From bbdb9b6dc6a9d6284ec924c532f6524a554f2089 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Thu, 31 Aug 2023 06:25:10 +0200 Subject: [PATCH] corrected some small errors --- .../_build/.doctrees/environment.pickle | Bin 243635 -> 244388 bytes .../_build/.doctrees/week35.doctree | Bin 915681 -> 916967 bytes .../_build/html/_sources/week35.ipynb | 864 ++++++++-------- doc/LectureNotes/_build/html/searchindex.js | 2 +- doc/LectureNotes/_build/html/week35.html | 64 +- .../_build/jupyter_execute/week35.ipynb | 920 +++++++++--------- .../_build/jupyter_execute/week35.py | 8 +- doc/LectureNotes/week35.ipynb | 864 ++++++++-------- doc/pub/week35/html/._week35-bs055.html | 8 +- doc/pub/week35/html/week35-reveal.html | 8 +- doc/pub/week35/html/week35-solarized.html | 8 +- doc/pub/week35/html/week35.html | 8 +- doc/pub/week35/ipynb/ipynb-week35-src.tar.gz | Bin 191 -> 191 bytes doc/pub/week35/ipynb/week35.ipynb | 864 ++++++++-------- doc/src/week35/week35.do.txt | 8 +- 15 files changed, 1832 insertions(+), 1794 deletions(-) diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle index 1deb9a6e859353c7c7ae981fdda7312cada47944..743742bd0b33b46cae59843b478f862488286401 100644 GIT binary patch literal 244388 zcmd?S37lNVRWEE?`)C{OlGkgsZH;X8$dW9_maW*M)wWhNvYo_sCU?5;Oy5>dce@vj z#*WE~Z6)nEO9zs$e5`>$LPFprf$#-hSi=$sgoN-2gqO$mfCR|<0(`s|-v89O_tw3) zs%LJMrUgIjU!s}mTle%i=YQ(dsZ*z_UcczwS6y-C74%UqCWt4?{< zR<|>FpzT+RhhrbTtGoRT-DkQ(ods^a-aXkFDAo$ChUXRiMz{0O&WD>`qq%dcRQ9S( zue$TB=N3S9a_0&0(>w0DjVk?(w{{-)3axg-J6UUa&7EW8^i4a519Hu7XK}Mp5LEBB zrV1j3T6Myo>~>ZL;)Q=NKFALud6w1AdyR%)^qNAvr4_e2*>)#A$hfLLGfDbrjx}2| z6^~dGy6ScYO0B8NSgYhs;nOwz>DYL!b}syEt!yw>tGE1GmC3JeLKB73*tpvmYk3!- z>UE>y6Q@=3n+}l}9v<#?R#n_~mD;sit?=EoRcK6niC=AbjS07aFJDrqxXq?tfTZJo zwdgfU?eVd8qtflHFST0r=DwXfr)K!caIFD_tSYzbGk85}cSX0e2$GC@-HV-Ng<8es z_e)#bofUPrRT^v6#(++u`e2LxKIVOKjk*TI8-)St4&tCF}LbgW?J~hF~3OMt$;!s?pW15 z5A}9C`%l-Vy@pqG#%G*+U8mIWCiZU)`32GTpYLpFH@&eqvjQ-vay>mj_h|783?x2ZL!bN2X4`89=yor* zI~#?)G;8ff!K?Vyb7Rf+#Dsr=zIAc6Jw>Mcd}njrt$LN_m|HB8v9+3zwmw#9Hi>Mr zU9UI1W^-(syIQmR1VoscX|~X}rd%He=!SOdx5%1r9jVtVKJ;_QZMn_}DYFS1bgM-t z=(bMSZ=rm*-73|f)%7Q8jh0t+9w_5yDgTh@@LjT;`b@*0EWxA~?!JBZE_@_ps?;WH z-Of__FGwwC$+n(=i zB!!Q8Rd*crNt{)iqVJQ4%h9=N)v*Z=WZ*)IwMxZpOreLN7Zc|G#0(H?w#S>G+a{j@ zy|vutxr*OxLDE4%8%&Qip`$6VLR8T!{7MTdUPz{mzAP*p%{O`%yn-Mz=2j}T=`pyu zT0_{1d_s2YP1PadAXHy#x9aT{ydC@qpkCN4)uz!GW%HIl<)Kmc*!7*2K@S=$z{Pu{ z$1UL}+};}t{S|Or2=f7tTO_FfshAOTR#aU0L}+i)uR=ph>%|H2Ntb(Btjmt^=g$*w zG4#n@bvvU*;|4~XoztFoZqMGG!^8BySAD_(F1;FGwx-Ofh-bQqrwi!p)! zjz&FnF>)B)(#Fo_fPkt*ue7&xXKC%p(z??6(uUH;(x%ep((cmM(w^r_cU&ypRl2*h zuXIo8-qQZk%S-o_?k|m$j$AAqMS}SNcJ#?at3CATzQDwK+yB^Nw~tu*m`X|h!6Y=~=Ytm#z{7?6wk&0&79!x?sqQ?;s3 zePOuRsMU+L=_)>Lxszih4B2qQuve$(pC5+Xtni<)=lMCF2L>+*a0iG};7?|0F-G4k zzCQk1^dY)W;I)fz>{C9h72V+~@@GrOXwdZGirh z^lJ5^+u|QR*X=ClP7}l;%L9CA6vJ1S$N4FBWb%*H6NNYFtn%sz6fky-O@IS2SgaC` zG4at#@liR}XeEzP;rJw+8sR3qTxa>I23&_%JmeQzkZSuGIH-lg4Y;q)AO@#aqb)+e zB8NT;hNp_~ebg!P)F~G82+%FPx7}IEqu$s=ja;M%&6YIzd*C}q`8Vfg2(%c3Bf?1# zI^s_bi;oty$p1pAXX&T-XrNFldin86tpL3Y9EV4R!=@+gm=8f@1HbOVi*C~Nw_&&L z<6B12=mgqC5#%Bck7(3bgkIRFbxZH>EIm{!v_&v2+Lb;8UyYBKoUIkkB5dZjhxo&# zM*zWt@Wa9o$hjBWVE;S1Z|Igjjv;`8X)>GOgJq;W@*DgK28NMwm?M zqAJ8W&LhG#g>g}HPPy)kQI5&=ve?I7Cx6H*_~M($B$_*%!|Bv2JCDLop8H6n%fdBKJP;Kn`C0F6=S z>#+u=wB6E2@Y|Hvaxvt0R*2vvi~%}J%Hw$vFSo}#1Dp(?p|@N5P-ivGqss1uJ&379 z;sy*40``1`dS|Bbl~&+Rswoz)yq z;akPvE~a4k`T?X=N*HB8vRk^l#~itY(b(-QKJQjASaL*zuP$R`K@f9V5a@OmAP+~5 zfnx6R+o2!)ju4XDLAY>|jrkTPe3+O}Tg2w&ZqRlK(pfa7U`7_bzodcK8WZ05XNy|3 zqB|4+WSRJ6Y+|a_JsG}=c|rIqBF$RC#k3a5IT0@|;lGhrh?;EXSPauMPNE6?sxD>8 zHa<=GJ~RAu`0Sad5ym{zjox)8JxsDMw1U~{MEj|yX2y`=s5YT<2t+g2B|#gKy8L=b zT>4P-{!*eJ*hBbX=^dqahreT1CDJRHUm_Ny>3U~byET!&E8p}dBQ|J$6TPvb=uNno z=EF1*k4a5zrVPvk5_H5DCRq(636UxQs?SI74pN(`8bxx*NYQLvKD(~f@TXwbwH6H@ zNFPlgXhv3GtXZd|-o=Q>3K6(->IL$LpVL$=0(@-=S(gfBULv)__5;o%xjJiPGubaf zf}K^A1t8mQQd*`YG7GOx&!eaOs*iYl(%Z8WR*H1*41Vma_~Sd-{Pzssy^})dJft{> zELn4B5Jgj`<;>_#k!}!Q)a|_H(!ZcSQ$+F#dZQe+`W0TJrPZN;W8+BnQhGOfwDKGR z4VgBRTE@IMQqV>~DH4=4X~UcpUc#dU-4or2&H&~)V;&}SwaJ*Rh)>aflb@~?763N_ zjkm^-=9rAz$ErH)!$ppjGk2IT)@LM=E2>DlBPY$d=#wYOLk#j~=ssb_>6xy0uwu%s zQpU0=^0m^0mtt03_Y3D{x)(*eRl(n5{$!Q1ZHP{Y?)v1%Fx5%8IDUu(L8P8_!E_B% zH2gMJ^y)C8V^@aHOW$4kp73|})j`&bI=i&%&KmN;W8Ra{ZRqtS%ge<>{-RiC8fYOU z3a3ZuGs)0$`V^@tuYok8q%nZZU1JRTz$%CQba@lnZavwiST06mZS3PQmt*A4f+r7o z5{vcmCP7MzefzS|&k0|7RoR8_Un&+mXevjUy9Iy-^KtTdU9TOfXQh~#Q+`r7&hm@o z*a?dj;z8)%kKVsjEZ|(xSxBFgN9+uU7Muzw4_tM{72+RyvQ|Ectw%(UgBL|!SbSmh zWVv`TNd96-BC14?xeR55g?iO)^pKMa;0n10%v`&%_kz5G9LM%YZ><(zg|tq!O@koro%jRx@n*{q+)_DvLGbVVbSObvW(J@S<#fc!QcQtux|PC$pCc55n?v%m)<`{HBi^5GAhTDUq)`$9!T^>R{HO4W zTZvepd}QQbSBqqnu3ZGHVGWs1E%kXzB*&s$5gOH8Z7_#aZ#bXb76_3~UqTzs& zoZ;(~<&1uRq4c)s_ZLfV4}TB8f-)q9kguW66PG@=g@alwt-KStdHSAi=dpRCFB8;~ z`nO#=^&r(PX+Co4G((M0mRu5k<-8FN^X-!M*)(nAm2EP>ov;hBau=W%3rmE3Vg$gt zWe|8phP6RF!(^p3)~+MW@ep&0*gOpNIXl~g3&VORjXJ4U5rK--Io8HR2oP_vP7vq# z0(tYIPfJ_RM+EpWg|KxG30U|AWE(r{8Gzw%7z-9_*O67yf*0078)LO`F{Ke{&xjuP z-54$TRamD+7nP63#6n%?s!xAR%EPJYxF-sA5Oi?lB3mQ|ywt_$OZgeu_ZWx%F#-8o zh4cg~n8j;Uy@C9f}t$z1mpFCwH0r*#en zH@EH~9ensgeF#ez7^${9PY*cwuYr}oM%CdDhhg;<1e!xT9~-{)w)rkZGY`! zk3aGF<4^3I+~I6{{PCM^*|z;2XXj4mrdymT4>MYktDi1mR!ONuO85uF2A&xhK)Zto zi^nmEa;8gIYIl*=ug^HVis)d8zEDBr?iGifNBv608TXtzG8&*kD*#mtrufBeIn!>` zl4!!t+7;2J>P$A=anYJgMC9!QA)LDJ!4pu)jwY)$ATDySxQk@lSp1eVTGF5`Wk_G32yg%U#g-C?<%{Crj zQ^gWc&IX$g!>KAfzzVgLvWOgxkdk3HjWB&?3sT5OE5?QwV3^!?%8rt@Fb=&s1riG1x3Q-*ve+;o1vL;D+1QIuU?Q5MlSxAw5daB7y1qP-G!WmzqQI z9vHkCf{=KVxB*_$mTr`PMGXU?>055pxWKeJ=TJqATFN^DB_Rdno`$wN`}gm6wrw+| zF1W@hMUufIJ~)99N04pu(lCudY&me1@IDiw_uDa+U4<$Zsh2ImTLKR2d zYPgAFyP@;W{+B!W2dvUCkmxtDAqKrCu9Y&X$GD$ykCyD75upo4R0P~UlribRy^&JL zVY=sQe$k;yrF^4Z6>d_DzZhL&YZ#*)~JL=s!Z%3OL%r6q`}5Q8<50F!|uPbxS~hpM$ODD7M| z>_`$paLlEuQI1CjwL##@&tuu-Fd$|Yf>KxHEgB-Y6G^O~(2*7ria}-q>W@d>s49v? zzE;c)sB}YAZitAoS_|uO%lA_LC;6ptDq860>TtP9k>~lwaMf$=tk$P?25s+0{=2z%CxFUNO;z#*ViJv|{=(I$c&aUA zb5;0-LAHf5fmb~~gbdo_+qrTLsg;@q>zc-6mBOT zmES-)q&Lz(Ay=!z#h1WtU@<>Nc}HaW2E#|R+{1MO(X$odvo_`3E=HfP4L_&O6qIVp zl-AYJQ#nCxxmZ_#r6QjmChj(c&BPQqTnVZnFSzB%!^e+1Cr3^kcJ4iVV&uW&_m3Pp zbms8r=*zni3mfFy!CDj++NUswJw9^s=))sN@#^v8_g8$Xik7dHily^pr{(8JJI|8} zNCyMF>?dkjgM>SOf?{~snwUHX8S`uS0o)uHDRP}CNeOOD1gO85>=OoBdG|b`-=BKeBt!S*WXMBrGQC_rmc z!u^@2Y51qVo{?YlII4k>wxU~9+#dgv1tV+z`0ZDumy=hCc)2w98}ymFnJNsz&L{T@YiArlv*pg zh8#IR2-Dxu#3xuX>crZJqGSvLC>Qh_Fm*~`1>YOdp>>Dw)h&{I!=rk$)>z4N;pd|l z*Th>O$U)-b*p-50>`7R{%v~z>V7k^gN5qaTO20ze52$jQb-7u7OYlJIp>x%%Z|u6_ z{cB~j209srE);(v2h9c4NAGX^qFBBWZI{6egA^UyJn9J+^MWc?K)5czff7phxW}$+ z1=Ls48?v)=Z@!v7oN~`04aKg5mg?~vc54LveH|6WS3EJQMtQ?>F+Pm0fkW`C6JpOt zqQ)WQNvscHMQ3OMb`RZf3ZWAu_23Jl#Q-+zpt51*3BO6zut|p{9-D1FZ*)7?*14EDhJ#*|Ii-1ga1ZH70%qZm%8aW^?$k(5Rs-Hd>SqaVPqy zjc3i0!$LxI$*ueI-@f&>*T_L@rDzodm1waLp6h~qyiPo(ylNDJQFIm#dBmXj4y!a zLDqM&>XMY=x7q}x!Ad@M=PaQpp@Lj%XBnm75X!^CI!kHcm=a@Df6mJxl$L6syk$iT zyKmg$n5Y;*^b(4)st{CrK%BAjdt%F1n+sw^ehe$^p`!@eNNsH@)a#t|RTt&MZ&)MR z^is@vdOEvm&;ZeAdlJ0Y&S7QlVreUl#p~!zejx0P_QHkFwoqcQK8CWAs!JId?Di_0 zLlsN26cg}9?&4z<1+=SAwxMGzdKSl87-@onk*E@(vjM#X-PWtr5lmH!K}kthbj8lH z=%H8yUKjltwnb=mvRp@Z6+wi2T=dRU78nB~wvBkzJi2GpY_n_@d}Fxq+_`d>Y_>`^ z6KQ+x_naH2TrpLdMh-16NeoI7Xh?fG1Oa(O|ED54=F zLB~bBfm+-cM=||J&A3bi{W|1nqogIo$9#^rz^vZcZZ>ve+uzQTk1ar0Pz_&+X)L14 z@2rX52_ML}9Qj3{)@=mskfQVO4v4&*%~;f+dLvC$>|0&RSeFI=5?f!3$U zWukrv-xAIG%Ws7x%V~AFgFmAwaQOxNC7Zr2@z;xqzuu0&Vr1Tt{PUg3Ki`Ev%U$tL zFq7OMbGyORUs#@`NE?R2v4J)XMZaScQS>`D7Dd0mDsqw7b`*XZ->}BMc|7#YYiNHV zvQRauzN3vLV%0PpD^}turw(W&L_q}qAxH1EvH>)VEEc*fR$asQX$xKOe!bGhu$ZdW zSTCQ8aULTmauJ&8&jK7+Zj8*O(k=nM%9~7b?mYDv=^md{D1!vN`rW#TsgZX!{n0 zjxl!Ei8j32jYw8xW@04Pi^sv|W5I;6TYi@2>LCbBBJ@(t8Pt=AD!uTzx{I>(Nc1v) z0Zl6qCu4sx$Ne&k#EJ-?HvuxQ9Lg4}1dAfT4yu?V;;eu$BIVLnu|6M@aIJVfz6Ug6 zp)4F8%QaCB)~}$8Y?y+AF*}*2f=+_g`uN0}FxFSp$ z(Zcd_w=(U{G!g%}Nbz7RL$ptC#jt3+L+pOT&hqdHaK*Mf)G{Mtqs@%L3&C!?ZfCMPHfxbzhtJ9HWh~6lQs%Qd>)a8y$%izvo)^!#Fni(rAcCaaZ~)c*rLiaFih`) z050AjoR*#BXV=A_1*Sw3)d>pD;*m8rNQTUHHYImwqpt>=v!!vY51P;(JFGVPG>|6n zT^;QeJkM285&6DlP3u8n=w1hN(Gv`5+UU{`GP4tC@Q`~L_#xZFu3IuOQD1~fvv zbg}f7h;Z~mm@uKu|A>##ks~SEsJ>sxDMe9@gsAb@m9+X!Nygw4o=?!K{9>fCXeal{ z&Jx6cT@QZPp1%1v~dT19I1t(rhn=1UM}0lY`R^zIxZ~k}#f!9Ni&* zrJeBP?x_eGlc})9o)`@@kvoK<7I(*55c|jG9%i{IVZ9Tv^iH&F?u6T=H)7d}lbscfi9(FVEg=mmm4{bC=}2SP z_gWK72`949a7C2py#%FI!jsFzrt*g|)OJ>(H;OsV*aeEBNO6=F!LXG4bWNCs!U!-y zYd7c6bfDy7Lxsq2!xwipiqIaXQ@}03sPI+f6pPTrx_D`IxYgu|V24a;L1(T_6rGjf z$`vrCkeQ})*lACt-eX~{ce}F`=>@7XVnoB{Icv$xATYpH2qy4 zmmhM=MN1mnKQBMrEm|%bSa#x{<%fIt!{uN3>pzM5c+hag^k3f?eHOG^fA;IoN1xrn z?{4_Q&;Nb&*&?BKOW#85Au(P_{TB+ zah!jg;2$UX$0`2tZQ=(kKd5Fv!TfjOqw@Rk4~fuOiKSD@)^Xt1eG#%!EKBYqX!;&B z?JNv5!D2sykH{x3qnH!h&@um{KNoQ><;1VvjE(*x21U4Vdpp)SDcRiZeD3M3G{A4& z=WJy+hf=Mrfjg!TvA1Y=*X{J-6jJCEhta1ruI{{$mv2x{pYrLT6A?e5jiie$;Iv6E zNqEmQAQ_$WBxYnpIB2_v8dt}IunAEOZ3g!m)It&y9t@1|&Kr6LPrdaS#IxVdIw}8R z@blC7d7`|b{7d+G?3$N|5?-fM!p0S>gw-z*CA?mzgx^`oN?7|6QNkN^N?5a$l`!xU zQNkN_N|?Ncm5_UhDB(>yB|LLAD**@3$diibxLp-uo4!&M3m6cDPhM;ObIXOl<@yw_0qD0w+SUA(+PjMkae)Q-7LSTQ_}l_ z3D)wLNOyU=s-$CIWgT4!9lb-Rqdy2n*uj^Gj^3&2=){|^WF=h%CA~}Y{0CysyE-Ml z^EM`c1(uh@{EZUEvt&G5H^efYLoW@Tv^$H%5|CI-DN{;VEEZ7-T636oCL>wCNVGt@ zJh)I`S;L(Uw&!EL7z;4C4**p(RKJ>AL}});$gNVsea&$ci(ro~Hlqe7bc)kU0YQ0) z8fu=SkecdVTix<4Xwe?W3Fxs3Spsi?FUnnmbM(O$`$X?!qpQNq5_=&H78UMJOf84`A z_VbVX#E)ZG;4F{e*YW}U19>QyJBK{GM{AYyB+em!LL6(>!a14FVHCKE9T*Pp5=@-! znUu|j0LytsFli&_>Xe+6uAM{9>kgup0=s%hDgjd*Ek2nyvdlT!GWV`E_k$_!DbG3w z_qUzF+3*eO8rT3SIL970va{ws=Mzm!Z=K zN46*J-I4}N`z32>m#3tqtlu2ct`1_NaI8wop*&>{|H_)fl_?G>B{v6$Bd1~|c{>Cg z1?ZmwIVz(hh{&YV_v<*QDMV!f&Zd}3$}|u3SPTDTt%W5iEl^Hw4lUetFgki(48#vt zaXXRMIFHlWi_wYhNkOx{!m=!0Y#Yz6NXbH}wK-&2b2vO#9_Lwj=bSxvBpKH{XD&Aw zbD13BDC1?y+uk{N+uLQ{a+k;(C8Flw&E$5e#PDnKB1^OD5~ZQE*&Nc`6U;q>do6Z2 z4`AasDjFxLM~^fbD3BMHK7}oi&S_C+gxQ?f{g;X^E{PJ$d!MnqsPI!j_&)}$>6X%%KqPq~1rkDLSmg%IiOv&CtX}vilx%Y5z%mHDBit}-I97n+5 z28^>M4_l-Kexp>|Or_&+*oWfRq9vufG*T?_Wwa~`Doe1iK? z$k-{q;yZSBIN?Nyb$Xf(F(kXemL8;$5;DvKJ(m5sOO%~bmUGB{gk|3wgygu;No?ZdH>Jj`z#*F4C45Hc;lc*1|!=`V{iF>{KE#~1h*4jo%?>`I)mFLK$R#g{W1e{9S~K;jP~5?`_;(TQ~vX66fmQcq-tY@ylmC>;ii zQ)APU&ij%$&C-q;T(qQLpl!)bgU7tz#Q9E?clPqQu0~uK9S86#6~L>ESyBM}H&*-Q z>nhtuknExZjBw-w&O^l3)kY0c({M^VED)gaMZ8ILGQY)GZ8KI(Mt{~B%DMRo$$viN zKaW!riT`}Wf2{9arR#k+8S|)sccU$dZ$%yWdO@ORx3lea8^T`a;{4BA(V;sIDybgV zqYWc?+*q`%2yTdao0})z@`ATSPdldRYY!STq`-B=mP8sZ&tNT+x#%R~7gjNMeREo6 z$>Z~2-y~6vpRy`WGscP zk_G>q-(p|fO)Od`AH`#;^jjjjdfpQEPRJO35qEcWI}g}j$Pn(>4sNTYn{aXX#6yiW zR|ergpb`pbN?YSXA&3)la03&A$=WA(=b8fVJn`f<@;H_$z?*v~&SnDM`6MEo)S=jB zfjTrkZK?CJjBPHkiS!y8=iO(nJJpzUtNv3Wt=4Xc;V^08+7^t>CyeFIip}~Qc3cO1 z~OGm z9t&d8(Sh-9+{w_MW&UepwPiJ?8*^$87cA!^mSb_#LbYH2g)wW2U42!MxGb~7U^H8Z z6l-d*;*VI}%W>}ps*A)}v{0P-kjNZ#7C(+z!K-&C$Dr`TIKrW$-XI8?R00K20)Kn? zJ!JjwrGMUse;)e5*KG*0ly?m8rqr;L( zwuC)s0{er;94j7$?jkhH=O|+Y+k;6b2}sD1iv5}e32Bvcj8wL>!5yP?^#>gsgL?{K zf;7*^9Xe-m34yp~0E>yvS)6FB33<$3WgDC}h9j#D=5yi_6Otqfh4Owij|vAN2~4w? zrz=L3AZd|0l(mf6R1EJ)TM~VT{018G4xmn{R&{Xml9;ZE{Em0QrI}sQ<;>Zdf&Ct1 zakB#Jh>>Jm@S6|#<$O-aZ_JG>RJi)k8-L#Y2xyuSSgA ze>D~^D{>oi3AjW+K+MJPTB73hDPw*Vygq45qVIU!bH>A(EqPmL!{M{EDF`UiteS5( zLkiQwxn9ZgNwwPfk|;6qe_^bqtjOP!!`b;l&OD*ca#BDL$VtBja^_=IqIn@^%siH= z=J8cyrWNz}iYvUjJFj})N9vkyuSs-H8v=~&!^TRe;CCHfRT8YzZ$8>nau2|7y&f z0_&%2N%S37+3QeIDs~}pakUrjsz?S}b2n!||JqpKtboQk>0Yj75e&osdW`}$u;7jy zx$e4JMe{F=IaAR5sx65$nii>0nN8&yLJJa-i=VVCjw=%v;r96tfrze%vFGx$b){U^ zUG?$MqWlo51=uEY1M@SRqf=vXPJy_5B2h#7ZTPCdSY!>OWBjd(y|z$)Dm+kM7N zDWKeI3ySR;#Vv<9F}=^hy-~Q(%@Oyj;8HTa^_4Dl#>wod{fSv$VyueBYRQV#Ef|JH zT0PIq=abCmL*^sj4cK(RxyBqSz`fd*g!G$_G4}JlHoE>SI@@S%qBZ4S=+WQwO&Gn4 z#)4%%mixK|3CYFXvzv^yrye;(cM;d< zdL0~4L&vL&Mf4(WSf{(w6Gw;e#y~nHhnxkj8s>XK;=^TU9_X<({+uy#S*`H^{C+5N z-i6=Cy~AR0on+3l%=p2_rR1lvX**9claGmHj`99=*V_> zxb|QT`+o{3SjSp5?mHoI3%IpJvt&JcQ-<%4ja85pzUy+hY@0Y0Ytb=IQ%lmTj%lmX zzhumqg3T9fNyzT}`wZ`Vj{uuQ#esm3)&~T3$U~;KEB0)~&|SH_PjPN%b57I|B#Q_H zfARjL8w$QE1)8aiT+Mssn*UL6O7CDG74XJG2aB4q_;ZEhmQQ(o|tz(`X$HD%0= zf>GI)MBg#mda#7^ol^D3(g{izavKMExAvBu8(nD%i(W4Dp&0b@SvUc!|Ic$n# z-tuwYVpgM>L+m!@N3ofmwj}zF*0#gv-3qpTgtNhzS{ziGN3;55x6k|*Bl;?1@v|a2 zl=A}qgBfCs|9lPm2-K|utBz?VDUTX+s9=27mPFq%-Z)Y$w~?JG;g-t=9f*SqFO_*? zuSSgE>x_lVir}W4E4a(2xr=p5&5Y%>#tbQd&DfIYJ76mx@tbX`KGFn5sb>t&4;zb; z6`oZ&oU$3?C5DP-!tn#fd?=`VpDl^LqjF8W9?%in>#0sugVC%l8L`h8i=K_-W=EziP~tg5NLMlIS~rsh*R_nx&pGMqe`)B`Zb?bAEAGe9d1ox%eC7Z&$GR zD_atM$Kv+rmWuS6A8ljAuG3m$qEed{S(;JnkQL|Kus=SMBDGFGTePa#R`DuhCKa$BwI$Jau(v&0@^RiA9ano^ z1Vd3RkkiCg(n`^J5XVb-sl&=Lzr`@W(OCSfFmJ>0W#B(A`Hw1w^2~qU$8kxq4X~?@ zX|_hZ&X_?3;@8@e=sU!l$zPv2eEeYv?Swn!S5g}odpBbcf7DpOtRQX?KDpsl+7i5g z!`LvZ*#q&z#w;nY{eUfrzQeZefZIaP4EM5VW-8hi4AyTMi zu_e)W4AzK4?CEZsgB8C{^@&L|G|w5AjjQ@Kr&ycA$<;+4JfZwJ;31+~pOB!qeuQ66lRtvZj=k-OhiNm&{n~b7Es(BJgvT3bht!fQV81t)G!>epbq^-eX zO;Rpv^41{>5|WFnZR;+BO=99s(q47YJ@CClnjxLogdIdK%qnWKCyNaJR7C)oXJ6A`0 zkg!)@T)PJ*aTX6T8HE9>b-Ru}X3UcU$xqvokR9eT8=^Df2h^;N7ai|Shap)*S%?lmnBNfHYz+)A0gC^Hu<1N+@e;OZ@H5Drl8B3%X-cdoKXPneC zIKA{R>2$3w23*XwCmXftRw-!?GE7n%GM+VK>9gV~!=!q|WIkXr=FJ!B0;P&ER|+P+ zEeYuiCTvN_c@ta4CC!`q6t3O$usEtV+#++hUBO~6?j|CyjXSw@qf53|*si|cSa(_N z>gF8Zkr8m7_lR@4l}K=|8*MZNQQvFKo?>9{vn3%7Yz}CxN1Gj^u^@p4jG~WnurhMta=QYl^5oZOo>E z`7a0(m(S7PNJo-l7Y4S{i0TWMVgs)suC1kOdZ$wL+Zoz3WPfR_i>#1s#kTB#XCA~| z8myUT9BC(bj=BFOI`{uSjJZ>g`ZHS+vUmQ8EeYxV**vM(4jrdZTl1c{zLciyMfFN>W&O%tFnUnAxl&Pcmeqjmp#9D;8Gw`7xR z#wV$x(yXa4pdU5XTUJ0{mWv%lO_+wBg6C6iAfE`eNj&oOLcEysSf=yzA2w!Lf%=2C zBxJY!fGr8>JlNp+={#&RKEv@D-L#7tdN_UKi9t|k5sXTy=*{$HHpH(Q>ocn%?o7<; zNSes0@RXrv$;Ikpnu_hO7&EGv-Tm^;#xbT2aISFwhxY)Pc8 z!NQYBXT*!|79=DW@339dA}(+)@9R-;U_Sg>Pf4#kSgW3|RoX31RL$no%B85f;(#$) zdOt3Ol6O@rDj?HIRb zjYZ6g+ttB|W3(9qmjc%Ef=2~8&8+iH#yly=z225YX5_5h**YB5f^;X!VG5#JQtfKm z77W)<7|WFvuJv?8OUReF5-QcjH1!ofX3UKO)Q<=fm(knpjEyF^Za|zG-Q0)ekIGE7 zHbu$K)EPC21e@{O4BKxTD=I5&JCRq9Mn~LI!17=XBowFTkvoI9IQ~kn{q7A{TzLik zS016UQ=TmU8^$~<;QpE|3E2yOneAh~{pTxtSOL~l3OGDTWLQV3)VE%1`V@GGVEQ!H zD{4jDFMg!fz~Q&f&=K6z<70so=c-nlR6^F=o{X{k_&sb{|7fh@td{j?56cQw6jeiq zDiT!|P?=B>9kK`&;fK%=-4GjSNG6EL0yXac>&7A}hWEF&B+`aw5ogO#oqd}H3CTsD z!iP;~r)%*wQ|Hup8QU|`Az!anYn6&y%e`KB6YgAoy;7&4_dBY*}*d}s>F!JVF)65&Kj;2h}Y&m zC#5gnz&7(vW4&gznb90g#_1M#(fwI3JlUh;RT64R@0t^L$Ip7$%AoFy)fbJ0QS7WE zNLr2LhWyNbl zt{HI#?;LWL080~Ff5Dg`1+3q}@W<}BZ8*NF*UiLZ$ZoWge%_G>%Z~=Ko~ zMS7TeH)FUyWGrA-xVGfnDu9Y{sDn)t#QnH2OA2g1YD=Q;uhZMWmEPm3PrhO@> zp>-amQzl0!(T+p@ipZXXjxM=)o$P{_NQ({N_l#AQ)c{^jfnFdhX2#RBa|N=7`y*f& zBrBr(K-SdkIo`Q7k>Bqa^Q~CPZ`qRQyOj)`5;-+0h8K&dz3d^CU(5a)WB*Ua3doB6 z_FRo5$W!@zla^9?p&To7Sfk5%|1V<}6`23QmP8t6i(pH}Ydn5ikdR!wMhMcg0N6UN zT65H^B6mx;kuT5-uLuyrD%{pgmM&u!5MP%*KP8<AF%(@HR{%8YBL701-YB!uCegh{-&kk>LBsYJZ;jS5LBrDvza?>mk z4i#wRCrF}vtV?PPK#tdIb<5rrV^$UXeFpDCi?6t1`y0B?bcf1Am~54{mbc@_6WyMU z(Y6YC73Z_*{E4F@>4L%ZLk8p>#!_YlWOa_S*We~UiDH9Ekh;R&Wmi6L{H=9NjHCZvStf}w|G_G* zK*DT^Pno3sucsQgy}@nFILF1c1f$rY4BaR6-m#>?p6Z*%O3MgU=gwHECH5|3&KHx7 z<^r`qHacPw!%8!dElS)j)VZ^781t)u{P(sbWEcKBwv%4*gY8HoHrLU~By{_vLwAVL z3OpSt5Y*=-fuFlMV|>kq`H9b!?%26etfz(?=LN@f7+{R!7@V3U&t_xR6gW57lIS~} z8xFWllu=T}G4*B4gq_hx4ka<{(T0J$-&nM)opU2jI|pxh;*I(uc*{4>7iBcDP`Avs z-;MN)~7c08tevxVb z6jf5SF z`cflGvIRq--waPdY*KotiH)_$7$vhRNvAmv^ceG!vC6Vyejw_q)Jvtz!5HaBRRS@Y zQ<*Q6=_MCm*rZ-EJ(RzPl@m?X1ipZk3!w!@2f4guF2uil%S1B_aFIHU?|HSNt|& zgS1~o@IwdOjfR1J($+h@8Zk@{8w-~ercF4bj=7`l?okLHt2tSuEAcsF%#Z@uDO(bm z0kbZLhkLeo7oFls-%7y~bQ98vagO64LPBWlKU9IWf+c6mRs& zUtWz_k2CJOP1G6$`C^zy(W^~NBu!+thHNvxZLFuPHgk=rib!xtCj&8;F(cBf-~NU% zQ;G@wnk@-wLVW^n@L;3XB;+bSHs7b~$2#g`2I?P;1g(5ySyABm zTU!!+hiBsnI`IQ>2x4#K7Af?mGZK>hs#hb1YSZRE#p0b!(Xl(Ie`D^%USF9MSaeLY zl)B!SAqB8Cwj}xv*meOJ6&ZG#P^R#>^{5v&NQ0-;D;>vT>ll&lwT*xhP6P;eEqHC6bydn6ov*eXp^& zS$zau;>P?U7@=}v)Dwv_DCjCp%4{S&fF^rzw=ru9n0MNeNP}sSjg<*qo+w$6kX&$1 z(1L{If)_k3NJuW0+Gfv!W$ZU!-ev4{$7_?KRIlfz*&mM9vEOKHDf)guB5K#Me?qs8 z{W{}sRZRS~g2ZKg#H^kUuO^e-7RpaAfTwj}xvzy?|!tAs8mO2{NC zJ$kfZc>cy%w5;%K6l-E3Z<=J$V%?hcUm5eGp!MgrB>Ill>F{12ilHk0Ij`cEYPDjN zFKqI?S2&72R9mttyqG@zGC7NzfAVZ2gICW_c&?07oo_?D7ToNEFimPCvX&;_vV}v~ zLyg4BLq)^wj}y)UK<|un>dypD=5xE+E|6V8I;w$9&H%t zy~d(tcLviTZ~21YEftS1KBk#k?Kb8|L2IWii8NXkL9C2}IbgCNA-R~b^=d&J{2iA! z4&IJirf3_a^9b(W!4A(8E*;V9HFr3**nz#SKa~s~%0C@N$2DW*^u|bnYop_z(?!P> z<8M_=&KD#sqGRjD!p#rhw8cif;zGejKEgZH>hMOrSOI`Hj6mauIa+puAU# zL%3yd7)L{g$A^rWQtG>d7!XUvU)(eK!jNMmF%63yhgmOzsL>5`707-M(3yXgLL1LGUL4s^S*X&l$Sgj72hW3-q1&7*8>T zH0z;5#=Iy9-E2#u?+9%<<~6D~y;#IPRjlivl+i=AaC*6XmUfKTX=4$yB6fA|9P`MN z)&!3++V0Z$HI9>yLUYk@_MLR{4UGA3I zUfU*LVpQA4;%7y5Tdo-LpO51^CHT)r`&{GhQ!~$P7&E9qT(c$7cZkqVEXhH)~(fB{*?a|UoC<> zC0%srU647-WKT4Fmy!JiV^w5Db~tt*7uI~^vd}^>%ObOjanv;>#y@Y&r-J&=+LB14 zZV?8{NSad;79=DW6Sh-=Api92<;_1ihdfkI(>Z~yhBtTG>C;i#>0gWi)7vJ=t4%w7 zMwfQ_rt!Bbmi7%n!XoWto97th#XnlhaD|qWoWSr?uJ}55p!0n1H)c(N@`r3mq@lEk8fDM`w8uOzV&F2M)%jj-z zdc<$GvGe#T+UkN-4=zIVyd5cEl9*(Bg(3Ri#wy7Q(M`GYl5vHx_{v>5(*aXFX%fh%j9FBy z?YJOu8D0O)loviYa^|cPDM6eCpB$8vzCYtTj9bfCDOqv5MdXhQZljftco+EfcK_Og z&Ym>pP=T##OG0+fbBz3ayZ;+|;4AkkCb7-Xo^gGzvB+6*-P#LRxz#W}q-)PY`%Yu- z6inY`OQP?XZa#>kM{u@q5Ud^bt3D2-E_$iM`+GNI1V3dgU{(aT;LeqRLorxSg2Oy> z7@KoxPfPoxF;fa~pRgs-ci{Gq(rqf9b9x3RYoa`uuGMMPXdhn@0E#+cvG9sALfpqO zHERHViL}@RzG|$htS0dCTvN!JuM1hR=2Jwm8yzd`7GVma?pQ3s2ePJSTFDNsnPz>( zm~+KWzHCb(Z6_9CnT+gs#J3PpD9uOKEZM540 z_Zai70DrqJ3E6-1Y&-KE`eCm)qaN(;*&!zUTmvE$ne4%HH)pILGZr{2)=ti4j>B>g z5j+Tn8Tmvv*3I`{Va%I?=fk!n(s)|9bU7-pJFy@kx#-uZa4pjPT;oT(oWyl;G`rtH z7ht63__H@_zjbw>Qb9_;W1c!Vj>!FkuX*r__X1Mden<2}?CFQTkQdk@0rqEe;*Wo$P3 zZbT~6mMZk9UTx5rGX=0L$N!U#SVXAS6zlU`-aih|Fhf<#X@Ht&{yAgE26q3d#M(^VQg__Bn3&cPCG zJqz-($G!6&3c2|L`oxqx*=gp3AOrh4V{K*y_CQz#MN;P>bw0YDAzuiD7PGYq2`xfx zb2)i~CFuO+YmK>AY+=ThgzT&5ZAr-Zi!Jh!;;%WpwzbDtbq42HBQQdG*=x2^ z{v!R5jp`%D3dw3zt8>_?32tc7PH+?R<(ic5hm09f?BmA;iOc6J^0ZRp;&gu}^wdcE zb5f44eq%I_=+H2Hm%;iyV;yA$D=*e`AWJ@U@pN({&HRJ28hb;j>+HW{%%}q9Z`qQN zo&7VmBxGl2lll+Y*{_q+8rM1CH;Q5_-{Be0c?1z{auB*E-4^@zqLyr13!HvM+Nf?0 zCSa(t9S5V>v**otDEa}LF{hxZxwyiZDaDTdk1&FsPGSD%LHi%X=>{lvJddO5eNim4 zBVJC6j^vC!*+y3@=DkJ($F>~A?9@4;JFXG_e0OlPC zC7OQ0iK_0BxSPGosMm}Ykrj0uZV^aA^97M&!%^}KG2#fwpK>tr;6H`=_iO#7F^dY& z|HGC<-+|uxild?{??cL&m(G+fob*8~ZiA+?u;EDaJEor3KT{Nr%H+9Mfg$ zjrJ>yc~dZ5W=o>)n68#?7$?>?Q=9LUr;OGe#^Pk{h=aKOdJ_3SIyNG89OA&S0Tr8F z#+)eF4BL`OV`CB1$*_>uV=YKXF8;=LRhYQIvi4UZ;GJ|BjY`5ubZQ5-V#gTdrd>~cws^{_bY{hte z(OAB$cx}$Lm_O0w>IEE867UxTO>-RP=Z!g1K>M5^aT$H*wP&#rB1*pDsA5{Y)Z;OG zQwHTMG z$5CJ%=|MPM)&ndg)I*;2Kzr_35A2&mJ)mWzhlE9G-1Pm%awrzH-8--*V>Xc28>=;|fvgFR`ipTC3p_L{?9Ujpq8Q0jwj|Q< zSRgEogcp7+NJuU`ksx!+d$2b3On0cf7eAlqmS4s{?&cr&@Q?lCN1%&f#qZ+fUGZCe z(rY&`idQ{ceAhUa%)yku4hGrUe$E&ly|s~e+O@oI;;RBpe0Fj8tsgi3R>iP>Mv%CS z!O^uxJPdV6Lem1l>^Bq7-jo&pC1Vw2RD9>U+(eAie9s$$SL!0DFBr3>AoKgSBxGm% zT?Ti)BdBW+;&PW-1t+>uX446}$Vu)Z$#`n^rVQb?j0MdOAzj@Pahk$VhQTX!dFg*O zW=nzapKVF>9l|YVyh0mGmMB(W!`6Ga&MfU1yxdLmGi^~EU*~Gn)dW1IfQv1FuhebQ zb&PpZkh{*7MBkCy6of;#8CTSxXh)__&sL1u1IFTI?Q)yL;E4F6eYFvPQH-=wcg6Z) zV~!Ne4%m{&jG1+EW}~>;v*OO+mRKAhSn%qoXQ?KmiB7LZ4B3>ibXg(Wl$)Z9M+JBJ zICn9`G?~w`F+&PslY+!$3_fn*ijn+zzFr)scX1kABstvzwy=o5lVe!cml&rPjn$GB zr(3Y6o$6fz?s2RfbI%)*B=d3Dbg@atm_r4)i?$?WS9_MRpYPaY{Ya#UUYF15n=pDm zV=P!!^fu(Aed$WMR$>#8Cg1Z@#tbQ7{iH34G*}iBKRI{gzHUK6axq6ZYwewB`O=X- z(22QdXXwQ7)5!|X&fLw}mj2vW?^$i>dcKKL=e6@wm3lm|)vSa3cVoU3lloIZqNn4Y z_pPP(iqo-B20;rPQ*07 z@yqIz4(E!2e*O-09f_DoNJ$={wAD?i& zun53^9y2ytO(&m)Lx@o7)o52zC46%=W)xp#tcI*8-oPj_w<59xw{&C@&OjI3#_`cb zmya5=rXY0ImW1>%-^L)%cXYY;0P4}ifmwbFL(!xM)no;JZ*Dx0Essi%P&OQb0nxDa9c%aT&K!xBFb7Ti`dVX#6?2%eCDC_txZ#LT z3D6|)sM3wJleiXc&eja^4;zb{6=EkhLHwrB#8r_IzX>!o%bh=9%$tJd_t}!@JDS^L zH$jn$K9C-}quTW3@NDoNBm5a-6=X&D)?8EG1x1cq>9|sc1lF30$X_+)Qo;I{Y)PcC zwutm(u*d_x1qsOo&pa(iNG^Dx&4PsF;-_qv6Nn4!mVC=XEF69atB2d)(51E4p+#3* zQQBJGjvrWp?KM_fPpd~x;Y^q*|0yvB@=T4+;GpGHoH5s;4U{yKJK+{eK4x~usko5h zW?`Z&x}Yu5&&uBdpWJ~~-!eb*FH(qhwRI7c6j-xdZCzpftxAVjCP?(eVE$vz!RQ2( z@OY2Jkfc6l1rHmGs`pTef^nU9`Y;lit+qV*wL60+;v%)rfi9~q>jRPREs zRHgcu@fkIiC_6s1Wa?eer6`x^5|pQnSyAvg!OAuEOtz;6tsg~IxWo57(c~QGuurAd zV)RYkeZ>`5UP1pc3T|tMOb77t1{6LmtC}pW?n&6W;%j zF;9y9e7`LTX+Ql!4z9M`MjFm@!ZWWNJ{Ug{W^}gnZpX;|rm=|Gk%RMP9_5iQ0gti1 zuL;(F-Iyl@xnHp*(RbvA&Um;^S#E$mj&Kp1lw!xgjMgf&0+0kU`)iEr-y16+E3Vs7 z$`VQ-HppV@5hRG8EZPhth{3E`bN@SI78RKPr!9%T!+hJrv=2*m&cLq*ofK<570f1h z$vcI#(VGnRhHZVCLUeA+wMh=yfde_hTR8G@F=B9QR_fLoGpWG6+LlCSxUJ`hH;%Sy zNG#)&&4O|mqcb#m^iXQuHA8#GcAv4#Sv#_Wp*7@L1-Lm`j1RDy<%^dYbEW`#hak~& z3fXfSZyWI3aJo^$cqxwHN6ZsSA9d5D&z-Y1BlNhj9 z+T2vY6CL!667^(f)@Xp*$x@^z6*@pATAk=ESI2k51}ae#~nAu(4=a)x0d% zm}-ipqpn7n#UM&n!`!A8S|tdcatrN{&%S}UcKTLJO@{l zpm;jvb5jo)qf^GhWW@+OznPnStwE*S@!@c}dTQ)(V@4EU9<(LVe_(j#PaTU=b17g_ z4;h%2u`t1(>QWiM|7K`>2bR5>c}_-o{q3+B6>&6o$&t zEKr{WH-DYMeXp@XvVyxShl9sZ&xRt)JS0NLo8}{cLW!bzqAq2=QicCJjagOTf0r$Z z%3Wce)21 zQC~Va#{DbCn#_v(eL1YClEiry7(*`vj+VNGHwe~)limT-qx4X)N;hTwvN7w55&V%Y z3F!^KXiGxQi`W$ZW6g_($~#a2)L9Wf3_KYsBp3Owsw}`LcT<9_y`EUCAoJvc(x0f3P?#O;~PALRt||pG@=-*s`=DE_bpZA-Py= zyIe(F0Qa|E-kP_Y4p!P&bf-#cQR@G2wb{nz4lMp5%NbU5k zZR_z>0Z6i}?S%2SDn9EWLE`caTCx{u{w~F!en^n$*`w!wVPaXN$%Fe7lY_euYr^x)3U#5K4jl zuZ`JLVE+qS5`BmLo(T5c`>?C}90e^i;SB>tx8;fu#=B6j)I>nj`xM|yqQr(UcBa0K-V zb~y?=pj!#(8db4-wSm2$WGeI|>8#CPXYB7VR!CMSaJ$5QPrgY4G2+jhRt!dDfPM>|$?XXy-e`yQC31f$b$xV%R@otfs86&+l0OA!9xj zi}-O{5`DJ_^T9e{2Ij9b_MbOaNLK9UVXXh0F>?ywpS2~C2HawxmSa5+5EdjP7e!k^ zg0cQ>mv^kc6`8<_k1XpUnz%$auu{aD-eH^!0`7`}fR(q+&lH3tpDPF$F#ayZ(v}Dk zmoW&4mRHn6O_Gner|&QpQQy-Qb#_)p3o3$>Kr=F>z1{em73JPyOG0*_9OE5 zsRb(&bo9n#qt>pb>X~M5%22h81_A~R~%^)2Ek z#{zOeP0ztjBnOB5JMl9rQfbb)n=^dxF_t(hd^d`dADQDkIL?FPe86#@PSt3t^O|=X zbE81`PC?=_4mEjfvu^pcHH=Pmr0HAJ=LNr@NL>`%(h(wR7RvBlhU{mJm6R2-VcL!z z%ED7o$RavkToyVjTgakx!H*fUrr`I}wj^X1{0N)Ce2->>VQ?0XAc^3tqdsQ1zHBT| zR=C#Slx1-s4c~T$F-`4Je`Nga3L;;$C6PwNBF2}~1n$=sBqSGeL^;;3dBYhRP8$g5 z&(h65wMuQ$Plq}^+OUbN+|j3KzOxaf+sqr1$T8lOo;zU7f?_921c}S&dDjGseSQ^g zt5Q*R)oY%!zK4y4&Dtf`=7P1l7*C3>Z!`XSMb|^NBxG;6nc^XWrDmA zTk*#mSj9|thn}q%pfkqeWd&$6w!9O6;hL)CPl4%_F%t?*$8AZZVY2Xh(sgpjv>+k5 z2wdmKkbvkcK^bzZ;d$M6b+xCnWxp@0vlww8mgu`>F>zjkUxleW(H%P3S=vOYRFO`d zeYT6gS{{{7;ouDVYgx;?&>FARaLd)RU9Yo(YoxsizXC(U+vT@F@#PNv^EUkBb(T)K z7mB#bqSSrp-|$~&Nx{VqLR=Nx85|kMM34`<714FKGth9S!{_BL-tR1&tklN47dwkf zezE9PyU%x4245L`aIv$r+MXK6bfwrmhKvf%gaa$JYGtPTJX?iSTlqbx_d8jBpZIq- zofH>n_ZfUuKQ%fKMR%;l#W>poC)o8+;g6B_etZt?9ia10ylIMVqc9i+MmP}S}gR)uI_zw-$oe4d^tcRZef^_;2bdHpG&QG3AGMj6H8ES+(WTf=AqaH z_-8g_-F(PLO&4j_MS;W&oJ_Het;giZ6JC26==>)#&AWvTmxVs%_T-=JW1^?*WTHRG z%jg`&wWROs=^uyw*-HQ1gnwpJ|As@JSC5LrLt{?q{#FqAPoVqN(fT{p%c5MC0*}S9 z-%}09F^3I$IqChR$`0BK9OP^x?o!%+5H!uS zua8$|9X>5$$yhil@(C6sWH`FeHYE`(_`P^}7yRx?Mm#&52e8(M;A@iNrjbU&o#6pt z3Rk0q6Q?7d+iEvb^QQ8VXa(>baBh#A?7Y!Wkw_J(6+p2EpnL*frOb&+#^0*Ui9A8# zGNuWV3x0{pfaD{dd%ne3#EgnfuLVY1Ew0jSwRp~$4Mo#$wk07u+8Y?G`A!n#ADp82 z(#4&gC&Wc@VqOqjbyo^IM;*&j?qsS9bPV5RP(N&}imadx=loC>RP2gN@4$a}@m(kj z7CZu3VyJ8Gp!lFMp9<<9uqBZhb^Ao=0k?^>NCL>U9OqVceL*QCfZ> zgm5DCzA?Bor_g@Rm>&hM&k7Pf-Qm3Nq~_zIC)_F8Eg_I7qSsVbJpZta~Lka|cZ%abbsG0tLGX^sc38ndHdbxx4Dd;{h7;}1JXuDIosq5qJxG&aY&eHYHJXMI+gHaZl z*yxb#;DxAz@7g&(^99mHs)LKstz6b+G>479Rk6a`1PSx5ZXFwLIfPSPQDG#eWOND` zt6!-)c=^3K({BJ(IFX-OWVSmR1vq;bNSCk2p)W(Q>cj|ABtJ93Z? zZE&&F%jnSUoP-rlrmPlFfD+sTU-X-WhKKuo3OK+$(IGmQNQ;4O7%MR=u>0fpN<^{> zl<5{vk`-rGvaBN73`NZgQRCR_(61RYuApDBB_Rg|pABff)81?0Dlxllp`!}NdFV)L zX0B_%fPR;;P+0+8hiw)iS2QK47bjv_H*`_msp?&0b`+T2VN0U_Fde>7N8tCP^z+6-WrqpJeuP}%WEjC!qBm*s(?4s>jsnxiY)SMTrmg5rQQ&b1J1`nP zPX45#nrOEs4Gx%c?W5i`tX}n?b2` z$~&hYGL)x{g~e%IGZBoT zNypo}8N<~!7BDMZTf{{nF%F~gGUDXOSh6i6)-cT9A-j9JL+y zB^R9TxFjxyE`wa+Ful?S8Ew4C#i_shFiHcL) z#hMPRLF3pE_31is#xjCq3~)w>&%}7eA%1RYc+L#*!i<7j! ztzfa(ltf@GjA!sC*J?yc?p;=Yr#AmVi^!BH#R#EBOws!`?T;#YKUHuFfB~ zSq3CLF1XWTK*H0-!=@EAae*%A9Y^bej(xAGVZVFgxw4~_I^^~{KdudKZPO;fj@9q{ znD)06bAG^-ga_e$g2b3tCu?z9hqt6)Fl-OeAqDnggzi62OkR{p(k3uEfQa?)J^6Ij zU+)-E;0o%S+G+`iVrgAeY_+ipS<8_N3w7jA3LbuVQnTpFMGHY$l1r({p4Dbhf&Lj& z64lTfQ~spj?bKgOma}aW4Q^bh~CDtjh>xm~x358XWUGN)2ex!Jq=?2wR zyKAX;xuyP9ZC%#37gETvO8pPUH_Oa;&D=NllGb_2H@+P>m1b0fQo2Si#qWU?eB)n2LQ;?`zJWKY=$mk@V_h8<1aw< zA7hYuv;_#_nVRk9f&E;guWjG?>4Ldo7w^dReuA|QPLu)QUspW z{;Hz+XG}?iuKA_s+A(r{fEERoMC2Y2VfCAjGJQE)`=g55XPA-* zUF|dW!3^mLP0h11CG}@67@M>O3R*B`!o8^Ah>np77d2`@I79pE3L@)FNra9_ooTsJ z#eK%$Ds2&hVlWj=iQ^1WYR+3AzFhmWit;ZtB@w#v7dgctU+jaM5Smh{9o)2Z)F&CB z8@0s@3eaM=kW}y~#`zY!N-2EsuuoJf; zynqVCecGQ^fVjt$MCd^5+MgYynMQ0_B&Vg=iGis|_^szr0U|1Tj^Hu$*K%q;QwS5>qxCd-_hh&H5I6|LI<8&c*uVpiRxSb=v57>>Lu&bi_=)KBFZqQal(1N!L z(J!SWmUPW7B(WSpuv+N}A`$XBxNEf;Q$Rl5ltkztZ(`3r+!Eo)V1^G;BkHq_GcjUH z-ib-#6wC;%QD2nY<1e7cLx>IF&Du%|Y5<$0Cm<=Mm6egMrIcb?zdFtdEm#+mHCCrD z(PmRIhyA7`LN|vFb92Dyn{1{~waIo2=&^CUOkXWfP-m1;4Vj{z) zBtkcl8WHt;y{;O+GlchQixd>XKoR#or2TmXl)p745jrS-FS9;8{68@i|DY{MP$-TS zjPgnCFDocKZb~9_6t;KlXxqI@G@5yYqC`gtQJ1^do*m02BCT|S z@nAn1(}dWh11H>eEVH$0abk>UGVZ_BR$Wlsw?$(~YalI}Qj#5gD@S$`C4@aDM5;SjTm3z&qddo`Hmwh9 z474CBK*Cf-b@xccYMM3|3RY80NraEp{*giUs8J186;}11W31Y>MGRU37e))jBW?3K zHdt-iY$#x@G9?i@So62%^H?=SG=m6s*Sb!mcJK0IRsS)D>SApHgF>|+YC9al!6kDj za7(Mjs!N*-1*yHJBtl1OSw|*P8HT8BAeq6@{cCuG5xKE|cKoOXdxa6aMqBWp2riGt zGFBz$Rwd`OdM`MaPmPUXOpv;h(m%6aVP6@FIm;NI#&>lmhFWrX)g#b*|G-iADOd z*+gU@o3PVWeUv)SFl1lR7A+`bbKU+)%p%?_!JCTDm$f-i@cE)CiO}&`Q4^oYHu!Zu zXh#wVS(vdS$wC!kf!|^bf2J*dPz+D0i6LCMWw3w^*TTfUl`N>B{zRK41=N2xB@sHP zCwFCg3kMOpQj8`uwv9PRYU>`JfpJIUa zX^R&WAf4#J+Ds@g?J^}1I!sH+hX*P<+KaevRb<;~r(uDC13qI@?*+wlGUo3`26=(O z8`2g!D0n9c-yY1hm9yd&b8KNlZ%S~i)PH$xUK9)mO-Y1~;j+3It`ZKqViCI#_oEo> z6~^%{ZNY=$7^#CJ`SFTb#IyqB`?Q%+fGnGm2p!0?;Z6<5wVT4OAif!Gyxc2VPJdNf>j5rTlg%$pi5ing$5@AmpbuIlxBH%j=$xasO7C38Jc|-ZS za%-xUzB?VeiVh?TRvKT;lv68l@5(Z>Q4MAb+%oU#|gl; zf&LU?n%kK+$Lm^~T*q=Yb+sk3@iuu9`$CEU-9}yl)~;Kf9308?lv8(s+652)xbXy^ z?4;=arImv8FRgq)$9qOldu@;A1+W$ai@kdeusr*REq(wNL18LTP%QdpNdJ;{tX-DPL&TpwJtt&W_NOWM77 z6zdlW_}s$=zyY|lL#si%6RIEgmzEH}!$x$Ywu*xq(WTguZ$U?}o>-b^_oa#~DYNCM z$m$^t;X&3AZ60I|i9TWV)9S$BdTk+;%JW)N5}}*g>^-@@SSEQ5Ri$KdWNm&UsrdxM z`+&AsLE)Vf&ANOEm<3--EpVSU0}3?vn34z`n&lnN_M%u%wpftuUB)ivP%C8Y!oh6r zK)z~GAmBR;-`BN84+lteY2I!&MC!gD^y zy(I$@9v2}w(rNCH9&{W(gq4kdN%@s6H1D7L_{PWD6{+XrNhCwXRsC&8T7)^G!*FZWhZcY{A*Juqr~Q z4`VrwkQqx3R1G`>zQZt|qb+*S61^NpncWV(!@E_%x+PebV0a6OTeUe-@Z4fbB6K`k z1K}CjvBTf@3jP|S+N-UAps2P6Le)wp)q)z=W=a9}Ev6(w2X@MKIi>Cg&b!UP+^Q`= zP+%HxHjXFtRn6a`{Z&QtZ#N|oy5?KYqX8be!g78{ObT)9DDTA5eRfZ-YB&@8HAe1} z+6oAY+{$PlOW?GLEP-hB_<&WgpTayefGf|Jep!iO0G|PlLe8+ zX2iIifTO`k3@|&eOBIoqD0Q#taZzIYzpbsNp!jb=l`7>F;liYxwD*+dL}&s8U-z3r z{hg`LX)~&r#6Oyn2;C%h9EVA)!iGl}O~Nk3lGV-*$B-_Y%gfp-3~DYrj>lXuvznv5 zc&q}YI{BS8*NW}@)|5o(wsV$jD0q_VIBS&SCB{~=@XW9VSzDb(MMygq^~yYLUKQJz zV@l%xN830{TUkMCkO|RbVvX8M+^qdU1>lXQBti#x!Jfea9Y}HJw+Can*Z_iRS4S2+ z%5z*~d$dIi3d_Q%JcmN7UbLi9!J|@BcWbkufOUl_iO|71bq`h`cyX5;e^OOlZ{5p3 z+|qfG;XJIZgrIPq79|XY6v7cGq(Jycv3jR0O{siwo9LPym?yb3!9M|tE0jod5J!n0SUiDku#D$Tdv zp!qH%{7r3D1Vwl?wvGB^5rc70mSa}W&uX)#0R4<9iT{2;zo@N>pg>bss9mjnU(o)b z0^hGqNrVpH$}VzgAw7YKU3|l$s1CuoHdDMAxg4N$7C=Q!Tgb)W9s$$Zc^lh#2K|6)yvMNKsI7vau$~%?2^lP# zWIzSW$L2*%>&SpOx$v(ysDgXFHd_j~*P4(j@{^|zx!!a_bpPFi*mO-`8 zSuPDqvZrTI{8AVOMcw)u?(%#gJ+0(NimMJU?+Mrs{`KH2q7PQ@z#IY>sy?tLeLHtAaLmqefJdVj! z9E$RO_)?u8g7uGXWUP+6e{`#A!h5E4ttp9P znUZHHAz9F)V`M>3m};Pw1^u{vrL-W)o}LBqOJP~iM%98oYbv~FL7y=t5uye0AE$>XKlwuauG%wG1$Avp{Dj{1ablMq536jlSaKscT$)=2{exuEzGD!cWDT&YxUD)J`$gy5aL5||uj#;~g7SK8&J>i}O-Y1~a>Mpv zI~PyljIqCfRorKMuFw`CC_YoM>)qi&QT}DxpH-B9u_=krmEZ0tKe7f9*lgY!T^x)I z#d67PF)tm3MC{B^55JAJ*nmv531(NrY|@r@I!h z78L=tR%{0prIDIgYHOY5sz!UO|2kv;jJ868Vt=}a{aQ;jzl=CFyVTN(CRg?(>NLAg zX)~t){uNUa)qv{^=Oh>2`SIVcp}wgB36F~x1qp-sTH*o|#(O7V{pb^QW_wcgT%H&^ zRqDJ1?rI`y*KdLg^6Wsx61Z|U8s5nFB@=z@Sa%nEognX?IQ6x4slRody`1<)e`o)0 z`~t5&_weOjzTD532gIee*^*XDQ)8KUe>RuFPU3R^QVHG{@fH`6zf_sfvA-ore9k5D zsvuEU{jFoK|CxK!G3?!=?FZyI2uS!;S*r0nOB)GGvn9B?C7#5vmUyzjlcMZ5Xn$T& z_Ci6TuCnXuI;B0u#S;|sotV^a)I#1kxyi5b`j4^VJG3PaXws$mIBLWp+p9QK)qj>Y z6N>sbo09mnTU<7plK8kwf{nndaRV1xkBfPNi!nEs{m11ZVijCN4cdrP)JxTBnjA?` zS@N4&IGWapk})7cpOT=9~7wt0VA>l7O6!3X271{S_bEP1An<2SN=+BpDDPwoQg<9#Gxdyyp=5E;nvBin*HEtyvHTy z&)O;o3f`%rWhWV=W7C9tuquJThHS4sOeyLO*=g%QMM2 zyJlp>dJi#dCvOdFs538`CGMQl#vXSHMoYALP%v6#N+NWO=DE>M&ZqDjD2UiFnM)4) zi(B2N7^Usn;sq^S^S$UN{mdWs4G8`en9k8=LV;^W3aQUIgI5#w zYJX6HFK$XAboiD!y=zo6_E0Q?^%|_iqW-~P$l2)T8=MAtfy>@IwS^7}RMhQ{J6yXS zk36oGVtA`IKMIbwn34z`$3VyOeLx0!gOU8Sw%9?D)H=xT70FL(Go(QIkSU4Kq0~5# z?*mlhJ%;r=+A0VNtHD8j58Q8Sv!#IhoGFRW!PVPt?!#B_RfhPF+KLDYvDr>_59OD& zIa5&nohgaXQ5Fl;@hpXr!_gn%U*%x3&=2p?9DEG7uan8G5Y4f{^=2_YtDQIpsB@sHB@Y9|s#%bR=^>`^rGexrN#pDhm zi6G<+lD$YIvIG7gC__p6pdaMpqQuzS+G+}l{buZ|V>yLmW|otV?@2i+DdqG9Oc7!# z<-13lPsJj-O-Y1q5iNVMKZ_jUW6A+$K_?x=Nh@DVT<;;q@rbr?L2;ZHg_}8#JNJZ` zT51n#^PpgKlPQVNF?vI%+*K6A;e!!6=-0)kP7tpOkyCw89phO>>=W9e21RU1)Y$J#FRwnz|GoC0TFyQ>_@BC0}Ro(w1o-^5h6=di~>JbN~QNr z?e8nNJZnlKbX-pE%wa2|ohhV8Xihv4$;V-?sQw(|tvYZS;CV*v_u3){MQv#m4VL7Y zX37&NSAu7EQ(s=K6<^e5M*;B#Qxc(rc#<=dhfWI}&V$450X#@xv#h`$eiSyO##NHNZ8Y1v?fRIrl>GfN#(q>aJhRaP! zgl-Hw)P9SzR}8zx5D?i)Byr+B4=?nH3n%vq;RlQ9VohtgXVJ z#&Uj*UXrsVEpJt+!1+NKR2+bpZq`i>!yr5D@{XSIHpA zh)Ym4_jj}h8QhO)3mFvLg%s3YaA|SaY>td9m{dyo1KMmTaNTE0B6PSKMM)Q`K*i{< z%By~3P`;rpN>EUmxWu`#Pn(hm9f+o`LNcA^qN5;D{Uby1U)sV1g`zo% zb~2sjB0}6KSUj)&Z3T;8nUV+{i_S~>agH;Q#e`@agG6i^!_crbU+lrOHyk<3*;BDs zZYY*6+WD2daSr=o`fdD4qDPw^+3GJ%V?~s)pL;oaU7 zyvC65me_FTmt8fOS=tOM2GeXxB6Ne9+gZ#3`W$v_Ws-x%n!D@jJi~CFsV!R2qTGTB zIl&voHkG_7C3=H43kpDMO-Y0fP}3#3*x(?QTzGG(4hT^FBSUhfwlF~FraPemCZ!1__VoD-(EKc90cp9Mv<5dw6-YRYn79#za8R7Z3WG-LTZ`6OC@w`D> zAwlsxJqlhi6OWVbSVhA+N>+yI5HYSuAj=WR5*K3A`DF)54!=s>d9OAz3Va_j zB@sG&E$3HY#)Ev-=V!f#7_6^p3l|iumZ%RQG{Qc2pk9^w585m!5It#1B6Nsacf;du zE{VAq+RU0poH2^tzQ4bi%O_$Zt0Eo6z9RgQtgSld7yLDb@i*EE2nu5>Hfyj1Vq>e6 z06k5Xz={b0EC`^Ky>_V&LSV8a_ZEh3<51Nt)9l?d_=x=W>+mp5js`gwQ?LkKE!`eayMQu@y5goRn zF_#KncWd*Z;PnAh5~1VO(wQ7~W;`7;Ru+BhJ;XRYr7c`goaP}+192y&BrCa7F#3u% z4+=(KHYE`{Msv@J<&$xEtHzFdbPCa{igaCkuD`EP=NU%mKea^*icm|mhj^o-qW#pV z18-J-D53Toex}WW0?!(up&N@PY`uI?{dcAztVo@FR7shZ(ZQ zbHnPGFX1L@D1oyNy$-Wh%w<+7TT``JQJ|Y_N+NXVW^9jVGueR=90R$gMzK@g(~Iw*@S%;Mme*i1ncU1VD<9k0C(cGM>ss1a>3g95cUngO43(+Aoi z3oErApGwU(q|Jx|S>BXH=#Z`O=9a|4A6b~#;R^=3SjDChRaLh<@LLS!2eriy3Zy+=pZ$o? z@wpiG#Eu|l7kt2DN_(XrUPBs;cf2`$ljeM>P0xhiGbHo}|s7 z0{?hZ5~0Jt(Dl!>ElcsT5Szp)(SD4N_8MJPKRBn&7p$+PE!)0qkr;I(5}@p3h+GRTGSRfD6UH}igYR#(TlCbv0ncv zr_GK6V%C&I=pe4HEThgLXfZ%J7YmVnnYKPnc;oEwladk+Xi^maw&ku z+ySJqdRdyf)%D+K^QK^Zhbf8Bv0hkFU>VMc9LZEw%13*UG5nIYkU=qAR9Qs1NIGYK zYE-aa(B?zI>vN_gLdR=XW!bD%{%SqI`22^qP(ksT?JHvpklO9}k@oi$T>h6SiO_Lb zqT&(}zL@sXapS78bgYLNuZf*ujXO@NftMxxE)6obQt{qCzH!>TDA>LB|15SJj*gvZ z`Dh;DsD~^~i7?hHwe=gcY@TrptVK&ma}CElKzWKbkBSXMO-Y1ae%tri2eB&XthraT ziYO6n*xsqyh=2HLLV&T~t*w-x*ssOTF)3B80ZTUL8?)4_w=dA~>Qxc)$J_j3P zM6_v9SyL%j*6?dT!q{D{Em%y?+Micoxy_VBh_JMBh}Xsr%;fYYG35$Z zJ`sOKSoIsD@u-j`HD}5RC#<}od|kOU)jAQ8hL>E?lT9b`BLld+_0sG7xvTbIBMV5wp(0n z;SP-QiEO-W7oP&4b=iCyMIv3hesywiB-2w)-34kFEG=%7VU$@VIuTie8fa@2Z5GZv z33x0|!`84rQ^Tp|XHE6x1v>kTDTxrxmJMiOMO^KUuC6`x;%b+U_8{BUueF5?3f`h< zj-r2yZW-dX=Cc*&+th02KehQ#s+pgek_a8IRuMJJ>5|E)=w2-J$o8v?wbsgmzs6Y3 zI4`VmRx3x=f&`-b#lTh^S9Alrs=zjCGo=7K)s#f&z%IcW0UtYYz~z#Oa}LFHp?a`< zjE5P-b=txPEs!VCyuZt>4@l-#D&89`uhHg3!EUuFiO{i|BV3obDydZfYd^v`U8*fu zP@LwnBa>>*6m%}q=0HJbpDBsZ(W$EYc2NUT(aZ&`GLP~aqj;^h0)nDgRb^JUfYwo} z%n@y-6kvx;NmK)?)2)+Se0&mmobBl7re57b4Uz!~kBdJD60y`;(4*e=-5`#B^gVpJ zmoNA8xb+|=9XvLtmqU1p{Z(WNPM z16>+YH`1j!brW4?q~1=KNvWIZGBtIWF0)g&@Nc7ZX-*yC%dK>on|cRb#-&PhnV5Pf zT_&X7MVG0m+vw7ex}7fLQt#%Q@1e`2)E#`YOqUB%d+D;XSZX36@^+j(Q41MLQ{e!z zkffd9BHzDs=ZQC$Q?WL@apKMs50_In$>h!xZz-of>SV?t^9?669+?-N%mifSozAcC zoQTX8Co>6|n3I`|%wZ=p<(6`>GzkNI?C&Pcf{StB;sX}Qj1ycu&dG6L=%<_nIO3F7`GPKI6{L5^#u;R_Q5ySox1NHxCJV9&P7>L}GAZQw z9B1eo|H?`F#)&J$i=>`YI7#Z+$w^YrfJ_P+cXNhx^|(xm`#*Iuq^p)zL6R(BGbhOc z-oi<;fSWl<7Vsb^$pW6^B-!qN$)upYVx=JGGvxJB^eGViL!_lCLi8tOQoQ#wCqq2V zTO=MLrEK9O=^@5R(!*g+k{%x7B znG_s-!O0Luzv2viyYUTz3RfBJPKF+ebB4IOStbRg2b~N(^qi9++kDB%kZmqsA_$Wt z=gFjaJ?&)Z^$&7}u>P`4(nFrWXGnpkLf~a5f#Osl@D5Irz!^@Gz_-h!_|6lYAsK%n zlj8oIh@e7ZZIDTE|8gfod>wK!B-W=nLz4UpCyC!zIZ5UiIa!b-qub6&7@a4>Mk&KI z$Z$9PK26B*BqvFRUvQFSn7ULvz^zQ1lOdk=I~n5XX3mgw4|0+OdXAIC=}Vj>PFtda zBuXe=-0WnCf+67Dii64!6zByoL@ObY&5}^Oi zq=(LMGW6vuoD3C;8=MSP*bg`v>Z?5KWT>z5TPK6QN^0(ONxA`IY~9-4>?ISuCk-VCdv&c?dRXbguW~ln>^gy#v^$VONh0bXfcS*K0IZ3iz#YvLwkW31V zf0{F*RC1C8{ew)3M^?@d1WD?hGAZs4IvE1%!<->~JSmgnp_e#A%2_Z|(1CI)ufmmu6rbP(Xm4?qmj)3buXWrWjRRiJ{T0t1#p$ z(VutGpO4a?2kFm~^yex1^ECbW8vS{e{(OV}{EYtmg8rOn;m>&bvzY!Yp+6D&vy}cU zqd#w?KU?Wf2mRTGKX$$}qc@qh^WBAPch2r9CesP32?Rg4;Yy>P+XZ7@jyUvk#HyDg zp1m9~@8w7eFGu2dIg-oEk$_%~B=vG6vX>*-y&NgQ%aJy`9I3_2k$$`!Day-{#=IP< z&dZSwy&Ngi%aK;S9I4mM6-$kM>1+?QEKDF@zO7uE$+lr9D(^~-m!={NQ!I&1JB1kG zQ93a$F4J<^Y@wT%s?ZPuoYJH&v2azsqb%37X!L$zX?i}{gP~ntM^ARhE_?ZN>~!`Z z@)MH@462cs29FeQsKI^N3rmx+ew2v~;1#h{bYZDEnMdHLif4|L8oIIcluqRAO!>-k zsj)kj$!4~BcZxlw$=RM1)}Vxm?*o@RPv8n8(`Qo{HIisDnjXp`lX4!J5>K*!BYHyK zMa3y^ic-|*UZTIH1|j^O+@3)w zps8Tv#25}W?1dKKi2}NE?sVk(kWalVUVTOUrS-E5Q-47ENa~OHi}{RK#RXDNB*pmz zng|H(;Yw*HS5IYt08M4!LQ@&I&{PI4G?jr1O=aLhQyI9>R0b|Im4ORQW#B?n8Mx3? z1}-#}feTG#;6hUwxX@GvE;N;a3l(ZyXet92n##b1rZRA$sSI3bDgzgq%D{!DGOna* zZCr}PYfb$bBBM&1Jb*p+s6BAc#c;v^j{8?W)Yu=(cY8Bt^g2!9j0&+wh18=$=usi_ zs1SKnNIWV89u@MA3UNn;w4*}UQ6cN75Oq{YIw}Mm6>^RWF^>o-M}?3_gp8v?#3Mq& zBSOGYA>U}x6=B@qNQD5Y^*cyd_t){{meNy#cRybcb!TZB&e8PI5Rnd0;zg;fN$FUR zofi5lP3f~UY#ONxK)ruysWCr@<=o-b=`4<=+Nd46_rsTb9(D;bdvn?05tQ)O)J{BI zYVJTj-~J}D3HnDKsev2n8=$!T5U zp~&7?pIwt;tb(GC$!eBMv-ge^`r&NS$0T)ir&2BDK_K)lm5=88QhXqFnP3q);#D$? zTp#87&A8xLzW2zm1DIE>z5Mp<<2; z6?0sunBzjl92Y9)xKJ_2g^D>YRLpUqVvY+Hb6lvH<3hz87b@nsP%+1a$~W4X%DG0| zr6P^HlXzPI8X}hHyseMEpZ?v2Qa&j;03h<^(llw5MR){92c{D}1*+mM$|SEoHyJN* zn{!(k^?f2Ox)G>Gpr=yfxd?KT&c+h-MxGxl&4R;=KALRo7Ua8&xg;s7fhyZ>+0d1y zp;qsPkAs3eOogm8ZD1r{pd08*fdi3)tA6Z-SWWF?xzw~ffqEPHZTyT=>zAgWc}mzh z998R|Q)-6OrGac_AeKAO4J#NaA1Td*C~)f2jSq1&i+s6%PiaD zv^2BwZhkNpx67mcM-vbY&E05eHb0uk7KwN=gErX4*P4oh5Yg@?>Z#Z;9&DD$ZnVC6 z92o@8Cqi{iiDX{zl^=nxkYS9j#^dg^VlLgChiOs!(tmNOx!;bV(DtF}jrV7B)M(9g zZspU(zHW-aftwBeg@JVU0K5ib3`vA$_o4$q=is^aV82f-r=Cad3=Sb=){4HG`4qK;7zNj*)N9doO-n`C23SqT12NSHml}T`KunwtUvBUwiHJ*Ojk!$rn}EKE9@XW9##huf-dl zyY|82?XN3eYb9UQe)#yB{+9IjsZMToDd0k&=k!(%=_N<$3Kc`xjP*uD^vPFFfKU<$_{3m8>>x=u|^v6%m zI`n#K>kP>j^=*7?&ENRwKTEd$(tZEWA1YR}1uLeWkpHC*KOU7Yy?nz%>rZQ{MjkIw zzsdK~f~)>`i^OGOX3hK`|Hs+26<~)_A6G6YNnKEv&d1@Rv(K9*Ib6K?tjE6j+C8;7 zykd+wbSJ>7_4iPJijnLsh!QOEh5izx2h@ujEUA z{?_+;R&B5GCF*_qUV6jfYi{P3&YqN7@YVL4AFuk7RNkdyt3031Xm}5%N)x^Q)WpL} zo*t;|Pc_WE?6H?F-QxDA`eT({sZop?7AT!HOcT)*Pl7tj_>nv0-GjL#xxO302U`)C z!|~PAHk3)MP8A17(AQkeT|kRsa-WvUXVK4ZseCjQ8;a%Qx#VC$j30&zqVI*NC^52V z%MbOPHavh4O9STz5yhx9mD8y~8<|ELU$oJ1Ac2tzeiV6{1R8cSm=ePH0w0)zksNhO zF)R?h*8+9V#RQ(%<;6p!Zg=1}xAHD|OUV?nIhs!>Evo#5#!(534=R42g>!G1An1m)C2xZH;X8j3wCyEH8{Sk}QulG_p-%o8eCPo#}4%bhmq% z(bzbFgn%5HEpAA7>>o(#zI9KZbN;7JojP@@>eVaWcJo!suA=|in;W%4v2tj28Y7ca^h+bdKDkDxy|Piy392u# zrV1jtYGt}O(`m2w#S1>KJi-q`dDc|tyn4Nu_ZmXH)n&Ib({g7#$he`lFhlxiOg5Se zWsg`By6UtC3eDN_WV7JS;@d&~c5VYMaxE8>d+)HXI@`JUrZKZz#L13bkuBo58!AE6|wukz%Fk)u-JYetcD~>^2(393-78 zR`OoG(3+ZT)ytjs)pa(9ldG0p ze!sB0)m~R~n}x|{brR?_I)&Zs4RxphG&XRP#-Q< zQ^QZ%8X@*C4%0uOQ{{)I>Mm3P?a#UmFb3R*Q2O5ZpK7KF|rsO;@4z zI?>-$sLpzmH5kWau>!T^I+xnpS`BYfWmW(NRc@sR=pIdefq}&LgY= z(W=$zUZXKN&t0w2c@iSbE;O3xTeEHv2IvNMTWpdw-#%Kam5b2NnA>!nQBr0DHt1IJ zj^Ayapx;9IZmU_SLaSR(RqIW!;yhHs--YbMqQiH{a%v0p;!FW1z5KwP2lnGDAyc_J zQ|+`@(_h223Jh?QcQIFPDG@3AeKK_S=VxwS~&mWUk=lF4U^9aX5oD!($VZ z6Rt6G_y_CN+MBwsC;-TEwg7Cs*hE~_|)8d;B_cEo+PV)Dc zh&Kg&a#x-9gweQx(Pm`c^DZ2`dt`W+{udpd0PyevJW{K@qTw}LV(5$Ey2bbZ&FT!i zlHbw8QGxnJ@ZBnbUZ3czEqeg6x!QVjZHSZG6Dl~F&`b~2m731H$Pjg z6sa!^=j+v4zB*sQw@r6uvVb8QZW#9J&qWrBMt&U7F&j)RD%~_krO|pGqk{2CI5omec)9l4Gj+HQFF#hyH6hjBb8t}0hwE@(?M)b*n)Q|l z{qh|8Tr)hIhwr0Kk)=+tl1G3};T^5^dLH#Ar>o>5MQFCF!M_9FIl=#OZiPTAF*qWe z1fgTanPKtOiYEDADD^!3ExsDaRr6kUs$9)MF9RpxQQ@%ZNlWn|h-~23U3k$Q3H@!@ ztrhVr6KHe_ZNdn01&2p8YOFvntXDgQ_qJD$RdX#7OpA7f_rq7?>s9Bgx$_8{`RyV8 za`iDlZ~}f<7y>!>d<*Pz4tA!D0ppvdkZbN8MhdRB67|mlgu`cP$*ej|vKs9@!+?r}^<6@^R1!0+hJHh~6N8iyIu&8w9v6Iw*E$tARif-@sq#H>Gx(FNHq+I5)Os(c(H6Gf*X+eNz*lbH`6 zBfOrhV@lg8{5bwK>or{r`R#QgI0<5a_NvlUR>aG#srCRT18C^&6yD$7Nb{(Yd+{J* zDv|iX+pA>arM;6q& zS+ecV5Wde2KNCEA_8EjR&vwFhof!|4?2Ao*wmRK<`ssy9WH>4f=o|vk%ypIDhNLdN z8WI=YAHKhu===5%d|7yF;cdacF{={k70fRY3(|DGy{6Ti&b~O?D9(gz(EKKRV_n{x zb}`L|X(Aqzn%GGhm}w;Fh%ZdC>PQkIRRB~kh3{^nHnUZVxDcS%Jw$jgorLg+$hgz@1YskU#jIrfMPJn+wRglqvHPsvWlPa~{go9+b^w zzX%AnH&7OUY`Z~enS#hHydpl2o-J02h{tEVgCnp~qvhd2y(q?SN7wC~4A$IVrq^M+v$oJ0YC`%yT9^Oz5gJimixm(SM`gZWa~* zHv)|}Cz0luQSDuq0c|&*YEdkw(AcbeJ?V0c+`i_i zF;8N#Rc+#@wAi<=3H+S!l~mAmt+|GdrCB?38X$MO-ajZ(%8bzYhjamMuriJe|FvmigNmH20Kmea7ov zm=y_MVD7N`f$r*OOoC^HHx$~T6s+kW4;^pn>kX+Gzl&TG5NWe$^aNQ(X~?W-%H3e_ zhvoeO%prV-nSvjhgug&1SGv+xp^jO^H{#Lcd@)a5QohTwiU9^WWlE$JE11#aCjyMQ zg;=kkr5P|4JlQ0OW6dmAFN)Qz7#92-p%~m8lAqOj?D?R0f4+{)US)UD7@ur)|8lO$ImuyAUgPK6*-6BJ2|* z0M;%2z$-MYZQ>awE6vGP4PlOlm{Y{&L8#B!*#=w~);np`iM@&lRHV+aHYP#k{Iw(&xJqA&&a+fIrLWq zK24mWJdmpo(&C{v@x22P*Pk(6!GoOGNyUV| zYd(nec=tBtUHXpZ=y3ckF|EUTuUkiO#Y^lrC`}PL zV6uq?)^O#7gxRXJ;E}B{H$xA$C=cXX(jYAkg;O5~Q9GuhN=sf}5RpU~y;J-Rn0_zorzZ{0uml0?VjXXYl`yCIy;+AKg9oqY< z$Derei6@>Mnc3&;dE$v%Zrii>kTWvk+;W>U>tRMKa`p2C%ql6BNC|(R*ub*`188>y zVeu3uQOXRWemQ*mbM?v!XvCL;3oz7S5W=)n_E&R;wdg!s+Mo+kYix@)Xgg=JEUeGml7^)A+&`<-dG-0=1}WPL<|Tb(4+!$YhZ z;TanpKat;(VvdrrMH`cq(XR(ab_6yCO1pRObI7X3s<|;*jT2uHr~=hFv=Q^0+M)2X zK<5xYhYrW8&O8=bs6xSkzz+Qmq?12{XTCLaQh4`6N6#J2hUuc+4~CSXN8*{d1RFQs zoW!!)_#x(7v{hvYdCMV1)%1J`Xzc>#OLbPTdGZE6%2WvgOBS39^2KRqC_o~xZ?|CglODW_G;8wYG}UE z^evH;Np|u0lM+3a{8+Vxk`~{{mZL%>czey%BB%1`i zh%iP!7;exgHMHl6%AUQdriG1x3Q-*vABNZrS(BtZ0*RZw>Q#=)IDhn6Rf*DDQSq7P zFeMy@=%*xgY8w%0xYlYEhLqQ%ZHb#`cf9R3^~d6T5PfzRCkZ5`F2s5Kz>`tZn%U61 z^q=;=F2b|I@VL1X(UPxQuaa*(hUH5kK7pdThrP~iAZHHOq4 z=)W0&5P6fh0bbIUZkC_IhQ84BD>o;&z_>aWQH4S+<{g2Okb-hgLwlY3@4w&Kv&WRW z;2NV8Nd}L2Vj3fkAlu-jVH$(ja^NcAeWpe4!?zWug!M?$v4e>oN_^Zhzb8lqDh|8V za0A75Lvzmk4>K3v1P2xrKeO{f~X2HSOW<#894H!g41-US_^{G_SM6V zB;g0gT&f!8cw|uP2d?~F$tDK@F|**8x*~5;7r~uKV)=!Rw2+YZGZRq18hN9tC=~g6 zF*l&n4Ne&xO)UZWoKv0*&H#6#!`R5YLuF43)tKc z{Ggw0p-kY_PYfZ0_Qc+fGBFIA<%<|Luu#M89;bFsD(ymY7 zwc%4aL2bHNSAeA=pB^Ocb_C7D6gXH3sv)0bFPdcYZPaSpcJ9=vL#L1VAj*Xo= zIx+D;CuCupeA{1(!b1Bj=CCJ6Pal6|^f+EUdGe*@B2`7p*9!T<9NB5<^`xCkqyo~x z05AKAT2?>d&flOI9=0YX&wj@II(`5*$3==R)Z`-OtVmmnAKArk zHmkL=H|HU1#YIl=Jjlfp7hAbOe9|tS`8363lGAxtSE`)D-@>nnN0bLZavh06@fOO= zVa1bJ9TWwym`I}P5^*FIp>$sUJrG|wJ@WOpQV|d;VK6fYS~yr_g6kC10nQ9$mGZ)@ zpzYimQgEJt#QxII<0oNCm3_xi_j2LMXId0Bi$Zp)p(jucjI=!!fIbt_Cas`EHCRr(pKN_!^eG$&rFOzECB<7&?32F&Wp)|@ z!0im6lIaOD&h)tO`U0DlZvvbvo3eaU-2JEJ+!ZW#mya8ynnrH zR!1kp(1qep&dl?bX2=J6qPafItP}p~j?GhTCiTy4e{#%+;$Xiwzg$1Kf!|YU5e6 zBl>$1CNawO+LHgG#hm4$pN_KHef8Q(iR;!6-TlhCE_W{03GzwdgEp zG;opfrHB@r>VoIS9CpD>VoQZsae?V8Bk5*Zn1IXc@^};No1hHz1#bbpAkWK_tC01b zskkJi_*Zor(qJVYyK`1ilu$;lwY`Q?a0umLVeQqla7>9Ysz2xD5K2qcQQoqyiQPAD zeo|D7AbJTz*^u+AJs{5H+(BjeYG+QY$WLOWJ#Z9$8>y`wxmt~rzWSnk@C$>YO*h4C zrKguy4H_W&Y|Vi8>IJOKJy+OGWAPSxlOG6sqrGs!vt5)JtWBbEfrhjvCy@vx9Nq!qI8yW6ay@q=PVg{u1g{g*( zlGj$mG*u9xu{M~>Dl?#`5Y$kYi7*n*c{cfvMRk@ayppf3^Ph>R2)(0H#jZj*!P}}n zPMGBt<_j0Y-x-W-b3vgJy21J*l)|T^19=Zgc)QkCY;;jypp7r`g=-@((E1d)OwB)7@j zu0Qn`mM1CFhM{0=piM*Jzp;rZ{5Lihh5!EM&_!a~QShz0VU2zBRN$EhX@4QIP*tkF zqm3nE)if9@*5fIs4rnAqK?Hx0qxWXn02)RX3tbkguEG1Xh0cG!R&HTfj8$uFmCwaE zj}a8Pi1r$>0S2o=#gG*3po);4^)NlgGAqr^B2^w@nVlvw*t+f3F97^9g1zwFZu=1n zXTl~s1c^M&to*?kTYzcTm>g)CirRz=6=e&ZNFFIZs8=@Gsr*j9irOIBzD1#@ViHUuKb55yA5YK<1T0*~_O6%a(ET-qwu=M@Pzi`UgXpb-mY;qX|l ziE^;E?3qq`*|SPywM`Hb0~xKYPh#wAHNDRGuLta46JGewQ{g`;QbTb?kTRl$<+W~k z-d$)Q{&A7w!B&QFpWeD*(RiQO{f3?8!4u$$ZF#6=M#M&&8T}Xh-FBV!wqZ_UV#A!+ zw#T1jrjs@m2Hul43Wj_hlZL$o4i2+5uKUE6ts13Cl)kt_eJ-}B@(c{qJ3oL^8wAs` z)BNlP^_g!2puaOXYBmixP6!*{SF*Wdp~*umw_Akl#^jxwMj;)Ul5-x(4P zUkDN=wD}+LF*p7(;s*w;ijxVFtcSEI3mnq=q9y z#+QfXL&4WvuY>lxV!vK;=UmPv5F7s9=kS-v|I_!|VsCNy*crb@`+eGgiWlN+VV^s` zE;PoM6}FDQxYge3PjSfi!<@Nz3NCMR~iE+BUu0EYpXxtXipbC08D^!%! zhl^fwnknI+78=Ef61^9pv_Uv{xdv7GF^s_N4d{(x>N9zff-6!SWlJzxMZX;kvQros zrfEs%0-6pKT{|}c+FAY9z z`}F_(Qt9E~)Ar79|48Y+;M0!j$A6^svhdR{{J|Sbr-DyAkLQO<4~CyU@ZQa(L&2wA z&-}yb(wX4Xb*KOS(bD1Y)7$>}?$U|y)1UtIXzAYY(`S#prF1;_bp6=5HO-}%rVmyU#=KJnI1lpYE{ee#vZN~6K28{YlC-z=RDKHd0j7r%&eW>5@GOLmnU z?IY*Hd2}#%%xlR1Jdb_L=kT?^9*>gmSA$~d+wq5ZupWzllyBnD zrSoPqrD%*S-EaCDG;J^U>C-zy0%YpGYba{MMrzEU=;I2`2AulUTd`GLL{S*)VMO`5BwOHX*;u5rxuc!=xj7ji*3R5 z3{GYDvxvyZ)S-mZTm8SE$KR()+e#h$J$~H_L8D( zu6kj02a44+CCm=664t*!EP+B)O$oo}D`CS6LC+kZ4M{_5~I! z(L793!X`gh8hn9R0!=@4C15`%z8}B-1)>C+b!$p+uVE!De}O20k`0;?_PxNAKsgpo z317SVg=GnpTEZ$#B%Sbu<*b91t%gW8X-fKU{se373#7YHjxDC7@jquBErX6I>89!E z_xurd(+fmLlxvLX=+tYMv68Nak|_HafByZ-bIM0*O8l-nm;lxSUJ&y)O2cYOaBpHI z481Uv&}y#~%M&uuFBUSWYN|0zn`x1AULjf_>+GL_zozca`#Z|9@fb^NIKm!z(R*LJNU!u#|mBs#lKeL_z?MlDi5)ABigJ9OHT2|_%&{;y$T2EQrk}HpTuv8 zbZ_aO@oyGXFo}|!ui_iX_BH&~zD-;WfVD1cqB@3yh@4~9I*uIAJEw7;Hnwz~_L@kT zUx>@$)PAuT}il8vbi7|FvHHHI9|H(nkC_Q=_1WYPge3EQvmW#Ay?uV_p-xTAXvZ{-4f5$nTWnQO#fem|tbL`0?J8RtQ zoWUXs9mzl-(t)*6c#Pg;$?mt7Y%nGnrAil(?Amj592uXTi*o5|S6^|thRpX#Yrb(j zd!*k`c5@NFH!EiVpW@?cql!;zz(qL)dYc1{Cn6#ARTSVH8 zeoPdMRZ%&#r_A98tvOsDIiU_ z!faHg9?)Yge8gG{t72N94BR4GxaCNARJs_5AF1Fr9j`uz)5P=P3FJ{h)4js7e9Bsu zbun2ek+z5|gGYmN&~g5PcfmP$SCsLD=gj5jjJb@CaFpLNva@#3rnBHmObaJ zs4Bv2PV82TMHg2@iRE3l(srJ6b7{>- zWxCE-rf6@WB;F#D+;`O9mQR?W6ne^?!jUDovEh8d!B4D5Ah$NO`<2He^I)N^ZiuzSx-8C_0oqT!h0ll;hzl z?ua{3zGq&JT_G=&sa%AYQM#4_p8j6v1l>R5-{(QbPVp7r3A4`$CPJ*!vvlYl*$uX! zAcqu@p$GI>_VZULJ0&O=k^LCUezzZz;{qbF9of+`Z={a2bM0OcWi3oynHE|&ex!;G zt8{#=%u2Znj1ETD>L^E(va$KSrt|&Jy z(X3FE8kcBpCCZFTG&c|>#wCiIMR{?F;!{ytT%s6FlogjK!Vx9KC5j?MIdO@`Y*9*F zqVZ0w?38FE5GBMV@}FWQqeOm1ln$4u*NVh_iTaEv87`3piE`nR&?1h@R%^03-MV(F zRW5sc)=`+GjpZ&yUUm(ghBS#2fas>Bq!i~6b}NZ3MYwn@?WrG$Xk#leZS zLYJ4BnKfahe79yIjhc}8Rl8v68)W$+8~QqEz${Bhb37+ZSip;{ zjPDgBxcWpP=G zxUN`5?rI&mUo&P&L+&H2_ND71dq$DEqT_RL-~dkJ!^X*a6;jjSNV_8tZt*p+QFKzj z#aR8Vv0~C}_tAc*_djB0X(9p|5Q)W=Ml;tu2W-T%N(o zq|ZeYIJ0KC$6Jt)T=d>o5AoXWtrJB$*GC-a#D^gVS0M_JaCRqU5TdRjZlht>=)^WS*>a{n<5r4Ki@aE?E=Itpbtkr9 zY@RWeH!U_>GuX@P^Oc1eijhtAkcn~RMPq(6581LMA$?QbmW1?>Yy~Dp?+YTi=)H$z z2YIuWRoLfXS2k9(!n5ksZro1Mo{i~!#%fDzOgCrr9xhnUhAbl{jEFv0mA1~%x>2>!Cebc7o~i!3TM)P(%RCN4DyLM@3@#fkPVqp zttTna{wPE;n`UeF^Xs-Gq(}G_L89j)$lb?^;@}6&o5GqgO4n0fp3Xk6qn-h^1J3DI zjwY3u1>=s(dK5rQ8VvSoTv=kK-LzoelbL4OFsI65#whCHveoG<9Yx}0AzKzZ_8VTd z!m`oXyd+!19ugw?6~-KE_HeZ=iMTzObP}HnIZm-xvmhb4SY({CjcfKz&`lF`APJ7e zhY8Ze9#^)U$C>xyRC}xiI_GhKZbHCg_A1-pON`-2YlGR0xHE$!2?L>Qv64lBf{+BJ zna|RV7Fvk3LLbQPF=kUUyo0tR`VRR`G~gXZnGx=-$3;J4q9zhL-bI(@bWxYHXln-c z6~^MG1=bNG$&}zX>+{PAoPb}&jjYtMeB78b4a=9?lIS~@+aFQ@^ow%ns2Vl!Xm@MG z$bGx9aA}d-o{7LE0s>-A!E2R{*Q<^B(eQfKmPFt2I&{v%k}G*zXv5*7n<)s$)0~PNj;`HCnp@;_*-rnJZ(%HXJWA!n9QXE`Y#@a3d``f_HKBG0T4Q!$U# zx_P|Em}$*C-fc^w@8Zf*zQ=YE>16z%G)oftUmPFre;817-2ku3c;01Eo3p9Vi4dlV%Xx_mIYGs`KjAxPD zc*Gd4h!R`Hea31^+v5*Ot2lr;JBgVkF|!aeSVPTcLovH90j$%_<0ZySYvyr}Es4IH zhZCB|!F!$4bb5ICaw`XmH)o(-V}a8G?MR>xW-F56a3-xf{PjATuQ29JL-TQ45`9NA z6QYT#$x+-xh7Qfuf!+4%rh0=heVwt`X)(=6Oz+B~MvXdeoi-3E3wSE58+2H|-IzHI z)>qq-=sT>k*P$R(Y$D>?XfN0l5e>8!Z_a@Jh_S$F0aZHb-CVpP7>57#>N)H`!Idm> z)pete<_{WkrlI*BTM}_JEmEN}o66OK79=DWbGG$3#6@e0i)oD)pRG&d(r$`ZLyOW5 zs@N2@0iQR9E!igNh}Xor&>NHLLO*BxtD3$2sUTso8fdNQYscuKLUQqxpvfWY7*4pO z{@`*AS?kLOdK0Z{T5n&M5!We_N2f_NaT!jTr4!hYw8XZ|m?;gEuiJuRyGC)_QBF+X z>)@Iq+#iNZ?XmqGcVO`)qjZNbPW+B-FHHLqV|AOcT2l6q_H7u3MOr<}%x9y_X9MO# z-woK3fXf(jr~&8Ll8}D$20^0dYolAwqq9v^r<=3x#V-9Vxe22;ZY)?@^tOq`hX!+& z+{cni5FavTNCWGrEr~c-7UQHGYPqjlkdR#bJG+Z+b*t8%dUTAgzOB-2E;wI?&O#T9 z=y_b|O;>eCPX6G1eRRSNISbru%lA*H!)3b%^w=6-WsF=}Ydj3UAIO|_;rDUPtyo+q znX@c2{^HY4vh&z;oh6yc$AmH~ekNhXeZiP_&2Z-g35zk?c6hk{NELf}a;Q+pS~c#` zAaQfJ4I^R6`tnT~zV9jMHiahYi}U|ysxBluUwqNYXgMvj@WvnA1YjCLO> z;CQB3T0pox{{p#qy=Iyh7{$kog-(lNCWEUf!F4oEARM6NIs$7#5!HEP_B2>uW=o>) zuwL(MY2AZZ^}@<%2?2}P~MR75uE1`c9gQ$ix(YdwpDHx zQE$w7yXg4Vtr0`@tH#2mg=%{S#pvKJ8)GhlSVFbYFB@~DA@*Tg5^=;V@-s5U!}E0u z5|WEWQarYE!fhvJF_jl5?&63wghsPCk|H*%=+cI*=BvgEPH#2X63M(}Ro)bAX8zHZMBmZcb9BxvW9vsS8&uTdpwc{?)knL1>bDrt>(}*b7BZCaeE$6zqQZZ+ zihTt7)`1P<36qpv#vE!GZ?`4UcZ|1>=1VPPX9~EIvQCHG;C4!F-q@`XBRFa-T-rXl zBjXD0vT^Q|PMI)cdBB(<4X{JDB>E26`bUe67F8c51VyoD49~Q&C~4u@kij9D3NH#O z2@{T-F&`Q#ue2r6cT}!Z>j53Hxt{7o6EM1LOGfMs#$u*L?D~w#XEw&Cf?vX1C$kL4C^#52|&HQyn^!JPvk`~eZnW+{o2}xSfqwS2LL?VNOi`XHN z(iIbCDxWlFRfGTIwj}xv|7}z`a2PjuBPuyU(*xeay3eTqb6Np)5``m#9>Lw2G|Yb30osZjTzJ+ ze!!MQ-yz;f{`%a}laEMfr`_3NIkthZdou>HXe?k_5O)cmT=&W?37*fPGR!9IftWUC zNrNqCOQP?vZ8_{V(KCa+ED1A}#1;(Jn~cRu3)a@m6!8^qSz*2uoHpoX@NY2YM#Jfn zEs4J4v}z2cUe#7Jnq&*VWjub;nEkYPtj^^9-&Zh5*oyGu#vEuEyx*2Y-!T{zXVBBt zG)KzC8r3I8(MWjCxcq^!NNI7|oWW_-`675i`LWNFg3u4Hj#Xa#@qN4q1?p zT>O#k1}1-#n7C4O={AYk+%Br7E=#wC8^)e6hA`Q0kp>bsjAfHHjD3^wuWGjUs35U~ z#pl*%5}PZ}gGTN1J()*01a*PQP<=TT7ss)oWdcd(|fZza1-J4Wum8;h78Io!!1c@#xo z0gnoD2|GFdFJqoGmZr$HHD2OKHzB$R^u zk})e9JpapiNoik%cqflMGDZ}>H#)77W?FNzT3HMR?oQhr+ zIjC-9Ql-ZijM>s4{0mzWsUfu9UiVFep&t-)h>U>)M}yW{O-I!0?{jF*fnB&boJ<~M zS19Ij)GN2Z4ZgG`i{3*@B78Aw0Db%&ww{d}dlP|cu}u5r!g_oiai|Shap)*S%?cf5 zLlr4!;IWFhL4)hC@fK@{zf}k2go>4Q#u90Uw?>fY8YlI9gRhK!&Q@z;z{Om9re2+I z7NX{GxrU7Aeq-s=dIK3I)j}q-K9hJ5F0EbNn&BHVe9p5TaZc9|3C@#7 zn}mX>Nn`dj1AD@jgfy^4ptT-t_Dv{30u31XA}XR9#VYQYa?VzZjRyQhaI$#RW0<|l zSijy_6KS!=G1M#x!wSc)NRq9wB;gt9s-sURqI#_{n;Pb?5hRw*(cer*l42JIw$g~| z3zuR8uP$z#rCWAqWA)o9+B0N7WUPy{knP5{Y@cTy#9bP!nP(hnCwNxe|EeVS|6XJ6 zG^GA-TN1K&{&!mv(*3i&^wa%Y`-mIQ;+lENu8b9@r@cC6ee~g|f89W=u4}QzY*e2y zR#;l2x+#NRKn$Y)OK!uCuheX998W0O`+Z}^G<*78L85EVAL@CGxA8ox!s%4vAVHxf z7u(uXM&Lh;1x<^x|6sEZ`84!L~up2sEHQGw3lRab1m}XHY z1&OXcx92YRMaucpGyw|oHDbQujJBFpTK7NX5PZ|P`I=lazKI=`W=(|wZ5rz>Eub&T zC`VBfrh%v6`IPI+Cqiu!k378)PjMb=l05xW#w=@4S8PehZhOI&gmfNkaQ$>1wwpJH z)fwHqiy3+_edCFNUufZvO0nq8^kp{0_ZaIlts#y?W_2V@=u~*h(6!`Z<9I^F_PdQ4 z)y(f*wj`waEi!7@0)O{8k1s?;!37ROSEAq00vaMOEJ`kdDvaoy-jW8J!EYL?CaoFV zgKho3Y*c5X$`;xKXLLo$MJSu%juJ|`f6bU*%^E&pOCoL!7M?^pBVK&BAR)P!uw4)# zE^sdI7zz%|hhOU{=?zD!mAPuU)#OCg<$PM{?y$OI`CxBiX%aTEy5hd1>WXE?zp9zp z*M*sN)o<^olsjS?b><===f+za}P2KICn7Yt8lR;e4$j&vgxk^Qu z-ET??KOAF@G$?McB_aFTwSq*?W71uGmKbf+$WwY=>}E?q?K15cw}*^HOpDvK{)uC> z83UIBRhzEwKf|HES$aTDZ2- z5iJ2<;!3Dk7fYzGC>e930W~8?ETOj>QAQJ7Hy}=pZrqFIkMcsLI!npU*cmmE1e@{O z4BMNH6_pmY5#-gw(Gj;4usm1;3B>7oG;qs$u$^EeYBAUdLw9>-^j| zbpansDLI^(BoeC=RN-5zHi{H)h#2}TmMN-vTq=I7TF05U&d@Pj&r`&@D2`LDG^lc{ zu{Ro8_wje$cJ)=uuA=|gvVO`~*J&;5u`ZSs=qjv+4s<1|ETB7~D>`Hmy24*VRdhqF zuPT`!A`47#|36_Yl4gNFYD*$+ffjML4At4US&)!i^eKGUaelt4u9-S#rb^hJ5fAyg zwPMrzys?tgnjQ`Uj`EkS`uv5HyiG~PVxKeSNVA+jwI$Ja%yyot*2V6bF}Z3FAB7uf zA|q7yW{ldv=044f+PgBd;E?C+VO;@psKAy`YPHIkB@MRawj}xv+l|Lsb;MOTF+qiG z!8wNzuzn#1-eQdz!VzO(({{X@GSkeh>Kt(KDQ>f3ZWSOC%4hZ&Go}H#*Oo+TAgu%U z35wL|-gYu`>^^9^#qvI$c~K>X5{Ds(@7Qr3%R{G5pO`ow9J}w} zhKyn*>b<+RVif0$1y742hFrQSxKhL|M|4j;)`YUmpVH+Mt8yB~JZWImY)QyYKg)Rb zdcv@EVxiIG$vW2baoaXc3ZjrDH(|WqX)IV;ytZW;A!qQ;0cR1g5@PG`F=j{u>ut6q z`VQ6|XX~g~Lg5AGZXV|J>8~s?dXu63u(2A_LVHIBx0Xmb;6c;eX97n#o{*yXd1E#; zz<<`3L>zF7nUI`JvBS0?A-U+&WJ+9`b>zgc(Q|k1=X;6aJYznBoWItD4e1|^)tlCk z_+BmS9&zh;?&mYFh%?1UBoxK{y)iqQ!TgOai8xdiXiJ0PbrcH{l8b-0UGei5%I?41 zLRt5P9P0@6j&okFRi~oOc>H;*&SPYGe0ER6W7hg zlh)0KjDJ;G8MgwU z6b_SMO9UlM9k%-s#39!%HjAJ3=4oFFYG|Fu=#oN3jaW5qg7lD<5=(UIKzb%uMtu}0E%!2OwdmI#Lm)U(qhQC8`a2?n6zpAgjz z8?&n6e+Prtt&4U=)wYLj;CwcnKXH6CUN9Jc$bd{3OPLmsjTz2fgPZIOiVY&_PU>)H zjaktYe#(}F>~Ig;l8_@O!+u30CwF@b5|RrZA1p{nUGVsALBh|sj9)I_($)H{!-8wi z74tKmC=oh|t3<1qmCT@aopx_UyjN)=%&xq{80}>9CrJ~tE8m=yU3t6luWFY5ydbfJ z*_FFxnIy*i6BS&6gxM0GGD-Vi&(v{ygIiy4PKs*@Ca^;px{v6+ZApVY)rX9gmJ+J= zJxZx1>Y6d`PD%FfGr8xg@26gq}RzDvAK>; zCZXFW9lAq|R^aJK0l!c$3jE^D8RI`T7C0@&H;eVufa9#-m<|I}I9A|H2nRl6%$f%0 z@7t2-JDl4NyA9M+QpGX#Wz2+~iATqx7RE0;-h2Qml(^F#=@s{m3su1 z0!nl=QAJz~xThY7p2*xQ4l|*O@Psjg8oKvs#ap@Yn@r%(Y>2eJj)t@sKGA*jt zWoE&p7=Lpim+Y=Ds^BG5nS98YDGj_2+LGuycw0{vD;Fr&DGp~#3~rN~FkpXXELd8= zw&6Ad!5J?xCWN*LC${{tF*_PmpRpy;cc{{)aN3t^$gr*0-mfW1?E2B=NvB<0ZT#yR zO5gZTi_&P&p{Os_!z7zO6c!u7DTob94>ho{78#>xRwe2*dq9sdzuj2tX}jv-u&Yup zl`{KdWHGD~P-Ko}l2jL*a3aPYW8O83xy6=5-~08xG3-N}6YEVUC!Fbeb=Gmkk$LV^ zv5XBZI5MSyS;dq%R3d5|X0NgxoH15JT06*Q^1dY5Y8mrgNRoBMVSBzL*r}sPqJ+;0 zmmZ!pW>bUwge{4_Lq2lYUGN&8d-Xdg`G*}kKpg8*DO2?Atay7*+IJcDrm-^8!#+jQ zP;5n_h%Cy>`I0dz*CtRBNlrftc>=j!QeTV(U!Pua|FQTus_}>#DBkf=@ zB5VlnFjh}mL!b+&IAn_&1o4$kXAv9pP5y5;=2x?b=WR*EEy8lSj}_0$QWhj67jLo6 zyZVccXP0)-aWhW-qH1Fr+fI4SLNy;v`jn=^#l}w=LzHZlBw^xWV=-y5@pp`WRkN+% z5+s&zv2h*N7wgqv6IEnCb@UNi-9H(Nm{PIr^%=yil9O;aPrMG{AB@@1H2t@>BxL{j zB7@cI6~FD+AYH5=_@M*tCW62|YU}N8jTojKJ9;xC)9k;!183ARceLF-48fI}lNCuP zTWmFENCRxpmPBg6tji%(&orChnc7JW7^(Y=rAphOVsqyeNsD(cG5&Q8mU{$=t{$sv z?TKyW)tbZAY7=q4TZ>L!lv5)vE{?|w^2IQZyjPu`j+)5j8nVs2*;r3$ZRR>r6%pZ*P6lEw z6(dSmzik^crJ2xkwj`tp^$EO9N9xrEAy+P9^L@O2tgSz0pnl3&ptL{@W^!?k6nGL= zUw^`w6%C#rwI$Jac($LS6F(4#AofOXkwR}eBO%(ax;0{`{?J&sv{3B`kKIB28*?Z2 z`pTrhit&V{)K42TqyhFRTM~T-Y_9-}imk-TI5vz$4%t5;?zozzog7gN4c=o|zizC8 zw6N}FSQQz9-GO4k4QCwSa1|Co>6r=Zr2lTrq6YN8+LA~Ov~|$A{pdxno-5LNIHmi} z)~g8znRRQ#7-n|%Z<^o*+=;v$7QdN01+j$1QOB4e4Y3;piLUWz?>Fn*7vO-M=1G;g z&d`~Y6MM;rBBkjZ!)bsQ=(dDP!htGRMv5^#YOKPv{qkPif58@)T&641^q3SvOl0dx z%xoy83VTus?_p!EHQ*n#B_X@&eQZ0up3onX7IIh*Q&H$OEqX8pu^_$G^m2tt@u^n4 zaP5jHv3-<`)s)sg4oUk+h;vCyPUeSVW)(3b29i(|JY&qZW*~W65`8z2lhQz(cs%U5 z4J`a7SO#vt&0{0L3?IrSMoaG^7Wks$dT&Xy3BB1^k!elnVQE6~C_Ib#oz#P3I$2f& zpTVZ6A!1PpyTseZQfLk22x~>7)`=l{3nc=*No;zZAmPp(ZqLkU9r(v6J(?LLt~{`7)^X} znKIl7!OZ22CLu%cX=CO!qxqCAiM|^Ru4Ut(@Lp$B)aRlo35EA{50yxIs$kL94ENWK z#Z3!0UE<~kv0QVDdLnTK1zn{{nT?1CNXQ=iyD@7TnEz@^A`YfSHdZEdd7@-NLUO@5 zK?@R+3tsTFAR)QxLHV$wSH zsPV6ACjNjRv4pemMYY;aY{Bj(XDo2CyV2C#jxEBiOq%X2g0u z_gyLWJH{5TgD+Y8myDTDtNm5HqfuF$UYWEw{T;>(XaIbhEs4GZu#Hy7%7M!X6EcxX zk1lN(p7$GzmKL7vVofaIEg@O7GHK2FhmHBs(E0&e5`9POY;Z3R#Zcwq1+QEzRIB+g zU)bP#uW%H5ptfjLcs_poWpozTd-7}}pEOozS{r#8;x+$fAB1UABcZi4_?9gkrygiT zDGwD1r`XBsGQwM#bgJ0LjYZMS>tnVg`fgs^9xFC*EIn3GoFlZc3U@PTt9f18FwkE$ z7A-B%+cWb4Z`qvSEf$Zj98Z{9ec6~F4XuB)B@su7@ z#=okW+#Q01MRaVvSh({coVHl6m0c)UEH=2ft-D!pW2bd@Z^qsKtg-CL-Cxr)FiUs59j?u|wN&Ygp2T$BH7B@SLIgZex+s zLbVx3Uo%hHkf#Vn35#hRV{SBz-fBxCj*-QXCr3^0xfUcO7svZ!DYuV0xQ-)t0ZATN z%ze_G!MgYi_Ov^vTIDA0UBq3A(c!Ia@*>;TuNy;=*0%0|Z3!t5Qp=+6awtW3!zM|g z7+r$N{faS@n#ui=Es4H^jc(tlPB)z#tsoSq0jlN};?EhnzcUsoEp+4-=r^+pPYOZ_ z>!E*b%!`K57i>xN9id(0UcG|Ti$&~H!MYAg89h`B$Ct}5(~c3_d|jVn&i1vL3(O-= zS|dCv$R#XFZZzgeLvEcdiM}H@G*+CR#-%_w2gcWr!0;3nalAVAyf&z;igt=dyWDM; zdu@+=iBWx#vG{5G;hs!B;6JP4J1h9lhWlJq_n9!yy~~(E4dVT_B>E2VAce!TRpcd- zFRDm*&agdUEK*w7HuI%$#8Xgwsv?xIF8EExyl4nLYD=Q;2xa9VTv*nv)|$oH;?sP! z2=bJ4(V=%y<|v~*(ePbH_BF<;NQ>;Sav&Ghd{tR!A(&;6*+muggc9R#G3HZ4{TW*l zanvosU>QksO2UGKEYpf z1j^azfTJ+-U6ZtO`ya-vXz=`-Es50dSSM|-JKQRkMTsx>o_)$%Ulgj#wq(?9xxP0O z7tL$6uggsNeByi_>Ql-BoE$#aB(3G%Y|NB~-;ILA5<0c@r(AKwU6MzOJ!8!uGZr#! zf7yUohIsMy9#M9ZH#=g?iKgzC+LDmn<$gx2*WT>LiJX5@jazG?S1hdWSJTn$f&nkXS-@ zd&{H6MhiQSpQf!YNcG?%M9p#YUocilT8M7R%t_8g9l01Aqo}DaJMnId zpEKr9gX}}LBxDc!Afw)Em!09e4CmbiQ8TXSOCU}9ip8X<-e6?^+*s`N$np(_#5d&( z6uv{8mGzJ{ZYTlY6TlK=TQ#~&YgvB+t0-Q5jWxz$h|(i6`@d$}=p z8m5oflIT08JCES#5u7dT2W!WRl_CzL&U>-L`@1(|1Yd0|U|Ixs;m#GGLory-fWs_v zsLZ(%PfL5&m?;gor)^2}9k}}^=r$G4IlF+9HBlZ+*XlH@w2vCC9yb7BFui0Y$pbQICb4plO{**Canlb&3AhCpj+aYChf#c4&@E?`xJRdL+ zuDXf1Tfiq~Q;A3Vwy%g11N*PW3QP;^eHmq=LRQF`g`B)UJQ|$~=y}!{91yCEHi_E; z|HYVZ4fubuB_aFoKd|leI`qR{aYo(W-Lp?j__+o|C^FiE7jMp3-*98UCSp#;WsZY# z5D`2Gh8g)tH%^-GUu(>phUX4j5^+2&T)G?;*qvCAkX-a@RJb1Ley;JOT~6Y zqYE%%bNtIUWpg@htnak0l zW8Q;qYe7PC!8IrrB&04rV7p>ZT(qW2FI(C=qukL-!<(JL)XKlK;9eX8C~oDMz$_VG zQy@fBty6AgL405jcJv}V!mQ`uylY(SRGHa__x+pk9&U*jQC5?955o6_rAj|-Y&OZ= zh*XwXs`Q?uQl+0X{#C8Z{J0>|)j{?C6vvxJE6y40JDe+e^E7V6L5s#Ci?(Jj_It*P zNU8odg(F$oCrSL$=;8TBmes<`fh4c?Nn_45h(2yhLiXg3G0MFTE>|6PXOPyJiDDLh z%h-I)nEkZatVWR;|9&{O3?v1FUp3}H!{E!dBvNBwy?Bn|KB0u*{NY&mr9Wm^Zn~*A z5xnNHMD3s8D2U*dIBOuOIO%$0Ry2He2@+l1SkL3E!+vej0$rC|ov+Z~!Ivf6>l`W2 z)-yjZd(xZpP{_>}&_|}^(N5C~f(-1au{P88x5Ggd6iJ6Wq|Eo#00CrSlb8TB&hyy1x^6YNY)+ zDaTj8F&f8`&@g4eh7%MR?viE0-fvnkSmQ}6Ag{awv zDk|0q8_jTMSOohdFY*`0jBDtB)|Q0yB7edL)axnMaDtgc%W}lZ&S>5heK*>lOW-y#!2+=wnk*Ia^u5blW>>3KDT>Zt5&d6vH4fxK+iVzLnV^es&u?o_f!rlZ^P*2NDs!1Fe zPgqfWtuc!l(66y2@qYy9Sg7LT9`y=IKzDhMfqtK{3a$j`Sb*Z=uJ-7J`?Y?^m_-ff z_u7)^JJ7pdeq40rdy#VHr8BLIM-fi*0z>-=W1-VRyE}7nMvQ03N(-i?lMaSC71K5P zjrPB7%$tVkM{P;;9n+1{4dcYxMr`w)_LR~3im^Cp(b|ODuV;`Cq+=su#~}`k59rwZ zvoR+cHea$O5y!?NrjubIug6-DkX*dqcCCuIz_R_RrCqkao2N3xyoU?8{DqRU^$-YAas(p8+C?yl? zQMphuzYr{xEDYL}HOjR~Nv4y=>}m*~uq7e8_Axe+UMHD0t61X%s(LZDizKN5!`L(y zDlLp#u+|`Pnq{uSJn-72h5o0EnbAP1*pf&MlJ&CPj`P)dx1JYA>N)U%RLQHK$JezL z`O@OGGt*@LM3<}Oa72mEp8{IKahPv6=12qWc|l?cedqP(u@NFnzTv21TD(lg zQl5uDH2<>yEkL-{>)gwwBYT^%rl4Cpx%OdmEchAQc0fhkBynqfcuOsiM|6jK2~&R zs<;EM__XMBj<~ed19o8m!@~s?dse5Kv@Hg{2({@!R7pD%MN}CJXnIPS&11#xJ_V%h zlPItb^&p%s>j4%L=poB`pgni22lmZ@9?&w>L&TyI-1ODPa%dLyjb2%l#q>zduz0Yr zAR+C#Phr?L&U)oA?IBl$F-9NWyR>0jyT=%#w617-hSOl+E!$;iPbk(oXv~jhGk4mO z=sQ|Rj(b(q0N1e$hnW=a{HS|Po-NVr3CCVv@Rv(4#I(w8-Feh4w>&xygF0OULr=95 z9cg+(kuBkIW3{EVgt5#_AUC$~s&b3D70J!DK)Cxz$eo=dxv30Lkz4UL3H2N=H|Acm zn@4O(^xbZ@Qr{*MY2=C*ip^{p$D_v#A-M@7`)Xss(jvPpLp@tmW2l@dP$eu~J!{O4 z2G!HHBvM0VKjk{?;${g%5fnZsdu^lrc1O2XjM#gO{*o{ATAQ>C z^=@O1G|=89NG#!$YvYMZj<)GwXPX!vqY!9MS@pkWENEKQZ$gqOKV)qF)>xRd*aRiT#ElM3LLJc;jakv4 z`Ab_8eTQa%Z{*NnQ6DfQgPDHKRo413%Of@zbv!TJU)|NyZ4vTq$oNBO>v>+k5 z=+jhV(;18yb*Jg&3YFqht@u`9{V^NJVPmzX?X!a!KD0sMNC`X=R@fgjW<@iS`)o|BA#1aNa*B|pR)FBB?3j~+HnfUTextqV!SOqB+-@YL;t#F#{ zdSmeVqzLMJjM>tVd7CW>+1b8}!R>Vfb^Q@s?out|L^sN8I(`>9&0QoKPhGw#L-=81 zLDNG>SGRgOWHhwY#=r)CO+pP4uh{ zSM8laa76skzS@w#Fh*LRbjA8AV~#Y;mfMm@jhS_FX1loBv+OP)ki`LlIj@F#mP$05 zXm@MGkc}8im$swr$js8kqk_Av%AJB(LgsUyF+&<+dj*Ll3_fn-ijnLbUoVc+yEqLl zlALZ1TUf;B=opsvCC2Gx#%f86({0$(PW3K6_c&ILx#x{Yl6e)jq}b%NF^3v(`Sp=1ViF?-wMxI_{pIVRD~19Sda;w7@Y-XJU!b3Wxa7YDcSrt%vmnrXu3D z^NU6JNpXi?(yH{8kz!cXA3d9NG|Kzc)xP4{cY%1>*$M>Ba}a$&1txlfT?6oZND4qUz>J|1soS#rgO z6LzJ2)tG(Fg1;eBGG~7t0F^w zBWNZpcjk^5kh+}OL>B(S`2Yd?>k_(=BT9A-j@Ispf3CTsnHYrV9V7KI< zwj%aLUz3`FmT6 z6v*_iF|HplRzO-@_o9>~kU(sZ#nvN8pq?z+@Fh@SPFQpQF=G}rnBQkhqVF)@@d)k1 zlAY7{t9~cNT2C3X310G!A#L;~gZ=x)YDf$A9hnx%Av>@yM{o;ARuw~mJ7J~nca53U z;QoXyiPUgg$G$gDG^#en8~XH zY{K%zzZr9;0s0j|V(EhAo6gp&7%#;U{D^r1>BDXs^|_0-W`u6s)35o9Lzk!#zhbFL z@*AQRK`1GjzRs984Wpg5BxI-CW=ldw(`+f0(KO?OVIW|2E@czNge zSk#OXo-;#djMb91Yj4iX`aID=zbH|UcIJd_9Vd->(G2B;Aknom_dXxA`rN4ru^t`O zxBQyb{FJe1Y1OeZug#2+#!Z#NbuEhro5*lSdsgxn}$$?Bw}&-2EtXwbaHmP8yH3kN5CBzHgy5|WEW ze5AF3oUK#AAf2$$EY@NH?}pezHjrO4R%v)v(}bG z|AFC|KXoih&BcI;J!D|+F%~9m=h^7b->C};Zj>IgP6y_oF(Vo zHH%X%Y!$1{^FcvDs2t7$lat`)uQRxh8!IF&xcf6WcntMyD6-5#B6PfYJ_0C^D4ZuI zrOems@W0%cRSo_}Y)Pbs-+G>Q5GR?GTX{;$T`pN8?uJY5y;c<13SMojm$X)J7oCX0 za$$)iNNH%$vt=atfepGLJZsFYW(ZFU5?yD5JzocX=>!t0bllfa11DagFtu7o32(R- zP2GKOus-TU`adrBIj%YCD<{XezuQ=oX>orrgQZoHILiWK=!L-HQn&C1{(5lKJ79Vg z9||@kO(kQ5%|woYw5<0H*N#@@&bysK$C5byxB`w)lPP%3$^Tw`@sBE8=;ri9UQ= zmR7{&P8K927r$;>yF*-{=IzYV*1X+vq};-yJ5^GPQvXLPjTSa{VDS%G&Y;3AVuGd5 ztO!8cytg-#4U##rtnIV-DIX+R*0$03S2drtPLNo-fotm##BaQpVzdT_jS9l}u|Ua9 zxTo(omN>bmYkF>PL-iCm;~lw@vv3BnE@{vhHfBcy;0{|7vZD>zl91h<&ESf<`_W4Ei@?3gToK1s(8^sbA8kW`;rvl!rKE-PKnQ1cKjM9HZ*jI& z!x_IqsBBFLm5m6c!Tux0>}jz7pe>2M!+t1){lLB0RegbimWAMkfxO#vMF`_vtd*-G zpy_@J@D)*FL-?ezn$jA=A!!H)aLPQ1nI$o^)%i-6#1zAIC}uVyre+ZzH|A5bh>zKl z=(|PS8Ct|aID%RkyBvib(5(b?jjGtaTE|{cG8K9fb=KyuGxlFGR!Cax@08dd%r;0M zMjX3YNg&?f>I)>E=$`+djhWK`|B@|HX<=7V*_49s6=?B8yzkhIwMV61=Mm^lsbx7d=118y-; z%dwsZ2n!ODi`#4k@yGgmmv*eb9hty#5n0wTnz)2Fuu{Yt-(egL0#<}c^N$-#oNSsT z`C>u9$BchVv$Wq3B$hA;2$xs%LrtQOxTpWUv4| zB_TV|=NX?~kK}{FG6F6GY~rG#c;-9dIpeYUj^4z$nt8W3XT;4wG_ekO(m>g0{PP+p z>ugE%9hB?O)=>!fRExH$`70B2^u|oR+N#9rnJ(Xyp}NOd(6n9W2JDYeI299Mg;Nc+ zgT|a_sNHExA~kB(^)2Ek#~gA&4bQ<&BnOB5JL(w~u{7u6%^ALLHkLRod^d}eADQDU zIL?COtj}?lPSt4W^P0zuxzQjzFGwumP?Nt>O*hS8~xG<|CndBM*wQWpicbcBeW zg))4XA$!JHNogS)rtR2)EIbv3ETZG7vd~%CLKdwHUNmM+!>?saLUzGAn?SEevrR#8 z7K|W~;H<4bX1LyEEKpjw264)=IFN>KyTh2K_o(kR{&fwJci57MBVrNb%V`4lYYP&R zi$$UwYuCK(91W*+1oY?W=AUZ0I#Y~?I$heZiG18x!)Z-qJ4&~iHzbi2-n5?kF=G}q zJNXSkVhKI(pugBxtiWxR%i6B`gy*d9FBuD)R^OX5{#u>FlcwvxGyZu^*MDtGLiUC) zFkHR%k~FKwtC;cb(6to>$Kd!G&LJ57gax<>T_1a&@ZnTzh4qn9qBa&ZYKxpS=IYbM4iY z*6b9fCi%`dvL`tI4L@70lovXed<%Ghe);iLS6y|w^rZMxoCW7A@j*Q7r{V^}AdZ!_ z5=VI8pt>%aDiEusMU?c>sFFU~Hd4~5FI@AVPfM$Do^Rl-$sglE&cI2`r{J)@tyQX8-HBRLO&Z-{%8LSDgT~`=3dlAbN_?1 z^xj3Z^fys0{mp+NExlN1X#m?m{CeFkdin*@(}x$))4xRZ^e_K~^z;&;r!_&xzBBrf zJ9_w(dwTehx_VNt{R7hJXXuYVqCftG{`fQeahVQVT8+cqB3kBe{{QbYH-<~nR6>dh zQW}d_D*ui(AXgYP=;jvxl{ES_`r|+7kFPJH+nt(j#WzN}wHUN5f+r>Z64`YN5;Fe! zRofiDzruBVX;-)o`RAUEmS;S~|NESWu(*XVWQNjUqxHJGz!|bx+yxTM6pndrvsI5x z6iQpdC9hkvy_pk`Dq>4sqUgPJEp5XnZA4^RlIt_Ojek{}1l%M@EaAL3y22G%3XeYG z$<~;$h{>~IO|kLCuW)a{)k%8`Mvd9fH2r`r3E9yOF<8Bx6=zS()~a=!b=kxcFWrnL z>J$CD-3meHs9_z(or!gUw&A-BYSCB~X+a&%6a!gMqAG5A1OLHIZ-Fex@cXhTs3%;y zFm24IhI-DHL~7LSGlPfS1`glwAy4#h?QO|z7{)gl%a#_#?HQaMRm=qtP6yssfh*zI z)i)UPqrr7akm%|Td%ks;&qtniXK8zYKq43KVaZJxfgd-PI4uJH5z5RN<3OCL03`Xz z_Zu^$LGZ)2BxH~I0b3F>EMh~rqOhn>-g?vN)@*G-xM)`dE3uUx?J=9mXN`4|)>H;F z$T-ydmckzytZhwT1|F)Nyp{J*v&q>=Oqp51(}uriQ7%9o^`!TwdT+8SF7PxAsp zxN^8pL1sJS-!`ldnN`WP0&2pMy4M&pr-6EvEs4~iT91`mkGri#qv%$gqjcpwKxI@P5Xjt7UNG#nzx%cEF&KOSDKy*hZSXV22 z5lRtvEKt!2-GPFwR}}C?Q89Rrp*m%(o3v2v&6Ha>4M&kdT=3_MKy?ea(T_z?;Y%83 zA2w!E1Ms*l3EA1kY)Qyrmd&UK!>k1f$pue>El5aRTyHxd`8kjWmNo}6be>kMDCZF@ zWbuJiNP}EJ`4(LcOQ$cm(Hk^NyTgRX^TyaGcN3C3mhkXRRi-)KV*Fd0wZBo2SUPvL z@iF8e%L~p#uuK?9bZAf6^?bls&XhWBZ^}>}w7h^lnf|h+rsN+p{&7vo@3SQ#yU`EX zl8~L5p}wNd{GC_A1x`;mxwM`6zN5H!hc=VbFo^@^9rtC}Y`_+pS zLRkgMbZsTcibEP%RuOFmqGpAtD)vd}?=@yzL;p5g5^_+;umSZt?Y$YU60_STI;wD- zW5;4M^P~n0=*x_SN(<-~x_80nilzj${IrsFLl;dtM*OrfI~q*mwj}xw)6t7HWKg(J zea^rkTI7{iu> zdJ#umVxsOGYgKRnd$khlU1?rm7~g3ubXpiQ)Y}5Cam2UeIy}rW*839Dncri~o(AjN zY)SMT)@`Re4_CBf+{BnE1{e$`H%G_FE^QdR4;zb?7QC&QS@0%CHOZP>p&(zGkf;24 zV}3NWe%6*m-_d#y$$w1SX|oUcr+Sg61+;mWAe3s_7jDm@q@e&9)eg~%g4!HDU{ z2R4Ix;h1-hKV&Ee?(EkL1;_XcZn8jBa1((h;R>)-#;j=2EVm`mcW8FfA>g@cz3!Dc z?wR(-(5U0>-i+ZIF%~dw&)X$##!xs6$IGY#PPp!ApD|M!aC>b@#DTNO63Ijp&ucA6 zNG_JyItR%Gr#r5Qi_h66UHshjk)=&{Z56p|cr1}{q4U#ebD^4GEj<{fv0BEalH3JI z##kE5H%pnPt{eZBX4zFiVhM94+fQJBTD_HP;x3nBWx85N;-9vjsOoHYYs6lrV=Q(` z6}NZbe2Rd(tje9H`nMYMpsD^%wj^YCegmV|>qNzE;bP4w)}XP0hEl!9u&K~#An!|M z_s)Sk4;+kQmi8sa@I%JJr^RqjMr@8k7tOjM_t|N1kHbWn`>fzz!}Np3JZYGIz?MYc zF_kxuVKqCR(TG1}jQ+@2n6wye#5CByB#pVzu=qpc-`24Bv@MC$SXgK9S0xQ1?eJSx z|5f{Y6Z>i-NqcpMF2$fhOw;@SwpE(E!r*IyMAspu=Ov8;Cn`>(H9PCp7or|XeZVTc zxo;|6i;*K6aG`1SM&sYrtob@y64IJ?+LDmLA7gt(!5@!V79=DW9JE-Fkh&<_+PNQs zK6JSdwD&7aYtDyTeAPgybSjKHr;Wi)cGe`=VsU5A__s83ex)r53E`81M9FjkOY&?1|h3SSQJ82U3Jq{m+GpvmZY0S0S$EKl@EARj?3tXGq@ot;@~nP3@AQv zLz#zwI?ty#<1UU2A`T++|IT-A-MV$EI`^E;#Wyqg{nGcGTjzZD`@a8o_H(|I&id;e zBMMwWjcBVSAd02cQL)v=Dr7BJE-ciM10}e$;YrP6MJ`$h%9314O?FJ1K?VAoO-a;3 zZ%_fq(%Umy>1}9H#?5^XZO*|R6YC=G6-Z*80=u4gl9W(b7TE&m%e!bbb7bW#b%05aZ^>8W&SLn1c$zNU@ zCE_CagtpiLRgBSQR&qz>O>k!k?vzsZxHb=p>K`*D;g!0tF?uI^v^mq=v(^xxx+xf) z7q!I-iq5R4yLW9=Xnw2BfC9~PrX)g#X6`O5InyyzG4r(ro1u#s{O^kO`3q3vWDL^6 zl_zH;qtsHRd2nFK9Evp<+UiUkroo|7h~{Z?p&-?1N+NWmIswiA8t^zz-{aJOCS#{- z)>s-PVw5&%3m3E~&B5(jRoqz>?i7qJ(B?tGXq_pE&@pP;!VW99i%Cy^5vuu(5lLu^ z5)_ekAVR$kizi^!!V=T|v;xFcrX)fKVzN7-@5jJ<&FUY~79gnlTX>F=7D1IFa7_EF ziso-NB@w#j7jLy=ZjefbUTk1A^asws)k z)jn-M%#e=I)IBRxQh(-x@w~P`L4lYKf0}|LI!4B)ca-YvH`-rU5P8;=MCgb#n3gM5 zy=M&Ot_rIMJOxdO>-|qr{%q~fD$1W>N+NXSFK~-PzSs{pA!5g8-P=4%qo!nlHfW0( zw2&;U6p|`F#W>%B&nN}5^R*dKAX{rnB6P^weBSo`Eq%>z49nHpq6CGd9ZQf^{`6HK z4rzZ{0pbm&Bti#b*TL){%`{@eB6;q_P7F*%!cjYq3UGy>=lL8%e=RTWCzmvv!CSQz z8Pp7RMGHa`m8{7=uM_1 zLN_8!fBnABqGnz;gAZ$~BB&XR+1LLEv{_St{%cbbp#xoU=I`EMlC%)N(H;&L}(>Ps--D}xQKVIj^?*n$@C+wPQ zZ1l1+lK-l$h@eO=!*!2R5=;6b7m`@6AXu&R1d#}NJ0O3h&6oo6&rL~$4)Qwo?87Y) zjtpk_iZonvY~xIfn38ud;cyFPgx07pN$vF)(6JC=1DLfstnte_=?O?mX=UZr&QeOz z*4AF^K?~N!RGro7>Dp{6=Fo0RB6M@;F*gUCzR6|^HJfZt0zEd4^R!hKw078JZX9$9 z84@cs#u{yA6%$!$N+NU{w=F&EmvKqRF`5rLDT4xNnKZQq};CUlSI| zj=q&Ey9L=Xc{_|N>5kZzkX*}q^#xNB;bV1hc#u76)PhxmRpWGw z)i1S042sqKXn}a7d7=}8^)qcY6tI45N+NWy=5EX9v1$rOZxQUStvHd|y~~eP<75og zv^8OkN9ILsmqR$XWDW&xX|-6jX>*|lZjMMa&`}-GB~<_EpIR)Hx|&2 zAGKgv7{S%rf(I>ZOQNxiRn56o%{i^!3(h4J-dw^t+8ilpE;l6+I+|zpM7GoAhg9~k z2{tweHNYVwd0wQM>&hg*AJD+L7}LwO#Se;US2SiF_V~A4{%Jcq@sCam&&{ia^b&2R z6j=A0k_a8v*=|227U|Ds6On;z!cN!pQ5vLS$gbBGEhuEOEB%w0MZ8&pHx-{@Z4MNC zj+l}N9iKDn;uF~dzs^VPNCJ2CW$Z|*P=i?DT#VtJ+TsVr@HKTYge$iU7O>%3nAo>c z1r^lyYO|z(`fgJap@Vw*f$ZVJQQXxiMw1!a#vD6VP%)}Xv-gaeZMOl^GmwvHiyRcl z#nHUvSq$%(XUosCM8InhAJ%3^0r5do5}|`w=Q>>9)J&b<8Kj?Tixd>3K-cB|i}vRg zP@XX*5jrRhFT(Xf(=ZhSG<9uQV*`!ra$B^SP+*#5N+NWa7LyMTRCcr%asRT&mb1^s z0t4T0j7_~47t^VjzaJSS1B16hTj-#r>onopgSobHR@`EaEo|s@1jkDKXKC}IV0e}( ziO?}TqalXNgoCbF#4g1BCII3Cm%JSdKl1~`%*ub4$lD?q+Zn;8YjJ*Ff=2XYhK zso{Dadnh(A=(-&q!~JSwC&vabq^+=^2GAp~|8XT2JsQ1R*c1yXYICbtNY0c*=oVsl zfzx}m1qzB_oeP{4MBb(Sbp?^XFeMQ>A~SZ=wJW&aj5c2G6D_B|s;!rR%hf~LLIp)- zW)!>l1y>jtScA-!g3ANi-&b(?J5v&YaWOur-%;^CyAP{nv6_LL@+(8~&)V_?g=CuN zadwdTQSkVo_Qw@GzAs3;DyQaYfn)%Vfk5=)JYQGpPIalCMX?yo2d7J?39!NTN28$xy zuGh70xsK&->grBpn1m zF0M|X<2@s&y{?Sr1+W$ai@kd;usr*REq(wNm%>z`pjh;HQ`LGds9rHG6kZMU2QCyR z+u6bE4`w4cc?*-r3K-2?uZv`gak9rqUn(O`ci9;`*AEwM%Ojg}Df=*zV*MfkpL#;;B8FD)T{hmB~1HcCN_=yGhyx1b|f4>sM4*?p-ZOUi7yDzf@WLrBOPqRoS> zA<-wSO|1?L&es+~sXW)3k_g?@X70`P$11BSwZI{51{7%CU`ir%XqNQ2+lyj-*dp3rDlLYw|UV0s-?dd~ekj zJt%y%x|*=W))T?ItkRix%jI1yYByNI_l3(xr+_m&JucwB_!NT;Jm zdeCwG5LP$-CFNJPl)u$hYEVm=Mr*d@a;dRj#7}B}TrrA|o013}jteeJ4o7xz4|jj1 zBZRGm*Tf=wb7<<}urh)^9+u+|ys?PoB=)j{8?aO9;hLR>W2D7UKdr5*pipnXI^l4g zP9H?Y{3?q|oo=!P7F9IREUH>pd|R7Q#Vr2Oltk!ev82it++7RHB6RvNmg5^TW2u3f zfoH%x4D%nfMGp$|5*%f&bm(2)tt!?n!MX&)TS)x9Hb)AcFPM@D9nY>nct&>Y@b|rf zXJb?&=Y_SZ)fEU;E0t0U>Z#gHDZtJ*B@sHXleft!bw6<4YX)Ykwg5qkTMN#{@ua@0 z`5x`BDw=<-DT&ZE-*q7k@X!^O^Fv}%h+9YbCYJ8E`*JnInc&$NxumuNf+Dvx+RqZW zZ6Zq`8a+8R;!2=YmbNxm3bK8sBtl1a{eJss4jxT0Bqi6Uhf@U+#%9F0oq(gkNDMH$ zuuBz@mne0w>6j=n{v~ZS1;u{@s#GbbxGqe}NqbLOPFziZ%h&y;(0FI+acxEwleoo{ zMCc~5V+nuJ}5rD~lWol`JW;I89@mK{)b@DN7t`*z4 z+muA;w)0xqQ1B$z7;BWV5@RcQLR(outz@Iys0e9KM!oX5Hm{0pJZ4JbzoTuusI9D^ zwlOi9N}Qwi5`U}xK?UIFOi6?e@Vvc)1v-%8&TkLKaizDIwQ+F>Rg{RIf565jv_C?yInKaFj>x;BcX~IPl%H)!T%gh#Yh5ftI& z*f#2uMGVG0Sx#6zAJb+{0s3ZB694spzDHXXL4l^O&`P!T{fPDl75F}AN+NXlmL4FN z7Sa=#*u^&_is}(K*G6lLtE%Pxs+x5LjeJ}_zoo5$ps<~V6H0JRA$@?c45Em#40PRg zMFxqCx4`fXZMGC}ziLV%bZ|8*(y>><&ugn9D9BVcSE*(5H`*Um;Ct4TMCkBE_a4o_ z{Z<0AohXX+7k>R+-at9HJkDJg*3jjQX!d9ZPP7u@j)(@UxGI#hwHZ>NoMB2LbSRhh zBzT8jE(a*x1yE7b7IHDTN5Hgp-o|#GK|i1x`54v>+A0WI0?&%ZgbbEVGN6L3a%t{Yh z%j&w=-F=%h)xeYP&S7UE7Q=bh@A&tfA$R>s_Qdw;mdN2^CazwqUG=_NCY`-ZLG5g2 zlm^F8jkVIMFe9zOYqt-X>cZRV`vy}Ie{zF*$4N4%_nB&-o&3{e%tBU3yH6;~GdqNKouoc-XJ9MDxptQ?pAgt!Q#( zPohDy`(|zC6u_@HB~c5w&Tvk0;hi7<#5vS*8j$d~xJQsMm~A62;1*{OT*EYU_v18j zd1CBTY5QexR})#aW*uCRX9ud5z?HMn@J7BrmFQ>3y1U@(1o6s=Q(s%>q#z2L?cZy| zTHkC*E2Sy1Ogx#*Ww4XDoLnry^A@Z=tNks-3hx&r8mhnRzH|(G_h|b8ISv96 zK2?_L{LY&FuC}xRHCuwKTjEI!Yl$ZdJSob4O8fJQvY!}T*$s8=+z9iknuNmQt#lT3 ztkDl*UTCg+Cw1l4Lf$yJ&ad&t$yo6(X-ghd@pEz1h_7s~;ZRloi`q;m>i?}N39qhu z&Xj~#VM^k^9?*ZUt%{&PH#kH3S?v!h@ZE1pB6RpP4nX*3+BEWUjr;$!RS*=mF&&)v zCvCPAaKB?pB6M)4QbT!hES~L4;Q~`1e*T{rq6x1Jt2f&w8b!zDM5@r6RT!uJWd((o z|G!0{bE}<89lZKfn%J>{=zp!`*3 zR(@7n1byY#Ih>W&{;Z<>lqrcx0#X%UHMC? zeWuIBA`T^q<*ig954TQk)$9jHBOjNX&uFV4D0pXymYrmfj!hGlgH;J!jF^XC zriu&_8L!#@TWz)!a6f5EB6M&&_ZE`ySuf8d=j^&SBQ{FJuzgQkxS+7jiDrpA_q4Ic zor2NR+B_&2ecO~o=ornZ+;(yiUB7{Xhz*mu)R4cpHB7}Qy`n8%P?Y9+x1S`LKkOS2 z{3$T~L7NE$rr(>A2py(ZeKIM!F|3hL1Lq78?GGyOooY%Vbods#y=zo6_K{cy>or)3 zMg4=pkh{^%H#iNFfy>^7+Cm2{d(ldN+~vCB@yO#^DTZ6M`B8A}F(nZ?j)9Kl`+y9T zgOR*OTkN1n8Xn|NYBQujX`7M=9ZHP@`9453@-eKpX{#V8tYbRJU(#kv0r$8miO|8- z+ivc|S1&6={3&fk1ci94JJs*i=1f8PW2PiRM_DXX$Fp>e9FG17|0+jQg(SR3^A%*g zV-g#V{hit1*%;lYv=tB(U0&aIC16i0Bmw+F%S+V6rdX0d!s3k_pU~z?LH2P|5}_k| z#_pOu&|-_I*zX#t9NqAv8Y~MV`jWQbK@nYo3pD-Pnmx{W*DGy)SJ8Y?noJGe;%SKc6a7=c7~z<&wKk(7PZ5Av8OG4`iz3Tt4q z9{cK8PT`oD<)q_#Qcem=IeizV2r-rNy-=G^#UkdJk_g=*I`?6J7CFMllmpCyPCAH_ zR=$?FQ6k21i?(n<%kZ2i+{}60RZfVhrFN4x4+=&Xn34z`qf@ubT}3e*J{YEheh2u} z3GS=H&8a@9PLP%n>(>@FC}NAE?hYuyD;?z<{eIDeHY*BnF;fzu12#nLtChz5aDKNx}(6)l~U=AXn$Y9<(Mgn&~Z6^dk$L}?Mxv(OmpIiNInj8MfK+z zZ_RjA{-LWCGWx|gAa4EksJipTxCn!9)+#UQ3#D*Hf@x1oO6*zulN+NVP&OeBwf9}9w zH<^(o;s5#wd=&* z7HJwH@N|HXQ6lLL`sZr1sTjj-Qxc&Y!w$9I;_em0t}$GQY$Z}S@t%hldfW>q_X^<$ zj48M0Vwr2;{iW_c_>)MNjb)>@3WL@M7uD${xm(imR*eeWAB15Y78I5=$5D{8HXHhy5@~8-G&h(WZwt`b*QvBFfl* zQ(JjKvEPcro;a>a(pwejacO)-_)6~yUSmjjOKiCF%dQ&C*R>f|4CX7QBtkcs+1rab zK%c{otxRgLSa)|_gES21ziEpW6wXde$O+yswyEY#DbfF`&4L2ZuS`jV4p94Lx!B+! zm0Wmlsl5=O_D6L|wb#aW|L3TnueyP2-+1y1o5ivY5*!V#CWKJ;nYa{E@7xIp-HV z8^ib^Z3P5{u?w3uSOT%JRZ4)KCQD$&ga8%&DCMe`<3G#|;SSSYm71?O^HK==$N3~g04B$(qBtkcU_WgD~ zl_;WQi&=PoQ(5~XL-uQJVS+-|fo(O+4WFx03*#@fzpY^LGgA_wW6^pbMH?I=@mRjb zMq%cbu!av)qjE>0;6teor)hs!fuPNlMCcHpO|!A3G}DhUb`Gw1G5>(QYqU<2 z&8O5WwoaU!!8%u4;Gjk3bkUh~Ip!G?>_V&NSV3^LHa7}_=a`ZR9l`nP=x<*x+n2Tn zYW7@=mXJ}qLR-k7s4b{7qQf>c=2F4ya&0~oye=^%5jtL-+fzgCjHheH%A#+hM2yp$ zwS^0c(;QsWK-`Hb$!hKtjIP(_LBVL)ltkzl&E6c#r{eHdjUD&s6rxuZIdJJ#e_x?N z8b;`Ev_%VwP-nD{c%!4DN$S*rH!FW6q4pf^)Mh~e=)I;SLI-FOHCupWStJ(Ojx&ew zf(X2N(*5uuUPuo3kvdUghV0AQ!UlzG5jR;!5;*&C*k#s=RhU)E)+5@iD9}A@N+NXV zrfrL7GueS*90R$wPO(ydW_W&~El^N+rbp3xsBl!jF#S~f>k1zSMg_T;5Po-vCq0NW_nPo~MbjZ&1=9a|4A6b~#;R^=3 zSjDChRZX`%a4v@OGHvmLLMf&U<@`~;s%s&xFQ9>Xg?|OsgW60fu)fZeMCh=#yW64x zui`zV_D2TkI&EQsg49vj^o$N5aid@{r2TCLi=rus(6Kn9>fRtKUJOYD7c2DHIL33t z&K2y0zxNj`3*+`aZNY=$wj^40IS{pI44;K@e=^f)991X)pD|Ye<9f{-U;Og5tfpvP;C1 z&8mpT-o9};kSiMexI;9xFh8WtpaTB`rX)g#e}2V3)0QmVmxa4Y+!F1_c(jBJcs8m4>$*=-mk*u-}z0T>d$=Vz$=r@^?2p#>?M?t$@&nQ58 z##^*1!g$jz# zOkWvefYff!JGH;B;PQ4;5~1U=NW~>0d@=2#O+~w!Bc~P+YoGFRWv0FPjcB18@d4y39S(*}Itbe4foS;~rdjhOQOGtAKCp3OmQ7RP_cd z*_?08(x~2^sLh{(`zfX*LdSg;HpYnCrbT5U9^%5{Ld$olMip-3vqk1?=L|mzzon6|W zS76y;N+Lv9x*T!EYg-Ryat^03MM^BWv+94P2svXya%aN}$)!~!i)VTtGO53|H$=kVn_dwEt?*%*4 zebA1@an!!Qd$)Mn!W|gJ6WMt8E$3T7x`}kvn&qj%;Y?rIIRt7KFD{-ZuWV+O z=-kK})IhtUXtQwUNx)-y8n%Y~kvdK_2Tk?$=1J~V)B~m@LNr^p+WA%YYWEyCu(#2@ z+NIGFvR!>pTgaf`Er{mm_HWTG!@aHfY}NTTwVL@GZ9bH0=1x-*q2tvhZq0JLWb#&Y z?=JMnwl@~*t(6DQ##nw;TLD3_?BbiXAc5$9F|bv~6)P9Js=$6(n<)j@M@&hC4(uYV z5%94S7hEoxIOkAI7itH~CrHd7KC3NkP!La}dH)KxJ|LM}sd#U&{0nVf6zqO#N+NXZ zW(n6N6_wO0fc29wPBShHYp^q$9huZ}rl8ZI&4Gf>R8tb6qf=A&?V<*xs+kK|WsZ`K zQCzF7fS{$Vrpl~s0j*K0%vIV?&c*bY;%uPDOy_m{+irSvI2-w~o*uKE zz4RFGY^Fz(vx6QJoptn>;#^3N7U#9}81L-jms{vD$+?JM_R!;EXAeDg7EA3UMBa|G zCu$)>X$l-b7E-hmT*Q-$cb;;r>@4U;j#GA?a!c8{Kn8c7a%l`@2cA;9@+uxWq!@@q&wMIXE5+ zy^n(v5PVn$1#i!BWFp?rSuQd*A-I8qlMuX01}Sy1G&!D(4Wc1CM}BYuKKN`s^iT1|r8E)EjAyE#bgW@S+5{Z5V$?_c5|@&0oT z67L;z1v%nP5iWC4r21WB@h3pq#@kmev+z#SYU+x?Ub3fe#8h|iGMNYN)l^cZPrvJm|(GAQzW z*o_cR-{A-;<&PXBJwz9XtfYsFI7oUJ;2`PYe{m3c@X%ZxJ(8GN7uU%;^<=>p>Kav21TOh-3TRGa;hLoTwN%GB2n6nP@+5B2-)VR-3Zy{ zPdGx7v@8;oV0n1I+>KE7UXBpfH_0F+@&rCt3Ooe@|Cmxt5dycKCW0jJ3J#LM`(;pk z=Peu|89yL{;{B5xA+cVRLGk|7h#=V{s>{u8gv82ogd}+<2Z`SYI7sIB3^q^r)wBI|^m#M6ZwA?eZ_B!TYW zAaVL>4icwN%b+0nvKt|ii=%>MvmkkZBM_)qni5aLdxr1=Cz+oL<~J`z@~OnUC*1k+ z_cr`~4^e0n!adGG67B^Kl5h*o5DAFuO&lby`(#k?cdHvA{yxhQlIOcJC=#_U5p+m6 zO9sXJ{ceOZA9W+7ulKkSm}arm;x@-CB=_y$e)bd)Z5Q01D}#dQm2QNHzKtU!*C%99 zBznS)P@>Z{!6M$lJro^m5Ch)kX;sF5-) z4w5qWbC8sIl!K(Q_i&K3^e_j>SbxkxGS=2ML5yn16&$1*@)8bG4S6jGsfK(X2dRd9 zgoCIQou6@V8iMWZg4lEfS8;F#*-1s!Zr7&+sxDE24x#E#a*!1IBnL^hmpDkWMLI-U zl5MjL3XSJEB1$C(NzlKOL6PJa93iROrU@#js-eV{ZiK*!bAVP>NG>l%0(vo$)QgeGUW{b-Vx$BwM%wUVq!uqm`tf3boFE71GKu1eXdrDLDsXh$t`g{7aN9?i} z-)yI|M-gvIB`~N)pcNh|;8276vU^I+SU<|d29QN8740c?r1H2psw&O#QcEwEp3;e& zohctGm)d$`nQUf@_omoaYR>jKSc4KKegItV9LE(#rr)M()JURcG(8kW#Bq~Mj;Gka zkr0I6qT-YA89saw%=&VC&iM#JeuX$6!>c{c$LVjWMF_t) zw|5Wxd9_L`XU!1RW7_jtDW23n@p0kjI6LBSOUE zLc-%hz!4$eNUInhX$`7jQmoRbp7ZZbq`Mn!Kf{y9Ma*NJgezkNT`C>XY*Dju}suo%wj#h-B*l zktnh+)^FFPxS)!nkI7n=OEdQk7m{!`>0^?*x>Kl@@*og;m&!-;Jp&(bW(pP&BVHxL zh@DQc#qu}TN=i)_6`;1D3TR?Kd=ZgJl$zpLji+E~66(=`7}rZ=?zeF<$AgMF9#qWn zpkj^(6>~hOnBzgk91kkycu+CNgNivGRLt?9VvYwDb3CY+<3Yt74=Uz(Q29nXQ$5#+ zw^XF@b`oz3Ktse5UAXac@1lS2Mk$|^8UPUaa;a4sWf301(Sg~Ho&r^Imt<0J+?t9P zxXrn(jQT#27TpL40zH-5w&IeTbT*ct9C=PwngNFw{WRIwE6Dd2b170(3sttgvY{)r zqE_#PkAs3eM1`!>Ixw6s&zG?2{<#B$g4!U~4V$4k>83Y_}%;zN9!MZTQeTbhxe>Z=!9O0q{$%0z)3 zDNV0_n;(qD?ed5}X#%35xf?0Xt@;K0k4WMLrPI{>eN=wK6}nTOGVpmXqCd$8ZE5!61#KFmfJ05nxv&P$ZG z9WQ$mb{bP%uywrsBfXt=6wdkby*LEfi(7Mw1-rcSQM7%XnLemebZip{*zw*$h$=cd zbMccS^pBG7OuqZ}(o7^F)B$O}_b6>WfHHxRAZo`2Tds|8^C3#x z0H)#W@`XL$*)Z|hw|#S{)SN43_|>L~cinQ)TVCE*ngrpK*+e-RE4Ac{@i;EH#IalS zVQjkDrZ=61S-ru0b4{=4GIx`jyK!A1j)UgA-7z)l@_v*qYTc>1xE3Wtu==~JpMKD} zj$)g7l8e4F_eZaBuBX~1=G=hCapz6=Te>0~o>oYvs1mAXs;T*kSMHZg?fvp2m)-F8 zOJ6;v&XG(}mFQ!t<#)GTE}1%G$&8o2^2&-=kExZCDXO4-OtpSvNQQw)W%o-^1grj;;$a6W(s{9YFT_aX03l=gA`-qxTha}e!~x{ zb4V);r)0QNP&4P_Y4)S{{e|Rd&g#<-to?qi6x1U6a&*4+eoN+PI{wwW-nntyt0u)7 zi3K&!KAz?r_(G@Tsresgyyf=IJ}E-g>{`ha^%eX)-P`sp=4s<|`(O9_kI%UARnybC zk|*l8_;{Lo-shf>JpHlvuAh9g=;H}COMM)Fj`u$ll{sFx>7#4TZug;$9Mm21<(PNX z?{Ae@G-b}2`^*nF)sfo{rLL`BB$6tiZkmt11)DBxmFz8C|Jny1d*#kL>|J@1*{jTG zORlKb=;!Lsp8bwg^RK@B`QP0#>{GKe;MmFK3LS%7JcWLc=$EdRtWi(a&)O4bUnN=l z^~8I>*0syW8Z3Z1y}ld^SHJfkWRB+_Sf762oi|pi7&&O*>(BA|(l2C=mmhz+52tKv za!?oAm*do1u06&%HcfKoJ+kuHL)AH?!Y)6#3iIiS2IxMH7WIGO63Nlz)297o?ff7Q+?mzbq=2GOTZWyDRF5IKxy4LAFl1VIgii5-G8ZPG^n?+Y> zpY7zc=$3a@Cv{>+V)=M3HCPbc{h@;BFJb0L3L47m}^;9xj_56r^Ai~5l0#f#2nfqK(ozD;b(;t@@6Wt=v< z`Yky($rQ3V8vd6SRR2Q5o&>t{Rlm=`F*S_md*gZhmzq0XTG*G(Uek+%5(73gn1@pk cT(4dA`*a#_r4*Ef@d!Q?x`? zwY9h9qOGDERaN!AU9}Z`->O`@a0~Ja^`tIm_>yIWx~ZPilX4oV)Fq zyMi!6c5||JU46UNVzSs=4j106PWPU5r4ScB{QC&SWuIj8>P)p;;^z+0=|K&1p9~G#56l2F+-**)@~Z=@3+% z!ECge%`U6eWs}@yquru8P?2a_QI=-6Ic!eNDya^m(`2_gT^6ZHXP9F#nq78>Lvt#+ z)#!4$OlGsyEZHqayVGv5n>D8thE#{cYIc}Rf~rGP&`+n$?ip-1+Fe$=)#dP7VzRhw zW}8iuvaCpTTI`y`quOq?xXg3R$ROOb8k|P6#o}~nE}_d}uo}@TlgsW@emIN{hgs7c zlB($hw+*4jPB|Fev^gw-T@JRPET_q8wJS>yP|fOa`XIx$)vnoGPWv3mZZ?`74wv0* z@_LP9QI|!!iK<){m&<0cNr(jC7R`xdhtj1PEoPfjaCl@nT{ahbtpK$c9X6}Yfn9>C z6YN#d3W`)&kvdCy6+2nFqF`7!X&FC;`7PHGCArhl)C|kp1kh(OZ8OaWd zLvh;$)#OlaY8V~6)nV0~W(kpiOtUzh7PDEz!-{U0OwKtrGo}N!H3MRXX`!J+Dcg)$ z=Q2A`A~tP0gWc$|+cb1jjn<4N%p%QdQQ;9y2exEVS`9Ar+KGPKM69hMQB0aiWT6*e zbjx9NxLjWR9q6PBVUns5QO#yTuRVY}P&j&GwhOO?UlyCigaKBw#fEvMIUP=y$^^_C z^bs>!3`W%mu$YdTL%F3HofeDDgeXf@b1=Aeht-DjMYe558%`vP-7dLx2#O7}(1Z|6 zGEPOO6G8CI2b_91%h6b6i4~L3B689qHse&(ObEJ)mc?jsxaMFE%b99H zL(O)RO+$5F!_gFn*zXh8UZqoziQ&$&77p7P=5^ z3nr>`1E-?hWy7>{DEzSq*w6`0kwuyzrvq_OUOSDLQdSdYgVbd~5KJZ;76vH{Qx+4} zf|d)ah_xMkv|>Gz+!#CyI%bm7!-{}9>^SjUirX;9WyJC!QbQIu9Zq`<<8Cs^(E=2^ z+39j&CP`fgp#vuy))m>b<7`2%oi?Ewivp%F&RWfERY{5E3QLS#^FU@XI-ORW#vV*C zZ_Kti2*1o|S&$}85}s-teF2!Rm>10 ztHt8NczXaanPJGC!yrR5oR*Z?u5RA`r*9ZdD}jNC(OjRT0Y#mIa)G zYE_&15eaqZSMCoXb;RG;x+@cD2loqi$$SDMLuq3;5kk9EmC~xxkgC$qs?xBk(z;cp z^{Pt4t4brPN_D$S^);7B3hcV9*I*Iw22gxi&xu`i^!&sBd-xyvy7a5Q)wSEYz?DLM zXGplB&wz!G5(Zap>cicISM_rVxdr5`J_*`g(;LWNkZ?_ZgLdr-^=|6h>AH5+#Y~Db z$8cyu*ok8%PAC~aZt4ufeLa%|*6YBa2_6gnUjO{$OixOj)#9I0dtBxMf7Th1`+tFEmdm0AWqr=FUZ|NIH;*Y6g zOQsqSWg%YS1QT!R$I&JJ!8t*LTNwYhcm~+~e=sRM7#)dQFMU*_e@=rYutUdmjXVA` zwYd-VEq+7$2N~MrAM+=`$p3{Q&_IzA1KZx8aw2&R50^}xJZ@AOBIgh7|HtXWm^=W9 zC-jYF#`;1Z&==_!I<_v3`pEAjI==jecEbJIj>P1C=uf>yA})$_Yg+zGKS&Jco#4c6 zy^frNZ*J>X)0_QZUK17zHGk=oDM^Ot3Z_BpJIHVoI^EHy2nHbuYVP2iI0uKqSu-#( z)^L@MzYFIh_EGErDMgicR}ibh<6cfyzs`;LUMY()xm;@M!PZFO0h zmnq?#elT4ZK&KOvVMLFR*2wUmdThOD3d7mtkT~xQm5`pLZ+R@A-_=i1P}bG4Yvh=M z5*0Ln23fozyxoM^>AxgGP@_i}j=@$v>rRh(pyA91jT^)D2BDWc8eW`!zXlAJ4QAG7 zHRMh}#IA1QooU^a>co#VSkjQ`=pBEo{>IlLm`_Ft`A>cyZiYW`us3rsN==mm2O`-( zhzY^`kp5t^h*%)9IZJ}!jhNn(NN$W#|ak1aq6P$+RMvBqNgq*-hDcir$B(hjooq+}ei4SS)p32v9dw1tL-djd7P5STsQf#K+77 zJn;JaRWv(5NPDP_MQhuq!rL9#OP(g)PIhBausViS-`7?409$)sm#ZV&Cj`hDa>EbR zIk%}3YeXVOrphWdBDH$gzdABH%7$1UX>HaWk0!zoD}xS#!Q?XtDokuk#Ak}~X)2uTjrAaAmtTNTu#}#bqLcJr`3dd> z3u{QpMP=$msMOdFe@g;gWMeCXyWFvM)`HNB$_Jiw&o3{v`sBXGu*$*ihIdGl&_=_d zKCB&_sY}CoPRH)vTy2}?{>;e+P|_U|voXls)7(itm`3miL@o+3vp`l^{*Uxz=W#bF zxZ$DRtYP(z2kS#kFIE?B#bY)Ng6x5q?KQn|`lh78nNZph?=sJksS_C!OplyLItzOC zZ%*>4pM(mw_GaS*MQlbB5?E)lFo^tW0&@ukB78hA&`Ni7B9>#aNjRKA+onmYJM?9a zaJPbDw-D3~c80UMY-#`!)hEAc3VZspJLEkvHi^$)8%PyvU(;l^I{e>C%qc0Rx~3|O zFFzc}D8%Sf*juDlih+n!#KL1omsBq49MmlX&;%|taw`8Ja|@m~Gwr)?m95pPSo_Lp^O8+LXZ#5&(6Z_yyO_P(yy2eTA-WiT7$ z?}v)!AyHr-!WIYgWj)WNmG$#jKHYX79*Z8)#~`ml?7w+TqlfO}7&;Ue5TCEoxsZHT zBD#FeeIMkU*oUD=Svz_TQ{lxK=Pn$^7zqzams5^F?KsbrV`r;;p}gzfSin9dv_ZN8 zHyxmez3gvF{f`W13;bPR&L>geDrV35`y`ug1kQp6>98wYZ`KE@m^Xq=C%E#V1xe6z zBwBd4zsjJ(k+>AB5{4fR=!MlLgHFJ}(><2yf z++o1OSlDabLmy`S3BBeK{LTbcNN;-tr%yyFNResc<$#H-KW#8TsTLgM8nm0lS|Ovv z=Nc4GVh@X9a*gjgKy0piiMDhX@4`Z+rJ21GxYm8Bf;mHIp8;w|9bbts)}l0A#|kT1 z1445Lh>%p9Ry2aE^H|I3!WAvVkIuAkfSkXv)6k4ua7<$bf;aoO*06ILYfUExk@-0H2z{HsNmt?rV<<;GlLEM(X&Z%uMK(0iF%` z0l!nyekhs6dPKZ4KqmcL1JtrN`M-Xy%_xP?qiQ^x&n$jWOtaZ`Lcf--gK;lDt^7Ej zC18izTYn8t&Sg6UUDP4G2|FjuW9>Xc{sAqTA<@d1kM@5J`SV$#hZhnS@L1Z!PsVaJ^%Hu2yzI_}kTesjra?$eG{LB-~L3;<$t4Ej~5X%C@RY?pn@Xg#= zRqT8{nwudpgjtI)=~VRL`9&-(qAWwAH!1@nHxV*FPM@FfF)VPOUB%WAx+X)-CwLC$)5Z+7U;US#Zw-*uY$90$ z6{~Tdv<6nL#-g$&!&m#rLD;#D^+w8|HOwX`-lc_{@>1%p#XY`~AQ(iLURcW(`GpRA z9(NaBOBOwka&G*CC97UwGd-%Shkp`FbWpLL^%mpAhTbdLu@0YxJO*OUM8KkTtUZaA zyr}W&I$W595m>rX*W=DX^HO%L$0w@=8M4&;wVoXh@1H4Q$E{io?&6SwYq$G>4QwVM zLtw*;I7Jp@sInQdk$pqx=uC-im}Wv}7dHV~7sExcpawV?PcSTQ-Y2aMQ`IUg|)4jyND@cwr8Bk2Ik4&ri* zeM{ErG6mE>tkt!Gw4H2!MD9QtnQS4bBWpC?rzq3iYZu!~Y4Jc=6sJs!p;+5pOCBU(bTXzE~~?e2$B0VwUj0{Sf{p;l~xjF`=syn>@rP{)l_$Db^vJ z{19NpX=MeZotA3`>d$v?Kh4r~^t#80uRTT_QAW5|pTmR-mf57gfRSmM4b3kw1Ju33EKn|bj%3NT|CtMHHX&&+?=sfjG>E&z zws=}JEn8+oNgfROzR{YU|ja0A^vknLR-+2Iy8Z?KhI_v#xg zi;!=Hq$KEe6WM2G%OXACCi{Y1P?pw|l6K@b7;y`iq6<)Si}mqRXgU2S`<_q(@@3$W=H0(AXFO`!++p1#EIAS|Q;yoe&^>-D-RS*c zN_*va&IG>mlcb%y_wZ(fX6DGn;R50B(7YTO`vW0dPcq>=_V@_ z@j(B2{Broa%IkL^A)H&tewY%@(<6?n&SMG+uEqM)@6VA>$$0D-a7z4jj@;9-oIp15 zxNOq%^YpxeMee??DZ}D9!g3xqG9D|)zO8Inu0+j4PUCzNl2sWr)JMaWc6Xopd^4eK za@AfcuA!m`g&7U`HzW?0wd8G}UnC!hZ@DHl;=O5HE_@Nmv%Dl>3(g-eX;&jY+C!?& z=u;0qJ*;m}3Vr07#@r|*h)}GGlFHP>dWR_f6s46OJ1#Z#+rgXhrV%T5*UC3`b)Z8t z-YMd#T$x{0xiY`_@+J;%Og*5!+>D>1)gEbYH}^|B-JBmJ8--UnWGh^4!FyxN)RGSp zXX~E+cV$1_m<#fN7VqMKmW>Kf0;E>o0$y#!e{kI~wT0^(!^Nmi#=DzPTYkzp$uZC=tHG7&YQyM3s>)ou7XX8ze6SbqDNq*mIAW2rys2mPE1lk|A~>rPV+>F;h=jqG1e~9phJZVP7vt&bujyDJ zgI_seV5I&7iHLm)e4NO;)0819*s)1yQ>P)`+P@hR?&+i9CS$wRuZw+n6EaSik;E;} z`%FN6*?qa2%uxF9MMo@|FSYQb_k3J4hQKyGGg7?E)h>X90_3r1(`5cEC2N&}oL_uH zk^XBc?-{-geZ^Y1Mab?Zk7P$iy1YOryWI=Y_%uTH2^kr}7qMQ9O2^4^R9KgT4@ts( zHow?6@F+YnfX^gHS7l%jJW>W_2q_n&B~X8$gheH?aUfq$$nAfEmWJlZw4O5vp}h_B zvUwl8?HYv1dmGMY^DUkhy^RnwrBU!{4)2J4!YA*f;JkeC3u z(L(MogZPu!S1}mn4h>=#g+OQ*$LTL_^Fg3+az8SJFC%nP9vm8pPi@_XV%B0qo_)<% zVjAS5Ym=Z=KCkxjkvv(n&*k%6?2?bf;;Rz6&OZYCg<_N?Yl@-3lV+Ih2?hLI#Cv%% zu7~pEQ{e0W^4WF3J+hF$K)-&0CpsyJ{Ki9A)O~t^B;c`n!}0u4 z?1MwSxEbCVj}=3K=>B0m-$>|kq^!a-sGs~!xDmh!guW>4Coe+jBs3jc!lrj8;llPN zoT&BEjA7&Bppc z=P1Se#kM`YkRV+w&L`*c`h+gQ1|A77fzbK9LbSYDLpBIyy^#|6IPc--t9YDm3u;9{ z-V?l;cc{oH@}V5cmI&WGpFBZA6?cN8iub*5@S9bb8B6ljwzOZMk-~}OC(#7@bH1FR zYjInvH$A9jJmW(R zCOyMTaL=E;lqa#X`~CXB@GKU$_+jFq1XqSN&+=9@d6?QWU3eBVAs%i#i(8BMVJZ?c z7Al#-%GC>b6&*gz7e_iq*|KyInmQa0digjc!=ah_Hq`@0wx^E|(%3Aj;>S%Ly&C0MfpD}hJxz7>3J#N}afmRuaBs@jBc`LS&g8FkY>)M^^Lsl*SgwdKp^) zlb+`zu^AvQzCeBHl(7NjA?2wTc&dMZtS;f}aP9ERkhSlJby)kbPs|HhE=S%c=gfNE zEnrae4SXe+T*Dvn4w6-S_I-o$H}IRtpxn^{-H~&1ef-QbAre6Z-2n~ONr zjct(@*em^9yTjur7T33S@QV>Sh0^}4LRnnrC-(B@c?O)_$t&sbLfn0{g=xERhK(tN z$m2TPX79quJRC0U;twMoYCqGN;n~*_n2bUR;I`NKG&;9Xt@+Ex28cAj&l|g+e1ktn z=u#m#8$$N-g!)T`5#A3!qpHcsC^)s7#|R!#d6z=#Jv;?l(qVXQA3ohJg+KQ2GC#*W zHzxNdg)$3%*oQNDDfHdT2YML9O{|Td?B!FClCTdSXMgrHBUyli3M5GJ`*A$JViCp` z?#E(B>l9U+`*cvJ8xc@)1m~RVZA7w8kvsWq9!~Lx8anp?_6isf-2`rWMI@ z58oX^*pVO#+h2!xS$KgOo9`dH=CE(9`<=u50Yb+Vsf;`u+uIv$kBENn^H$+Al!$45 z5v$+#i+KBe-1pO}BDpDpMIZX~ySIMGA0l*Rk*ou@BX~}PA8Q@K#c3sMID$!y6cNpp zaOnuHkE$hZA~2_p;yz|2+J)OEw&8xWQa|SB!;dMmj{40iKc>t==ik_3Dkt>IBJs&Y z>*_}=Evg4t`jInGah#9A?&>?1Vd5rUG2!hotJBL1J3qxba#t{>R6n9c!6(P@Bf&3) zE>A*MAJUpv@6}?&2$>$2PI%D381v8gHxV6&%NWND7cu7TkNC`w9`5dNl6NNX72O9!7u8J3{RjJg)lchA=qrIf}9jhhv}PIT_xi{Mb|289iL?P%=;P4+tGRTm&qM zT?vpZi{K;w<_!rg8}8qdOn^f_aIHmB(*$p5%Y=2_$u$vn{hLpM^fIcPlCGwnjpA@u5%(Vw zTYL}ap?q=%%f%_>GJmm7q8A05zhB-~jQP|QzPZfXkuC7&W%On%w79~%(03GN*cA-c7MOK~+giR>T&K>$$Y~QN zmyViPIbmwt!{a7YPA!|VqWo<*c7=DXn~wDIWcTeWxRspqAN=yUyjEO>;TL!1dE(Lv zzpN^6E-ttGM^2fy`9p5gNr;1B2d{I>1LtH)(m&4*R9bcW4 zSBi@p55mje6qieQ7Fzy`xWwRDLwWQN!T1(FGnVfamo(f0mnVx$e_RI2Q^chc&cE^) zacPT*Qr=2j5`_o7@KU)jVnWHoWm9KNLjUmJ1Ip8(-gP_=_`)4~9ifumWlGO7rB|8K zqfF^drt~CJdXXtT$duM+O3O2))tS=bOlfVVG&EBhnJEp-l*VOB!!o5&nU!N(2s4t= zwy{0S-A8}JS~f?*d#n%IEa5#T(3bEP3A81=Z3WsA-n#;A32&`HTf)0Qpe^Ce6lhC$ z69se<-Xr3dgm8I0dcH14qi$9!Zn^7^C z9cHJ)Y*9bmE*o+?sMlh5xNUCw>2i4-zMp2h(`7+r)ikoj;&77=tJP_9JBi!suv=Un zrxLWf&>aUEWVcw&RyPe|cDURw7cp2IF1yX;AQf(p)rRVnoXue|yBx$}wz+I(i-&rx zW~a?e+N|bkvm4#k%r=|ZVb}J&Fqh_`` ztiA}_u+!<$}^ zjRra09{tm5cUQY?gptkSvS1v@I`qS-owB$+X16aS7*>ymcr9*=)2*Skde9K9!Ga0z z(i$*>FugQb9-G}|^?_ltS?oS$Oc=A$hWUpYTyJLOGA?O-gjJnn8($ThBtiE}Ia|iL( z`HAxqhZskQyO2Xqc&ioh(6by(cVoO21C|Xlf=9e=jEGt5z$C#5MuA6j95~&`dYte$ zxz$gL1*KdTXmdb3wF ziXA4q17UVpP`z>J__!o+Q&GD}V{srDyU0geWf9nM@vbr&8owQE&0t84O#i7m@lBuorn?AFwzzf7%}{%ssP z{@&OX6C*1>?N@VdOCs#Q-;@CFHJEZByWZ3ZrZ$*{@XP(+*c@i}UTrYF!nnwUcl)q( z`0i&@Y-kQz32lBg^@glpOgrGlFQ%BV*sfJ6mafT0NVsgWL5p8at9evr&D=HdEDGNL z)zm}XZMZWEqJA@FvQ)^wZt9Jc=YBI42l-;JnC7dyb6X17AU})eswv6GLbQwsSa;Rb zQ}g*ukGp0{f&3oK0I63^#x_xz&6-VQ6GLWCLR!e)4u4@xor#1uTZ$Vz zxj&_c7;`pAhN||$18D|vji>de*w^kdNr6d;ebY($Wx`rS!R)j>&+_DG|t;NrL zHK|NmRV4fK4Ww2sFG%qR0;!85St?siS{qY*Km!8Z3fAY!IM_c>hJ!g9=XJ#`Vixqt zlPy8qB0lGD^@sH37=@IGrctoN+z3(2Kk6Ttd;COy7~M|v!af~}#Y-4x%@2JphgxMZTZj@Va!cBqCu~Y)3KPPr2St z4r9FnLMl8;_`DF$s&@2lqec7_9M&JDn`~dtN+C8{>#$Rhfz8EhGG&zI6--Pl(7x9Z<@be!`!}zJjWbfqL zL>zge<`e9@ox-Rc{o;19kMWBGVD6`^3mX9MC5VlUZVNs)wuRb6u{_vUa}LYlE7SUIUkv*fV zXb&pH>fwFFDqM`uLWOE|xo*=GHB_`+Fc$WdHfl-GsQB$S83p${#4BOzG~?O;Ba}J= z!@z8(c#vUSkd#700w99MhAv%x@ zx$|(EZybd8nKbd2p+TE+VW2ASaJVOu&kyvT>L~_u{wINijdx%lVQ2V5W3n}!xTrqW zr;8tX+bo49HZXdl>w`2w zRpqE`@pRa8TDX>kRSv?1Y^`4{HQ|HB9=s%fi-iV8)GTO1MvZHHm)G(!3?tex05ZYXev@eM&JU0E&B#HP9sN%VXUv>N`%_uvIYEm1f~~Kt;He% zTih*$dBmWg6EQw@|{(-@74>7uKmV@>V==gWkh zJ^4SF%EdiFon(xmLX0N4fUmFo4`0=GiMZ5~QDOF1A(cbBBfMiq3c(DY45CD7XRL_K3?;aIuo!p{zZbz{V);4NA3@K~`h*aenioKU^TiPgbAVrw&Ac(5yc zB+e(g`$Xg23H)Og8OuT28{71gM&fQ#A&TP7+UH zlRiUq!RC=l+}|Oens2Q;vjo=9&-dD75ls}VmS0a69W++~JUL19!QT+RjK!-~%}2pc z1|X^PHvB{U#`yGXJs%UNYE#ve%9<*^;g4qP7$w!?Hf~9_S|}~1c#9v>M`3%Fh*eza zH?VLA3Ci8w5ifR`hETteO;B&o)*IHWfb>>x#XVvW~xXF-huMz;!>?9Dd zrJ}UwK8*NQFxQCo-Y@PGaUrbDs+ky+t=Y6xjhQK0GZqUQ7T})7Y?4!W;$XE45QPvh zKNfmEEJ`&~6bzbeisotmgDGN`n1W1mXJHIu;e}baSt7krtBfp~5C0z$LuQK{p9GH` zO!@TLZ1DpA*0#S^jZs2F)e?B3T38r=U@*l`j@cKmPCEh<=87JMCk9gl9v_S~%4mVJ za}f|N4}Z(VcH2TcPvgIQ*u;KpW^yuz0@M zhHT{DCK&Y?`bR=O+>Qo?uz%zNk*>)DA!R-$r%w;Iq%^`TqIS~E= zruW>SpcnHap(XE?qwD@NYka`rV!daL_}NgZC5v;Yikw}GIaTESVJ!m3C*^G%m18%h5Z)!@5=fp#bF)kcekJ{%j%BO=vC<5)n zead@2k9%J~^P=aG`9f3X(~q!ZWS|O_yAfAH2JBU={cUE3!HwrIZBQ7alO&D?FfPiW zZ3}-v90_ZmOMz&ogi>nup9z&`nlP$_Pue6NV!TT(#6{!N(SKgVh!mmuYO8N}Nt|Ka zh9u>TN?ClcQ{%&HU4#KjUqLu+Fy&>Dj!d-1VH4QA4Ea0jU9VuKpgvlr>R%C7n7$47 zL~YPIRMhKLF}|@Pti5Mn73HccP@y0ByV4_DMCMIm*;{eF@sG1`t8laRN-hltxv^Eu zxQTnqwnkPBd`;W}-Cn~CdD}0t<~3na+NjQ5e+^MbfGpjNY2NpmzZF}6)RvrReE7S4Q#=IbuLO?$NUkXVLY zeGcRF?372zyzDSOvwnhBeIzpYXXu4`ynLz-BY~Z-e}rce*iur_y86>i9JGHy4hrB; zN(}YlatiWe@tz?fpD+*4r<(KE$5>HXd5uRz3x->S@OsgoC*Ayge4P)O`GgqkK8`FI`2noDd!tW?k2x>P*I*%uzmW0jKmQ_RSX~d#cK5e(AoyJ*bSffd+wb3tsDomj(u?sFe8RGIbe2Rsczv?q% zv(JpYb7;n<#%8>6P7E^g{XR306pYzQZHIULfAQg+f0IwM`A(wBo`)2^kbZ)>c4YmY-RRdbF67}Ij<Rr$=NFNq?%Ke`+gUvHx~w&*y=TQ`oF;~x0*YXE0Y&hgUolDpy>-8eaf}xi z=)KFB0ksrm4Pr8N z^ltn^WHa^>H2jHG$fvdNx;VvmAvZqU@OMcMtoaMw+69~b!e@6R1sAuIP3Ti^h!{mD zu=n4ffoNm%%?qsa-Fm7-az8!A5zIS7_a|ZJbaD1(hLo5$g1#T2Tlz!LdCzImFV4g087q zo-gEuu*HRxBTp#%W1vrRNEl3!(!>_PgHmQ2)@btTLhbo=B=H4>jZSfKf22H@8HIs? z7Zg$oINQh{*-nTJmjn4bg|u;67mk{D!sc+9#CI0r%!q>Q*`_Fdya_q)7Wo2_b@~-P z*jTSxn6o0}i;Vq84?Cu|F`0l%LSS^1)LVn2k!b$4LO2^K^Vu~r zjYa;Q>}@aaQYtKcyTIfROz|x7Z#*>}ccdy!({@OU_^^=;`t%{OgIvH_25j#na}Y1W zBO*#hf;CEZ3mZCwFfUYE(-c`98@w4MPq0yNsV$~aT{OW=V&|jfeqJ?%j-Bz`Kj2H} zSj4glddJA2tyT{Gg5JoeBMm?6;-;)h1)Y&&OLJf$%KOKDH5Nnl0*x)-d&1?1SF z(vNpfB+Iebgm=YVpE@&TBm8_DQse+1pK6pHaj6IhDJ^8v{e1sU#eC5ER1-J2Gbw^m zDY6eTo6PdTo5<>9m_6s0?`4rod<@9mV38x(Za;0IH9%7=%7#3f9H4E`j=^=a?1MyI z7_cRf9=2AdrU^Ct&%X#x*#3!!b z2VGv%3v%%e!453`|{EVzj=skiK_7*)Qp zg?`5PK3IYMRz5?$>NYWy#or{Kmo7^KoV)z;y)wwH#un|&XvBCjppuF;s#aLbTXNn0 zS*X$%XJPw(@_6VKgaXbDljC`_B3#tt^y|dgnbJt4n)I%*P&<@07c&ClmxsaLOgWOb zEmEG*t0Wc;OZ%f)ZQ+ytn51o24Zt#leCplY|M$vh7*vIbIEWgE`Qb!WeK4NcSs2gD z!>CMEX334bf05ou=f|>^(5B4Ph36Gf;a@xmQwOQ)b(LxPEiPz34ym<6Wf>XFrY@Kmn6pYg|hl3Dpd$w~P*BUTmBQ<8dl z%-3scW*1=TTm?@Q$cK=u0iQS0;|Cl)QhG}YmEK)iuU!6EBf1wK17BzS5Yl{*@?%={ zUnQve5G*LdTsl-lb>k3REW#~=773yLvf zhhSN;yzM4k7mIPRL1uLr#cm@;bxZk#?dY#@?@(SE2$lEYQn`%rp2Nwyo?tDPrK~5U zkMvhRd>|;tv3f#Wg{<-MsYcoTQ-vI&nG5mlk>W#&9tvAZ-50ksLW)wi|0wyrVd-#+ z;FH5?Gg>wpaa!b^I9jgb{26V^GthmUEXF(1BX*n&=vm}_cbxo`@g2kU`N-#Yp*M?A z3M@+AA3WLJ$0 zZDFdqNfb_1%9Z@ma9zc=O(sdbcGORn_$Hf;pcM!k_3=QTmyA7ms}Yp=TdL4c2EFf= z3w>PbsA8II3v4Q8Kx2vSO(Z^;DyJe@?PvS)o=r%*tFXH1A+@rnuvs=urZJzV-%gXy zGd^;JK5MPJ7iWY9%X|J_S;F{KGM7z-${ASP@J?BMUlr`k^Jv?{0gvG5!}2r3cUtn_BVhY1*~6b1Y_^=kf7aT> z^v%IB$s{;6TRx4zRaN7XjPR%$d%RkH7uLC$%!q>hbEK7Z@cuGKPGr1$v3}~X6;oV~ z%tPb4!)Np4T1BG7UvVWcM2BK3A%`E4_*Kf_VtN-OI;Z))M)F*I&O1F{wqm>tZ*Y52 z2F3+)nz{?*(A~u~=^xqQ;zDUea{I^8HO-8Tej~8>ak)C!M>F)x^w9Q-PKi^~M8ma( zSSSJ-i2JQ4FawaA3UcBi#MNi|;6+#h_?yLg!W~_VIj^mT3ybCb{6H~P)ul^h0vru@*@;J#P#hYTVjPU{=TcnGjqq*_rd{zB#-JgG#7&Q2oj zFP{sHn^c0K_U$a-%jGf=PA$jnM^cH3K~46UE_?vVh{iIoq(<8C(*hhU&5u^Q6*8Ui zQ6;)UtXUZ}efLWF1F!N~@SxA=)o64T#DJ_;Bs`!Q&KH;Hvy?RtcOn64l zVf-}G)yF+w>5=oF#bK~dEh)IACz!XYz77~Hbs}2-tenUB)eC<4+HaZm_nwt9d4+ZOpP zXM2=r26WyYFd2Gnmv8X8Qu0+lXT6SioYW@GdL1*X4i>(S*@Halc$jt<-!~!O^@bdV zWbO2|AW8LIN;Jhn)ec{3V@)jkuWSWJcgQacF=b?QbQ!JSXWzu3I>HZc${9SV42S9r zvv%Udu*3G9SUQs6(oQ)ADY~>Q^`ZwI%jik>4KGG3r%bO-Q+5$Sr_qvK5*RO6+6vfR zuzepYDu-Qf$xPL$s$@CD@4;F?EZR3V&(C*#5AKUKpK8>@)uy-QSh)W!e7GuyL3?pe z6(pp!@2eY6unXgFMS|S8jR(HbXd7g zj~zP$CS1`FetJNDh$k1d2Qja(OO-nQp&V~W(1N#XL8$$Zl+s%C{)h55#_i?0x+WjS zx#*M3J}f&K`fJI4KFRfmgOcwZmP;6ZMw4F`7|r{79j^0y3~E!aK+=xL?tF4N&7QSK zFfYcyi$`QPY&O*6^Whly<%rzkyF($Gv!5YFDWH`n^{5_BIg)!+{%BaO%~|C$r|Odc z-MjP?S;_dua{YY+En$P@So@8`a90-tc|PvDlS zE+EnwicjJ+-3T*JVrC&HE#|jw=%HH~&iw5r zRQh7jKUcnC@Dqm8UA^3i{ zGGAS8#W!V@?bOAD?>#ER)MdH4Jf$v~c#vJ0p)QZ&!EWVTb$JU<_A0&VatTitDlZIE zjF003RpoqjiNx)2WrVu4$AVSaR$VTu%O!O=kMp7O2X$$sJTT#9#$v~Ylo=6d+r+d=@6q3}@Kh7Lb$!uhf_H~Po8axPFeZ4< zt6v0fokE-7-Kx+gc#9O;1aBvWHo@CUK}YbamrfeqfeLMccY#9tg2H(3kTkp!yqDEI h!MjMIP4IS5XcN306~+Yb74=KOTZ#2%%b)U2_J4H-Ha`FW diff --git a/doc/LectureNotes/_build/html/_sources/week35.ipynb b/doc/LectureNotes/_build/html/_sources/week35.ipynb index 6c23bf707..acce5416d 100644 --- a/doc/LectureNotes/_build/html/_sources/week35.ipynb +++ b/doc/LectureNotes/_build/html/_sources/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "be53b5a0", + "id": "0babeebd", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "ea9aa8ba", + "id": "97c00fa1", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "1682c283", + "id": "e4a3ef03", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "06e8536b", + "id": "cce1437b", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "78f54d26", + "id": "52737d8a", "metadata": { "editable": true }, @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "94c25631", + "id": "671d6e88", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "a42b88dc", + "id": "ff12276e", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "3171d71c", + "id": "047c45e4", "metadata": { "editable": true }, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "e70f9acc", + "id": "429101eb", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "2379d06d", + "id": "c5e3146c", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "643717b0", + "id": "7dbe051b", "metadata": { "editable": true }, @@ -182,7 +182,7 @@ }, { "cell_type": "markdown", - "id": "378c280f", + "id": "4fc0ccc9", "metadata": { "editable": true }, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "e52a2672", + "id": "b74ac188", "metadata": { "editable": true }, @@ -207,7 +207,7 @@ }, { "cell_type": "markdown", - "id": "cce68c3d", + "id": "3dd89363", "metadata": { "editable": true }, @@ -219,7 +219,7 @@ }, { "cell_type": "markdown", - "id": "f8c11724", + "id": "f9c8ee6d", "metadata": { "editable": true }, @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "a139ab45", + "id": "f1a7d81e", "metadata": { "editable": true }, @@ -241,7 +241,7 @@ }, { "cell_type": "markdown", - "id": "089dec59", + "id": "5e470402", "metadata": { "editable": true }, @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "570e9155", + "id": "de2d1c2e", "metadata": { "editable": true }, @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "2c6cbd01", + "id": "9f2c6a27", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "daaf53c3", + "id": "f2a53c69", "metadata": { "editable": true }, @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "186a0c23", + "id": "0e6be165", "metadata": { "editable": true }, @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "e83c76fe", + "id": "7e1aa69e", "metadata": { "editable": true }, @@ -311,7 +311,7 @@ }, { "cell_type": "markdown", - "id": "48869faa", + "id": "b6808670", "metadata": { "editable": true }, @@ -323,7 +323,7 @@ }, { "cell_type": "markdown", - "id": "09ef84bc", + "id": "1681f8b5", "metadata": { "editable": true }, @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "a3573593", + "id": "079581c8", "metadata": { "editable": true }, @@ -355,7 +355,7 @@ }, { "cell_type": "markdown", - "id": "0cf80555", + "id": "d2d8bbbe", "metadata": { "editable": true }, @@ -365,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "9a5943d2", + "id": "b6f6fa32", "metadata": { "editable": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "markdown", - "id": "614492f6", + "id": "c40e93cb", "metadata": { "editable": true }, @@ -387,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "e151cfa1", + "id": "817e6b7e", "metadata": { "editable": true }, @@ -399,7 +399,7 @@ }, { "cell_type": "markdown", - "id": "1e2877d6", + "id": "9e81cba3", "metadata": { "editable": true }, @@ -409,7 +409,7 @@ }, { "cell_type": "markdown", - "id": "62ea2b3f", + "id": "f444a6f6", "metadata": { "editable": true }, @@ -421,7 +421,7 @@ }, { "cell_type": "markdown", - "id": "8b2e0f0e", + "id": "c0a4d2f3", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "08983f5f", + "id": "b4fb52ac", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "0220251b", + "id": "625eedb8", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "d80df328", + "id": "e4860d6a", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "838e6fcc", + "id": "f3dbaea0", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "49bab4db", + "id": "12a58017", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "a9f8042e", + "id": "9e01c27e", "metadata": { "editable": true }, @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "41a2f792", + "id": "1a674207", "metadata": { "editable": true }, @@ -535,7 +535,7 @@ }, { "cell_type": "markdown", - "id": "2cd68700", + "id": "32d78057", "metadata": { "editable": true }, @@ -547,7 +547,7 @@ }, { "cell_type": "markdown", - "id": "45e00b5c", + "id": "b05fa6a7", "metadata": { "editable": true }, @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "0d8f4073", + "id": "5d01c3c2", "metadata": { "editable": true }, @@ -575,7 +575,7 @@ }, { "cell_type": "markdown", - "id": "32b84460", + "id": "f6abac54", "metadata": { "editable": true }, @@ -593,7 +593,7 @@ }, { "cell_type": "markdown", - "id": "b1603479", + "id": "83090779", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ }, { "cell_type": "markdown", - "id": "6b964217", + "id": "af17b7d4", "metadata": { "editable": true }, @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "ef7da021", + "id": "c67fb280", "metadata": { "editable": true }, @@ -628,7 +628,7 @@ }, { "cell_type": "markdown", - "id": "f36afc00", + "id": "e3289be1", "metadata": { "editable": true }, @@ -640,7 +640,7 @@ }, { "cell_type": "markdown", - "id": "c86b67b1", + "id": "edc4fe47", "metadata": { "editable": true }, @@ -650,7 +650,7 @@ }, { "cell_type": "markdown", - "id": "9f824fc3", + "id": "cae8f055", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "13294ac7", + "id": "cac6ff9f", "metadata": { "editable": true }, @@ -676,7 +676,7 @@ }, { "cell_type": "markdown", - "id": "d7e5700e", + "id": "50d4f5da", "metadata": { "editable": true }, @@ -688,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "1f1b9622", + "id": "150da64e", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ }, { "cell_type": "markdown", - "id": "d22ff920", + "id": "95b20a47", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ }, { "cell_type": "markdown", - "id": "308eae89", + "id": "51b0e4e3", "metadata": { "editable": true }, @@ -722,7 +722,7 @@ }, { "cell_type": "markdown", - "id": "69df69e0", + "id": "d6e1d862", "metadata": { "editable": true }, @@ -734,7 +734,7 @@ }, { "cell_type": "markdown", - "id": "989c0888", + "id": "bad539c1", "metadata": { "editable": true }, @@ -746,7 +746,7 @@ }, { "cell_type": "markdown", - "id": "796e59d4", + "id": "4a4f0d75", "metadata": { "editable": true }, @@ -758,7 +758,7 @@ }, { "cell_type": "markdown", - "id": "0ecc2fbb", + "id": "a71b3c23", "metadata": { "editable": true }, @@ -772,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "7f541061", + "id": "88befc96", "metadata": { "editable": true }, @@ -784,7 +784,7 @@ }, { "cell_type": "markdown", - "id": "150fcbf6", + "id": "d3f17e84", "metadata": { "editable": true }, @@ -796,7 +796,7 @@ }, { "cell_type": "markdown", - "id": "27b04c69", + "id": "daccd41d", "metadata": { "editable": true }, @@ -808,7 +808,7 @@ }, { "cell_type": "markdown", - "id": "9d121c2b", + "id": "00b3204d", "metadata": { "editable": true }, @@ -818,7 +818,7 @@ }, { "cell_type": "markdown", - "id": "de64d430", + "id": "8be5135b", "metadata": { "editable": true }, @@ -830,7 +830,7 @@ }, { "cell_type": "markdown", - "id": "60392be8", + "id": "0f573683", "metadata": { "editable": true }, @@ -840,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "3eeb0762", + "id": "bc6a156c", "metadata": { "editable": true }, @@ -852,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "5acbe964", + "id": "83c196bf", "metadata": { "editable": true }, @@ -862,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "a5e67241", + "id": "a350d475", "metadata": { "editable": true }, @@ -874,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "d80219d2", + "id": "4b7eabaf", "metadata": { "editable": true }, @@ -886,7 +886,7 @@ }, { "cell_type": "markdown", - "id": "7ec6b553", + "id": "90736966", "metadata": { "editable": true }, @@ -898,7 +898,7 @@ }, { "cell_type": "markdown", - "id": "bcd2cdff", + "id": "bb9a16ec", "metadata": { "editable": true }, @@ -913,7 +913,7 @@ }, { "cell_type": "markdown", - "id": "7160434b", + "id": "52518d34", "metadata": { "editable": true }, @@ -925,7 +925,7 @@ }, { "cell_type": "markdown", - "id": "ae1d7aa6", + "id": "139726b2", "metadata": { "editable": true }, @@ -935,7 +935,7 @@ }, { "cell_type": "markdown", - "id": "5ced56fe", + "id": "5684873d", "metadata": { "editable": true }, @@ -947,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "78444018", + "id": "acfde1eb", "metadata": { "editable": true }, @@ -957,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "4207abea", + "id": "db5a6f27", "metadata": { "editable": true }, @@ -969,7 +969,7 @@ }, { "cell_type": "markdown", - "id": "5ca388cb", + "id": "2b343d82", "metadata": { "editable": true }, @@ -979,7 +979,7 @@ }, { "cell_type": "markdown", - "id": "76bcca31", + "id": "6c2f023d", "metadata": { "editable": true }, @@ -991,7 +991,7 @@ }, { "cell_type": "markdown", - "id": "72a7c5d6", + "id": "7c575a3d", "metadata": { "editable": true }, @@ -1003,7 +1003,7 @@ }, { "cell_type": "markdown", - "id": "8ddd5a6c", + "id": "9cdd12ae", "metadata": { "editable": true }, @@ -1015,7 +1015,7 @@ }, { "cell_type": "markdown", - "id": "4ce22956", + "id": "2c747ecf", "metadata": { "editable": true }, @@ -1025,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "7a7a8220", + "id": "a1f1cac6", "metadata": { "editable": true }, @@ -1037,7 +1037,7 @@ }, { "cell_type": "markdown", - "id": "660f5feb", + "id": "38f0c38d", "metadata": { "editable": true }, @@ -1050,7 +1050,7 @@ }, { "cell_type": "markdown", - "id": "35130b19", + "id": "6e6e7a18", "metadata": { "editable": true }, @@ -1062,7 +1062,7 @@ }, { "cell_type": "markdown", - "id": "43929a90", + "id": "d0a300bf", "metadata": { "editable": true }, @@ -1072,7 +1072,7 @@ }, { "cell_type": "markdown", - "id": "b9484098", + "id": "8606b2f5", "metadata": { "editable": true }, @@ -1084,7 +1084,7 @@ }, { "cell_type": "markdown", - "id": "a8366c58", + "id": "8e808f42", "metadata": { "editable": true }, @@ -1094,7 +1094,7 @@ }, { "cell_type": "markdown", - "id": "22ff6985", + "id": "e60692f9", "metadata": { "editable": true }, @@ -1106,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "8129f022", + "id": "191a1403", "metadata": { "editable": true }, @@ -1116,7 +1116,7 @@ }, { "cell_type": "markdown", - "id": "d8ff6bb2", + "id": "85a48dc2", "metadata": { "editable": true }, @@ -1128,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "c8f81b3f", + "id": "322515bc", "metadata": { "editable": true }, @@ -1138,7 +1138,7 @@ }, { "cell_type": "markdown", - "id": "69af2c51", + "id": "07e78aa4", "metadata": { "editable": true }, @@ -1150,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "c9e254ef", + "id": "55e68f23", "metadata": { "editable": true }, @@ -1160,7 +1160,7 @@ }, { "cell_type": "markdown", - "id": "b1377365", + "id": "c4198d70", "metadata": { "editable": true }, @@ -1172,7 +1172,7 @@ }, { "cell_type": "markdown", - "id": "52258121", + "id": "b7d6fda2", "metadata": { "editable": true }, @@ -1184,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "7785c30e", + "id": "f76130c7", "metadata": { "editable": true }, @@ -1196,7 +1196,7 @@ }, { "cell_type": "markdown", - "id": "ba371063", + "id": "1eda8311", "metadata": { "editable": true }, @@ -1208,7 +1208,7 @@ }, { "cell_type": "markdown", - "id": "905ad22c", + "id": "cbcfc4ac", "metadata": { "editable": true }, @@ -1220,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "0f770989", + "id": "15f400be", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "c4c4d825", + "id": "1ea079a0", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "bca9faf0", + "id": "c55b7c42", "metadata": { "editable": true }, @@ -1258,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "678d6d8d", + "id": "74f1cbc2", "metadata": { "editable": true }, @@ -1270,7 +1270,7 @@ }, { "cell_type": "markdown", - "id": "9f18b73a", + "id": "281c8820", "metadata": { "editable": true }, @@ -1288,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "a738b78b", + "id": "cf35f2b0", "metadata": { "editable": true }, @@ -1300,7 +1300,7 @@ }, { "cell_type": "markdown", - "id": "c4325fac", + "id": "8db5ad71", "metadata": { "editable": true }, @@ -1312,7 +1312,7 @@ }, { "cell_type": "markdown", - "id": "d32fe699", + "id": "f39e2160", "metadata": { "editable": true }, @@ -1322,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "bdabaf26", + "id": "3e4e4e8d", "metadata": { "editable": true }, @@ -1334,7 +1334,7 @@ }, { "cell_type": "markdown", - "id": "1a13e693", + "id": "0323a489", "metadata": { "editable": true }, @@ -1344,7 +1344,7 @@ }, { "cell_type": "markdown", - "id": "b26dc6ec", + "id": "10339395", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "f42cbab8", + "id": "0b22fc31", "metadata": { "editable": true }, @@ -1366,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "a73bb0ea", + "id": "494b1a28", "metadata": { "editable": true }, @@ -1380,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "c1c8da9d", + "id": "d20c96cf", "metadata": { "editable": true }, @@ -1392,7 +1392,7 @@ }, { "cell_type": "markdown", - "id": "2ca0aef5", + "id": "7f81444b", "metadata": { "editable": true }, @@ -1403,7 +1403,7 @@ }, { "cell_type": "markdown", - "id": "d18683ee", + "id": "f81d6764", "metadata": { "editable": true }, @@ -1416,7 +1416,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "a4ea6710", + "id": "83225daf", "metadata": { "collapsed": false, "editable": true @@ -1443,7 +1443,7 @@ }, { "cell_type": "markdown", - "id": "6fb0024c", + "id": "f432b3ff", "metadata": { "editable": true }, @@ -1454,7 +1454,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "72a80735", + "id": "04b2ece5", "metadata": { "collapsed": false, "editable": true @@ -1467,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "3768a40c", + "id": "8467ac97", "metadata": { "editable": true }, @@ -1481,7 +1481,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "d5af18c7", + "id": "fb24217a", "metadata": { "collapsed": false, "editable": true @@ -1494,7 +1494,7 @@ }, { "cell_type": "markdown", - "id": "92c5153f", + "id": "95050d99", "metadata": { "editable": true }, @@ -1505,7 +1505,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "09511b52", + "id": "7daecb54", "metadata": { "collapsed": false, "editable": true @@ -1517,7 +1517,7 @@ }, { "cell_type": "markdown", - "id": "d92d6b51", + "id": "616c641c", "metadata": { "editable": true }, @@ -1528,7 +1528,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "4e16843d", + "id": "ad94a295", "metadata": { "collapsed": false, "editable": true @@ -1544,7 +1544,7 @@ }, { "cell_type": "markdown", - "id": "acef1cf8", + "id": "afb8bdc0", "metadata": { "editable": true }, @@ -1555,7 +1555,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "11d5e613", + "id": "d9382131", "metadata": { "collapsed": false, "editable": true @@ -1569,7 +1569,7 @@ }, { "cell_type": "markdown", - "id": "216b1096", + "id": "81a3e982", "metadata": { "editable": true }, @@ -1590,7 +1590,7 @@ }, { "cell_type": "markdown", - "id": "8fa67728", + "id": "f58f6c21", "metadata": { "editable": true }, @@ -1601,7 +1601,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "28c9c5f2", + "id": "bb9a3b77", "metadata": { "collapsed": false, "editable": true @@ -1654,7 +1654,7 @@ }, { "cell_type": "markdown", - "id": "97af1cca", + "id": "c977c2ac", "metadata": { "editable": true }, @@ -1665,7 +1665,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e4ca68c4", + "id": "2676b30f", "metadata": { "collapsed": false, "editable": true @@ -1690,7 +1690,7 @@ }, { "cell_type": "markdown", - "id": "16a219af", + "id": "53eb00be", "metadata": { "editable": true }, @@ -1702,7 +1702,7 @@ }, { "cell_type": "markdown", - "id": "d99baccc", + "id": "893ea33c", "metadata": { "editable": true }, @@ -1731,7 +1731,7 @@ }, { "cell_type": "markdown", - "id": "382627de", + "id": "fcfef74e", "metadata": { "editable": true }, @@ -1756,7 +1756,7 @@ }, { "cell_type": "markdown", - "id": "dbe9c5e7", + "id": "40a6072e", "metadata": { "editable": true }, @@ -1776,7 +1776,7 @@ }, { "cell_type": "markdown", - "id": "76afa0fa", + "id": "6464d00e", "metadata": { "editable": true }, @@ -1803,7 +1803,7 @@ }, { "cell_type": "markdown", - "id": "7a3ee226", + "id": "f69bee17", "metadata": { "editable": true }, @@ -1816,7 +1816,7 @@ }, { "cell_type": "markdown", - "id": "a3b3ad3e", + "id": "ae4d66ae", "metadata": { "editable": true }, @@ -1828,7 +1828,7 @@ }, { "cell_type": "markdown", - "id": "5c0f36af", + "id": "9a60e683", "metadata": { "editable": true }, @@ -1839,7 +1839,7 @@ }, { "cell_type": "markdown", - "id": "3de5eca9", + "id": "45315f93", "metadata": { "editable": true }, @@ -1855,7 +1855,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "e836c1eb", + "id": "7fe845e8", "metadata": { "collapsed": false, "editable": true @@ -1889,7 +1889,7 @@ }, { "cell_type": "markdown", - "id": "03c9b6b3", + "id": "049d9edb", "metadata": { "editable": true }, @@ -1899,7 +1899,7 @@ }, { "cell_type": "markdown", - "id": "ecabe53c", + "id": "e098f1e2", "metadata": { "editable": true }, @@ -1914,7 +1914,7 @@ }, { "cell_type": "markdown", - "id": "daa74ff5", + "id": "afe0f097", "metadata": { "editable": true }, @@ -1926,7 +1926,7 @@ }, { "cell_type": "markdown", - "id": "4bf5d4cc", + "id": "8c4c32c9", "metadata": { "editable": true }, @@ -1936,7 +1936,7 @@ }, { "cell_type": "markdown", - "id": "bff437d3", + "id": "3e3af961", "metadata": { "editable": true }, @@ -1952,7 +1952,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "e4815d9d", + "id": "364363ed", "metadata": { "collapsed": false, "editable": true @@ -1969,7 +1969,7 @@ }, { "cell_type": "markdown", - "id": "ac106c70", + "id": "f85005a3", "metadata": { "editable": true }, @@ -1982,7 +1982,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "b3b4d1c5", + "id": "47c9afad", "metadata": { "collapsed": false, "editable": true @@ -2029,7 +2029,7 @@ }, { "cell_type": "markdown", - "id": "588605a3", + "id": "2d522b5b", "metadata": { "editable": true }, @@ -2040,7 +2040,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "eac5c19b", + "id": "0aed60c8", "metadata": { "collapsed": false, "editable": true @@ -2143,7 +2143,7 @@ }, { "cell_type": "markdown", - "id": "e09cfcf0", + "id": "fa165453", "metadata": { "editable": true }, @@ -2171,7 +2171,7 @@ }, { "cell_type": "markdown", - "id": "2bbf93a9", + "id": "734df471", "metadata": { "editable": true }, @@ -2206,7 +2206,7 @@ }, { "cell_type": "markdown", - "id": "51f3121a", + "id": "b6bde2ec", "metadata": { "editable": true }, @@ -2221,7 +2221,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "e5bfd742", + "id": "0e49b148", "metadata": { "collapsed": false, "editable": true @@ -2246,7 +2246,7 @@ }, { "cell_type": "markdown", - "id": "61e91fe1", + "id": "a4397707", "metadata": { "editable": true }, @@ -2262,7 +2262,7 @@ }, { "cell_type": "markdown", - "id": "02fa2126", + "id": "0c113b92", "metadata": { "editable": true }, @@ -2274,7 +2274,7 @@ }, { "cell_type": "markdown", - "id": "c5ea5b96", + "id": "18d476bc", "metadata": { "editable": true }, @@ -2289,7 +2289,7 @@ }, { "cell_type": "markdown", - "id": "6dbfbe9a", + "id": "3cf3b752", "metadata": { "editable": true }, @@ -2301,7 +2301,7 @@ }, { "cell_type": "markdown", - "id": "e3318d8a", + "id": "ed2af561", "metadata": { "editable": true }, @@ -2311,7 +2311,7 @@ }, { "cell_type": "markdown", - "id": "7a7f2bb0", + "id": "b37a9e65", "metadata": { "editable": true }, @@ -2323,7 +2323,7 @@ }, { "cell_type": "markdown", - "id": "7b9072eb", + "id": "f9775ea0", "metadata": { "editable": true }, @@ -2333,7 +2333,7 @@ }, { "cell_type": "markdown", - "id": "fb9fc6af", + "id": "cecd5fc2", "metadata": { "editable": true }, @@ -2345,7 +2345,7 @@ }, { "cell_type": "markdown", - "id": "5b1d9bae", + "id": "52fcc61e", "metadata": { "editable": true }, @@ -2358,7 +2358,7 @@ }, { "cell_type": "markdown", - "id": "aa9d7398", + "id": "000d54d2", "metadata": { "editable": true }, @@ -2370,7 +2370,7 @@ }, { "cell_type": "markdown", - "id": "1ba94b15", + "id": "0fed9be4", "metadata": { "editable": true }, @@ -2380,7 +2380,7 @@ }, { "cell_type": "markdown", - "id": "2c91f4b9", + "id": "0c61aa7b", "metadata": { "editable": true }, @@ -2392,7 +2392,7 @@ }, { "cell_type": "markdown", - "id": "f227a642", + "id": "b390be2f", "metadata": { "editable": true }, @@ -2402,7 +2402,7 @@ }, { "cell_type": "markdown", - "id": "744d6fcc", + "id": "aab8c64c", "metadata": { "editable": true }, @@ -2414,7 +2414,7 @@ }, { "cell_type": "markdown", - "id": "c07272e6", + "id": "269cff24", "metadata": { "editable": true }, @@ -2424,7 +2424,7 @@ }, { "cell_type": "markdown", - "id": "28b1cf18", + "id": "66e6ecf2", "metadata": { "editable": true }, @@ -2436,7 +2436,7 @@ }, { "cell_type": "markdown", - "id": "d9e5287b", + "id": "33bddc5a", "metadata": { "editable": true }, @@ -2446,7 +2446,7 @@ }, { "cell_type": "markdown", - "id": "d2b5ee59", + "id": "1e81b738", "metadata": { "editable": true }, @@ -2458,7 +2458,7 @@ }, { "cell_type": "markdown", - "id": "ae591a22", + "id": "b182f371", "metadata": { "editable": true }, @@ -2468,7 +2468,7 @@ }, { "cell_type": "markdown", - "id": "bbb4efc5", + "id": "97caf464", "metadata": { "editable": true }, @@ -2480,7 +2480,7 @@ }, { "cell_type": "markdown", - "id": "76c37a89", + "id": "d44cf34a", "metadata": { "editable": true }, @@ -2490,7 +2490,7 @@ }, { "cell_type": "markdown", - "id": "ac78f014", + "id": "98301664", "metadata": { "editable": true }, @@ -2502,7 +2502,7 @@ }, { "cell_type": "markdown", - "id": "01c57df2", + "id": "c10a9495", "metadata": { "editable": true }, @@ -2514,7 +2514,7 @@ }, { "cell_type": "markdown", - "id": "5c77be60", + "id": "e55bc871", "metadata": { "editable": true }, @@ -2526,7 +2526,7 @@ }, { "cell_type": "markdown", - "id": "7448d02c", + "id": "6033356d", "metadata": { "editable": true }, @@ -2539,7 +2539,7 @@ }, { "cell_type": "markdown", - "id": "6b16f287", + "id": "d064973a", "metadata": { "editable": true }, @@ -2551,7 +2551,7 @@ }, { "cell_type": "markdown", - "id": "d6f810af", + "id": "21607d44", "metadata": { "editable": true }, @@ -2561,7 +2561,7 @@ }, { "cell_type": "markdown", - "id": "6b506524", + "id": "55a9f200", "metadata": { "editable": true }, @@ -2575,7 +2575,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "d39358da", + "id": "35f99de0", "metadata": { "collapsed": false, "editable": true @@ -2672,7 +2672,7 @@ }, { "cell_type": "markdown", - "id": "1c2292c1", + "id": "5eb9aa4d", "metadata": { "editable": true }, @@ -2693,7 +2693,7 @@ }, { "cell_type": "markdown", - "id": "1fa67201", + "id": "5cbdc215", "metadata": { "editable": true }, @@ -2705,7 +2705,7 @@ }, { "cell_type": "markdown", - "id": "137f3aa8", + "id": "a148d669", "metadata": { "editable": true }, @@ -2715,7 +2715,7 @@ }, { "cell_type": "markdown", - "id": "b5fd0444", + "id": "a04efc28", "metadata": { "editable": true }, @@ -2727,7 +2727,7 @@ }, { "cell_type": "markdown", - "id": "04e6de19", + "id": "d004f9af", "metadata": { "editable": true }, @@ -2737,7 +2737,7 @@ }, { "cell_type": "markdown", - "id": "2cd0f6df", + "id": "33d88186", "metadata": { "editable": true }, @@ -2749,7 +2749,7 @@ }, { "cell_type": "markdown", - "id": "f833976e", + "id": "79a0fcd6", "metadata": { "editable": true }, @@ -2765,7 +2765,7 @@ }, { "cell_type": "markdown", - "id": "0526f8a3", + "id": "5276fcae", "metadata": { "editable": true }, @@ -2809,7 +2809,7 @@ }, { "cell_type": "markdown", - "id": "132ef74f", + "id": "6071dd24", "metadata": { "editable": true }, @@ -2821,7 +2821,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "25ecbae5", + "id": "c878cffa", "metadata": { "collapsed": false, "editable": true @@ -2837,7 +2837,7 @@ }, { "cell_type": "markdown", - "id": "dd07b613", + "id": "5ae29df1", "metadata": { "editable": true }, @@ -2848,7 +2848,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "217c66c6", + "id": "0c27343f", "metadata": { "collapsed": false, "editable": true @@ -2866,7 +2866,7 @@ }, { "cell_type": "markdown", - "id": "a74cd412", + "id": "bd362de3", "metadata": { "editable": true }, @@ -2877,7 +2877,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "7252d534", + "id": "1042f631", "metadata": { "collapsed": false, "editable": true @@ -2891,7 +2891,7 @@ }, { "cell_type": "markdown", - "id": "9bc51de3", + "id": "82185c81", "metadata": { "editable": true }, @@ -2902,7 +2902,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "5209e335", + "id": "dd4764d2", "metadata": { "collapsed": false, "editable": true @@ -2915,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "2f7e2bce", + "id": "2b18d348", "metadata": { "editable": true }, @@ -2926,7 +2926,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "f40dddbb", + "id": "ad218084", "metadata": { "collapsed": false, "editable": true @@ -2943,7 +2943,7 @@ }, { "cell_type": "markdown", - "id": "4c784974", + "id": "37596ce4", "metadata": { "editable": true }, @@ -2954,7 +2954,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "f41e4472", + "id": "c64afdcd", "metadata": { "collapsed": false, "editable": true @@ -2970,7 +2970,7 @@ }, { "cell_type": "markdown", - "id": "ddbe7e53", + "id": "f74d7c0e", "metadata": { "editable": true }, @@ -2981,7 +2981,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "fb697c78", + "id": "05f432c4", "metadata": { "collapsed": false, "editable": true @@ -3005,7 +3005,7 @@ }, { "cell_type": "markdown", - "id": "e9883aae", + "id": "7eccf967", "metadata": { "editable": true }, @@ -3016,7 +3016,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "3b54b6a2", + "id": "e4e2ffd8", "metadata": { "collapsed": false, "editable": true @@ -3029,7 +3029,7 @@ }, { "cell_type": "markdown", - "id": "787c8475", + "id": "df5c1bb8", "metadata": { "editable": true }, @@ -3040,7 +3040,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "c88e54a9", + "id": "f5103c3e", "metadata": { "collapsed": false, "editable": true @@ -3060,7 +3060,7 @@ }, { "cell_type": "markdown", - "id": "6facc9e0", + "id": "b03da257", "metadata": { "editable": true }, @@ -3071,7 +3071,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "0fe2de24", + "id": "862a3613", "metadata": { "collapsed": false, "editable": true @@ -3114,7 +3114,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "33e2f09a", + "id": "28414bfe", "metadata": { "collapsed": false, "editable": true @@ -3129,7 +3129,7 @@ }, { "cell_type": "markdown", - "id": "7af3d057", + "id": "423c5193", "metadata": { "editable": true }, @@ -3139,7 +3139,7 @@ }, { "cell_type": "markdown", - "id": "c5cc4ff1", + "id": "40134015", "metadata": { "editable": true }, @@ -3153,7 +3153,7 @@ }, { "cell_type": "markdown", - "id": "e187c407", + "id": "2ea33726", "metadata": { "editable": true }, @@ -3165,7 +3165,7 @@ }, { "cell_type": "markdown", - "id": "80c1e1d2", + "id": "b20e3c69", "metadata": { "editable": true }, @@ -3177,7 +3177,7 @@ }, { "cell_type": "markdown", - "id": "d08c63a8", + "id": "86928159", "metadata": { "editable": true }, @@ -3189,7 +3189,7 @@ }, { "cell_type": "markdown", - "id": "e4199d04", + "id": "7f876bba", "metadata": { "editable": true }, @@ -3199,7 +3199,7 @@ }, { "cell_type": "markdown", - "id": "1cd0a12a", + "id": "1a0f675e", "metadata": { "editable": true }, @@ -3211,7 +3211,7 @@ }, { "cell_type": "markdown", - "id": "c4de93ba", + "id": "5b09cb8c", "metadata": { "editable": true }, @@ -3221,7 +3221,7 @@ }, { "cell_type": "markdown", - "id": "27136288", + "id": "2d734fd4", "metadata": { "editable": true }, @@ -3233,7 +3233,7 @@ }, { "cell_type": "markdown", - "id": "a088b960", + "id": "7bd3f98e", "metadata": { "editable": true }, @@ -3244,7 +3244,7 @@ }, { "cell_type": "markdown", - "id": "1a02ddbb", + "id": "37d9ae55", "metadata": { "editable": true }, @@ -3256,7 +3256,7 @@ }, { "cell_type": "markdown", - "id": "ed18d091", + "id": "457c49df", "metadata": { "editable": true }, @@ -3268,7 +3268,7 @@ }, { "cell_type": "markdown", - "id": "3d5b79af", + "id": "72cb8e53", "metadata": { "editable": true }, @@ -3278,7 +3278,7 @@ }, { "cell_type": "markdown", - "id": "dda4570b", + "id": "d5a2f7bf", "metadata": { "editable": true }, @@ -3290,7 +3290,7 @@ }, { "cell_type": "markdown", - "id": "11d8d3e3", + "id": "6c1d3ae9", "metadata": { "editable": true }, @@ -3302,7 +3302,7 @@ }, { "cell_type": "markdown", - "id": "46901f0f", + "id": "fbd16f90", "metadata": { "editable": true }, @@ -3312,7 +3312,7 @@ }, { "cell_type": "markdown", - "id": "9189fcdb", + "id": "b112d398", "metadata": { "editable": true }, @@ -3324,7 +3324,7 @@ }, { "cell_type": "markdown", - "id": "90000eee", + "id": "02cd55a7", "metadata": { "editable": true }, @@ -3334,7 +3334,7 @@ }, { "cell_type": "markdown", - "id": "e82d1f9c", + "id": "0f91ca1c", "metadata": { "editable": true }, @@ -3346,7 +3346,7 @@ }, { "cell_type": "markdown", - "id": "072720c0", + "id": "4c9a1014", "metadata": { "editable": true }, @@ -3356,7 +3356,7 @@ }, { "cell_type": "markdown", - "id": "dd15f44d", + "id": "bbf65400", "metadata": { "editable": true }, @@ -3396,7 +3396,7 @@ }, { "cell_type": "markdown", - "id": "6fb5a31f", + "id": "e86aedda", "metadata": { "editable": true }, @@ -3413,7 +3413,7 @@ }, { "cell_type": "markdown", - "id": "179c61b1", + "id": "5607899f", "metadata": { "editable": true }, @@ -3436,7 +3436,7 @@ }, { "cell_type": "markdown", - "id": "5c43a81e", + "id": "ee828c1a", "metadata": { "editable": true }, @@ -3453,7 +3453,7 @@ }, { "cell_type": "markdown", - "id": "29134082", + "id": "8cf44f4b", "metadata": { "editable": true }, @@ -3472,7 +3472,7 @@ }, { "cell_type": "markdown", - "id": "8ef42f32", + "id": "41c01ec3", "metadata": { "editable": true }, @@ -3483,7 +3483,7 @@ }, { "cell_type": "markdown", - "id": "076c58c7", + "id": "2abae461", "metadata": { "editable": true }, @@ -3495,7 +3495,7 @@ }, { "cell_type": "markdown", - "id": "04db202f", + "id": "9b9091ee", "metadata": { "editable": true }, @@ -3513,7 +3513,7 @@ }, { "cell_type": "markdown", - "id": "b60cb6b5", + "id": "e9c2ef56", "metadata": { "editable": true }, @@ -3529,7 +3529,7 @@ }, { "cell_type": "markdown", - "id": "d29615f2", + "id": "f85233fa", "metadata": { "editable": true }, @@ -3541,7 +3541,7 @@ }, { "cell_type": "markdown", - "id": "1f2c3f1e", + "id": "61b8cabc", "metadata": { "editable": true }, @@ -3551,7 +3551,7 @@ }, { "cell_type": "markdown", - "id": "759ab85a", + "id": "9b057486", "metadata": { "editable": true }, @@ -3566,7 +3566,7 @@ }, { "cell_type": "markdown", - "id": "4538c162", + "id": "6274419d", "metadata": { "editable": true }, @@ -3578,7 +3578,7 @@ }, { "cell_type": "markdown", - "id": "a5617e01", + "id": "213c9ae6", "metadata": { "editable": true }, @@ -3588,7 +3588,7 @@ }, { "cell_type": "markdown", - "id": "fe0b46d4", + "id": "6a9de3b7", "metadata": { "editable": true }, @@ -3600,7 +3600,7 @@ }, { "cell_type": "markdown", - "id": "7695cd6a", + "id": "d7ce3387", "metadata": { "editable": true }, @@ -3610,7 +3610,7 @@ }, { "cell_type": "markdown", - "id": "26601b01", + "id": "98ff9d86", "metadata": { "editable": true }, @@ -3622,7 +3622,7 @@ }, { "cell_type": "markdown", - "id": "6a2d467f", + "id": "2b327be5", "metadata": { "editable": true }, @@ -3634,7 +3634,7 @@ }, { "cell_type": "markdown", - "id": "a830ae89", + "id": "2c1a9126", "metadata": { "editable": true }, @@ -3649,7 +3649,7 @@ }, { "cell_type": "markdown", - "id": "488dd05c", + "id": "3c92214f", "metadata": { "editable": true }, @@ -3660,7 +3660,7 @@ }, { "cell_type": "markdown", - "id": "0383a3b6", + "id": "534f2e5f", "metadata": { "editable": true }, @@ -3680,7 +3680,7 @@ }, { "cell_type": "markdown", - "id": "10e82320", + "id": "7b60adf4", "metadata": { "editable": true }, @@ -3692,7 +3692,7 @@ }, { "cell_type": "markdown", - "id": "59a6e34a", + "id": "8a70724c", "metadata": { "editable": true }, @@ -3702,7 +3702,7 @@ }, { "cell_type": "markdown", - "id": "ab9dc4a5", + "id": "428c905b", "metadata": { "editable": true }, @@ -3714,7 +3714,7 @@ }, { "cell_type": "markdown", - "id": "51c1c028", + "id": "874e40ee", "metadata": { "editable": true }, @@ -3743,7 +3743,7 @@ }, { "cell_type": "markdown", - "id": "ec252687", + "id": "35f9527c", "metadata": { "editable": true }, @@ -3770,7 +3770,7 @@ }, { "cell_type": "markdown", - "id": "156bfe10", + "id": "fdd5aa47", "metadata": { "editable": true }, @@ -3781,7 +3781,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "3c182484", + "id": "01e4de19", "metadata": { "collapsed": false, "editable": true @@ -3821,7 +3821,7 @@ }, { "cell_type": "markdown", - "id": "98a0e5ec", + "id": "d4de121b", "metadata": { "editable": true }, @@ -3838,7 +3838,7 @@ }, { "cell_type": "markdown", - "id": "b69361d0", + "id": "7ca8d39b", "metadata": { "editable": true }, @@ -3861,7 +3861,7 @@ }, { "cell_type": "markdown", - "id": "8d7c0cc8", + "id": "bdcff808", "metadata": { "editable": true }, @@ -3875,7 +3875,7 @@ }, { "cell_type": "markdown", - "id": "0a45fa90", + "id": "28074411", "metadata": { "editable": true }, @@ -3894,7 +3894,7 @@ }, { "cell_type": "markdown", - "id": "add34bfc", + "id": "4ea2fc19", "metadata": { "editable": true }, @@ -3904,7 +3904,7 @@ }, { "cell_type": "markdown", - "id": "f00ff6da", + "id": "a1fee3ce", "metadata": { "editable": true }, @@ -3916,7 +3916,7 @@ }, { "cell_type": "markdown", - "id": "348cd8df", + "id": "fd762673", "metadata": { "editable": true }, @@ -3930,7 +3930,7 @@ }, { "cell_type": "markdown", - "id": "f7697c17", + "id": "f20cf9e9", "metadata": { "editable": true }, @@ -3942,7 +3942,7 @@ }, { "cell_type": "markdown", - "id": "64417096", + "id": "85368feb", "metadata": { "editable": true }, @@ -3952,7 +3952,7 @@ }, { "cell_type": "markdown", - "id": "ded28c47", + "id": "a8770954", "metadata": { "editable": true }, @@ -3964,7 +3964,7 @@ }, { "cell_type": "markdown", - "id": "f70d6ea7", + "id": "4a270875", "metadata": { "editable": true }, @@ -3981,7 +3981,7 @@ }, { "cell_type": "markdown", - "id": "68ecbbfa", + "id": "680b5723", "metadata": { "editable": true }, @@ -3991,7 +3991,7 @@ }, { "cell_type": "markdown", - "id": "73db495d", + "id": "4ccca506", "metadata": { "editable": true }, @@ -4007,7 +4007,7 @@ }, { "cell_type": "markdown", - "id": "44412861", + "id": "1e79a5cc", "metadata": { "editable": true }, @@ -4017,7 +4017,7 @@ }, { "cell_type": "markdown", - "id": "985de8ad", + "id": "27b3b9fe", "metadata": { "editable": true }, @@ -4033,7 +4033,7 @@ }, { "cell_type": "markdown", - "id": "bae93d68", + "id": "a351c847", "metadata": { "editable": true }, @@ -4043,7 +4043,7 @@ }, { "cell_type": "markdown", - "id": "e29bd644", + "id": "aa000d05", "metadata": { "editable": true }, @@ -4059,7 +4059,7 @@ }, { "cell_type": "markdown", - "id": "3abf4a2d", + "id": "2d519658", "metadata": { "editable": true }, @@ -4069,7 +4069,7 @@ }, { "cell_type": "markdown", - "id": "fe1e2ce7", + "id": "0870c7af", "metadata": { "editable": true }, @@ -4086,7 +4086,7 @@ }, { "cell_type": "markdown", - "id": "d23d044b", + "id": "084c61ee", "metadata": { "editable": true }, @@ -4098,7 +4098,7 @@ }, { "cell_type": "markdown", - "id": "36e38f22", + "id": "a3d4ccfa", "metadata": { "editable": true }, @@ -4110,7 +4110,7 @@ }, { "cell_type": "markdown", - "id": "ad22843b", + "id": "59ba92d2", "metadata": { "editable": true }, @@ -4122,7 +4122,7 @@ }, { "cell_type": "markdown", - "id": "fabcf0f8", + "id": "b5e2f754", "metadata": { "editable": true }, @@ -4132,7 +4132,7 @@ }, { "cell_type": "markdown", - "id": "2c2f44c5", + "id": "9cb23cb1", "metadata": { "editable": true }, @@ -4144,7 +4144,7 @@ }, { "cell_type": "markdown", - "id": "105762d0", + "id": "1c3ffc6f", "metadata": { "editable": true }, @@ -4156,7 +4156,7 @@ }, { "cell_type": "markdown", - "id": "35a42e41", + "id": "786439ab", "metadata": { "editable": true }, @@ -4168,7 +4168,7 @@ }, { "cell_type": "markdown", - "id": "8e21698f", + "id": "51d4bb29", "metadata": { "editable": true }, @@ -4178,7 +4178,7 @@ }, { "cell_type": "markdown", - "id": "a240efc0", + "id": "79bdc7d5", "metadata": { "editable": true }, @@ -4190,17 +4190,17 @@ }, { "cell_type": "markdown", - "id": "3919a2cb", + "id": "a48d61d1", "metadata": { "editable": true }, "source": [ - "which gives us, using the orthogonality of the matrices $\\boldsymbol{U}$ and $\\boldsymbol{V}$," + "which gives us, using the orthogonality of the matrix $\\boldsymbol{V}$," ] }, { "cell_type": "markdown", - "id": "ddf99a3e", + "id": "3c8b52bf", "metadata": { "editable": true }, @@ -4212,7 +4212,7 @@ }, { "cell_type": "markdown", - "id": "5a790d25", + "id": "d902463f", "metadata": { "editable": true }, @@ -4220,13 +4220,15 @@ "It means that the ordinary least square model (with the optimal\n", "parameters) $\\boldsymbol{\\tilde{y}}$, corresponds to an orthogonal\n", "transformation of the output (or target) vector $\\boldsymbol{y}$ by the\n", - "vectors of the matrix $\\boldsymbol{U}$. Note that the summation ends at $p-1$,\n", - "that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$." + "vectors of the matrix $\\boldsymbol{U}$. **Note that the summation ends at**\n", + "$p-1$, that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$. We can thus not use the\n", + "orthogonality relation for the matrix $\\boldsymbol{U}$. This can already be\n", + "when we multiply the matrices $\\boldsymbol{\\Sigma}^T\\boldsymbol{U}^T$." ] }, { "cell_type": "markdown", - "id": "113a5d16", + "id": "955c3dda", "metadata": { "editable": true }, @@ -4238,7 +4240,7 @@ }, { "cell_type": "markdown", - "id": "ec65ec89", + "id": "af6d057f", "metadata": { "editable": true }, @@ -4250,7 +4252,7 @@ }, { "cell_type": "markdown", - "id": "ed891134", + "id": "1200c060", "metadata": { "editable": true }, @@ -4260,7 +4262,7 @@ }, { "cell_type": "markdown", - "id": "5266f146", + "id": "18782e94", "metadata": { "editable": true }, @@ -4272,7 +4274,7 @@ }, { "cell_type": "markdown", - "id": "666ab5b3", + "id": "f51193b6", "metadata": { "editable": true }, @@ -4283,7 +4285,7 @@ }, { "cell_type": "markdown", - "id": "ab9a3eec", + "id": "293c5f44", "metadata": { "editable": true }, @@ -4295,7 +4297,7 @@ }, { "cell_type": "markdown", - "id": "252e7533", + "id": "8e5cd6b1", "metadata": { "editable": true }, @@ -4305,7 +4307,7 @@ }, { "cell_type": "markdown", - "id": "201b9300", + "id": "79a79025", "metadata": { "editable": true }, @@ -4317,7 +4319,7 @@ }, { "cell_type": "markdown", - "id": "4f6287cf", + "id": "9bbddbf2", "metadata": { "editable": true }, @@ -4327,7 +4329,7 @@ }, { "cell_type": "markdown", - "id": "1ace6d06", + "id": "1a80c23e", "metadata": { "editable": true }, @@ -4339,7 +4341,7 @@ }, { "cell_type": "markdown", - "id": "274f98fb", + "id": "f5af565e", "metadata": { "editable": true }, @@ -4350,7 +4352,7 @@ }, { "cell_type": "markdown", - "id": "70dc1b76", + "id": "dd518e36", "metadata": { "editable": true }, @@ -4362,7 +4364,7 @@ }, { "cell_type": "markdown", - "id": "096c55e9", + "id": "082bcee9", "metadata": { "editable": true }, @@ -4380,7 +4382,7 @@ }, { "cell_type": "markdown", - "id": "0ac9bdae", + "id": "bdbc4fa9", "metadata": { "editable": true }, @@ -4396,7 +4398,7 @@ }, { "cell_type": "markdown", - "id": "a456e251", + "id": "33adf71a", "metadata": { "editable": true }, @@ -4408,7 +4410,7 @@ }, { "cell_type": "markdown", - "id": "7c817401", + "id": "3794d9a9", "metadata": { "editable": true }, @@ -4420,7 +4422,7 @@ }, { "cell_type": "markdown", - "id": "20d7bb5d", + "id": "55e25f81", "metadata": { "editable": true }, @@ -4432,7 +4434,7 @@ }, { "cell_type": "markdown", - "id": "52a9f64e", + "id": "47657755", "metadata": { "editable": true }, @@ -4445,7 +4447,7 @@ }, { "cell_type": "markdown", - "id": "77820e66", + "id": "bfdc6c11", "metadata": { "editable": true }, @@ -4461,7 +4463,7 @@ }, { "cell_type": "markdown", - "id": "dc6ab9cd", + "id": "b10b21d6", "metadata": { "editable": true }, @@ -4475,7 +4477,7 @@ }, { "cell_type": "markdown", - "id": "8a8ee502", + "id": "127632f4", "metadata": { "editable": true }, @@ -4485,7 +4487,7 @@ }, { "cell_type": "markdown", - "id": "f377b529", + "id": "ddd29440", "metadata": { "editable": true }, @@ -4497,7 +4499,7 @@ }, { "cell_type": "markdown", - "id": "e572a54d", + "id": "8f1426a9", "metadata": { "editable": true }, @@ -4507,7 +4509,7 @@ }, { "cell_type": "markdown", - "id": "1b9c72f5", + "id": "8af09cbd", "metadata": { "editable": true }, @@ -4519,7 +4521,7 @@ }, { "cell_type": "markdown", - "id": "15c56784", + "id": "fbb24d4a", "metadata": { "editable": true }, @@ -4529,7 +4531,7 @@ }, { "cell_type": "markdown", - "id": "a03c1a32", + "id": "108264c8", "metadata": { "editable": true }, @@ -4543,7 +4545,7 @@ }, { "cell_type": "markdown", - "id": "af372da2", + "id": "1df71171", "metadata": { "editable": true }, @@ -4560,7 +4562,7 @@ }, { "cell_type": "markdown", - "id": "9200f285", + "id": "94f43fa7", "metadata": { "editable": true }, @@ -4576,7 +4578,7 @@ }, { "cell_type": "markdown", - "id": "d5becae6", + "id": "35a9e26e", "metadata": { "editable": true }, @@ -4588,7 +4590,7 @@ }, { "cell_type": "markdown", - "id": "27e6e5b8", + "id": "570d029f", "metadata": { "editable": true }, @@ -4601,7 +4603,7 @@ }, { "cell_type": "markdown", - "id": "06454f55", + "id": "2920ebfe", "metadata": { "editable": true }, @@ -4615,7 +4617,7 @@ }, { "cell_type": "markdown", - "id": "833b2511", + "id": "508ef7cd", "metadata": { "editable": true }, @@ -4625,7 +4627,7 @@ }, { "cell_type": "markdown", - "id": "056aceed", + "id": "47eaf212", "metadata": { "editable": true }, @@ -4638,7 +4640,7 @@ }, { "cell_type": "markdown", - "id": "950f361e", + "id": "c88297fa", "metadata": { "editable": true }, @@ -4657,7 +4659,7 @@ }, { "cell_type": "markdown", - "id": "2d8ac5c2", + "id": "0eb1beac", "metadata": { "editable": true }, @@ -4669,7 +4671,7 @@ }, { "cell_type": "markdown", - "id": "62d04779", + "id": "f8055f42", "metadata": { "editable": true }, @@ -4681,7 +4683,7 @@ }, { "cell_type": "markdown", - "id": "797b13b8", + "id": "18b7ca49", "metadata": { "editable": true }, @@ -4691,7 +4693,7 @@ }, { "cell_type": "markdown", - "id": "bd705147", + "id": "bf084294", "metadata": { "editable": true }, @@ -4703,7 +4705,7 @@ }, { "cell_type": "markdown", - "id": "542850cc", + "id": "d2d914bb", "metadata": { "editable": true }, @@ -4716,7 +4718,7 @@ }, { "cell_type": "markdown", - "id": "db1aaf48", + "id": "28d0307c", "metadata": { "editable": true }, @@ -4735,7 +4737,7 @@ }, { "cell_type": "markdown", - "id": "6dc65433", + "id": "c1022b8b", "metadata": { "editable": true }, @@ -4745,7 +4747,7 @@ }, { "cell_type": "markdown", - "id": "ccd95a67", + "id": "9813aced", "metadata": { "editable": true }, @@ -4764,7 +4766,7 @@ }, { "cell_type": "markdown", - "id": "c15cc257", + "id": "624e1592", "metadata": { "editable": true }, @@ -4782,7 +4784,7 @@ }, { "cell_type": "markdown", - "id": "cc4a5463", + "id": "3e69238f", "metadata": { "editable": true }, @@ -4796,7 +4798,7 @@ }, { "cell_type": "markdown", - "id": "b8cfd6fa", + "id": "1adcab4e", "metadata": { "editable": true }, @@ -4811,7 +4813,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "31e1da88", + "id": "d7a3937b", "metadata": { "collapsed": false, "editable": true @@ -4832,7 +4834,7 @@ }, { "cell_type": "markdown", - "id": "24a933c2", + "id": "7668b290", "metadata": { "editable": true }, @@ -4849,7 +4851,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "8d9779ce", + "id": "22a46238", "metadata": { "collapsed": false, "editable": true @@ -4881,7 +4883,7 @@ }, { "cell_type": "markdown", - "id": "c7e322b5", + "id": "8d60df16", "metadata": { "editable": true }, @@ -4895,7 +4897,7 @@ }, { "cell_type": "markdown", - "id": "ea5682d7", + "id": "5cce022a", "metadata": { "editable": true }, @@ -4908,7 +4910,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "0e83fcbc", + "id": "ce383181", "metadata": { "collapsed": false, "editable": true @@ -4933,7 +4935,7 @@ }, { "cell_type": "markdown", - "id": "1226fab9", + "id": "5af761f5", "metadata": { "editable": true }, @@ -4943,7 +4945,7 @@ }, { "cell_type": "markdown", - "id": "923ffc58", + "id": "43c34a93", "metadata": { "editable": true }, @@ -4954,7 +4956,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "145c2622", + "id": "98ae9abd", "metadata": { "collapsed": false, "editable": true @@ -5008,7 +5010,7 @@ }, { "cell_type": "markdown", - "id": "8a657c92", + "id": "55b95089", "metadata": { "editable": true }, @@ -5025,7 +5027,7 @@ }, { "cell_type": "markdown", - "id": "522f204b", + "id": "58edec27", "metadata": { "editable": true }, @@ -5037,7 +5039,7 @@ }, { "cell_type": "markdown", - "id": "6ab032e5", + "id": "91cf5408", "metadata": { "editable": true }, @@ -5049,7 +5051,7 @@ }, { "cell_type": "markdown", - "id": "423a9a47", + "id": "9628d939", "metadata": { "editable": true }, @@ -5059,7 +5061,7 @@ }, { "cell_type": "markdown", - "id": "817b323b", + "id": "d408e7f5", "metadata": { "editable": true }, @@ -5076,7 +5078,7 @@ }, { "cell_type": "markdown", - "id": "93f4ff8f", + "id": "1266b478", "metadata": { "editable": true }, @@ -5086,7 +5088,7 @@ }, { "cell_type": "markdown", - "id": "437c6704", + "id": "e22633d5", "metadata": { "editable": true }, @@ -5101,7 +5103,7 @@ }, { "cell_type": "markdown", - "id": "fe76cb03", + "id": "594fba0d", "metadata": { "editable": true }, @@ -5111,7 +5113,7 @@ }, { "cell_type": "markdown", - "id": "71d190a9", + "id": "d70023fd", "metadata": { "editable": true }, @@ -5125,7 +5127,7 @@ }, { "cell_type": "markdown", - "id": "21d676ff", + "id": "52dc44dd", "metadata": { "editable": true }, @@ -5137,7 +5139,7 @@ }, { "cell_type": "markdown", - "id": "95bf7f81", + "id": "a2668fc5", "metadata": { "editable": true }, @@ -5149,7 +5151,7 @@ }, { "cell_type": "markdown", - "id": "3e6fccbc", + "id": "abcb6d33", "metadata": { "editable": true }, @@ -5161,7 +5163,7 @@ }, { "cell_type": "markdown", - "id": "8c261002", + "id": "a224487f", "metadata": { "editable": true }, @@ -5171,7 +5173,7 @@ }, { "cell_type": "markdown", - "id": "f9aedabd", + "id": "7d2e0786", "metadata": { "editable": true }, @@ -5183,7 +5185,7 @@ }, { "cell_type": "markdown", - "id": "b9c3ddc5", + "id": "1175c0c5", "metadata": { "editable": true }, @@ -5193,7 +5195,7 @@ }, { "cell_type": "markdown", - "id": "ed30a2b1", + "id": "bbfe6895", "metadata": { "editable": true }, @@ -5210,7 +5212,7 @@ }, { "cell_type": "markdown", - "id": "dfb0eb4a", + "id": "9e1fd41d", "metadata": { "editable": true }, @@ -5220,7 +5222,7 @@ }, { "cell_type": "markdown", - "id": "39664ac4", + "id": "2ac7e61a", "metadata": { "editable": true }, @@ -5232,7 +5234,7 @@ }, { "cell_type": "markdown", - "id": "36858bcd", + "id": "779f099c", "metadata": { "editable": true }, @@ -5242,7 +5244,7 @@ }, { "cell_type": "markdown", - "id": "1938dd21", + "id": "fe58de11", "metadata": { "editable": true }, @@ -5254,7 +5256,7 @@ }, { "cell_type": "markdown", - "id": "d89b7fce", + "id": "6f9244dc", "metadata": { "editable": true }, @@ -5268,7 +5270,7 @@ }, { "cell_type": "markdown", - "id": "a30a69b4", + "id": "0dc4a97b", "metadata": { "editable": true }, @@ -5280,7 +5282,7 @@ }, { "cell_type": "markdown", - "id": "34639fb6", + "id": "c85e169b", "metadata": { "editable": true }, @@ -5302,7 +5304,7 @@ }, { "cell_type": "markdown", - "id": "20ad8e3f", + "id": "d9c670c9", "metadata": { "editable": true }, @@ -5314,7 +5316,7 @@ }, { "cell_type": "markdown", - "id": "d9478bfc", + "id": "19f3422e", "metadata": { "editable": true }, @@ -5329,7 +5331,7 @@ }, { "cell_type": "markdown", - "id": "04d7397f", + "id": "73ba196c", "metadata": { "editable": true }, @@ -5341,7 +5343,7 @@ }, { "cell_type": "markdown", - "id": "59f21f2c", + "id": "8e045ed0", "metadata": { "editable": true }, @@ -5353,7 +5355,7 @@ }, { "cell_type": "markdown", - "id": "a309e6d5", + "id": "73a040c2", "metadata": { "editable": true }, @@ -5363,7 +5365,7 @@ }, { "cell_type": "markdown", - "id": "2c4186ec", + "id": "ad598099", "metadata": { "editable": true }, @@ -5375,7 +5377,7 @@ }, { "cell_type": "markdown", - "id": "ccd854d0", + "id": "72c59cf8", "metadata": { "editable": true }, @@ -5385,7 +5387,7 @@ }, { "cell_type": "markdown", - "id": "74eaeda4", + "id": "7d3ea89e", "metadata": { "editable": true }, @@ -5397,7 +5399,7 @@ }, { "cell_type": "markdown", - "id": "053b8482", + "id": "7180582d", "metadata": { "editable": true }, @@ -5407,7 +5409,7 @@ }, { "cell_type": "markdown", - "id": "6f8a528a", + "id": "9993e038", "metadata": { "editable": true }, @@ -5419,7 +5421,7 @@ }, { "cell_type": "markdown", - "id": "112070df", + "id": "eb3035aa", "metadata": { "editable": true }, @@ -5436,7 +5438,7 @@ }, { "cell_type": "markdown", - "id": "33e268b0", + "id": "a561bcdb", "metadata": { "editable": true }, @@ -5449,7 +5451,7 @@ }, { "cell_type": "markdown", - "id": "0de7adcd", + "id": "268ae34a", "metadata": { "editable": true }, @@ -5461,7 +5463,7 @@ }, { "cell_type": "markdown", - "id": "fa30d846", + "id": "fc03d5dc", "metadata": { "editable": true }, @@ -5471,7 +5473,7 @@ }, { "cell_type": "markdown", - "id": "d577ef22", + "id": "1ea893df", "metadata": { "editable": true }, @@ -5484,7 +5486,7 @@ }, { "cell_type": "markdown", - "id": "ce39ce20", + "id": "3ef4a051", "metadata": { "editable": true }, @@ -5494,7 +5496,7 @@ }, { "cell_type": "markdown", - "id": "960bd21b", + "id": "e250ee2f", "metadata": { "editable": true }, @@ -5506,7 +5508,7 @@ }, { "cell_type": "markdown", - "id": "7736561e", + "id": "ac02490b", "metadata": { "editable": true }, @@ -5519,7 +5521,7 @@ }, { "cell_type": "markdown", - "id": "f1043146", + "id": "aeb823e8", "metadata": { "editable": true }, @@ -5532,7 +5534,7 @@ }, { "cell_type": "markdown", - "id": "56e791a2", + "id": "185ff85c", "metadata": { "editable": true }, @@ -5544,7 +5546,7 @@ }, { "cell_type": "markdown", - "id": "dbcb265a", + "id": "1419c4ca", "metadata": { "editable": true }, @@ -5556,7 +5558,7 @@ }, { "cell_type": "markdown", - "id": "9e1a00c1", + "id": "9773136b", "metadata": { "editable": true }, @@ -5566,7 +5568,7 @@ }, { "cell_type": "markdown", - "id": "6ca6c71d", + "id": "f8b694dc", "metadata": { "editable": true }, @@ -5579,7 +5581,7 @@ }, { "cell_type": "markdown", - "id": "797658d0", + "id": "88371d47", "metadata": { "editable": true }, @@ -5591,7 +5593,7 @@ }, { "cell_type": "markdown", - "id": "ed64a13e", + "id": "171b5be4", "metadata": { "editable": true }, @@ -5603,7 +5605,7 @@ }, { "cell_type": "markdown", - "id": "fc6a2aeb", + "id": "1e835b14", "metadata": { "editable": true }, @@ -5615,7 +5617,7 @@ }, { "cell_type": "markdown", - "id": "1c956ba4", + "id": "17531870", "metadata": { "editable": true }, @@ -5627,7 +5629,7 @@ }, { "cell_type": "markdown", - "id": "ea5516df", + "id": "0e3ef48e", "metadata": { "editable": true }, @@ -5641,7 +5643,7 @@ }, { "cell_type": "markdown", - "id": "b6d61e24", + "id": "66166180", "metadata": { "editable": true }, @@ -5653,7 +5655,7 @@ }, { "cell_type": "markdown", - "id": "84765a82", + "id": "a58eac00", "metadata": { "editable": true }, @@ -5663,7 +5665,7 @@ }, { "cell_type": "markdown", - "id": "973019d8", + "id": "27eed264", "metadata": { "editable": true }, @@ -5675,7 +5677,7 @@ }, { "cell_type": "markdown", - "id": "7f074350", + "id": "dde3eff1", "metadata": { "editable": true }, @@ -5687,7 +5689,7 @@ }, { "cell_type": "markdown", - "id": "0570ceae", + "id": "fc32ef71", "metadata": { "editable": true }, @@ -5699,7 +5701,7 @@ }, { "cell_type": "markdown", - "id": "5d16ea9d", + "id": "f71d1884", "metadata": { "editable": true }, @@ -5711,7 +5713,7 @@ }, { "cell_type": "markdown", - "id": "b739c33e", + "id": "a461218a", "metadata": { "editable": true }, @@ -5723,7 +5725,7 @@ }, { "cell_type": "markdown", - "id": "dc8bc23b", + "id": "417dd2f5", "metadata": { "editable": true }, @@ -5742,7 +5744,7 @@ }, { "cell_type": "markdown", - "id": "d89da6dc", + "id": "fb40cac4", "metadata": { "editable": true }, @@ -5754,7 +5756,7 @@ }, { "cell_type": "markdown", - "id": "3b871cb3", + "id": "0220204c", "metadata": { "editable": true }, @@ -5764,7 +5766,7 @@ }, { "cell_type": "markdown", - "id": "018e1163", + "id": "5f1bd6c9", "metadata": { "editable": true }, @@ -5776,7 +5778,7 @@ }, { "cell_type": "markdown", - "id": "24f364d8", + "id": "17072bfc", "metadata": { "editable": true }, @@ -5786,7 +5788,7 @@ }, { "cell_type": "markdown", - "id": "4f695ec4", + "id": "2c11fad3", "metadata": { "editable": true }, @@ -5798,7 +5800,7 @@ }, { "cell_type": "markdown", - "id": "a4599188", + "id": "c609b962", "metadata": { "editable": true }, @@ -5810,7 +5812,7 @@ }, { "cell_type": "markdown", - "id": "0edf0a0c", + "id": "9795acef", "metadata": { "editable": true }, @@ -5826,7 +5828,7 @@ }, { "cell_type": "markdown", - "id": "9afad20c", + "id": "b2219ef4", "metadata": { "editable": true }, @@ -5838,7 +5840,7 @@ }, { "cell_type": "markdown", - "id": "33df2d17", + "id": "db852bdc", "metadata": { "editable": true }, @@ -5850,7 +5852,7 @@ }, { "cell_type": "markdown", - "id": "972e10e7", + "id": "7af957bf", "metadata": { "editable": true }, @@ -5860,7 +5862,7 @@ }, { "cell_type": "markdown", - "id": "86f89bca", + "id": "3b9a6dcb", "metadata": { "editable": true }, @@ -5872,7 +5874,7 @@ }, { "cell_type": "markdown", - "id": "c286d017", + "id": "9fe99d76", "metadata": { "editable": true }, @@ -5882,7 +5884,7 @@ }, { "cell_type": "markdown", - "id": "4dcbe7e5", + "id": "95c258e2", "metadata": { "editable": true }, @@ -5894,7 +5896,7 @@ }, { "cell_type": "markdown", - "id": "43db48d4", + "id": "61e1baef", "metadata": { "editable": true }, @@ -5911,7 +5913,7 @@ }, { "cell_type": "markdown", - "id": "17d8c95a", + "id": "706bad69", "metadata": { "editable": true }, @@ -5923,7 +5925,7 @@ }, { "cell_type": "markdown", - "id": "3c9d6593", + "id": "ff63d81f", "metadata": { "editable": true }, @@ -5935,7 +5937,7 @@ }, { "cell_type": "markdown", - "id": "a1606a04", + "id": "66436c5d", "metadata": { "editable": true }, @@ -5945,7 +5947,7 @@ }, { "cell_type": "markdown", - "id": "d192512a", + "id": "4bb26a2e", "metadata": { "editable": true }, @@ -5957,7 +5959,7 @@ }, { "cell_type": "markdown", - "id": "a60675a1", + "id": "87a71dc0", "metadata": { "editable": true }, @@ -5967,7 +5969,7 @@ }, { "cell_type": "markdown", - "id": "942fc37f", + "id": "a9ef08dc", "metadata": { "editable": true }, @@ -5979,7 +5981,7 @@ }, { "cell_type": "markdown", - "id": "4f5e067f", + "id": "f8ebfe39", "metadata": { "editable": true }, @@ -5989,7 +5991,7 @@ }, { "cell_type": "markdown", - "id": "d330f743", + "id": "e3acea6b", "metadata": { "editable": true }, @@ -6001,7 +6003,7 @@ }, { "cell_type": "markdown", - "id": "55f9b635", + "id": "24f8649f", "metadata": { "editable": true }, @@ -6011,7 +6013,7 @@ }, { "cell_type": "markdown", - "id": "5a6d1b0b", + "id": "2af184ea", "metadata": { "editable": true }, @@ -6023,7 +6025,7 @@ }, { "cell_type": "markdown", - "id": "12fd13cb", + "id": "257f939f", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js index b2905d4d1..86ab3a27c 100644 --- a/doc/LectureNotes/_build/html/searchindex.js +++ b/doc/LectureNotes/_build/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","intro","linalg","schedule","statistics","teachers","textbooks","week34","week35"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","intro.md","linalg.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],"00":[0,1,5,6,9,11,20,23,24],"000":[1,3],"0000":9,"00000":9,"000000":[5,11,23,24],"00000000e":[5,24],"000054":23,"0000e":[],"0001":1,"00010403373827253124":[],"000148":[],"00017471":24,"00018425":[],"00019998":5,"00024087":5,"00025531":24,"00028369228101198006":[],"00029012":5,"0003043256065368937":[],"0003153514830957865":6,"00031535148309580783":6,"0003153514830958081":[],"0003153514830958126":[],"0003153514830958235":[],"00034944":5,"000417932":2,"00042089":5,"000464088":2,"00046714":24,"00050694":5,"00054144":[],"00054272":[],"00057106":[],"00058016":6,"000599":[],"00060705":6,"00060708":[],"00061058":5,"00062582":[],"00062595":6,"00066668":6,"00068734":6,"00068941":[],"00068946":6,"00069103":[],"00073541":5,"00074389":[],"00075315":[],"000755":[],"00075534":[],"00076495":6,"00076905":6,"00076919":[],"00076925":[],"0007698473260556325":6,"0007698473260556334":[],"0007698473260556339":[],"0007698473260556344":6,"0007790285013223805":9,"00079123":[],"00079129":6,"00079130":[],"00079968":5,"00084705":6,"00084711":[],"000854409696581":20,"00085883":[],"00085884":[],"00085889":6,"00087697":6,"00088573":5,"00089459":[],"00092645":[],"00092646":[],"00092647":6,"00096314":5,"001":[1,2,8,13],"00100519":6,"0010479245355337968":[],"0010479245887943952":[],"0010479245926411787":6,"00105081":6,"00106677":5,"00107405":6,"00111756":6,"00112431":[],"0011526":6,"00115999":5,"0011828302640124":[],"00118368":24,"00118504":[],"00118508":6,"00118527":[],"001263":[],"00128479":5,"00128634":[],"00131939":24,"001323":6,"00137818":6,"00137823":[],"00137835":[],"00139198":24,"00139705":5,"00145838":24,"00147197":[],"00149311":6,"00149956":6,"00152117":6,"00152188":[],"00154733":5,"00156376":6,"00156379":[],"00156382":[],"00158723":24,"00162091":18,"00168141":[],"00168251":5,"00174276":6,"00174508":[],"00175331":6,"00186347":5,"001880":5,"00191249":[],"001988":[],"00198806":[],"00200":8,"00201915":[],"00202464":[],"00202624":5,"00202756":6,"00207627":24,"00217499":6,"0021877":[],"00220229":[],"00224413":5,"00228741":[],"00228742":6,"00233155":[],"00233441":[],"0023548":6,"002381316302584885":[],"002381316302584886":6,"0023813163025848865":6,"00242999":6,"00243186":6,"0024401":5,"00249435":6,"0025074":[],"0025125":[],"00252344":24,"002526":[],"00266858":2,"00267599":[],"00270244":5,"00274989":6,"00275135":[],"00287154":[],"00289724":6,"00293838":5,"002948":[],"0030828":[],"003083":[],"003100":23,"00310113":2,"00312361":6,"00315593":6,"003215318065760509":[],"0032153180657605116":6,"0032153180657605125":[],"00323332":6,"0032542":5,"003301":6,"0033955154592040923":6,"003395515459204093":[],"0033955154592040944":[],"00353823":5,"0035417":[],"00355118":[],"00355175":24,"003620":23,"0036237":6,"0036367":6,"00369758":6,"003704":[],"003717":[],"00373019":24,"003738":24,"003759":[],"003774":[],"003788":[],"0038335":6,"00388494":[],"00390021":[],"003909404072811217":[],"003909404072811221":6,"003909404072811231":[],"00391839":5,"00393128":[],"00397836":[],"0039987":6,"004":5,"00403785":[],"00406231":[],"00407056":[],"004091940707753925":6,"004091940707753948":[],"0040919407077539514":[],"00410387":6,"00410478":6,"004113634617443116":[],"0041136346174431284":[],"004113634617443131":[6,24],"004113634617443135":[],"004113634617443139":[6,24],"00411363461744314":[6,24],"004113634617443141":[],"004113634617443147":[6,24],"00415473":[],"0041559863458613296":6,"004155986345861364":[],"004155986345861374":[],"00415763":[],"00416461":[],"00424909":2,"00424967":6,"00426027":5,"00427039":[],"00431511":[],"00432302":24,"00433417":11,"00437363":24,"00440346":6,"00443743":6,"00444561":[],"00445655":11,"00449439":[],"00452742":[],"004579219539673834":6,"004579219539673836":[],"00458014":18,"00458671":24,"00458878":6,"004610275230656182":6,"004610275230656187":[],"004610275230656294":[],"00462287":6,"00465403":[],"00471782":5,"00472199":6,"00472512":6,"0049544":6,"004999999999999984":[],"00499999999999999":[],"004999999999999994":[],"004999999999999996":0,"005":[],"0050000000000000044":[],"005000000000000011":[],"00506501":24,"00512927":5,"00517114":6,"00523269":[],"00526348":6,"0053018":6,"00537912e":20,"00546438":[],"00548686":24,"0055043":[],"00554552":6,"00556826":6,"0056799":5,"00569317":[],"00577441":[],"00578738":[],"00578776":24,"00579953":6,"00588657":6,"00607783":6,"006158537606875468":[],"006162":6,"00617499":5,"00625843":[],"006275173922218319":24,"00630331":6,"00642221":6,"00645183":[],"00660427":6,"00661104":24,"0066916":[],"00672607":6,"00673393":[],"00673407":6,"00676387":6,"0068011":6,"0068094":[],"00681644":[],"00683748":5,"00683964":6,"00689391":[],"00695357":[],"007012403613997257":[],"007024126888936694":[],"007024126888938144":6,"0070241268889382116":[],"00704468":24,"00706459":[],"00708794":[],"00715835":[],"00719176":6,"00727646693":[0,23],"007315":[23,24],"00732273":24,"007334080205654388":[],"00733497":24,"00740173378493795":[],"0074331":5,"00751823":[],"00754532":[],"00758025":[],"00759119":6,"00770648":24,"00779538":24,"00779804":[],"00780259":[],"00781035":[],"007839875253055148":24,"00784393":6,"00791291":[],"00801078":24,"00803064":6,"00808144":[],"0080866254785146":[],"00813803":6,"00817056":[],"00817631":6,"00820764":[],"00823002":5,"00827728":6,"008278885543361304":24,"00831018":6,"00834567":6,"00839839":24,"008435888964550838":[],"0084603":24,"00848904":6,"0086649156":[0,23],"008675369724975977":5,"008675369724976501":[],"00867698":[],"00868337":[],"00877989":[],"008818897251043893":[],"00882596":13,"00894639":5,"008947823579448178":5,"00905423":6,"00911938":[],"009163470508352211":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00934327e":24,"00934499":6,"00934728":24,"00943261":24,"009450756365829578":[],"00950269957492606":[],"0096208":6,"00965032":[],"0097018":24,"00990475":5,"00992331":6,"00996754":6,"009981":[],"00998135":[],"00it":6,"01":[0,1,2,5,6,9,11,13,20,22,23,24],"010018312644139205":[],"010018312644139219":6,"010018312644139347":[],"01006893":24,"0100706":6,"010154":[],"01023891":[],"010239":[],"01029589":[],"010331721306655144":[],"01033172130665515":[],"010331721306655165":6,"01037947":[],"010516485576646504":6,"010516485576646513":[],"010516485576652856":[],"010530":[],"01053024":[],"01056549":[],"01066519":6,"01073921":[],"010751622516868333":[],"01076611":5,"010902":23,"0110":20,"0110407067093945":[],"01104071":[],"011076219011339788":[],"01107621901137465":[],"01107621901137467":6,"011225":2,"0113104":6,"01133171":24,"01135107":[],"0113975":[],"01152107":[],"01176895":[],"01179792":6,"01191824":5,"01199624e":[],"01200342":[],"01206708":[],"012073649439965807":[],"012073649469946107":6,"012073649472576395":[],"01207435":[],"01212754811385597":[],"01219292":6,"01222822":24,"01223198":6,"01231917":6,"0123679":24,"01242273":[],"01242803":[],"01244295e":20,"01247056":13,"01248731":24,"01256189":[],"01257962":[],"012580":[],"012633802944855959":[],"01265755":24,"012658":24,"01285424":24,"01290947":6,"01295356":5,"013121573975499602":[],"013121573975499604":[],"01312157406137079":[],"013121574061370796":[],"013121574062587286":6,"01318643":6,"01323884":[],"01326608":[],"01347916":6,"01348565":6,"013537225644261203":[],"0136671":[],"01367553":6,"01381723":24,"01397146":6,"01405935":6,"01406736":[],"01416528":6,"014209325470380275":[],"01422494":[],"01422853":18,"01433809":5,"014436800088896274":[],"014436800088896381":6,"014436800088969727":[],"01449782":6,"01458337":6,"014586":24,"01458611":24,"014599964106338128":[],"0146081":6,"01463049":6,"01471878":24,"01479194":[],"01494533":24,"01497781":[],"015072388895177088":[],"0150723888951771":6,"015072388895177109":[],"015072388895177157":6,"015072388895177239":[],"01509543":[],"01510929":13,"01530715721129232":[],"01531845":6,"01538461538462":[],"01539":[],"01542944":[],"01549377":6,"01550656":[],"01551946":[],"01558197":5,"01558461":24,"0156548":[],"01572164":24,"01574091":24,"01574375":24,"01586048":[],"01588614":24,"01588619":[],"01591355407242949":[],"01614046":24,"01619802":[],"016285782696017055":[],"016285782696017142":6,"016285782696075054":[],"01631138":[],"01633913":6,"01640891":6,"0164286":24,"01646892":23,"01654471":[],"01655318":6,"0165866":[],"016587414993037307":[],"016587414993045335":6,"016587414993045405":[],"01678286":[],"01691985":6,"01693":[],"01693278":[],"0169643":5,"01708781":6,"01708852":6,"01713366":6,"0171347":24,"01724499":5,"01725808":[],"01735584819559184":[],"017355848195591845":[],"01735584819559331":6,"017355848195593312":6,"017355848195593354":[],"01742183":[],"01751529":[],"01756972":[],"01761413":[],"017665":5,"01770163":24,"01783414e":24,"01788423":[],"01799917e":[],"01816821":24,"01817152":[],"01817919":[],"018232":[23,24],"01831036e":[],"01831130e":[],"01831200e":[],"01831207e":6,"01831251e":6,"0183718":[],"01840062":[],"01844381":[],"01852793":[],"01866537":6,"01869785e":[],"01871582":[],"01873344":11,"01873869":5,"01885351":24,"0189082":24,"01898855":6,"01905883":6,"01907538":[],"01908936":6,"01923991":24,"0193453":[],"01943082":[],"01944669":[],"01957153":[],"019587":[],"01960258":[],"01963611":6,"01969145":6,"01975416527168255":6,"019754165271682844":[],"01975416527179247":[],"01975848":6,"01990155":[],"02":[0,4,6,7,12,20,23],"02008059":24,"0202458":[],"020246":[],"02024962":6,"0202731":24,"02035804":[],"02054837e":6,"02058701":24,"02068067":6,"02073509":5,"02082761":[],"02086933":[],"02090061":[],"0209518407597062":[],"02098261":6,"0211496":[],"02123176":6,"021250026482402":[],"02129803":[],"0214539":24,"02158709":13,"02159270458799264":[],"021592704587992645":[],"021592704588021164":[],"021592704588021167":[],"021592704588021174":6,"021592704588021178":6,"02166269":[],"02195273":[],"02198702e":6,"02198703e":6,"02200044":24,"022022882954618364":[],"02206138":[],"022075":[],"02207532":[],"02208512":6,"02212776":24,"02212893":24,"02226654":24,"02228115":6,"02229529":6,"02252765":5,"022556":[],"02255619":[],"02263868":24,"02298589":[],"02299949826036602":[],"022999498260366198":6,"0229994982603662":[],"02335522":[],"02344111":[],"0234505":[],"02348765":6,"02354476":[],"023545":[],"02365049":6,"02376036":[],"02377668":18,"02383034":[],"02401344":24,"024023115996453476":[],"02408959":[],"02421521":24,"02422503":24,"02442398":[],"0245528":6,"02492265":5,"02493054":[],"02498832":6,"02503753":6,"02511518":6,"02521597":[],"02522069":6,"02539993":[],"02541796":24,"02551463":[],"02566258":[],"025709":[11,24],"02586427":6,"02596838":24,"0260906":6,"02612167":[],"02625193":8,"02625928":[],"026408391362671896":[],"02642055e":[],"02649453":[],"026605727637176654":[],"026605727637184554":6,"026605727637184558":6,"02660572763718461":[],"026605727637184613":[],"02697521163514974":[],"026986":[],"02698605":[],"02699523":18,"02701924":[],"02707227":5,"02708158":24,"02712723":24,"02723445":6,"02724253":24,"02747522":24,"027609773491022314":[],"02760977349102238":6,"027609773491022387":[],"027609773491022394":6,"027609773491022407":[],"02762405215108776":[],"02766489e":20,"02766981":24,"02783644":23,"02786488":[],"027865":[],"02803041":[],"02808201":24,"02818883":24,"02840224":[],"02857":4,"02862254":[],"02868501":[],"02900131":24,"02917662":[],"029177":[],"02917931":[],"02926396":[],"02928941":[],"029483":5,"029613363972682966":[],"02970592":24,"02971158":24,"029733":[23,24],"02976145":6,"02979908":[],"02994311":5,"02f":6,"02it":[],"03":[1,6,24],"03026672":24,"03032441e":6,"030407120354722424":[],"03056589":[],"030566":[],"030693":[],"03069324":[],"03071040e":[],"03076923076924":[],"03077640549":4,"03078597":24,"03079528":[],"03080664":24,"03099776":5,"031":5,"03168642":[],"0317159":24,"031846":[],"03184647":[],"03187054":24,"03187339273559067":[],"03196357":6,"032":6,"03206303":24,"03232013":24,"03232719":[],"03235599":24,"03251863":5,"03255258":[],"03256632e":1,"03265139":23,"03267527":6,"03278964":[],"032790":[],"03279636":6,"033":6,"0330308045180234":[],"0330308045183163":[],"0330308045183219":6,"0330308045188872":6,"0330308045190182":[],"03308408":5,"03324117":[],"03326365":[],"033264":[],"03352725":24,"033657685071527485":[],"033657685071527624":[],"03365768507152769":6,"03371334":[],"03382304823545749":[],"034047":23,"03423556":[],"03437582":[],"03447512":6,"034557":24,"0348171":[],"03483677":23,"03500198":[],"03509912":[],"03510756":24,"03523311":[],"03533092":24,"03536673":[],"03562355":6,"03568439":6,"03570747":[],"03583342":[],"0358909447132981":[],"035909":23,"0359565":5,"03610331":24,"03630548":6,"03634298":[],"03707133":11,"03724642":[],"03739357":[],"03739417":[],"037559":[],"03755944":[],"03761519":[],"03781367141738885":[],"03781367141738886":[],"037813671417388985":[],"03781367141738899":[],"03781367141738902":6,"03791967":[],"03794112":[],"03807267":[],"038073":[],"03814292":6,"03815288":6,"038300":[11,24],"03850557":[],"038506":[],"03893106":[],"039039":5,"03981057":[],"03995478":[],"0399676689527966":6,"0399676689527968":[],"0399676689527975":6,"04":[1,6,11],"040102":5,"04010697":6,"04028979":[],"04046799":[],"04063602":6,"040863":11,"04086326":11,"04087592":[],"041":9,"04100738":24,"04101587":[],"041148729430502":[],"041148729430523":6,"0411487294305246":[],"0411487294305746":[],"041148729430595":6,"04120281":24,"04179719":[],"041797190646905":[],"04193203":24,"04208001":24,"04220758":6,"04234339":18,"042708":[],"04279651270127165":[],"04284519":[],"043":9,"04315108":5,"04331431":24,"0433816":[],"04346721":5,"04355837":6,"04362":9,"04368707":[],"0437499":2,"04389027":6,"043927769551648":[],"04413933503955871":[],"04419696":[],"04423486":6,"04426744e":24,"04426816":[],"044334":[23,24],"0443659":[],"0444119":[],"044613":6,"04483457":[],"04495095":[],"04496448":[],"04516608":[],"04537385":6,"04543942":6,"04554454":24,"045603":[],"04566964":6,"04573057":24,"04573105":[],"0458":9,"0459682":[],"04615384615386":[],"04621521":[],"04637311":[],"04648335":5,"046491":[],"04649105":[],"0466":[],"04670006":[],"04673082":[],"046731":[],"046785461905835435":[],"04678736":[],"04683565":5,"04735806":24,"047737":[],"04775904":[],"04784395":6,"04785727":[],"04787099":[],"047953":[],"04818727730430286":6,"04818727730430296":[],"048187277304303056":[],"048547423739546604":20,"048653428302840175":[],"048762":[],"048818":[],"048920":23,"04892055":6,"04909093":6,"04912436":6,"04930820e":[],"049318":[],"049462":23,"0495569966278238":[],"0495569966278269":6,"0495569966278295":6,"0495569966278315":[],"04965397e":20,"049747":[],"049858":[],"0499586":[],"049960":[],"04996008":[],"04it":[],"05":[1,4,6,13,24],"05004617":[],"05009826":6,"05087958":[],"050910":[],"05100875":6,"051043":[],"051391":[],"051418":5,"051451":[],"05150928":[],"051649":[11,24],"051662":[],"0517473":5,"052206":[],"052227":[],"05227921801205679":6,"05227921801205691":[],"05227921801205692":[],"052279218012057004":[],"052305":24,"052330":[],"052372":[],"0525221":18,"05255759":[],"052581":[],"05263":9,"05268304":[],"0527437":13,"05290417684691035":[],"05302":9,"053417":24,"0536097":[],"05363779":18,"05364854":8,"05367466":[],"053678":[],"05383795":6,"053849":5,"05402365":[],"054182":[],"054244842835462305":20,"054305":[],"054335":[],"054340":[],"05434571":[],"054411":[],"05447415":6,"054491":[],"054582":[],"054585":[],"054617":24,"054650":[],"054655":24,"054774":[],"054785":[],"05483267":[],"05491655":[],"054963":[],"05505310046362":[],"05505310046363":2,"055137":[],"055153":[],"055302":[],"055320":[],"05533":9,"055337":[],"055344":[],"055369":[],"055676":[23,24],"055684":[],"055734":24,"055859":[],"05587489":11,"055875":11,"055910":24,"055958":[],"055987":24,"056127":[],"056131":[],"05614483":5,"056165":[],"056169":[],"05622775":[],"05623":9,"056233":[],"056235":[],"05635863":18,"056468":[],"05648":9,"05651951":6,"056528":[],"05667":9,"056683":24,"05698425":24,"057088709963182":[],"057163681553428394":[],"05716368155342902":6,"05716368155351588":[],"0572":[],"057300":24,"057393":24,"057418":24,"057457":24,"057469":[],"05756733":[],"057587":[],"057588":[],"057648":[],"057686":[],"057722":24,"057835":24,"05785343":6,"057877":[],"05789007":6,"057899":[],"05796251":6,"058033":[],"058035":[],"058038":[],"058040":[],"058058":[],"05807125":6,"058088":[],"05833369":[],"058343":[],"05834332":[],"058416":[],"05850532":[],"058552":24,"05855607":[],"058585":[],"058596":[],"058645":24,"058663":[],"058715":[],"058732":[],"058740":[],"058816":[],"05883":9,"05884":9,"058854":24,"058890":[],"05892262":24,"058948":[],"058952":24,"058955":[],"058957":[],"058974":[],"058996":24,"059013":[],"059031":24,"059180":[],"059272":[],"059278":[],"059294":[],"059378":[],"059437":[],"059601":[],"059783":[],"059795":[],"059807":24,"059824":[],"059933":[],"059951":24,"059952":[],"05999":9,"059993":24,"06":[6,24],"060016":[],"060048":[],"060080":[],"060083":24,"06008452":24,"060146":[],"060183":[],"06020587":6,"06021285":[],"060213":[],"060228":[],"060254":24,"060288":[],"060309":[],"06031681":[],"060349":23,"06038053":[],"06043581":6,"060502":[],"060507":[],"060550":[],"060649":[],"060655":[],"060716":24,"060756":24,"060781":[],"060841":[],"060863":[],"060872":24,"060875":[],"060963":[],"061025":[],"061028":[],"061048":[],"061054":[],"061133":[],"061144":[],"061149":[],"061163":24,"061188":[],"061209":[],"06121384":[],"061272":[],"061297":[],"061308":[],"061321":[],"061359":24,"06136773":23,"061390":[],"061443":24,"061452":24,"06150169":[],"061502":[],"061505":[],"061509":[],"061538":[],"061604":[],"06160438":[],"061614":24,"061646":[],"061679":23,"061685":[],"06168748":[],"061701":[],"061716":[],"061725":[],"061745":[],"061765":[],"061821":[],"061898":[],"061917":[],"061923":[],"061966":[],"06200174":5,"062016":24,"062061":[],"062062":[],"062064":[],"06208238634231944":[],"062082386342319454":6,"06208238634231953":[],"062089":[],"062097":[],"062136":[],"062142":[],"062195":[],"062220":[],"062292565":4,"062294":[],"062305":[],"062333":[],"062337":24,"062370":[],"062391":[],"062409":[],"062411":[],"062435":[],"062451":[],"062498":[],"062517":[],"062534":[],"062551":[],"062563":[],"062599":24,"0626202708457115":18,"062624":24,"062640":[],"062665":[],"062676":[],"062706":[],"062719":[],"062773":[],"062777":[],"062827":[],"062834":[],"062874":24,"06287717":[],"062881":[],"062884":[],"062888":[],"062920":5,"06292011":5,"062983":[],"063014":[],"063019":24,"063024":[],"063052":[],"063061":24,"063078":[],"063080":24,"063084":[],"063125":[],"063173":[],"063192":[],"06319374":[],"063241":[],"063250":[],"063260":24,"063287":[],"063343":[],"063364":[],"063371":[],"063375":[],"063401":[],"063443":23,"063493":[],"063513":[],"063524":[],"063612":[],"063619":[],"063631":[],"063653":24,"063657":[],"063724":23,"063752":[],"063781":[],"063851":[],"063857":[],"063872":[],"063874":[],"06388888888888888":[],"063894":24,"063977":[],"063979":[],"064041":[],"064052":[],"064062":[],"064074":24,"064081":[],"064108":[],"064110":[],"064184":[],"064274":[],"064284":[],"06432223":[],"064329":[],"064384":[],"064388":[],"064431":[],"06444":9,"064442":[],"064459":[],"064461":[],"064469":[],"064483":[],"064501":24,"06453579006728315":[],"06453579006728322":6,"064538":[],"064573":[],"064604":[],"064606":24,"064609":24,"064618":[],"064623":[],"064634":[],"064637":[],"064648":[],"064658":[],"064681":[],"064684":[],"064699":24,"064753":[],"064787":[],"064793":24,"064823":[],"064838":[],"064859":[],"06486061":23,"064880":[],"064896":[],"06491736":6,"064918":[],"064931":[],"064937":[],"064964":[],"06497046":[],"064974":[],"065020":[],"065026":23,"065032":[],"065077":24,"065095":[],"065106":[],"065110":[],"065118":[],"065165":[],"065168":[],"065183":[],"065228":[],"065249":[],"065252":[],"065282":[],"065314":[],"065348":[],"065349":[],"065378":24,"06538944":23,"065390":24,"065410":24,"06547790180152352":6,"06547790180152353":[],"06547790180152355":6,"06547790180152357":[],"06547790180152363":[],"065514":[],"065537":[],"065557":[],"065575":[],"065641":[],"065657":[],"065680":[],"065730":[],"065761":[],"065796":[],"065826":[],"065846":[],"065869":[],"065892":[],"065942":[],"065973":[],"065974":[],"065983":[],"06602663":[],"066051":[],"066056":[],"066064":[],"066066":24,"066093":[],"066110":[],"066189":[],"066194":[],"066220":[],"066223":[],"066228":[],"066241":[],"066270":[],"066284":[],"066309":[],"066340":[],"066348":[],"066356":[],"06637":9,"066388":[],"066449":[],"066474":24,"066500":24,"066528":[],"066553":[],"066558":[],"066569":[],"066580":[],"066590":[],"066609":[],"066612":24,"06662062":[],"066647":24,"066651":[],"066654":[],"066670":[],"066675":[],"0666807":2,"066714":[],"066729":[],"066741":[],"066753":[],"066787":24,"066789":[],"066808":[],"066828":[],"066837":[11,24],"066850":[],"066854":24,"066870":[],"066873":[],"066919":[],"066934":[],"06695337":[],"066954":[],"066999":24,"067011":[],"067079":[],"067110":[],"067141":[],"067162":[],"067191":[],"067213":[],"067236":[],"067240":[],"06724062":5,"067282":[],"067392":[],"067402":[],"067432":[],"067437":[],"067443":[],"067449":[],"067484":[],"067499":[],"067506":[],"067525":[],"067527":[],"067544":[],"067547":[],"067560":[],"067585":[],"067597":[],"067599":[],"067612":[],"067615":[],"067620":[],"067622":[],"067637":24,"067675":[],"067693":[],"067707":24,"067709":[],"067710":[],"067712":[],"067714":[],"067719":[],"067720":[],"067723":[],"067767":[],"067769":[],"067775":[],"067787":[],"067854":[],"067856":[],"067864":[],"06786925114666595":[],"067907":[],"067908":[],"067934":[],"067956":[],"068019":[],"068059":[],"068075":[],"068087":[],"068093":[],"068094":[],"068098":[],"068103":[],"068104":[],"068110":[],"068120":[],"068136":[],"068197":[],"068210":[],"068261":[],"068264":24,"068307":24,"068318":[],"068345":[],"068358":[],"068363":[],"068376":[],"068391":[],"068417":[],"068441":24,"06844519414009438":[],"06844519414009442":[],"06844519414009444":6,"06844519414009445":6,"068461":[],"068500":[],"068505":[],"068525":[],"068538":[],"068541":[],"068573":[],"06858699":[],"068593":[],"068608":[],"068619":[],"068629":24,"068642":[],"068654":[],"068659":[],"068664":[],"068689":[],"068724":[],"068727":24,"068735":[],"068776":[],"068799":[],"068806":[],"068809":[],"068831":[],"068841":[],"068852":[],"068867":[],"068906":24,"068920":[],"068937":[],"068953":[],"068965":[],"068991":[],"068992":[],"068999":[],"069010":[],"069015":[],"069028":24,"069036":[],"069044":[],"069065":[],"069085":[],"069091":[],"069181":[],"069187":[],"069202":[],"069231":[],"069242":[],"069268":[],"069275":[],"069276":[],"069281":[],"069285":[],"069355":[],"069386":[],"069408":[],"069409":[],"069421":[],"06942103":[],"069436":[],"069441":[],"069452":24,"069454":[],"069455":[],"069465":[],"069475":[],"069476":[],"069494":[],"069506":[],"069534":[],"069578":[],"069584":[23,24],"069626":[],"069640":[],"069651":[],"069654":[],"069667":[],"069672":[],"069681":[],"069685":[],"06969872":[],"069748":[],"069754":[],"069796":[],"069801":[],"069838":[],"069847":[],"069877":[],"069884":[],"069888":[],"069903":[],"069907":[],"069912":[],"069977":[],"06it":6,"07":[6,24],"070018":[],"070028":[],"070034":[],"070043":[23,24],"070056":[],"070071":[],"070074":[],"070105":[],"070146":24,"070150":[],"07016":9,"070163":[],"07017":9,"07019610e":20,"070213":24,"070216":[],"070222":[],"070276":[],"070288":[],"070333":[],"070339":[],"070343":[],"070370":[],"070379":[],"07039":9,"070419":[],"070428":[],"070429":[],"070443":[],"070450":[],"070453":[],"070457":24,"070466":[],"070491":[],"070492":[],"070494":[],"070518":[],"070562":5,"070576":[],"070582":24,"070585":[],"070612":[],"070618":[],"07062318":6,"070630":[],"070635":[],"070737":24,"070775":[],"070794":5,"070810":[],"070835":[],"070860":[],"070871":[],"070874":[],"070887":[],"070889":[11,24],"070911":[],"07093644":[],"070945":[],"070950":[],"070959":[],"070961":[],"070972":[],"070986":24,"07099747918547346":[],"071003":[],"071009":[],"071022":[],"071044":[],"071051":5,"071071":5,"071084":5,"071086":[],"071106":[],"071112":[],"071115":[],"071120":[],"071136":[],"07115":9,"071164":5,"071239":[],"071243":[],"071284":5,"07128434":20,"07129539":[],"0712953943627344":[],"0713":[0,23],"071326":[],"071329":[],"071387":[],"071388":[],"071392":5,"071394":[],"071421":[],"071438":5,"07143876":[],"071441":[],"071445":[],"07145103":11,"071460":[],"071467":[],"071476":[],"071480":[],"0714956":[],"071505":[],"071510":[],"071515":[],"071523":[],"071529":[],"071547":[],"071552":[],"071569":[],"071585":[],"07160048164232467":[],"07160048164232538":6,"0716004816423254":6,"07160048164248561":[],"071604":[],"071614":[],"071632":[],"071641":[],"071666":[],"071698":[],"071705":[],"071741":[],"071751":5,"071767":[],"071804":[],"071836":[],"071852":[],"071897":[],"071901":[],"071906":[],"071908":[],"071920625289855":[],"071921":[],"071922":[],"071935":[],"071942":5,"071946":[],"071949":[],"07195822":23,"071991":[],"072000":24,"072008":[],"072011":[],"07201957":[],"072021":[],"072041":[],"072084":[],"072091":[],"072111":24,"07212695":[],"072127":[],"072132":24,"072145":[],"072147":[],"072150":[],"072184":[],"072198":[],"072216":[],"072222":[],"072240":[],"072242":[],"072290":[],"072342":[],"072348":[],"072352":[],"072361":[],"072364":[],"072370":[],"072435":[],"072442":[],"072452":[],"072471":[],"072476":24,"072483":[],"072492":[],"072521":[],"072523":[],"072529":[],"072530":[],"072554":[],"072558":[],"072569":[],"072575":[],"072597":[],"072598":[],"072611":[],"072617":[],"072618":5,"072620":[],"072621":24,"07264063e":20,"072647":[],"072651":[],"072652":[],"072750":[],"072751":[],"072783":[],"072798":[],"072813":[],"072824":[],"072828":[],"072839":[],"07285":3,"0728785":[],"072898":[],"07291729":[],"072918":[],"072928":[],"072955":[],"072958":[],"072970":[],"072974":[],"07297557":[],"072994":[],"073013":[],"073016":[],"073045":[],"073052":[],"073062":[],"073080":[],"073105":[],"073120":[],"073134":[],"073136":[],"073159":[],"073183":[],"07319349":[],"073206":[],"073225":[],"073230":[],"073238":[],"073280":[],"073299":[],"073303":[],"073320":[],"073325":5,"073344":11,"073362":[],"073363":11,"073368":[],"073369":[],"07337358":[],"073374":[],"073380":[],"073388":5,"073391":[],"073400":[],"073423":[],"073433":[],"073436":[],"073449":[],"07345504":[],"073477":11,"073489":[],"073506":[],"073531":[],"073548":[],"073567":[],"073575":[],"073583":[],"073597":[],"073598":[11,24],"073601":[],"073629":[],"073644":24,"073647":[],"073657":[],"073668":[],"073684":11,"073695":[],"073699":[],"073716":[],"073719":[],"073750":[],"073761":[],"073768":[],"073777":[],"073810":[],"073811":[],"073816":[],"073827":[],"073831":[],"073904":[],"073907":[],"073925":[],"073938":[],"073949":[],"073959":[],"073985":11,"0739975":[],"074006":[],"074019":[],"074034":[],"074050":[],"074061":5,"074067":[11,24],"074084":24,"074111":[],"07413172":[],"074144":[],"074149":[],"074180":11,"074183":[],"074187":5,"074210":24,"07421084":5,"074237":[],"074258":[],"074276":[],"074323":24,"074336":[],"074346":[],"074375":[],"074401":[],"074418":[],"074420":[],"074453":11,"074480":[],"074488":[],"074513":[],"074530":[],"074552":[],"07456491":5,"074569":[],"074573":[],"074592":[],"074666":[],"074684":[],"074693":[],"074708":[],"074715":[],"074729":[],"074743":[],"074760":[],"074763":[],"074773":[],"074818":5,"074819":11,"074833":[],"074838":[],"074839":[],"074845":[],"074881":[],"074905":[],"07490892":6,"074922":[],"074945":[],"074969":[],"074980":[],"074984":[],"074986":[],"074992":[],"075012":[],"075014":5,"075017":[],"075020":[],"075028":[],"075043":[],"075058":[],"075061":[],"075079":5,"075102":[],"075136":[],"075138":[],"075145":[],"075149":[],"075181":[],"075188":[],"075192":[],"075195":[],"075201":[],"075222":[],"075227":[],"075228":[],"075241":[],"075262":[],"075277":11,"075302":[],"07532297":[],"075335":[],"075356":[],"07535606":[],"075389":[],"075433":[],"075498":[],"07557024":[],"075573":[],"075586":[],"075594":[],"075612":[],"075618":[],"075629":[],"07565581":23,"075728":[],"075760":[],"075770":[],"075797":[],"075816":24,"075820":[],"075829":11,"075840":[],"075863":5,"075889":24,"075899":[],"075959":[],"075982":[],"075987":[],"075996":5,"076022":[],"076055":[],"076066":[],"076079":[],"07608141":[],"076096":[],"076097":[],"076121":[],"076130":[],"076150":24,"076173":[],"076204":[],"076216":[],"076248":[],"076264":[],"076270":[],"076282":[],"076306":[],"076315":[],"076329":[],"076338":[],"076349":[],"076389":[],"0764924":6,"076518":[],"076525":[],"076532":[],"07656896":[],"076588":[],"076589":[],"076604":[],"076619":[],"076628":[],"076632":[],"076637":[],"076665":[],"076697":[],"076726":[],"076729":[],"076760":[],"07678":9,"076780":[],"076783":[],"076795":[],"076804":[],"076821":[],"076843":[],"076862":[],"076866":[],"076886":[],"076895":[],"076905":[],"07692307692307693":9,"076927":[],"076935":5,"076938":[11,24],"076942":[],"076955":[],"076958":[],"076990":[],"077003":[],"077004":5,"077009":[],"077013":[],"077015":[],"077022":[],"077033":[],"077062":[],"077079":5,"077083":[],"077108":[],"077131":[],"077140":[],"077144":[],"077158":[],"077164":[],"077168":24,"077200":[],"077203":[],"077211":[],"077219":[],"077228":[],"077291":[],"077338":[],"077349":[],"07735703":[],"077359":[],"077372":[],"077375":[],"077397":11,"077402":[],"077419":[],"077425":[],"077428":[],"077452":[],"077460":24,"077467":[],"077499":[],"077511":[],"077604":5,"077607":[],"077620":[],"077644":[],"077688":5,"077706":[],"077711":[],"077724":[],"07777777777777778":1,"077785":[],"077793":[],"077822":[],"077846":[],"077921":[],"077930":[],"077948":[],"077949":11,"077978":[],"077986":[],"078033":5,"078040":[],"078042":[],"078082":[],"078101":[],"078110":24,"078143":[],"078157":[],"078158":[],"078165":5,"078167":[],"0782":[],"07820":9,"078211":[],"078253":[],"078254":[],"078269":[],"078293":5,"07829878":18,"078299":[],"078300":[],"078314":[],"078323":[],"078326":5,"078336":24,"078432":[],"078436":[],"07844310540708652":[],"078484":[],"078508":[],"078540":24,"078542":[],"078548":[],"07858099596662704":[],"078582":11,"078587":[],"078609":[],"07864":9,"078646":[],"078651":[],"078652":11,"078667":[],"078672":[],"078697":[],"078704":[],"078707":[],"07871":9,"078710":[],"078719":[],"078725":[],"078749":[],"078759":5,"078768":[],"078771":[],"078776":[],"07878641":[],"078795":[],"078812":[],"078845":[],"078860":[],"078880":5,"078899":[],"078908":[],"078911":[],"078942":[],"078962":[],"078974":24,"07897647347778382":[],"07898165660100093":[],"078986":24,"078992":[],"078999":5,"079001":[],"079021":[],"07903849":[],"079043":5,"079056":[],"079110":[],"079142":[],"079152":5,"079157":[],"079158":[],"079179":[],"079214":[],"079218":[],"079224":[],"079225":[],"079242":[],"079260":[],"079264":[],"079268":[],"079273":[],"079278":[],"079281":[],"079298":11,"079306":[],"079347":[],"079379":5,"079383":[],"079389":[],"079405":[],"079406":[],"079424":[],"07943621":[],"079437":11,"079438":[],"07944154":[18,23],"079443":[],"079447":[],"079448":5,"079476":[],"079483":[],"079486":[],"079489":[],"079493":[],"079495":[],"079499":5,"0795449":[],"079553":[],"079558":[],"079580":5,"079609":[],"079618":[],"079622":[],"079631":[],"079676":[],"079680":5,"07968918676726029":[],"0796891867672603":6,"079704":5,"079719":[],"079729":[],"079741":5,"079745":5,"079819":[],"079823":[],"079827":5,"079839":[],"079847":[],"079882":[],"079893":[],"07989327":[],"079901":[],"079944":[],"079946":24,"079948":[],"07995375":23,"079991":[],"07999999999998":[],"07e":[],"08":[9,20,24],"080026":[],"080048":5,"080056":[],"080060":5,"080061":[],"080070":5,"080098":11,"080106":[],"080120":[],"080137":[],"080200":[],"080249":5,"080256":[],"080288":[],"080295":5,"080297":[],"080305":11,"080312":[],"080319":[],"080332":[],"080334":[],"080343":[],"080347":[],"080370":[],"080374":11,"080395":5,"080406":[],"080407":[],"080410":[],"08041015":[],"080434":5,"08043851":5,"080455":[],"080479":[],"080502":[],"080517":[],"080518":5,"080548":5,"080555":[],"080571":[],"080582":[],"080588":[],"080593":[],"080616":24,"080630":[],"080635":5,"080641":5,"080642":[],"080647":[],"080699":[],"080706":[],"080738":[],"080764":24,"080780":5,"080801":[],"080821":[],"080839":5,"08084392":[],"080847":[],"08085812":[],"080916":[],"080922":[],"080973":[],"080984":[],"080998":[],"081007":5,"081022":[],"081046":[],"081072":[],"081140":[],"081144":[],"081163":[],"081194":5,"081198":[],"081211":[],"081216":[],"081233":[],"081253":[],"081258":11,"081262":[],"081276":24,"08131003":6,"081311":[],"081321":[],"081334":[],"081343":[],"081357":[],"081388":[],"081395":11,"081396":[],"081431":[],"081468":[],"081471":5,"0814721":[],"081481":5,"081483":[],"081503":[],"081520":[],"081533":5,"081540":[],"081547":[],"081559":5,"08156108":6,"081576":[],"081613":[],"081620":11,"081637":[],"08165104":24,"081655":24,"081707":[],"081773":[],"0818000034712947":20,"081832":[],"081837":[],"081848":[],"08188077":[],"081881":[],"081932":[],"081953":[],"081989":[],"081990":[],"082014":[],"082027":[],"082040":11,"082089":5,"082105":11,"082122":[],"082139":5,"082140":[],"082145":11,"082158":11,"082166":11,"082174":[],"082183":[],"082189":[],"082204":[],"082267":[],"082282":[],"082285":11,"082286":[],"082288":[],"082295":[],"0823185":[],"082339":[],"082424":[],"082426":[],"082431":[],"082451":[],"082501":11,"082503":[],"082509":5,"08251519":6,"082536":[],"082553":11,"082569":11,"0825971":23,"082620":[],"082642":[],"082653":24,"082683":[],"08271198519070039":[],"082716":[],"082756":11,"082779":11,"082786":[],"08281969e":20,"082839":5,"082846":[],"082852":[],"082874":[],"082875":23,"082877":11,"082896":[],"082900":[],"082921":[],"082939":[],"082990":[],"08299273e":6,"083000":[],"083015":[],"083021":[],"083026":[],"083051":11,"083053":[],"083087":[],"083102":[],"083111":11,"083151":[],"083152":[],"083159":11,"08318298e":1,"083217":[],"083220":[],"08322642264994606":[],"083227":[],"083242":[],"083251":[],"083272":[],"083276":[],"08328216846752691":[],"083300":[],"083320":[],"083321":11,"08333333333333333":[1,9],"083348":11,"083361":[],"08336233266":4,"083380":[],"083399":[],"083404":[],"083417":[],"08343519179767796":[],"083441":[],"083446":11,"083485":11,"083495":[],"083506":[],"083527":[23,24],"08352721390288316":23,"083555":11,"08356774001062162":[],"083573":[],"083579":[],"083600":[],"083627":11,"083629":[],"08363087":[],"083648":[],"083681":[],"083685":11,"083691":11,"083692":[],"083694":[],"08370888":[],"08374032367704139":11,"08376632":[6,24],"083766322923899":[6,24],"0837663229239016":[],"0837663229239025":[],"0837663229239043":[6,24],"083772":5,"083779":[],"083799":[],"083829":[],"083832":11,"083849":[],"083859":11,"083899":[],"083913":[],"083935":[],"083977":[],"084000":[],"084006":[],"084008":[],"084017":[],"084018":[],"084019":[],"084024":[],"084032":[],"084076":[11,24],"084086":[],"084092":[],"084096":[],"084101":[],"084107":[],"084124":11,"084147":[],"084151":[],"084157":5,"084184":[],"084187":11,"084223":[],"084224":[],"084226":[],"084230":11,"08426840630693411":[],"08426840630693412":6,"08426840630693413":6,"084269":[],"084277":[],"084278":[],"08428156":[],"084282":[],"084286":[],"084364":[],"084391":[],"084400":[],"084408":[],"084414":[],"084422":11,"084426":[],"084434":[],"084438":11,"084444":[],"084476":[],"084477":[],"084484":[],"084523":[],"084536":[],"084541":5,"084549":[],"08455":9,"084570":[],"084604":[],"084624":11,"084629":[],"084645":[],"08464758160254343":[],"084657":[],"084663":11,"084670":[],"084682":[],"084683":[],"084685":5,"084702":[],"084728":[],"08474":9,"084777":[],"084809":24,"084846":11,"084862":[],"084904":[],"084906":5,"084909":[],"084912":[],"084920":[],"084927":[],"084936":[],"084965":[],"084979":[],"085010":[],"085018":[],"085027":[],"085044":[],"085105":[],"085108":11,"085113":[],"085163":[],"085165":[],"085167":[],"085184":[],"085185":[],"085210":5,"085224":[],"085249":[],"085252":11,"085264":[],"085272":11,"085345":[],"085361":[],"085368":[],"085384":11,"085405":[],"085410":[],"085416":[],"085484":11,"08551306":6,"085571":[],"085603":11,"085655":[],"085716":5,"085764":[],"08576932":6,"085776":[],"085876":5,"085879":[],"08593216":6,"085936":[],"086021":11,"086074":[],"086076":[],"086109":[],"08611111111111111":1,"086112":[],"08612280083325631":[],"086154":[],"086174":[],"086178":[],"086203":[],"086249":[],"086250":[],"086257":[],"086262":[],"086303":[],"08630331":[],"086322":[],"086409":[],"086420":[],"086440":11,"086460":11,"086518":[],"086524":5,"086567":[],"08657894597048958":5,"086608":[],"086610":[],"086624":11,"086665":[],"086679":[],"086705":[],"08673755293381497":[],"086802":[],"086807":[],"086809":[],"086841":[],"08684675":24,"086872":[],"086877":[],"086888":[],"086890":[],"08690":9,"086925":5,"086951":[],"086956":[],"086994":[],"086997":[],"087081":[],"087208":[],"087224":[],"087235":[],"087315":5,"08732305":23,"08734015":24,"087372":[],"087377":5,"087386":11,"087387":[],"087419":11,"087470":[],"087501":[],"087520":5,"087573":[],"08758":9,"08759":[],"087615":[],"087689":[],"087746":11,"087833":[],"087834":[],"087860":11,"087878":5,"087887":23,"087891":[],"087894":[],"087910":[],"088029":[],"088037":5,"088074":5,"088104":[],"088119":[],"088164":5,"08816688":[],"088176":[],"0881981":5,"088201":11,"088212":[],"088238":5,"088261":[],"088271":[],"088275":5,"088317":11,"088348":5,"088425":5,"088460":[],"088476":[],"088488":5,"088502":5,"088506":5,"088519":[],"088526":[],"088560":[],"088606":[],"088611":[],"088631":[],"08871404":5,"08873443359350565":[],"088754":11,"088758":[],"088760":[],"088765":[],"088778":5,"088809":[],"08881497884574564":24,"088816":[],"088825":[],"088853":[],"08887708":[],"08888888888888889":1,"088926":[],"088946":[],"088974":5,"088982":11,"08902":9,"089040":5,"089041":[],"089059":[],"089063":5,"089082":[],"08917679":[],"089177":[],"08918584":[],"089206":[],"089212":[],"08923158":24,"089233":[],"089240":5,"089246":[],"089306":[],"089310":[],"089329":[],"089355":[],"0893679":[],"089369":[],"089374":[],"089425":[],"089441":5,"089501":[],"089505":[],"089524":[],"0895387":24,"089539":24,"089551":[],"089614":[],"089683":[],"0896981":[],"089744":11,"089758":[],"089775":[],"089857":11,"089924":5,"08996":9,"089982":[],"09":[1,24],"090014704675496":[],"090028":[],"090039":[],"090128":[],"090174":[],"090229":[],"09023660662586945":[],"090241":[],"090268":[],"090270":[],"09030825":18,"090337":[],"090349":[],"09034902":[],"0903549":[],"090356":[],"090358":[],"090451":[],"090503":[],"090564":[],"090620":11,"090630":[],"090649":[],"090694":[],"090730":[],"090755":[],"090768":11,"0907831":6,"090828":11,"090830":[],"09083636328656121":[],"090849":[],"09085624":[],"090888":11,"090923":11,"090929":[],"091031":[],"091044":11,"091051":[],"091060":[],"091113":11,"09117221":[],"091209":11,"091224":[],"091236":[],"091266":11,"091311":[],"091315":[],"091340":[],"091349":[],"091363":[],"091369":11,"091376":11,"091414":[],"091416":[],"091418":11,"091426":[],"091440":[],"091445":11,"091477":[],"09149881":[],"091579":11,"091620":[],"091630":[],"091647":[],"091659":11,"09166666666666666":1,"091696":[],"0917":9,"09170751":[],"09172408":[],"09172409":6,"091772":11,"091891":[],"091896":11,"091996":11,"092007":11,"092066":[],"092126":[],"09216046":[],"092249":[],"092290":11,"0923":[],"092409":[],"092478":11,"09251":9,"09252364":[],"092524":[],"092621":[],"092724":11,"092769":[],"092879":[],"09289204":23,"09297039":[],"092998":[],"093078":[],"093247":[],"0934597075922044":[],"093497":[],"093556":11,"093593":[],"093624":[],"0938":[],"093844":[],"093930":[],"093979":[],"094082198961999e":6,"0940821989624095e":[],"0940821989643363e":6,"094082198966615e":[],"0940821989673748e":[],"094139":5,"094227":5,"094252":5,"094362":[],"09440475":[],"094404754965417":[],"09444444444444444":1,"094472507965532":[],"094477":[],"094610":5,"094619":[],"094657":[],"094722":[],"094812":5,"094848":[],"094867":[],"094925":[],"095171":[],"095184":[],"095313":[],"095315":5,"09533574":18,"095510":[],"095522":[],"095617":[],"095702":[],"0957156":[],"095871":[],"095902":[],"095935":[],"09609807":5,"096173":[],"09631112":[],"09634375e":20,"096472":[],"096516":[],"09652672":[],"096623":[],"09672929714683368":[],"09677394":[],"096833":11,"096845":11,"096872":11,"096893":[],"096894":[],"097":[],"097111":11,"097360":[],"097396":[],"097435":11,"09744":9,"09744272":[],"097602":[],"097634":[],"097710":[],"09772449":23,"09780":9,"09781386":13,"09791":9,"098069":11,"098135":[],"09849763":[],"098498":[],"09856879":[],"09861229":[18,23],"098802859381565":[],"099":[],"09903804":8,"0991919894927399":[],"09919198949274803":6,"099191989493334":[],"09951287404314545":1,"099648":[],"09964817":[],"099777":[],"0n":[0,23],"0s":[],"0x11da42d90":[],"0x11db14850":[],"0x11e031e50":[],"0x11e09b370":[],"0x128ee8850":[],"0x12946f2e0":[],"0x1336a6040":13,"0x133c2e1c0":13,"0x13b240850":[],"0x13b8c72e0":[],"0x7fad10f9a280":[],"0x7fad20f69be0":[],"0x7fd098df3280":[],"0x7fd0a9063be0":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,22],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,24],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],"1000":[0,1,2,4,5,8,11,13,14,17,20,23,24],"10000":[2,5,6,10,11,13,20],"100000":8,"10001":10,"1001":[9,20],"1002":20,"1003":20,"10030":9,"100303":[],"100358":[],"10044225464078282":[],"1005":20,"100670":[],"10077114273548984":6,"1009":20,"10097956":18,"1011":20,"1013":20,"1013904243":20,"10141413e":6,"1015":20,"102":24,"1022233262115424":[],"10222333":[],"1023":20,"10230":9,"1023111":[],"1023858":[],"1024":3,"102401":[],"102449":[],"1026":20,"1027":20,"1028":[],"103":1,"1030":20,"10302062":[],"103257":[],"10340":9,"1037":20,"10378326e":1,"1038":20,"103822":[],"10391807":6,"10398646080125035":[],"10398646080125036":6,"10398646080125037":6,"1040":20,"10405456":11,"10430":9,"104411":[23,24],"10455924":[],"1047":20,"10486183":5,"104862":5,"10505137":[],"105161":[],"105169":[],"10516924":[],"10520":9,"10555555555555556":1,"1056":[],"10589577":5,"106":[],"106095":[11,24],"10620135":[],"106431":23,"10686259":23,"107":[],"10790125813226321":24,"108":[6,9],"108359":[],"10835935":[],"10880921":[],"109":[],"10913":6,"10931453":6,"10950766":[],"10960":9,"1096767776832326":[],"10967678":[],"10th":9,"10x":[0,23],"11":[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24],"110":[],"1100":20,"1101":20,"11022302e":[],"11029323":23,"11046771":[],"111":[1,7,12],"11100":9,"1122558214":[],"112319":[],"11231934":[],"112383":[11,24],"1124":9,"1125":[],"11283168":[],"11297834":[],"1133":[],"11352543":[],"1136":[],"11362930e":[],"11366595":0,"11388888888888889":1,"1139":[],"11390":9,"114":[3,4,14],"11402309":[],"114437":[],"11462415":5,"11481199":[],"11482289e":6,"11499517":[],"115":[3,4,14],"11507992e":1,"11547777218875695":[],"11547777218875696":[],"11547777218876518":6,"11547777218940905":[],"11547777218940906":[],"115822":6,"11590":9,"11598862":[],"11598862273198":[],"116":[3,4,14],"11604844":[],"116048442683864":[],"11660":9,"11666666666666667":1,"11674401539815678":[],"117":[3,4,8,14],"117430":23,"11744554e":6,"11780":9,"11790868":[],"11793498e":20,"117986":[],"118":2,"1182":[],"1183":[],"118318":[23,24],"1184":[],"11840":9,"1185":[],"11850274":[],"1186":[],"11890":9,"119":[2,3,4,14],"119625":[],"11962537":[],"1199":[],"119936":2,"119999999999976":[],"11it":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,20,22,23,24],"120":[2,3,4,14],"1203":9,"1203284":8,"12044974":24,"120450":24,"1206":8,"12069773":[],"121":[8,9,10],"12107137e":20,"12152272":[],"1215pm":[21,23],"12160173":18,"12167821":[],"12182967":6,"12196674":[],"122":[2,8,9,10],"12222222222222222":1,"122282":23,"122439":[],"1224392":[],"12288563":[],"122886":[],"123":2,"12302855":[],"12318726e":6,"12330033":24,"12330280229368":[],"12333649":6,"12345260617257443":[],"123459876":[],"123711":6,"12380":9,"12387751":[],"124":[0,23],"12400":9,"12427889":18,"12434807":[],"1245596497124075":20,"12455965":20,"125":[],"1250":[],"125000":[],"12539459":[],"12552073e":6,"12591227":24,"126":9,"1261":9,"12618549":5,"12630042":[],"1265":9,"127":4,"1270":[],"127043":[],"1271":6,"1277":6,"127773":[],"12777777777777777":1,"127812":23,"12788968":[],"12790":9,"128":[3,4,13],"128664":6,"12871842":24,"12885048":[],"12898627064868978":[],"129":2,"12933164":5,"129332":5,"12934015":[],"12937662":[],"12945452":[],"1297":9,"1297300314822336":[],"1298":9,"12adb44b1c20":[],"12m":[],"12pm":[21,23],"13":[0,2,5,6,9,11,12,13,18,20,23,24],"130":9,"13003291":6,"13019959":11,"130200":11,"13030182":[],"13055555555555556":1,"130694":24,"13069442":24,"13083543199018746":20,"131":9,"13117061":[],"13131825":[],"1314":[],"132":[6,9],"13220608e":6,"13228567":18,"13229545716505003":[],"132360":[],"1323603":[],"1326":9,"13261136":[],"1326197715":23,"13280":9,"13288373":[],"133":7,"13320535":[],"13333333333333333":[],"13392097":18,"13393141":18,"135":9,"13519106":[],"13535942":6,"135365":5,"13536532":5,"136":[],"1360":[],"13609760e":[],"1361":[],"1362":[],"1363":[],"1364":[],"13646574":5,"13655438":[],"13661243e":6,"13679863":6,"1371":6,"13734823":[],"13740":9,"137400784702911":24,"137652":[11,24],"1378":[],"1382":[],"1383":[],"1384":[],"13847924":13,"1385":[],"1386":[],"13865173":5,"13876586436927824":[],"138775":[11,24],"1388888888888889":1,"13890":9,"1392559581788775e":[],"1392559584983597e":[],"1392559585048734e":6,"1392559591206444e":6,"13925595925919e":[],"13it":[],"14":[0,2,3,4,5,6,8,9,10,11,12,13,14,18,20,22,23,24],"140":[2,9],"14021063":6,"1404":[],"14042769":[],"140428":[],"14061742":23,"141":2,"14100":9,"1416398":6,"14174062":[],"14174745":6,"1418":9,"142":[6,9],"14231548":[],"14250":9,"14252712":[],"14277718e":24,"142857":[],"14298603":[],"143":[2,3,4,7,14],"1435666":[],"14360598":[],"1437":1,"144":[3,4,14],"14400":9,"1440501043841336":1,"14432948":18,"14440":9,"14451625":[],"1446729567":4,"14484695":[],"144993":23,"145":[2,3,4,14],"14561980e":20,"1457774":[],"146":2,"14617985":[],"147":[],"14710":9,"1472032":[],"14722222222222223":1,"147400":[11,24],"14741468":[],"147420":[11,24],"14783702":[],"1479":9,"148":[],"14812206":6,"14818":[],"14822021080294":5,"1484256":[],"148564":[],"14859":6,"148768":[],"148854":[],"149":[],"14900336":23,"149213":[],"14932651":[],"149452":6,"149655":[],"149864":6,"14988578":[],"149886":[],"14995486":[],"149955":[],"14g":6,"14it":[],"15":[0,2,3,4,6,7,8,9,12,13,14,15,16,20,23],"150":[4,8,9],"15005476":5,"150184":[],"15089627":[],"150920":[],"15092012":[],"1509778":[],"15098090e":6,"151":[],"15130074e":6,"151348":[],"151986":[],"152":9,"15200":9,"15258907":[],"152696":[],"15269628":[],"1527777777777778":1,"153036":[23,24],"153106":[],"15321987":18,"1533795":[],"153760":[],"15384615384615385":9,"15384615384616":[],"154":[],"15410688":[],"154107":[],"15442554":[],"15454301":[],"154720":[],"15483121":[],"154911":[],"155":9,"15503141":18,"15508406":13,"155491":[],"15550086":[],"155687":[],"155883":[],"156":[],"1562":[],"15626984":5,"156270":5,"15629539":[],"15680777":[],"156956":5,"157":[],"15717291":[],"1575":9,"158":9,"1582408":5,"158241":5,"1583767":[],"15843769515580663":[],"1586300629904382":[],"1587":9,"15891336":[],"15899253":[],"159":[],"1590":9,"15990":9,"15g":6,"15it":6,"15pm":23,"16":[1,2,3,4,5,6,8,9,10,14,20,23,24],"160":[],"16006961":5,"1603":3,"1604":[],"1605":[],"160539":[],"1606":[],"1607":[],"16111111111111112":1,"1612":[],"1614891":[],"16167387":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"162999":23,"163":[],"16304863":24,"163049":24,"1630775253":1,"16342407":5,"16343471":6,"16384":3,"16397496":[],"16500":9,"1655226":23,"166":9,"16660817":[],"166667":[],"167":[],"16740002":[],"167787":5,"168":9,"168044":[],"16804444":[],"16805821e":6,"16807":[],"16827044":[],"16832385":[],"16840081":[],"16961682":[],"16b8e3cda33a":[],"17":[1,2,3,4,5,6,8,9,14,18,20,24],"17084902":[],"1709":9,"171525":24,"1715252":24,"17174962e":1,"17222222222222222":1,"172405":[],"17240522":[],"1726":9,"17297886491529482":9,"17300":9,"1731":9,"17339342":[],"173439546289586":11,"17428293":23,"17446471":6,"1752":9,"175300":[23,24],"17641709":6,"17647619":6,"17676228":23,"176880142835407":[],"17709473":[],"17774184e":20,"17777777777777778":1,"17801022":5,"17826349":[],"17861098":6,"17897671":[],"17917768":5,"17930649":[],"17938393":[],"17942122":[],"17949575":5,"17953942":11,"1797":[1,3],"18":[2,3,4,6,7,8,9,10,13,14,20,23],"180":[],"18029127":5,"18036103":18,"1807":4,"1809":9,"181":9,"1810":[],"1812":9,"18156717":[],"18166474":[],"1821":9,"18264218":23,"18266178":[],"182662":[],"18276924":[],"18306165":11,"183062":11,"18327677":[],"18333333333333332":1,"18383522":24,"18393678":[],"184":9,"184519":[23,24],"184895":[],"185":[],"1851":[],"1852":[],"18526":[],"185278747229417":[],"1853":[],"1854":[],"1855":[],"186":[],"1860":9,"1861":[],"18611111111111112":1,"18613217e":6,"18657863":18,"18660":9,"18670072e":24,"18673098":11,"18682538":[],"18695705":[],"18780801":23,"18790439176058887":[],"188":[],"18826299":[],"188263":[],"1887":6,"18912963":[],"18931988":18,"189367":23,"189496":[23,24],"189622":[23,24],"18998208":[],"18it":[],"19":[2,3,4,6,9,13,14,20],"19003":6,"19032152e":20,"19096968":[],"190970":[],"191262820314401":[],"19144544":[],"19158446":[],"19166666666666668":1,"191963":23,"19207979":5,"19213479":[],"19220":9,"193":[],"19354258":[],"19379506":[],"19394283":[],"194":[],"1940":[0,24],"19404282648955e":[],"194042826653172e":[],"194042826815498e":[],"1940428268204826e":6,"194042827197027e":6,"19425617":23,"1943":12,"194325":[],"19432526":[],"1944":[],"19444444444444445":[],"19466812":[],"1950915150":[],"1954":[],"19542686939553625":23,"1956":9,"19569961":[6,24],"1961":[],"1962":[],"1963":[],"1964":[],"1965":[],"1970":[18,23],"197104":[],"19710439":[],"1973":9,"197370":[11,24],"19740":9,"197738983259782":[],"1979":6,"19800":9,"19853775e":[],"1989":[],"19890453":23,"199":[],"19937":[],"19983530":6,"19994371":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,20,23],"1d":[1,2,3],"1e":[1,2,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,23],"1s":[],"1x":[0,23],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22],"20":[0,1,2,3,4,6,7,8,9,13,14,20,21,23,24],"200":[0,2,3,4,8,9,10],"2000":[0,24],"200000":[],"20015436":6,"20038136":[],"2004":13,"2006":22,"2008":23,"2010":1,"2011":1,"2014":4,"2015":1,"2016":[0,23],"20174121":[],"2018":[0,3,4,6,14,24],"2018906331":[],"2019":[8,9],"2020":[3,4,14],"2021":[6,14,24],"2022":23,"2023":[15,16,23],"20255857":[],"2027":9,"20277777777777778":1,"20299677":[],"203":[],"20316225":[],"20320502":[],"20375361":[],"203753611274545":[],"20436207e":20,"20461136":18,"20500":9,"20509391":[],"205231":23,"206":[],"2060":9,"20609082":[],"206091":[],"20661216":[],"206640":[],"20664007":[],"2069":9,"20708879":11,"207089":11,"207545":[11,24],"20756638":[],"207888":23,"20833333333333334":1,"2086376":18,"20867052175003364":6,"20867052175006306":[],"20867052175109335":[],"20893188":18,"20893514":23,"20916295":24,"209789":23,"20980":9,"20999563":[],"21":[0,1,2,3,4,5,6,7,9,12,13,14,15,18,23,24],"210151":[],"2101511":[],"210340":[11,24],"21058097":5,"21130":9,"2116753732":4,"21169159e":6,"21265216":[],"21296315":23,"213":[],"213103":[11,24],"21328866":23,"21369083e":20,"213743":[11,24],"21435514e":20,"21472683":[],"2147483647":[],"21493572":[],"21519063":[],"21596432":6,"216290":[11,24],"21654926":[],"216683":[11,24],"21786964":[],"2188":[],"21909039":18,"21919813":[],"21922061":23,"219222942590059":5,"219249":[],"21924917":[],"21927988":[],"21944444444444444":[],"2195":[],"21985165":[],"21997099":[],"22":[0,1,2,3,4,5,6,9,12,13,14,18,23,24],"22014758":[],"220148":[],"22044605e":[5,24],"220506557673408":[],"22090974":23,"22094791":[],"220968":[],"221":8,"221180":[23,24],"22134069":[],"2216":9,"2218":9,"221805":2,"221921":5,"222400":[23,24],"2225":[],"22442417":18,"2246674023625205":[],"225":4,"22566121":18,"22567203":[],"2259440937":[],"226124657522696":[],"22612466":[],"226856":[],"22685646":[],"22690428":5,"22821344":[],"2284246870217162":6,"2284246870217459":[],"22842468702288576":[],"22842468702288582":[],"22847924":5,"22887861":18,"22893751":23,"22929905e":[],"2299":[],"22it":[],"23":[1,2,3,4,6,7,9,12,13,14,18,23],"23002365e":6,"23014274e":[],"23056012":[],"23076923076923078":9,"23095558e":20,"231":[],"23103285":[],"231224729143838":[],"2315033":[],"23167717":5,"23168292":[],"231683":[],"2321528":[],"232153":[],"232435":[23,24],"23297056":[],"23333333333333334":1,"233528":[],"2338675":24,"233868":24,"234":6,"23408962e":5,"23470374":20,"23477043":23,"23483916":[],"23522201":[],"2357089093":[],"2360682191515046":[],"2361111111111111":[],"2364":9,"23659936":[],"237038":[],"23703839":[],"23732849":[],"2379":6,"23792491":[],"237925":[],"23816792":[],"238168":[],"238574":[],"23857423":[],"23875722":18,"23962594":[],"2397":9,"23971032":24,"24":[0,1,2,3,4,6,9,13,14,18,23],"240670854503034":[],"241252":11,"24125217":11,"24140":9,"24159785":24,"2416":9,"24175744e":6,"24181044e":20,"2419":9,"24276315":[],"24279008":23,"2430":9,"24390":9,"24444444444444444":1,"244858":[],"24485843":[],"24512498":[],"24533566":[],"246":2,"2460037":23,"24611674":[],"24629107e":20,"24688732":23,"2470":[],"2476536":[],"247654":[],"24770094":[],"24782786":5,"24784064":[],"24801014":18,"24829908":5,"24848907":23,"24906604e":6,"24924624":[],"24929083":23,"249302":[],"2493023":[],"2495":[],"25":[2,3,4,5,6,7,8,9,11,13,14,15,23,24],"250":[2,4,7,9],"2500":[],"25000":[0,24],"250000":[],"250154":[],"25028968":18,"250636":23,"25115233":[],"25116851":[],"2517560119":[],"251879":[23,24],"252436":[23,24],"25253892":23,"25259666":[],"2526":[],"252866":[],"25286618":[],"25366775":[],"253668":[],"253775":[],"25385387":[],"253854":[],"255":3,"255001":[23,24],"25522012":[],"256":[2,4],"25617654e":6,"25617657e":[],"25617658e":6,"256962":[],"257":[],"2572":9,"2572495066":[],"2572e3a4b38d":[],"2575":9,"25789255":18,"25792767":[],"25845e8df859":[],"25881631":[],"25902112":[],"259153":[11,24],"2597":9,"25976336":[],"26":[2,3,4,6,9,13,14],"26015755":18,"26079358":[],"26115367":[],"261154":[],"26153846153846":[],"26181254":11,"261813":11,"26185107":[],"26186844":[],"2619":24,"26223899":18,"26290036":[],"26291585":[],"262916":[],"26294938":[],"2629493813057833":[],"26297455":24,"26301436":5,"26306244":[],"264":[],"26409315307910025":6,"2640931530791003":[],"26409315307910036":6,"2640931530791005":[],"26409315307910053":[],"264421":23,"264540221699101":11,"264666":[],"26466619":[],"265":[],"2650":9,"265109911":4,"26531223e":[],"2654":9,"26549135":[],"266":[],"26610075":[],"26666667":13,"26678445":23,"26710969":5,"26780278":5,"268":9,"26804287":5,"268043":5,"268227":[],"26822717":[],"268484":[],"26848435":[],"269":[],"26995402":24,"27":[0,1,2,3,4,6,13,14,24],"270":[],"2703":[],"27050214":[],"27090196":23,"27091656":[],"270917":[],"27092897":[],"27092910":6,"273817":5,"27381733":5,"2750":9,"27525917":[],"275341":[],"27547877":18,"27562809e":[],"27580794":24,"27621662e":[],"276263":[11,24],"27660123":[],"27692307692308":[],"27700":9,"2772":[],"2775623201":[],"27760":9,"27801122":18,"278036":[],"27803645":[],"27809912":23,"27924636":5,"27n_":20,"28":[0,1,2,3,4,6,9,13,14,16,24],"28001319":[],"280179":23,"28047021":[],"280573":5,"280647":[11,24],"28065343":[],"28067036":[],"28097861":[],"280979":[],"28102554":[],"2812":[],"28186376":18,"281930":23,"28205578e":24,"28219089":11,"282191":11,"282259":23,"282727":[11,24],"283":[],"2830637392":4,"2831603":[],"28336218e":6,"2836":[],"28390":9,"28391978":24,"28475098":8,"28590743":[],"2861":20,"28634473":[],"286345":[],"2871":9,"2873":9,"28744729":23,"2882":20,"2886":20,"2886847885377843":[],"28868479":[],"28875373":[],"2890":[0,23],"2892":20,"2895238":18,"28967287":[],"28it":6,"29":[3,4,6,7,9,14],"29082851":[],"290829":[],"29083183":[],"290832":[],"29149329":[],"2915":20,"29167186":5,"29229741":[],"2923076923077":[],"29276615":[],"29294618e":20,"2931":23,"294277":[],"2942772":[],"29512284":[],"295123":[],"2954":[],"29546690e":20,"2955":[],"2956":[],"2957":[],"2958":[],"29588901":[],"29592539":[],"296247":[],"296414":23,"29650918":23,"29661191":[],"29672381":[],"2968":23,"297":[],"2971492148":[],"2972":[],"297248":5,"29724806":5,"2980":23,"29822833":6,"298273":[],"298375":[],"298836":[],"29883607":[],"299":[3,4,14],"2990":23,"299267190588216":[],"29938171e":20,"29972182":13,"299748":[23,24],"29it":6,"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,20],"2_t":13,"2_x":20,"2b":20,"2cm":8,"2d":[1,3,11,12,17,23],"2e":6,"2f":[0,7,9,10,11,12,23,24],"2ff97f4bf03b":[],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,23,24],"2nd":9,"2p":20,"2pm":[21,23],"2pt":4,"2s":[],"2x":[0,3,8,13,23],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21],"30":[0,1,2,3,4,6,7,9,10,13,14,21,23,24],"300":[3,4,14],"30000":[0,23],"30010":9,"30035718":23,"3005849":23,"301":[3,4,14],"30119421":8,"301475":[],"3014751":[],"3017":[],"3018":[],"3019":[],"301927":[],"3020":[],"3021":[],"30258509":[18,23],"302m":[],"303":6,"30313128":18,"30337713":18,"3037":[],"3038":[],"30384239":[],"3039":[],"303m":[],"3040":[],"3041":[],"30442964":24,"30466214e":6,"304m":[],"305":[0,23],"30535506":[],"30552077":[],"30559547":[],"305m":[],"306":[0,3,4,14,23],"3063":[],"306m":[],"307":[0,3,4,14,23],"30700873e":20,"30702075":[],"3072":3,"30761405e":[],"3076923076923077":9,"30787294":6,"3079975":[],"307m":[],"308":[0,3,4,14,23],"30813073":[],"30839676":[],"30891693":[],"308917":[],"308m":[],"309":[0,3,4,14,23],"30936179":[],"309362":[],"30940":9,"30993886e":20,"30b53504a633":[],"30it":6,"31":[3,4,6,12,14,18,20],"310":[0,3,4,14,23],"310579":24,"3105791":24,"311":[0,23],"31120247":[],"311m":[],"312":[],"3120271598582915":[],"31211671":[],"31228042":[],"31229747":[],"3123314713548606":6,"31276579e":6,"312m":[],"313":[],"31311243":[],"31318084":5,"31377492":[],"314":[],"31424359":[],"314244":[],"31447174":[],"31457796":5,"315":6,"31507591":23,"31519573":18,"31531613":23,"3155":[0,5,6],"315746":[],"31574634":[],"315977":[],"31597731":[],"316":[],"31605061":[],"31614188e":[],"31644071":[],"31650694":6,"31658671e":20,"31681097":[],"316811":[],"317":[],"31718909":11,"31719317":23,"317367":11,"31768693":[],"31782593":20,"317825933186352":20,"3178411477108273":18,"317m":[],"31835835":[],"31866499":[],"31896852":8,"319803":[],"31980301":[],"31988705":18,"319m":[],"31it":[],"32":[2,3,4,6,12,13,14,18,20],"3200":1,"32039227e":[],"32047562":[],"32066545e":5,"32068012":[],"3208":2,"320m":[],"32149601703519115":6,"3214960170351912":6,"3215":9,"32179365":[],"32183101":[],"32190363":[],"32309075":[],"32320052":[],"324":2,"32450054":24,"32458459":[],"32459186":[],"324m":[],"3250":[1,6],"32512":[],"326238":[23,24],"3263505":[],"326m":[],"32714903e":5,"32721178":[],"327212":[],"32750531e":[],"32766274":[],"327883798133277":18,"32816737":[],"32903042":[],"329492":23,"3297":[],"32992274":[],"329923":[],"32it":[],"33":[2,3,4,9,12,14,18,21],"330":[3,4,14],"3303":[],"33066907e":[5,24],"33078983":[],"33079801":23,"331":[3,4,14],"3310":[],"3313155":13,"33135331":23,"33166055e":[],"3318361":23,"331939":[23,24],"331m":[],"332":[3,4,14],"332018":11,"33201844":11,"332331":[],"333":[3,4,7,14],"3331":[],"33327369":[],"333274":[],"33333333":13,"3337":[],"334":[3,4,14],"335":[3,4,14],"336":[3,4,14],"33611111111111114":[],"336801":[],"33680101":[],"337":[3,4,14],"33711888":[],"33736485":18,"338":[3,4,14],"33823452e":20,"3384":[],"33900713":[],"33956555":[],"33m":[],"34":[2,3,4,9,14,18],"340071371496255":24,"3403":9,"34040204e":[],"340583":23,"340782":[11,24],"34114547":5,"34158665":[],"341m":[],"342680":[23,24],"34305928":[],"3436":[0,23],"3437":[0,23],"34412923":24,"34498451":[],"3456":[],"345687771875474":[],"34568872":[],"34569596":5,"3457":[],"34578026":23,"3458":[],"34585355":[],"3459":[],"3460":[],"34678929":[],"346810":[],"3469819128513336":[],"34740615":[],"3498":[],"34989509":18,"34it":[],"35":[0,2,3,4,6,9,14,21,23],"35030572":[],"35074881":[],"350749":[],"35123041":[],"3514":[],"35140":9,"35147135":[],"35147532":[],"351636":[11,24],"35182854":5,"35203688":[],"35207264":[],"352073":[],"3522":[],"3525":[],"3528556":[],"352856":[],"3529":[],"3530606977":[],"35309734":18,"35319678":[],"35346808":[],"3538":[],"35396404e":[],"35401056e":[],"3543":[],"35438626":23,"3544313922":6,"3546":[],"35470445e":[5,24],"3548":[],"355":[3,4,14],"3551":[],"35533773":6,"35533774":[],"3556":[],"35562617e":[],"35568525":23,"3558":[],"355906":[],"35590603":[],"356":[3,4,14],"3560":[],"356399":[23,24],"3567":[],"357":[3,4,14],"35704388":5,"357044":5,"3572":[],"35724288e":[],"3575":[],"357508":[23,24],"3576":[],"3577":[],"35771826":6,"35771842":[],"35776087e":20,"35793003441520066":[],"358":[3,4,14],"3581341341":4,"3581571":18,"35821426":[],"3585":[],"3587":[],"35892474":[],"35894575":[],"359":[3,4,5,14],"3593":[],"35947075":23,"3594821":[],"3595":[],"3598":[],"359999999999985":[],"36":[0,2,3,4,5,6,14,20],"360":1,"3604":[],"3605":[],"3606":[],"360688":[],"3609":[],"36102113":[],"36117602":[],"3613":9,"3615":[],"361556":[23,24],"3617":[],"3621311":5,"3624":[],"3627":[],"3628":[],"363295916323784e":6,"363295916414895e":[],"3632959170548605e":[],"3632959215700067e":6,"363295924430451e":[],"363834":[],"36383443":[],"363936":[],"36393643":[],"3643":[],"3644017":[],"364402":[],"364418e97433":[],"3645":[],"3646":[],"3647":[],"365350":[],"36535019":[],"3655":[],"3655222":5,"3659":[],"3665263":[],"3668":[],"36689784":[],"366898":[],"3669":[],"36692356":23,"367":2,"3672":[],"3673":[],"3674":[],"3679":[],"36809474":23,"3684":[],"368537":5,"36853738":5,"3687":[],"3688":[],"368m":[],"369139":[11,24],"36it":[],"37":[2,3,4,6,9,14,23],"3704":[],"370782966":4,"3711":[],"37114298":18,"3713":[],"37157712":[],"3718":[],"3721":[],"3722":[],"37239927e":24,"3725":[],"3729":[],"37307168":[],"3739":[],"37396662":6,"37415316":[],"37419664":11,"374197":11,"374291":[],"37429133":[],"3748":[],"3749":[],"3753":[],"375694":23,"3759":[],"3760":[],"3765":[],"376547":23,"376559":[],"37655936":[],"376834":[],"37683438":[],"37692363":[],"37703055":[],"37713991":[],"3772":[],"3773":[],"37732":[],"377372":24,"37737221":24,"3776":[],"3777801602":6,"3779":[],"37835429e":[],"3784":[],"378664":[],"37866422":[],"37885034":23,"37900111":6,"3791":[],"379203":[],"3794":[],"379647":[],"37964744":[],"37992857":[],"37it":[],"38":[2,3,4,9,14,20],"380":9,"38019139":[],"3802":[],"3803":[],"3804":[],"3805":[],"380739":[],"38073947":[],"3811":[],"38135733e":6,"3815":[],"381627865854956":[],"38162787":[],"38168549":[],"3817475779":6,"3818":[],"3819":[],"3820":[],"382187":23,"38222896":[],"3823886":[],"382389":[],"38246359":[],"382672":[],"38267217":[],"3827":[],"382951":[],"38295101":[],"38299798":[],"3830":[],"38302314":[],"3833":[],"38336316":[],"3834":[],"3837":[],"3838":[],"383878":11,"3838783":11,"3839":[],"3842":[],"38461538461538464":9,"3850":[],"3851":[],"38533184":[],"38533185":6,"3854":[],"3858":[],"386":9,"38605872":[],"386059":[],"3861":[],"3862":[],"386294":[],"38629412":[],"38629436":[18,23],"38629844":[],"38637915":[],"3864":[],"3867":[],"3869":[],"387":[],"3871":[],"3872":[],"387482":[],"38748219":[],"3876":[],"38763091":18,"38788697":18,"388":[],"3881":[],"3882":[],"3885":[],"3886211842840971":23,"38868469":[],"3888":[],"3889":[],"389":[],"38901478":[],"38906684":[],"389067":[],"3891":[],"38916861e":6,"38962192e":6,"3898":[],"39":[0,2,3,4,9,14,21,23],"390":[],"3906":[],"39095416":[],"3914":[],"3915":[],"3916":[],"391602":[],"3917":[],"39197698":24,"391977":24,"39214397":24,"392144":24,"3922":[],"3925515884752442":[],"39272691":[],"3928":[],"3929303193461995":23,"3931":[],"39311435":[],"39384255":[],"393843":[],"3943":[],"3944":[],"39456996":[],"39493843":[],"3950":[],"3955":[],"39560937":[],"3957482":23,"39579407":5,"3958":[],"39595799":[],"3960":[],"3962":[],"3970":[],"39706038":5,"39707147":23,"39724390e":[],"3975":[],"397700":[11,24],"39789527":[18,23],"3979":[],"39794864e":[],"3980313467":6,"3983":[],"39864527":[],"39924562":[],"399246":[],"39931051e":24,"3994":[],"39943328":18,"3996":[],"399836":[23,24],"39it":[],"3bdkrb":[],"3d":[2,3,4,6,13],"3f":[1,3,9],"3n":18,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,23],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23],"40":[1,3,4,6,9,14,21,23],"400":4,"4000":[9,23],"4005":[],"4011":[],"40116777":[],"401168":[],"4012":[],"4017":[],"4017308":[],"40183706":[],"401842":[11,24],"40214433":[],"4022":[],"40236901e":[],"4027":[],"4030":[],"40340043":[],"4034668048":[],"4038":[],"40389922":[],"4039":[],"404":24,"4045":[],"4048":[],"4050":[22,23],"4055":[],"405890":[11,24],"4059":[],"40599799":[],"40620066":24,"406201":24,"40672425":23,"4068":[],"4069":[],"4075":[],"40754621":[],"4077":[],"408":[],"4082":6,"40829683":[],"408297":[],"4084":[],"4087":9,"4087793":5,"4088":[],"4089":[],"409":[],"40927184e":6,"40980089":[],"409801":[],"40a38ad763f1":[],"41":[0,2,3,4,9,14,18],"410":[],"4100":[],"4107":9,"410815":[],"41081513":[],"411":[],"4115":[],"4117":[],"41170104":[],"412":[],"41211579":[],"412116":[],"4128":[],"4131":[],"41340248":23,"41351287":[],"413513":[],"41357064":[],"41386599":18,"4143":[],"41433969":5,"4144":[],"41446721":[],"4146":[],"41511965e":1,"415201":23,"41542567":[],"4155":[2,15],"415534701258823":[],"41566661":[],"4162706317":6,"41646135":23,"4166666666666667":9,"4167":[],"4176":[],"4177":[],"418506":[11,24],"4186":[],"41876267":[],"418763":[],"41882036e":[],"41882037e":6,"41923956":18,"4192423635":[],"41958102e":[],"4198":[],"41990268":[],"41it":6,"42":[1,3,4,8,9,10,14,18],"420":[],"42028578":[],"42037468e":[],"420543":11,"42054337":11,"42078103":[],"421":[],"4212":[],"42130182":[],"422":[],"422275":[],"4224":[],"422480":[],"4224801":[],"423":[],"4230769230769231":9,"42340403e":[],"42352791":23,"42394972":[],"424":[],"42441033":5,"42449643":[],"42450":9,"42451192":18,"425":[],"4255":[],"4258989918":[],"426":[6,7],"42615374e":[],"42631342":[],"42694395":18,"427017":[],"42732954":[],"4275":[],"4284066":[],"42902155":18,"42915006":18,"43":[0,1,2,3,4,7,9,14,18],"43036842":18,"4304167":[],"43054282":5,"4310":23,"43135183":[],"43294696e":[],"43330971e":6,"43333886":[],"43482628":[],"434932":[],"43493232":[],"435163":[23,24],"43552433":[],"435567":[],"43556723":[],"43560678":[],"43579948e":6,"43639284e":24,"436462435":4,"43761347":[],"43766686":11,"4379":[],"43794243e":20,"438060758":6,"438136":[23,24],"43876695":[],"438767":[],"439230":6,"4399427":[],"439943":[],"44":[0,1,2,3,4,14,18],"44021223":11,"44065609":18,"44089210e":[5,24],"4410":[],"4411":[],"441264":23,"44152248":[],"44190304":18,"44198566":[],"442600":[11,24],"442701":[],"44270138":[],"443217":[23,24],"443538568902246":20,"44353857":20,"444":9,"44624525e":24,"446453":23,"44651551":[],"44688507e":[],"44830642":[],"44838453e":20,"44894073":24,"44970586e":1,"44997121":[],"44it":[],"45":[2,3,4,9,14,21,23],"450":9,"450257":[11,24],"4504":9,"452553":23,"45290829":[],"45372697":5,"453727":5,"45393214e":[],"454027":[],"45402701":[],"4543859":[],"4557763":11,"455947":[23,24],"456":9,"456418966187335":[],"457":2,"45741697":[],"457770268480242":[],"458027":[23,24],"458078":[11,24],"45915671e":24,"45951629e":20,"45960079":5,"45979894":18,"45985488":[],"459855":[],"46":[2,3,4,9,14,21,23],"4601":9,"461":[],"461175":[],"46153846153846156":9,"462":7,"46284227":[],"46312791":23,"46369869":23,"46383925e":6,"463861":23,"464424":[],"4644244":[],"46508305":[],"46567887":[],"466":[],"46602982":[],"46650488":[],"466505":[],"46696223":[],"4676059":24,"467606":24,"469":[],"46932688":[],"4694":[],"46984697e":6,"469868":[],"46986815":[],"47":[2,3,4,9,14,21,23],"4703":[],"47042744":5,"470714":[23,24],"47075725":6,"47116868e":6,"47125748":5,"47132891":5,"47245463":[],"472455":[],"47248297":23,"47387858":[],"47400238":[],"47432993":[],"4744":[],"4744219":[],"47478057":[],"47482507":[],"47485224":[],"475311":[],"47531107":[],"47610036":6,"47726407e":20,"47815203":11,"47920156":[],"47942814":[],"479465113":4,"48":[2,3,4,9,14],"480":23,"48089797":[],"48133064":[],"481979":6,"48212873":[],"48257387":[21,23],"48316523e":[],"483257001":13,"4837":[],"48420165":[],"48442336":[],"48476997":11,"48574149":[],"486873":[],"48687342":[],"48739546":[],"48871288":[],"488713":[],"489":[],"489522":[],"48952201":[],"48971452":[],"48994188":5,"48it":[],"49":[2,3,4,5,6,9,11,14,24],"490":[],"49052317e":20,"491":[],"49152":3,"492":[],"49242688":[],"49282737":[],"493":[],"49385454e":[],"4940954":[0,23],"49468927e":20,"49545491":23,"4959161509356135e":[],"495916150936645e":6,"495916150936654e":[],"4959161509377256e":6,"495916150938325e":[],"49614357":[],"496337":[],"49633743":[],"49636583":[],"49666527e":20,"49672291":[],"49680475019226":[],"497":[],"498":[],"499":[],"4990":20,"499012":[],"49901244":[],"4992":20,"49932427e":5,"4997":20,"49974854":[],"49992743e":[],"4b5d3mupqma":[],"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[21,23],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],"50":[1,2,3,4,6,7,8,9,10,13,14,23,24],"500":[1,3,4,6,9,10,13],"500000":[],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"501":[],"501049":[],"50104946":[],"50105159":[],"5018":20,"50219982":[],"50227564e":6,"5031474174499113":[],"50314742":[],"50321091":5,"504167":[],"50416731":[],"504881":[],"50488131":[],"50584526":18,"506":[0,24],"506553":24,"50655336":24,"50680321e":[],"50727059":[],"50754416":[],"50769230769231":[],"50799086":[],"507d50":[9,10],"50812169":[],"50835355":5,"508354":5,"50846111e":[],"50846112e":6,"50931378":18,"50it":[],"50j":13,"50x10":1,"51":[2,3,4,10,14],"510":1,"51004249":[],"51075117":[],"51108791":18,"51126895e":[],"51131471":[],"511315":[],"51146442":23,"51150176":[],"51174395":[],"511888":5,"51191552":6,"511977":[],"51197747":[],"512132":[],"51214899":[],"51265232":[],"51289697":[],"512897":[],"5138":[],"51389553":[],"514219":[23,24],"51507839":18,"51561271":[],"51578522e":20,"51656406":23,"51664729":[],"51732028":[],"517350858882083":[],"5177783846":4,"517823":[],"51782322":[],"518030":[],"51803019":[],"5188328":[],"518833":[],"518895":23,"51933924":18,"519842":[],"52":[3,4,14],"520931":[],"52093124":[],"5216048821598704":[],"521719":[],"52171908":[],"5222222222222223":1,"522758":[],"522836":23,"52307692307693":[],"52362157e":24,"52512084":11,"52580392":5,"525804":5,"5260627":[],"526744":[11,24],"52713812":[],"52723079":[],"52744746":13,"52773051":[],"52799362":[],"528115":[],"52811546":[],"52819229":[],"52839842":18,"52874252":5,"529":[],"52911941":[],"52945798e":[],"53":[3,4,9,14],"5303329":11,"5305555555555556":1,"5312":[],"531280":[23,24],"53189647":[],"53219937":[],"53254035":[],"53312754":[],"533941":[],"53394148":[],"53423784":[],"534362":23,"53479276":[],"534793":[],"53603432":[],"53611562":[],"53623614":[],"53697476":[],"53703498":6,"5378811":11,"53794784":[],"537948":[],"53815559":[],"53822787":[],"5384615384615384":9,"53846153846155":[],"539261":[11,24],"53938383":[],"539384":[],"53952479":[],"539525":[],"539683":11,"53968309":11,"53it":6,"54":[3,4,6,9,14,20],"540":9,"54016188":[],"540162":[],"54039921":5,"54041041e":[],"54078623":11,"541605":[23,24],"54163136":[],"54302039":[],"543939":24,"54393936":24,"544439":[23,24],"54445121":18,"54537329":[],"546166676":[],"546712":[],"54671213":[],"5472246386316972":[],"54722464":[],"54780216":[],"54845458":[],"548455":[],"54886137":[],"54894095":[],"54956992":18,"54969168":[],"54it":[],"55":[1,2,3,4,9,14],"5501":[3,4,14],"55026099":[],"550321":[],"55202922":[],"552731":[],"55273102":[],"5539":[],"55505907":[],"555187":[],"55518724":[],"555496":[],"5554964":[],"55553537":[],"5555555555555556":1,"55571665":[],"55578041":[],"55626454":18,"55640013":23,"5566":[],"557795":[11,24],"558080":[],"55808001":[],"558241":[],"55824107":[],"55854694":11,"5594":6,"56":[1,2,9],"56033697":5,"56071752e":20,"561":[],"5611":[],"5615":[],"56183518":[],"56198284":5,"5625":[],"56302854":[],"563167":23,"56343926":[],"5639":[],"564":9,"564374":[11,24],"56437897":[],"564379":[],"56481272":23,"565":9,"565006":[],"56500639":[],"56536":[0,23],"56556315":[],"565651":[],"56565106":[],"566":9,"566074":[],"56607416":[],"56636616e":6,"567":9,"568":9,"56848886":[],"569":[1,9],"56912044e":6,"56939714":5,"56992937":[],"57":[0,2,8,9,21,23],"570":9,"5700":[],"571":5,"571092":[],"57109235":[],"571105947979336e":[],"571105947979352e":6,"571105947979394e":6,"571105947979395e":[],"571105947979439e":[],"57154252":[],"57174058":[],"57201944e":6,"572069":23,"57266138":[],"57350724":18,"57361898":[],"574465":[11,24],"57505712":23,"576431":[],"57643113":[],"57673618":[],"5769230769230769":9,"57776818e":20,"57810065":[],"57810898e":20,"57842073e":[],"578889":[],"57888946":[],"57947706":23,"57it":[],"58":[2,9,10,21,23],"58042237":18,"58084359":[],"58112299":[],"581123":[],"58171189":[],"58187347":[],"58312967":[],"5833333333333334":9,"583595":[23,24],"58395707":[],"58428804":[],"58474054":[],"584804":[],"58492636e":24,"58590795":23,"58666142":23,"58671946":[],"5888888888888889":1,"589":[],"58986647":[],"59":[2,9],"590":[],"591":[],"591317992":4,"591594":[],"59159438":[],"59182949":[],"59190877":[],"592":[],"593":[],"593040":[],"59304008":[],"59323905":[],"59367954":[],"5944444444444444":1,"59445979":[],"594460":[],"59468796":[],"59591979":[],"595920":[],"59592669":[],"59616454":[],"596165":[],"59654302":[],"59766":[],"597660":[],"59833875":[],"598392":[],"59839245":[],"59950055":18,"59955801":[],"5cm":20,"5dd54edf2138":[],"5f":8,"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,23,24],"60":[1,2,3,6,9],"60000":4,"60133562":[],"60158334":20,"601583341274718":20,"60176806":[],"6019067271":4,"601942":11,"60194224":11,"60236782":18,"60236938":[],"60293962":5,"603494":[],"60349429":[],"603636":23,"60420593":5,"6052136":[],"60538875":[],"60543038":24,"60619654":[],"6063219":[],"606439":[],"60673226":11,"606760":5,"60685864":[],"60791699":[],"6079169911277265":[],"608028":[],"60802823":[],"60815105":6,"6084611325305795":[],"60943791":[18,23],"60975366":23,"60980325":[],"60it":[],"61":[2,7],"61033524":[],"6111111111111112":1,"61123608":[],"612939":[23,24],"613579":[23,24],"61399851":[],"613999":[],"61406871":[],"614133":[],"61413333":[],"61463451":[],"614808":[11,24],"6149274949460215":[],"6153846153846154":9,"61576236e":[],"61634314":[],"61702282":6,"617572":[],"61757228":[],"618":[],"61808351":[],"618982":[23,24],"6199381169260247":[],"62":[],"621102":23,"62168613":[],"62170669":[],"621707":[],"62249103":[],"62364974":[],"62373464":11,"624220":11,"62422045":11,"62432074":[],"625":7,"62571673e":20,"62620724":[],"626635268":6,"62683307":[],"62759057":13,"62767384":[],"62806444":23,"62894215":5,"62896882":[],"62914124":23,"629961":[],"63":[0,1,6,7,24],"6300745149331701":24,"630224":[],"63025821e":6,"63112036":23,"63115792":23,"63162342":24,"63207808":[],"63249532e":6,"63270833":[],"63281351":23,"63367582":[],"633676":[],"633949":23,"63395187":[],"63430285":[],"6343356":5,"63498144":5,"63675140":[],"637104":11,"63710438":11,"637129335071195":24,"6371293350711955":[],"637545":[],"63754524":[],"63860687":[],"63862189":[],"63901111":[],"63it":[],"64":[1,2,3,4,7,13,18,23],"64012627":5,"64033527":23,"64064128":[],"64113381e":[],"64141716e":[],"642380":[],"64238022":[],"64293754":[],"64298419":23,"6431453":[],"64425009":[],"645":[],"64528459":[],"645285":[],"64615384615385":[],"646283":[11,24],"647":6,"64736858":18,"64742912e":6,"647473":[11,24],"6489862":[],"649339":[],"64933923":[],"649382":[11,24],"64972151":23,"64x50":1,"65":[1,2,7,8,9],"65136857":[],"65280103":[],"6530742540053943":[],"65335632":18,"653578701904388":9,"6536392":24,"65442354":24,"654424":24,"65444431":[],"65522261":[],"65571174e":24,"65578316":[],"65599456":24,"6562":[],"65626043":[],"65628853":[],"657041":23,"65743689":24,"6577093":23,"65795279":18,"658":2,"65833132":24,"65885453":5,"65891389":24,"658914":24,"659":2,"659306":[],"65it":[],"66":2,"660":2,"66054752":[],"66064822":24,"66080313":24,"66087937":[],"66111673":[],"66204648":6,"66219404":6,"66226149":[],"66247212":[],"662854":[],"66285434":[],"6628996975186953":24,"66292841":[],"66294408":24,"66295776":[],"662958":[],"66310422":[],"6638":9,"66410989":[],"66443521":11,"6652177":24,"66560":9,"66614025":[],"66619972":[],"666200":[],"66620847":[],"66638078":[],"666597":23,"6669838269597004":[],"667":9,"667239":23,"668172":[23,24],"668186":[],"66818635":[],"66934291":[],"66973261":23,"66981186":[],"66it":[],"67":[2,9],"67047975e":6,"67054028":[],"671089":[],"67160204":23,"67258699":[],"672721":[23,24],"67314874e":[],"673457751724773":11,"67354673":23,"67442363":23,"67588315":[],"67591616":[],"67655635":23,"67697934":[],"67838309":[],"67882608":[],"67970864":[],"679709":[],"68":2,"68029036":[],"6808538439837775":[],"68127341":18,"68176047e":[],"68192193":5,"68246089":[],"682464":[],"68246434":[],"68279358":[],"68286725":24,"68322599":18,"6834195":[],"68485505":[],"68534263e":6,"68542204":5,"68545647e":[],"68664664":23,"6869":9,"68719389":[],"687194":[],"68731669e":20,"6887363571":4,"68886089e":20,"689230294669661":[],"68929213e":6,"689345":23,"68944595":[],"689519":[11,24],"68965135":[],"68it":6,"69":[2,7,9,20],"690":9,"69023787":[],"690569639355314":[],"69061276":[],"690617":[23,24],"69069n_":20,"69115646":[],"6914791":23,"69154964":18,"692":1,"6923076923076923":9,"69295955":[],"6943316601792833":[],"69481746":[],"69484813e":[],"69493539":[],"69504801":6,"6960326":[],"69634577e":6,"69695259":5,"69764852":18,"6984511994530214":[],"69908626":6,"69985355":[],"6999536":11,"69it":[],"6e75736fdab1":[],"6f7a6bd7d79f":[],"6m":[],"6n_":20,"6pm":23,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,18,19,20,22,23,24],"70":[1,6,7,9],"70037324e":24,"70127680":[],"701370":5,"70179437":[],"70205195":[],"70208087e":20,"70354373":[],"703716d317a7":[],"70434005":[],"7050":[],"70501534":18,"70598996":[],"70653767":4,"70710678":[5,24],"70721787":[],"707218":[],"70727837":[],"70769586":[],"70831425":[],"70832814":5,"7086067479626619":24,"709698":23,"70980493":[],"70it":6,"71":1,"71131626":[],"71142161":24,"711422":24,"7119":9,"712018":[11,24],"713163":23,"7134":[],"713487":[],"71348713":[],"71350226":[],"71441535":[],"7151":[],"71721168":[],"71737253":24,"71760245":[],"71761101":24,"718165":5,"71822416":[],"718697":[],"71869727":[],"72":[],"72057967":[],"72101205":[],"72174172":11,"722047011333792":[],"7221662":23,"72228205":23,"7225597":23,"72261919":[],"72271878e":6,"72347283":[],"7236674":5,"72373129":[],"72394787":[],"724":3,"72509099":[],"72522848":[],"72567956":5,"725680":5,"72594302":[],"72671218":[],"72855434":18,"72859758":5,"7293182":[],"72981762":8,"72986500e":20,"73":[2,6],"73005463":[],"7306310662842432":[],"731000":[23,24],"73174557":[],"73287103e":[],"733096":[23,24],"73406033e":[],"73484667":[],"735738558766299":[],"73573856":[],"737386":5,"73738602":5,"73752910":[],"7386068":[],"73947737":5,"73it":[],"74":[2,6],"740":9,"74081822":8,"741264":[],"74126425":[],"742975":[],"74297504":[],"74368436":[],"74384949":24,"743u":[],"7448615806559786":[],"74607851":24,"7469898175164704":[],"747224":11,"74722409":11,"74829661":24,"74840212":5,"7484669886413582":[],"74935095":18,"74943449":18,"749765":[23,24],"75":[2,5,6,8,9,11,23,24],"7501749450963715":[],"750445":[23,24],"75050135":24,"750u":[],"75106135":[],"75118364":[],"751275":[],"75127504":[],"751699":[11,24],"75170092":5,"75269037":24,"75350216":[],"75357263":11,"753573":11,"75361646":[],"753846153846155":[],"75453081":18,"7546383166870465":[],"75492292":18,"75517445":[],"75576555":24,"75621895":23,"756232":[],"75623206":[],"756352":[23,24],"75670484":5,"756705":5,"75703965":[],"757040":[],"75770568":24,"758193":[],"75819326":[],"75838233":[],"75it":[],"76":[2,9,21,23],"7601030735620569":11,"76060096":[],"76063234":[],"76066069":[],"763u":[],"76400155":23,"7643536":[],"765":7,"76529528":[],"76674796":[],"76731400e":[],"76802186":[],"768813":[],"76881337":[],"7692307692307693":9,"76923076923077":[],"76936315":5,"7694444444444445":1,"7696835316227453":11,"77":[2,9,21,23],"77034458":[],"770345":[],"7705527590466072":[],"77070756":5,"770708":5,"77085375":[],"77152076":5,"7718":9,"773329728649545":[],"77332973":[],"77333117e":[],"774300":[],"77494715":[],"775":[],"77559332":[],"77618224":[],"77627886":[],"77632220e":[],"77636e":13,"77662945":[],"7767978193240488":[],"77711437":[],"77714169":8,"77754132e":[],"7782028952":4,"77859437":23,"77865169":[],"77954956e":5,"78":2,"78009660e":24,"78011544":[],"78156479e":[],"78184120e":6,"78286771":[],"78329097":23,"7843182645426894":[],"78459267":18,"7846153846154":[],"785061":23,"7851533175757255":[],"78561443":18,"78596961":[],"7860324":18,"78674758":[],"787349":[],"7873493":[],"78752269":[],"78941903":5,"78972773":23,"78988962e":[],"79":2,"79009329":[],"790818":[],"79081838":[],"79093776":[],"79111643":5,"791123":[],"79135075":[],"79145214e":[],"7923086060375724":[],"79230861":[],"793167":[23,24],"79394867":[],"7939646":[],"79419162":23,"794282":[11,24],"79441434":[],"79449156":[],"79512696":[],"79552752":[],"79602861":[],"79754246":[],"797e":6,"79856831e":[],"798761":[],"79876149":[],"7bsq":[],"7c394b1e8b71":[],"7d7d58":[9,10],"7f2b3a6174c2":[],"7jexgh5soo":[],"7m":[],"7odqolophta":[],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],"80":[0,1,2,5,6,8,9,24],"800":[4,7],"800615":[],"80108096":23,"80162359":[],"802796":[],"80279641":[],"80280228":[],"80315282":[],"803153":[],"80354994":6,"803804":[],"80380438":[],"80422999":20,"80469739":5,"8049181":[],"8055555555555556":1,"80561191":[],"80609615e":6,"80609616e":6,"8064":[],"80661365":[],"806614":[],"80728853":[],"80734875":[],"807349":[],"80738685":[],"8074242":[],"80747253":[],"80842254":[],"808423":[],"80847477e":6,"80947943":23,"80961969e":20,"80994952":[],"81":[1,2],"81048318e":6,"8108619":[],"81160425":5,"81187794":[],"81333804":6,"81333805":[],"81388724e":[],"814":[7,11],"815563":[],"81592628":[],"815am":[21,23],"81633628":11,"816454":[23,24],"81656508":23,"81671821":[],"81681019":[],"816847":[23,24],"8175":[],"818059":5,"81805914":5,"81912272":[],"8192798":[],"81955926":[],"81974332":[],"82":2,"82027884":18,"82073684":[],"8219235992494145":[],"8219236":[],"82198978":5,"82358522":[],"823585220707946":[],"82454365":[],"82484316":[],"82592":18,"82650876":[],"826509":[],"8265786":5,"82747653":[],"827477":[],"82750687":18,"82773778":[],"828190347382744":[],"82819035":[],"82949718e":20,"829648415811072":[],"82964842":[],"82997013e":5,"83":[2,23],"8305555555555556":1,"83320794":11,"833208":11,"8338786":[],"834027":[],"83402742":[],"83512277":5,"83516719e":20,"83632853":11,"836874":[],"83687444":[],"83698677":[],"83757843":[],"83760781":23,"839818":23,"83982725":[],"83999999999999":[],"83it":[],"84":2,"84062065":[],"84203538":[],"84228957e":[],"84232163":[],"842436":[23,24],"84292394":[],"842u":[],"84310736":[],"84317815":18,"84355903e":1,"8437169762110144":20,"84371698":20,"84443254e":1,"84569271":[],"84614066":[],"8461538461538461":9,"84653115":[],"84780262":6,"84854738":[],"848618":[],"84861838":[],"84886051":[],"848861":[],"84923989e":6,"84924834":[],"84942942":[],"84977962":[],"84994524":5,"85":[1,2,9],"850164":5,"8503720991789538":[],"85065653":[],"85086629":[],"85091337":[],"85102768":11,"85104809":18,"85120833":[],"85263220":6,"8527777777777777":[],"85278920e":[],"853241":[],"85324115":[],"853835":23,"853u":[],"8548082":[],"8557822":[],"85601992":5,"85694362":[],"85758696":[],"858":9,"858185":23,"8583333333333333":1,"85843684":[],"85953586":[],"85959007":[],"85it":6,"86":2,"8608479":[],"860848":[],"861":[],"86117291":5,"86134827":5,"86145244":11,"861676":23,"86171505":[],"86181269":18,"86252988":6,"86361743":[],"8638888888888889":1,"86425056":[],"864251":[],"86478158":[],"865158":5,"86515815":5,"86546962":[],"86550074":[],"86572911":23,"86623151":[],"86630":9,"86635201e":20,"8666666666666667":1,"86810":9,"86879198":[],"868792":[],"86893619":[],"869":[0,23],"86905621":[],"86925797":[],"869258":[],"87":[9,24],"870":[0,23],"8702784034":4,"8705211":[],"87072815e":24,"87099757":18,"871":[0,23],"87191952":[],"871920":[],"872":[],"8722222222222222":1,"87243817":[],"873":[0,23],"87327414":[],"87379129":13,"87381451":5,"874":[0,23],"874951":[],"87495119":[],"875":1,"8759":13,"876":6,"87618586":13,"87625493":[],"87647541":[],"876664":[],"87666423":[],"87667593906086":[],"87667594":[],"8768":[],"878123":23,"878297":[],"87836018":[],"87849647":[],"87902877":23,"8792323":[],"879271":[],"87927126":[],"87927601":[],"87940752":[],"87it":[],"88":[2,13],"88001352":[],"88017651":[],"880177":[],"88031314":[],"88046261":5,"8805555555555555":1,"88063413":[],"88118231":[],"88137798":[],"88168312e":6,"881788":[],"88182591":24,"8826033":[],"88274486":23,"883":[],"88323026":24,"88335933":18,"88336879":5,"884":[],"88450476":18,"884669":24,"88477619":[],"885":[],"8850944":24,"88512489":[],"88529063e":6,"8855417382991412":[],"88554174":[],"88560514":[],"88595926":[],"886":[],"88613493":24,"8866190885623907":[],"88661909":[],"88679947":[],"887":[],"887366":[],"88736621":[],"88746795":[],"8879":[],"88871662":[],"8888888888888888":1,"889080":[],"88908038":[],"8894":[],"889686":[],"89":[0,2],"89045167":[],"89126914e":24,"8916666666666667":[],"89274639":[],"89288636":11,"89298533":[],"89335182":[],"893352":[],"893489":[],"89348922":[],"89396164e":20,"89410423":5,"8944444444444445":1,"89543736":23,"89545727":[],"89550839":[],"89565264":[],"89582298":[],"8962476":[],"896248":[],"89842298":18,"89873772":[],"89876748":[],"8991514":[],"89944994":[],"899450":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,20,21,23,24],"90":[1,2,6,9],"900449":[],"9005135872087155":[],"90054363":[],"90066122":[],"9007164":[],"90075537":5,"9011":6,"90220243":5,"90252116":18,"90266948":5,"90268858":[],"9027777777777778":1,"9033":[],"90342093e":20,"903824":[],"90382431":[],"904":[],"9040":9,"904221":18,"90475506e":6,"90491568e":20,"90540529":[],"9055555555555556":1,"90559087":[],"905591":[],"90595152":[],"906298":11,"90629812":11,"906747":5,"90694878":[],"9083333333333333":[],"90884627":[],"90895045":[],"90940378":[],"90999452e":[],"91":[21,23],"910":9,"9111111111111111":1,"91124889":[],"91128596":5,"912u":[],"913":[],"91346044":18,"91379157":[],"913791573406831":[],"91383439":[],"91396388":[],"914":[],"91416375":[],"91479093":[],"91492986e":6,"915":[],"91511388":[],"91549644":[],"915549":5,"916":[],"91616374":[],"916164":[],"9166666666666666":9,"91682433":[],"917":[],"91760278":5,"918":[],"91812702":5,"918992":[23,24],"919":[],"91936525":23,"9196398947631166":[],"91it":[],"92":[6,9,21,23],"92087142":[],"9212905":[],"921291":[],"92143477":[],"921435":[],"92208477":[],"922085":[],"92272314":[],"922u":[],"9230769230769231":9,"92343595":[],"923602":23,"92373266":[],"924018":[],"92461411":[],"92477093":[],"924e":6,"925":1,"92507116e":1,"9252772":[],"92578916":5,"92603747":[],"92626212":[],"92631966":[],"926320":[],"926583":[],"92658312":[],"92738529e":20,"92754397":[],"927544":[],"9277777777777778":1,"92811987":[],"92817032":[],"92819235":[],"92857143":7,"92888885":[],"9292":6,"92921648":[],"92968793":[],"92it":[],"93":[],"93023603":13,"93037171":[],"930372":[],"9305555555555556":1,"930583":[],"930683":[],"93082503":23,"931":[0,23],"93155188":5,"93158979":5,"93188452":[],"931885":[],"93248252":[],"932483":[],"932u":[],"933":5,"93325497":[],"93371943e":20,"93386901":18,"93414191":[],"93492130e":6,"93522293":13,"93579127":[],"93586895":[],"935u":[],"93601008e":24,"9361111111111111":[],"936762":[],"93676229":[],"936856":[],"93685631":[],"937":20,"937082":[23,24],"93799826":5,"938":20,"9383327":24,"9387":9,"939":[0,20,23],"94":[7,20],"9400":[],"94054854":[],"940549":[],"94076632":18,"940776":[],"94077605":[],"94107596":[],"94117118":23,"941866404575299":[],"94212937":[],"94226022e":6,"94227931":23,"9424":[],"94273542":24,"94284104":5,"94320205":5,"94321297":[],"9444444444444444":1,"945":[],"94548496":[],"94591015":[18,23],"946":[],"94639099":11,"946393":[],"94659383":[],"946957":5,"947":[],"9472222222222222":1,"94735055":[],"947903":[],"94790323":[],"948":[],"94822514":6,"9482527":5,"948641":[],"94867516":20,"948675162607389":20,"949":[],"94905663":[],"94915262":[],"9492866":18,"94986593":[],"95":[1,7,9,11],"95008046":6,"95011994e":20,"95054046":[],"95079764":[],"95136998":0,"95231424":5,"952387":24,"9524":[],"9527777777777777":1,"95284275":5,"95302":[],"953065564":1,"95351665":5,"9538239":[],"954":20,"95446837":[],"9549351910143222":[],"954988":[],"954u":[],"95511792":24,"955118":24,"9555555555555556":1,"95569422":[],"955820c21e8b":4,"95645365":11,"956454":11,"956563":[11,24],"95684892":5,"95703":13,"95714723":[],"957147232685324":[],"957421":[],"95742107":[],"958228616652075":[],"9582286166520774":5,"95824108":18,"958476":[],"95911004":18,"95994091":[],"95it":[],"96":[6,7,11],"960":20,"9601304850018328e":[],"960130485007504e":6,"960130485007934e":[],"9601304850213484e":[],"96013048502692e":6,"96024953":5,"96032148":[],"96081861":18,"96084663":5,"961":20,"962":20,"96251494":18,"9626883":[],"962990":23,"9631064":23,"9635449873404844":[],"9637117593816477":6,"96390357":[],"9640435":5,"964268":[],"96426825":[],"96431281":23,"964735":[],"96473528":[],"96489434":[],"9649652536":4,"96496641":18,"96527903":[],"96534137":18,"96551427e":[],"96552318":23,"965548":[23,24],"96601782":[],"96606158":[],"96620033":[],"96631321":24,"96653373":[],"96670977":[],"96686324e":[],"96688672":5,"966899":23,"9674916":5,"967536":[],"9675364":[],"96769675":[],"9678":[],"967809":[11,24],"96812218":[],"96863851":[],"96941962":23,"96987657":[],"96992454":[],"96it":[],"97":7,"97005689":5,"970057":[],"970477":[],"97047717":[],"97065296":[],"97108e":13,"97117751":[],"971688":18,"97202":[],"9722222222222222":1,"972286":11,"97228638":11,"97230501":[],"97243128":5,"97300836":5,"97305528e":20,"97434186":[],"97477238":[],"97497404e":6,"975":1,"97507735":5,"97509292":23,"97547354":[],"97547354476579":[],"975510299261579":[],"9760832":[],"97656972":13,"97705827":5,"97708897":11,"977089":11,"97713364":18,"977418":[],"97758848":5,"9777777777777777":1,"977880":[],"97788031":[],"9780387310732":22,"9780387848570":22,"9781492032632":22,"97840468":[],"978553":5,"97898392":[6,24],"97906022e":24,"97926491":5,"97952271":18,"97955570e":20,"97980332":13,"97it":[],"98":[0,1,7,9],"980":9,"98017611":[],"98036405":[],"9805555555555555":1,"98091621":5,"98129668":23,"981321":[23,24],"98139097":5,"98153145":[],"98248312":[],"98249059":[],"982491":[],"98266587":[],"98275501":5,"982758":[],"98275836":[],"98316352":[],"983164":[],"983310":[23,24],"98346748":[],"9835443722554817":[],"98399675":[],"98400474":18,"98413059":5,"984525":[],"98454786":5,"98467494":[],"985":20,"98566191":5,"98581925":18,"986":20,"9861111111111112":1,"986699":5,"98680716":5,"98699753":[],"98716878":5,"98740124":[],"98756882":[],"98794823":[],"9879924":[],"98808176":5,"98822371":6,"9888888888888889":1,"989":20,"9890348":5,"9893149172528393":[],"9893447":5,"98947894":24,"98950411":23,"9898254753574576":[],"98982548":[],"9898ff":[9,10],"99":[7,9,11,13],"990":9,"99009525":5,"9902552771282336":[],"99049330":[],"99051150":6,"99088801":5,"991":20,"99115119":5,"99157584":[],"99176998":5,"992":20,"9920099299023244":[],"99242921":5,"992504":11,"99265097":5,"99274513":[],"993":20,"99316252":5,"99353454":[],"993535":[],"993537":[],"99353748":[],"99371056":5,"99374388":[],"993865":[],"99389612":5,"993972":[],"99397245":[],"9940672992288855":[],"9943201":5,"99435648":[],"9947756":5,"99492986":5,"99498108":[],"99519225":[],"9952495547161103":[],"99528218":5,"99539415":5,"9954911579937146":[],"9955282554647219":[],"9956582":[],"99566069":5,"99578809":5,"9959293935368551":20,"99594988":[],"995950":[],"9959898232423614":24,"996":5,"9960039497353536":24,"99608161":5,"9962074631757628":24,"9963864072152893":[],"9963961":5,"99650061":5,"996694948530336":[],"9967458":5,"99700706":5,"99709215":5,"99724883":[],"99729756":5,"9973102337301051":[],"99751458":5,"99758326":5,"99775587":5,"99775949":[],"99793613":5,"99799099":5,"99813653":5,"99820454":[],"99828624":5,"99829953":[],"9983295":5,"99845267":5,"99854557":24,"998577":5,"99861053":5,"99862019":24,"99869482":24,"99871521":5,"99876945":24,"99881845":5,"99883628":24,"99884384":5,"99884409":24,"99891093":24,"99891873":24,"99893323":5,"99898558":24,"999":[9,20],"99901896":5,"99903755":5,"99906023":24,"99911427":5,"99912709":24,"99913489":24,"99918546":5,"99919837":5,"99920175":24,"99926459":5,"99927642":24,"9993237":5,"99933188":5,"9993511":24,"99938942":5,"99941797":24,"9994385":5,"99944272":5,"99949266":24,"99949306":5,"99953381":5,"99953475":5,"99956735":24,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":24,"99970988":5,"9997332":5,"99975913":5,"99977416":[],"99977849":5,"99978365":24,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989476":5,"99991263":5,"99992698":[],"999927":[],"99992746":5,"99993978":5,"99995":5,"9999555851685968":[],"999955585168597":6,"9999840939906267":[],"9999858320366368":[],"9qcu8vcxxru":[],"9x":6,"9y":6,"\u00f8yvind":[6,24],"abstract":1,"boolean":4,"break":[0,4,6,11,14,23],"byte":[18,23],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,23],"catch":[0,23],"char":[],"class":[0,1,3,4,6,7,8,9,11,12,13,20,23],"const":[],"default":[0,1,2,4,6,7,13,16,18,23,24],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,24],"ekstr\u00f8m":4,"eng\u00f8i":[],"enum":[3,4,14],"export":9,"f\u00f8470":[21,23],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,20,21,23],"float":[0,3,4,5,9,11,13,14,18,23,24],"function":[2,3,4,5,9,14,15,16,17,18],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,16,20],"int":[0,1,2,3,4,5,6,11,13,14,18,20,24],"long":[0,1,3,4,12,13,23],"m\u00f8svatn":6,"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,23,24],"null":23,"public":[0,3,4,14,17,23],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,20,23,24],"s\u00f8rli":[],"s\u00f8rlie":[],"sch\u00f8yen":[6,24],"short":[4,5],"steinsv\u00e5g":[],"super":[5,24],"switch":0,"throw":[3,6,20],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,20,23,24],"try":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,23,24],"var":[1,5,6,10,11,13,20,23,24],"while":[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,24],AND:2,And:[0,3,4,5,6,9,13,17,20],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,20,23,24],At:[0,4,6,13,23],BE:[0,23],Be:[2,17,23],Being:13,But:[0,1,2,3,5,6,9,10,20,24],By:[0,3,5,6,12,13,18,23,24],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24],IF:6,IN:22,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],Is:11,Ising:[5,12,24],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],Its:[1,2,4,11],NO:[7,11],No:[6,9,23],Not:[0,1,5,6,23,24],OR:20,Of:20,On:[0,3,15,19,20,21,22,23],One:[0,1,3,4,5,6,7,8,11,12,13,20,24],Or:[0,1,6,23],Such:[0,6,12,16,20],That:[0,5,7,10,11,12,14,20,23],The:[4,10,13,14,15,16,18,19,20,21,22],Then:[0,1,6,8,9,10,11,12,13,14,18,23,24],There:[0,3,4,5,6,8,9,11,12,14,18,19,20,21,23,24],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,23,24],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20],With:[0,5,6,8,9,10,11,12,14,18,20,23,24],_0:[5,8,10,11,13,24],_1:[2,5,6,8,10,11,12,13,14,18,24],_2:[2,5,8,11,12,13,18,24],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,23,24],_________________________________________________________________:[],__call__:[],__class__:10,__doc__:6,__future__:[8,9],__getitem__:[],__init__:[1,2,3,4,14],__main__:2,__mosek:[],__mul__:2,__name__:[2,10],__traceback__:[],__version__:[3,4,14],_api:[3,4,14],_asarrai:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,20,24],_auto2:[2,3,4,5,6,12,13,18,20],_auto3:[3,4,5,6,12,13,18],_auto4:[4,6,12,13,18],_auto5:[4,6,12,13,18],_auto6:[4,6,12,18],_auto7:[4,6,12,18],_auto8:[6,12],_auto9:[6,12],_ax:[],_base:8,_broadcasting_shape_rul:[3,4,14],_build:[0,17,22,23],_build_call_output:[],_c:1,_call:[],_call_flat:[],_check_1d:[],_check_optimize_result:[7,11],_compon:11,_config_pb2:[],_coordinate_desc:6,_copy_docstring_and_deprec:[],_cpgg0jyh8m:[],_decor:[0,23],_delta:[3,4,14],_depth:9,_dilate_shap:[3,4,14],_ey:[3,4,14],_fraction:9,_get_lin:[],_getitem_multilevel:[],_handl:[],_i:[0,1,2,5,6,7,8,11,12,13,15,16,23,24],_inference_funct:[],_interpolatefunctionerror:[],_is_primit:[],_j:[0,1,2,3,5,6,8,13,24],_jit_compil:[],_k:13,_l:12,_lambda:[6,23],_leaf:9,_logist:[7,11],_m:10,_make_vjp:[2,13],_maybe_define_funct:[],_multilayer_perceptron:1,_n:[2,5,8,11,13,24],_node:[2,9,13],_not_impl:[3,4,14],_notokstatusexcept:[],_np:[],_num_output:[],_one:[3,4,14],_p:[5,8,24],_plot_arg:[],_process_traceback_fram:[],_r:[],_ratio:11,_reduce_and:[3,4,14],_reduce_max:[3,4,14],_reduce_min:[3,4,14],_reduce_or:[3,4,14],_reduce_sum:[3,4,14],_reduce_window_max:[3,4,14],_reduce_window_min:[3,4,14],_reduce_window_prod:[3,4,14],_reduce_window_sum:[3,4,14],_sampl:9,_select_forward_and_backward_funct:[],_split:[6,9],_src:[3,4,14],_stateful_fn:[],_stateless_fn:[],_sy:[3,4,14],_t:13,_test:6,_trace:[2,13],_tri:[3,4,14],_upcast_fp16_for_comput:[3,4,14],_valu:[2,13],_varianc:11,_weight:9,_xla_comput:[3,4,14],_zero:[3,4,14],a0:3,a0faa0:[9,10],a1:[0,23],a2:[0,23],a3:[0,23],a4:[0,23],a_0:[0,23],a_1a:[0,23],a_2a:[0,23],a_3:[0,23],a_3a:[0,23],a_4:[0,23],a_4a:[0,23],a_:[0,1,16,18,23,24],a_h:1,a_i:[0,1,2,12,23],a_j:[1,12],a_k:[0,1,12],a_ndim:[],aaron:22,ab:[0,2,5,13,14,23,24],ab_channel:17,abandon:1,abbrevi:19,abid:20,abil:[0,10,23],abl:[0,1,4,5,6,7,10,12,13,16,24],abort:[],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,21],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,23,24],abovement:6,abscissa:13,absolut:[0,2,5,6,13,23,24],absorb:24,acceler:13,accept:[0,3,6,9,23,24],access:[0,3,11,20,24],accid:[4,6],accident:[3,4,14],accmod:[],accompani:[0,23,24],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,20,23],accordingli:11,account:[0,3,5,13,15,20,23],accumul:[12,13,20],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,23,24],accuracy_scor:[0,1,10,23],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,23],aco:20,acquaint:[17,23],acquir:[1,17,23],acr:[0,24],across:[1,3,6,9,17,23],act:[1,3,18],action:20,activ:[0,2,3,4,9,19,21,23],actual:[0,1,4,5,6,8,11,16,18,20,23,24],ad:[1,3,4,5,8,13,14,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:[],adam:[1,3,4,21,23],adapt:[4,6,13,22,24],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,20,23,24],add_lin:[],add_outgrad:2,add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24],addition:[12,13],address:[1,9,11,13,23],adjac:[3,12],adjoint:[5,24],adjust:[0,5,12,13],admir:[0,23],advanc:[4,6,12,22,23],advantag:[1,3,5,6,10,13,18],adversari:23,afecionado:23,affect:3,affin:[0,3,8,11,24],afford:3,aficionado:23,aforement:14,african:[0,24],after:[0,1,2,4,5,6,9,11,12,13,15,17,18,20,23,24],afterward:[0,23],ag:[0,7,19,23,24],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,20,23,24],against:[1,4,7,10],agegroup:7,agegroupmean:7,aggreg:[9,10],agorithm:10,agre:[5,6,20],agreement:13,ahead:9,ai:[0,22],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,24],ainv:5,airplan:3,aka:5,al:[0,2,4,15,16,22,23,24],alarm:[5,7],algebra:[0,3,5,13,17,24],algo:[],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,20,22,23],align:[0,2,5,6,7,8,13,20,23,24],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24],all_gath:[3,4,14],all_to_al:[3,4,14],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,23,24],almost:[0,1,6,8,11,13,20,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,23,24],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,20,23,24],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13],alpha_k:13,alpha_m:10,alpha_n:3,alpha_opt:13,alreadi:[2,3,4,5,6,10,12,17,18,20,23,24],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,23,24],although:[0,1,5,6,8,10,13,16,23],alwai:[0,3,5,6,12,13,16,20,23,24],am:[4,24],ame2016:[0,23],american:[0,24],among:[0,3,5,9,10,12,18,23,24],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,24],an_:20,anaconda3:[],anaconda:[0,1,15,17,23],analog:13,analys:6,analysi:[1,3,4,7,14,15,16,18,22],analyt:[2,3,5,6,7,12,13,15,17,23,24],analyz:[0,1,3,4,5,6,14,16,20,23,24],andrew:1,angl:[0,3,9,24],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,20,23,24],anim:[4,12],ann:12,annot:[0,1,3,7,8,23,24],announc:23,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,20,23,24],anp:2,ans_vspac:2,ansatz:[0,23],answer:[0,1,3,5,6,18,21,23],antialias:[2,6],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,20],anytim:[21,23],apach:[1,3,4,14],apart:[11,13],api:[1,3,4,14,17,23],appar:2,appear:[0,1,3,13,16,18,20,23],append:[1,3,4,8,9,13,23],appendcon:[],appendvar:[],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,20,22,23,24],applic:[0,1,3,4,5,6,7,9,12,13,18,20,22,23,24],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,20,22,24],appropri:[2,6,9,12,13,17,20],approv:23,approx:[0,2,3,6,10,11,13,20,23],approxim:[0,1,2,3,4,5,6,7,10,11,13,20,23,24],apt:[0,15,17,23],aq:20,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],aragorn:23,arang:[1,3,4,6,7,9,10,12,13,23],arbitrari:[1,4,6,8,12,13,20],arbitrarili:[0,1,11,23],arc:6,architectur:[3,4,12],area:[0,3,6,9,22,23],arg:[0,2,13,23],argc:[],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:2,argnum_1:2,argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,23,24],argv:[],argval:2,aris:[0,6,12,13,20,23],arithmet:[0,13,18,23],arm:[3,4,6,14],arma:[],armadillo:18,around:[0,1,4,5,6,11,20,23],arr:2,arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,20,24],arrang:[3,23],arraybox:[2,13],arriv:[0,6,9,11,18,20,23],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,23],articl:[0,3,4,6,10,23,24],artifici:[0,2,7,12,22,23],artificialneuron:12,arug:13,arxiv:[3,4],as_fram:24,asap:23,asarrai:[0,2,6,9,24],asc:[],ascii:[],ashrafi:[],asid:24,ask:[5,6,11,12],aspect:[0,6,17,23,24],assembl:[0,3,23],assert:4,assess:[0,6,23,24],assici:4,assign:[0,7,8,9,12,13,14,19,21,22,23,24],associ:[0,6,9,12,14,20,23],associative_scan:[3,4,14],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],assumpt:[0,3,5,6,9,11,20,23,24],ast:[0,5,6,23],astronomi:[23,24],astyp:[4,9,10],asymmetri:[0,23],asymptot:[4,6],async_wait:[],atla:23,atoi:[],atom:[0,23],attempt:[0,4,6,7,8,10,23],attend:19,attent:[0,18,23],attr:[],attract:[0,10,23],attribut:[0,3,4,9,13,14,23],attributeerror:[3,4,13,14],audi:[0,23],audio:[3,4],august:[15,16,23],aurelien:[0,15,19,22,23],austfjel:6,author:[0,1,3,4,10,14,20,23],authour:23,auto:[6,9,10,20],autocor:20,autocorrelation_tim:20,autocorrelform:20,autocovari:20,autoencod:[4,17,23],autoencond:17,autograd:[17,23],autograph:[3,4,14],autom:[0,17,22,23],automac:18,automag:23,automat:[0,1,2,3,4,11,16,17,18,23],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,21,22,23],averag:[0,1,3,6,9,10,13,14,20,21,23,24],avg:[],avoid:[0,3,4,5,6,9,11,13,14,18,23,24],avx2:[],avx:[],awai:[2,3,6,24],awar:[2,10],award:[21,23],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,23,24],axes3d:[2,6,13],axes_grid1:6,axessubplot:24,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,20,23,24],axiom:5,axlabel:[0,23],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,20,21,23,24],b_0:0,b_1:[0,2,12,13],b_2:[0,13],b_5:13,b_:[0,1,18],b_group:9,b_i:[0,1,2,12,23],b_ia_:[0,23],b_ia_i:0,b_index:9,b_is_vec:[],b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_meta:[],b_score:9,b_valu:9,bachelor:[19,21],back:[0,3,4,5,6,8,9,10,15,18,20,23,24],backbon:18,backend:[1,4],backend_specific_transl:[3,4,14],background:[22,23,24],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,bad:[6,24],badli:20,bag:[9,17,23],bag_clf:10,baggin:23,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,band:18,bandwidth:18,bar:[0,6,11,15,16,23],barber:22,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,20,21,22,23,24],basi:[5,7,8,10,11,12,13,18,24],basic:[2,6,8,12,13,14,17,20,23],batch:[3,4,11,12,13,14],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:7,bayesian:[5,17,22,23],bbupeevmxtg:[],bc298b802fe2:[],beam:23,becattini:21,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,23],beccatini:23,becom:[0,1,2,5,6,7,9,12,13,20,23,24],been:[0,1,2,3,4,5,6,11,12,13,17,18,23,24],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,20,23,24],beforehand:[0,20,23],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,21,23,24],behav:[1,6,13],behavior:[0,1,13,23],behaviour:12,behind:[0,1,6,8,13,23],behnoosh:[],being:[0,1,2,3,4,5,7,8,10,11,12,13,20,23,24],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],benchmark:10,bendik:[],benefici:[1,13],benefit:[0,1,4,11,13,15,17,23],bengio:[1,19,22,23,24],benign:[1,7,9],bennosh:[],besid:[4,5],bessel:[5,24],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,21,23,24],beta:[0,1,3,5,6,7,10,11,13,16,23,24],beta_0:[0,1,3,5,6,7,13,23,24],beta_0x_:[0,23,24],beta_1:[0,1,3,5,6,7,10,13,23,24],beta_1x_0:[0,23],beta_1x_1:[0,7,23],beta_1x_2:[0,23],beta_1x_:[0,23,24],beta_1x_i:[7,13,24],beta_2:[0,3,13,23,24],beta_2x_0:[0,23],beta_2x_1:[0,23],beta_2x_2:[0,7,23],beta_2x_:[0,23,24],beta_2x_i:24,beta_3:3,beta_3x_i:24,beta_4x_i:24,beta_:[0,3,6,7,13,23,24],beta_i:[0,3,5,23,24],beta_j:[0,5,6,13,23,24],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_p:7,beta_px_p:7,betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,23,24],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,20,23,24],beyond:[0,1,5,6,8,13,23,24],bf:[13,14,18,20],bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,23,24],bias:[1,2,3,5,6,9,12],big:[0,1,2,5,6,14,23],bigger:[1,6,24],bigr:12,bike:9,bilbo:23,bilek:[],billion:[3,12,17],bin:[0,7,20,24],binari:[0,2,3,5,7,9,10,12,23],binarycrossentropi:4,bind:[0,24],binomi:[17,20,23],binsboot:6,bioinformat:[0,23],biolog:[1,12],bios1100:[17,23],bird:[0,3,23],birth:23,bishop:[19,22,23],bit:[1,4,18,20,23],bitwis:[3,4,14,20],bivari:2,bk:[0,13,24],bla:[18,23],black:[8,9,14],bledso:23,blob:23,block:[6,10,17,18,20,23],blockingavg:[],blockingstd:[],blockingvar:[],blocksiz:[],blocksizemax:[],blocksizemin:[],blogpost:4,blue:[0,3],bluntli:23,bm:24,bmatrix:[0,1,3,5,7,8,11,13,18,23,24],bmi:1,bodi:[0,1,4,12,23],bold:1,boldfac:[0,5,16,24],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,23],boltzmann:[12,17,23],book1:22,book:[22,23],boost:[1,9,17,23],boostrap:10,bootavg:[],bootstd:[],bootstrap:[1,13,17,23],bootvar:[],bootvec:[],borrow:23,boston_dataset:[0,24],bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,20,21,23,24],bottl:7,bound:[0,8,12,24],boundari:[2,4,8,11,12],boundkei:[],box:[4,9],boxed_arg:2,boyd:[8,13],bracket:[4,20],brain:[1,7,12],branch:9,breast:[5,7,11],breviti:13,brew:[0,15,17,23],brg:8,brief:24,briefli:[0,23],bring:[0,5,6,10,23,24],broad:[0,23],brought:[13,17,23],brownle:4,browser:23,brunton:[],brute:[3,5,11,24],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,20,23],built:[0,1,3,4,6,24],bunch:11,busi:[0,24],bx:[],bzl:[],c1:[8,11],c2:[8,11],c95af3df0cdd:[],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],c_0:20,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,20,24],c_i:[12,13],c_k:20,ca:[1,23],cabc613b8702:[],cach:10,cal:[0,8,10,12,13,15,16,23],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23],california:24,call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],callabl:[],callback:[],calor:[0,24],cambridg:[13,22],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],cancel:[0,13,23,24],cancellation_manag:[],cancer:[5,10],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,19,20,23,24],canopi:[0,15,17,23],canva:23,cap:5,capabl:[0,1,8,13,17,23],capac:[2,21],capita:[0,24],captur:[4,11,12],captured_input:[],car:[3,4],card:[0,7,23],cardin:1,care:11,carefulli:13,carlo:[0,6,17,20,22,23],carri:[2,6,7],cart:10,carvalho:[],casella:22,cast:1,cat:[3,4],categor:[0,1,3,9,11,23],categori:[0,1,3,7,10,12,14,23,24],categorical_crossentropi:[1,3],caus:[0,5,6,20,23,24],causal:0,causat:[0,23],cax:1,cb:[6,23],cbar:1,cbook:[],cc:[0,1,5,13,23,24],ccc:[5,12],cd_fast:6,cdf:20,cdot:[0,2,6,12,13,14,18,20,23],celebr:13,cell:[0,2,3,4,6,9,10,13,14,15,23],center:[0,1,6,7,8,9,11,14,20,23],centr:[],central:[0,3,5,6,8,16,18,23,24],centroid:[14,20],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,20,23,24],cg:13,cha:[0,24],chain:[0,1,13,17,20,23],chanc:[1,5,13,20],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,20,23,24],channel:3,chapter3:0,chapter:[0,6,10,11,18,22,23,24],charact:[0,3,5,8,23,24],character:[8,9,10,12,20],characterist:[0,1,3,10,13,23],charg:[0,23],charl:[0,24],chase:4,chat:23,chd:7,chddata:7,cheap:[5,24],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,23,24],checkmark:3,checkpoint:[3,4,14],checkpoint_dir:4,checkpoint_prefix:4,chemic:[],chen:10,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,18,23,24],choleski:[5,18,24],choos:[2,3,6,9,10,11,13,14],chosen:[0,1,2,6,8,9,10,13,16,20,23],chosen_datapoint:1,christian:22,christoph:[19,22,23],cifar10:3,cifar:3,cin:[],circ:[1,12],circl:[0,8,12,24],circuit:3,circumfer:9,circumv:[1,5,13,24],ckpt:4,clariti:20,class_nam:[3,9],class_val:9,class_valu:9,class_weight:[],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,22,23,24],classifi:[0,1,4,7,9,10,11,23],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,20,24],clever:[1,10],clf3:0,clf:[0,6,8,9,10,23,24],clf_lasso:6,clf_ridg:[6,23],clip:[3,20],clone:21,close:[0,1,2,4,6,8,9,11,12,13,14,20,22,23],closer:[3,5,13,24],closest:[8,11,13,14],closur:[17,23],cloud:[17,23],cluster:[0,1,4,6,11,17,23],cluster_label:14,cm:[1,2,3,6,8,9,13],cmap:[0,1,2,3,4,6,8,9,10,23],cmap_arg:6,cmath:[],cmb:19,cmd:9,cmu:24,cn_:20,cnn:12,cnn_kera:3,cntk:[17,23],co:[0,2,3,6,9,13,23],code:[3,4,6,7,8,15,16,17,18,20,22],coef0:8,coef:[0,23],coef_:[0,5,6,8,9,13,23,24],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,23,24],coerc:[0,6,23],coin:[10,20],coin_toss:10,col:[0,11,23,24],colab:[17,23],cold:9,colinear:[0,24],collaps:8,collect:[0,2,6,10,11,17,20,22,23],collinear:[5,24],color:[0,3,4,6,8,9,10,20],color_channel:3,color_cod:6,colorbar:[1,6],colsample_bytre:10,colsaobject:10,colspec:[0,23],column:[0,1,2,5,6,7,8,9,11,12,18,23,24],columntransform:9,com:[3,4,6,14,17,22,23],combin:[1,2,5,6,7,10,20],come:[0,1,3,4,5,12,13,14,15,23,24],command:[0,1,23],comment:[0,4,5,6,15,16,23,24],commerci:[0,15,17,23],commod:[0,23],common:[0,1,3,5,6,7,9,11,13,14,20,23,24],commonli:[0,1,4,6,7,9,13,14,24],commun:[0,12],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,23,24],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,23,24],comparison:[2,4,13],compat:[3,4,7,14],compet:[0,23],competit:10,compil:[0,1,3,4,13,15,17,18,23],complet:[0,2,3,4,9,12,23],completenn:12,complex:[1,5,8,9,11,12,13,15,16,23],complic:[0,1,9,13,23],compoment:24,compon:[0,1,3,4,5,6,7,9,14,16,17,23,24],components_:11,compos:[9,12,13,14,17,23],compphys:[0,6,17,19,21,22,23,24],compress:[0,23,24],compris:6,compromis:[5,24],compulsori:[17,23],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24],computation:[0,3,6,9,13,20,23],computationalscienceuio:23,con:[],concat:23,concaten:[2,4,6,14],concav:[1,9,13,24],concentr:[0,10,24],concept:[0,2,17,23,24],conceptu:[12,13],concern:[0,1,4,7,23],concic:23,conclud:[0,5,13],conclus:1,cond:[2,3,4,14],conda:[0,1,15,17,23],condis:24,condit:[0,2,4,5,6,8,9,11,13,20,23,24],conduct:[17,23],condwav:2,coneqp:[],confid:[0,5,6,7,8,23,24],config:[3,4,14],config_pb2:[],configur:3,confirm:[5,12],confus:[5,6,7,10,18,24],confusion_matrix:9,congruenti:20,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,23,24],consequ:[5,6,8,10,12,13,24],conserv:[5,14,24],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,20,23,24],consider:[0,1,5,13,23,24],consist:[0,1,2,3,4,6,12,13,20,24],constant:[0,2,3,4,5,6,8,12,13,14,20,23,24],constitu:[0,23],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,24],construct:[0,1,2,3,5,6,7,8,9,10,11,18,20,23,24],contact:[0,23],contain:[0,2,3,4,5,6,7,8,9,11,12,13,14,18,20,22,23,24],contemporari:23,content:[1,17,18,23],context:[6,10,13],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,20,23,24],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,20,23,24],contributor:[0,23],control:[0,1,3,9,13,15,17,23],control_flow:[3,4,14],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],conv_general_dilated_patch:[3,4,14],convei:23,conveni:[0,5,6,12,13,18,23],convent:[12,24],converg:[1,2,4,5,6,7,8,11,13,14,24],convergencewarn:[1,6,7,8,11],convert:[0,1,3,4,5,9,11,13,14,18,23,24],convert_phas:[3,4,14],converter_error_data_pb2:[3,4,14],converttomatrix:4,convex:[4,5,7,24],convinc:13,convolut:[1,4,17,23],cool:[4,9],coolwarm:6,coordin:[5,12,14,24],coorel:[0,24],copi:[0,1,2,14,24],copyright:[3,4,14],core:[2,3,4,10,13,14,23],corel:23,coronari:7,corr:[0,5,7,11,24],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,20,23,24],correctli:[1,2,6,7,10],correl:[0,1,3,5,6,7,10,12,13,17,20,23],correlation_matrix:[0,5,7,11,24],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,20,23,24],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,23],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],coulomb:[0,23],count:[0,9,19,20,21,23],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,21,24],courvil:[19,22,23,24],cout:[],cov:[5,6,11,18,20,23,24],cov_xi:[5,11,24],cov_xx:[5,11,24],cov_yi:[5,11,24],covari:[0,7,17,18,23],covariance_matrix:[5,11,14,24],cover:[0,5,17,21,22,24],covert:[0,23],covxi:20,covxx:20,covxz:20,covyi:20,covyz:20,covzz:20,cpj4mh7m9no:[],cpu:[1,3,4,14],cpu_feature_guard:[],craft:3,crawford:23,creat:[1,2,3,4,5,6,9,10,11,12,13,17,23],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,24],credit:[0,7,21,23],crim:[0,24],crime:[0,24],criteria:[0,4,9,10,14,20,23],criterion:[9,10,13],critic:[6,23,24],cross:[0,1,3,7,9,10,13,17,20,23,24],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,20],cs231:3,cs:[19,21],csr_matrix:[18,23],cstdlib:[],csv:[0,4,6,7,9,23],ctnk:1,ctx:[],cubic:0,cumbersom:5,cumsum:[10,11,23],cumul:[7,10,20],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,22],curs:[0,24],curv:[6,7,10,12],curvatur:13,custom:[6,14],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,24],cyber:[],cycl:[1,3,4,12,14],cyclotron:24,d1:[],d2:[],d2_g_t:2,d3:[],d670a873ab0c:[],d985fb40c43d:[],d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,21,23,24],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,24],dai:[1,9,17],dalen:[],damp:3,daniel:[21,23],darget:9,darkr:20,dat:[0,23],dat_id:[0,6,7,9,23,24],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,22],data_handl:[],data_id:[0,6,7,9,23,24],data_indic:1,data_modul:24,data_panda:23,data_path:[0,6,7,9,23,24],data_url:24,databas:1,databookuw:[],datafil:[0,6,7,9,23,24],datafram:[0,4,5,7,9,11,23,24],datapoint:[1,5,6,7,11,13,24],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,23,24],datatyp:4,date:[15,16,23,24],daughter:10,david:22,dbh:1,dbo:1,dcomposit:18,ddot:2,dead:1,deadlin:[16,19],deal:[0,1,3,5,6,8,11,13,14,18,20,23,24],dealt:0,debt:7,debug:[0,5,6],decad:[0,3,23],decai:[0,13,20,23],decemb:[19,21,23],decent:10,decid:[0,2,3,5,6,9],decim:[0,23],decis:[0,1,8,11,17,22,23],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,23],decompos:[5,6,18,24],decomposit:[0,6,12,23],decompost:[5,24],deconvolut:3,decor:[0,23],decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],deduc:[0,23],deep:[3,7,12,13,17,19,22,23,24],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,17,23],deeper:[0,3,4,23],deeplearningbook:22,deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,20,23,24],def_covari:20,def_funct:[],default_tim:4,defect:[5,24],defici:[5,24],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,24],definit:[1,2,5,6,7,8,10,11,12,13,18,20,24],defint:20,defun:[],defvjp:2,degre:[3,5,6,8,9,10,11,15,16,20,23],del:1,delet:6,delimit:4,deliv:[19,23],delta:[0,2,3,6,8,12,13,14,23],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,23],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:13,delta_n:[0,3,23],delug:17,delv:[0,23],demand:13,demonstr:[0,3,5,6,7,11,12,17,23,24],den:4,denomin:[1,5],denot:[1,2,6,7,13,20],dens:[1,3,4],dense_1:[],densiti:[0,2,6,20,23],depart:[21,23,24],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,20,23,24],depict:20,deploy:[0,15,17,23],deprec:[2,6,13,23,24],deprecate_nonkeyword_argu:[0,23],depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,23],derivati:13,derivative_fn:13,descend:[5,9,11,24],descent:[0,1,3,7,8,12,23,24],descr:24,describ:[0,2,4,5,6,8,10,11,12,13,18,23],descript:[0,8,9,23],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,23],designmatrix:[0,23],desir:[0,2,4,5,13,14,23,24],despit:[1,12],destroi:18,det:[5,18,24],detail:[0,6,11,13,14,18,24],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,20,23,24],determinist:[7,13,20],dev:1,develop:[0,3,5,8,10,11,12,17,18,23,24],deviat:[0,1,2,4,5,6,20,23,24],device_nam:[],devicearrai:[3,4,14],devis:12,df1:23,df:[4,8,11,13,23],di:[0,24],diag:[5,8,24],diagnost:[1,10],diagon:[0,5,7,13,18,20,23,24],diagonaliz:[5,24],diagram:10,diagsvd:6,dice:[6,20],dict:[6,8],dict_kei:24,dictionari:[0,24],did:[0,1,5,6,7,10,11,14,23],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,20,22,23,24],differenti:[0,3,16,17,18,23,24],differential_oper:[2,13],difficult:[0,1,6,10,13,20,23],difficulti:[0,1,13,23],diffonedim:2,digit:[0,1,3,4,6,19,21,23],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,9,11,14,16,18,23,24],dimension:[0,4,5,6,9,11,13,14,17,18,23],dimensionless:[0,3,23],diment:18,dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,23,24],directli:[1,4,5,6,20,24],directori:9,disabl:[3,4,14],disadvantag:[0,23],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12,23],disclaim:20,discord:23,discourag:[13,24],discov:[0,23],discover:5,discret:[1,3,5,7,13],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],diseas:7,disguis:[6,24],disord:[1,7],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,20,23,24],displaystyl:[0,5,23,24],displot:24,disregard:[0,23],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,20,24],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,20,23],distplot:[0,24],distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,23,24],distrubut:[0,15,17,23],div:[],dive:[0,8,18,23],diverg:[1,13],divid:[0,1,2,3,5,6,7,8,9,11,12,20,23,24],divis:[6,8,9,13,18,20],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,23],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,23],doc:[0,6,17,19,21,22,23,24],document:[4,7,11,13,24],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,20,23],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13],domin:[0,23],don:[0,1,3,5,6,8,11,13,15,17,23,24],done:[0,2,3,4,5,6,9,10,11,13,18,23,24],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,20,23,24],doubl:[3,4,18,23],doubli:1,down:[0,3,6,9,11,12,13,23],download:[0,1,3,5,6,18,22,23],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,24],drawn:[1,4,6,7,11,20,23],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,20,23,24],dropna:[0,6,23],dropout:4,ds:[],dt:[2,3,13,20],dtype:[0,1,2,3,4,14,18,23,24],dualiti:6,dub:[0,23],due:[1,2,5,6,8,10,12,13,21,23,24],dummi:[0,24],dure:[0,1,3,4,8,9,11,17,23],dwell:[0,24],dwh:1,dwo:1,dx:[2,3,8,20],dx_1:20,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:20,dxp:6,dy:[1,8,20],dynam:4,dysth:[],dz:8,e7cu:[],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,21,23,24],e_:[0,2,23],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24],eager:[],eapprox:[0,23],earli:[1,13],earlier:[0,5,7,8,9,11,12,13,23,24],earthexplor:6,eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],easier:[5,6,8,9,13,20,23,24],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24],eastern:[21,23],ebind:[0,23],eblock:9,econometr:23,economi:5,ecosystem:[17,23],ect:19,edg:3,edgecolor:6,edu:[13,24],educ:[0,23,24],eface79dac2c:[],eff:20,effect:[1,4,10,13,20],effic:1,effici:[0,3,10,13,17,18,20,23],efron:6,egrad:13,eig:[5,11,13,18,20,23,24],eigen:20,eigenpair:[5,11,24],eigenvalu:[0,5,8,11,13,18,23,24],eigenvector:[5,11,13,24],eight:[18,23],eigval:[18,20,23],eigvalu:[11,13],eigvec:[18,20,23],eigvector:[11,13],eispack:[18,23],either:[1,5,6,7,8,9,10,11,13,15,16,20,23,24],ekstrom:[],elabor:20,elarn:3,electr:[0,3,12,23],electron:23,electur:[],eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,22,24],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:23,elif:[2,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,23],email:[19,21,23],embed:[0,11,24],embodi:6,emit:20,emner:22,emphas:[0,10,17,23],emphasi:[0,17,22,23],empir:[1,11,20],emploi:[0,1,5,6,11,13,20,23,24],employ:[0,23,24],empti:[6,10],emul:12,en:[17,22],enabl:11,enable_check:[3,4,14],enbodi:6,encapsul:[3,4,14],encod:[0,3,5,9,11,14,23,24],encompass:[0,20,23],encount:[0,1,5,6,7,13,20,23,24],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,23,24],end_box:[2,13],end_nod:[2,13],end_valu:[2,13],endl:[],endpoint:[3,6],energi:[0,4,6,24],enet_coordinate_desc:6,enforc:12,eng:22,engin:[0,1,3,4,17,23],english:[],enorm:3,enough:[0,6,13,23],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,20,24],ensure_initi:[],entail:23,enter:[5,6,24],enthought:[0,15,17,23],entir:[1,3,7,9,17,20,23],entiti:[9,12,18,23],entri:[0,5,8,11,12,18,23,24],entropi:[1,3,7,10,13,23],enumer:[0,1,2,3,4,6,8,23,24],env:[0,1,2,3,4,6,7,8,11,13,14,20,23,24],environ:[2,17],eo:[0,6,23],eol:[0,23],eosfit:[0,23],epoch:[0,1,3,4,12,13,23],epsilon:[0,5,6,7,13,23,24],epsilon_0:[0,23],epsilon_1:[0,23],epsilon_2:[0,23],epsilon_:[0,23],epsilon_i:[0,23,24],eq:[3,13,14,18,20],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,20,23,24],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,20],equilibrium:[2,12],equiv:[3,13,18,20],equival:[0,1,5,7,8,11,13,17,18,23,24],erf:20,eriador:23,eridg:23,err:[0,10],err_:6,err_sqr:2,errat:13,errno:9,erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,20],error_estimate_corr_tim:20,error_handl:[],error_hidden:1,error_output:1,escap:13,especi:[1,3,9,12,13],essenti:[0,5,6,9,10,12,14,20,24],establish:[0,6,10,11,15,23],estim:[0,1,5,6,7,10,11,13,17,20,23,24],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,22,23,24],eta0:[8,13],eta:[0,1,3,8,12,13,23],eta_:13,eta_t:13,eta_v:[0,1,3,23],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,20,24],ethic:[17,23,24],etsim:[],euclidean:[0,14,24],evalu:[0,2,3,4,5,6,9,13,20,23,24],evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,20,23,24],evenli:4,event:[3,4,5,7,10,14,20],eventu:[0,5,6,11,12,13,21,24],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,20,21,23,24],everyth:[4,12],everywher:[4,13],evolv:[0,23],exact:[0,2,5,11,12,13,18,20,23,24],exactli:[0,3,4,6,12,17,24],exam:23,examin:6,exampl:[5,11,12,13,15,16,17,18,20,22],exce:[1,12,13],excel:[0,1,4,5,10,23,24],except:[2,3,4,6,8,9,14,18],excess:[0,23],excit:[0,23],exclud:[1,6,12,24],exclus:[0,1,3,6,20,23],execut:[2,5,13,24],executing_eagerli:[],exemplifi:13,exercic:[21,23],exercis:[5,17,19,21],exhaust:6,exhibit:[0,5,6,8,23,24],exist:[0,1,2,3,5,6,7,8,9,13,18,23,24],exit:[5,18,24],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,20,23,24],exp_term:1,expand:[5,7,11,13,24],expans:[0,3,5,8,10,12,13,23,24],expect:[0,1,5,6,7,11,12,13,15,16,17,23,24],expectation_value_of_h_wrt_p:20,expens:[6,10,13],experi:[0,1,6,8,13,17,23,24],experiment:[0,3,4,6,9,14,20,23],experimental_get_tracing_count:[],expert:[1,9],explain:[0,6,9,10,11,13,23],explained_variance_ratio_:11,explanatori:[0,23],explicit:[0,3,6,13,18,23,24],explicitli:[0,4,23],explod:1,exploit:[0,3,12,13,23],explor:[1,4,6,8,13,17],expon:1,exponenti:[0,1,5,6,10,13,20,23],export_graphviz:9,export_text:9,exporttext:9,expos:[17,23],express:[0,2,3,5,6,7,10,12,13,16,18,20],exptmean:20,exptvari:20,extend:[0,2,7,11,13,17,23],extens:[0,12,15,17,23],extent:[0,1,6,22,23],extern:[3,6,9],extra:[1,3,5,21,23,24],extract:[0,3,5,6,7,8,11,13,18,23,24],extrapol:[0,23],extrem:[0,1,4,5,6,7,8,9,13,16,18,24],extremum:13,extrins:11,ey:[0,5,6,13,14,18,23],f11:[0,23],f12:[0,23],f13:[0,23],f1:13,f1_grad:13,f1d:13,f2:13,f2_grad_x1:13,f2_grad_x1_analyt:13,f2_grad_x2:13,f2_grad_x2_analyt:13,f3:13,f3_grad:13,f3_grad_analyt:13,f3ckh:[],f401:[3,4,14],f4:13,f4_grad:13,f4_grad_analyt:13,f5:13,f5_grad:13,f6:13,f6_for:13,f6_for_grad:13,f6_grad_analyt:13,f6_while:13,f6_while_grad:13,f6d7a289d493:[],f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,23],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,20,21,23,24],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:20,f_grad:13,f_grad_analyt:13,f_i:[0,6,12,16],f_m:[3,10],f_n:3,f_raw:[],f_vec:2,f_wrap:2,face:13,facecolor:[6,8,20],facil:[0,15,17,23],facilit:12,fact:[0,1,3,5,9,11,12,13,23,24],factor:[0,1,3,5,6,9,10,11,13,18,20,23,24],factori:13,fade:6,fafab0:[9,10],fahimeh:[21,23],fail:[0,6,7,8,11,13,21,23],failur:7,fairli:[1,2,20],fake:4,fake_loss:4,fake_output:4,fall:[8,9,19],fals:[0,1,2,3,4,5,6,7,9,10,14,18,23,24],famili:[0,7,8,20],familiar:[0,3,5,6,8,15,17,18,20,23],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,23,24],fashion:[0,9,10,23],fast:[1,3,6,10,12,13,17,20,23],faster:[1,11,13],fastest:[13,18],favor:7,favorit:20,fc:3,fdf8a5d7c717:[],fdfcc778e1f8:[],fe5b9d300cc0:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,20,23],feature_nam:[0,1,7,9,24],feautur:9,fed:1,feed:[0,2,3,11,17,23],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,23],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,21,23],feet:[0,24],fei:23,fetch:[6,24],fetch_california_h:24,fetch_openml:24,few:[1,3,4,5,9,20,23],fewer:[0,9,11,23],ffnn:[1,12],fft2:[3,4,14],fft:[3,4,14],fft_batching_rul:[3,4,14],fft_p:[3,4,14],fftfreq:[3,4,14],fftn:[3,4,14],fftshift:[3,4,14],fgakzw6k1qq:[],field:[0,3,6,12,17,23],fifth:[0,6,15,16,23],fig:[0,1,2,3,4,6,7,12,13,14,23],fig_id:[0,6,7,9,23,24],figaxi:20,figsiz:[0,1,2,3,4,6,7,8,9,10,23,24],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,23,24],figure_id:[0,6,7,9,23,24],figurefil:[0,6,7,9,23,24],file:[0,2,3,4,5,6,7,9,13,14,23,24],file_prefix:4,filenam:[23,24],filenotfounderror:9,fileout:[],filepath_or_buff:[0,23],fill:[5,9,24],filter:[3,4],filtered_flat_arg:[],filtered_tb:[],financ:[0,23],find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,23,24],find_top_boxed_arg:[],fine:[0,14,15,23],finish:2,finit:[3,5,6,12,13,20,24],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,22],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,20,24],fit_beta:[6,24],fit_intercept:[0,5,6,24],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,23],five:[0,9,23,24],fix:[0,3,4,6,10,11,12,13,23],fixedformatt:6,fixedloc:6,fkkt:[],flag:4,flake8:[3,4,14],flat:[12,13],flatbuff:[],flatten:[1,3,4,5,18],flexibl:[1,6,8,10,12,23,24],flip:[21,23],float32:[4,9],float64:[4,18,23,24],flop:[5,18,24],flow:[1,4,12],fluctuat:5,fly:11,flyvbjerg:[],fm:[0,23],fma:[],fmax:3,fmesh:13,fn:7,focu:[0,3,4,5,6,15,17,22,23,24],focus:[1,6,7,18,24],fold:[6,9],folder:[0,1,4,6,13,23],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],font:[0,7,20,23],fontdict:20,fontsiz:[1,6,8,9,10,20],fontweight:1,footprint:3,foral:[8,24],forc:[0,5,6,10,11,23,24],forcast:4,forecast:[4,12],forelesningsvideo:[],forest:[0,1,9,17,23],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,20,23,24],formal:[3,4,14,20],format:[0,1,2,3,4,6,7,8,9,10,11,17,20,22,24],format_data:4,formatstrformatt:[6,13],formul:[4,6,11,14],formula:[3,13,20],forth:[4,12],fortran2003:[17,23],fortran90:20,fortran:[0,15,17,18,23],fortun:[0,11,24],forward:[0,3,6,17,18,23],forward_backward:[],forward_compatibility_horizon:[3,4,14],found:[1,2,4,5,6,12,13,23,24],foundat:[17,23],four:[4,5,6,8,12,18,19,21,23],fourier:[0,23],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,23,24],fp:7,fr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],fractal:9,fraction:9,frame:[7,23],framework:[1,8,10,20],frank:[5,11],frankefunct:[5,6,11,24],fredli:[21,23],free:[0,6,11,13,15,16,17,18,20,21,22,23],freecodecamp:17,freedom:5,freeli:[0,23],frequenc:[3,6,7,20],frequent:[0,8,9,13,23],frequentist:17,fresh:10,frida:[],fridai:[16,21,23],friedman:[6,19,22,23,24],friendli:4,frodo:23,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,20,21,22,23],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,23,24],fstream:[],fulfil:[2,5,12,24],full:[0,1,3,5,7,9,10,13,20,23,24],full_matric:[5,24],fulli:[3,6,12,19,20],fun:[2,13,17,23],fun_nam:2,func:[0,2,23,24],functionali:11,functool:[3,4,14],fundament:[0,6,17,23],funtion:2,further:[2,7,9,23],furthermor:[0,3,5,6,7,11,12,13,17,23,24],futur:[0,4,8,9,23,24],futurewarn:[0,23,24],fx:[],fy:[15,19,21,22,23],fys5419:[22,23],fys5429:[22,23],g0:2,g42mrgv128v34gnnhxwk9nrc0000gp:[],g:[0,1,2,3,4,6,8,9,10,11,13,14,20,23],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,24],galleri:[0,23],game:4,gamge:23,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,23],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,23],gamma_i:[0,8,20,23],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,23],gap:[6,8],gate:[4,12],gather:[0,1,12,24],gaug:12,gaussbacksub:18,gaussian:[4,5,6,8,14,20],gaussian_point:14,gaussian_rbf:8,gave:13,gbc:[19,23],gca:[2,6,8,13],gd:1,gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,20,24],gemv:[],gen:[],gen_loss:4,gen_tap:4,gender:[0,23],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,20,22,24],generallay:12,generate_and_save_imag:4,generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genexpr:[],genom:17,geodes:11,geometr:[0,13,23],geometri:5,georg:22,geotif:6,geq:[2,5,8,9,13,24],geron:[0,15,19,22,23],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,20,21,23,24],get_dummi:9,get_loc:[],get_next_color:[],get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getattr:2,getsolutionslic:[],getval:[],gg:[],gibb:[17,23],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,23],giter:13,github:[0,3,4,6,14,15,17,19,21,22,23,24],gitlab:[0,15,17,23],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,20,23,24],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],global:[6,7,13],glorot:1,gmail:[],gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,24],goal:[0,7,9,23],goe:[0,1,2,5,6,13,14,18,23,24],golden:13,gone:[5,24],gong:1,good:[1,3,4,5,6,9,10,11,13,17,20,22,24],goodfellow:[4,19,22,23,24],googl:[1,3,4,14,17,23],got:[1,6],gov:6,gp:22,gpu:[1,13,17,23],grad:[2,13],grad_analyt:13,grade:19,gradient:[0,3,4,7,8,9,12,17,23,24],gradient_desc:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6],graph:[1,9,11,12,13],graph_debug_info_pb2:[],graph_from_dot_data:9,graph_funct:[],graphic:[0,1,9,23],grasp:[0,23],gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,20],greatli:13,greedi:9,green:[0,3,9,20],grei:4,grid:[1,3,6,7,8,12,20,24],grossli:13,ground:[0,23],group:[0,6,7,9,14,17,19,21,23],groupbi:[0,23],grow:[1,3,9,10],growth:[0,23],gru:4,guarante:[0,4,13,20,23,24],guess:[1,4,10,13,14],guestrin:10,guid:1,guilherm:[],h1:2,h21:[],h:[0,1,5,6,8,13,16,20,21,22,23,24],h_1:[2,13],h_2:[2,13],h_:[0,13,23],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],haa:[21,23],habit:[0,24],had:[0,1,6,7,13,23],hadamard:[1,12,13],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24],handi:3,handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5,23],handwrittennot:23,happen:[1,2,3,4,5,6,10,13,20,24],hard:[1,7,8,10,13],hardcopi:[17,23],harder:[0,1,24],harmon:3,hasn:1,hassl:[0,15,17,23],hast:[17,23],hasti:[0,6,15,16,19,22,23,24],hat:[0,1,5,6,7,9,10,11,12,13,18,24],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,24],haven:1,hdtta7prrfi:[],he:7,head:[0,4,10,20,24],header:[0,23,24],heads_proba:10,health:[0,24],hear:[0,13,23],heart:[0,7,23],heatmap:[0,1,3,7,23,24],heavili:[0,23],heavisid:1,height:[1,3,6,24],held:13,help:[0,1,4,12,13,16,23],helper:[4,14],henc:[0,5,6,8,9,10,12,13,23,24],henrik:[21,23],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],hereaft:[0,8,12,23],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hfft:[3,4,14],hi:7,hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,23],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,24],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,23,24],higher:[0,1,3,5,6,8,13,23,24],highest:[1,2],highli:[0,3,4,10,17,18,22,23,24],highwai:[0,24],hing:8,hint:[13,16,24],hip:17,hire:[0,23],hist:[4,6,7,20],histogram:[0,6,7,20,24],histor:[7,11],histori:[3,4,12],histplot:24,hit:[],hitherto:5,hjorth:[21,23,24],hm6ay5ds6o0:[],hobbi:20,hoc:[5,24],hoff:22,hold:[1,3,6,13,14],holder:[0,23],holomorphic_grad:[2,13],home:[0,24],homepag:23,homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hopefulli:[0,11,20,23],horizont:11,hors:[3,7],hot:[1,9],hour:[1,17,19,20,21,23],house_pric:24,how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],hs:[],hspace:[0,4,8,10,20,23],hstack:[1,24],htf:[19,23],html:[0,7,11,17,19,21,22,23,24],http:[0,3,4,6,7,11,13,14,17,18,19,21,22,23,24],huang:[0,23],huber:[0,23],huge:[1,3,4,17],human:[0,1,3,6,9,12,23,24],humid:9,hundr:1,hungri:1,hybrid:19,hydrogen:[0,23],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,23,24],hyperplan:11,i0:[0,23],i1:[0,6,8,12,23,24],i2:[0,8,12,23],i3:[0,12,23],i5:[0,23],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],i_1:[5,6],i_2:[5,6],i_:13,ian:22,ic:1,id:[7,13],ida:[21,23],idea:[0,1,2,3,4,6,9,10,12,13,18,23,24],ideal:[0,2,6,8,13,20,23,24],idem:6,ident:[5,6,12,13,18,24],identical:[],identifi:[0,1,7,9,11,12,13,14,23,24],idum:[],ieor:20,ifft2:[3,4,14],ifft:[3,4,14],ifftn:[3,4,14],ifftshift:[3,4,14],ifi:22,ifs:[17,23],ignor:[0,1,3,9,24],ihfft:[3,4,14],ii:[18,20],iii:[18,23],ij:[0,1,3,6,8,12,14,16,18,20,23,24],ik:[0,18,23,24],illustr:[5,7,10,12,13,14,17,23],im:6,imag:[1,3,4,6,9,11,12,14,22,23],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,23,24],image_width:3,imageio:6,imagenet:23,images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,17,23],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,20,23,24],impli:[3,5,6,7,13,18,24],implicit:3,implicitli:[11,20],importantli:3,importerror:[3,4,14],impos:[0,6,11,12,23],imposs:[0,5,23,24],impress:[0,12,23],improv:[0,4,5,9,10,11,13,24],impur:9,imread:6,imshow:[1,3,4,6],in1:2,in2:2,in3050:[22,23],in3310:23,in4080:[22,23],in4300:[22,23],in4310:22,in5400:3,in5550:22,in_out_neuron:4,inaccur:13,inacio:[],inact:12,inadequ:[0,23],inch:[6,24],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,22,23,24],include_bia:[6,9],incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],increasingli:20,ind:6,inde:[0,2,4,5,6,13,23,24],indefinit:4,indent:[],indentationerror:[],independ:[0,5,6,7,8,12,13,20,23,24],index:[0,1,3,4,10,14,17,18,20,22,23,24],index_col:[0,23],index_of:[],indic:[0,1,3,4,5,6,9,10,11,13,16,23,24],indispens:6,individu:[1,6,7,10,12,20,23,24],indu:[0,24],indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,23],inf1100:[17,23],inf1100l:[17,23],inf1110:[17,23],inf3000:23,inf4490:[],inf5860:[],infeas:9,infer:[0,1,4,6,22,23],infer_nrow:[0,23],inferenc:1,infil:[0,6,7,9,23],infin:[5,6,7,11,24],infinit:3,infinitesim:20,influenc:[6,10],influenti:1,info:23,inform:[0,1,3,4,6,9,11,12,13,14,18,22,23],infti:[3,6,13,20],ingeni:13,ingrad:2,ingredi:[0,9,23],inher:6,inherit:[18,23],initi:[0,1,2,3,4,6,10,13,14,18,20,23],initial_epoch:[],initialis:[],initialize_root:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],inner:[0,13,24],innov:[],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,20,23,24],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,24],insert:[3,5,6,8,10,20,24],insid:[0,4,7,24],insight:[0,1,5,17,23,24],insist:[6,13,24],inspir:[0,1,12,23],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,23,24],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,20,23,24],institut:1,instruct:[0,1,15,16,23],int32:10,int64:24,int64index:23,int_0:20,int_:[3,6,20],int_a:20,intak:[0,24],integ:[1,2,13,14,18,20,23],integer_vector:1,integr:[3,6,20,23],intellectu:23,intellig:[0,14,22,23],intend:[10,23],intens:1,intention:14,interact:[0,6,9,12,17,23],intercept:[0,6,8,11,13,16,23],intercept_:[0,6,8,9,13,23,24],interchang:[5,12,18],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,17,20,23,24],interfac:[0,1,18,24],interior:[0,9,23],intermedi:[18,24],intern:[1,10,12],interpol:[1,3,4,6,12],interpr:[5,24],interpret:[0,1,3,4,6,9,10,12,13,14,18,20],interv:[0,3,5,6,7,13,20,23,24],intial:13,intract:[0,4,24],intrins:[3,11,18,20,23],intro:[17,22,23],introduc:[0,1,5,6,8,10,12,18,20,23],introduct:[1,2,4,13,22,24],introductori:[0,4,18,22,23,24],intuit:[0,5,6,8,12,13,23],inv:[0,5,13,23,24],invalid:[1,8],invalu:[0,13,15,17,23],invari:1,invd:5,inver:8,invers:[0,3,6,13,15,16,23,24],invers_period:[],inverse_transform:8,invert:[0,5,7,10,13,23],invh:13,invok:[0,8,24],involv:[0,2,6,7,11,12,24],io:[0,17,19,21,22,23,24],iomanip:[],iostream:[],ip:[0,8,20,23],ipca:11,ipykernel_20528:1,ipykernel_20614:6,ipykernel_20669:13,ipykernel_20702:23,ipykernel_41811:[],ipykernel_42331:[],ipykernel_42376:[],ipykernel_42449:[],ipykernel_42456:[],ipykernel_42530:[],ipykernel_42541:[],ipykernel_42553:[],ipykernel_42573:[],ipykernel_42580:[],ipykernel_42586:[],ipykernel_47411:[],ipykernel_47448:[],ipykernel_47647:[],ipykernel_47724:[],ipykernel_47735:[],ipykernel_65914:[],ipykernel_9414:[],ipykernel_94478:[],ipykernel_94529:[],ipykernel_94582:[],ipykernel_96694:[],ipynb:[17,23],ipython:[0,5,7,9,11,14,15,17,23,24],iq:6,irfft2:[3,4,14],irfft:[3,4,14],irfftn:[3,4,14],iri:[8,9],irreduc:6,irrelev:[5,24],irrespect:[0,23],is_integ:[],isbox:[2,13],iscomplexobj:[],isinst:[],isn:5,isnul:[0,24],isomap:11,isotop:23,issu:[1,3,4,9,14,18,24],it_arrai:13,item:[0,13,23],items:[18,23],iter:[1,2,4,6,7,8,11,13,14,20],itr:[],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23],itself:[5,6,12,20,24],ix:[],j1:18,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,20,22,23,24],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknavg:[],jackknif:[6,17,23],jackknstd:[],jackknvar:[],jackknvec:[],jacobian:[2,13],jacobian_shap:2,jakobsen:[21,23],jargon:[],jason:4,jax:[3,4,14,17,23],jaxlib:[3,4,14],jensen:[21,23,24],jerom:22,jhfgq77fpq:[],ji:[12,18],jit:13,jj:[0,5,6,23],jk:[0,1,6,12,18,23],jl:[0,23],jm:18,jnp:[3,4,13,14],joao:[],joaogca:[],job:[2,8,10],join:[0,4,6,7,9,23,24],joint:[4,5],journal:[],judg:13,judgement:6,julia:[17,18],jump:20,junk:4,jupit:23,jupyt:[0,15,17,22,23],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,20,23,24],justif:[0,23],justifi:[3,10],jy:[],jydg2xzka5:[],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,23,24],kaggl:6,kappa_d:20,karim:[],karl:[21,23],karlsen:[],karush:8,kate:23,katrin:[21,23],keep:[0,1,4,5,6,11,13,14,18,23,24],keepdim:[1,6,10,18],kei:[0,1,3,6,12,24],kept:[4,6,14],kera:[0,4,17,23],kernel:[0,1,3,17,23,24],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,23],kevin:[22,23],keyboardinterrupt:2,keyerror:2,keyword:[6,13,18,23],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,24],kind:[0,2,3,4,8,12,13,14,23,24],kj:[6,12,18,24],kjm:[17,23],kkt:8,kktsolver:[],kl0m3:[],kl:20,km:[12,23],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,23,24],knowledg:[0,17,23],known:[1,3,4,5,6,7,8,9,12,18,20,22,24],kondev:[0,23],kp:20,kpca:11,kroneck:14,kuhn:8,kutz:[],kvalsund:[21,23],kwarg:[0,2,13,23],kwd:[0,23],kwown:[0,23],l0:7,l1:[0,1,3,7,23],l1_l2:[1,3],l1regl:5,l1regls_mosek2:[],l1regls_mosek:[],l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,20,23,24],l_1:7,l_2:[7,13],l_:18,l_j:12,la:13,la_i:12,la_k:12,lab:[17,23],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,20,23,24],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,24],laboratori:[19,24],lack:[0,23],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,20,23,24],lambda_0:11,lambda_1:[5,8,11,24],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,24],lamda:1,lamdbda:[],land:[0,8,24],landmark:8,landscap:13,langl:[0,6,11,20,23,24],languag:[0,1,4,8,15,17,18,22,23],lapack:[18,23],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,20,22,23,24],larger:[0,3,5,6,8,10,11,13,20,23,24],largest:[4,8,11],lasso:[0,7,17,23],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,18,20,21,23],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,23],latest:[4,17],latest_checkpoint:4,latex:23,latter:[0,3,6,7,8,11,13,16,18,20,23,24],lattic:12,law:[0,23],lax:[3,4,14],layer:[0,4,13,14,23],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,23],le:[5,7,10,13,20,24],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,20,23,24],leaf:9,leaki:1,leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,19,21,22],learnabl:3,learner:10,learnig:23,learning_r:[8,10],learning_rate_init:[0,1,23],learning_schedul:13,least:[0,2,7,8,10,11,15,16,17,18,20],leat:13,leav:[0,1,3,5,6,9,11,23],lectur:[0,1,5,10,11,12,13,15,17,18,19,21,22],lecturenot:[0,17,22,23],lecturenovember11:[],lecturenovember12:[],lecturenovember19:[],lecturenovember25:[],lecturenovember26:[],lecturenovember4:[],lecturenovember5:[],lectureoctober14:[],lectureoctober15:[],lectureoctober1:[],lectureoctober21:[],lectureoctober22:[],lectureoctober28:[],lectureoctober29:[],lectureoctober7:[],lectureoctober8:[],lectureseptember10:[],lectureseptember16firstpart:[],lectureseptember16secondpart:[],lectureseptember17:[],lectureseptember23:[],lectureseptember24:[],lectureseptember2:[],lectureseptember30:[],lectureseptember3:[],lectureseptember9:[],lecturethursdayaugust26:[],lecturethursdayaugust27:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,23,24],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,23,24],len_index:[0,23],length:[0,1,2,3,4,8,9,13,16,17,23,24],length_of_sequ:4,leq:[0,5,7,8,13,14,20,23,24],less:[0,1,3,4,5,6,8,9,13,17,20,23,24],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],letter:[0,16,18,20,23,24],level:[0,1,5,6,9,17,18,19,21,23,24],li:[8,11,23],lib:[0,1,2,3,4,6,7,8,11,13,14,23,24],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,20,22,24],licens:[0,1,3,4,14,15,17,23],lie:[0,6,11,20,24],life:[0,1,8,12,23],lifetim:13,like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,20,23,24],likelihood:[0,1,5,9,23,24],lim_:20,lima:[21,23],limit:[0,5,6,7,8,11,12,18,23,24],lin_clf:8,lin_model:[0,24],lin_reg:9,linalg:[0,2,3,4,5,6,8,11,13,14,18,20,23,24],line1:8,line2:8,line2d:13,line3:8,line:[0,2,3,4,6,8,9,10,11,13,14,15,23,24],linear:[1,3,5,6,7,9,10,11,12,17,20],linear_model:[0,5,6,7,8,9,10,11,13,23,24],linear_regress:6,linear_util:[3,4,14],linearli:[5,24],linearloc:[6,13],linearregress:[0,6,7,9,23,24],linearsvc:8,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10],link:[0,4,9,12,17,21,23],linlag:5,linpack:[18,23],linreg:[0,23],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,20,23,24],linu:4,linuek:[],linux:[0,1,15,17,23],liquid:[0,23],list:[0,1,2,3,4,9,17,23,24],listcomp:2,listedcolormap:[9,10],lite:[3,4,14],lite_const:[3,4,14],literatur:[1,7,14,22],littl:[1,3,9,12],live:8,ll:[0,20,23,24],llc:[3,4,14],lle:[0,24],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,23],lmbd_val:[0,1,3,23],lmbda:13,ln:[1,13],lo:[],load:[0,1,4,6,7,9,10,24],load_boston:[0,24],load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,23],local:[0,1,2,3,7,12,13,23,24],locat:[2,3,8],lock:[],log10:[0,2,5,6],log1p:2,log:[0,1,2,3,4,5,6,7,9,10,11,13,14,18,23,24],log_:[0,23],log_clf:10,logarithm:[0,5,7,18,23],logic:[0,1,9,23],logist:[0,1,2,8,9,10,11,12,13,17,24],logistic_predict:[],logisticregress:[7,9,10,11],logit:7,logreg:[7,9,10,11],logspac:[0,1,3,5,6,23],longer:[2,3,8,10,14,18,20,23],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,18,20,23,24],lookup:[3,4,14],loop:[1,4,6,10,12,14,17,18,23],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,23],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,24],low:[0,6,9,10,11,23,24],lower:[0,1,3,6,9,10,16,18,24],lowercas:[18,23],lowest:[9,13,20],lr:[1,3,4,10],lstat:[0,24],lstm:4,lstm_2layer:4,lstsq:[0,23,24],lt:6,lu:[0,3,4,5,14,23,24],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,23],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,19,20,21,22,23,24],m_1:14,m_:[9,12],m_h:[0,23],m_k:14,m_l:12,m_n:[0,23],m_p:[0,23],m_t:13,ma:11,mac:[3,4,14],machin:[1,3,4,5,6,7,9,10,11,12,14,15,18,19,22,24],machinelearn:[0,6,17,19,21,22,23,24],machinelearningmurphi:[],mackai:22,made:[0,1,3,4,5,6,7,9,11,12,23,24],mae:[0,23],magic:4,magnitud:[1,6,7,13,24],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,20,24],mail:[19,21],main:[0,1,3,4,5,6,7,9,18,22,23,24],mainli:[0,5,6,7,9,23,24],maintain:[6,24],major:[1,6,9,10,13,18,23],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,22],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,24],make_vjp:[2,13],makedir:[0,6,7,9,23,24],makeplot:[0,23],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,23],mandatori:[21,23],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,20,22,23,24],manifold:11,manner:3,manual:[6,24],map:[0,1,2,3,4,6,7,8,11,12,14,20,23],margin:[0,5,8,23],mari:[],marit:[0,23],mark:23,marker:[0,7,18,23,24],markov:[17,23],marsaglia:20,mask:[],mass:[0,1,5,13,24],massag:[0,23],masses2016:[0,23],masses2016ol:[0,23],masses2016tre:0,masseval2016:[0,23],master:[6,19,21,23],mat1100:[17,23],mat1110:[17,23],mat1120:[17,23],mat3155:[],mat4155:[],mat:[17,23],match:[0,1,4,5,13,14,23,24],materi:[4,5,7,13,18,21],math:[3,7,12,13,18,20,22,23],mathbb:[0,4,5,6,7,8,11,12,13,14,18,20,23,24],mathbf:[0,5,6,7,8,13,18,23,24],mathcal:[1,5,6,7,13],matheemat:3,mathemat:[0,6,11,12,13,17,18,20,22,23],mathemati:23,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,20,23,24],matmul:[1,2,5],matmul_adjoint_1:[],matmul_vjp_0:[],matmul_vjp_1:[],matnat:22,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],matplotlibdeprecationwarn:[6,13],matric:[0,1,3,4,6,7,8,11,13,16,17,24],matrix:[0,2,3,4,6,7,8,10,13,15,16,20],matshow:1,matter:[2,3,13,24],max:[0,1,2,3,4,9,10,12,13,21,23],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,7,8,11,13,23],max_iter:14,max_leaf_nod:10,max_queue_s:[],max_sampl:10,maxdegre:[0,6,10,24],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,1,2,3,5,7,8,9,10,13,14,23,24],maxpolydegre:[5,6],maxpooling2d:3,mbox:[5,6,24],mc:[],mccorduck:23,mcculloch:12,mcint:[],mcintsqr2:[],md:11,mdoel:4,mdyt6uwokt0:[],mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20],mean_absolute_error:[0,23],mean_divisor:14,mean_i:20,mean_matrix:14,mean_squared_error:[0,4,6,7,10,23,24],mean_squared_log_error:[0,23],mean_vector:14,mean_x:20,meaning:[0,4,7,23],meansquarederror:[0,23],meant:[2,3,7,10,13],meantempvec:[],meanvec:[],measur:[0,1,2,5,6,9,11,12,14,20,23,24],mechan:[0,4,20,23],median:[0,23,24],medicin:12,medium:[4,8,13],medv:[0,24],meet:[0,21],mehta:[0,23,24],memori:[3,4,11,12,13,18,23],mention:[0,12,13,20,23],mere:[0,15,23],mersienn:[],meshgrid:[2,5,6,8,9,10,11,24],messag:[5,13],messi:2,met:[0,3,8,23,24],metadata:2,meteorolog:9,meter:[6,24],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,22,23,24],metion:6,metric:[0,1,3,4,6,7,9,10,14,15,16,23,24],metropoli:[17,23],mev:[0,20,23],mgd:13,mglearn:[17,23],mgrid:13,mhjensen:[1,2,3,4,6,7,8,11,14,24],mi:10,mia:[21,23],michigan:[23,24],microsoft:22,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,24],mild:9,miller:[],millimet:[6,24],million:[0,23,24],mimic:12,min:[0,2,5,8,9,23],min_:[0,2,5,14,23,24],min_samples_leaf:9,mind:[0,6,13,23,24],mindboard:4,mine:[17,23],mini:[1,11,12,13],minibatch:[1,11,13],minibathc:13,miniforge3:[0,1,2,3,4,6,7,8,11,13,14,23,24],minim:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,24],minima:[0,1,7,13,23],minimum:[0,1,2,6,8,9,11,13,24],minmaxscal:[0,24],minor:[6,13,20],minst:1,minu:7,mirror:9,misc:6,misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10,24],mistak:4,mit:22,mix:[1,2,23],mixtur:13,mk48pfcxgyk:[],mk:[9,18],mkdir:[0,6,7,9,23,24],ml:[0,1,10,13,18,24],mlab:20,mle:[5,7],mline:[],mlir:[],mlir_graph_optimization_pass:[],mlp:1,mlpclassifi:1,mlpregressor:[0,23],mm:18,mn:[12,20],mnist:[1,11],mod:20,mode:[19,21,23],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,20,22,24],model_select:[0,1,3,5,6,7,9,10,11,23,24],modelanalyz:[3,4,14],moder:10,modern:[0,6,7,17,23],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,23,24],modul:[0,3,4,7,11,14,18,23],modular:20,modulenotfounderror:[],modulo:20,moe:[11,24],moment:[5,6,13,20],monitor:13,monoton:[5,12,20],mont:[0,6,17,20,22,23],montecarlocycl:[],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20],moreov:[0,3,23],morten:[21,23,24],mortenimac:[],mosek:[],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,20,23,24],mostli:[1,11],motion:[0,13,23],motiv:[1,4],move:[0,4,5,6,7,9,12,13,14,20,23,24],mp4:[],mpl:[0,7,23],mpl_toolkit:[2,6,13],mplot3d:[2,6,13],mplregressor:1,mse:[0,4,5,6,9,10,15,16,23,24],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:[0,23,24],msle:[0,23],mt19937_64:[],mt:[7,12],mu0:20,mu1:20,mu2:20,mu:[0,6,11,13,20,23],mu_1:24,mu_:[6,20,24],mu_i:[6,24],mu_n:11,mu_x:20,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,20,23,24],mul:[],multi:[0,1,3,7,17,23,24],multiclass:[1,7],multidimension:[11,12,23],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,20,24],multipli:[2,3,5,6,11,13,18,20,24],multiplum:8,multivari:[0,2,10,11,17,20,23],multivariate_norm:[11,14],murphi:[11,22,23],must:[0,1,2,5,6,8,10,12,13,14,20,23,24],mutat:7,mutual:[1,3,6,13],mx_:20,myenv:[0,1,2,3,4,6,7,8,11,13,14,23,24],myriad:[0,15,17,23],mz1:20,mz2:20,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,20,23,24],n_0:[12,20],n_:[1,2,3,8,12,20],n_b:[],n_boostrap:[6,10],n_bootstrap:6,n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:13,n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,23],n_i:20,n_input:[0,1,3,24],n_instanc:9,n_iter_i:[7,11],n_job:10,n_k:14,n_l:[12,20],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14],n_split:6,n_step:4,n_t:2,n_x:2,nabla:[1,13],nabla_:[2,13],nabla_w:13,nag:13,naimi:[0,23],naiv:7,naive_kmean:14,najafi:[21,23],nall:[0,23],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,23,24],nameerror:[6,10,15],namespac:[3,4,14],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5,24],nativ:[17,23],natur:[0,1,4,8,9,12,13,20,22,23],navier:12,nb:20,nb_:18,nbconvert:23,nboot:[],nd:14,ndarrai:[2,6],ndef:13,ndim:[],ne:[9,10,18,20,24],ne_xcl2ctm0:[],nearest:[1,3,6,11],nearli:13,neat:23,neccesari:6,necess:2,necessari:[0,1,3,4,8,14,23],necessarili:[0,4,11,20,23],necesserali:5,neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,24],neg:[0,1,3,5,6,7,10,13,18,20,23],neg_mean_squared_error:6,neglect:20,neglig:20,neighbor:[3,6,11],neither:[4,13],neq:[13,14,20],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,23],network:[0,9,13,17,22,24],neural:[0,13,17,22,24],neural_network:[0,1,2,23],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,23],neutron:[0,23],never:[1,4,6,9,20],new_box:[2,13],new_chang:13,new_hobbit:23,new_root:[2,13],new_trac:[2,13],new_tracing_count:[],newaxi:[0,3,6,9],newli:[0,23],newton:[1,7,8,13,20],next:[0,1,2,3,4,5,6,8,9,13,14,23,24],next_guess:13,next_input:4,nf8_grad:13,nfrom:13,ng:1,ngini:9,ni:14,nian:[],nice:[0,1,5,11,23,24],nichola:[],nicholaskarlsen1102:[],nimport:13,niter:13,nitric:[0,24],nlambda:[0,5,6],nlevel:[],nlp:22,nm:20,nm_n:[0,23],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:2,nois:[0,4,5,6,8,9,10,13,15,16,23,24],noise_dimens:4,noisi:[1,6],non:[0,1,3,5,6,7,9,10,11,12,13,14,18,20,23,24],none:[0,1,2,3,4,5,9,10,13,14,20,23,24],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:20,nonsingular:18,nonumb:[3,7,8,13,18],noqa:[3,4,14],nor:[1,4,13],norm:[0,1,5,6,8,11,13,23,24],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],normali:[18,23],normalize_kwarg:[],norvig:23,norwai:[6,23],notat:[0,2,5,6,13,14,20,23,24],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,22,23],notebook:[0,1,3,9,15,17,23],notesexercise5week452022:23,noth:[1,2,5,8,12,14,20,24],notic:[4,5,12,13,18,20,23],notimplementederror:2,notion:3,notrace_primit:[],novel:[3,6,10],novemb:[1,19,21,23],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,20,23,24],nowadai:[0,1,3,9,17,23],nox:[0,24],np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,23,24],npr:2,nprint:13,nsampl:[6,9],nspin:[],nt:2,nthi:[0,23],ntrained_model:6,nu:20,nuclear:[5,24],nuclei:[0,20,23],nucleon:[0,23],nucleu:[0,23],num:4,num_allow_arg:[0,23],num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_output:[],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,23],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,22,23,24],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,24],numpy_box:2,numpy_rank_promot:[3,4,14],numpy_vjp:2,numpy_wrapp:2,nunmpi:[5,24],nvalu:9,nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:20,ny_pr:6,ny_train:6,ny_train_mean:6,o:[0,6,7,8,9,11,15,18,21,22,23,24],obei:[6,11,13,24],object:[0,1,2,4,6,8,10,13,18,23,24],objsens:[],obliqu:[5,24],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,20],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,20,23,24],obviou:[5,6,11,20,24],obviouli:23,obvious:[0,4,5,6,18,23],oc:24,occupi:[0,24],occur:[0,6,8,9,18,20,23],octob:[19,21,23],od:0,odd:[0,3,7,23,24],odenum:2,odesi:2,oen:0,off:[1,3,4,5,9,13,20],offer:[6,11,17,18,19,21,23],offic:[21,23],offici:[19,23],ofil:[],ofstream:[],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],ofter:[18,23],oh6i_oscwpc:[],ol:[0,13,15,16,23,24],old:[1,5,10,13],ols_sk:6,ols_svd:6,olsbeta:[0,5],olxksel3p4a:[],omega:[2,3,6],omega_0:3,omit:[0,5,23,24],on_train_batch_begin:[],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,20,21,23,24],oneapi:[],onednn:[],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,23,24],ones_lik:4,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],onlin:[11,19],onto:[5,11,24],op_nam:[],opbdi:[],open:[0,1,4,6,7,9,15,17,19,21,23],oper:[0,1,3,4,5,6,10,11,12,13,14,15,17,20,23,24],operation:20,ophint:[3,4,14],oplu:20,opmiz:13,opportun:[0,23],oppos:[6,13],opposit:[1,5,8,24],opresolvertyp:[3,4,14],opt:[1,5,23],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16],optimis:[1,3],optimizer_v2:[],option:[0,1,3,5,6,7,8,11,18,24],optionalxlacontext:[],optmiz:[1,8,13,24],oral:23,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,20,23,24],ordinari:[0,2,3,7,11,13,15,16,17],oreilli:22,org:[0,3,4,7,11,17,18,22,23],organ:[6,7,10,18],orient:[1,5,20,24],origin:[0,3,5,6,8,11,12,13,18,23,24],orthogn:[5,24],orthogon:[0,5,6,8,11,13,18,23,24],orthonorm:[5,24],os:[0,1,4,5,6,7,8,9,21,23,24],oscar:1,oscil:[3,13],oslo:[0,15,17,19,21,23,24],osx:[0,15,17,23],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22],otherwis:[0,1,4,7,13,18,23,24],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,20],ourmodel:0,ourselv:[0,5,6,8,11,13,23,24],out1:2,out2:2,out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,20,23,24],out_fil:9,outcom:[0,7,9,10,12,20,24],outdoor:9,outer:[6,12,13],outfil:4,outfilenam:[],outgrad:2,outlier:[0,8,23,24],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,20,23,24],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,23,24],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,23],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,23,24],overst:[0,23],overtrain:4,overview:3,own:[4,5,6,8,12,13,17,18],owner:[0,24],ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:[0,24],oyvinssc:[],p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],p_:[2,4,8,9],p_hidden:2,p_i:[5,20],p_j:20,p_n:20,p_output:2,p_x:20,pack:[0,23],packag:[0,1,2,3,4,5,6,7,8,11,13,14,15,17,20,24],pad:[3,4],page:[0,17,23],pai:[0,1,9,13],pair:[0,2,3,9,17,20,23,24],pamilla:23,panda:[0,4,5,6,7,9,11,15,17],panel:23,paper:1,paradigm:[0,23],parallel:[3,4,10,13,14,17,18,23],param:2,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,20],parameter:[0,6,10,23,24],parametr:[0,6,15,16,23,24],paramt:[3,5],parent:2,parent_argnum:2,park:[],parser:[0,23],part:[0,1,3,5,6,10,18,19,20,21,23],partial:[0,1,3,4,5,6,7,8,10,11,12,13,14,16,20,23,24],partialmethod:[3,4,14],particip:[17,19,21,23],particl:[0,4,13,20,23],particular:[0,1,2,3,5,6,9,10,11,12,13,16,20,22,23,24],particularli:[5,6,8,11,13,20,24],partit:[1,4,9],partli:[6,23],pass:[2,3,12,14],past:[10,20],patch:[6,20],path:[0,4,6,7,9,15,17,23,24],patient:7,patter:4,pattern:[0,3,4,12,19,22,23],pauli:[0,23],pc:[11,17],pca:[0,7,17,23,24],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,23,24],pde:2,pdf:[0,3,4,5,6,9,22,23],pedagog:[0,23,24],penal:[6,24],penalti:[6,13,24],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17,24],per:[0,1,6,19,21,23,24],percentag:[0,10,11,21,24],perceptron:[0,1,7,23],peregrin:23,perfect:[0,1,13,23],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,23,24],performac:4,perhap:[0,5,13,23,24],perimet:[1,9],period:[1,4,20],permut:11,persist:13,person:[5,6,7,19,21,23,24],perspect:22,pertin:12,petal:[8,9],peter:22,petersen:[],phantom:20,phase:[6,12],phawkin:[3,4,14],phenomena:20,phi:8,phi_k:8,philip:[],philosophi:13,phone:[21,23],photo:4,phrase:[0,23],physic:[0,1,4,7,12,13,20,21,22,23,24],pi:[2,3,5,6,7,9,12,13,20],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,23],pie:[17,23],piec:[11,14],pillow:[0,15,17,23],pinv:[5,6,13,24],pip3:[0,1,15,23],pip:[0,1,15,17,23],pipelin:[0,6,8,10,24],pippin:23,pit:4,pitfal:[6,24],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,23],plai:[0,3,4,5,6,8,11,17,23,24],plain:[8,10,12,13,14],plan:[6,9,21,22,23],plane:[8,9],plateau:5,platform:[17,23],plausibl:12,pleas:[3,4,6,7,11,13,14,21,23,24],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],plot_confusion_matrix:[7,10],plot_count:6,plot_cumulative_gain:[7,10],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10],plot_surfac:[2,6,13],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],plu:[0,3,5,7,23,24],pm:8,pmatrix:2,pml:22,pn:3,png:[0,4,6,7,9,23,24],pocketfft:[3,4,14],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],point_1:4,point_2:4,poisson:[17,20,23],poli:[6,8],pollut:[3,4,14],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,24],polygon:13,polym:12,polynomi:[0,5,6,7,8,9,10,11,15,16,23,24],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,24],polytrop:[0,6,23],pool:3,pool_siz:3,poor:[1,13],poorli:[0,24],pop:2,popul:[0,5,23,24],popular:[0,1,3,6,7,8,9,11,12,15,17,18,20,23,24],popularli:[0,23],portabl:10,portion:[11,13],pose:[0,4,5,6,11,20,23],posit:[0,1,2,3,5,7,8,10,11,13,14,18,20,23,24],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,21,23,24],posterior:5,postpon:[0,23,24],postul:5,potenti:[0,3,5,6,12,13,23,24],potr:[],potrf:[],pott:12,power:[0,1,5,6,8,9,12,13,23,24],pp:[5,6],practic:[0,5,6,7,8,20,24],practition:[0,1,3,23],pre:23,preced:[1,11,12,20],preceed:4,preceq:8,precis:[0,2,5,11,13,18,20,23,24],pred:6,predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,17,22,23,24],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,23,24],prefer:[0,1,6,8,9,11,13,15,17,23],prepar:[0,6,18,23,24],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,presenc:13,present:[0,5,6,7,9,12,13,18,20,23,24],preserv:[3,11,18],press:[13,22],pretrain:[1,4],pretti:[0,4,8,9,15,17,23],prev_centroid:14,prevent:[13,20],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,20,24],previous:[2,3,9,10,20],price:[0,4,9,13,24],primal:8,primari:[0,7,23],prime:20,primit:2,primitive_batch:[3,4,14],princip:[0,5,7,17,23,24],principl:[0,6,7,8,14,23],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],print_funct:[8,9],printout:[0,23],prior:[0,5,6,23,24],privat:[0,23],prob:[1,20],probabilist:[0,22,23,24],probabl:[0,1,3,4,6,7,10,13,17,23,24],problem:[0,3,4,5,6,7,8,9,10,11,12,14,16,17,18,20],probml:22,proce:[0,5,6,7,8,9,10,11,13,18,23,24],procedur:[2,4,5,6,8,10,11,13,24],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,20,22,23],prod:22,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,20,23,24],product:[0,1,3,5,6,7,8,12,13,16,17,18,23,24],profess:[0,23],program:[0,1,4,5,6,8,12,14,15,16,17,18,19,20,21,23,24],programm:18,progress:[1,4,14],prohibit:6,project1:6,project:[0,1,2,3,5,11,13,17,19,21,24],project_root_dir:[0,6,7,9,23,24],promin:12,promis:8,promot:[21,23],prone:9,pronounc:[13,17,23],proof:[0,11,12,13,23],propag:[2,3,13],proper:[0,2,6,7,23],properli:[1,6,8,10,13],properti:[0,1,3,12,13,16,18,23],proport:[0,1,5,9,11,13,16,20,23,24],propos:[1,4,6,10,23],propto:[5,13],protect:[],protobuf:[],proton:[0,23],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,20,23,24],proxi:[1,13],prune:9,pseudo:[18,20],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,20],psycholog:[0,23],pt:13,ptratio:24,punish:[0,1,23],pure:[3,9,20],purest:9,puriti:9,purpos:[0,3,10,12,14,23,24],put:[1,23],putarow:[],putboundslic:[],putclist:[],putobjsens:[],putqobj:[],py:[0,1,2,3,4,5,6,7,8,11,13,14,23,24],pycod:23,pydata:17,pydot:9,pyhton2:23,pylab:[0,7,23],pylint:[3,4,14],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],pythagora:5,python2:[0,15,23],python3:[0,1,2,3,4,6,7,8,11,13,14,15,17,23,24],python:[1,2,3,4,5,6,8,11,12,13,14,16,20,24],pytorch:[0,17,23],pywrap_tf:[],q:[5,6,8,11,20,24],qn_bavhmd8u:[],qp:8,qquad:[2,11,13,18],qr:[5,6,18,24],quad:[1,13,18],quadrat:[0,8,9,13,15,16,23],qualit:[4,9,20],qualiti:[0,9,15,16,17,23,24],quantifi:1,quantil:10,quantit:[0,6,9,23],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,20,23,24],quantum:[4,12,22,23],quartil:[0,24],quench:5,queri:9,question:[0,5,6,9,11,12,13,21,23,24],qugan:4,quick:[4,20],quick_execut:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,24],quot:[4,23],r2:[0,5,6,23,24],r2_score:[0,23,24],r2score:[0,23],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,24],r_1:9,r_2:9,r_j:9,r_m:9,rad:[0,24],radial:[0,8,12,24],radioact:20,radiu:[0,1,9,24],rag:2,rain:9,rais:[0,2,13,23],ramp:1,ran0:20,ran1:20,ran2:20,ran3:20,rand:[0,4,5,6,9,10,13,15,16,18,23,24],rand_max:[],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,23,24],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,23,24],random_devic:[],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11,24],randomforestclassifi:10,randomli:[1,6,9,13,14],randomnumbergener:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,20,23,24],rangl:[0,6,11,20,23,24],rangle_x:20,rank:[5,24],rankdir:4,raphson:[1,8,13],rapidli:[0,23],rare:[1,13,23],rate:[0,1,2,3,4,8,9,10,12,13,24],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],ratio:[4,7,9,10,11],rational:[0,23],ravel:[5,6,7,8,9,10,11,13,18,24],raw:3,raw_df:24,rbahrf:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,20,24],rcond:[0,23,24],rcparam:[0,1,3,7,8,9,10,20,23],rd:[],rdbj50lv3go:[],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,22],read_csv:[0,6,7,9,23,24],read_fwf:[0,23],reader:[0,6,18,20,23,24],readi:[0,1,5,6,8,10,11,12,18,23],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,24],real_loss:4,real_output:4,realist:8,realiti:20,realiz:[1,12],realli:[0,1,23],rearrang:13,reason:[0,1,3,4,10,13,22,23],reassign:1,rebuild:[],recal:[5,6,9,10,11,12,18,20,23,24],recalcul:[],recast:3,receiv:[1,3,10,12,20],recent:[0,2,3,4,6,9,10,13,14,15,22,23],recept:[3,12],receptive_field:3,recip:[0,6,7,18,23,24],reciproc:5,recogn:[0,4,5,10,23],recognit:[0,1,3,12,19,22,23],recommend:[0,2,3,4,5,6,8,13,15,17,18,22],reconsid:9,reconstruct:11,record:[10,19,21,23],recreat:[],rectangl:[9,13],rectangular:[5,24],rectifi:[1,3,12],recur:[0,17,23],recurr:[0,1,17,23],recurs:[9,17,18,23],recycl:[],red:[0,3,4,6,8,9],redefin:[0,10,23,24],reduc:[1,3,5,6,9,10,11,13,23],reduct:[0,10,11,17,20,23,24],refer:[0,1,2,3,5,6,7,11,12,13,14,18,22,23,24],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,20,23],refresh:[17,23],refreshprogrammingskil:23,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12],regist:[6,20],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18],regressor:[0,7,10,23],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,21,23,24],regularis:6,reilli:[0,15,22,23],reinforc:[0,8,17,23],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,20,23,24],relat:[0,1,3,4,5,11,13,14,18,20,23],relationship:[0,4,9,23],relativeerror:[0,23,24],releas:[1,6,13,17,23],relev:[0,1,5,7,11,15,17,20,23],reli:[0,3,4,6,8,14,23],reliabl:[7,20],relu:[3,4],remain:[1,2,4,6,12,18,20,24],remaind:20,reman:2,remark:1,rememb:[0,8,13,18,23],remind:[0,5,11,13,18,20,24],remov:[0,4,5,6,23,24],render:[0,23,24],reorder:[5,7,24],reorgan:[0,23],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,20,23],repeated:23,repeatedli:[0,6,10,13],repet:3,repetit:[6,23,24],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,23,24],replica:6,report:23,repositori:[0,4,23,24],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,24],represent:[0,1,3,6,20,23],representd:3,reproduc:[0,5,6,9,12,15,16,17,20,23,24],repuls:[0,23],request:[0,13,23],requir:[0,1,3,4,5,6,8,9,11,12,13,18,23,24],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:6,resampl:[0,7,10,17,23,24],rescal:[0,11,12,24],rescu:5,reseach:6,research:[0,4,13,17,22,23],resembl:[6,20],reserv:[1,5,6,20],reset:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,23,24],residenti:[0,24],residu:[0,5,13,23],resiz:[5,24],resourc:23,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,20,23,24],respond:12,respons:[0,7,9,12,23,24],rest:[0,5,24],restat:[0,12,23],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,23],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23],result_typ:[],retail:[0,24],retain:[5,6,24],return_data:14,return_kwarg:[],return_sequ:4,return_x_i:9,reus:[1,3,6],reveal:[0,12,23],revers:[1,18],review:[17,18],revisit:14,revolut:23,reward:[0,4,23],rewrit:[0,3,5,6,7,8,10,11,12,13,18,20],rewritten:[2,6,8,10,20],rewrot:13,rf:10,rfft2:[3,4,14],rfft:[3,4,14],rfftfreq:[3,4,14],rfftn:[3,4,14],rgb:3,rgoj5yh7evk:17,rh:6,rho:[0,10,13,23],rho_1:10,rho_2:10,rho_m:10,rich:[0,23],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,23],ridge_sk:6,ridgebeta:5,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,20,23,24],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,20,23,24],rigor:[0,23],ring:6,rise:[0,23],risk:[0,13,15,16,23],rival:4,river:[0,24],rm:[0,20,24],rmse:[0,24],rmsporp:13,rmsprop:[1,3,4,13],rnd_clf:10,rng:20,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:20,rntrick2:20,rntrick3:20,rntrick4:20,ro:[0,13,23],robert:22,robust:[0,23],robustscal:[0,24],roc:[7,10],role:[0,2,5,6,8,17,23,24],roll:6,room:[0,21,23,24],root:[0,5,9,13,20,23,24],rot:23,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,24],routin:[13,18,23],row:[0,1,2,5,6,7,9,11,18,23,24],rr:[5,24],rrr:[5,24],rthe:[],rug:13,rule:[0,1,5,6,13,23,24],run:[0,1,2,4,5,6,8,9,11,13,15,17,23,24],runtim:[1,6,14],runtimewarn:[1,6],russel:23,rust:[0,15,17,18,23],rustad:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,20,23,24],s_1:6,s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,safe:[],safe_zip:[3,4,14],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,20,23,24],said:[6,9,13],sake:[0,5,7,11,23,24],sale:[0,23],sam:23,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,20,23,24],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,20,23,24],sample_vari:14,sample_weight:[],sampleexptvari:20,samwis:23,sastri:11,satisfactori:[0,23],satisfi:[1,2,3,6,8,13,18,20],satur:[1,6],save:[0,4,6,7,9,13,23,24],save_fig:[0,6,7,9,10,23,24],savefig:[0,4,6,7,9,20,23,24],savetxt:4,saw:[5,24],scalabl:10,scalar:[2,5,6,10,13,24],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23],scale_mean:4,scale_std:4,scalei:[],scaler:[0,7,8,9,10,11,24],scalex:[],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,23,24],scenario:[6,13],schedul:[13,21],scheme:[1,13],schigsog2l:[],schrage:20,scienc:[0,1,10,12,13,17,19,20,21,22,24],scientif:[0,15,17,23],scientist:[0,23],scikit:[3,5,6,7,8,9,10,13,17,18,19,22],scikit_learn:[0,16],scikitlearn:23,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,23,24],scl:6,score:[0,1,3,6,7,9,10,11,15,16,21,23,24],scores_kfold:6,scratch:[1,13],sdg:13,sdt_bfla8ua:[],seaborn:[0,1,3,6,7,23,24],seamless:[0,15,17,23],search:[0,1,3,5,9,13,23],sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,23,24],secondeigvector:11,secondli:12,section:[4,11,18,20,24],sector:[0,23],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,23,24],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,20,23,24],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,23],seen:[0,1,3,5,10,12,20,23],segment:13,seismic:6,seldomli:[0,23],select:[1,5,6,8,9,10,11,19,20,21,22,23,24],self:[1,2,5,24],sell:4,semest:[7,19],semi:[8,13],semilogx:6,send:[5,12,13,21,23],senior:[19,21],sens:[0,4,6,8,23],sensibl:3,sensit:[0,5,6,9,13,23,24],sent:2,sentenc:[4,12],sep:24,separ:[0,1,2,3,4,6,8,9,12,14,15,17,20,23],septemb:[16,23,24],sequenc:[2,3,4,7,9,10,12,13,17,18,20,23],sequenti:[1,3,4,10,12,20],seri:[0,1,2,3,4,5,6,10,11,12,13,18,23,24],serif:[0,7,20,23],serv:[0,1,2,3,5,7,13,22,23,24],session:[1,19,21,23],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,20,21],set_major_formatt:6,set_major_loc:6,set_stream:[],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,23],set_xlabel:[0,1,2,3,7,12,23],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,23],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:6,seth:4,setiosflag:[],setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setprecis:[],setse:[],setup:[1,4,6,8,17,23,24],setw:[],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,24],sgd:[1,3],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,24],sh:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,23,24],shape_bas:2,share:[1,3,23],she:7,shift:[1,6,12,20],ship:3,shire:23,shortcom:13,shorten:4,shorter:20,shorthand:23,shortli:[18,23],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,20,23,24],should_sync:[],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],show_shap:4,shown:[0,4,5,7,8,11,12,13,18,24],showpoint:[],shrink:[3,5,6,8,11,24],shrinkag:[5,6,24],shrunk:11,shuffl:[0,1,4,6,13,24],side:[0,2,5,8,12,13,18,23],sigh:[17,23],sigma0:20,sigma1:20,sigma2:20,sigma:[0,1,5,6,7,10,11,12,13,18,20,23,24],sigma_0:[5,24],sigma_1:[5,24],sigma_2:[5,24],sigma_:[5,18,23,24],sigma_fn:[7,12],sigma_i:[0,5,23,24],sigma_j:[5,24],sigma_m:[6,20],sigma_n:[11,20],sigma_t:13,sigma_x:20,sigmoid:[1,2,4,7,8,10,12],sigmundson:[6,24],sign:[1,2,7,8,10,20,21],signal:[1,3,10,12],signatur:[],signifi:4,signific:1,significantli:[1,13,20],sigurd:[],sim:[4,5,6,13,20],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,23,24],similarli:[0,1,3,5,8,10,13,20,23,24],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,20],simple_rnn:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,23],simplernn:4,simplest:[0,1,3,4,9,10,12,14,23],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,20,23,24],simplic:[2,5,6,7,8,9,10,11,12,14,24],simplicti:[5,24],simplifi:[0,6,9,15,17,23,24],simplist:[3,6,20],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,23],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,20,22,23,24],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,24],singular:[0,6,13,18,23],sinusoid:3,site:[0,1,2,3,4,6,7,8,11,13,14,19,23,24],situat:[0,4,5,7,13,20,23,24],six:[3,4,14,20],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,20,23],sketch:10,ski:9,skill:[0,23],skip:11,skiprow:24,skl:[0,6,23,24],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,23,24],skplt:[7,10],sl:6,slack:8,slice:[2,18,23],slide:[0,3,15,16,20,23,24],slight:[6,13],slightli:[1,2,3,5,6,7,10,20,24],slope:[8,11,12],slow:[0,2,8,13,24],slower:[5,18,23,24],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,20,23,24],smaller:[0,1,2,5,6,8,9,11,13,20,23,24],smallest:[0,4,14,15,16,23],smallest_row_index:14,smooth:[0,3,6,9,13,23],sn:[0,1,3,6,7,23,24],sne:11,sneak:23,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,23,24],soar:6,social:[0,23],societ:23,soft:[1,7,10,12],soft_pmap:[3,4,14],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,23],solid:[0,7,23],solitem:[],soltyp:[],solut:[0,1,2,3,5,6,8,10,11,13,18,20,23,24],solutionsummari:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,23,24],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,18],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,20],some_model:[6,24],somehow:4,someth:[0,1,3,4,7,9,11,20,23,24],sometim:[0,1,11,12,13,14,23,24],soon:[18,21],sophist:[0,23],sopt:13,sort:[5,6,9,11,20,24],sound:[3,5],sourc:[0,1,3,6,15,17,18,20,23,24],space:[0,1,4,5,8,9,11,12,13,14,20,24],span:[0,3,5,9,11,18,23,24],spare:1,spars:[3,6,18,23],sparse_mtx:[18,23],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],spdiag:[],speak:20,special:[6,7,10,12,13,18,20,23,24],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,20,22,23,24],specifi:[0,3,5,6,7,9,11,13,14,20,23],specifici:[0,10,23],spectacular:3,spectral:1,speech:[0,1,3,4,12,23],speed:[1,2,4,13],spend:20,sphere:[0,24],spin:6,spite:[0,23],spline:8,split:[1,3,4,5,6,8,9,10,11,14,20],splite:0,splitter:[1,10],spmatrix:[],spontan:20,spot:3,spread:[0,11,20,23,24],springer:[22,23],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,20,24],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20],squarederror:10,squaredeuclidean:14,squash:12,squeez:[],srand:[],srtm:6,srtm_data_norway_1:6,sse4:[],stabil:5,stabl:[0,4,5,6,7,9,11,17,23,24],stack:[2,3,4],stacklevel:[0,23],stage:[5,13],stai:[0,2,4,5,11,23,24],stand:[0,5,9,12,23,24],standadscal:24,standard:[0,1,4,5,6,7,8,10,12,15,16,18,20,23],standard_basi:2,standardscal:[0,6,7,8,9,10,11,24],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,20,21,23,24],start_box:[2,13],start_nod:[2,13],start_tim:14,startpoint:[],stat:[6,24],state:[1,2,4,5,6,7,8,10,11,12,13,17,20,24],statement:[0,7,18],statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,24],statu:[0,7,11,23,24],stavang:6,std:[0,4,6,23,24],stdev:[],stdout:[],steep:13,step:[0,1,2,4,6,7,9,10,11,12,13,14,18,23],step_fn:[7,12],step_length:13,steps_list:9,steps_per_epoch:[],stereo:3,stian:[],still:[0,2,3,5,6,11,13,20],stimuli:12,stk2100:[22,23],stk3155:[15,19,21],stk4021:[22,23],stk4051:[22,23],stk4155:[19,21],stk5000:22,stk:[22,23],stochast:[0,1,5,6,8,11,12,15,16,23],stock:4,stoke:12,stone:[0,7,23],stop:[1,4,7,9,11,13,14],storag:[5,24],store:[0,1,2,3,6,11,13,20,23],storehaug:[21,23],str:[1,3,4],straight:[0,6,8,13,23,24],straightforward:[0,2,3,5,6,8,9,10,13,18,23,24],strategi:[0,1,9,23],stratifi:6,streamtyp:[],strength:[0,5,14,24],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,20],strongli:[0,8,17,18,24],stronli:[0,24],structur:[0,1,2,3,6,9,10,12,17,23],stuck:[1,13],student:[0,19,21,22,23],studi:[0,3,4,5,6,7,8,11,12,13,17,22,23,24],studier:22,style:[0,7,9,18,23],sub:[9,12],subarg:[2,13],subdivid:[0,18,23],subfield:[0,23],subject:[6,8,20],submit:23,submodul:[3,4,14],subplot:[0,1,3,4,6,7,8,9,10,13,14,23,24],subplots_adjust:[8,20],subprogram:[18,23],subract:[0,24],subroutin:[0,23],subscript:1,subsequ:[1,4,5,6,12,18,20,24],subset:[1,6,9,12,13,17,23],subspac:[0,8,11,24],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,2,4,5,6,11,13,18,20],subtre:9,subval:[2,13],succeed:[0,4,23],success:[3,7,9,13,20],successfulli:[4,9],sucess:[],sudo:[0,15,17,23],suffer:[0,1,2,5,10,23,24],suffici:[1,6,8,11,13],suggest:[1,13,22],suit:[8,12],suitabl:[0,20,24],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],sum_i:[0,2,5,6,8,13,24],sum_j:6,sum_ja_:0,sum_k:[6,8,12,18],sum_logist:13,sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9],summari:[1,3,4,10,19],summat:[0,3,16,24],sunni:9,superconduct:24,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,17,23,24],supplement:7,support:[0,1,9,10,11,13,17,23,24],suppos:[0,5,6,7,8,10,11,12,13,18,23,24],suppress:[5,13],sure:[0,1,4,6],surf:6,surfac:[0,6,23],surpass:6,surpris:[0,23],surround:[3,17],survei:[0,5,6,23,24],suyrzm0:[],svc:[8,9,10],svd:[0,6,11,23],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swapax:[],swath:[5,24],sy:[3,4,13,14],symbol:[1,5,11,13,17,20,23,24],symmeteri:1,symmetr:[0,5,8,11,12,13,18,23,24],symmetri:[6,9],sympi:[0,15,17,23],synonim:20,syntax:[1,13],syntaxerror:[1,8],syrk:[],system:[0,1,3,4,6,7,9,10,12,13,15,17,18,23],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23],t_0:[2,9,13],t_1:13,t_:2,t_b:10,t_i:[1,2,5,12,24],t_j:12,t_k:9,tabl:[9,20,21,23],tabul:[0,23],tabular:23,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,20,24],taht:[0,23],tail:20,tailor:[2,8,11,23],taiwan:[0,23],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,20,23,24],taken:[0,1,3,6,10,13,18,23],tan:[2,3],tangent:[1,4,12,13],tanh:[1,4,7,8,12],tape:[],target:[0,1,2,3,4,5,6,7,8,9,10,11,12,23,24],target_meta:2,target_nam:9,task:[0,1,3,6,9,11,12,14,23],tau:[3,5,20],taught:23,tax:[0,24],taylor:[2,13],taylornr:13,tc:8,td:[1,6,13,23],teach:23,team:1,teaser:0,technic:[0,5,6,13,15,23,24],techniqu:[0,1,8,10,13,17,20,22,23,24],technolog:[0,1,23],tek5040:[],tell:[0,4,6,10,11,13,20],temp1:1,temp2:1,temp:1,temperatur:[0,9,23],temporarili:1,ten:[3,23],tend:[3,5,6,8,9,10,12,13,14,24],tendenc:[0,23],tension:6,tensor:3,tensorflow:[0,2,4,8,14,15,17,18,19,22,23,24],term1:[5,6,11,24],term2:[5,6,11,24],term3:[5,6,11,24],term4:[5,6,11,24],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,23,24],termin:[0,4,5,9,10,13,15,23,24],terrain1:6,terrain:6,test:[3,4,5,6,7,8,9,10,13,14,18,20],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:6,test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10],test_siz:[0,1,3,5,6,10,23,24],test_split:9,testerror:[0,6,24],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,22,23,24],textbook:24,textual:9,textur:[1,9],tf:[1,3,4,13,14],tfe_py_execut:[],tflite:[3,4,14],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,20,23,24],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,24],thank:[4,6,24],theano:[1,17,23],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,24],them:[0,1,3,4,6,8,9,10,11,12,13,18,23,24],theme:[0,23],themselv:[0,20,23],thenc:6,theorem:[2,6,7,24],theoret:[0,4,10,23],theori:[0,1,3,8,9,12,13,17,22,23],thereaft:[0,5,6,11,12,15,16,18,23],therebi:[0,5,7,11,23,24],therefor:[0,1,2,3,4,6,7,8,11,13,20,23,24],therein:11,thereof:[0,6,13,23],theta:[1,4,13,20],theta_:[1,13],theta_i:1,theta_k:[],theta_linreg:13,theta_t:13,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24],thing:[0,1,2,4,5,7,9,20,23],think:[0,1,3,4,6,9,12,13,14,20,23],third:[0,3,6,13,21,23],thirti:7,thorughout:23,those:[0,3,5,6,8,9,10,11,18,19,23,24],though:[1,2,3,4,13,18,20],thought:[6,14,20],thousand:[0,1,23,24],thread:[],three:[0,1,3,5,6,8,9,12,15,18,19,20,21,23,24],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,20,23,24],throughout:[0,4,5,14,17,18,20,23],thu:[0,1,2,5,6,7,8,10,11,12,13,21,23,24],thumb:[0,6,23,24],thursdai:[21,23],tibshirani:[6,19,22,23,24],tick_param:6,ticker:[6,13,20],tif:6,tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,20,23,24],till:[0,4,7,8,9,10,12,18,23,24],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],timefunct:[],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,20,23,24],tmp:13,tmp_log:[],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,23],to_str:[],todai:3,todo:[3,4,14],togeth:[0,3,6,8,11,13,17,23,24],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,20,22,23,24],took:[8,23],tool:[0,1,3,6,13,17,24],toolbox:8,top:[0,3,4,5,6,9,10,14,17,23],top_node_typ:[],top_trac:[],topic:[0,5,6,7,8,17,24],topolog:[1,3,12],toposort:2,torkjellsdatt:[21,23],toss:[10,20],total:[0,1,2,3,4,6,7,8,10,11,12,13,14,15,16,18,20,21,23,24],total_loss:4,totalclustervari:14,totalscatt:14,totalvari:[],toward:[1,2,7,12,13],town:[0,24],tp:[4,7],tpng:9,tpu:[13,17,23],tqdm:6,tr:24,trace:[2,13],trace_stack:[2,13],traceback:[0,2,3,4,6,9,10,13,14,15,23],traceback_util:[],tracer:[2,13],track:[3,13,14,18],tract:[0,24],tractabl:[0,23,24],trade:[5,9],tradeoff:[0,5,23,24],tradit:[0,1,4,6,23],train:[2,3,5,6,8,9,10,11,12,13],train_accuraci:[0,1,3,23],train_dataset:4,train_end:[0,1,24],train_error:6,train_funct:[],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,24],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,23,24],train_test_split_numpi:[0,1,24],trainabl:[],trainable_vari:4,trained_model:[6,24],trainerror:[0,24],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:13,training_gradient_fun:[],training_loss:[],trainingerror:6,trainpredict:4,trainscor:4,trainx:4,trait:[0,23],trajectori:4,tran:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],transit:[6,12],translat:[1,4,6,10,24],transpos:[1,5,11,18,24],travers:[0,5],treat:[0,1,3,6,12,13,20,23,24],tree:[0,1,6,17,23],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:20,treue:7,trevor:22,tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,20,23],triangl:13,triangular:18,trick:[3,4,8,11,13,20],trickier:20,tridiagon:18,trillion:17,trivial:[0,1,5,11,20,23],troubl:[0,8,12,24],truck:3,true_beta:[6,24],true_divid:1,true_fun:6,truli:23,tucker:8,tuesdai:[21,23],tumor:[7,9],tumour:7,tunabl:1,tune:[4,9,13,18,23],tup:[],tupl:[2,13],turn:[0,1,5,6,7,8,9,10,11,12,13,18,20,23,24],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,20],twice:13,twist:11,twister:[],two:[0,1,2,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,23],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,20,24],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,24],u:[0,2,5,6,8,10,11,12,18,23,24],u_:18,u_i:12,u_m:10,ua:[0,23],ubuntu:[0,15,17,23],uci:[0,24],ufunc:2,uio:[21,22],un:14,unari:[18,23],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,23],unbroadcast:2,unbroadcast_f:2,uncent:6,uncertainti:[0,5,23],uncertitud:20,unchang:[1,3],uncorrel:[10,20],undefin:[5,24],under:[0,1,3,4,5,6,10,13,14,15,16,17,23,24],underdetermin:[0,23],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[19,21],underli:[0,1,9,13,20,23],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,23,24],understood:[8,13],undesir:8,undetermin:[5,8],undo:4,unexpect:6,unexpected:20,unfair:[6,24],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,20,23,24],uniform_real_distribut:[],uniformli:[13,20],unifrompdf:20,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,23],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,20,23,24],unitari:[5,6,18,24],unitarili:[18,23],uniti:20,univari:20,univers:[0,1,2,13,15,17,19,21,23,24],unix:1,unknow:[0,18,23],unknown:[0,1,3,4,5,6,8,10,13,16,18,23,24],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,24],unlik:[1,2,3,8,13],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9],unstabl:1,unsupervis:[0,1,4,12,17,23],unsymmetr:[18,23],until:[1,2,4,9,12,13,14],untouch:0,unus:[3,4,14],unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,20,21],updat:[1,2,3,4,10,12,13,14],uploa:23,upload:[17,22],upon:[0,1,6,7,11,18],upper:[0,8,9,16,18,24],uppercas:[18,23],upsampl:4,upscal:4,us:[4,5,6,8,9,10,11,12,14,15,16,18,19,20,22],usa:23,usag:[0,8,17,23,24],usd10000:[0,24],usd:[0,24],use_bia:4,use_multiprocess:[],usecol:[0,23],useless:1,user:[0,1,2,3,4,6,7,8,11,14,15,17,18,23,24],userwarn:[3,4,6,14],usetex:20,usg:6,usr:20,usual:[0,3,4,7,12,13,14,23],ut:5,util:[0,1,3,4,6,7,10,14,23,24],ux:18,v0:20,v1:[3,4,14,20],v2:[3,4,14,20],v8ejbfezkui:[],v:[2,4,5,6,11,13,17,24],v_0:11,va:1,val:13,val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,17,20,23,24],validation_batch_s:[],validation_data:3,validation_freq:[],validation_split:4,validation_step:[],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,23],valuat:9,valueerror:[0,2,23],valy:4,van:[0,23,24],vandenbergh:[8,13],vandermond:[0,23],vanilla:[0,6,11,14,24],vanish:[1,4,13,20],var_x:20,varabl:8,varepsilon:[5,6],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,23],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,18,23,24],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,24],variance_i:[5,11,24],variance_x:[5,11,24],variant:[0,1,6,8,12,13,23,24],variat:[3,4,11,23],varieti:[0,3,12,15,17,23],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,20,24],vartempvec:[],varvec:[],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17],vector_mean:14,ventur:[0,8,15,17,23],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,22,23,24],verifi:[3,11,18,23],versatil:[8,23],versicolor:[8,9],version:[0,3,4,10,13,14,15,17,18,20,23,24],versu:1,vert:[0,1,5,6,7,8,9,11,13,23,24],vert_1:[5,6,24],vert_2:[5,6,11,24],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,20,21,23,24],vidal:11,video:[0,1,12,17,19,21,23],view:[1,3,5,6,12,13,20,22,23],violat:8,virginica:9,viridi:[0,1,2,3,23],virtual:1,viscos:13,viscou:13,visibledeprecationwarn:2,vision:[0,3,23],visual:[0,3,11,12,15,17,23,24],visualis:1,viz:[6,8,20],vjiseqm2lci:[],vjp:[2,13],vjp_0:2,vjp_0_fun:2,vjp_1:2,vjp_1_fun:2,vjp_argnum:2,vjpfun:2,vjpmaker:2,vjpnode:[2,13],vmap:13,vmax:[1,6],vmc:[],vmin:[1,6],voic:3,volum:[0,3,23],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vrtx:[],vs:[0,4,6,24],vspace:[2,13],vstack:[5,11,18,20,23,24],vt:[5,24],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],w_1:[8,18],w_1x_1:8,w_1x_:8,w_2:[8,18],w_2x_2:8,w_2x_:8,w_3:18,w_4:18,w_:[1,12],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:18,w_m:18,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,13,14,18,23,24],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],walk:9,walker:20,wang:[0,23],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,23,24],warn:[0,1,3,4,8,14,23,24],warrant:6,wast:3,watch:17,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24],weak:[9,10,14],weather:[1,12],web:[17,19,21,23,24],webpag:23,websit:[6,18,19,23],wedg:[8,20],wednesdai:[21,23],wee:11,week:[0,5,6,7,19,21],weekli:[17,21,22,23],weight:[0,1,2,3,6,7,9,10,12,13,20,24],weigth:2,welcom:[8,17],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,22,23,24],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,20,23,24],wessel:[0,23,24],westbi:[],westby:[],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],whenev:[13,20],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],wherea:[6,20],wherein:[1,12],whether:[0,3,5,7,9,20,23],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24],whichev:[1,3],while_p:[3,4,14],white:9,who:[0,19,23],whole:[1,3,4,5,9,11,13],whose:[0,6,10,20,24],whow:[11,24],why:[0,1,3,6,13],wide:[0,1,3,6,7,12,15,17,18,23],widehat:6,width:[0,3,8,9,23],wieringen:[0,23,24],win:10,wind:9,wing:[21,23],winther:2,wiothout:[6,24],wiscons:7,wisconsin:10,wisdom:6,wise:[0,1,5,12,13,24],wish:[0,2,5,7,8,11,13,14,18,23,24],with_std:[0,24],wither:6,within:[0,2,3,4,7,9,12,13,14,20,22,23],withinclust:14,without:[0,1,5,6,8,9,11,12,13,23,24],won:[0,23],wonder:8,woodi:23,word:[0,1,3,4,5,6,7,14,20,23,24],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,23,24],worker:[],workshop:23,world:[0,8,23,24],worldwid:[0,23],wors:[0,1,3,4,6,23],worst:9,worth:9,would:[0,1,3,5,6,7,8,9,10,11,12,13,18,20,23,24],wrap:[3,4,6,14,18,23],wrap_toco:[3,4,14],wrap_util:[2,13],wrapper:[0,23],write:[0,1,2,3,5,6,7,8,12,13,15,16,18,23,24],written:[0,2,3,5,11,12,13,16,17,18,20,23,24],wrong:[1,8],wrongli:10,wrote:[5,11,24],wrt:[2,10,13],wth:[10,13],www:[17,18,22,23],wx_1:8,x0:8,x1:[4,8,9,10,13],x1_exampl:8,x1d:8,x2:[8,9,10,13],x2d:[8,11],x2d_train:11,x2dsl:11,x3:8,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23],x_0:[0,5,11,18,23,24],x_1:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_2:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_3:[8,18,20],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,20,23,24],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,20,23,24],x_input:2,x_ix_:[0,23],x_iy_i:8,x_j:[0,2,8,9,12,16,20,24],x_jy_j:8,x_k:[12,14,18,20,24],x_l:20,x_m:[6,12,18,20],x_n:[0,2,3,6,8,11,12,13,18,20,23],x_new:[9,10],x_offset:[6,24],x_output:2,x_p:[3,7,9],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:13,x_test:[0,1,3,5,6,7,9,10,11,23,24],x_test_own:6,x_test_scal:[0,6,7,9,10,11,24],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,23,24],x_train_mean:[6,24],x_train_own:6,x_train_scal:[0,6,7,9,10,11,24],x_val:1,xarrai:[17,23],xavier:1,xbnew:13,xcode:[0,15,17,23],xdclassiffierconfus:10,xdclassiffierroc:10,xeinsum:[3,4,14],xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xk:8,xla:[3,4,13,14,17,23],xla_client:[3,4,14],xla_comput:[3,4,14],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,23],xp:20,xpanda:[0,24],xpd:[5,11,24],xplot:0,xs:9,xscale:[0,24],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,23],xx:[0,18,23],xy:[0,6,8,18,23],xytext:8,xz:[18,23],y1:4,y2:4,y3:4,y:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],y_0:[0,5,11,18,23,24],y_1:[0,5,8,9,11,13,18,23,24],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,18,23,24],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,18],y_4:18,y_:[0,1,5,6,10,11,18,23,24],y_data:[0,1,5,6,23,24],y_data_ful:1,y_decis:8,y_fit:[0,24],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,23,24],y_if_:10,y_ix_:[0,23],y_ix_i:[7,8,13,24],y_iy_jk:8,y_j:[6,8,12],y_k:12,y_m:18,y_model:[0,4,5,6,23,24],y_n:[8,13],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,24],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,24],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,23,24],y_test_onehot:1,y_test_predict:[0,24],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,23,24],y_train_mean:[6,24],y_train_onehot:1,y_train_predict:[0,24],y_train_scal:6,y_val:1,ye:[3,6,7],year:[0,17,23],yet:[0,1,6,8,11,13,23],yhd5w:[],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,20,23],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yoshua:[1,22],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,20,21,22,24],young:[0,23],your:[1,2,4,5,6,8,11,13,17,18],yourself:[11,13,23],youtu:[],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,23,24],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,24],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,24],yridg:23,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,23,24],ytildelasso:5,ytildenp:[0,23,24],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yvqgvcsovpw:[],yx:[18,23],yy:[18,23],yz:[18,23],yzbxji6lgl0:[],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,23,24],z_0:[18,23],z_1:[18,23],z_2:[18,23],z_:[1,2,12,18,23],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,24],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:20,zaxi:6,zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],zeros_lik:4,zeroth:24,zfill:4,zip:[2,4,6,13],zl:[],zm_h:[0,23],zn:[0,24],zone:[0,24],zoom:23,zx:[18,23],zy:[18,23],zz:[18,23]},titles:["3. Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression"],titleterms:{"1":[0,15,16,23,24],"10":[],"11":[],"12":[],"13":[],"14":[],"15":[],"16":[],"17":[],"18":[],"19":[],"2":[0,15,16,23,24],"20":[],"2021":[],"2022":[],"2023":21,"21":[],"22":[],"23":[],"24":[],"25":[],"26":[],"27":[],"28":[],"29":[],"3":[0,15,16,23,24],"30":[],"31":24,"34":[15,23],"35":[16,24],"36":[],"37":[],"38":[],"39":[],"4":[0,24],"40":[],"41":[],"4155":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"6":[],"7":[],"8":[],"9":[],"case":[8,10,20,24],"do":[1,23],"final":[12,24],"function":[0,1,6,7,8,10,11,12,13,20,23,24],"import":[5,18,23,24],"new":4,A:[0,1,4,8,9,23],And:[23,24],In:21,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,23,24],To:[23,24],With:4,about:[23,24],activ:[1,12],actual:[],ad:[0,6,23,24],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:23,aim:[8,9,23],aka:[23,24],algebra:[18,23],algorithm:[9,10,11,12,24],algortithm:13,all:8,an:[0,4,10,23],analys:[5,24],analysi:[0,5,6,11,17,20,23,24],analyt:[0,16],ani:13,anoth:9,appli:17,approach:[0,8,14,23],approxim:12,architectur:1,arrai:[18,23],assist:21,august:24,autocorrel:20,autograd:[2,13],automat:13,back:[1,11,12],background:17,bag:10,base:13,basic:[0,5,7,9,10,11,18,24],batch:1,bay:5,befor:11,better:8,bia:6,binari:1,bind:23,binomi:[],bird:10,block:[],boldsymbol:24,boost:10,bootstrap:[6,10],boston:[0,24],breast:1,brief:23,bring:12,build:[1,3,9],c:23,calcul:24,can:23,cancer:[1,7,9,11],cart:9,center:24,central:[13,17,20],chain:12,chang:10,channel:23,chi:[0,23],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,23,24],collect:[1,3],commun:23,compar:[2,10],complet:24,complex:[0,6,24],complic:6,compon:11,comput:9,computerlab:23,con:9,concept:20,conjug:13,continu:[],contn:23,convex:[8,13],convolut:[3,12],correl:[11,24],cost:[1,10,24],cours:[17,22,23],covari:[5,11,20,24],cover:23,cross:6,cumul:[],cython:23,data:[0,1,3,6,7,9,11,15,16,17,20,23,24],dataset:[1,3],deadlin:23,decai:2,decis:[9,10],decomposit:[5,11,18,24],deep:[1,2],defin:[1,23],definit:[],degre:[0,24],demonstr:[],dens:[0,23],deriv:[5,12,24],descent:[2,10,13],design:24,detail:[3,23],develop:1,deviat:[],diagon:11,dice:[],differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,24],disadvantag:9,discret:20,disguis:[],distribut:[5,20],doe:24,domain:20,down:1,dropout:1,economi:24,element:[0,20,23],elimin:18,energi:23,ensembl:10,entropi:9,environ:[0,15,23],equat:[0,2,12,23,24],error:[0,10,23,24],essenti:23,etc:23,euler:2,evalu:1,event:[],exampl:[0,1,2,3,4,6,7,8,9,10,23,24],exercis:[0,6,15,16,23,24],expect:20,experi:20,explor:[0,15,16,23],exponenti:2,express:[23,24],extrapol:4,extrem:[10,23],ey:10,fall:21,famili:[1,23,24],famou:18,fantast:24,featur:[9,18,24],feed:[1,12],fine:1,first:[4,12,23,24],fit:[0,10,23],fix:24,forc:3,forest:10,format:23,forward:[1,2,12],fourier:3,frank:[6,24],freedom:[0,24],frequent:24,frequentist:[0,23],from:[5,10,12,24],full:2,further:[3,5,24],fy:[],gan:4,gaussian:18,gd:13,gener:[4,9,23],geometr:11,gini:9,good:[0,23],grade:[21,23],gradient:[1,2,10,13],growth:2,ha:17,handl:[18,23,24],have:23,heard:23,hessian:24,hidden:2,hous:[0,24],how:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ii:23,implement:1,implic:[5,24],improv:1,includ:13,increment:11,index:9,inform:21,input:2,instal:[17,23],instructor:21,intercept:24,interpret:[5,11,23,24],introduc:[11,13,24],introduct:[0,6,17,18,23],invers:[5,18],invert:24,iter:10,its:24,jackknif:[],jacobian:24,jax:13,julia:23,jungl:10,kera:[1,3],kernel:[8,11],lagrangian:8,lasso:[5,6,24],last:24,later:[5,24],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,17,23,24],least:[5,6,23,24],lectur:[23,24],level:10,librari:[17,23],likelihood:7,limit:[1,13,20],linear:[0,8,13,18,23,24],link:[5,11,19,22,24],logist:[7,23],loss:24,lu:18,machin:[0,8,13,17,23],mai:23,main:20,make:[0,9,10,15,16,23,24],mani:[10,12],manipul:24,mass:23,materi:[19,23,24],math:[5,24],mathemat:[3,5,8,24],matric:[5,18,23],matrix:[1,5,11,12,18,23,24],matter:[0,23],max:24,mean:[0,23,24],meet:[5,10,20,23,24],mercer:8,mersenn:[],method:[6,9,10,13],min:24,minim:23,ml:23,mlp:12,mnist:[3,4],model:[0,1,4,6,12,23],moment:[],momentum:13,moon:[8,9],more:[3,6,18,23,24],multilay:12,multipl:[1,3],multipli:8,name:[],need:23,network:[1,2,3,4,7,12,23],neural:[1,2,3,4,7,12,23],non:8,normal:[0,1],norwai:[],notat:12,note:24,novemb:[],now:[1,9,13],nuclear:[0,23],nueral:[],numba:23,number:[0,2,20,24],numer:[2,20],numpi:[18,23],object:3,observ:[],obtain:11,octob:[],od:2,off:6,ol:[5,6],one:[2,12],oper:18,optim:[1,8,13,17,23,24],order:13,ordinari:[5,6,23,24],organ:[0,23],oslo:22,other:[4,9,11,12,18,23,24],our:[0,4,5,11,13,23,24],outcom:[17,23],output:2,overarch:[0,4,8,9,23,24],overview:[10,23],own:[0,10,11,15,16,23,24],packag:[18,23],panda:[23,24],paramet:[23,24],part:[13,17,24],partial:2,pass:1,pca:11,pdf:20,perceptron:12,perform:[1,9],period:3,perspect:1,plan:24,point:4,poisson:2,polynomi:3,popul:2,practic:[13,21,23],pre:[1,3],predict:4,preprocess:24,prerequisit:[3,17,23],princip:11,principl:3,pro:9,probabl:[5,20],problem:[1,2,13,23,24],procedur:[9,23],process:[1,3],program:[2,13],project:[6,23],prop:13,propag:[1,12],properti:[5,20,24],pseudo:[],python:[0,9,15,17,18,23],quick:8,r:23,ran0:[],random:[10,11,20],read:[9,23,24],real:[6,23],recip:[],recommend:[23,24],recurr:[4,12],reduc:[0,24],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,23,24],regular:1,relat:24,relev:[22,24],relu:1,remark:3,remind:[6,8,23],repeat:24,replac:13,requir:[2,17],resampl:6,rescal:6,residu:24,resourc:2,result:24,revisit:13,rewrit:[23,24],ridg:[0,5,6,24],rm:13,rng:[],rule:12,s:[8,10],same:13,sampl:11,scale:24,schedul:[19,23],schemat:9,scheme:2,scienc:23,scikit:[0,1,11,15,16,23,24],second:13,select:[],semest:21,septemb:[],set:[0,2,3,9,12,15,23,24],sgd:13,should:1,similar:13,simpl:[0,4,9,13,23,24],singl:10,singular:[5,11,24],situat:[],size:24,soft:8,softmax:1,softwar:23,solv:2,solver:13,some:[13,18,23,24],specifi:2,split:[0,15,16,23,24],squar:[0,5,6,10,23,24],standard:[13,24],state:[0,23],statement:23,statist:[5,6,17,20,23],steepest:[10,13],still:24,stk3155:[],stochast:[13,20],strongli:23,subtract:24,suggest:23,summari:[21,23],superposit:3,supervis:1,support:8,svd:[5,24],systemat:3,t:24,teach:[19,21],teacher:[21,23],techniqu:[6,11],technolog:17,tensorflow:[1,3],tent:23,test:[0,1,15,16,23,24],textbook:[22,23],thei:23,theorem:[5,8,11,12,20],theori:20,thi:23,think:24,three:[],thursdai:24,tip:13,togeth:12,tool:23,top:1,topic:23,toss:[],toward:11,trade:6,tradeoff:6,train:[0,1,4,15,16,23,24],transform:3,tree:[9,10],tune:1,two:[3,8,17,24],type:[2,4,12,23],uio:23,uncorrel:[],uniform:[],univers:[12,22],unsupervis:14,up:[0,2,9,12,15,23,24],us:[0,1,2,3,7,13,17,23,24],valid:6,valu:[5,11,20,24],variabl:20,varianc:6,variou:[0,15,23],vector:[8,12,18,23,24],view:[0,4,10,24],visual:[1,9],vs:3,wai:9,wave:2,we:23,week:[15,16,23,24],weekli:19,what:[0,23,24],which:1,why:[23,24],wisconsin:7,wrap:24,write:[4,11],x:24,xgboost:10,you:23,your:[0,10,15,16,23,24]}}) \ No newline at end of file +Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","intro","linalg","schedule","statistics","teachers","textbooks","week34","week35"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","intro.md","linalg.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],"00":[0,1,5,6,9,11,20,23,24],"000":[1,3],"0000":9,"00000":9,"000000":[5,11,23,24],"00000000e":[5,24],"000054":23,"0000e":[],"0001":1,"00010403373827253124":[],"000148":[],"00017471":[],"00018425":[],"00019998":5,"00024087":5,"00025531":[],"00028369228101198006":[],"00029012":5,"0003043256065368937":[],"0003153514830957865":6,"00031535148309580783":6,"0003153514830958081":[],"0003153514830958126":[],"0003153514830958235":[],"00034944":5,"000417932":2,"00042089":5,"000464088":2,"00046714":[],"00050694":5,"00054144":[],"00054272":[],"00057106":[],"00058016":6,"000599":[],"00060705":6,"00060708":[],"00061058":5,"00062582":[],"00062595":6,"00066668":6,"00068734":6,"00068941":[],"00068946":6,"00069103":[],"00073541":5,"00074389":[],"00075315":[],"000755":[],"00075534":[],"00076495":6,"00076905":6,"00076919":[],"00076925":[],"0007698473260556325":6,"0007698473260556334":[],"0007698473260556339":[],"0007698473260556344":6,"0007790285013223805":9,"00079123":[],"00079129":6,"00079130":[],"00079968":5,"00084705":6,"00084711":[],"000854409696581":20,"00085883":[],"00085884":[],"00085889":6,"00087697":6,"00088573":5,"00089459":[],"00092645":[],"00092646":[],"00092647":6,"00096314":5,"001":[1,2,8,13],"00100519":6,"0010479245355337968":[],"0010479245887943952":[],"0010479245926411787":6,"00105081":6,"00106677":5,"00107405":6,"00111756":6,"00112431":[],"0011526":6,"00115999":5,"0011828302640124":[],"00118368":[],"00118504":[],"00118508":6,"00118527":[],"001263":[],"00128479":5,"00128634":[],"00131939":[],"001323":6,"00137818":6,"00137823":[],"00137835":[],"00139198":[],"00139705":5,"00145838":[],"00147197":[],"00149311":6,"00149956":6,"00152117":6,"00152188":[],"00154733":5,"00156376":6,"00156379":[],"00156382":[],"00158723":[],"00162091":18,"00168141":[],"00168251":5,"00174276":6,"00174508":[],"00175331":6,"00186347":5,"001880":5,"00191249":[],"001988":[],"00198806":[],"00200":8,"00201915":[],"00202464":[],"00202624":5,"00202756":6,"00207627":[],"00217499":6,"0021877":[],"00220229":[],"00224413":5,"00228741":[],"00228742":6,"00233155":[],"00233441":[],"0023548":6,"002381316302584885":[],"002381316302584886":6,"0023813163025848865":6,"00242999":6,"00243186":6,"0024401":5,"00249435":6,"0025074":[],"0025125":[],"00252344":[],"002526":[],"00266858":2,"00267599":[],"00270244":5,"00274989":6,"00275135":[],"00287154":[],"00289724":6,"00293838":5,"002948":[],"0030828":[],"003083":[],"003100":23,"00310113":2,"00312361":6,"00315593":6,"003215318065760509":[],"0032153180657605116":6,"0032153180657605125":[],"00323332":6,"0032542":5,"003301":6,"0033955154592040923":6,"003395515459204093":[],"0033955154592040944":[],"00353823":5,"0035417":[],"00355118":[],"00355175":[],"003620":23,"0036237":6,"0036367":6,"00369758":6,"003704":[],"003717":[],"00373019":[],"003738":[],"003759":[],"003774":[],"003788":[],"0038335":6,"00388494":[],"00390021":[],"003909404072811217":[],"003909404072811221":6,"003909404072811231":[],"00391839":5,"00393128":[],"00397836":[],"0039987":6,"004":5,"00403785":[],"00406231":[],"00407056":[],"004091940707753925":6,"004091940707753948":[],"0040919407077539514":[],"00410387":6,"00410478":6,"004113634617443116":[],"0041136346174431284":[],"004113634617443131":[6,24],"004113634617443135":[],"004113634617443139":[6,24],"00411363461744314":[6,24],"004113634617443141":[],"004113634617443147":[6,24],"00415473":[],"0041559863458613296":6,"004155986345861364":[],"004155986345861374":[],"00415763":[],"00416461":[],"00424909":2,"00424967":6,"00426027":5,"00427039":[],"00431511":[],"00432302":[],"00433417":11,"00437363":[],"00440346":6,"00443743":6,"00444561":[],"00445655":11,"00449439":[],"00452742":[],"004579219539673834":6,"004579219539673836":[],"00458014":18,"00458671":[],"00458878":6,"004610275230656182":6,"004610275230656187":[],"004610275230656294":[],"00462287":6,"00465403":[],"00471782":5,"00472199":6,"00472512":6,"0049544":6,"004999999999999984":[],"00499999999999999":[],"004999999999999994":[],"004999999999999996":0,"005":[],"0050000000000000044":[],"005000000000000011":[],"00506501":[],"00512927":5,"00517114":6,"00523269":[],"00526348":6,"0053018":6,"00537912e":20,"00546438":[],"00548686":[],"0055043":[],"00554552":6,"00556826":6,"0056799":5,"00569317":[],"00577441":[],"00578738":[],"00578776":[],"00579953":6,"00588657":6,"00607783":6,"006158537606875468":[],"006162":6,"00617499":5,"00625843":[],"006275173922218319":[],"00630331":6,"00642221":6,"00645183":[],"00660427":6,"00661104":[],"0066916":[],"00672607":6,"00673393":[],"00673407":6,"00676387":6,"0068011":6,"0068094":[],"00681644":[],"00683748":5,"00683964":6,"00689391":[],"00695357":[],"007012403613997257":[],"007024126888936694":[],"007024126888938144":6,"0070241268889382116":[],"00704468":[],"00706459":[],"00708794":[],"00715835":[],"00719176":6,"0072559952738542694":24,"00727646693":[0,23],"007315":[23,24],"00732273":[],"007334080205654388":[],"00733497":[],"00740173378493795":[],"0074331":5,"00751823":[],"00754532":[],"00758025":[],"00759119":6,"00770648":[],"00779538":[],"00779804":[],"00780259":[],"00781035":[],"007839875253055148":[],"00784393":6,"00791291":[],"00801078":[],"00803064":6,"00808144":[],"0080866254785146":[],"008089688732934681":24,"00813803":6,"00817056":[],"00817631":6,"00820764":[],"00823002":5,"00827728":6,"008278885543361304":[],"00831018":6,"00834567":6,"00839839":[],"008435888964550838":[],"0084603":[],"00848904":6,"00851638e":24,"008550594684081035":24,"0086649156":[0,23],"008675369724975977":5,"008675369724976501":[],"00867698":[],"00868337":[],"00877989":[],"008818897251043893":[],"00882596":13,"00894639":5,"008947823579448178":5,"00905423":6,"00911938":[],"009163470508352211":[],"009163470508352218":5,"009164545680330616":6,"00917248":6,"00934327e":24,"00934499":6,"00934728":[],"00943261":[],"009450756365829578":[],"00950269957492606":[],"0096208":6,"00965032":[],"0097018":[],"00990475":5,"00992331":6,"00996754":6,"009981":[],"00998135":[],"00it":6,"01":[0,1,2,5,6,9,11,13,20,22,23,24],"010018312644139205":[],"010018312644139219":6,"010018312644139347":[],"01006893":[],"0100706":6,"010154":[],"01023891":[],"010239":[],"01029589":[],"010331721306655144":[],"01033172130665515":[],"010331721306655165":6,"01037947":[],"010516485576646504":6,"010516485576646513":[],"010516485576652856":[],"010530":[],"01053024":[],"01056549":[],"01066519":6,"01073921":[],"010751622516868333":[],"01076611":5,"010902":23,"0110":20,"0110407067093945":[],"01104071":[],"011076219011339788":[],"01107621901137465":[],"01107621901137467":6,"011225":2,"0113104":6,"01133171":[],"01135107":[],"0113975":[],"01152107":[],"01176895":[],"01179792":6,"01191824":5,"01199624e":[],"01200342":[],"01206708":[],"012073649439965807":[],"012073649469946107":6,"012073649472576395":[],"01207435":[],"01212754811385597":[],"01219292":6,"01222822":24,"01223198":6,"01231917":6,"0123679":[],"01242273":[],"01242803":[],"01244295e":20,"01247056":13,"01248731":[],"01256189":[],"01257962":[],"012580":[],"012633802944855959":[],"01265755":24,"012658":24,"01285424":[],"01290947":6,"01295356":5,"013121573975499602":[],"013121573975499604":[],"01312157406137079":[],"013121574061370796":[],"013121574062587286":6,"01318643":6,"01323884":[],"01326608":[],"01347916":6,"01348565":6,"013537225644261203":[],"0136671":[],"01367553":6,"01381723":[],"01397146":6,"01405935":6,"01406736":[],"01416528":6,"014209325470380275":[],"01422494":[],"01422853":18,"01433809":5,"014436800088896274":[],"014436800088896381":6,"014436800088969727":[],"01449782":6,"01458337":6,"014586":24,"01458611":24,"014599964106338128":[],"0146081":6,"01463049":6,"01471878":[],"01479194":[],"01494533":[],"01497781":[],"015072388895177088":[],"0150723888951771":6,"015072388895177109":[],"015072388895177157":6,"015072388895177239":[],"01509543":[],"01510929":13,"01530715721129232":[],"01531845":6,"01538461538462":[],"01539":[],"01542944":[],"01549377":6,"01550656":[],"01551946":[],"01558197":5,"01558461":[],"0156548":[],"01572164":[],"01574091":[],"01574375":[],"01586048":[],"01588614":[],"01588619":[],"01591355407242949":[],"01614046":[],"01619802":[],"016285782696017055":[],"016285782696017142":6,"016285782696075054":[],"01631138":[],"01633913":6,"01640891":6,"0164286":[],"01646892":23,"01654471":[],"01655318":6,"0165866":[],"016587414993037307":[],"016587414993045335":6,"016587414993045405":[],"01678286":[],"01691985":6,"01693":[],"01693278":[],"0169643":5,"01708781":6,"01708852":6,"01713366":6,"0171347":[],"01724499":5,"01725808":[],"01735584819559184":[],"017355848195591845":[],"01735584819559331":6,"017355848195593312":6,"017355848195593354":[],"01742183":[],"01751529":[],"01756972":[],"01761413":[],"017665":5,"01770163":[],"01783414e":24,"01788423":[],"01799917e":[],"01816821":[],"01817152":[],"01817919":[],"018232":[23,24],"01831036e":[],"01831130e":[],"01831200e":[],"01831207e":6,"01831251e":6,"0183718":[],"01840062":[],"01844381":[],"01852793":[],"01866537":6,"01869785e":[],"01871582":[],"01873344":11,"01873869":5,"01885351":[],"0189082":[],"01898855":6,"01905883":6,"01907538":[],"01908936":6,"01923991":[],"0193453":[],"01943082":[],"01944669":[],"01957153":[],"019587":[],"01960258":[],"01963611":6,"01969145":6,"01975416527168255":6,"019754165271682844":[],"01975416527179247":[],"01975848":6,"01990155":[],"02":[0,4,6,7,12,20,23,24],"02008059":[],"0202458":[],"020246":[],"02024962":6,"0202731":[],"02035804":[],"02054837e":6,"02058701":[],"02068067":6,"02073509":5,"02082761":[],"02086933":[],"02090061":[],"0209518407597062":[],"02098261":6,"0211496":[],"02123176":6,"021250026482402":[],"02129803":[],"0214539":[],"02158709":13,"02159270458799264":[],"021592704587992645":[],"021592704588021164":[],"021592704588021167":[],"021592704588021174":6,"021592704588021178":6,"02160095e":24,"02166269":[],"02195273":[],"02198702e":6,"02198703e":6,"02200044":[],"022022882954618364":[],"02206138":[],"022075":[],"02207532":[],"02208512":6,"02212776":[],"02212893":[],"02226654":[],"02228115":6,"02229529":6,"02252765":5,"022556":[],"02255619":[],"02263868":[],"02298589":[],"02299949826036602":[],"022999498260366198":6,"0229994982603662":[],"02335522":[],"02344111":[],"0234505":[],"02348765":6,"02354476":[],"023545":[],"02365049":6,"02376036":[],"02377668":18,"02383034":[],"02401344":[],"024023115996453476":[],"02408959":[],"02421521":[],"02422503":[],"02442398":[],"0245528":6,"02492265":5,"02493054":[],"02498832":6,"02503753":6,"02511518":6,"02521597":[],"02522069":6,"02539993":[],"02541796":[],"02551463":[],"02566258":[],"025709":[11,24],"02586427":6,"02596838":[],"0260906":6,"02612167":[],"02625193":8,"02625928":[],"026408391362671896":[],"02642055e":[],"02649453":[],"026605727637176654":[],"026605727637184554":6,"026605727637184558":6,"02660572763718461":[],"026605727637184613":[],"02697521163514974":[],"026986":[],"02698605":[],"02699523":18,"02701924":[],"02707227":5,"02708158":[],"02712723":[],"02723445":6,"02724253":[],"02747522":[],"027609773491022314":[],"02760977349102238":6,"027609773491022387":[],"027609773491022394":6,"027609773491022407":[],"02762405215108776":[],"02766489e":20,"02766981":[],"02783644":23,"02786488":[],"027865":[],"02803041":[],"02808201":[],"02818883":[],"02840224":[],"02857":4,"02862254":[],"02868501":[],"02900131":[],"02917662":[],"029177":[],"02917931":[],"02926396":[],"02928941":[],"029483":5,"02951554e":24,"029613363972682966":[],"02970592":[],"02971158":[],"029733":[23,24],"02976145":6,"02979908":[],"02994311":5,"02f":6,"02it":[],"03":[1,6,24],"03026672":[],"03032441e":6,"030407120354722424":[],"03056589":[],"030566":[],"030693":[],"03069324":[],"03071040e":[],"03076923076924":[],"03077640549":4,"03078597":[],"03079528":[],"03080664":[],"03099776":5,"031":5,"03168642":[],"0317159":[],"031846":[],"03184647":[],"03187054":[],"03187339273559067":[],"03196357":6,"032":6,"03206303":[],"03232013":[],"03232719":[],"03235599":[],"03251863":5,"03255258":[],"03256632e":1,"03265139":23,"03267527":6,"03278964":[],"032790":[],"03279636":6,"033":6,"0330308045180234":[],"0330308045183163":[],"0330308045183219":6,"0330308045188872":6,"0330308045190182":[],"03308408":5,"03324117":[],"03326365":[],"033264":[],"03352725":[],"033657685071527485":[],"033657685071527624":[],"03365768507152769":6,"03371334":[],"03382304823545749":[],"034047":23,"03423556":[],"03437582":[],"03447512":6,"034557":24,"0348171":[],"03483677":23,"03500198":[],"03509912":[],"03510756":[],"03523311":[],"03533092":[],"03536673":[],"03562355":6,"03568439":6,"03570747":[],"03583342":[],"0358909447132981":[],"035909":23,"0359565":5,"03610331":[],"03630548":6,"03634298":[],"03707133":11,"03724642":[],"03739357":[],"03739417":[],"037559":[],"03755944":[],"03761519":[],"03781367141738885":[],"03781367141738886":[],"037813671417388985":[],"03781367141738899":[],"03781367141738902":6,"03791967":[],"03794112":[],"03807267":[],"038073":[],"03814292":6,"03815288":6,"038300":[11,24],"03850557":[],"038506":[],"03893106":[],"039039":5,"03932541e":24,"03981057":[],"03995478":[],"0399676689527966":6,"0399676689527968":[],"0399676689527975":6,"04":[1,6,11,24],"040102":5,"04010697":6,"04028979":[],"04046799":[],"04063602":6,"04075841e":24,"040863":11,"04086326":11,"04087592":[],"041":9,"04100738":[],"04101587":[],"041148729430502":[],"041148729430523":6,"0411487294305246":[],"0411487294305746":[],"041148729430595":6,"04120281":[],"04179719":[],"041797190646905":[],"04193203":24,"04208001":[],"04220758":6,"04234339":18,"042708":[],"04279651270127165":[],"04284519":[],"043":9,"04315108":5,"04331431":[],"0433816":[],"04346721":5,"04355837":6,"04362":9,"04368707":[],"0437499":2,"04389027":6,"043927769551648":[],"04413933503955871":[],"04419696":[],"04423486":6,"04426744e":24,"04426816":[],"044334":[23,24],"0443659":[],"0444119":[],"044613":6,"04483457":[],"04495095":[],"04496448":[],"04516608":[],"04537385":6,"04543942":6,"04554454":[],"045603":[],"04566964":6,"04573057":[],"04573105":[],"0458":9,"0459682":[],"04615384615386":[],"04621521":[],"04637311":[],"04648335":5,"046491":[],"04649105":[],"0466":[],"04670006":[],"04673082":[],"046731":[],"046785461905835435":[],"04678736":[],"04683565":5,"04735806":[],"047737":[],"04775904":[],"04784395":6,"04785727":[],"04787099":[],"047953":[],"04818727730430286":6,"04818727730430296":[],"048187277304303056":[],"048547423739546604":20,"048653428302840175":[],"048762":[],"048818":[],"048920":23,"04892055":6,"04909093":6,"04912436":6,"04930820e":[],"049318":[],"049462":23,"0495569966278238":[],"0495569966278269":6,"0495569966278295":6,"0495569966278315":[],"04965397e":20,"049747":[],"049858":[],"0499586":[],"049960":[],"04996008":[],"04it":[],"05":[1,4,6,13,24],"05004617":[],"05009826":6,"05087958":[],"050910":[],"05100875":6,"051043":[],"051391":[],"051418":5,"051451":[],"05150928":[],"051649":[11,24],"051662":[],"0517473":5,"052206":[],"052227":[],"05227921801205679":6,"05227921801205691":[],"05227921801205692":[],"052279218012057004":[],"052305":24,"052330":[],"052372":[],"0525221":18,"05255759":[],"052581":[],"05263":9,"05268304":[],"0527437":13,"05290417684691035":[],"05302":9,"053417":24,"0536097":[],"05363779":18,"05364854":8,"05367466":[],"053678":[],"05383795":6,"053849":5,"05402365":[],"054182":[],"054244842835462305":20,"054305":[],"054335":[],"054340":[],"05434571":[],"054411":[],"05447415":6,"054491":[],"054582":[],"054585":[],"054617":24,"054650":[],"054655":24,"054774":[],"054785":[],"05483267":[],"05491655":[],"054963":[],"05505310046362":[],"05505310046363":2,"055137":[],"055153":[],"055302":[],"055320":[],"05533":9,"055337":[],"055344":[],"055369":[],"055676":[23,24],"055684":[],"055734":24,"055859":[],"05587489":11,"055875":11,"055910":24,"055958":[],"055987":24,"056127":[],"056131":[],"05614483":5,"056165":[],"056169":[],"05622775":[],"05623":9,"056233":[],"056235":[],"05635863":18,"056468":[],"05648":9,"05651951":6,"056528":[],"05667":9,"056683":24,"05698425":[],"057088709963182":[],"057163681553428394":[],"05716368155342902":6,"05716368155351588":[],"0572":[],"057300":24,"057393":24,"057418":24,"057457":24,"057469":[],"05756733":[],"057587":[],"057588":[],"057648":[],"057686":[],"057722":24,"057835":24,"05785343":6,"057877":[],"05789007":6,"057899":[],"05796251":6,"058033":[],"058035":[],"058038":[],"058040":[],"058058":[],"05807125":6,"058088":[],"05833369":[],"058343":[],"05834332":[],"058416":[],"05850532":[],"058552":24,"05855607":[],"058585":[],"058596":[],"058645":24,"058663":[],"058715":[],"058732":[],"058740":[],"058816":[],"05883":9,"05884":9,"058854":24,"058890":[],"05892262":[],"058948":[],"058952":24,"058955":[],"058957":[],"058974":[],"058996":24,"059013":[],"059031":24,"059180":[],"059272":[],"059278":[],"059294":[],"059378":[],"059437":[],"059601":[],"059783":[],"059795":[],"059807":24,"059824":[],"059933":[],"059951":24,"059952":[],"05999":9,"059993":24,"06":[6,24],"060016":[],"060048":[],"060080":[],"060083":24,"06008452":[],"060146":[],"060183":[],"06020587":6,"06021285":[],"060213":[],"060228":[],"060254":24,"060288":[],"060309":[],"06031681":[],"060349":23,"06038053":[],"06043581":6,"060502":[],"060507":[],"060550":[],"060649":[],"060655":[],"060716":24,"060756":24,"060781":[],"060841":[],"060863":[],"060872":24,"060875":[],"060963":[],"061025":[],"061028":[],"061048":[],"061054":[],"061133":[],"061144":[],"061149":[],"061163":24,"061188":[],"061209":[],"06121384":[],"061272":[],"061297":[],"061308":[],"061321":[],"061359":24,"06136773":23,"061390":[],"061443":24,"061452":24,"06150169":[],"061502":[],"061505":[],"061509":[],"061538":[],"061604":[],"06160438":[],"061614":24,"061646":[],"061679":23,"061685":[],"06168748":[],"061701":[],"061716":[],"061725":[],"061745":[],"061765":[],"061821":[],"061898":[],"061917":[],"061923":[],"061966":[],"06200174":5,"062016":24,"062061":[],"062062":[],"062064":[],"06208238634231944":[],"062082386342319454":6,"06208238634231953":[],"062089":[],"062097":[],"062136":[],"062142":[],"062195":[],"062220":[],"062292565":4,"062294":[],"062305":[],"062333":[],"062337":24,"062370":[],"062391":[],"062409":[],"062411":[],"062435":[],"062451":[],"062498":[],"062517":[],"062534":[],"062551":[],"062563":[],"062599":24,"0626202708457115":18,"062624":24,"062640":[],"062665":[],"062676":[],"062706":[],"062719":[],"062773":[],"062777":[],"062827":[],"062834":[],"062874":24,"06287717":[],"062881":[],"062884":[],"062888":[],"062920":5,"06292011":5,"062983":[],"063014":[],"063019":24,"063024":[],"063052":[],"063061":24,"063078":[],"063080":24,"063084":[],"063125":[],"063173":[],"063192":[],"06319374":[],"063241":[],"063250":[],"063260":24,"063287":[],"063343":[],"063364":[],"063371":[],"063375":[],"063401":[],"063443":23,"063493":[],"063513":[],"063524":[],"063612":[],"063619":[],"063631":[],"063653":24,"063657":[],"063724":23,"063752":[],"063781":[],"063851":[],"063857":[],"063872":[],"063874":[],"06388888888888888":[],"063894":24,"063977":[],"063979":[],"064041":[],"064052":[],"064062":[],"064074":24,"064081":[],"064108":[],"064110":[],"064184":[],"064274":[],"064284":[],"06432223":[],"064329":[],"064384":[],"064388":[],"064431":[],"06444":9,"064442":[],"064459":[],"064461":[],"064469":[],"064483":[],"064501":24,"06453579006728315":[],"06453579006728322":6,"064538":[],"064573":[],"064604":[],"064606":24,"064609":24,"064618":[],"064623":[],"064634":[],"064637":[],"064648":[],"064658":[],"064681":[],"064684":[],"064699":24,"064753":[],"064787":[],"064793":24,"064823":[],"064838":[],"064859":[],"06486061":23,"064880":[],"064896":[],"06491736":6,"064918":[],"064931":[],"064937":[],"064964":[],"06497046":[],"064974":[],"065020":[],"065026":23,"065032":[],"065077":24,"065095":[],"065106":[],"065110":[],"065118":[],"065165":[],"065168":[],"065183":[],"065228":[],"065249":[],"065252":[],"065282":[],"065314":[],"065348":[],"065349":[],"065378":24,"06538944":23,"065390":24,"065410":24,"06547790180152352":6,"06547790180152353":[],"06547790180152355":6,"06547790180152357":[],"06547790180152363":[],"065514":[],"065537":[],"065557":[],"065575":[],"065641":[],"065657":[],"065680":[],"065730":[],"065761":[],"065796":[],"065826":[],"065846":[],"065869":[],"065892":[],"065942":[],"065973":[],"065974":[],"065983":[],"06602663":[],"066051":[],"066056":[],"066064":[],"066066":24,"066093":[],"066110":[],"066189":[],"066194":[],"066220":[],"066223":[],"066228":[],"066241":[],"066270":[],"066284":[],"066309":[],"066340":[],"066348":[],"066356":[],"06637":9,"066388":[],"066449":[],"066474":24,"066500":24,"066528":[],"066553":[],"066558":[],"066569":[],"066580":[],"066590":[],"066609":[],"066612":24,"06662062":[],"066647":24,"066651":[],"066654":[],"066670":[],"066675":[],"0666807":2,"066714":[],"066729":[],"066741":[],"066753":[],"066787":24,"066789":[],"066808":[],"066828":[],"066837":[11,24],"066850":[],"066854":24,"066870":[],"066873":[],"066919":[],"066934":[],"06695337":[],"066954":[],"066999":24,"067011":[],"067079":[],"067110":[],"067141":[],"067162":[],"067191":[],"067213":[],"067236":[],"067240":[],"06724062":5,"067282":[],"067392":[],"067402":[],"067432":[],"067437":[],"067443":[],"067449":[],"067484":[],"067499":[],"067506":[],"067525":[],"067527":[],"067544":[],"067547":[],"067560":[],"067585":[],"067597":[],"067599":[],"067612":[],"067615":[],"067620":[],"067622":[],"067637":24,"067675":[],"067693":[],"067707":24,"067709":[],"067710":[],"067712":[],"067714":[],"067719":[],"067720":[],"067723":[],"067767":[],"067769":[],"067775":[],"067787":[],"067854":[],"067856":[],"067864":[],"06786925114666595":[],"067907":[],"067908":[],"067934":[],"067956":[],"068019":[],"068059":[],"068075":[],"068087":[],"068093":[],"068094":[],"068098":[],"068103":[],"068104":[],"068110":[],"068120":[],"068136":[],"068197":[],"068210":[],"068261":[],"068264":24,"068307":24,"068318":[],"068345":[],"068358":[],"068363":[],"068376":[],"068391":[],"068417":[],"068441":24,"06844519414009438":[],"06844519414009442":[],"06844519414009444":6,"06844519414009445":6,"068461":[],"068500":[],"068505":[],"068525":[],"068538":[],"068541":[],"068573":[],"06858699":[],"068593":[],"068608":[],"068619":[],"068629":24,"068642":[],"068654":[],"068659":[],"068664":[],"068689":[],"068724":[],"068727":24,"068735":[],"068776":[],"068799":[],"068806":[],"068809":[],"068831":[],"068841":[],"068852":[],"068867":[],"068906":24,"068920":[],"068937":[],"068953":[],"068965":[],"068991":[],"068992":[],"068999":[],"069010":[],"069015":[],"069028":24,"069036":[],"069044":[],"069065":[],"069085":[],"069091":[],"069181":[],"069187":[],"069202":[],"069231":[],"069242":[],"069268":[],"069275":[],"069276":[],"069281":[],"069285":[],"069355":[],"069386":[],"069408":[],"069409":[],"069421":[],"06942103":[],"069436":[],"069441":[],"069452":24,"069454":[],"069455":[],"069465":[],"069475":[],"069476":[],"069494":[],"069506":[],"069534":[],"069578":[],"069584":[23,24],"069626":[],"069640":[],"069651":[],"069654":[],"069667":[],"069672":[],"069681":[],"069685":[],"06969872":[],"069748":[],"069754":[],"069796":[],"069801":[],"069838":[],"069847":[],"069877":[],"069884":[],"069888":[],"069903":[],"069907":[],"069912":[],"069977":[],"06it":6,"07":[6,24],"070018":[],"070028":[],"070034":[],"070043":[23,24],"070056":[],"070071":[],"070074":[],"070105":[],"070146":24,"070150":[],"07016":9,"070163":[],"07017":9,"07019610e":20,"070213":24,"070216":[],"070222":[],"070276":[],"070288":[],"070333":[],"070339":[],"070343":[],"070370":[],"070379":[],"07039":9,"070419":[],"070428":[],"070429":[],"070443":[],"070450":[],"070453":[],"070457":24,"070466":[],"070491":[],"070492":[],"070494":[],"070518":[],"070562":5,"070576":[],"070582":24,"070585":[],"070612":[],"070618":[],"07062318":6,"070630":[],"070635":[],"070737":24,"070775":[],"070794":5,"070810":[],"070835":[],"070860":[],"070871":[],"070874":[],"070887":[],"070889":[11,24],"070911":[],"07093644":[],"070945":[],"070950":[],"070959":[],"070961":[],"070972":[],"070986":24,"07099747918547346":[],"071003":[],"071009":[],"071022":[],"071044":[],"071051":5,"071071":5,"071084":5,"071086":[],"071106":[],"071112":[],"071115":[],"071120":[],"071136":[],"07115":9,"071164":5,"071239":[],"071243":[],"071284":5,"07128434":20,"07129539":[],"0712953943627344":[],"0713":[0,23],"071326":[],"071329":[],"071387":[],"071388":[],"071392":5,"071394":[],"071421":[],"071438":5,"07143876":[],"071441":[],"071445":[],"07145103":11,"071460":[],"071467":[],"071476":[],"071480":[],"0714956":[],"071505":[],"071510":[],"071515":[],"071523":[],"071529":[],"071547":[],"071552":[],"071569":[],"071585":[],"07160048164232467":[],"07160048164232538":6,"0716004816423254":6,"07160048164248561":[],"071604":[],"071614":[],"071632":[],"071641":[],"071666":[],"071698":[],"071705":[],"071741":[],"071751":5,"071767":[],"071804":[],"071836":[],"071852":[],"071897":[],"071901":[],"071906":[],"071908":[],"071920625289855":[],"071921":[],"071922":[],"071935":[],"071942":5,"071946":[],"071949":[],"07195822":23,"071991":[],"072000":24,"072008":[],"072011":[],"07201957":[],"072021":[],"072041":[],"072084":[],"072091":[],"072111":24,"07212695":[],"072127":[],"072132":24,"072145":[],"072147":[],"072150":[],"072184":[],"072198":[],"072216":[],"072222":[],"072240":[],"072242":[],"072290":[],"072342":[],"072348":[],"072352":[],"072361":[],"072364":[],"072370":[],"072435":[],"072442":[],"072452":[],"072471":[],"072476":24,"072483":[],"072492":[],"072521":[],"072523":[],"072529":[],"072530":[],"072554":[],"072558":[],"072569":[],"072575":[],"072597":[],"072598":[],"072611":[],"072617":[],"072618":5,"072620":[],"072621":24,"07264063e":20,"072647":[],"072651":[],"072652":[],"072750":[],"072751":[],"072783":[],"072798":[],"072813":[],"072824":[],"072828":[],"072839":[],"07285":3,"0728785":[],"072898":[],"07291729":[],"072918":[],"072928":[],"072955":[],"072958":[],"072970":[],"072974":[],"07297557":[],"072994":[],"073013":[],"073016":[],"073045":[],"073052":[],"073062":[],"073080":[],"073105":[],"073120":[],"073134":[],"073136":[],"073159":[],"073183":[],"07319349":[],"073206":[],"073225":[],"073230":[],"073238":[],"073280":[],"073299":[],"073303":[],"073320":[],"073325":5,"073344":11,"073362":[],"073363":11,"073368":[],"073369":[],"07337358":[],"073374":[],"073380":[],"073388":5,"073391":[],"073400":[],"073423":[],"073433":[],"073436":[],"073449":[],"07345504":[],"073477":11,"073489":[],"073506":[],"073531":[],"073548":[],"073567":[],"073575":[],"073583":[],"073597":[],"073598":[11,24],"073601":[],"073629":[],"073644":24,"073647":[],"073657":[],"073668":[],"073684":11,"073695":[],"073699":[],"073716":[],"073719":[],"073750":[],"073761":[],"073768":[],"073777":[],"073810":[],"073811":[],"073816":[],"073827":[],"073831":[],"073904":[],"073907":[],"073925":[],"073938":[],"073949":[],"073959":[],"073985":11,"0739975":[],"074006":[],"074019":[],"074034":[],"074050":[],"074061":5,"074067":[11,24],"074084":24,"074111":[],"07413172":[],"074144":[],"074149":[],"074180":11,"074183":[],"074187":5,"074210":24,"07421084":5,"074237":[],"074258":[],"074276":[],"074323":24,"074336":[],"074346":[],"074375":[],"074401":[],"074418":[],"074420":[],"074453":11,"074480":[],"074488":[],"074513":[],"074530":[],"074552":[],"07456491":5,"074569":[],"074573":[],"074592":[],"074666":[],"074684":[],"074693":[],"074708":[],"074715":[],"074729":[],"074743":[],"074760":[],"074763":[],"074773":[],"074818":5,"074819":11,"074833":[],"074838":[],"074839":[],"074845":[],"074881":[],"074905":[],"07490892":6,"074922":[],"074945":[],"074969":[],"074980":[],"074984":[],"074986":[],"074992":[],"075012":[],"075014":5,"075017":[],"075020":[],"075028":[],"075043":[],"075058":[],"075061":[],"075079":5,"075102":[],"075136":[],"075138":[],"075145":[],"075149":[],"075181":[],"075188":[],"075192":[],"075195":[],"075201":[],"075222":[],"075227":[],"075228":[],"075241":[],"075262":[],"075277":11,"075302":[],"07532297":[],"075335":[],"075356":[],"07535606":[],"075389":[],"075433":[],"075498":[],"07557024":[],"075573":[],"075586":[],"075594":[],"075612":[],"075618":[],"075629":[],"07565581":23,"075728":[],"075760":[],"075770":[],"075797":[],"075816":24,"075820":[],"075829":11,"075840":[],"075863":5,"075889":24,"075899":[],"075959":[],"075982":[],"075987":[],"075996":5,"076022":[],"076055":[],"076066":[],"076079":[],"07608141":[],"076096":[],"076097":[],"076121":[],"076130":[],"076150":24,"076173":[],"076204":[],"076216":[],"076248":[],"076264":[],"076270":[],"076282":[],"076306":[],"076315":[],"076329":[],"076338":[],"076349":[],"076389":[],"0764924":6,"076518":[],"076525":[],"076532":[],"07656896":[],"076588":[],"076589":[],"076604":[],"076619":[],"076628":[],"076632":[],"076637":[],"076665":[],"076697":[],"076726":[],"076729":[],"076760":[],"07678":9,"076780":[],"076783":[],"076795":[],"076804":[],"076821":[],"076843":[],"076862":[],"076866":[],"076886":[],"076895":[],"076905":[],"07692307692307693":9,"076927":[],"076935":5,"076938":[11,24],"076942":[],"076955":[],"076958":[],"076990":[],"077003":[],"077004":5,"077009":[],"077013":[],"077015":[],"077022":[],"077033":[],"077062":[],"077079":5,"077083":[],"077108":[],"077131":[],"077140":[],"077144":[],"077158":[],"077164":[],"077168":24,"077200":[],"077203":[],"077211":[],"077219":[],"077228":[],"077291":[],"077338":[],"077349":[],"07735703":[],"077359":[],"077372":[],"077375":[],"077397":11,"077402":[],"077419":[],"077425":[],"077428":[],"077452":[],"077460":24,"077467":[],"077499":[],"077511":[],"077604":5,"077607":[],"077620":[],"077644":[],"077688":5,"077706":[],"077711":[],"077724":[],"07777777777777778":1,"077785":[],"077793":[],"077822":[],"077846":[],"077921":[],"077930":[],"077948":[],"077949":11,"077978":[],"077986":[],"078033":5,"078040":[],"078042":[],"078082":[],"078101":[],"078110":24,"078143":[],"078157":[],"078158":[],"078165":5,"078167":[],"0782":[],"07820":9,"078211":[],"078253":[],"078254":[],"078269":[],"078293":5,"07829878":18,"078299":[],"078300":[],"078314":[],"078323":[],"078326":5,"078336":24,"078432":[],"078436":[],"07844310540708652":[],"078484":[],"078508":[],"078540":24,"078542":[],"078548":[],"07858099596662704":[],"078582":11,"078587":[],"078609":[],"07864":9,"078646":[],"078651":[],"078652":11,"078667":[],"078672":[],"078697":[],"078704":[],"078707":[],"07871":9,"078710":[],"078719":[],"078725":[],"078749":[],"078759":5,"078768":[],"078771":[],"078776":[],"07878641":[],"078795":[],"078812":[],"078845":[],"078860":[],"078880":5,"078899":[],"078908":[],"078911":[],"078942":[],"078962":[],"078974":24,"07897647347778382":[],"07898165660100093":[],"078986":24,"078992":[],"078999":5,"079001":[],"079021":[],"07903849":[],"079043":5,"079056":[],"079110":[],"079142":[],"079152":5,"079157":[],"079158":[],"079179":[],"079214":[],"079218":[],"079224":[],"079225":[],"079242":[],"079260":[],"079264":[],"079268":[],"079273":[],"079278":[],"079281":[],"079298":11,"079306":[],"079347":[],"079379":5,"079383":[],"079389":[],"079405":[],"079406":[],"079424":[],"07943621":[],"079437":11,"079438":[],"07944154":[18,23],"079443":[],"079447":[],"079448":5,"079476":[],"079483":[],"079486":[],"079489":[],"079493":[],"079495":[],"079499":5,"0795449":[],"079553":[],"079558":[],"079580":5,"079609":[],"079618":[],"079622":[],"079631":[],"079676":[],"079680":5,"07968918676726029":[],"0796891867672603":6,"079704":5,"079719":[],"079729":[],"079741":5,"079745":5,"079819":[],"079823":[],"079827":5,"079839":[],"079847":[],"079882":[],"079893":[],"07989327":[],"079901":[],"079944":[],"079946":24,"079948":[],"07995375":23,"079991":[],"07999999999998":[],"07e":[],"08":[9,20,24],"080026":[],"080048":5,"080056":[],"080060":5,"080061":[],"080070":5,"080098":11,"080106":[],"080120":[],"080137":[],"080200":[],"080249":5,"080256":[],"080288":[],"080295":5,"080297":[],"080305":11,"080312":[],"080319":[],"080332":[],"080334":[],"080343":[],"080347":[],"080370":[],"080374":11,"080395":5,"080406":[],"080407":[],"080410":[],"08041015":[],"080434":5,"08043851":5,"080455":[],"080479":[],"080502":[],"080517":[],"080518":5,"080548":5,"080555":[],"080571":[],"080582":[],"080588":[],"080593":[],"080616":24,"080630":[],"080635":5,"080641":5,"080642":[],"080647":[],"080699":[],"080706":[],"080738":[],"080764":24,"080780":5,"080801":[],"080821":[],"080839":5,"08084392":[],"080847":[],"08085812":[],"080916":[],"080922":[],"080973":[],"080984":[],"080998":[],"081007":5,"081022":[],"081046":[],"081072":[],"081140":[],"081144":[],"081163":[],"081194":5,"081198":[],"081211":[],"081216":[],"081233":[],"081253":[],"081258":11,"081262":[],"081276":24,"08131003":6,"081311":[],"081321":[],"081334":[],"081343":[],"081357":[],"081388":[],"081395":11,"081396":[],"081431":[],"081468":[],"081471":5,"0814721":[],"081481":5,"081483":[],"081503":[],"081520":[],"081533":5,"081540":[],"081547":[],"081559":5,"08156108":6,"081576":[],"081613":[],"081620":11,"081637":[],"08165104":24,"081655":24,"081707":[],"081773":[],"0818000034712947":20,"081832":[],"081837":[],"081848":[],"08188077":[],"081881":[],"081932":[],"081953":[],"081989":[],"081990":[],"082014":[],"082027":[],"082040":11,"082089":5,"082105":11,"082122":[],"082139":5,"082140":[],"082145":11,"082158":11,"082166":11,"082174":[],"082183":[],"082189":[],"082204":[],"082267":[],"082282":[],"082285":11,"082286":[],"082288":[],"082295":[],"0823185":[],"082339":[],"082424":[],"082426":[],"082431":[],"082451":[],"082501":11,"082503":[],"082509":5,"08251519":6,"082536":[],"082553":11,"082569":11,"0825971":23,"082620":[],"082642":[],"082653":24,"082683":[],"08271198519070039":[],"082716":[],"082756":11,"082779":11,"082786":[],"08281969e":20,"082839":5,"082846":[],"082852":[],"082874":[],"082875":23,"082877":11,"082896":[],"082900":[],"082921":[],"082939":[],"082990":[],"08299273e":6,"083000":[],"083015":[],"083021":[],"083026":[],"083051":11,"083053":[],"083087":[],"083102":[],"083111":11,"083151":[],"083152":[],"083159":11,"08318298e":1,"083217":[],"083220":[],"08322642264994606":[],"083227":[],"083242":[],"083251":[],"083272":[],"083276":[],"08328216846752691":[],"083300":[],"083320":[],"083321":11,"08333333333333333":[1,9],"083348":11,"083361":[],"08336233266":4,"083380":[],"083399":[],"083404":[],"083417":[],"08343519179767796":[],"083441":[],"083446":11,"083485":11,"083495":[],"083506":[],"083527":[23,24],"08352721390288316":23,"083555":11,"08356774001062162":[],"083573":[],"083579":[],"083600":[],"083627":11,"083629":[],"08363087":[],"083648":[],"083681":[],"083685":11,"083691":11,"083692":[],"083694":[],"08370888":[],"08373167e":24,"08374032367704139":11,"08376632":[6,24],"083766322923899":[6,24],"0837663229239016":[],"0837663229239025":[],"0837663229239043":[6,24],"083772":5,"083779":[],"083799":[],"083829":[],"083832":11,"083849":[],"083859":11,"083899":[],"083913":[],"083935":[],"083977":[],"084000":[],"084006":[],"084008":[],"084017":[],"084018":[],"084019":[],"084024":[],"084032":[],"084076":[11,24],"084086":[],"084092":[],"084096":[],"084101":[],"084107":[],"084124":11,"084147":[],"084151":[],"084157":5,"084184":[],"084187":11,"084223":[],"084224":[],"084226":[],"084230":11,"08426840630693411":[],"08426840630693412":6,"08426840630693413":6,"084269":[],"084277":[],"084278":[],"08428156":[],"084282":[],"084286":[],"084364":[],"084391":[],"084400":[],"084408":[],"084414":[],"084422":11,"084426":[],"084434":[],"084438":11,"084444":[],"084476":[],"084477":[],"084484":[],"084523":[],"084536":[],"084541":5,"084549":[],"08455":9,"084570":[],"084604":[],"084624":11,"084629":[],"084645":[],"08464758160254343":[],"084657":[],"084663":11,"084670":[],"084682":[],"084683":[],"084685":5,"084702":[],"084728":[],"08474":9,"084777":[],"084809":24,"084846":11,"084862":[],"084904":[],"084906":5,"084909":[],"084912":[],"084920":[],"084927":[],"084936":[],"084965":[],"084979":[],"085010":[],"085018":[],"085027":[],"085044":[],"085105":[],"085108":11,"085113":[],"085163":[],"085165":[],"085167":[],"085184":[],"085185":[],"085210":5,"085224":[],"085249":[],"085252":11,"085264":[],"085272":11,"085345":[],"085361":[],"085368":[],"085384":11,"085405":[],"085410":[],"085416":[],"085484":11,"08551306":6,"085571":[],"085603":11,"085655":[],"085716":5,"085764":[],"08576932":6,"085776":[],"085876":5,"085879":[],"08593216":6,"085936":[],"086021":11,"086074":[],"086076":[],"086109":[],"08611111111111111":1,"086112":[],"08612280083325631":[],"086154":[],"086174":[],"086178":[],"086203":[],"086249":[],"086250":[],"086257":[],"086262":[],"086303":[],"08630331":[],"086322":[],"086409":[],"086420":[],"086440":11,"086460":11,"086518":[],"086524":5,"086567":[],"08657894597048958":5,"086608":[],"086610":[],"086624":11,"086665":[],"086679":[],"086705":[],"08673755293381497":[],"086802":[],"086807":[],"086809":[],"086841":[],"08684675":[],"086872":[],"086877":[],"086888":[],"086890":[],"08690":9,"086925":5,"086951":[],"086956":[],"086994":[],"086997":[],"087081":[],"087208":[],"087224":[],"087235":[],"087315":5,"08732305":23,"08734015":[],"087372":[],"087377":5,"087386":11,"087387":[],"087419":11,"08743287e":24,"087470":[],"087501":[],"087520":5,"087573":[],"08758":9,"08759":[],"087615":[],"087689":[],"087746":11,"087833":[],"087834":[],"087860":11,"087878":5,"087887":23,"087891":[],"087894":[],"087910":[],"088029":[],"088037":5,"088074":5,"088104":[],"088119":[],"088164":5,"08816688":[],"088176":[],"0881981":5,"088201":11,"088212":[],"088238":5,"088261":[],"088271":[],"088275":5,"088317":11,"088348":5,"088425":5,"088460":[],"088476":[],"088488":5,"088502":5,"088506":5,"088519":[],"088526":[],"088560":[],"088606":[],"088611":[],"088631":[],"08871404":5,"08873443359350565":[],"088754":11,"088758":[],"088760":[],"088765":[],"088778":5,"088809":[],"08881497884574564":24,"088816":[],"088825":[],"088853":[],"08887708":[],"08888888888888889":1,"088926":[],"088946":[],"088974":5,"088982":11,"08902":9,"089040":5,"089041":[],"089059":[],"089063":5,"089082":[],"08917679":[],"089177":[],"08918584":[],"089206":[],"089212":[],"08923158":[],"089233":[],"089240":5,"08924325e":24,"089246":[],"089306":[],"089310":[],"089329":[],"089355":[],"0893679":[],"089369":[],"089374":[],"089425":[],"089441":5,"08945041":24,"089501":[],"089505":[],"089524":[],"0895387":24,"089539":24,"089551":[],"089614":[],"089683":[],"0896981":[],"089744":11,"089758":[],"089775":[],"089857":11,"089924":5,"08996":9,"089982":[],"09":[1,24],"090014704675496":[],"090028":[],"090039":[],"090128":[],"090174":[],"090229":[],"09023660662586945":[],"090241":[],"090268":[],"090270":[],"09030825":18,"090337":[],"090349":[],"09034902":[],"0903549":[],"090356":[],"090358":[],"090451":[],"090503":[],"090564":[],"090620":11,"090630":[],"090649":[],"090694":[],"090730":[],"090755":[],"090768":11,"0907831":6,"090828":11,"090830":[],"09083636328656121":[],"090849":[],"09085624":[],"090888":11,"090923":11,"090929":[],"091031":[],"091044":11,"091051":[],"091060":[],"091113":11,"09117221":[],"091209":11,"091224":[],"091236":[],"091266":11,"091311":[],"091315":[],"091340":[],"091349":[],"091363":[],"091369":11,"091376":11,"091414":[],"091416":[],"091418":11,"091426":[],"091440":[],"091445":11,"091477":[],"09149881":[],"091579":11,"091620":[],"091630":[],"091647":[],"091659":11,"09166666666666666":1,"091696":[],"0917":9,"09170751":[],"09172408":[],"09172409":6,"091772":11,"091891":[],"091896":11,"091996":11,"092007":11,"092066":[],"092126":[],"09216046":[],"092249":[],"092290":11,"0923":[],"092409":[],"092478":11,"09251":9,"09252364":[],"092524":[],"092621":[],"092724":11,"092769":[],"092879":[],"09289204":23,"09297039":[],"092998":[],"093078":[],"093247":[],"0934597075922044":[],"093497":[],"093556":11,"093593":[],"093624":[],"0938":[],"093844":[],"093930":[],"093979":[],"09404851e":24,"094082198961999e":6,"0940821989624095e":[],"0940821989643363e":6,"094082198966615e":[],"0940821989673748e":[],"094139":5,"094227":5,"094252":5,"094362":[],"09440475":[],"094404754965417":[],"09444444444444444":1,"094472507965532":[],"094477":[],"094610":5,"094619":[],"094657":[],"094722":[],"094812":5,"094848":[],"094867":[],"094925":[],"095171":[],"095184":[],"095313":[],"095315":5,"09533574":18,"095510":[],"095522":[],"095617":[],"095702":[],"0957156":[],"095871":[],"095902":[],"095935":[],"09609807":5,"096173":[],"09631112":[],"09634375e":20,"096472":[],"096516":[],"09652672":[],"096623":[],"09672929714683368":[],"09677394":[],"096833":11,"096845":11,"096872":11,"096893":[],"096894":[],"097":[],"097111":11,"097360":[],"09739330e":24,"097396":[],"097435":11,"09744":9,"09744272":[],"09759873":24,"097602":[],"097634":[],"097710":[],"09772449":23,"09780":9,"09781386":13,"09791":9,"098069":11,"098135":[],"09846636e":24,"09849763":[],"098498":[],"09856879":[],"09861229":[18,23],"098802859381565":[],"099":[],"09903804":8,"0991919894927399":[],"09919198949274803":6,"099191989493334":[],"09951287404314545":1,"099648":[],"09964817":[],"099777":[],"0n":[0,23],"0s":[],"0x11da42d90":[],"0x11db14850":[],"0x11e031e50":[],"0x11e09b370":[],"0x128ee8850":[],"0x12946f2e0":[],"0x1336a6040":13,"0x133c2e1c0":13,"0x13b240850":[],"0x13b8c72e0":[],"0x7fad10f9a280":[],"0x7fad20f69be0":[],"0x7fd098df3280":[],"0x7fd0a9063be0":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,22],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,20,21,23,24],"100":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],"1000":[0,1,2,4,5,8,11,13,14,17,20,23,24],"10000":[2,5,6,10,11,13,20],"100000":8,"10001":10,"1001":[9,20],"1002":20,"1003":20,"10030":9,"100303":[],"100358":[],"10044225464078282":[],"1005":20,"100670":[],"10077114273548984":6,"1009":20,"10097956":18,"1011":20,"1013":20,"1013904243":20,"10141413e":6,"1015":20,"102":24,"1022233262115424":[],"10222333":[],"1023":20,"10230":9,"1023111":[],"10235180e":24,"1023858":[],"1024":3,"102401":[],"102449":[],"1026":20,"1027":20,"1028":[],"103":1,"1030":20,"10302062":[],"103257":[],"10340":9,"1037":20,"10378326e":1,"1038":20,"103822":[],"10391807":6,"10398646080125035":[],"10398646080125036":6,"10398646080125037":6,"1040":20,"10405456":11,"10427270e":24,"10430":9,"104411":[23,24],"10455924":[],"1047":20,"10486183":5,"104862":5,"10505137":[],"105161":[],"105169":[],"10516924":[],"10520":9,"10555555555555556":1,"1056":[],"10589577":5,"106":[],"106095":[11,24],"10620135":[],"106431":23,"10686259":23,"107":[],"10790125813226321":24,"108":[6,9],"108359":[],"10835935":[],"10880921":[],"109":[],"10913":6,"10931453":6,"10950766":[],"10960":9,"1096767776832326":[],"10967678":[],"10th":9,"10x":[0,23],"11":[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24],"110":[],"1100":20,"1101":20,"11022302e":[],"11029323":23,"11046771":[],"111":[1,7,12],"11100":9,"1122558214":[],"112319":[],"11231934":[],"112383":[11,24],"1124":9,"1125":[],"11283168":[],"11297834":[],"1133":[],"11352543":[],"1136":[],"11362930e":[],"11366595":0,"11388888888888889":1,"1139":[],"11390":9,"114":[3,4,14],"11402309":[],"114437":[],"11462415":5,"11481199":[],"11482289e":6,"11499517":[],"115":[3,4,14],"11507992e":1,"11547777218875695":[],"11547777218875696":[],"11547777218876518":6,"11547777218940905":[],"11547777218940906":[],"115822":6,"11590":9,"11598862":[],"11598862273198":[],"116":[3,4,14],"11604844":[],"116048442683864":[],"11660":9,"11666666666666667":1,"11674401539815678":[],"117":[3,4,8,14],"117430":23,"11744554e":6,"11780":9,"11790868":[],"11793498e":20,"117986":[],"118":2,"1182":[],"1183":[],"118318":[23,24],"1184":[],"11840":9,"1185":[],"11850274":[],"1186":[],"11890":9,"119":[2,3,4,14],"11909685e":24,"119625":[],"11962537":[],"1199":[],"119936":2,"119999999999976":[],"11it":[],"12":[0,1,2,3,4,5,6,8,9,11,12,13,18,20,22,23,24],"120":[2,3,4,14],"1203":9,"1203284":8,"12044974":24,"120450":24,"1206":8,"12069773":[],"121":[8,9,10],"12107137e":20,"12152272":[],"1215pm":[21,23],"12160173":18,"12167821":[],"12182967":6,"12196674":[],"122":[2,8,9,10],"12222222222222222":1,"122282":23,"122439":[],"1224392":[],"12288563":[],"122886":[],"12289498e":24,"123":2,"12302855":[],"12318726e":6,"12330033":24,"12330280229368":[],"12333649":6,"12345260617257443":[],"123459876":[],"123711":6,"12380":9,"12387751":[],"12394241e":24,"124":[0,23],"12400":9,"12427889":18,"12434807":[],"1245596497124075":20,"12455965":20,"125":[],"1250":[],"125000":[],"12539459":[],"12552073e":6,"12591227":24,"126":9,"1261":9,"12618549":5,"12630042":[],"1265":9,"127":4,"1270":[],"127043":[],"1271":6,"1277":6,"127773":[],"12777777777777777":1,"127812":23,"12788968":[],"12790":9,"128":[3,4,13],"12803365e":24,"128664":6,"12871842":24,"12885048":[],"12898627064868978":[],"129":2,"12933164":5,"129332":5,"12934015":[],"12937662":[],"12945452":[],"1297":9,"1297300314822336":[],"1298":9,"12adb44b1c20":[],"12m":[],"12pm":[21,23],"13":[0,2,5,6,9,11,12,13,18,20,23,24],"130":9,"13003291":6,"13019959":11,"130200":11,"13030182":[],"13055555555555556":1,"130694":24,"13069442":24,"13083543199018746":20,"131":9,"13117061":[],"13131825":[],"1314":[],"132":[6,9],"13220608e":6,"13228567":18,"13229545716505003":[],"132360":[],"1323603":[],"1326":9,"13261136":[],"1326197715":23,"13280":9,"13288373":[],"133":7,"13320535":[],"13333333333333333":[],"13392097":18,"13393141":18,"135":9,"13519106":[],"13535942":6,"135365":5,"13536532":5,"136":[],"1360":[],"13609760e":[],"1361":[],"1362":[],"1363":[],"1364":[],"13646574":5,"13655438":[],"13661243e":6,"13679863":6,"1371":6,"13734823":[],"13740":9,"137400784702911":24,"137652":[11,24],"1378":[],"1382":[],"1383":[],"1384":[],"13847924":13,"1385":[],"1386":[],"13865173":5,"13876586436927824":[],"138775":[11,24],"1388888888888889":1,"13890":9,"1392559581788775e":[],"1392559584983597e":[],"1392559585048734e":6,"1392559591206444e":6,"13925595925919e":[],"13it":[],"14":[0,2,3,4,5,6,8,9,10,11,12,13,14,18,20,22,23,24],"140":[2,9],"14021063":6,"1404":[],"14042769":[],"140428":[],"14061742":23,"141":2,"14100":9,"1416398":6,"14174062":[],"14174745":6,"1418":9,"142":[6,9],"14231548":[],"14250":9,"14252712":[],"14277718e":24,"142857":[],"14298603":[],"143":[2,3,4,7,14],"1435666":[],"14360598":[],"1437":1,"144":[3,4,14],"14400":9,"1440501043841336":1,"14432948":18,"14440":9,"14451625":[],"1446729567":4,"14484695":[],"144993":23,"145":[2,3,4,14],"14561980e":20,"1457774":[],"146":2,"14617985":[],"147":[],"14710":9,"1472032":[],"14722222222222223":1,"14724135e":24,"147400":[11,24],"14741468":[],"147420":[11,24],"14783702":[],"1479":9,"148":[],"14812206":6,"14818":[],"14822021080294":5,"1484256":[],"148564":[],"14859":6,"148768":[],"148854":[],"149":[],"14900336":23,"149213":[],"14932651":[],"149452":6,"149655":[],"149864":6,"14988578":[],"149886":[],"14995486":[],"149955":[],"14g":6,"14it":[],"15":[0,2,3,4,6,7,8,9,12,13,14,15,16,20,23],"150":[4,8,9],"15005476":5,"150184":[],"15089627":[],"150920":[],"15092012":[],"1509778":[],"15098090e":6,"151":[],"15130074e":6,"151348":[],"151986":[],"152":9,"15200":9,"15258907":[],"152696":[],"15269628":[],"1527777777777778":1,"153036":[23,24],"153106":[],"15320771e":24,"15321987":18,"1533795":[],"153760":[],"15384615384615385":9,"15384615384616":[],"154":[],"15410688":[],"154107":[],"15442554":[],"15454301":[],"15456415e":24,"154720":[],"15483121":[],"154911":[],"155":9,"15503141":18,"15508406":13,"155491":[],"15550086":[],"155687":[],"155883":[],"156":[],"1562":[],"15626984":5,"156270":5,"15629539":[],"15680777":[],"156956":5,"157":[],"15717291":[],"1575":9,"158":9,"1582408":5,"158241":5,"1583767":[],"15843769515580663":[],"1586300629904382":[],"1587":9,"15891336":[],"15899253":[],"159":[],"1590":9,"15990":9,"15g":6,"15it":6,"15pm":23,"16":[1,2,3,4,5,6,8,9,10,14,20,23,24],"160":[],"16006961":5,"1603":3,"1604":[],"1605":[],"160539":[],"16054190e":24,"1606":[],"1607":[],"16111111111111112":1,"1612":[],"1614891":[],"16167387":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"162999":23,"163":[],"16304863":24,"163049":24,"1630775253":1,"16342407":5,"16343471":6,"16384":3,"16397496":[],"16500":9,"1655226":23,"166":9,"16660817":[],"166667":[],"167":[],"16740002":[],"167787":5,"168":9,"168044":[],"16804444":[],"16805821e":6,"16807":[],"16827044":[],"16832385":[],"16840081":[],"16961682":[],"16b8e3cda33a":[],"17":[1,2,3,4,5,6,8,9,14,18,20,24],"17084902":[],"1709":9,"171525":24,"1715252":24,"17174962e":1,"17222222222222222":1,"172405":[],"17240522":[],"1726":9,"17297886491529482":9,"17300":9,"1731":9,"17339342":[],"173439546289586":11,"17428293":23,"17446471":6,"1752":9,"175300":[23,24],"17641709":6,"17647619":6,"17676228":23,"176880142835407":[],"17709473":[],"17774184e":20,"17777777777777778":1,"17796101e":24,"17801022":5,"17826349":[],"17861098":6,"17897671":[],"17917768":5,"17930649":[],"17938393":[],"17942122":[],"17949575":5,"17953942":11,"1797":[1,3],"18":[2,3,4,6,7,8,9,10,13,14,20,23],"180":[],"18029127":5,"18036103":18,"1807":4,"1809":9,"181":9,"1810":[],"1812":9,"18156717":[],"18166474":[],"1821":9,"18217743e":24,"18264218":23,"18266178":[],"182662":[],"18276924":[],"18306165":11,"183062":11,"18327677":[],"18333333333333332":1,"18383522":24,"18393678":[],"184":9,"184519":[23,24],"184895":[],"185":[],"1851":[],"1852":[],"18526":[],"185278747229417":[],"1853":[],"1854":[],"1855":[],"186":[],"1860":9,"1861":[],"18611111111111112":1,"18613217e":6,"18657863":18,"18660":9,"18670072e":24,"18673098":11,"18682538":[],"18695705":[],"18780801":23,"18790439176058887":[],"188":[],"18826299":[],"188263":[],"1887":6,"18912963":[],"18931988":18,"189367":23,"189496":[23,24],"189622":[23,24],"18998208":[],"18it":[],"19":[2,3,4,6,9,13,14,20],"19003":6,"19032152e":20,"19096968":[],"190970":[],"191262820314401":[],"19144544":[],"19158446":[],"19166666666666668":1,"191963":23,"19207979":5,"19213479":[],"19220":9,"19264104e":24,"193":[],"19354258":[],"19379506":[],"19394283":[],"194":[],"1940":[0,24],"19404282648955e":[],"194042826653172e":[],"194042826815498e":[],"1940428268204826e":6,"194042827197027e":6,"19425617":23,"1943":12,"194325":[],"19432526":[],"1944":[],"19444444444444445":[],"19466812":[],"1950915150":[],"1954":[],"19542686939553625":23,"1956":9,"19569961":[6,24],"1961":[],"1962":[],"1963":[],"1964":[],"1965":[],"19677483e":24,"1970":[18,23],"197104":[],"19710439":[],"1973":9,"197370":[11,24],"19740":9,"197738983259782":[],"1979":6,"19800":9,"19853775e":[],"1989":[],"19890453":23,"199":[],"19937":[],"19983530":6,"19994371":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,20,23],"1d":[1,2,3],"1e":[1,2,4,13,14],"1e10":14,"1e4":6,"1f":1,"1k":18,"1n":[0,23],"1s":[],"1x":[0,23],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22],"20":[0,1,2,3,4,6,7,8,9,13,14,20,21,23,24],"200":[0,2,3,4,8,9,10],"2000":[0,24],"200000":[],"20015436":6,"20038136":[],"2004":13,"2006":22,"2008":23,"2010":1,"2011":1,"2014":4,"2015":1,"2016":[0,23],"20174121":[],"2018":[0,3,4,6,14,24],"2018906331":[],"2019":[8,9],"2020":[3,4,14],"2021":[6,14,24],"2022":23,"2023":[15,16,23],"20255857":[],"2027":9,"20277777777777778":1,"20299677":[],"203":[],"20316225":[],"20320502":[],"20375361":[],"203753611274545":[],"20436207e":20,"20461136":18,"20500":9,"20509391":[],"205231":23,"206":[],"2060":9,"20609082":[],"206091":[],"20661216":[],"206640":[],"20664007":[],"2069":9,"20708879":11,"207089":11,"207545":[11,24],"20756638":[],"207888":23,"20833333333333334":1,"2086376":18,"20867052175003364":6,"20867052175006306":[],"20867052175109335":[],"20893188":18,"20893514":23,"20916295":24,"209789":23,"20980":9,"20999563":[],"21":[0,1,2,3,4,5,6,7,9,12,13,14,15,18,23,24],"210151":[],"2101511":[],"210340":[11,24],"21058097":5,"21130":9,"2116753732":4,"21169159e":6,"21265216":[],"21296315":23,"213":[],"213103":[11,24],"21328866":23,"21369083e":20,"213743":[11,24],"21435514e":20,"21472683":[],"2147483647":[],"21493572":[],"21519063":[],"21576737e":24,"21582995e":24,"21596432":6,"216290":[11,24],"21654926":[],"216683":[11,24],"21786964":[],"2188":[],"21909039":18,"21919813":[],"21922061":23,"219222942590059":5,"219249":[],"21924917":[],"21927988":[],"21944444444444444":[],"2195":[],"21985165":[],"21997099":[],"22":[0,1,2,3,4,5,6,9,12,13,14,18,23,24],"22014758":[],"220148":[],"22044605e":[5,24],"220506557673408":[],"22090974":23,"22094791":[],"220968":[],"221":8,"221180":[23,24],"22134069":[],"2216":9,"2218":9,"221805":2,"221921":5,"222400":[23,24],"2225":[],"22442417":18,"2246674023625205":[],"225":4,"22566121":18,"22567203":[],"2259440937":[],"226124657522696":[],"22612466":[],"226856":[],"22685646":[],"22690428":5,"22821344":[],"2284246870217162":6,"2284246870217459":[],"22842468702288576":[],"22842468702288582":[],"22847924":5,"22887861":18,"22893751":23,"22929905e":[],"2299":[],"22it":[],"23":[1,2,3,4,6,7,9,12,13,14,18,23],"23002365e":6,"23014274e":[],"23056012":[],"23076923076923078":9,"23095558e":20,"231":[],"23103285":[],"231224729143838":[],"2315033":[],"23167717":5,"23168292":[],"231683":[],"2321528":[],"232153":[],"232435":[23,24],"23297056":[],"23333333333333334":1,"233528":[],"2338675":24,"233868":24,"234":6,"23408962e":5,"23470374":20,"23477043":23,"23483916":[],"23522201":[],"2357089093":[],"2360682191515046":[],"2361111111111111":[],"2364":9,"23659936":[],"237038":[],"23703839":[],"23732849":[],"2379":6,"23792491":[],"237925":[],"23816792":[],"238168":[],"238574":[],"23857423":[],"23875722":18,"23962594":[],"2397":9,"23971032":24,"24":[0,1,2,3,4,6,9,13,14,18,23],"240670854503034":[],"241252":11,"24125217":11,"24140":9,"24159785":24,"2416":9,"24175744e":6,"24181044e":20,"2419":9,"24276315":[],"24279008":23,"2430":9,"24390":9,"24444444444444444":1,"244858":[],"24485843":[],"24501973e":24,"24512498":[],"24533566":[],"246":2,"2460037":23,"24611674":[],"24629107e":20,"24688732":23,"2470":[],"2476536":[],"247654":[],"24770094":[],"24782786":5,"24784064":[],"24801014":18,"24829908":5,"24844778e":24,"24848907":23,"24906604e":6,"24924624":[],"24929083":23,"249302":[],"2493023":[],"2495":[],"25":[2,3,4,5,6,7,8,9,11,13,14,15,23,24],"250":[2,4,7,9],"2500":[],"25000":[0,24],"250000":[],"250154":[],"25028968":18,"250636":23,"25115233":[],"25116851":[],"2517560119":[],"251879":[23,24],"25201286e":24,"252436":[23,24],"25253892":23,"25259666":[],"2526":[],"252866":[],"25286618":[],"25366775":[],"253668":[],"253775":[],"25385387":[],"253854":[],"255":3,"255001":[23,24],"25522012":[],"256":[2,4],"25617654e":6,"25617657e":[],"25617658e":6,"256962":[],"257":[],"2572":9,"2572495066":[],"2572e3a4b38d":[],"2575":9,"25789255":18,"25792767":[],"25845e8df859":[],"25881631":[],"25902112":[],"259153":[11,24],"2597":9,"25976336":[],"26":[2,3,4,6,9,13,14],"26015755":18,"26079358":[],"26115367":[],"261154":[],"26153846153846":[],"26181254":11,"261813":11,"26185107":[],"26186844":[],"2619":24,"26223899":18,"26290036":[],"26291585":[],"262916":[],"26294938":[],"2629493813057833":[],"26297455":24,"26301436":5,"26306244":[],"264":[],"26409315307910025":6,"2640931530791003":[],"26409315307910036":6,"2640931530791005":[],"26409315307910053":[],"264421":23,"264540221699101":11,"264666":[],"26466619":[],"265":[],"2650":9,"26506981e":24,"265109911":4,"26531223e":[],"2654":9,"26549135":[],"266":[],"26610075":[],"26666667":13,"26678445":23,"26710969":5,"26780278":5,"268":9,"26804287":5,"268043":5,"268227":[],"26822717":[],"268484":[],"26848435":[],"269":[],"26995402":24,"27":[0,1,2,3,4,6,13,14,24],"270":[],"2703":[],"27050214":[],"27090196":23,"27091656":[],"270917":[],"27092897":[],"27092910":6,"273817":5,"27381733":5,"2750":9,"27525917":[],"275341":[],"27547877":18,"27562809e":[],"27580794":[],"27621662e":[],"276263":[11,24],"27660123":[],"27692307692308":[],"27700":9,"2772":[],"2775623201":[],"27760":9,"27801122":18,"278036":[],"27803645":[],"27809912":23,"27924636":5,"27932015e":24,"27n_":20,"28":[0,1,2,3,4,6,9,13,14,16,24],"28001319":[],"280179":23,"28047021":[],"280573":5,"280647":[11,24],"28065343":[],"28067036":[],"28097861":[],"280979":[],"28102554":[],"2812":[],"28186376":18,"281930":23,"28205578e":24,"28219089":11,"282191":11,"282259":23,"282727":[11,24],"283":[],"2830637392":4,"2831603":[],"28336218e":6,"2836":[],"28390":9,"28391978":24,"28475098":8,"28590743":[],"2861":20,"28634473":[],"286345":[],"2871":9,"2873":9,"28744729":23,"2882":20,"2886":20,"2886847885377843":[],"28868479":[],"28875373":[],"2890":[0,23],"2892":20,"2895238":18,"28967287":[],"28it":6,"29":[3,4,6,7,9,14],"29082851":[],"290829":[],"29083183":[],"290832":[],"29115152e":24,"29148545e":24,"29149329":[],"2915":20,"29167186":5,"29229741":[],"2923076923077":[],"29276615":[],"29294618e":20,"2931":23,"294277":[],"2942772":[],"29512284":[],"295123":[],"2954":[],"29546690e":20,"2955":[],"2956":[],"2957":[],"2958":[],"29588901":[],"29592539":[],"296247":[],"296414":23,"29650918":23,"29661191":[],"29672381":[],"2968":23,"297":[],"2971492148":[],"2972":[],"297248":5,"29724806":5,"2980":23,"29822833":6,"298273":[],"298375":[],"298836":[],"29883607":[],"299":[3,4,14],"2990":23,"299267190588216":[],"29938171e":20,"29972182":13,"299748":[23,24],"29it":6,"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,20],"2_t":13,"2_x":20,"2b":20,"2cm":8,"2d":[1,3,11,12,17,23],"2e":6,"2f":[0,7,9,10,11,12,23,24],"2ff97f4bf03b":[],"2g":2,"2g_i":2,"2k":3,"2m":6,"2n":[0,2,3,23,24],"2nd":9,"2p":20,"2pm":[21,23],"2pt":4,"2s":[],"2x":[0,3,8,13,23],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21],"30":[0,1,2,3,4,6,7,9,10,13,14,21,23,24],"300":[3,4,14],"30000":[0,23],"30010":9,"30035718":23,"3005849":23,"301":[3,4,14],"30119421":8,"301475":[],"3014751":[],"3017":[],"3018":[],"3019":[],"301927":[],"3020":[],"3021":[],"30232456e":24,"30258509":[18,23],"302m":[],"303":6,"30313128":18,"30337713":18,"3037":[],"3038":[],"30384239":[],"3039":[],"303m":[],"3040":[],"3041":[],"30442964":24,"30466214e":6,"304m":[],"305":[0,23],"30535506":[],"30552077":[],"30559547":[],"305m":[],"306":[0,3,4,14,23],"3063":[],"306m":[],"307":[0,3,4,14,23],"30700873e":20,"30702075":[],"3072":3,"30761405e":[],"3076923076923077":9,"30787294":6,"3079975":[],"307m":[],"308":[0,3,4,14,23],"30813073":[],"30839676":[],"30891693":[],"308917":[],"308m":[],"309":[0,3,4,14,23],"30936179":[],"309362":[],"30940":9,"30993886e":20,"30b53504a633":[],"30it":6,"31":[3,4,6,12,14,18,20],"310":[0,3,4,14,23],"310579":24,"3105791":24,"311":[0,23],"31120247":[],"31193395e":24,"311m":[],"312":[],"3120271598582915":[],"31211671":[],"31228042":[],"31229747":[],"3123314713548606":6,"31276579e":6,"312m":[],"313":[],"31311243":[],"31318084":5,"31377492":[],"314":[],"31424359":[],"314244":[],"31447174":[],"31457796":5,"315":6,"31507591":23,"31519573":18,"31531613":23,"3155":[0,5,6],"315746":[],"31574634":[],"315977":[],"31597731":[],"316":[],"31605061":[],"31614188e":[],"31644071":[],"31650694":6,"31658671e":20,"31681097":[],"316811":[],"317":[],"31718909":11,"31719317":23,"317367":11,"31768693":[],"31782593":20,"317825933186352":20,"3178411477108273":18,"317m":[],"31835835":[],"31866499":[],"31896852":8,"319803":[],"31980301":[],"31988705":18,"319m":[],"31it":[],"32":[2,3,4,6,12,13,14,18,20],"3200":1,"32039227e":[],"32047562":[],"32066545e":5,"32068012":[],"3208":2,"320m":[],"32149601703519115":6,"3214960170351912":6,"3215":9,"32179365":[],"32183101":[],"32190363":[],"32309075":[],"32320052":[],"324":2,"32450054":24,"32458459":[],"32459186":[],"324m":[],"3250":[1,6],"32512":[],"326238":[23,24],"3263505":[],"326m":[],"32714903e":5,"32721178":[],"327212":[],"32750531e":[],"32766274":[],"327883798133277":18,"32816737":[],"32903042":[],"329492":23,"3297":[],"32992274":[],"329923":[],"32it":[],"33":[2,3,4,9,12,14,18,21],"330":[3,4,14],"3303":[],"33066907e":[5,24],"33078983":[],"33079801":23,"331":[3,4,14],"3310":[],"3313155":13,"33135331":23,"33166055e":[],"3318361":23,"331939":[23,24],"331m":[],"332":[3,4,14],"332018":11,"33201844":11,"332331":[],"333":[3,4,7,14],"3331":[],"33327369":[],"333274":[],"33333333":13,"3337":[],"334":[3,4,14],"335":[3,4,14],"336":[3,4,14],"33611111111111114":[],"33645986e":24,"33646268e":24,"336801":[],"33680101":[],"337":[3,4,14],"33711888":[],"33736485":18,"338":[3,4,14],"33823452e":20,"3384":[],"33900713":[],"33956555":[],"33m":[],"34":[2,3,4,9,14,18],"340071371496255":24,"3403":9,"34040204e":[],"340583":23,"340782":[11,24],"34114547":5,"34158665":[],"341m":[],"342680":[23,24],"34305928":[],"3436":[0,23],"3437":[0,23],"34378387e":24,"34412923":24,"34498451":[],"3456":[],"345687771875474":[],"34568872":[],"34569596":5,"3457":[],"34578026":23,"3458":[],"34585355":[],"3459":[],"3460":[],"34678929":[],"346810":[],"3469819128513336":[],"34740615":[],"3498":[],"34989509":18,"34it":[],"35":[0,2,3,4,6,9,14,21,23],"35030572":[],"35074881":[],"350749":[],"35123041":[],"3514":[],"35140":9,"35147135":[],"35147532":[],"351636":[11,24],"35182854":5,"35203688":[],"35207264":[],"352073":[],"3522":[],"3525":[],"3528556":[],"352856":[],"3529":[],"3530606977":[],"35309734":18,"35319678":[],"35346808":[],"3538":[],"35396404e":[],"35401056e":[],"3543":[],"35438626":23,"3544313922":6,"3546":[],"35470445e":[5,24],"3548":[],"355":[3,4,14],"3551":[],"35533773":6,"35533774":[],"3556":[],"35562617e":[],"35568525":23,"3558":[],"355906":[],"35590603":[],"356":[3,4,14],"3560":[],"356399":[23,24],"3567":[],"357":[3,4,14],"35704388":5,"357044":5,"3572":[],"35724288e":[],"3575":[],"357508":[23,24],"3576":[],"3577":[],"35771826":6,"35771842":[],"35776087e":20,"35793003441520066":[],"358":[3,4,14],"3581341341":4,"3581571":18,"35821426":[],"3585":[],"3587":[],"35892474":[],"35894575":[],"359":[3,4,5,14],"3593":[],"35947075":23,"3594821":[],"3595":[],"3598":[],"359999999999985":[],"36":[0,2,3,4,5,6,14,20],"360":1,"3604":[],"3605":[],"3606":[],"360688":[],"3609":[],"36102113":[],"36117602":[],"3613":9,"3615":[],"361556":[23,24],"3617":[],"3621311":5,"3624":[],"3627":[],"3628":[],"363295916323784e":6,"363295916414895e":[],"3632959170548605e":[],"3632959215700067e":6,"363295924430451e":[],"363834":[],"36383443":[],"363936":[],"36393643":[],"3643":[],"3644017":[],"364402":[],"364418e97433":[],"3645":[],"3646":[],"3647":[],"365350":[],"36535019":[],"3655":[],"3655222":5,"3659":[],"3665263":[],"3668":[],"36689784":[],"366898":[],"3669":[],"36692356":23,"367":2,"3672":[],"3673":[],"3674":[],"3679":[],"36809474":23,"3684":[],"368537":5,"36853738":5,"3687":[],"3688":[],"368m":[],"369139":[11,24],"36it":[],"37":[2,3,4,6,9,14,23],"3704":[],"370782966":4,"3711":[],"37114298":18,"3713":[],"37157712":[],"3718":[],"3721":[],"3722":[],"37239927e":24,"3725":[],"3729":[],"37307168":[],"3739":[],"37396662":6,"37415316":[],"37419664":11,"374197":11,"374291":[],"37429133":[],"3748":[],"3749":[],"3753":[],"375694":23,"3759":[],"3760":[],"3765":[],"376547":23,"376559":[],"37655936":[],"376834":[],"37683438":[],"37692363":[],"37703055":[],"37713991":[],"3772":[],"3773":[],"37732":[],"377372":24,"37737221":24,"3776":[],"3777801602":6,"3779":[],"37835429e":[],"3784":[],"378664":[],"37866422":[],"37885034":23,"37900111":6,"3791":[],"379203":[],"3794":[],"379647":[],"37964744":[],"37992857":[],"37it":[],"38":[2,3,4,9,14,20],"380":9,"38019139":[],"3802":[],"3803":[],"3804":[],"3805":[],"380739":[],"38073947":[],"3811":[],"38135733e":6,"3815":[],"381627865854956":[],"38162787":[],"38168549":[],"3817475779":6,"3818":[],"3819":[],"3820":[],"382187":23,"38222896":[],"3823886":[],"382389":[],"38246359":[],"382672":[],"38267217":[],"3827":[],"382951":[],"38295101":[],"38299798":[],"3830":[],"38302314":[],"3833":[],"38336316":[],"3834":[],"3837":[],"3838":[],"383878":11,"3838783":11,"3839":[],"3842":[],"38461538461538464":9,"3850":[],"3851":[],"38533184":[],"38533185":6,"3854":[],"3858":[],"386":9,"38605872":[],"386059":[],"3861":[],"3862":[],"386294":[],"38629412":[],"38629436":[18,23],"38629844":[],"38637915":[],"3864":[],"3867":[],"3869":[],"387":[],"3871":[],"3872":[],"38730917e":24,"387482":[],"38748219":[],"3876":[],"38763091":18,"38788697":18,"388":[],"3881":[],"3882":[],"3885":[],"3886211842840971":23,"38868469":[],"3888":[],"3889":[],"389":[],"38901478":[],"38906684":[],"389067":[],"3891":[],"38916861e":6,"38962192e":6,"3898":[],"39":[0,2,3,4,9,14,21,23],"390":[],"3906":[],"39074222e":24,"39095416":[],"3914":[],"3915":[],"3916":[],"391602":[],"3917":[],"39197698":24,"391977":24,"39214397":24,"392144":24,"3922":[],"3925515884752442":[],"39272691":[],"3928":[],"3929303193461995":23,"3931":[],"39311435":[],"39384255":[],"393843":[],"3943":[],"3944":[],"39456996":[],"39493843":[],"3950":[],"3955":[],"39560937":[],"3957482":23,"39579407":5,"3958":[],"39595799":[],"3960":[],"3962":[],"3970":[],"39706038":5,"39707147":23,"39724390e":[],"3975":[],"397700":[11,24],"39789527":[18,23],"3979":[],"39794864e":[],"3980313467":6,"3983":[],"39864527":[],"39924562":[],"399246":[],"39931051e":24,"3994":[],"39943328":18,"3996":[],"399836":[23,24],"39it":[],"3bdkrb":[],"3d":[2,3,4,6,13],"3f":[1,3,9],"3n":18,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,13,23],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23],"40":[1,3,4,6,9,14,21,23],"400":4,"4000":[9,23],"4005":[],"4011":[],"40116777":[],"401168":[],"4012":[],"4017":[],"4017308":[],"40183706":[],"401842":[11,24],"40214433":[],"4022":[],"40236901e":[],"4027":[],"4030":[],"40340043":[],"4034668048":[],"4038":[],"40389922":[],"4039":[],"404":24,"4045":[],"4048":[],"4050":[22,23],"4055":[],"405890":[11,24],"4059":[],"40599799":[],"40620066":24,"406201":24,"40672425":23,"4068":[],"4069":[],"4075":[],"40754621":[],"4077":[],"408":[],"4082":6,"40829683":[],"408297":[],"4084":[],"4087":9,"4087793":5,"4088":[],"4089":[],"409":[],"40927184e":6,"40980089":[],"409801":[],"40a38ad763f1":[],"41":[0,2,3,4,9,14,18],"410":[],"4100":[],"4107":9,"410815":[],"41081513":[],"411":[],"4115":[],"4117":[],"41170104":[],"412":[],"41211579":[],"412116":[],"4128":[],"4131":[],"41340248":23,"41351287":[],"413513":[],"41357064":[],"41386599":18,"4143":[],"41433969":5,"4144":[],"41446721":[],"4146":[],"41511965e":1,"415201":23,"41542567":[],"4155":[2,15],"415534701258823":[],"41566661":[],"4162706317":6,"41646135":23,"4166666666666667":9,"4167":[],"4176":[],"4177":[],"418506":[11,24],"4186":[],"41876267":[],"418763":[],"41882036e":[],"41882037e":6,"41923956":18,"4192423635":[],"41958102e":[],"4198":[],"41990268":[],"41it":6,"42":[1,3,4,8,9,10,14,18],"420":[],"42028578":[],"42037468e":[],"420543":11,"42054337":11,"42078103":[],"421":[],"4212":[],"42130182":[],"422":[],"422275":[],"4224":[],"422480":[],"4224801":[],"423":[],"4230769230769231":9,"42340403e":[],"42352791":23,"42394972":[],"424":[],"42441033":5,"42449643":[],"42450":9,"42451192":18,"425":[],"4255":[],"4258989918":[],"426":[6,7],"42615374e":[],"42631342":[],"42694395":18,"427017":[],"42732954":[],"4275":[],"4284066":[],"42882114e":24,"42902155":18,"42915006":18,"43":[0,1,2,3,4,7,9,14,18],"43036842":18,"4304167":[],"43054282":5,"4310":23,"43135183":[],"43294696e":[],"43330971e":6,"43333886":[],"43482628":[],"434932":[],"43493232":[],"435163":[23,24],"43552433":[],"435567":[],"43556723":[],"43560678":[],"43579948e":6,"43639284e":24,"436462435":4,"43761347":[],"43766686":11,"4379":[],"43794243e":20,"438060758":6,"438136":[23,24],"43876695":[],"438767":[],"439230":6,"4399427":[],"439943":[],"44":[0,1,2,3,4,14,18],"44021223":11,"44065609":18,"44089210e":[5,24],"4410":[],"4411":[],"441264":23,"44152248":[],"44190304":18,"44198566":[],"442600":[11,24],"442701":[],"44270138":[],"443217":[23,24],"443538568902246":20,"44353857":20,"444":9,"44624525e":24,"446453":23,"44651551":[],"44688507e":[],"44830642":[],"44838453e":20,"44894073":[],"44906236e":24,"44970586e":1,"44997121":[],"44it":[],"45":[2,3,4,9,14,21,23],"450":9,"450257":[11,24],"4504":9,"45220770e":24,"452553":23,"45290829":[],"45372697":5,"453727":5,"45393214e":[],"454027":[],"45402701":[],"4543859":[],"4557763":11,"455947":[23,24],"456":9,"456418966187335":[],"457":2,"45720968e":24,"45741697":[],"457770268480242":[],"458027":[23,24],"458078":[11,24],"45915671e":24,"45951629e":20,"45960079":5,"45979894":18,"45985488":[],"459855":[],"46":[2,3,4,9,14,21,23],"4601":9,"46023985":24,"461":[],"461175":[],"46153846153846156":9,"462":7,"46284227":[],"46312791":23,"46369869":23,"46383925e":6,"463861":23,"46400080e":24,"464424":[],"4644244":[],"46508305":[],"46567887":[],"46575843e":24,"466":[],"46602982":[],"46650488":[],"466505":[],"46696223":[],"4676059":24,"467606":24,"469":[],"46932688":[],"4694":[],"46984697e":6,"469868":[],"46986815":[],"47":[2,3,4,9,14,21,23],"4703":[],"47042744":5,"470714":[23,24],"47075725":6,"47116868e":6,"47125748":5,"47132891":5,"47158029e":24,"47245463":[],"472455":[],"47248297":23,"47387858":[],"47400238":[],"47432993":[],"4744":[],"4744219":[],"47478057":[],"47482507":[],"47485224":[],"475311":[],"47531107":[],"47610036":6,"47726407e":20,"47815203":11,"47920156":[],"47942814":[],"479465113":4,"48":[2,3,4,9,14],"480":23,"48089797":[],"48133064":[],"481979":6,"48212873":[],"48257387":[21,23],"48316523e":[],"483257001":13,"4837":[],"48420165":[],"48442336":[],"48476997":11,"48574149":[],"486873":[],"48687342":[],"48739546":[],"48871288":[],"488713":[],"489":[],"489522":[],"48952201":[],"48971452":[],"48994188":5,"48it":[],"49":[2,3,4,5,6,9,11,14,24],"490":[],"49052317e":20,"491":[],"49152":3,"492":[],"49242688":[],"49282737":[],"493":[],"49385454e":[],"4940954":[0,23],"49468927e":20,"49545491":23,"4959161509356135e":[],"495916150936645e":6,"495916150936654e":[],"4959161509377256e":6,"495916150938325e":[],"49614357":[],"496337":[],"49633743":[],"49636583":[],"49666527e":20,"49672291":[],"49680475019226":[],"497":[],"49730046e":24,"498":[],"499":[],"4990":20,"499012":[],"49901244":[],"4992":20,"49932427e":5,"4997":20,"49974854":[],"49992743e":[],"4b5d3mupqma":[],"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[21,23],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],"50":[1,2,3,4,6,7,8,9,10,13,14,23,24],"500":[1,3,4,6,9,10,13],"500000":[],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"501":[],"501049":[],"50104946":[],"50105159":[],"5018":20,"50219982":[],"50227564e":6,"5031474174499113":[],"50314742":[],"50321091":5,"504167":[],"50416731":[],"504881":[],"50488131":[],"50584526":18,"506":[0,24],"506553":24,"50655336":24,"50680321e":[],"50727059":[],"50754416":[],"50769230769231":[],"50799086":[],"507d50":[9,10],"50812169":[],"50835355":5,"508354":5,"50846111e":[],"50846112e":6,"50931378":18,"50it":[],"50j":13,"50x10":1,"51":[2,3,4,10,14],"510":1,"51004249":[],"51075117":[],"51108791":18,"51126895e":[],"51131471":[],"511315":[],"51146442":23,"51150176":[],"51174395":[],"511888":5,"51191552":6,"511977":[],"51197747":[],"512132":[],"51214899":[],"51265232":[],"51289697":[],"512897":[],"5138":[],"51389553":[],"51400374e":24,"514219":[23,24],"51507839":18,"51561271":[],"51578522e":20,"51656406":23,"51664729":[],"51732028":[],"517350858882083":[],"5177783846":4,"517823":[],"51782322":[],"518030":[],"51803019":[],"5188328":[],"518833":[],"518895":23,"51900727e":24,"51933924":18,"519842":[],"52":[3,4,14],"520931":[],"52093124":[],"5216048821598704":[],"521719":[],"52171908":[],"5222222222222223":1,"522758":[],"522836":23,"52307692307693":[],"52362157e":24,"52512084":11,"52580392":5,"525804":5,"5260627":[],"526744":[11,24],"52713812":[],"52723079":[],"52744746":13,"52773051":[],"52799362":[],"528115":[],"52811546":[],"52819229":[],"52839842":18,"52874252":5,"529":[],"52911941":[],"52945798e":[],"53":[3,4,9,14],"5303329":11,"5305555555555556":1,"5312":[],"531280":[23,24],"53189647":[],"53219937":[],"53254035":[],"53312754":[],"533941":[],"53394148":[],"53423784":[],"534362":23,"53479276":[],"534793":[],"53502096e":24,"53603432":[],"53611562":[],"53623614":[],"53697476":[],"53703498":6,"5378811":11,"53794784":[],"537948":[],"53815559":[],"53822787":[],"5384615384615384":9,"53846153846155":[],"539261":[11,24],"53938383":[],"539384":[],"53952479":[],"539525":[],"53952664e":24,"539683":11,"53968309":11,"53971260e":24,"53it":6,"54":[3,4,6,9,14,20],"540":9,"54016188":[],"540162":[],"54039921":5,"54041041e":[],"54078623":11,"541605":[23,24],"54163136":[],"54302039":[],"543939":24,"54393936":24,"544439":[23,24],"54445121":18,"54537329":[],"546166676":[],"546712":[],"54671213":[],"5472246386316972":[],"54722464":[],"54780216":[],"54845458":[],"548455":[],"54886137":[],"54894095":[],"54956992":18,"54969168":[],"54it":[],"55":[1,2,3,4,9,14],"5501":[3,4,14],"55026099":[],"550321":[],"55202922":[],"552731":[],"55273102":[],"5539":[],"55505907":[],"555187":[],"55518724":[],"555496":[],"5554964":[],"55553537":[],"5555555555555556":1,"55571665":[],"55578041":[],"55626454":18,"55640013":23,"55640387e":24,"5566":[],"557795":[11,24],"558080":[],"55808001":[],"558241":[],"55824107":[],"55854694":11,"55907387e":24,"55914617e":24,"5594":6,"56":[1,2,9],"56033697":5,"56071752e":20,"561":[],"5611":[],"5615":[],"56183518":[],"56198284":5,"5625":[],"56302854":[],"563167":23,"56343926":[],"5639":[],"564":9,"564374":[11,24],"56437897":[],"564379":[],"56481272":23,"565":9,"565006":[],"56500639":[],"56536":[0,23],"56556315":[],"565651":[],"56565106":[],"566":9,"566074":[],"56607416":[],"56636616e":6,"567":9,"568":9,"56807589e":24,"56848886":[],"569":[1,9],"56912044e":6,"56939714":5,"56992937":[],"57":[0,2,8,9,21,23],"570":9,"5700":[],"571":5,"571092":[],"57109235":[],"571105947979336e":[],"571105947979352e":6,"571105947979394e":6,"571105947979395e":[],"571105947979439e":[],"57154252":[],"57174058":[],"57201944e":6,"572069":23,"57266138":[],"57350724":18,"57361898":[],"574465":[11,24],"57505712":23,"576431":[],"57643113":[],"57673618":[],"5769230769230769":9,"57776818e":20,"57810065":[],"57810898e":20,"57842073e":[],"578889":[],"57888946":[],"57947706":23,"57it":[],"58":[2,9,10,21,23],"58042237":18,"58084359":[],"58112299":[],"581123":[],"58171189":[],"58187347":[],"58312967":[],"5833333333333334":9,"583595":[23,24],"58395707":[],"58428804":[],"58474054":[],"584804":[],"58492636e":24,"58590795":23,"58666142":23,"58671946":[],"5888888888888889":1,"589":[],"58986647":[],"59":[2,9],"590":[],"591":[],"591317992":4,"591594":[],"59159438":[],"59182949":[],"59190877":[],"592":[],"593":[],"593040":[],"59304008":[],"59323905":[],"59367954":[],"5944444444444444":1,"59445979":[],"594460":[],"59468796":[],"59591979":[],"595920":[],"59592669":[],"59616454":[],"596165":[],"59654302":[],"59766":[],"597660":[],"59833875":[],"598392":[],"59839245":[],"59950055":18,"59955801":[],"5cm":20,"5dd54edf2138":[],"5f":8,"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,21,23,24],"60":[1,2,3,6,9],"60000":4,"60083846e":24,"60133562":[],"60158334":20,"601583341274718":20,"60176806":[],"6019067271":4,"601942":11,"60194224":11,"60236782":18,"60236938":[],"60293962":5,"603494":[],"60349429":[],"603636":23,"60420593":5,"6052136":[],"60538875":[],"60543038":24,"60619654":[],"6063219":[],"606439":[],"60673226":11,"606760":5,"60685864":[],"60791699":[],"6079169911277265":[],"608028":[],"60802823":[],"60815105":6,"6084611325305795":[],"60943791":[18,23],"60975366":23,"60980325":[],"60it":[],"61":[2,7],"61033524":[],"6111111111111112":1,"61123608":[],"612939":[23,24],"613579":[23,24],"61399851":[],"613999":[],"61406871":[],"614133":[],"61413333":[],"61463451":[],"614808":[11,24],"6149274949460215":[],"61520194e":24,"6153846153846154":9,"61576236e":[],"61634314":[],"61702282":6,"617572":[],"61757228":[],"618":[],"61808351":[],"618982":[23,24],"61899355e":24,"6199381169260247":[],"62":[],"621102":23,"62168613":[],"62170669":[],"621707":[],"62249103":[],"62364974":[],"62373464":11,"624220":11,"62422045":11,"62432074":[],"62470815e":24,"625":7,"62571673e":20,"62620724":[],"626635268":6,"62683307":[],"62759057":13,"62767384":[],"62806444":23,"62894215":5,"62896882":[],"62914124":23,"629961":[],"63":[0,1,6,7,24],"6300745149331701":24,"630224":[],"63025821e":6,"63112036":23,"63115792":23,"63162342":24,"63207808":[],"63249532e":6,"63270833":[],"63281351":23,"63332882e":24,"63367582":[],"633676":[],"633949":23,"63395187":[],"63430285":[],"6343356":5,"63498144":5,"63675140":[],"637104":11,"63710438":11,"637129335071195":24,"6371293350711955":[],"63734811e":24,"637545":[],"63754524":[],"63860687":[],"63862189":[],"63901111":[],"63it":[],"64":[1,2,3,4,7,13,18,23],"64012627":5,"64033527":23,"64064128":[],"64113381e":[],"64141716e":[],"642380":[],"64238022":[],"64293754":[],"64298419":23,"6431453":[],"64425009":[],"645":[],"64528459":[],"645285":[],"64615384615385":[],"646283":[11,24],"647":6,"64736858":18,"64742912e":6,"647473":[11,24],"6489862":[],"649339":[],"64933923":[],"649382":[11,24],"64972151":23,"64x50":1,"65":[1,2,7,8,9],"65136857":[],"65280103":[],"6530742540053943":[],"65335632":18,"653578701904388":9,"6536392":24,"65442354":24,"654424":24,"65444431":[],"65522261":[],"65571174e":24,"65578316":[],"65599456":24,"6562":[],"65626043":[],"65628853":[],"657041":23,"65743689":24,"65746064":24,"6577093":23,"65795279":18,"658":2,"65833132":24,"65885453":5,"65891389":24,"658914":24,"659":2,"659306":[],"65it":[],"66":2,"660":2,"66054752":[],"66064822":24,"66080313":24,"66087937":[],"66111673":[],"66204648":6,"66219404":6,"66226149":[],"66247212":[],"662854":[],"66285434":[],"6628996975186953":24,"66292841":[],"66294408":24,"66295776":[],"662958":[],"66310422":[],"6638":9,"66410989":[],"66443521":11,"6652177":24,"66560":9,"66614025":[],"66619972":[],"666200":[],"66620847":[],"66638078":[],"666597":23,"6669838269597004":[],"667":9,"667239":23,"668172":[23,24],"668186":[],"66818635":[],"66934291":[],"66950317e":24,"66973261":23,"66981186":[],"66it":[],"67":[2,9],"67047975e":6,"67054028":[],"671089":[],"67160204":23,"67258699":[],"672721":[23,24],"67314874e":[],"673457751724773":11,"67354673":23,"67442363":23,"67588315":[],"67591616":[],"67655635":23,"67697934":[],"67838309":[],"67882608":[],"67970864":[],"679709":[],"68":2,"68029036":[],"6808538439837775":[],"68127341":18,"68176047e":[],"68192193":5,"68246089":[],"682464":[],"68246434":[],"68279358":[],"68286725":24,"68322599":18,"6834195":[],"68485505":[],"68534263e":6,"68542204":5,"68545647e":[],"68626148e":24,"68664664":23,"6869":9,"68719389":[],"687194":[],"68731669e":20,"6887363571":4,"68886089e":20,"689230294669661":[],"68929213e":6,"689345":23,"68944595":[],"689519":[11,24],"68965135":[],"68it":6,"69":[2,7,9,20],"690":9,"69023787":[],"690569639355314":[],"69061276":[],"690617":[23,24],"69069n_":20,"69115646":[],"6914791":23,"69154964":18,"692":1,"6923076923076923":9,"69295955":[],"69363975e":24,"6943316601792833":[],"69481746":[],"69484813e":[],"69487891e":24,"69493539":[],"69504801":6,"6960326":[],"69634577e":6,"69695259":5,"69764852":18,"69826476e":24,"6984511994530214":[],"69908626":6,"69985355":[],"6999536":11,"69it":[],"6e75736fdab1":[],"6f7a6bd7d79f":[],"6m":[],"6n_":20,"6pm":23,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,18,19,20,22,23,24],"70":[1,6,7,9],"70037324e":24,"70127680":[],"701370":5,"70179437":[],"70205195":[],"70208087e":20,"70354373":[],"703716d317a7":[],"70421972e":24,"70434005":[],"70473799e":24,"7050":[],"70501534":18,"70598996":[],"70653767":4,"70710678":[5,24],"70721787":[],"707218":[],"70727837":[],"70769586":[],"70831425":[],"70832814":5,"7086067479626619":24,"709698":23,"70980493":[],"70it":6,"71":1,"71131626":[],"71142161":24,"711422":24,"7119":9,"712018":[11,24],"713163":23,"7134":[],"713487":[],"71348713":[],"71350226":[],"71441535":[],"7151":[],"71721168":[],"71737253":24,"71760245":[],"71761101":24,"718165":5,"71822416":[],"718697":[],"71869727":[],"72":[],"72057967":[],"72101205":[],"72174172":11,"72199579e":24,"722047011333792":[],"7221662":23,"72228205":23,"7225597":23,"72261919":[],"72271878e":6,"72347283":[],"7236674":5,"72373129":[],"72394787":[],"724":3,"72509099":[],"72522848":[],"72567956":5,"725680":5,"72594302":[],"72671218":[],"72855434":18,"72859758":5,"7293182":[],"72981762":8,"72986500e":20,"73":[2,6],"73005463":[],"7306310662842432":[],"731000":[23,24],"73174557":[],"73287103e":[],"733096":[23,24],"73406033e":[],"73484667":[],"735738558766299":[],"73573856":[],"737386":5,"73738602":5,"73752910":[],"7386068":[],"73947737":5,"73it":[],"74":[2,6],"740":9,"74081822":8,"741264":[],"74126425":[],"742975":[],"74297504":[],"74368436":[],"74384949":24,"743u":[],"7448615806559786":[],"74607851":24,"7469898175164704":[],"747224":11,"74722409":11,"74829661":24,"74840212":5,"7484669886413582":[],"74935095":18,"74943449":18,"749765":[23,24],"75":[2,5,6,8,9,11,23,24],"7501749450963715":[],"750445":[23,24],"75050135":24,"750u":[],"75106135":[],"75118364":[],"751275":[],"75127504":[],"751699":[11,24],"75170092":5,"75269037":24,"75350216":[],"75357263":11,"753573":11,"75357959e":24,"75361646":[],"753846153846155":[],"75453081":18,"7546383166870465":[],"75492292":18,"75517445":[],"75576555":24,"75621895":23,"756232":[],"75623206":[],"756352":[23,24],"75670484":5,"756705":5,"75703965":[],"757040":[],"75770568":24,"758193":[],"75819326":[],"75838233":[],"75853556e":24,"75it":[],"76":[2,9,21,23],"7601030735620569":11,"76060096":[],"76063234":[],"76066069":[],"763u":[],"76400155":23,"7643536":[],"765":7,"76529528":[],"76598941e":24,"76674796":[],"76731400e":[],"76802186":[],"768813":[],"76881337":[],"7692307692307693":9,"76923076923077":[],"76936315":5,"7694444444444445":1,"7696835316227453":11,"77":[2,9,21,23],"77034458":[],"770345":[],"7705527590466072":[],"77070756":5,"770708":5,"77085375":[],"77144798e":24,"77152076":5,"7718":9,"773329728649545":[],"77332973":[],"77333117e":[],"774300":[],"77494715":[],"775":[],"77533038e":24,"77559332":[],"77618224":[],"77627886":[],"77632220e":[],"77636e":13,"77662945":[],"7767978193240488":[],"77711437":[],"77714169":8,"77754132e":[],"7782028952":4,"77859437":23,"77865169":[],"77954956e":5,"78":2,"78009660e":24,"78011544":[],"78156479e":[],"78184120e":6,"78286771":[],"78329097":23,"7843182645426894":[],"78459267":18,"7846153846154":[],"785061":23,"7851533175757255":[],"78561443":18,"78596961":[],"7860324":18,"78674758":[],"787349":[],"7873493":[],"78752269":[],"78941903":5,"78972773":23,"78988962e":[],"79":2,"79009329":[],"790818":[],"79081838":[],"79093776":[],"79111643":5,"791123":[],"79135075":[],"79145214e":[],"7923086060375724":[],"79230861":[],"79285683e":24,"793167":[23,24],"79394867":[],"7939646":[],"79419162":23,"794282":[11,24],"79441434":[],"79449156":[],"79512696":[],"79552752":[],"79602861":[],"79754246":[],"797e":6,"79856831e":[],"798761":[],"79876149":[],"7bsq":[],"7c394b1e8b71":[],"7d7d58":[9,10],"7f2b3a6174c2":[],"7jexgh5soo":[],"7m":[],"7odqolophta":[],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],"80":[0,1,2,5,6,8,9,24],"800":[4,7],"800615":[],"80108096":23,"80162359":[],"802796":[],"80279641":[],"80280228":[],"80315282":[],"803153":[],"80344720e":24,"80354994":6,"803804":[],"80380438":[],"80422999":20,"80469739":5,"8049181":[],"8055555555555556":1,"80561191":[],"80609615e":6,"80609616e":6,"80638926e":24,"8064":[],"80661365":[],"806614":[],"80728853":[],"80734875":[],"807349":[],"80738685":[],"8074242":[],"80747253":[],"80842254":[],"808423":[],"80847477e":6,"80947943":23,"80961969e":20,"80994952":[],"81":[1,2],"81048318e":6,"8108619":[],"81160425":5,"81187794":[],"81333804":6,"81333805":[],"81388724e":[],"814":[7,11],"815563":[],"81592628":[],"815am":[21,23],"81633628":11,"816454":[23,24],"81656508":23,"81671821":[],"81681019":[],"816847":[23,24],"8175":[],"818059":5,"81805914":5,"81912272":[],"8192798":[],"81955926":[],"81974332":[],"82":2,"82027884":18,"82073684":[],"8219235992494145":[],"8219236":[],"82198978":5,"82250097e":24,"82358522":[],"823585220707946":[],"82404007e":24,"82454365":[],"82484316":[],"82592":18,"82650876":[],"826509":[],"8265786":5,"82747653":[],"827477":[],"82750687":18,"82773778":[],"828190347382744":[],"82819035":[],"82949718e":20,"829648415811072":[],"82964842":[],"82997013e":5,"83":[2,23],"8305555555555556":1,"83320794":11,"833208":11,"8338786":[],"834027":[],"83402742":[],"83512277":5,"83516719e":20,"83632853":11,"836874":[],"83687444":[],"83698677":[],"83757843":[],"83760781":23,"839818":23,"83982725":[],"83999999999999":[],"83it":[],"84":2,"84031027e":24,"84062065":[],"84203538":[],"84228957e":[],"84232163":[],"842436":[23,24],"84292394":[],"842u":[],"84310736":[],"84317815":18,"84355903e":1,"8437169762110144":20,"84371698":20,"84443254e":1,"84569271":[],"84614066":[],"8461538461538461":9,"84653115":[],"84780262":6,"84854738":[],"848618":[],"84861838":[],"84886051":[],"848861":[],"84923989e":6,"84924834":[],"84942942":[],"84977962":[],"84994524":5,"85":[1,2,9],"850164":5,"8503720991789538":[],"85065653":[],"85071429e":24,"85086629":[],"85091337":[],"85102768":11,"85104809":18,"85120833":[],"85263220":6,"8527777777777777":[],"85278920e":[],"853241":[],"85324115":[],"853835":23,"853u":[],"8548082":[],"8557822":[],"85601992":5,"85694362":[],"85758696":[],"858":9,"858185":23,"8583333333333333":1,"85843684":[],"85953586":[],"85959007":[],"85979474e":24,"85it":6,"86":2,"86014003e":24,"8608479":[],"860848":[],"861":[],"86117291":5,"86134827":5,"86145244":11,"861676":23,"86171505":[],"86181269":18,"86252988":6,"86361743":[],"8638888888888889":1,"86425056":[],"864251":[],"86478158":[],"865158":5,"86515815":5,"86546962":[],"86550074":[],"86572911":23,"86623151":[],"86630":9,"86635201e":20,"8666666666666667":1,"86810":9,"86879198":[],"868792":[],"86893619":[],"869":[0,23],"86905621":[],"86925797":[],"869258":[],"87":[9,24],"870":[0,23],"8702784034":4,"8705211":[],"87072815e":24,"87099757":18,"871":[0,23],"87191952":[],"871920":[],"872":[],"8722222222222222":1,"87243817":[],"873":[0,23],"87327414":[],"87379129":13,"87381451":5,"874":[0,23],"874951":[],"87495119":[],"875":1,"8759":13,"876":6,"87618586":13,"87625493":[],"87647541":[],"876664":[],"87666423":[],"87667593906086":[],"87667594":[],"8768":[],"878123":23,"878297":[],"87836018":[],"87849647":[],"87902877":23,"8792323":[],"879271":[],"87927126":[],"87927601":[],"87940752":[],"87it":[],"88":[2,13],"88001352":[],"88017651":[],"880177":[],"88031314":[],"88046261":5,"8805555555555555":1,"88063413":[],"88118231":[],"88137798":[],"88168312e":6,"881788":[],"88182591":24,"8826033":[],"88274486":23,"883":[],"88323026":24,"88335933":18,"88336879":5,"88352503e":24,"884":[],"88450476":18,"884669":24,"88477619":[],"885":[],"8850944":[],"88512489":[],"88529063e":6,"8855417382991412":[],"88554174":[],"88560514":[],"88595926":[],"886":[],"88613493":24,"8866190885623907":[],"88661909":[],"88679947":[],"887":[],"887366":[],"88736621":[],"88746795":[],"8879":[],"88871662":[],"8888888888888888":1,"889080":[],"88908038":[],"8894":[],"889686":[],"89":[0,2],"89045167":[],"89126914e":24,"8916666666666667":[],"89274639":[],"89288636":11,"89298533":[],"89335182":[],"893352":[],"893489":[],"89348922":[],"89396164e":20,"89410423":5,"8944444444444445":1,"89543736":23,"89545727":[],"89550839":[],"89565264":[],"89582298":[],"89591553e":24,"8962476":[],"896248":[],"89842298":18,"89873772":[],"89876748":[],"8991514":[],"89944994":[],"899450":[],"8f":6,"8g":6,"8n":18,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,19,20,21,23,24],"90":[1,2,6,9],"900449":[],"9005135872087155":[],"90054363":[],"90066122":[],"9007164":[],"90075537":5,"9011":6,"90220243":5,"90252116":18,"90266948":5,"90268858":[],"9027777777777778":1,"9033":[],"90342093e":20,"903824":[],"90382431":[],"904":[],"9040":9,"904221":18,"90475506e":6,"90491568e":20,"90540529":[],"9055555555555556":1,"90559087":[],"905591":[],"90595152":[],"906298":11,"90629812":11,"906747":5,"90694878":[],"90813514":24,"9083333333333333":[],"90884627":[],"90895045":[],"90940378":[],"90999452e":[],"91":[21,23],"910":9,"9111111111111111":1,"91124889":[],"91128596":5,"912u":[],"913":[],"91346044":18,"91379157":[],"913791573406831":[],"91383439":[],"91396388":[],"914":[],"91416375":[],"91479093":[],"91492986e":6,"915":[],"91511388":[],"91549644":[],"915549":5,"916":[],"91616374":[],"916164":[],"9166666666666666":9,"91682433":[],"917":[],"91760278":5,"918":[],"91812702":5,"918992":[23,24],"919":[],"91936525":23,"9196398947631166":[],"91it":[],"92":[6,9,21,23],"92087142":[],"9212905":[],"921291":[],"92143477":[],"921435":[],"92208477":[],"922085":[],"92272314":[],"922u":[],"9230769230769231":9,"92343595":[],"923602":23,"92373266":[],"924018":[],"92461411":[],"92477093":[],"924e":6,"925":1,"92507116e":1,"9252772":[],"92578916":5,"92603747":[],"92626212":[],"92631966":[],"926320":[],"926583":[],"92658312":[],"92738529e":20,"92754397":[],"927544":[],"9277777777777778":1,"92811987":[],"92817032":[],"92819235":[],"92857143":7,"92888885":[],"92916438e":24,"9292":6,"92921648":[],"92968793":[],"92995253e":24,"92it":[],"93":[],"93023603":13,"93037171":[],"930372":[],"9305555555555556":1,"930583":[],"930683":[],"93082503":23,"931":[0,23],"93155188":5,"93158979":5,"93188452":[],"931885":[],"93229640e":24,"93248252":[],"932483":[],"932u":[],"933":5,"93325497":[],"93371943e":20,"93386901":18,"93414191":[],"93492130e":6,"93522293":13,"93579127":[],"93586895":[],"935u":[],"93601008e":24,"9361111111111111":[],"936762":[],"93676229":[],"936856":[],"93685631":[],"937":20,"937082":[23,24],"93792215e":24,"93799826":5,"938":20,"9383327":[],"9387":9,"939":[0,20,23],"94":[7,20],"9400":[],"94054854":[],"940549":[],"94076632":18,"940776":[],"94077605":[],"94107596":[],"94117118":23,"941866404575299":[],"94212937":[],"94226022e":6,"94227931":23,"9424":[],"94273542":24,"94284104":5,"94320205":5,"94321297":[],"9444444444444444":1,"945":[],"94548496":[],"94591015":[18,23],"946":[],"94639099":11,"946393":[],"94659383":[],"946957":5,"947":[],"9472222222222222":1,"94735055":[],"947903":[],"94790323":[],"948":[],"94822514":6,"9482527":5,"94861749e":24,"948641":[],"94867516":20,"948675162607389":20,"949":[],"94905663":[],"94915262":[],"94917559e":24,"9492866":18,"94986593":[],"95":[1,7,9,11],"95008046":6,"95011994e":20,"95054046":[],"95079764":[],"95136998":0,"95231424":5,"952387":24,"9524":[],"9527777777777777":1,"95284275":5,"95302":[],"953065564":1,"95351665":5,"9538239":[],"954":20,"95446837":[],"9549351910143222":[],"954988":[],"954u":[],"95511792":24,"955118":24,"9555555555555556":1,"95569422":[],"955820c21e8b":4,"95645365":11,"956454":11,"956563":[11,24],"95684892":5,"95703":13,"95714723":[],"957147232685324":[],"957421":[],"95742107":[],"958228616652075":[],"9582286166520774":5,"95824108":18,"958476":[],"95911004":18,"95994091":[],"95it":[],"96":[6,7,11],"960":20,"9601304850018328e":[],"960130485007504e":6,"960130485007934e":[],"9601304850213484e":[],"96013048502692e":6,"96024953":5,"96032148":[],"96081861":18,"96084663":5,"961":20,"962":20,"96251494":18,"9626883":[],"962990":23,"9631064":23,"9635449873404844":[],"9637117593816477":6,"96390357":[],"9640435":5,"964268":[],"96426825":[],"96431281":23,"964735":[],"96473528":[],"96489434":[],"9649652536":4,"96496641":18,"96527903":[],"96534137":18,"96542994e":24,"96551427e":[],"96552318":23,"965548":[23,24],"96601782":[],"96606158":[],"96620033":[],"96631321":24,"96653373":[],"96670977":[],"96686324e":[],"96688672":5,"966899":23,"96735081e":24,"9674916":5,"967536":[],"9675364":[],"96769675":[],"9678":[],"967809":[11,24],"96812218":[],"96863851":[],"96941962":23,"96987657":[],"96992454":[],"96it":[],"97":7,"97005689":5,"970057":[],"970477":[],"97047717":[],"97065296":[],"97108e":13,"97117751":[],"971688":18,"97202":[],"9722222222222222":1,"972286":11,"97228638":11,"97230501":[],"97243128":5,"97300836":5,"97305528e":20,"97434186":[],"97477238":[],"97497404e":6,"975":1,"97507735":5,"97509292":23,"97547354":[],"97547354476579":[],"975510299261579":[],"9760832":[],"97656972":13,"97705827":5,"97708897":11,"977089":11,"97713364":18,"97731700e":24,"977418":[],"97758848":5,"9777777777777777":1,"977880":[],"97788031":[],"9780387310732":22,"9780387848570":22,"9781492032632":22,"97840468":[],"978553":5,"97898392":[6,24],"97906022e":24,"97926491":5,"97952271":18,"97955570e":20,"97980332":13,"97it":[],"98":[0,1,7,9],"980":9,"98005862e":24,"98017611":[],"98036405":[],"9805555555555555":1,"98091621":5,"98129668":23,"981321":[23,24],"98139097":5,"98153145":[],"98248312":[],"98249059":[],"982491":[],"98266587":[],"98275501":5,"982758":[],"98275836":[],"98316352":[],"983164":[],"983310":[23,24],"98346748":[],"9835443722554817":[],"98399675":[],"98400474":18,"98413059":5,"984525":[],"98454786":5,"98467494":[],"985":20,"98566191":5,"98581925":18,"986":20,"9861111111111112":1,"986699":5,"98680716":5,"98699753":[],"98716878":5,"98740124":[],"98756882":[],"98794823":[],"9879924":[],"98808176":5,"98822371":6,"98842948e":24,"9888888888888889":1,"989":20,"9890348":5,"9893149172528393":[],"9893447":5,"98947894":24,"98950411":23,"9898254753574576":[],"98982548":[],"9898ff":[9,10],"99":[7,9,11,13],"990":9,"99009525":5,"9902552771282336":[],"99049330":[],"99051150":6,"99088801":5,"991":20,"99115119":5,"99157584":[],"99176998":5,"992":20,"9920099299023244":[],"99242921":5,"992504":11,"99265097":5,"99274513":[],"993":20,"99316252":5,"99353454":[],"993535":[],"993537":[],"99353748":[],"99371056":5,"99374388":[],"993865":[],"99389612":5,"993972":[],"99397245":[],"9940672992288855":[],"9943201":5,"99435648":[],"9947756":5,"99492986":5,"99498108":[],"99519225":[],"9952495547161103":[],"99528218":5,"99539415":5,"9954911579937146":[],"9955282554647219":[],"9956582":[],"99566069":5,"99578809":5,"9959293935368551":20,"99594988":[],"995950":[],"9959898232423614":[],"996":5,"9960039497353536":[],"99608161":5,"9962074631757628":[],"9963202597920238":24,"9963525271588923":24,"9963864072152893":[],"9963961":5,"99650061":5,"9965048209369255":24,"996694948530336":[],"9967458":5,"99700706":5,"99709215":5,"99724883":[],"99729756":5,"9973102337301051":[],"99751458":5,"99758326":5,"99775587":5,"99775949":[],"99793613":5,"99799099":5,"99813653":5,"99820454":[],"99828624":5,"99829953":[],"9983295":5,"99845267":5,"99854557":24,"998577":5,"99861053":5,"99862019":24,"99869482":24,"99871521":5,"99876945":24,"99881845":5,"99883628":24,"99884384":5,"99884409":24,"99891093":24,"99891873":24,"99893323":5,"99898558":24,"999":[9,20],"99901131e":24,"99901896":5,"99903755":5,"99906023":24,"99911427":5,"99912709":24,"99913489":24,"99918546":5,"99919837":5,"99920175":24,"99926459":5,"99927642":24,"9993237":5,"99933188":5,"9993511":24,"99938942":5,"99941797":24,"9994385":5,"99944272":5,"99949266":24,"99949306":5,"99953381":5,"99953475":5,"99956735":24,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":24,"99970988":5,"9997332":5,"99975913":5,"99977416":[],"99977849":5,"99978365":24,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989476":5,"99991263":5,"99992698":[],"999927":[],"99992746":5,"99993978":5,"99995":5,"9999555851685968":[],"999955585168597":6,"9999840939906267":[],"9999858320366368":[],"9qcu8vcxxru":[],"9x":6,"9y":6,"\u00f8yvind":[6,24],"abstract":1,"boolean":4,"break":[0,4,6,11,14,23],"byte":[18,23],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,17,18,23],"catch":[0,23],"char":[],"class":[0,1,3,4,6,7,8,9,11,12,13,20,23],"const":[],"default":[0,1,2,4,6,7,13,16,18,23,24],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,24],"ekstr\u00f8m":4,"eng\u00f8i":[],"enum":[3,4,14],"export":9,"f\u00f8470":[21,23],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,19,20,21,23],"float":[0,3,4,5,9,11,13,14,18,23,24],"function":[2,3,4,5,9,14,15,16,17,18],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,16,20],"int":[0,1,2,3,4,5,6,11,13,14,18,20,24],"long":[0,1,3,4,12,13,23],"m\u00f8svatn":6,"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,18,23,24],"null":23,"public":[0,3,4,14,17,23],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,18,20,23,24],"s\u00f8rli":[],"s\u00f8rlie":[],"sch\u00f8yen":[6,24],"short":[4,5],"steinsv\u00e5g":[],"super":[5,24],"switch":0,"throw":[3,6,20],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,20,23,24],"try":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,23,24],"var":[1,5,6,10,11,13,20,23,24],"while":[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],A:[2,3,5,6,7,10,11,12,13,16,17,18,19,20,21,22,24],AND:2,And:[0,3,4,5,6,9,13,17,20],As:[0,1,2,3,4,5,6,8,10,12,13,16,18,20,23,24],At:[0,4,6,13,23],BE:[0,23],Be:[2,17,23],Being:13,But:[0,1,2,3,5,6,9,10,20,24],By:[0,3,5,6,12,13,18,23,24],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24],IF:6,IN:22,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],Is:11,Ising:[5,12,24],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],Its:[1,2,4,11],NO:[7,11],No:[6,9,23],Not:[0,1,5,6,23,24],OR:20,Of:20,On:[0,3,15,19,20,21,22,23],One:[0,1,3,4,5,6,7,8,11,12,13,20,24],Or:[0,1,6,23],Such:[0,6,12,16,20],That:[0,5,7,10,11,12,14,20,23],The:[4,10,13,14,15,16,18,19,20,21,22],Then:[0,1,6,8,9,10,11,12,13,14,18,23,24],There:[0,3,4,5,6,8,9,11,12,14,18,19,20,21,23,24],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,23,24],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20],With:[0,5,6,8,9,10,11,12,14,18,20,23,24],_0:[5,8,10,11,13,24],_1:[2,5,6,8,10,11,12,13,14,18,24],_2:[2,5,8,11,12,13,18,24],_3:18,_4:18,_9:13,_:[0,1,2,4,5,6,7,8,9,10,11,12,13,18,23,24],_________________________________________________________________:[],__call__:[],__class__:10,__doc__:6,__future__:[8,9],__getitem__:[],__init__:[1,2,3,4,14],__main__:2,__mosek:[],__mul__:2,__name__:[2,10],__traceback__:[],__version__:[3,4,14],_api:[3,4,14],_asarrai:[],_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,18,20,24],_auto2:[2,3,4,5,6,12,13,18,20],_auto3:[3,4,5,6,12,13,18],_auto4:[4,6,12,13,18],_auto5:[4,6,12,13,18],_auto6:[4,6,12,18],_auto7:[4,6,12,18],_auto8:[6,12],_auto9:[6,12],_ax:[],_base:8,_broadcasting_shape_rul:[3,4,14],_build:[0,17,22,23],_build_call_output:[],_c:1,_call:[],_call_flat:[],_check_1d:[],_check_optimize_result:[7,11],_compon:11,_config_pb2:[],_coordinate_desc:6,_copy_docstring_and_deprec:[],_cpgg0jyh8m:[],_decor:[0,23],_delta:[3,4,14],_depth:9,_dilate_shap:[3,4,14],_ey:[3,4,14],_fraction:9,_get_lin:[],_getitem_multilevel:[],_handl:[],_i:[0,1,2,5,6,7,8,11,12,13,15,16,23,24],_inference_funct:[],_interpolatefunctionerror:[],_is_primit:[],_j:[0,1,2,3,5,6,8,13,24],_jit_compil:[],_k:13,_l:12,_lambda:[6,23],_leaf:9,_logist:[7,11],_m:10,_make_vjp:[2,13],_maybe_define_funct:[],_multilayer_perceptron:1,_n:[2,5,8,11,13,24],_node:[2,9,13],_not_impl:[3,4,14],_notokstatusexcept:[],_np:[],_num_output:[],_one:[3,4,14],_p:[5,8,24],_plot_arg:[],_process_traceback_fram:[],_r:[],_ratio:11,_reduce_and:[3,4,14],_reduce_max:[3,4,14],_reduce_min:[3,4,14],_reduce_or:[3,4,14],_reduce_sum:[3,4,14],_reduce_window_max:[3,4,14],_reduce_window_min:[3,4,14],_reduce_window_prod:[3,4,14],_reduce_window_sum:[3,4,14],_sampl:9,_select_forward_and_backward_funct:[],_split:[6,9],_src:[3,4,14],_stateful_fn:[],_stateless_fn:[],_sy:[3,4,14],_t:13,_test:6,_trace:[2,13],_tri:[3,4,14],_upcast_fp16_for_comput:[3,4,14],_valu:[2,13],_varianc:11,_weight:9,_xla_comput:[3,4,14],_zero:[3,4,14],a0:3,a0faa0:[9,10],a1:[0,23],a2:[0,23],a3:[0,23],a4:[0,23],a_0:[0,23],a_1a:[0,23],a_2a:[0,23],a_3:[0,23],a_3a:[0,23],a_4:[0,23],a_4a:[0,23],a_:[0,1,16,18,23,24],a_h:1,a_i:[0,1,2,12,23],a_j:[1,12],a_k:[0,1,12],a_ndim:[],aaron:22,ab:[0,2,5,13,14,23,24],ab_channel:17,abandon:1,abbrevi:19,abid:20,abil:[0,10,23],abl:[0,1,4,5,6,7,10,12,13,16,24],abort:[],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,21],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,22,23,24],abovement:6,abscissa:13,absolut:[0,2,5,6,13,23,24],absorb:24,acceler:13,accept:[0,3,6,9,23,24],access:[0,3,11,20,24],accid:[4,6],accident:[3,4,14],accmod:[],accompani:[0,23,24],accomplish:[8,9,13],accord:[0,1,2,5,6,9,12,13,14,15,16,20,23],accordingli:11,account:[0,3,5,13,15,20,23],accumul:[12,13,20],accur:[0,3,4,6,10,13],accuraci:[0,1,3,4,5,6,7,9,10,11,12,23,24],accuracy_scor:[0,1,10,23],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,18,23],aco:20,acquaint:[17,23],acquir:[1,17,23],acr:[0,24],across:[1,3,6,9,17,23],act:[1,3,18],action:20,activ:[0,2,3,4,9,19,21,23],actual:[0,1,4,5,6,8,11,16,18,20,23,24],ad:[1,3,4,5,8,13,14,15,16,18],ada_clf:10,adaboostclassifi:10,adadelta:13,adagrad:[],adam:[1,3,4,21,23],adapt:[4,6,13,22,24],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,20,23,24],add_lin:[],add_outgrad:2,add_subplot:[1,7,12,14],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24],addition:[12,13],address:[1,9,11,13,23],adjac:[3,12],adjoint:[5,24],adjust:[0,5,12,13],admir:[0,23],advanc:[4,6,12,22,23],advantag:[1,3,5,6,10,13,18],adversari:23,afecionado:23,affect:3,affin:[0,3,8,11,24],afford:3,aficionado:23,aforement:14,african:[0,24],after:[0,1,2,4,5,6,9,11,12,13,15,17,18,20,23,24],afterward:[0,23],ag:[0,7,19,23,24],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,20,23,24],against:[1,4,7,10],agegroup:7,agegroupmean:7,aggreg:[9,10],agorithm:10,agre:[5,6,20],agreement:13,ahead:9,ai:[0,22],aid:11,aim:[0,1,4,6,7,11,14,15,16,17,18,24],ainv:5,airplan:3,aka:5,al:[0,2,4,15,16,22,23,24],alarm:[5,7],algebra:[0,3,5,13,17,24],algo:[],algorithm:[0,1,2,4,5,6,7,8,13,14,17,18,20,22,23],align:[0,2,5,6,7,8,13,20,23,24],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24],all_gath:[3,4,14],all_to_al:[3,4,14],allevi:[1,13],alloc:[3,18],allow:[0,1,2,3,5,6,8,10,13,15,16,17,18,23,24],almost:[0,1,6,8,11,13,20,23],alon:[2,9],along:[2,3,4,5,6,9,10,11,17,18,23,24],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,20,23,24],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13],alpha_k:13,alpha_m:10,alpha_n:3,alpha_opt:13,alreadi:[2,3,4,5,6,10,12,17,18,20,23,24],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24],alter:1,altern:[0,1,4,5,6,7,8,9,11,13,18,23,24],although:[0,1,5,6,8,10,13,16,23],alwai:[0,3,5,6,12,13,16,20,23,24],am:[4,24],ame2016:[0,23],american:[0,24],among:[0,3,5,9,10,12,18,23,24],amongst:5,amount:[0,1,3,4,6,8,10,14,17],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,24],an_:20,anaconda3:[],anaconda:[0,1,15,17,23],analog:13,analys:6,analysi:[1,3,4,7,14,15,16,18,22],analyt:[2,3,5,6,7,12,13,15,17,23,24],analyz:[0,1,3,4,5,6,14,16,20,23,24],andrew:1,angl:[0,3,9,24],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,20,23,24],anim:[4,12],ann:12,annot:[0,1,3,7,8,23,24],announc:23,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,18,20,23,24],anp:2,ans_vspac:2,ansatz:[0,23],answer:[0,1,3,5,6,18,21,23],antialias:[2,6],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,20],anytim:[21,23],apach:[1,3,4,14],apart:[11,13],api:[1,3,4,14,17,23],appar:2,appear:[0,1,3,13,16,18,20,23],append:[1,3,4,8,9,13,23],appendcon:[],appendvar:[],appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,20,22,23,24],applic:[0,1,3,4,5,6,7,9,12,13,18,20,22,23,24],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,20,22,24],appropri:[2,6,9,12,13,17,20],approv:23,approx:[0,2,3,6,10,11,13,20,23],approxim:[0,1,2,3,4,5,6,7,10,11,13,20,23,24],apt:[0,15,17,23],aq:20,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],aragorn:23,arang:[1,3,4,6,7,9,10,12,13,23],arbitrari:[1,4,6,8,12,13,20],arbitrarili:[0,1,11,23],arc:6,architectur:[3,4,12],area:[0,3,6,9,22,23],arg:[0,2,13,23],argc:[],argmax:[1,11],argmin:[4,10,14],argnum:[2,13],argnum_0:2,argnum_1:2,argsort:11,argu:[1,13],argument:[0,2,3,5,6,11,12,13,23,24],argv:[],argval:2,aris:[0,6,12,13,20,23],arithmet:[0,13,18,23],arm:[3,4,6,14],arma:[],armadillo:18,around:[0,1,4,5,6,11,20,23],arr:2,arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,20,24],arrang:[3,23],arraybox:[2,13],arriv:[0,6,9,11,18,20,23],arrow:12,arrowprop:8,art3d:13,art:[0,1,15,17,23],articl:[0,3,4,6,10,23,24],artifici:[0,2,7,12,22,23],artificialneuron:12,arug:13,arxiv:[3,4],as_fram:24,asap:23,asarrai:[0,2,6,9,24],asc:[],ascii:[],ashrafi:[],asid:24,ask:[5,6,11,12],aspect:[0,6,17,23,24],assembl:[0,3,23],assert:4,assess:[0,6,23,24],assici:4,assign:[0,7,8,9,12,13,14,19,21,22,23,24],associ:[0,6,9,12,14,20,23],associative_scan:[3,4,14],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],assumpt:[0,3,5,6,9,11,20,23,24],ast:[0,5,6,23],astronomi:[23,24],astyp:[4,9,10],asymmetri:[0,23],asymptot:[4,6],async_wait:[],atla:23,atoi:[],atom:[0,23],attempt:[0,4,6,7,8,10,23],attend:19,attent:[0,18,23],attr:[],attract:[0,10,23],attribut:[0,3,4,9,13,14,23],attributeerror:[3,4,13,14],audi:[0,23],audio:[3,4],august:[15,16,23],aurelien:[0,15,19,22,23],austfjel:6,author:[0,1,3,4,10,14,20,23],authour:23,auto:[6,9,10,20],autocor:20,autocorrelation_tim:20,autocorrelform:20,autocovari:20,autoencod:[4,17,23],autoencond:17,autograd:[17,23],autograph:[3,4,14],autom:[0,17,22,23],automac:18,automag:23,automat:[0,1,2,3,4,11,16,17,18,23],automobil:3,autonom:4,avail:[0,1,4,6,10,11,15,17,18,19,21,22,23],averag:[0,1,3,6,9,10,13,14,20,21,23,24],avg:[],avoid:[0,3,4,5,6,9,11,13,14,18,23,24],avx2:[],avx:[],awai:[2,3,6,24],awar:[2,10],award:[21,23],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,23,24],axes3d:[2,6,13],axes_grid1:6,axessubplot:24,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,18,20,23,24],axiom:5,axlabel:[0,23],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,20,21,23,24],b_0:0,b_1:[0,2,12,13],b_2:[0,13],b_5:13,b_:[0,1,18],b_group:9,b_i:[0,1,2,12,23],b_ia_:[0,23],b_ia_i:0,b_index:9,b_is_vec:[],b_j:[1,12],b_k:[0,1,12,13],b_m:12,b_meta:[],b_score:9,b_valu:9,bachelor:[19,21],back:[0,3,4,5,6,8,9,10,15,18,20,23,24],backbon:18,backend:[1,4],backend_specific_transl:[3,4,14],background:[22,23,24],backpropag:1,backtrack:9,backup:18,backward:[1,2,4,12,18],backward_pass:2,bad:[6,24],badli:20,bag:[9,17,23],bag_clf:10,baggin:23,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:6,band:18,bandwidth:18,bar:[0,6,11,15,16,23],barber:22,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,17,20,21,22,23,24],basi:[5,7,8,10,11,12,13,18,24],basic:[2,6,8,12,13,14,17,20,23],batch:[3,4,11,12,13,14],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:7,bayesian:[5,17,22,23],bbupeevmxtg:[],bc298b802fe2:[],beam:23,becattini:21,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,23],beccatini:23,becom:[0,1,2,5,6,7,9,12,13,20,23,24],been:[0,1,2,3,4,5,6,11,12,13,17,18,23,24],befor:[0,1,2,3,4,5,6,7,8,12,13,14,18,20,23,24],beforehand:[0,20,23],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,21,23,24],behav:[1,6,13],behavior:[0,1,13,23],behaviour:12,behind:[0,1,6,8,13,23],behnoosh:[],being:[0,1,2,3,4,5,7,8,10,11,12,13,20,23,24],believ:[9,18],belong:[7,8,9,13,14],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],benchmark:10,bendik:[],benefici:[1,13],benefit:[0,1,4,11,13,15,17,23],bengio:[1,19,22,23,24],benign:[1,7,9],bennosh:[],besid:[4,5],bessel:[5,24],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,21,23,24],beta:[0,1,3,5,6,7,10,11,13,16,23,24],beta_0:[0,1,3,5,6,7,13,23,24],beta_0x_:[0,23,24],beta_1:[0,1,3,5,6,7,10,13,23,24],beta_1x_0:[0,23],beta_1x_1:[0,7,23],beta_1x_2:[0,23],beta_1x_:[0,23,24],beta_1x_i:[7,13,24],beta_2:[0,3,13,23,24],beta_2x_0:[0,23],beta_2x_1:[0,23],beta_2x_2:[0,7,23],beta_2x_:[0,23,24],beta_2x_i:24,beta_3:3,beta_3x_i:24,beta_4x_i:24,beta_:[0,3,6,7,13,23,24],beta_i:[0,3,5,23,24],beta_j:[0,5,6,13,23,24],beta_k:13,beta_linreg:13,beta_m:10,beta_mg_m:10,beta_n:3,beta_p:7,beta_px_p:7,betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,23,24],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,20,23,24],beyond:[0,1,5,6,8,13,23,24],bf:[13,14,18,20],bgd:13,bia:[0,1,2,3,5,8,9,10,12,13,23,24],bias:[1,2,3,5,6,9,12],big:[0,1,2,5,6,14,23],bigger:[1,6,24],bigr:12,bike:9,bilbo:23,bilek:[],billion:[3,12,17],bin:[0,7,20,24],binari:[0,2,3,5,7,9,10,12,23],binarycrossentropi:4,bind:[0,24],binomi:[17,20,23],binsboot:6,bioinformat:[0,23],biolog:[1,12],bios1100:[17,23],bird:[0,3,23],birth:23,bishop:[19,22,23],bit:[1,4,18,20,23],bitwis:[3,4,14,20],bivari:2,bk:[0,13,24],bla:[18,23],black:[8,9,14],bledso:23,blob:23,block:[6,10,17,18,20,23],blockingavg:[],blockingstd:[],blockingvar:[],blocksiz:[],blocksizemax:[],blocksizemin:[],blogpost:4,blue:[0,3],bluntli:23,bm:24,bmatrix:[0,1,3,5,7,8,11,13,18,23,24],bmi:1,bodi:[0,1,4,12,23],bold:1,boldfac:[0,5,16,24],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,23],boltzmann:[12,17,23],book1:22,book:[22,23],boost:[1,9,17,23],boostrap:10,bootavg:[],bootstd:[],bootstrap:[1,13,17,23],bootvar:[],bootvec:[],borrow:23,boston_dataset:[0,24],bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,17,18,20,21,23,24],bottl:7,bound:[0,8,12,24],boundari:[2,4,8,11,12],boundkei:[],box:[4,9],boxed_arg:2,boyd:[8,13],bracket:[4,20],brain:[1,7,12],branch:9,breast:[5,7,11],breviti:13,brew:[0,15,17,23],brg:8,brief:24,briefli:[0,23],bring:[0,5,6,10,23,24],broad:[0,23],brought:[13,17,23],brownle:4,browser:23,brunton:[],brute:[3,5,11,24],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,18,20,23],built:[0,1,3,4,6,24],bunch:11,busi:[0,24],bx:[],bzl:[],c1:[8,11],c2:[8,11],c95af3df0cdd:[],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],c_0:20,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,20,24],c_i:[12,13],c_k:20,ca:[1,23],cabc613b8702:[],cach:10,cal:[0,8,10,12,13,15,16,23],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,20,23],california:24,call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],callabl:[],callback:[],calor:[0,24],cambridg:[13,22],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24],cancel:[0,13,23,24],cancellation_manag:[],cancer:[5,10],cancerpd:7,candid:[8,9,10],cannot:[0,1,4,5,6,7,8,9,19,20,23,24],canopi:[0,15,17,23],canva:23,cap:5,capabl:[0,1,8,13,17,23],capac:[2,21],capita:[0,24],captur:[4,11,12],captured_input:[],car:[3,4],card:[0,7,23],cardin:1,care:11,carefulli:13,carlo:[0,6,17,20,22,23],carri:[2,6,7],cart:10,carvalho:[],casella:22,cast:1,cat:[3,4],categor:[0,1,3,9,11,23],categori:[0,1,3,7,10,12,14,23,24],categorical_crossentropi:[1,3],caus:[0,5,6,20,23,24],causal:0,causat:[0,23],cax:1,cb:[6,23],cbar:1,cbook:[],cc:[0,1,5,13,23,24],ccc:[5,12],cd_fast:6,cdf:20,cdot:[0,2,6,12,13,14,18,20,23],celebr:13,cell:[0,2,3,4,6,9,10,13,14,15,23],center:[0,1,6,7,8,9,11,14,20,23],centr:[],central:[0,3,5,6,8,16,18,23,24],centroid:[14,20],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,20,23,24],cg:13,cha:[0,24],chain:[0,1,13,17,20,23],chanc:[1,5,13,20],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,18,20,23,24],channel:3,chapter3:0,chapter:[0,6,10,11,18,22,23,24],charact:[0,3,5,8,23,24],character:[8,9,10,12,20],characterist:[0,1,3,10,13,23],charg:[0,23],charl:[0,24],chase:4,chat:23,chd:7,chddata:7,cheap:[5,24],cheaper:[1,13],check:[0,1,3,4,5,6,11,13,18,23,24],checkmark:3,checkpoint:[3,4,14],checkpoint_dir:4,checkpoint_prefix:4,chemic:[],chen:10,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,18,23,24],choleski:[5,18,24],choos:[2,3,6,9,10,11,13,14],chosen:[0,1,2,6,8,9,10,13,16,20,23],chosen_datapoint:1,christian:22,christoph:[19,22,23],cifar10:3,cifar:3,cin:[],circ:[1,12],circl:[0,8,12,24],circuit:3,circumfer:9,circumv:[1,5,13,24],ckpt:4,clariti:20,class_nam:[3,9],class_val:9,class_valu:9,class_weight:[],classic:[7,9,13],classif:[0,3,5,6,7,8,11,12,17,22,23,24],classifi:[0,1,4,7,9,10,11,23],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13],clearli:[0,3,5,6,7,8,20,24],clever:[1,10],clf3:0,clf:[0,6,8,9,10,23,24],clf_lasso:6,clf_ridg:[6,23],clip:[3,20],clone:21,close:[0,1,2,4,6,8,9,11,12,13,14,20,22,23],closer:[3,5,13,24],closest:[8,11,13,14],closur:[17,23],cloud:[17,23],cluster:[0,1,4,6,11,17,23],cluster_label:14,cm:[1,2,3,6,8,9,13],cmap:[0,1,2,3,4,6,8,9,10,23],cmap_arg:6,cmath:[],cmb:19,cmd:9,cmu:24,cn_:20,cnn:12,cnn_kera:3,cntk:[17,23],co:[0,2,3,6,9,13,23],code:[3,4,6,7,8,15,16,17,18,20,22],coef0:8,coef:[0,23],coef_:[0,5,6,8,9,13,23,24],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,18,23,24],coerc:[0,6,23],coin:[10,20],coin_toss:10,col:[0,11,23,24],colab:[17,23],cold:9,colinear:[0,24],collaps:8,collect:[0,2,6,10,11,17,20,22,23],collinear:[5,24],color:[0,3,4,6,8,9,10,20],color_channel:3,color_cod:6,colorbar:[1,6],colsample_bytre:10,colsaobject:10,colspec:[0,23],column:[0,1,2,5,6,7,8,9,11,12,18,23,24],columntransform:9,com:[3,4,6,14,17,22,23],combin:[1,2,5,6,7,10,20],come:[0,1,3,4,5,12,13,14,15,23,24],command:[0,1,23],comment:[0,4,5,6,15,16,23,24],commerci:[0,15,17,23],commod:[0,23],common:[0,1,3,5,6,7,9,11,13,14,20,23,24],commonli:[0,1,4,6,7,9,13,14,24],commun:[0,12],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,23,24],compair:0,compar:[0,3,4,5,6,11,13,15,16,18,23,24],comparison:[2,4,13],compat:[3,4,7,14],compet:[0,23],competit:10,compil:[0,1,3,4,13,15,17,18,23],complet:[0,2,3,4,9,12,23],completenn:12,complex:[1,5,8,9,11,12,13,15,16,23],complic:[0,1,9,13,23],compoment:24,compon:[0,1,3,4,5,6,7,9,14,16,17,23,24],components_:11,compos:[9,12,13,14,17,23],compphys:[0,6,17,19,21,22,23,24],compress:[0,23,24],compris:6,compromis:[5,24],compulsori:[17,23],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24],computation:[0,3,6,9,13,20,23],computationalscienceuio:23,con:[],concat:23,concaten:[2,4,6,14],concav:[1,9,13,24],concentr:[0,10,24],concept:[0,2,17,23,24],conceptu:[12,13],concern:[0,1,4,7,23],concic:23,conclud:[0,5,13],conclus:1,cond:[2,3,4,14],conda:[0,1,15,17,23],condis:24,condit:[0,2,4,5,6,8,9,11,13,20,23,24],conduct:[17,23],condwav:2,coneqp:[],confid:[0,5,6,7,8,23,24],config:[3,4,14],config_pb2:[],configur:3,confirm:[5,12],confus:[5,6,7,10,18,24],confusion_matrix:9,congruenti:20,conjug:[4,8],conjugaci:13,conjunct:3,connect:[0,1,3,4,9,11,12,13,18,23,24],consequ:[5,6,8,10,12,13,24],conserv:[5,14,24],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,18,20,23,24],consider:[0,1,5,13,23,24],consist:[0,1,2,3,4,6,12,13,20,24],constant:[0,2,3,4,5,6,8,12,13,14,20,23,24],constitu:[0,23],constitut:[2,6],constrain:[1,3,5,7,11],constraint:[5,6,8,13,24],construct:[0,1,2,3,5,6,7,8,9,10,11,18,20,23,24],contact:[0,23],contain:[0,2,3,4,5,6,7,8,9,11,12,13,14,18,20,22,23,24],contemporari:23,content:[1,17,18,23],context:[6,10,13],contigu:18,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,18,20,23,24],contour:[9,10,13],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,20,23,24],contributor:[0,23],control:[0,1,3,9,13,15,17,23],control_flow:[3,4,14],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],conv_general_dilated_patch:[3,4,14],convei:23,conveni:[0,5,6,12,13,18,23],convent:[12,24],converg:[1,2,4,5,6,7,8,11,13,14,24],convergencewarn:[1,6,7,8,11],convert:[0,1,3,4,5,9,11,13,14,18,23,24],convert_phas:[3,4,14],converter_error_data_pb2:[3,4,14],converttomatrix:4,convex:[4,5,7,24],convinc:13,convolut:[1,4,17,23],cool:[4,9],coolwarm:6,coordin:[5,12,14,24],coorel:[0,24],copi:[0,1,2,14,24],copyright:[3,4,14],core:[2,3,4,10,13,14,23],corel:23,coronari:7,corr:[0,5,7,11,24],correalt:[11,17],correct:[0,1,2,3,4,5,7,13,18,20,23,24],correctli:[1,2,6,7,10],correl:[0,1,3,5,6,7,10,12,13,17,20,23],correlation_matrix:[0,5,7,11,24],correspond:[0,3,5,6,8,9,11,12,15,16,17,18,20,23,24],cortex:12,cosin:[3,6],cost:[0,2,3,5,6,7,8,9,12,13,16,23],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:13,could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],coulomb:[0,23],count:[0,9,19,20,21,23],countor:13,coupl:[4,5,6],cours:[0,1,3,5,11,19,21,24],courvil:[19,22,23,24],cout:[],cov:[5,6,11,18,20,23,24],cov_xi:[5,11,24],cov_xx:[5,11,24],cov_yi:[5,11,24],covari:[0,7,17,18,23],covariance_matrix:[5,11,14,24],cover:[0,5,17,21,22,24],covert:[0,23],covxi:20,covxx:20,covxz:20,covyi:20,covyz:20,covzz:20,cpj4mh7m9no:[],cpu:[1,3,4,14],cpu_feature_guard:[],craft:3,crawford:23,creat:[1,2,3,4,5,6,9,10,11,12,13,17,23],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,24],credit:[0,7,21,23],crim:[0,24],crime:[0,24],criteria:[0,4,9,10,14,20,23],criterion:[9,10,13],critic:[6,23,24],cross:[0,1,3,7,9,10,13,17,20,23,24],cross_entropi:4,cross_val_scor:6,cross_valid:[7,10],crossvalid:6,crucial:[1,20],cs231:3,cs:[19,21],csr_matrix:[18,23],cstdlib:[],csv:[0,4,6,7,9,23],ctnk:1,ctx:[],cubic:0,cumbersom:5,cumsum:[10,11,23],cumul:[7,10,20],cumulative_heads_ratio:10,cup:5,current:[1,2,3,4,6,13,14,22],curs:[0,24],curv:[6,7,10,12],curvatur:13,custom:[6,14],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10],cvxbook:13,cvxopt:[5,8,24],cyber:[],cycl:[1,3,4,12,14],cyclotron:24,d1:[],d2:[],d2_g_t:2,d3:[],d670a873ab0c:[],d985fb40c43d:[],d:[1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,21,23,24],d_f:13,d_g_t:2,d_net_out:2,da:3,dagger:[5,18,24],dai:[1,9,17],dalen:[],damp:3,daniel:[21,23],darget:9,darkr:20,dat:[0,23],dat_id:[0,6,7,9,23,24],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,18,22],data_handl:[],data_id:[0,6,7,9,23,24],data_indic:1,data_modul:24,data_panda:23,data_path:[0,6,7,9,23,24],data_url:24,databas:1,databookuw:[],datafil:[0,6,7,9,23,24],datafram:[0,4,5,7,9,11,23,24],datapoint:[1,5,6,7,11,13,24],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,23,24],datatyp:4,date:[15,16,23,24],daughter:10,david:22,dbh:1,dbo:1,dcomposit:18,ddot:2,dead:1,deadlin:[16,19],deal:[0,1,3,5,6,8,11,13,14,18,20,23,24],dealt:0,debt:7,debug:[0,5,6],decad:[0,3,23],decai:[0,13,20,23],decemb:[19,21,23],decent:10,decid:[0,2,3,5,6,9],decim:[0,23],decis:[0,1,8,11,17,22,23],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],declar:[0,4,18,23],decompos:[5,6,18,24],decomposit:[0,6,12,23],decompost:[5,24],deconvolut:3,decor:[0,23],decorrel:[10,13],decreas:[1,2,4,5,6,10,11,13],deduc:[0,23],deep:[3,7,12,13,17,19,22,23,24],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,17,23],deeper:[0,3,4,23],deeplearningbook:22,deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,20,23,24],def_covari:20,def_funct:[],default_tim:4,defect:[5,24],defici:[5,24],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,24],definit:[1,2,5,6,7,8,10,11,12,13,18,20,24],defint:20,defun:[],defvjp:2,degre:[3,5,6,8,9,10,11,15,16,20,23],del:1,delet:6,delimit:4,deliv:[19,23],delta:[0,2,3,6,8,12,13,14,23],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,18],delta_h:[0,1,23],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:13,delta_n:[0,3,23],delug:17,delv:[0,23],demand:13,demonstr:[0,3,5,6,7,11,12,17,23,24],den:4,denomin:[1,5],denot:[1,2,6,7,13,20],dens:[1,3,4],dense_1:[],densiti:[0,2,6,20,23],depart:[21,23,24],depend:[0,1,2,4,5,6,7,8,11,12,13,15,17,18,20,23,24],depict:20,deploy:[0,15,17,23],deprec:[2,6,13,23,24],deprecate_nonkeyword_argu:[0,23],depth:[0,3,9,10,18],deriv:[0,1,2,6,7,8,10,11,13,16,17,23],derivati:13,derivative_fn:13,descend:[5,9,11,24],descent:[0,1,3,7,8,12,23,24],descr:24,describ:[0,2,4,5,6,8,10,11,12,13,18,23],descript:[0,8,9,23],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,23],designmatrix:[0,23],desir:[0,2,4,5,13,14,23,24],despit:[1,12],destroi:18,det:[5,18,24],detail:[0,6,11,13,14,18,24],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,18,20,23,24],determinist:[7,13,20],dev:1,develop:[0,3,5,8,10,11,12,17,18,23,24],deviat:[0,1,2,4,5,6,20,23,24],device_nam:[],devicearrai:[3,4,14],devis:12,df1:23,df:[4,8,11,13,23],di:[0,24],diag:[5,8,24],diagnost:[1,10],diagon:[0,5,7,13,18,20,23,24],diagonaliz:[5,24],diagram:10,diagsvd:6,dice:[6,20],dict:[6,8],dict_kei:24,dictionari:[0,24],did:[0,1,5,6,7,10,11,14,23],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,20,22,23,24],differenti:[0,3,16,17,18,23,24],differential_oper:[2,13],difficult:[0,1,6,10,13,20,23],difficulti:[0,1,13,23],diffonedim:2,digit:[0,1,3,4,6,19,21,23],dilemma:13,dilut:1,dim:[4,11,14,18],dimens:[0,1,2,3,4,5,8,9,11,14,16,18,23,24],dimension:[0,4,5,6,9,11,13,14,17,18,23],dimensionless:[0,3,23],diment:18,dimnsion:4,diod:3,direct:[0,1,2,4,11,12,13,14,23,24],directli:[1,4,5,6,20,24],directori:9,disabl:[3,4,14],disadvantag:[0,23],disappear:[3,6],disc_loss:4,disc_tap:4,discard:[6,11],disciplin:[0,3,12,23],disclaim:20,discord:23,discourag:[13,24],discov:[0,23],discover:5,discret:[1,3,5,7,13],discrimin:[4,7,10,11],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24],diseas:7,disguis:[6,24],disord:[1,7],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,20,23,24],displaystyl:[0,5,23,24],displot:24,disregard:[0,23],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,20,24],distance_list:9,distinct:[3,7,8,9,10,14],distinctli:8,distinguish:[0,4,7,8,20,23],distplot:[0,24],distribut:[0,1,4,6,7,10,11,13,14,15,16,17,18,23,24],distrubut:[0,15,17,23],div:[],dive:[0,8,18,23],diverg:[1,13],divid:[0,1,2,3,5,6,7,8,9,11,12,20,23,24],divis:[6,8,9,13,18,20],dna:7,dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,23],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,23],doc:[0,6,17,19,21,22,23,24],document:[4,7,11,13,24],doe:[0,1,2,3,4,5,6,8,10,11,12,13,16,18,20,23],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13],domin:[0,23],don:[0,1,3,5,6,8,11,13,15,17,23,24],done:[0,2,3,4,5,6,9,10,11,13,18,23,24],dot:[0,2,3,5,6,7,8,9,10,11,12,13,18,20,23,24],doubl:[3,4,18,23],doubli:1,down:[0,3,6,9,11,12,13,23],download:[0,1,3,5,6,18,22,23],downsampl:3,dozen:1,dq:6,drag:13,dramat:11,drastic:4,draw:[4,6,10,13],drawback:[0,1,3,13,24],drawn:[1,4,6,7,11,20,23],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,20,23,24],dropna:[0,6,23],dropout:4,ds:[],dt:[2,3,13,20],dtype:[0,1,2,3,4,14,18,23,24],dualiti:6,dub:[0,23],due:[1,2,5,6,8,10,12,13,21,23,24],dummi:[0,24],dure:[0,1,3,4,8,9,11,17,23],dwell:[0,24],dwh:1,dwo:1,dx:[2,3,8,20],dx_1:20,dx_1p:6,dx_2p:6,dx_mp:6,dx_n:20,dxp:6,dy:[1,8,20],dynam:4,dysth:[],dz:8,e7cu:[],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,21,23,24],e_:[0,2,23],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24],eager:[],eapprox:[0,23],earli:[1,13],earlier:[0,5,7,8,9,11,12,13,23,24],earthexplor:6,eas:[6,9,14],easi:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],easier:[5,6,8,9,13,20,23,24],easiest:13,easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,23,24],eastern:[21,23],ebind:[0,23],eblock:9,econometr:23,economi:5,ecosystem:[17,23],ect:19,edg:3,edgecolor:6,edu:[13,24],educ:[0,23,24],eface79dac2c:[],eff:20,effect:[1,4,10,13,20],effic:1,effici:[0,3,10,13,17,18,20,23],efron:6,egrad:13,eig:[5,11,13,18,20,23,24],eigen:20,eigenpair:[5,11,24],eigenvalu:[0,5,8,11,13,18,23,24],eigenvector:[5,11,13,24],eight:[18,23],eigval:[18,20,23],eigvalu:[11,13],eigvec:[18,20,23],eigvector:[11,13],eispack:[18,23],either:[1,5,6,7,8,9,10,11,13,15,16,20,23,24],ekstrom:[],elabor:20,elarn:3,electr:[0,3,12,23],electron:23,electur:[],eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,19,22,24],elementari:[10,13,18],elementwis:[3,13],elementwise_grad:[2,13],elessar:23,elif:[2,14],elim:18,elimin:[3,8],els:[1,2,3,4,7,9,12,13,18],elu:1,elus:[0,23],email:[19,21,23],embed:[0,11,24],embodi:6,emit:20,emner:22,emphas:[0,10,17,23],emphasi:[0,17,22,23],empir:[1,11,20],emploi:[0,1,5,6,11,13,20,23,24],employ:[0,23,24],empti:[6,10],emul:12,en:[17,22],enabl:11,enable_check:[3,4,14],enbodi:6,encapsul:[3,4,14],encod:[0,3,5,9,11,14,23,24],encompass:[0,20,23],encount:[0,1,5,6,7,13,20,23,24],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,23,24],end_box:[2,13],end_nod:[2,13],end_valu:[2,13],endl:[],endpoint:[3,6],energi:[0,4,6,24],enet_coordinate_desc:6,enforc:12,eng:22,engin:[0,1,3,4,17,23],english:[],enorm:3,enough:[0,6,13,23],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,20,24],ensure_initi:[],entail:23,enter:[5,6,24],enthought:[0,15,17,23],entir:[1,3,7,9,17,20,23],entiti:[9,12,18,23],entri:[0,5,8,11,12,18,23,24],entropi:[1,3,7,10,13,23],enumer:[0,1,2,3,4,6,8,23,24],env:[0,1,2,3,4,6,7,8,11,13,14,20,23,24],environ:[2,17],eo:[0,6,23],eol:[0,23],eosfit:[0,23],epoch:[0,1,3,4,12,13,23],epsilon:[0,5,6,7,13,23,24],epsilon_0:[0,23],epsilon_1:[0,23],epsilon_2:[0,23],epsilon_:[0,23],epsilon_i:[0,23,24],eq:[3,13,14,18,20],eqnarrai:[3,5,6],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,18,20,23,24],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,18,20],equilibrium:[2,12],equiv:[3,13,18,20],equival:[0,1,5,7,8,11,13,17,18,23,24],erf:20,eriador:23,eridg:23,err:[0,10],err_:6,err_sqr:2,errat:13,errno:9,erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,20],error_estimate_corr_tim:20,error_handl:[],error_hidden:1,error_output:1,escap:13,especi:[1,3,9,12,13],essenti:[0,5,6,9,10,12,14,20,24],establish:[0,6,10,11,15,23],estim:[0,1,5,6,7,10,11,13,17,20,23,24],estimated_mse_fold:6,estimated_mse_kfold:6,estimated_mse_sklearn:6,et:[0,2,4,15,16,22,23,24],eta0:[8,13],eta:[0,1,3,8,12,13,23],eta_:13,eta_t:13,eta_v:[0,1,3,23],etc:[0,1,3,5,7,8,9,11,12,13,14,15,17,18,20,24],ethic:[17,23,24],etsim:[],euclidean:[0,14,24],evalu:[0,2,3,4,5,6,9,13,20,23,24],evalut:13,even:[0,1,3,4,5,6,8,9,10,11,12,13,14,17,18,20,23,24],evenli:4,event:[3,4,5,7,10,14,20],eventu:[0,5,6,11,12,13,21,24],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,17,20,21,23,24],everyth:[4,12],everywher:[4,13],evolv:[0,23],exact:[0,2,5,11,12,13,18,20,23,24],exactli:[0,3,4,6,12,17,24],exam:23,examin:6,exampl:[5,11,12,13,15,16,17,18,20,22],exce:[1,12,13],excel:[0,1,4,5,10,23,24],except:[2,3,4,6,8,9,14,18],excess:[0,23],excit:[0,23],exclud:[1,6,12,24],exclus:[0,1,3,6,20,23],execut:[2,5,13,24],executing_eagerli:[],exemplifi:13,exercic:[21,23],exercis:[5,17,19,21],exhaust:6,exhibit:[0,5,6,8,23,24],exist:[0,1,2,3,5,6,7,8,9,13,18,23,24],exit:[5,18,24],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,20,23,24],exp_term:1,expand:[5,7,11,13,24],expans:[0,3,5,8,10,12,13,23,24],expect:[0,1,5,6,7,11,12,13,15,16,17,23,24],expectation_value_of_h_wrt_p:20,expens:[6,10,13],experi:[0,1,6,8,13,17,23,24],experiment:[0,3,4,6,9,14,20,23],experimental_get_tracing_count:[],expert:[1,9],explain:[0,6,9,10,11,13,23],explained_variance_ratio_:11,explanatori:[0,23],explicit:[0,3,6,13,18,23,24],explicitli:[0,4,23],explod:1,exploit:[0,3,12,13,23],explor:[1,4,6,8,13,17],expon:1,exponenti:[0,1,5,6,10,13,20,23],export_graphviz:9,export_text:9,exporttext:9,expos:[17,23],express:[0,2,3,5,6,7,10,12,13,16,18,20],exptmean:20,exptvari:20,extend:[0,2,7,11,13,17,23],extens:[0,12,15,17,23],extent:[0,1,6,22,23],extern:[3,6,9],extra:[1,3,5,21,23,24],extract:[0,3,5,6,7,8,11,13,18,23,24],extrapol:[0,23],extrem:[0,1,4,5,6,7,8,9,13,16,18,24],extremum:13,extrins:11,ey:[0,5,6,13,14,18,23],f11:[0,23],f12:[0,23],f13:[0,23],f1:13,f1_grad:13,f1d:13,f2:13,f2_grad_x1:13,f2_grad_x1_analyt:13,f2_grad_x2:13,f2_grad_x2_analyt:13,f3:13,f3_grad:13,f3_grad_analyt:13,f3ckh:[],f401:[3,4,14],f4:13,f4_grad:13,f4_grad_analyt:13,f5:13,f5_grad:13,f6:13,f6_for:13,f6_for_grad:13,f6_grad_analyt:13,f6_while:13,f6_while_grad:13,f6d7a289d493:[],f7:13,f7_grad:13,f7_grad_analyt:13,f8:13,f8_grad:13,f9:[0,13,23],f9_altern:13,f9_alternative_grad:13,f9_grad:13,f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,20,21,23,24],f_0:[3,10],f_1:[10,13],f_2:[12,13],f_3:12,f_:10,f_d:20,f_grad:13,f_grad_analyt:13,f_i:[0,6,12,16],f_m:[3,10],f_n:3,f_raw:[],f_vec:2,f_wrap:2,face:13,facecolor:[6,8,20],facil:[0,15,17,23],facilit:12,fact:[0,1,3,5,9,11,12,13,23,24],factor:[0,1,3,5,6,9,10,11,13,18,20,23,24],factori:13,fade:6,fafab0:[9,10],fahimeh:[21,23],fail:[0,6,7,8,11,13,21,23],failur:7,fairli:[1,2,20],fake:4,fake_loss:4,fake_output:4,fall:[8,9,19],fals:[0,1,2,3,4,5,6,7,9,10,14,18,23,24],famili:[0,7,8,20],familiar:[0,3,5,6,8,15,17,18,20,23],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,23,24],fashion:[0,9,10,23],fast:[1,3,6,10,12,13,17,20,23],faster:[1,11,13],fastest:[13,18],favor:7,favorit:20,fc:3,fdf8a5d7c717:[],fdfcc778e1f8:[],fe5b9d300cc0:[],featur:[0,1,3,5,6,7,8,10,11,12,13,17,20,23],feature_nam:[0,1,7,9,24],feautur:9,fed:1,feed:[0,2,3,11,17,23],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,23],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,17,21,23],feet:[0,24],fei:23,fetch:[6,24],fetch_california_h:24,fetch_openml:24,few:[1,3,4,5,9,20,23],fewer:[0,9,11,23],ffnn:[1,12],fft2:[3,4,14],fft:[3,4,14],fft_batching_rul:[3,4,14],fft_p:[3,4,14],fftfreq:[3,4,14],fftn:[3,4,14],fftshift:[3,4,14],fgakzw6k1qq:[],field:[0,3,6,12,17,23],fifth:[0,6,15,16,23],fig:[0,1,2,3,4,6,7,12,13,14,23],fig_id:[0,6,7,9,23,24],figaxi:20,figsiz:[0,1,2,3,4,6,7,8,9,10,23,24],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,23,24],figure_id:[0,6,7,9,23,24],figurefil:[0,6,7,9,23,24],file:[0,2,3,4,5,6,7,9,13,14,23,24],file_prefix:4,filenam:[23,24],filenotfounderror:9,fileout:[],filepath_or_buff:[0,23],fill:[5,9,24],filter:[3,4],filtered_flat_arg:[],filtered_tb:[],financ:[0,23],find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,20,23,24],find_top_boxed_arg:[],fine:[0,14,15,23],finish:2,finit:[3,5,6,12,13,20,24],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,22],firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,20,24],fit_beta:[6,24],fit_intercept:[0,5,6,24],fit_mod:9,fit_transform:[0,6,8,9,11],fiti:[0,23],five:[0,9,23,24],fix:[0,3,4,6,10,11,12,13,23],fixedformatt:6,fixedloc:6,fkkt:[],flag:4,flake8:[3,4,14],flat:[12,13],flatbuff:[],flatten:[1,3,4,5,18],flexibl:[1,6,8,10,12,23,24],flip:[21,23],float32:[4,9],float64:[4,18,23,24],flop:[5,18,24],flow:[1,4,12],fluctuat:5,fly:11,flyvbjerg:[],fm:[0,23],fma:[],fmax:3,fmesh:13,fn:7,focu:[0,3,4,5,6,15,17,22,23,24],focus:[1,6,7,18,24],fold:[6,9],folder:[0,1,4,6,13,23],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24],font:[0,7,20,23],fontdict:20,fontsiz:[1,6,8,9,10,20],fontweight:1,footprint:3,foral:[8,24],forc:[0,5,6,10,11,23,24],forcast:4,forecast:[4,12],forelesningsvideo:[],forest:[0,1,9,17,23],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,18,20,23,24],formal:[3,4,14,20],format:[0,1,2,3,4,6,7,8,9,10,11,17,20,22,24],format_data:4,formatstrformatt:[6,13],formul:[4,6,11,14],formula:[3,13,20],forth:[4,12],fortran2003:[17,23],fortran90:20,fortran:[0,15,17,18,23],fortun:[0,11,24],forward:[0,3,6,17,18,23],forward_backward:[],forward_compatibility_horizon:[3,4,14],found:[1,2,4,5,6,12,13,23,24],foundat:[17,23],four:[4,5,6,8,12,18,19,21,23],fourier:[0,23],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,23,24],fp:7,fr:[],frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],fractal:9,fraction:9,frame:[7,23],framework:[1,8,10,20],frank:[5,11],frankefunct:[5,6,11,24],fredli:[21,23],free:[0,6,11,13,15,16,17,18,20,21,22,23],freecodecamp:17,freedom:5,freeli:[0,23],frequenc:[3,6,7,20],frequent:[0,8,9,13,23],frequentist:17,fresh:10,frida:[],fridai:[16,21,23],friedman:[6,19,22,23,24],friendli:4,frodo:23,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,20,21,22,23],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,23,24],fstream:[],fulfil:[2,5,12,24],full:[0,1,3,5,7,9,10,13,20,23,24],full_matric:[5,24],fulli:[3,6,12,19,20],fun:[2,13,17,23],fun_nam:2,func:[0,2,23,24],functionali:11,functool:[3,4,14],fundament:[0,6,17,23],funtion:2,further:[2,7,9,23],furthermor:[0,3,5,6,7,11,12,13,17,23,24],futur:[0,4,8,9,23,24],futurewarn:[0,23,24],fx:[],fy:[15,19,21,22,23],fys5419:[22,23],fys5429:[22,23],g0:2,g42mrgv128v34gnnhxwk9nrc0000gp:[],g:[0,1,2,3,4,6,8,9,10,11,13,14,20,23],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,24],galleri:[0,23],game:4,gamge:23,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,23],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,23],gamma_i:[0,8,20,23],gamma_j:13,gamma_k:13,gamma_m:10,gamma_x:[0,23],gap:[6,8],gate:[4,12],gather:[0,1,12,24],gaug:12,gaussbacksub:18,gaussian:[4,5,6,8,14,20],gaussian_point:14,gaussian_rbf:8,gave:13,gbc:[19,23],gca:[2,6,8,13],gd:1,gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:13,gdregress:10,ge:[1,5,7,20,24],gemv:[],gen:[],gen_loss:4,gen_tap:4,gender:[0,23],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,18,20,22,24],generallay:12,generate_and_save_imag:4,generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genexpr:[],genom:17,geodes:11,geometr:[0,13,23],geometri:5,georg:22,geotif:6,geq:[2,5,8,9,13,24],geron:[0,15,19,22,23],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,17,18,20,21,23,24],get_dummi:9,get_loc:[],get_next_color:[],get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getattr:2,getsolutionslic:[],getval:[],gg:[],gibb:[17,23],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,17,23],giter:13,github:[0,3,4,6,14,15,17,19,21,22,23,24],gitlab:[0,15,17,23],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,20,23,24],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],global:[6,7,13],glorot:1,gmail:[],gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,24],goal:[0,7,9,23],goe:[0,1,2,5,6,13,14,18,23,24],golden:13,gone:[5,24],gong:1,good:[1,3,4,5,6,9,10,11,13,17,20,22,24],goodfellow:[4,19,22,23,24],googl:[1,3,4,14,17,23],got:[1,6],gov:6,gp:22,gpu:[1,13,17,23],grad:[2,13],grad_analyt:13,grade:19,gradient:[0,3,4,7,8,9,12,17,23,24],gradient_desc:[],gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6],graph:[1,9,11,12,13],graph_debug_info_pb2:[],graph_from_dot_data:9,graph_funct:[],graphic:[0,1,9,23],grasp:[0,23],gray_r:[1,3],grayscal:3,great:[5,13],greater:[1,7,20],greatli:13,greedi:9,green:[0,3,9,20],grei:4,grid:[1,3,6,7,8,12,20,24],grossli:13,ground:[0,23],group:[0,6,7,9,14,17,19,21,23],groupbi:[0,23],grow:[1,3,9,10],growth:[0,23],gru:4,guarante:[0,4,13,20,23,24],guess:[1,4,10,13,14],guestrin:10,guid:1,guilherm:[],h1:2,h21:[],h:[0,1,5,6,8,13,16,20,21,22,23,24],h_1:[2,13],h_2:[2,13],h_:[0,13,23],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],haa:[21,23],habit:[0,24],had:[0,1,6,7,13,23],hadamard:[1,12,13],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,17,18,19,20,21,22,23,24],handi:3,handl:[0,1,2,5,9,11,17],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5,23],handwrittennot:23,happen:[1,2,3,4,5,6,10,13,20,24],hard:[1,7,8,10,13],hardcopi:[17,23],harder:[0,1,24],harmon:3,hasn:1,hassl:[0,15,17,23],hast:[17,23],hasti:[0,6,15,16,19,22,23,24],hat:[0,1,5,6,7,9,10,11,12,13,18,24],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,24],haven:1,hdtta7prrfi:[],he:7,head:[0,4,10,20,24],header:[0,23,24],heads_proba:10,health:[0,24],hear:[0,13,23],heart:[0,7,23],heatmap:[0,1,3,7,23,24],heavili:[0,23],heavisid:1,height:[1,3,6,24],held:13,help:[0,1,4,12,13,16,23],helper:[4,14],henc:[0,5,6,8,9,10,12,13,23,24],henrik:[21,23],her:7,here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],hereaft:[0,8,12,23],hermitian:18,hessenberg:18,hessian:[0,2,5,13,16],heterogen:[9,10],hfft:[3,4,14],hi:7,hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,23],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,24],high:[0,1,2,3,4,5,6,9,10,11,13,14,17,18,23,24],higher:[0,1,3,5,6,8,13,23,24],highest:[1,2],highli:[0,3,4,10,17,18,22,23,24],highwai:[0,24],hing:8,hint:[13,16,24],hip:17,hire:[0,23],hist:[4,6,7,20],histogram:[0,6,7,20,24],histor:[7,11],histori:[3,4,12],histplot:24,hit:[],hitherto:5,hjorth:[21,23,24],hm6ay5ds6o0:[],hobbi:20,hoc:[5,24],hoff:22,hold:[1,3,6,13,14],holder:[0,23],holomorphic_grad:[2,13],home:[0,24],homepag:23,homework:[6,13],homogen:[1,3,9,10,13],honchar:2,hopefulli:[0,11,20,23],horizont:11,hors:[3,7],hot:[1,9],hour:[1,17,19,20,21,23],house_pric:24,how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,20,23,24],hs:[],hspace:[0,4,8,10,20,23],hstack:[1,24],htf:[19,23],html:[0,7,11,17,19,21,22,23,24],http:[0,3,4,6,7,11,13,14,17,18,19,21,22,23,24],huang:[0,23],huber:[0,23],huge:[1,3,4,17],human:[0,1,3,6,9,12,23,24],humid:9,hundr:1,hungri:1,hybrid:19,hydrogen:[0,23],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,23,24],hyperplan:11,i0:[0,23],i1:[0,6,8,12,23,24],i2:[0,8,12,23],i3:[0,12,23],i5:[0,23],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24],i_1:[5,6],i_2:[5,6],i_:13,ian:22,ic:1,id:[7,13],ida:[21,23],idea:[0,1,2,3,4,6,9,10,12,13,18,23,24],ideal:[0,2,6,8,13,20,23,24],idem:6,ident:[5,6,12,13,18,24],identical:[],identifi:[0,1,7,9,11,12,13,14,23,24],idum:[],ieor:20,ifft2:[3,4,14],ifft:[3,4,14],ifftn:[3,4,14],ifftshift:[3,4,14],ifi:22,ifs:[17,23],ignor:[0,1,3,9,24],ihfft:[3,4,14],ii:[18,20],iii:[18,23],ij:[0,1,3,6,8,12,14,16,18,20,23,24],ik:[0,18,23,24],illustr:[5,7,10,12,13,14,17,23],im:6,imag:[1,3,4,6,9,11,12,14,22,23],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,23,24],image_width:3,imageio:6,imagenet:23,images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,17,23],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,20,23,24],impli:[3,5,6,7,13,18,24],implicit:3,implicitli:[11,20],importantli:3,importerror:[3,4,14],impos:[0,6,11,12,23],imposs:[0,5,23,24],impress:[0,12,23],improv:[0,4,5,9,10,11,13,24],impur:9,imread:6,imshow:[1,3,4,6],in1:2,in2:2,in3050:[22,23],in3310:23,in4080:[22,23],in4300:[22,23],in4310:22,in5400:3,in5550:22,in_out_neuron:4,inaccur:13,inacio:[],inact:12,inadequ:[0,23],inch:[6,24],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,22,23,24],include_bia:[6,9],incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,7,8,9,11,12,13,20,23,24],increasingli:20,ind:6,inde:[0,2,4,5,6,13,23,24],indefinit:4,indent:[],indentationerror:[],independ:[0,5,6,7,8,12,13,20,23,24],index:[0,1,3,4,10,14,17,18,20,22,23,24],index_col:[0,23],index_of:[],indic:[0,1,3,4,5,6,9,10,11,13,16,23,24],indispens:6,individu:[1,6,7,10,12,20,23,24],indu:[0,24],indx1:2,indx2:2,indx3:2,indx:18,ineffici:[3,13],inequ:[8,13],inequaltii:[],inertia:13,inf1000:[17,23],inf1100:[17,23],inf1100l:[17,23],inf1110:[17,23],inf3000:23,inf4490:[],inf5860:[],infeas:9,infer:[0,1,4,6,22,23],infer_nrow:[0,23],inferenc:1,infil:[0,6,7,9,23],infin:[5,6,7,11,24],infinit:3,infinitesim:20,influenc:[6,10],influenti:1,info:23,inform:[0,1,3,4,6,9,11,12,13,14,18,22,23],infti:[3,6,13,20],ingeni:13,ingrad:2,ingredi:[0,9,23],inher:6,inherit:[18,23],initi:[0,1,2,3,4,6,10,13,14,18,20,23],initial_epoch:[],initialis:[],initialize_root:[],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],inner:[0,13,24],innov:[],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,20,23,24],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,24],insert:[3,5,6,8,10,20,24],insid:[0,4,7,24],insight:[0,1,5,17,23,24],insist:[6,13,24],inspir:[0,1,12,23],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,23,24],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,18,20,23,24],institut:1,instruct:[0,1,15,16,23],int32:10,int64:24,int64index:23,int_0:20,int_:[3,6,20],int_a:20,intak:[0,24],integ:[1,2,13,14,18,20,23],integer_vector:1,integr:[3,6,20,23],intellectu:23,intellig:[0,14,22,23],intend:[10,23],intens:1,intention:14,interact:[0,6,9,12,17,23],intercept:[0,6,8,11,13,16,23],intercept_:[0,6,8,9,13,23,24],interchang:[5,12,18],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,17,20,23,24],interfac:[0,1,18,24],interior:[0,9,23],intermedi:[18,24],intern:[1,10,12],interpol:[1,3,4,6,12],interpr:[5,24],interpret:[0,1,3,4,6,9,10,12,13,14,18,20],interv:[0,3,5,6,7,13,20,23,24],intial:13,intract:[0,4,24],intrins:[3,11,18,20,23],intro:[17,22,23],introduc:[0,1,5,6,8,10,12,18,20,23],introduct:[1,2,4,13,22,24],introductori:[0,4,18,22,23,24],intuit:[0,5,6,8,12,13,23],inv:[0,5,13,23,24],invalid:[1,8],invalu:[0,13,15,17,23],invari:1,invd:5,inver:8,invers:[0,3,6,13,15,16,23,24],invers_period:[],inverse_transform:8,invert:[0,5,7,10,13,23],invh:13,invok:[0,8,24],involv:[0,2,6,7,11,12,24],io:[0,17,19,21,22,23,24],iomanip:[],iostream:[],ip:[0,8,20,23],ipca:11,ipykernel_20528:1,ipykernel_20614:6,ipykernel_20669:13,ipykernel_20702:23,ipykernel_41811:[],ipykernel_42331:[],ipykernel_42376:[],ipykernel_42449:[],ipykernel_42456:[],ipykernel_42530:[],ipykernel_42541:[],ipykernel_42553:[],ipykernel_42573:[],ipykernel_42580:[],ipykernel_42586:[],ipykernel_47411:[],ipykernel_47448:[],ipykernel_47647:[],ipykernel_47724:[],ipykernel_47735:[],ipykernel_65914:[],ipykernel_9414:[],ipykernel_94478:[],ipykernel_94529:[],ipykernel_94582:[],ipykernel_96694:[],ipynb:[17,23],ipython:[0,5,7,9,11,14,15,17,23,24],iq:6,irfft2:[3,4,14],irfft:[3,4,14],irfftn:[3,4,14],iri:[8,9],irreduc:6,irrelev:[5,24],irrespect:[0,23],is_integ:[],isbox:[2,13],iscomplexobj:[],isinst:[],isn:5,isnul:[0,24],isomap:11,isotop:23,issu:[1,3,4,9,14,18,24],it_arrai:13,item:[0,13,23],items:[18,23],iter:[1,2,4,6,7,8,11,13,14,20],itr:[],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23],itself:[5,6,12,20,24],ix:[],j1:18,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,18,20,22,23,24],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknavg:[],jackknif:[6,17,23],jackknstd:[],jackknvar:[],jackknvec:[],jacobian:[2,13],jacobian_shap:2,jakobsen:[21,23],jargon:[],jason:4,jax:[3,4,14,17,23],jaxlib:[3,4,14],jensen:[21,23,24],jerom:22,jhfgq77fpq:[],ji:[12,18],jit:13,jj:[0,5,6,23],jk:[0,1,6,12,18,23],jl:[0,23],jm:18,jnp:[3,4,13,14],joao:[],joaogca:[],job:[2,8,10],join:[0,4,6,7,9,23,24],joint:[4,5],journal:[],judg:13,judgement:6,julia:[17,18],jump:20,junk:4,jupit:23,jupyt:[0,15,17,22,23],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,20,23,24],justif:[0,23],justifi:[3,10],jy:[],jydg2xzka5:[],k0:7,k1:7,k:[0,1,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,23,24],kaggl:6,kappa_d:20,karim:[],karl:[21,23],karlsen:[],karush:8,kate:23,katrin:[21,23],keep:[0,1,4,5,6,11,13,14,18,23,24],keepdim:[1,6,10,18],kei:[0,1,3,6,12,24],kept:[4,6,14],kera:[0,4,17,23],kernel:[0,1,3,17,23,24],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,23],kevin:[22,23],keyboardinterrupt:2,keyerror:2,keyword:[6,13,18,23],kfold:6,kg:1,ki:18,kick:[1,13],kiener:2,kilomet:[6,24],kind:[0,2,3,4,8,12,13,14,23,24],kj:[6,12,18,24],kjm:[17,23],kkt:8,kktsolver:[],kl0m3:[],kl:20,km:[12,23],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,17,23,24],knowledg:[0,17,23],known:[1,3,4,5,6,7,8,9,12,18,20,22,24],kondev:[0,23],kp:20,kpca:11,kroneck:14,kuhn:8,kutz:[],kvalsund:[21,23],kwarg:[0,2,13,23],kwd:[0,23],kwown:[0,23],l0:7,l1:[0,1,3,7,23],l1_l2:[1,3],l1regl:5,l1regls_mosek2:[],l1regls_mosek:[],l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,18,20,23,24],l_1:7,l_2:[7,13],l_:18,l_j:12,la:13,la_i:12,la_k:12,lab:[17,23],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,17,18,20,23,24],label_prob:[],labelencod:[7,10],labels:[6,8,9],labels_shuffl:[0,1,24],laboratori:[19,24],lack:[0,23],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,20,23,24],lambda_0:11,lambda_1:[5,8,11,24],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,24],lamda:1,lamdbda:[],land:[0,8,24],landmark:8,landscap:13,langl:[0,6,11,20,23,24],languag:[0,1,4,8,15,17,18,22,23],lapack:[18,23],laplac:5,laptop:17,larg:[0,1,2,4,5,6,8,9,10,11,13,15,17,18,20,22,23,24],larger:[0,3,5,6,8,10,11,13,20,23,24],largest:[4,8,11],lasso:[0,7,17,23],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,18,20,21,23],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,6,7,8,12,13,14,15,17,23],latest:[4,17],latest_checkpoint:4,latex:23,latter:[0,3,6,7,8,11,13,16,18,20,23,24],lattic:12,law:[0,23],lax:[3,4,14],layer:[0,4,13,14,23],lbfg:[7,9,10,11],lcc:[5,6],lda:11,ldot:[0,6,11,23],le:[5,7,10,13,20,24],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,18,20,23,24],leaf:9,leaki:1,leakyrelu:4,lear:13,learn:[3,4,5,6,7,8,9,10,12,18,19,21,22],learnabl:3,learner:10,learnig:23,learning_r:[8,10],learning_rate_init:[0,1,23],learning_schedul:13,least:[0,2,7,8,10,11,15,16,17,18,20],leat:13,leav:[0,1,3,5,6,9,11,23],lectur:[0,1,5,10,11,12,13,15,17,18,19,21,22],lecturenot:[0,17,22,23],lecturenovember11:[],lecturenovember12:[],lecturenovember19:[],lecturenovember25:[],lecturenovember26:[],lecturenovember4:[],lecturenovember5:[],lectureoctober14:[],lectureoctober15:[],lectureoctober1:[],lectureoctober21:[],lectureoctober22:[],lectureoctober28:[],lectureoctober29:[],lectureoctober7:[],lectureoctober8:[],lectureseptember10:[],lectureseptember16firstpart:[],lectureseptember16secondpart:[],lectureseptember17:[],lectureseptember23:[],lectureseptember24:[],lectureseptember2:[],lectureseptember30:[],lectureseptember3:[],lectureseptember9:[],lecturethursdayaugust26:[],lecturethursdayaugust27:[],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,23,24],len:[0,1,2,3,4,5,6,8,9,10,11,12,18,23,24],len_index:[0,23],length:[0,1,2,3,4,8,9,13,16,17,23,24],length_of_sequ:4,leq:[0,5,7,8,13,14,20,23,24],less:[0,1,3,4,5,6,8,9,13,17,20,23,24],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],letter:[0,16,18,20,23,24],level:[0,1,5,6,9,17,18,19,21,23,24],li:[8,11,23],lib:[0,1,2,3,4,6,7,8,11,13,14,23,24],liblinear:[8,10],librari:[0,1,2,3,4,5,6,9,10,11,15,18,20,22,24],licens:[0,1,3,4,14,15,17,23],lie:[0,6,11,20,24],life:[0,1,8,12,23],lifetim:13,like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,20,23,24],likelihood:[0,1,5,9,23,24],lim_:20,lima:[21,23],limit:[0,5,6,7,8,11,12,18,23,24],lin_clf:8,lin_model:[0,24],lin_reg:9,linalg:[0,2,3,4,5,6,8,11,13,14,18,20,23,24],line1:8,line2:8,line2d:13,line3:8,line:[0,2,3,4,6,8,9,10,11,13,14,15,23,24],linear:[1,3,5,6,7,9,10,11,12,17,20],linear_model:[0,5,6,7,8,9,10,11,13,23,24],linear_regress:6,linear_util:[3,4,14],linearli:[5,24],linearloc:[6,13],linearregress:[0,6,7,9,23,24],linearsvc:8,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10],link:[0,4,9,12,17,21,23],linlag:5,linpack:[18,23],linreg:[0,23],linspac:[0,2,3,4,6,8,9,10,13,15,16,18,20,23,24],linu:4,linuek:[],linux:[0,1,15,17,23],liquid:[0,23],list:[0,1,2,3,4,9,17,23,24],listcomp:2,listedcolormap:[9,10],lite:[3,4,14],lite_const:[3,4,14],literatur:[1,7,14,22],littl:[1,3,9,12],live:8,ll:[0,20,23,24],llc:[3,4,14],lle:[0,24],lloyd:[4,14],lmb:[0,2,5,6],lmbd:[0,1,3,23],lmbd_val:[0,1,3,23],lmbda:13,ln:[1,13],lo:[],load:[0,1,4,6,7,9,10,24],load_boston:[0,24],load_breast_canc:[1,7,9,10,11],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],loc:[0,3,6,7,8,9,10,23],local:[0,1,2,3,7,12,13,23,24],locat:[2,3,8],lock:[],log10:[0,2,5,6],log1p:2,log:[0,1,2,3,4,5,6,7,9,10,11,13,14,18,23,24],log_:[0,23],log_clf:10,logarithm:[0,5,7,18,23],logic:[0,1,9,23],logist:[0,1,2,8,9,10,11,12,13,17,24],logistic_predict:[],logisticregress:[7,9,10,11],logit:7,logreg:[7,9,10,11],logspac:[0,1,3,5,6,23],longer:[2,3,8,10,14,18,20,23],loocv:6,look:[0,1,2,3,4,5,6,7,8,9,10,11,13,18,20,23,24],lookup:[3,4,14],loop:[1,4,6,10,12,14,17,18,23],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,18,23],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,24],low:[0,6,9,10,11,23,24],lower:[0,1,3,6,9,10,16,18,24],lowercas:[18,23],lowest:[9,13,20],lr:[1,3,4,10],lstat:[0,24],lstm:4,lstm_2layer:4,lstsq:[0,23,24],lt:6,lu:[0,3,4,5,14,23,24],lubksb:18,luckili:2,ludcmp:18,lux:18,lvert:1,lw:[0,23],m:[0,1,2,3,5,6,8,9,10,11,12,13,18,19,20,21,22,23,24],m_1:14,m_:[9,12],m_h:[0,23],m_k:14,m_l:12,m_n:[0,23],m_p:[0,23],m_t:13,ma:11,mac:[3,4,14],machin:[1,3,4,5,6,7,9,10,11,12,14,15,18,19,22,24],machinelearn:[0,6,17,19,21,22,23,24],machinelearningmurphi:[],mackai:22,made:[0,1,3,4,5,6,7,9,11,12,23,24],mae:[0,23],magic:4,magnitud:[1,6,7,13,24],mai:[0,1,2,3,5,6,7,8,9,11,12,13,17,18,20,24],mail:[19,21],main:[0,1,3,4,5,6,7,9,18,22,23,24],mainli:[0,5,6,7,9,23,24],maintain:[6,24],major:[1,6,9,10,13,18,23],make:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,22],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,24],make_vjp:[2,13],makedir:[0,6,7,9,23,24],makeplot:[0,23],malcondit:18,malign:[1,7,9],mammographi:5,manag:[0,2,3,15,17,23],mandatori:[21,23],mani:[0,1,3,4,5,6,7,8,9,11,13,14,17,18,20,22,23,24],manifold:11,manner:3,manual:[6,24],map:[0,1,2,3,4,6,7,8,11,12,14,20,23],margin:[0,5,8,23],mari:[],marit:[0,23],mark:23,marker:[0,7,18,23,24],markov:[17,23],marsaglia:20,mask:[],mass:[0,1,5,13,24],massag:[0,23],masses2016:[0,23],masses2016ol:[0,23],masses2016tre:0,masseval2016:[0,23],master:[6,19,21,23],mat1100:[17,23],mat1110:[17,23],mat1120:[17,23],mat3155:[],mat4155:[],mat:[17,23],match:[0,1,4,5,13,14,23,24],materi:[4,5,7,13,18,21],math:[3,7,12,13,18,20,22,23],mathbb:[0,4,5,6,7,8,11,12,13,14,18,20,23,24],mathbf:[0,5,6,7,8,13,18,23,24],mathcal:[1,5,6,7,13],matheemat:3,mathemat:[0,6,11,12,13,17,18,20,22,23],mathemati:23,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,20,23,24],matmul:[1,2,5],matmul_adjoint_1:[],matmul_vjp_0:[],matmul_vjp_1:[],matnat:22,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24],matplotlibdeprecationwarn:[6,13],matric:[0,1,3,4,6,7,8,11,13,16,17,24],matrix:[0,2,3,4,6,7,8,10,13,15,16,20],matshow:1,matter:[2,3,13,24],max:[0,1,2,3,4,9,10,12,13,21,23],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,7,8,11,13,23],max_iter:14,max_leaf_nod:10,max_queue_s:[],max_sampl:10,maxdegre:[0,6,10,24],maxdepth:10,maxim:[1,4,5,7,8,11],maximum:[0,1,2,3,5,7,8,9,10,13,14,23,24],maxpolydegre:[5,6],maxpooling2d:3,mbox:[5,6,24],mc:[],mccorduck:23,mcculloch:12,mcint:[],mcintsqr2:[],md:11,mdoel:4,mdyt6uwokt0:[],mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20],mean_absolute_error:[0,23],mean_divisor:14,mean_i:20,mean_matrix:14,mean_squared_error:[0,4,6,7,10,23,24],mean_squared_log_error:[0,23],mean_vector:14,mean_x:20,meaning:[0,4,7,23],meansquarederror:[0,23],meant:[2,3,7,10,13],meantempvec:[],meanvec:[],measur:[0,1,2,5,6,9,11,12,14,20,23,24],mechan:[0,4,20,23],median:[0,23,24],medicin:12,medium:[4,8,13],medv:[0,24],meet:[0,21],mehta:[0,23,24],memori:[3,4,11,12,13,18,23],mention:[0,12,13,20,23],mere:[0,15,23],mersienn:[],meshgrid:[2,5,6,8,9,10,11,24],messag:[5,13],messi:2,met:[0,3,8,23,24],metadata:2,meteorolog:9,meter:[6,24],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,20,22,23,24],metion:6,metric:[0,1,3,4,6,7,9,10,14,15,16,23,24],metropoli:[17,23],mev:[0,20,23],mgd:13,mglearn:[17,23],mgrid:13,mhjensen:[1,2,3,4,6,7,8,11,14,24],mi:10,mia:[21,23],michigan:[23,24],microsoft:22,mid:1,midel:4,midnight:16,midpoint:9,might:[0,1,2,4,6,9,13,24],mild:9,miller:[],millimet:[6,24],million:[0,23,24],mimic:12,min:[0,2,5,8,9,23],min_:[0,2,5,14,23,24],min_samples_leaf:9,mind:[0,6,13,23,24],mindboard:4,mine:[17,23],mini:[1,11,12,13],minibatch:[1,11,13],minibathc:13,miniforge3:[0,1,2,3,4,6,7,8,11,13,14,23,24],minim:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,24],minima:[0,1,7,13,23],minimum:[0,1,2,6,8,9,11,13,24],minmaxscal:[0,24],minor:[6,13,20],minst:1,minu:7,mirror:9,misc:6,misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10,24],mistak:4,mit:22,mix:[1,2,23],mixtur:13,mk48pfcxgyk:[],mk:[9,18],mkdir:[0,6,7,9,23,24],ml:[0,1,10,13,18,24],mlab:20,mle:[5,7],mline:[],mlir:[],mlir_graph_optimization_pass:[],mlp:1,mlpclassifi:1,mlpregressor:[0,23],mm:18,mn:[12,20],mnist:[1,11],mod:20,mode:[19,21,23],model:[2,3,5,7,8,9,10,11,13,14,15,16,17,20,22,24],model_select:[0,1,3,5,6,7,9,10,11,23,24],modelanalyz:[3,4,14],moder:10,modern:[0,6,7,17,23],modif:[2,12,13],modifi:[0,1,3,5,7,8,10,12,13,23,24],modul:[0,3,4,7,11,14,18,23],modular:20,modulenotfounderror:[],modulo:20,moe:[11,24],moment:[5,6,13,20],monitor:13,monoton:[5,12,20],mont:[0,6,17,20,22,23],montecarlocycl:[],moor:[5,6],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,17,20],moreov:[0,3,23],morten:[21,23,24],mortenimac:[],mosek:[],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,20,23,24],mostli:[1,11],motion:[0,13,23],motiv:[1,4],move:[0,4,5,6,7,9,12,13,14,20,23,24],mp4:[],mpl:[0,7,23],mpl_toolkit:[2,6,13],mplot3d:[2,6,13],mplregressor:1,mse:[0,4,5,6,9,10,15,16,23,24],mse_simpletre:10,mselassopredict:5,mselassotrain:5,mseownridgepredict:6,msepredict:5,mseridgepredict:[0,5,6],msetrain:5,msg:[0,23,24],msle:[0,23],mt19937_64:[],mt:[7,12],mu0:20,mu1:20,mu2:20,mu:[0,6,11,13,20,23],mu_1:24,mu_:[6,20,24],mu_i:[6,24],mu_n:11,mu_x:20,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,18,20,23,24],mul:[],multi:[0,1,3,7,17,23,24],multiclass:[1,7],multidimension:[11,12,23],multilay:1,multinomi:7,multipl:[2,4,5,6,7,12,13,20,24],multipli:[2,3,5,6,11,13,18,20,24],multiplum:8,multivari:[0,2,10,11,17,20,23],multivariate_norm:[11,14],murphi:[11,22,23],must:[0,1,2,5,6,8,10,12,13,14,20,23,24],mutat:7,mutual:[1,3,6,13],mx_:20,myenv:[0,1,2,3,4,6,7,8,11,13,14,23,24],myriad:[0,15,17,23],mz1:20,mz2:20,n1:18,n2:18,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,20,23,24],n_0:[12,20],n_:[1,2,3,8,12,20],n_b:[],n_boostrap:[6,10],n_bootstrap:6,n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:13,n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,23],n_i:20,n_input:[0,1,3,24],n_instanc:9,n_iter_i:[7,11],n_job:10,n_k:14,n_l:[12,20],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14],n_split:6,n_step:4,n_t:2,n_x:2,nabla:[1,13],nabla_:[2,13],nabla_w:13,nag:13,naimi:[0,23],naiv:7,naive_kmean:14,najafi:[21,23],nall:[0,23],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,23,24],nameerror:[6,10,15],namespac:[3,4,14],narrow:13,nary_f:[2,13],nary_op_arg:[2,13],nary_op_kwarg:[2,13],nary_oper:[2,13],nation:[1,5,24],nativ:[17,23],natur:[0,1,4,8,9,12,13,20,22,23],navier:12,nb:20,nb_:18,nbconvert:23,nboot:[],nd:14,ndarrai:[2,6],ndef:13,ndim:[],ne:[9,10,18,20,24],ne_xcl2ctm0:[],nearest:[1,3,6,11],nearli:13,neat:23,neccesari:6,necess:2,necessari:[0,1,3,4,8,14,23],necessarili:[0,4,11,20,23],necesserali:5,neck:7,need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,24],neg:[0,1,3,5,6,7,10,13,18,20,23],neg_mean_squared_error:6,neglect:20,neglig:20,neighbor:[3,6,11],neither:[4,13],neq:[13,14,20],nervou:12,nest:[2,9,12],nesterov:13,net:[2,4,12],netlib:[18,23],network:[0,9,13,17,22,24],neural:[0,13,17,22,24],neural_network:[0,1,2,23],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,23],neutron:[0,23],never:[1,4,6,9,20],new_box:[2,13],new_chang:13,new_hobbit:23,new_root:[2,13],new_trac:[2,13],new_tracing_count:[],newaxi:[0,3,6,9],newli:[0,23],newton:[1,7,8,13,20],next:[0,1,2,3,4,5,6,8,9,13,14,23,24],next_guess:13,next_input:4,nf8_grad:13,nfrom:13,ng:1,ngini:9,ni:14,nian:[],nice:[0,1,5,11,23,24],nichola:[],nicholaskarlsen1102:[],nimport:13,niter:13,nitric:[0,24],nlambda:[0,5,6],nlevel:[],nlp:22,nm:20,nm_n:[0,23],nmse:6,nn:[2,5,6,12,18],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:2,nois:[0,4,5,6,8,9,10,13,15,16,23,24],noise_dimens:4,noisi:[1,6],non:[0,1,3,5,6,7,9,10,11,12,13,14,18,20,23,24],none:[0,1,2,3,4,5,9,10,13,14,20,23,24],nonlinear:[3,6,8,9,11,12],nonneg:[6,9,13],nonparametr:6,nonsens:20,nonsingular:18,nonumb:[3,7,8,13,18],noqa:[3,4,14],nor:[1,4,13],norm:[0,1,5,6,8,11,13,23,24],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,23,24],normali:[18,23],normalize_kwarg:[],norvig:23,norwai:[6,23],notat:[0,2,5,6,13,14,20,23,24],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,22,23],notebook:[0,1,3,9,15,17,23],notesexercise5week452022:23,noth:[1,2,5,8,12,14,20,24],notic:[4,5,12,13,18,20,23],notimplementederror:2,notion:3,notrace_primit:[],novel:[3,6,10],novemb:[1,19,21,23],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,18,20,23,24],nowadai:[0,1,3,9,17,23],nox:[0,24],np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,23,24],npr:2,nprint:13,nsampl:[6,9],nspin:[],nt:2,nthi:[0,23],ntrained_model:6,nu:20,nuclear:[5,24],nuclei:[0,20,23],nucleon:[0,23],nucleu:[0,23],num:4,num_allow_arg:[0,23],num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_output:[],num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,23],numberid:7,numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,18,22,23,24],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,24],numpy_box:2,numpy_rank_promot:[3,4,14],numpy_vjp:2,numpy_wrapp:2,nunmpi:[5,24],nvalu:9,nx:[2,13],nx_test:6,nx_train:6,nx_train_mean:6,ny:20,ny_pr:6,ny_train:6,ny_train_mean:6,o:[0,6,7,8,9,11,15,18,21,22,23,24],obei:[6,11,13,24],object:[0,1,2,4,6,8,10,13,18,23,24],objsens:[],obliqu:[5,24],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,20],obtain:[0,1,5,6,7,8,9,10,12,13,14,18,20,23,24],obviou:[5,6,11,20,24],obviouli:23,obvious:[0,4,5,6,18,23],oc:24,occupi:[0,24],occur:[0,6,8,9,18,20,23],octob:[19,21,23],od:0,odd:[0,3,7,23,24],odenum:2,odesi:2,oen:0,off:[1,3,4,5,9,13,20],offer:[6,11,17,18,19,21,23],offic:[21,23],offici:[19,23],ofil:[],ofstream:[],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],ofter:[18,23],oh6i_oscwpc:[],ol:[0,13,15,16,23,24],old:[1,5,10,13],ols_sk:6,ols_svd:6,olsbeta:[0,5],olxksel3p4a:[],omega:[2,3,6],omega_0:3,omit:[0,5,23,24],on_train_batch_begin:[],onc:[1,6,9,11,13],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,17,18,20,21,23,24],oneapi:[],onednn:[],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,18,23,24],ones_lik:4,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],onlin:[11,19],onto:[5,11,24],op_nam:[],opbdi:[],open:[0,1,4,6,7,9,15,17,19,21,23],oper:[0,1,3,4,5,6,10,11,12,13,14,15,17,20,23,24],operation:20,ophint:[3,4,14],oplu:20,opmiz:13,opportun:[0,23],oppos:[6,13],opposit:[1,5,8,24],opresolvertyp:[3,4,14],opt:[1,5,23],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16],optimis:[1,3],optimizer_v2:[],option:[0,1,3,5,6,7,8,11,18,24],optionalxlacontext:[],optmiz:[1,8,13,24],oral:23,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,18,20,23,24],ordinari:[0,2,3,7,11,13,15,16,17],oreilli:22,org:[0,3,4,7,11,17,18,22,23],organ:[6,7,10,18],orient:[1,5,20,24],origin:[0,3,5,6,8,11,12,13,18,23,24],orthogn:[5,24],orthogon:[0,5,6,8,11,13,18,23,24],orthonorm:[5,24],os:[0,1,4,5,6,7,8,9,21,23,24],oscar:1,oscil:[3,13],oslo:[0,15,17,19,21,23,24],osx:[0,15,17,23],other:[0,1,2,3,5,6,7,8,10,13,14,15,17,19,20,21,22],otherwis:[0,1,4,7,13,18,23,24],ouput:[5,7,12],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,20],ourmodel:0,ourselv:[0,5,6,8,11,13,23,24],out1:2,out2:2,out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,20,23,24],out_fil:9,outcom:[0,7,9,10,12,20,24],outdoor:9,outer:[6,12,13],outfil:4,outfilenam:[],outgrad:2,outlier:[0,8,23,24],outlin:[6,10,11],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,18,20,23,24],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:13,over:[0,1,3,4,5,6,9,10,12,13,18,23,24],overal:[1,10],overcast:9,overcom:[12,13],overdetermin:[0,23],overfit:[0,1,3,6,9,10,13],overflow:[1,5],overhead:12,overlap:[3,7,8,9],overlin:[0,5,6,9,10,11,14,18,23,24],overst:[0,23],overtrain:4,overview:3,own:[4,5,6,8,12,13,17,18],owner:[0,24],ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6],ownypredictridg:0,ownytilderidg:0,oxid:[0,24],oyvinssc:[],p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],p_:[2,4,8,9],p_hidden:2,p_i:[5,20],p_j:20,p_n:20,p_output:2,p_x:20,pack:[0,23],packag:[0,1,2,3,4,5,6,7,8,11,13,14,15,17,20,24],pad:[3,4],page:[0,17,23],pai:[0,1,9,13],pair:[0,2,3,9,17,20,23,24],pamilla:23,panda:[0,4,5,6,7,9,11,15,17],panel:23,paper:1,paradigm:[0,23],parallel:[3,4,10,13,14,17,18,23],param:2,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,20],parameter:[0,6,10,23,24],parametr:[0,6,15,16,23,24],paramt:[3,5],parent:2,parent_argnum:2,park:[],parser:[0,23],part:[0,1,3,5,6,10,18,19,20,21,23],partial:[0,1,3,4,5,6,7,8,10,11,12,13,14,16,20,23,24],partialmethod:[3,4,14],particip:[17,19,21,23],particl:[0,4,13,20,23],particular:[0,1,2,3,5,6,9,10,11,12,13,16,20,22,23,24],particularli:[5,6,8,11,13,20,24],partit:[1,4,9],partli:[6,23],pass:[2,3,12,14],past:[10,20],patch:[6,20],path:[0,4,6,7,9,15,17,23,24],patient:7,patter:4,pattern:[0,3,4,12,19,22,23],pauli:[0,23],pc:[11,17],pca:[0,7,17,23,24],pcolor:6,pcolormesh:6,pd:[0,4,5,6,7,9,11,23,24],pde:2,pdf:[0,3,4,5,6,9,22,23],pedagog:[0,23,24],penal:[6,24],penalti:[6,13,24],penros:[5,6],pentagon:13,peopl:[0,1,9,13,17,24],per:[0,1,6,19,21,23,24],percentag:[0,10,11,21,24],perceptron:[0,1,7,23],peregrin:23,perfect:[0,1,13,23],perfectli:[4,6],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,23,24],performac:4,perhap:[0,5,13,23,24],perimet:[1,9],period:[1,4,20],permut:11,persist:13,person:[5,6,7,19,21,23,24],perspect:22,pertin:12,petal:[8,9],peter:22,petersen:[],phantom:20,phase:[6,12],phawkin:[3,4,14],phenomena:20,phi:8,phi_k:8,philip:[],philosophi:13,phone:[21,23],photo:4,phrase:[0,23],physic:[0,1,4,7,12,13,20,21,22,23,24],pi:[2,3,5,6,7,9,12,13,20],pick:[1,9,10,11,13,14],pickl:1,pictur:[0,23],pie:[17,23],piec:[11,14],pillow:[0,15,17,23],pinv:[5,6,13,24],pip3:[0,1,15,23],pip:[0,1,15,17,23],pipelin:[0,6,8,10,24],pippin:23,pit:4,pitfal:[6,24],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,18,23],plai:[0,3,4,5,6,8,11,17,23,24],plain:[8,10,12,13,14],plan:[6,9,21,22,23],plane:[8,9],plateau:5,platform:[17,23],plausibl:12,pleas:[3,4,6,7,11,13,14,21,23,24],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23,24],plot_confusion_matrix:[7,10],plot_count:6,plot_cumulative_gain:[7,10],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10],plot_surfac:[2,6,13],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],plu:[0,3,5,7,23,24],pm:8,pmatrix:2,pml:22,pn:3,png:[0,4,6,7,9,23,24],pocketfft:[3,4,14],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,21,23,24],point_1:4,point_2:4,poisson:[17,20,23],poli:[6,8],pollut:[3,4,14],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:13,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,24],polygon:13,polym:12,polynomi:[0,5,6,7,8,9,10,11,15,16,23,24],polynomial_featur:6,polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,24],polytrop:[0,6,23],pool:3,pool_siz:3,poor:[1,13],poorli:[0,24],pop:2,popul:[0,5,23,24],popular:[0,1,3,6,7,8,9,11,12,15,17,18,20,23,24],popularli:[0,23],portabl:10,portion:[11,13],pose:[0,4,5,6,11,20,23],posit:[0,1,2,3,5,7,8,10,11,13,14,18,20,23,24],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,20,21,23,24],posterior:5,postpon:[0,23,24],postul:5,potenti:[0,3,5,6,12,13,23,24],potr:[],potrf:[],pott:12,power:[0,1,5,6,8,9,12,13,23,24],pp:[5,6],practic:[0,5,6,7,8,20,24],practition:[0,1,3,23],pre:23,preced:[1,11,12,20],preceed:4,preceq:8,precis:[0,2,5,11,13,18,20,23,24],pred:6,predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,17,22,23,24],predict_prob:1,predict_proba:[7,10],predictor:[0,5,6,7,9,10,11,23,24],prefer:[0,1,6,8,9,11,13,15,17,23],prepar:[0,6,18,23,24],preprocess:[0,4,6,7,8,9,10,11],prerequisit:0,presenc:13,present:[0,5,6,7,9,12,13,18,20,23,24],preserv:[3,11,18],press:[13,22],pretrain:[1,4],pretti:[0,4,8,9,15,17,23],prev_centroid:14,prevent:[13,20],previou:[0,1,2,3,4,5,6,8,10,11,12,13,18,20,24],previous:[2,3,9,10,20],price:[0,4,9,13,24],primal:8,primari:[0,7,23],prime:20,primit:2,primitive_batch:[3,4,14],princip:[0,5,7,17,23,24],principl:[0,6,7,8,14,23],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,18,20,23,24],print_funct:[8,9],printout:[0,23],prior:[0,5,6,23,24],privat:[0,23],prob:[1,20],probabilist:[0,22,23,24],probabl:[0,1,3,4,6,7,10,13,17,23,24],problem:[0,3,4,5,6,7,8,9,10,11,12,14,16,17,18,20],probml:22,proce:[0,5,6,7,8,9,10,11,13,18,23,24],procedur:[2,4,5,6,8,10,11,13,24],proceed:18,process:[0,2,4,6,9,10,12,13,15,17,18,20,22,23],prod:22,prod_:[1,5,7],produc:[0,3,4,5,6,9,10,11,12,13,17,18,20,23,24],product:[0,1,3,5,6,7,8,12,13,16,17,18,23,24],profess:[0,23],program:[0,1,4,5,6,8,12,14,15,16,17,18,19,20,21,23,24],programm:18,progress:[1,4,14],prohibit:6,project1:6,project:[0,1,2,3,5,11,13,17,19,21,24],project_root_dir:[0,6,7,9,23,24],promin:12,promis:8,promot:[21,23],prone:9,pronounc:[13,17,23],proof:[0,11,12,13,23],propag:[2,3,13],proper:[0,2,6,7,23],properli:[1,6,8,10,13],properti:[0,1,3,12,13,16,18,23],proport:[0,1,5,9,11,13,16,20,23,24],propos:[1,4,6,10,23],propto:[5,13],protect:[],protobuf:[],proton:[0,23],prove:[3,13],provid:[0,1,3,4,5,6,8,9,10,12,13,15,17,18,20,23,24],proxi:[1,13],prune:9,pseudo:[18,20],pseudoinv:5,pseudoinvers:[5,6],pseudorandom:[6,20],psycholog:[0,23],pt:13,ptratio:24,punish:[0,1,23],pure:[3,9,20],purest:9,puriti:9,purpos:[0,3,10,12,14,23,24],put:[1,23],putarow:[],putboundslic:[],putclist:[],putobjsens:[],putqobj:[],py:[0,1,2,3,4,5,6,7,8,11,13,14,23,24],pycod:23,pydata:17,pydot:9,pyhton2:23,pylab:[0,7,23],pylint:[3,4,14],pypi:17,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],pythagora:5,python2:[0,15,23],python3:[0,1,2,3,4,6,7,8,11,13,14,15,17,23,24],python:[1,2,3,4,5,6,8,11,12,13,14,16,20,24],pytorch:[0,17,23],pywrap_tf:[],q:[5,6,8,11,20,24],qn_bavhmd8u:[],qp:8,qquad:[2,11,13,18],qr:[5,6,18,24],quad:[1,13,18],quadrat:[0,8,9,13,15,16,23],qualit:[4,9,20],qualiti:[0,9,15,16,17,23,24],quantifi:1,quantil:10,quantit:[0,6,9,23],quantiti:[0,2,5,6,7,9,10,11,12,14,16,18,20,23,24],quantum:[4,12,22,23],quartil:[0,24],quench:5,queri:9,question:[0,5,6,9,11,12,13,21,23,24],qugan:4,quick:[4,20],quick_execut:[],quickli:[1,3,9,11,13],quit:[1,5,6,9,10,12,24],quot:[4,23],r2:[0,5,6,23,24],r2_score:[0,23,24],r2score:[0,23],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,24],r_1:9,r_2:9,r_j:9,r_m:9,rad:[0,24],radial:[0,8,12,24],radioact:20,radiu:[0,1,9,24],rag:2,rain:9,rais:[0,2,13,23],ramp:1,ran0:20,ran1:20,ran2:20,ran3:20,rand:[0,4,5,6,9,10,13,15,16,18,23,24],rand_max:[],randint:[6,9,13],randn:[0,1,2,5,6,9,11,13,15,16,23,24],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,17,18,23,24],random_devic:[],random_forest_model:10,random_index:13,random_indic:[1,3],random_st:[0,7,8,9,10,11,24],randomforestclassifi:10,randomli:[1,6,9,13,14],randomnumbergener:[],rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,18,20,23,24],rangl:[0,6,11,20,23,24],rangle_x:20,rank:[5,24],rankdir:4,raphson:[1,8,13],rapidli:[0,23],rare:[1,13,23],rate:[0,1,2,3,4,8,9,10,12,13,24],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,18,20,23,24],ratio:[4,7,9,10,11],rational:[0,23],ravel:[5,6,7,8,9,10,11,13,18,24],raw:3,raw_df:24,rbahrf:[],rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,20,24],rcond:[0,23,24],rcparam:[0,1,3,7,8,9,10,20,23],rd:[],rdbj50lv3go:[],re:[2,4,13],reach:[1,4,5,6,7,9,10,11,12,13,14],read:[0,2,3,4,5,6,7,8,11,12,16,18,19,20,22],read_csv:[0,6,7,9,23,24],read_fwf:[0,23],reader:[0,6,18,20,23,24],readi:[0,1,5,6,8,10,11,12,18,23],readili:1,readthedoc:17,real:[0,1,2,4,7,10,11,12,13,18,24],real_loss:4,real_output:4,realist:8,realiti:20,realiz:[1,12],realli:[0,1,23],rearrang:13,reason:[0,1,3,4,10,13,22,23],reassign:1,rebuild:[],recal:[5,6,9,10,11,12,18,20,23,24],recalcul:[],recast:3,receiv:[1,3,10,12,20],recent:[0,2,3,4,6,9,10,13,14,15,22,23],recept:[3,12],receptive_field:3,recip:[0,6,7,18,23,24],reciproc:5,recogn:[0,4,5,10,23],recognit:[0,1,3,12,19,22,23],recommend:[0,2,3,4,5,6,8,13,15,17,18,22],reconsid:9,reconstruct:11,record:[10,19,21,23],recreat:[],rectangl:[9,13],rectangular:[5,24],rectifi:[1,3,12],recur:[0,17,23],recurr:[0,1,17,23],recurs:[9,17,18,23],recycl:[],red:[0,3,4,6,8,9],redefin:[0,10,23,24],reduc:[1,3,5,6,9,10,11,13,23],reduct:[0,10,11,17,20,23,24],refer:[0,1,2,3,5,6,7,11,12,13,14,18,22,23,24],referenc:2,refin:12,refit:6,reflect:[0,1,4,5,20,23],refresh:[17,23],refreshprogrammingskil:23,reg:[10,11],regard:[1,9,13],regardless:12,region:[3,4,6,9,12],regist:[6,20],reglasso:5,regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,17,18],regressor:[0,7,10,23],regridg:[0,5,6],regular:[0,3,4,5,6,7,9,13,21,23,24],regularis:6,reilli:[0,15,22,23],reinforc:[0,8,17,23],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,20,23,24],relat:[0,1,3,4,5,11,13,14,18,20,23],relationship:[0,4,9,23],relativeerror:[0,23,24],releas:[1,6,13,17,23],relev:[0,1,5,7,11,15,17,20,23],reli:[0,3,4,6,8,14,23],reliabl:[7,20],relu:[3,4],remain:[1,2,4,6,12,18,20,24],remaind:20,reman:2,remark:1,rememb:[0,8,13,18,23],remind:[0,5,11,13,18,20,24],remov:[0,4,5,6,23,24],render:[0,23,24],reorder:[5,7,24],reorgan:[0,23],repeat:[0,1,3,4,5,6,9,10,11,13,14,18,20,23],repeated:23,repeatedli:[0,6,10,13],repet:3,repetit:[6,23,24],rephras:13,replac:[0,1,3,4,5,6,10,12,14,15,16,17,23,24],replica:6,report:23,repositori:[0,4,23,24],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,20,23,24],represent:[0,1,3,6,20,23],representd:3,reproduc:[0,5,6,9,12,15,16,17,20,23,24],repuls:[0,23],request:[0,13,23],requir:[0,1,3,4,5,6,8,9,11,12,13,18,23,24],res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:6,resampl:[0,7,10,17,23,24],rescal:[0,11,12,24],rescu:5,reseach:6,research:[0,4,13,17,22,23],resembl:[6,20],reserv:[1,5,6,20],reset:[],reshap:[0,1,2,3,4,6,8,9,10,15,16,18,23,24],residenti:[0,24],residu:[0,5,13,23],resiz:[5,24],resourc:23,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,20,23,24],respond:12,respons:[0,7,9,12,23,24],rest:[0,5,24],restat:[0,12,23],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,23],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,23],result_typ:[],retail:[0,24],retain:[5,6,24],return_data:14,return_kwarg:[],return_sequ:4,return_x_i:9,reus:[1,3,6],reveal:[0,12,23],revers:[1,18],review:[17,18],revisit:14,revolut:23,reward:[0,4,23],rewrit:[0,3,5,6,7,8,10,11,12,13,18,20],rewritten:[2,6,8,10,20],rewrot:13,rf:10,rfft2:[3,4,14],rfft:[3,4,14],rfftfreq:[3,4,14],rfftn:[3,4,14],rgb:3,rgoj5yh7evk:17,rh:6,rho:[0,10,13,23],rho_1:10,rho_2:10,rho_m:10,rich:[0,23],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,17,23],ridge_sk:6,ridgebeta:5,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,18,20,23,24],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,20,23,24],rigor:[0,23],ring:6,rise:[0,23],risk:[0,13,15,16,23],rival:4,river:[0,24],rm:[0,20,24],rmse:[0,24],rmsporp:13,rmsprop:[1,3,4,13],rnd_clf:10,rng:20,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:20,rntrick2:20,rntrick3:20,rntrick4:20,ro:[0,13,23],robert:22,robust:[0,23],robustscal:[0,24],roc:[7,10],role:[0,2,5,6,8,17,23,24],roll:6,room:[0,21,23,24],root:[0,5,9,13,20,23,24],rot:23,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,24],routin:[13,18,23],row:[0,1,2,5,6,7,9,11,18,23,24],rr:[5,24],rrr:[5,24],rthe:[],rug:13,rule:[0,1,5,6,13,23,24],run:[0,1,2,4,5,6,8,9,11,13,15,17,23,24],runtim:[1,6,14],runtimewarn:[1,6],russel:23,rust:[0,15,17,18,23],rustad:[],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,20,23,24],s_1:6,s_:[3,6],s_i:[6,7],s_j:6,s_k:6,saddl:13,safe:[],safe_zip:[3,4,14],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,18,20,23,24],said:[6,9,13],sake:[0,5,7,11,23,24],sale:[0,23],sam:23,same:[0,1,2,3,4,5,6,8,9,11,12,14,18,20,23,24],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,20,23,24],sample_vari:14,sample_weight:[],sampleexptvari:20,samwis:23,sastri:11,satisfactori:[0,23],satisfi:[1,2,3,6,8,13,18,20],satur:[1,6],save:[0,4,6,7,9,13,23,24],save_fig:[0,6,7,9,10,23,24],savefig:[0,4,6,7,9,20,23,24],savetxt:4,saw:[5,24],scalabl:10,scalar:[2,5,6,10,13,24],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23],scale_mean:4,scale_std:4,scalei:[],scaler:[0,7,8,9,10,11,24],scalex:[],scan:[5,7],scari:5,scatter:[0,1,6,7,8,9,14,23,24],scenario:[6,13],schedul:[13,21],scheme:[1,13],schigsog2l:[],schrage:20,scienc:[0,1,10,12,13,17,19,20,21,22,24],scientif:[0,15,17,23],scientist:[0,23],scikit:[3,5,6,7,8,9,10,13,17,18,19,22],scikit_learn:[0,16],scikitlearn:23,scikitplot:[7,10],scipi:[0,3,5,6,13,15,17,18,23,24],scl:6,score:[0,1,3,6,7,9,10,11,15,16,21,23,24],scores_kfold:6,scratch:[1,13],sdg:13,sdt_bfla8ua:[],seaborn:[0,1,3,6,7,23,24],seamless:[0,15,17,23],search:[0,1,3,5,9,13,23],sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,23,24],secondeigvector:11,secondli:12,section:[4,11,18,20,24],sector:[0,23],see:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,23,24],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,20,23,24],seed_imag:4,seek:[1,2,8],seem:[1,3,4],seemingli:[0,23],seen:[0,1,3,5,10,12,20,23],segment:13,seismic:6,seldomli:[0,23],select:[1,5,6,8,9,10,11,19,20,21,22,23,24],self:[1,2,5,24],sell:4,semest:[7,19],semi:[8,13],semilogx:6,send:[5,12,13,21,23],senior:[19,21],sens:[0,4,6,8,23],sensibl:3,sensit:[0,5,6,9,13,23,24],sent:2,sentenc:[4,12],sep:24,separ:[0,1,2,3,4,6,8,9,12,14,15,17,20,23],septemb:[16,23,24],sequenc:[2,3,4,7,9,10,12,13,17,18,20,23],sequenti:[1,3,4,10,12,20],seri:[0,1,2,3,4,5,6,10,11,12,13,18,23,24],serif:[0,7,20,23],serv:[0,1,2,3,5,7,13,22,23,24],session:[1,19,21,23],set:[1,4,5,6,7,8,10,11,13,14,16,17,18,20,21],set_major_formatt:6,set_major_loc:6,set_stream:[],set_tick:[1,8],set_ticklabel:1,set_titl:[0,1,2,3,7,12,14,23],set_xlabel:[0,1,2,3,7,12,23],set_xlim:[7,12],set_xticklabel:1,set_ylabel:[0,1,2,3,7,23],set_ylim:[7,12],set_ytick:7,set_yticklabel:[1,6],set_zlim:6,seth:4,setiosflag:[],setminu:6,setosa:[8,9],setosa_or_versicolor:8,setp:6,setprecis:[],setse:[],setup:[1,4,6,8,17,23,24],setw:[],sever:[0,3,5,6,7,8,9,11,12,13,17,18,20,23,24],sgd:[1,3],sgd_clf:8,sgdclassifi:8,sgdreg:13,sgdregressor:13,sgn:[5,24],sh:[],shallow:13,shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,23,24],shape_bas:2,share:[1,3,23],she:7,shift:[1,6,12,20],ship:3,shire:23,shortcom:13,shorten:4,shorter:20,shorthand:23,shortli:[18,23],should:[0,2,3,5,6,8,9,11,12,13,15,16,18,20,23,24],should_sync:[],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],show_shap:4,shown:[0,4,5,7,8,11,12,13,18,24],showpoint:[],shrink:[3,5,6,8,11,24],shrinkag:[5,6,24],shrunk:11,shuffl:[0,1,4,6,13,24],side:[0,2,5,8,12,13,18,23],sigh:[17,23],sigma0:20,sigma1:20,sigma2:20,sigma:[0,1,5,6,7,10,11,12,13,18,20,23,24],sigma_0:[5,24],sigma_1:[5,24],sigma_2:[5,24],sigma_:[5,18,23,24],sigma_fn:[7,12],sigma_i:[0,5,23,24],sigma_j:[5,24],sigma_m:[6,20],sigma_n:[11,20],sigma_t:13,sigma_x:20,sigmoid:[1,2,4,7,8,10,12],sigmundson:[6,24],sign:[1,2,7,8,10,20,21],signal:[1,3,10,12],signatur:[],signifi:4,signific:1,significantli:[1,13,20],sigurd:[],sim:[4,5,6,13,20],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,18,23,24],similarli:[0,1,3,5,8,10,13,20,23,24],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,20],simple_rnn:[],simplepredict:10,simpler:[0,1,5,6,7,13,16,17,23],simplernn:4,simplest:[0,1,3,4,9,10,12,14,23],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,17,18,20,23,24],simplic:[2,5,6,7,8,9,10,11,12,14,24],simplicti:[5,24],simplifi:[0,6,9,15,17,23,24],simplist:[3,6,20],simul:6,simultan:6,sin:[0,1,2,3,4,9,12,13,18,23],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,18,20,22,23,24],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,18,20,23,24],singular:[0,6,13,18,23],sinusoid:3,site:[0,1,2,3,4,6,7,8,11,13,14,19,23,24],situat:[0,4,5,7,13,20,23,24],six:[3,4,14,20],size:[0,1,2,3,4,5,6,8,9,10,11,13,18,20,23],sketch:10,ski:9,skill:[0,23],skip:11,skiprow:24,skl:[0,6,23,24],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,23,24],skplt:[7,10],sl:6,slack:8,slice:[2,18,23],slide:[0,3,15,16,20,23,24],slight:[6,13],slightli:[1,2,3,5,6,7,10,20,24],slope:[8,11,12],slow:[0,2,8,13,24],slower:[5,18,23,24],slowest:18,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,17,18,20,23,24],smaller:[0,1,2,5,6,8,9,11,13,20,23,24],smallest:[0,4,14,15,16,23],smallest_row_index:14,smooth:[0,3,6,9,13,23],sn:[0,1,3,6,7,23,24],sne:11,sneak:23,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,23,24],soar:6,social:[0,23],societ:23,soft:[1,7,10,12],soft_pmap:[3,4,14],soften:8,softmax:[3,7],softwar:[0,8,15,17,18],sol:8,sole:[0,6,23],solid:[0,7,23],solitem:[],soltyp:[],solut:[0,1,2,3,5,6,8,10,11,13,18,20,23,24],solutionsummari:[],soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,18,23,24],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,18],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,20],some_model:[6,24],somehow:4,someth:[0,1,3,4,7,9,11,20,23,24],sometim:[0,1,11,12,13,14,23,24],soon:[18,21],sophist:[0,23],sopt:13,sort:[5,6,9,11,20,24],sound:[3,5],sourc:[0,1,3,6,15,17,18,20,23,24],space:[0,1,4,5,8,9,11,12,13,14,20,24],span:[0,3,5,9,11,18,23,24],spare:1,spars:[3,6,18,23],sparse_mtx:[18,23],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],spdiag:[],speak:20,special:[6,7,10,12,13,18,20,23,24],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,17,18,20,22,23,24],specifi:[0,3,5,6,7,9,11,13,14,20,23],specifici:[0,10,23],spectacular:3,spectral:1,speech:[0,1,3,4,12,23],speed:[1,2,4,13],spend:20,sphere:[0,24],spin:6,spite:[0,23],spline:8,split:[1,3,4,5,6,8,9,10,11,14,20],splite:0,splitter:[1,10],spmatrix:[],spontan:20,spot:3,spread:[0,11,20,23,24],springer:[22,23],spuriou:13,sqquar:[],sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,20,24],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,18,20],squarederror:10,squaredeuclidean:14,squash:12,squeez:[],srand:[],srtm:6,srtm_data_norway_1:6,sse4:[],stabil:5,stabl:[0,4,5,6,7,9,11,17,23,24],stack:[2,3,4],stacklevel:[0,23],stage:[5,13],stai:[0,2,4,5,11,23,24],stand:[0,5,9,12,23,24],standadscal:24,standard:[0,1,4,5,6,7,8,10,12,15,16,18,20,23],standard_basi:2,standardscal:[0,6,7,8,9,10,11,24],stanford:13,start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,18,20,21,23,24],start_box:[2,13],start_nod:[2,13],start_tim:14,startpoint:[],stat:[6,24],state:[1,2,4,5,6,7,8,10,11,12,13,17,20,24],statement:[0,7,18],statist:[0,1,3,4,7,9,10,11,12,13,14,18,19,22,24],statu:[0,7,11,23,24],stavang:6,std:[0,4,6,23,24],stdev:[],stdout:[],steep:13,step:[0,1,2,4,6,7,9,10,11,12,13,14,18,23],step_fn:[7,12],step_length:13,steps_list:9,steps_per_epoch:[],stereo:3,stian:[],still:[0,2,3,5,6,11,13,20],stimuli:12,stk2100:[22,23],stk3155:[15,19,21],stk4021:[22,23],stk4051:[22,23],stk4155:[19,21],stk5000:22,stk:[22,23],stochast:[0,1,5,6,8,11,12,15,16,23],stock:4,stoke:12,stone:[0,7,23],stop:[1,4,7,9,11,13,14],storag:[5,24],store:[0,1,2,3,6,11,13,20,23],storehaug:[21,23],str:[1,3,4],straight:[0,6,8,13,23,24],straightforward:[0,2,3,5,6,8,9,10,13,18,23,24],strategi:[0,1,9,23],stratifi:6,streamtyp:[],strength:[0,5,14,24],stretch:11,strict:[8,13],strictli:[8,13],stride:[4,18],strike:6,string:1,stroke:7,strong:[3,6,9,10,12,18,20],strongli:[0,8,17,18,24],stronli:[0,24],structur:[0,1,2,3,6,9,10,12,17,23],stuck:[1,13],student:[0,19,21,22,23],studi:[0,3,4,5,6,7,8,11,12,13,17,22,23,24],studier:22,style:[0,7,9,18,23],sub:[9,12],subarg:[2,13],subdivid:[0,18,23],subfield:[0,23],subject:[6,8,20],submit:23,submodul:[3,4,14],subplot:[0,1,3,4,6,7,8,9,10,13,14,23,24],subplots_adjust:[8,20],subprogram:[18,23],subract:[0,24],subroutin:[0,23],subscript:1,subsequ:[1,4,5,6,12,18,20,24],subset:[1,6,9,12,13,17,23],subspac:[0,8,11,24],substanti:[9,10],substep:11,substitut:[3,6,12,18],subsubset:9,subtask:6,subtl:1,subtract:[0,2,4,5,6,11,13,18,20],subtre:9,subval:[2,13],succeed:[0,4,23],success:[3,7,9,13,20],successfulli:[4,9],sucess:[],sudo:[0,15,17,23],suffer:[0,1,2,5,10,23,24],suffici:[1,6,8,11,13],suggest:[1,13,22],suit:[8,12],suitabl:[0,20,24],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],sum_i:[0,2,5,6,8,13,24],sum_j:6,sum_ja_:0,sum_k:[6,8,12,18],sum_logist:13,sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9],summari:[1,3,4,10,19],summat:[0,3,16,24],sunni:9,superconduct:24,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,17,23,24],supplement:7,support:[0,1,9,10,11,13,17,23,24],suppos:[0,5,6,7,8,10,11,12,13,18,23,24],suppress:[5,13],sure:[0,1,4,6],surf:6,surfac:[0,6,23],surpass:6,surpris:[0,23],surround:[3,17],survei:[0,5,6,23,24],suyrzm0:[],svc:[8,9,10],svd:[0,6,11,23],svdinv:5,svm:[8,9,10,11],svm_clf:[8,10],swap:[],swapax:[],swath:[5,24],sy:[3,4,13,14],symbol:[1,5,11,13,17,20,23,24],symmeteri:1,symmetr:[0,5,8,11,12,13,18,23,24],symmetri:[6,9],sympi:[0,15,17,23],synonim:20,syntax:[1,13],syntaxerror:[1,8],syrk:[],system:[0,1,3,4,6,7,9,10,12,13,15,17,18,23],systemat:[4,6],t0:[3,6,13],t1:[2,13],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23],t_0:[2,9,13],t_1:13,t_:2,t_b:10,t_i:[1,2,5,12,24],t_j:12,t_k:9,tabl:[9,20,21,23],tabul:[0,23],tabular:23,tackl:4,tag:[2,3,4,5,6,7,12,13,14,18,20,24],taht:[0,23],tail:20,tailor:[2,8,11,23],taiwan:[0,23],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,18,20,23,24],taken:[0,1,3,6,10,13,18,23],tan:[2,3],tangent:[1,4,12,13],tanh:[1,4,7,8,12],tape:[],target:[0,1,2,3,4,5,6,7,8,9,10,11,12,23,24],target_meta:2,target_nam:9,task:[0,1,3,6,9,11,12,14,23],tau:[3,5,20],taught:23,tax:[0,24],taylor:[2,13],taylornr:13,tc:8,td:[1,6,13,23],teach:23,team:1,teaser:0,technic:[0,5,6,13,15,23,24],techniqu:[0,1,8,10,13,17,20,22,23,24],technolog:[0,1,23],tek5040:[],tell:[0,4,6,10,11,13,20],temp1:1,temp2:1,temp:1,temperatur:[0,9,23],temporarili:1,ten:[3,23],tend:[3,5,6,8,9,10,12,13,14,24],tendenc:[0,23],tension:6,tensor:3,tensorflow:[0,2,4,8,14,15,17,18,19,22,23,24],term1:[5,6,11,24],term2:[5,6,11,24],term3:[5,6,11,24],term4:[5,6,11,24],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,23,24],termin:[0,4,5,9,10,13,15,23,24],terrain1:6,terrain:6,test:[3,4,5,6,7,8,9,10,13,14,18,20],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:6,test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10],test_siz:[0,1,3,5,6,10,23,24],test_split:9,testerror:[0,6,24],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,18,20,22,23,24],textbook:24,textual:9,textur:[1,9],tf:[1,3,4,13,14],tfe_py_execut:[],tflite:[3,4,14],th:[0,1,2,5,6,7,9,12,13,14,15,16,18,20,23,24],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,20,23,24],thank:[4,6,24],theano:[1,17,23],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,20,24],them:[0,1,3,4,6,8,9,10,11,12,13,18,23,24],theme:[0,23],themselv:[0,20,23],thenc:6,theorem:[2,6,7,24],theoret:[0,4,10,23],theori:[0,1,3,8,9,12,13,17,22,23],thereaft:[0,5,6,11,12,15,16,18,23],therebi:[0,5,7,11,23,24],therefor:[0,1,2,3,4,6,7,8,11,13,20,23,24],therein:11,thereof:[0,6,13,23],theta:[1,4,13,20],theta_:[1,13],theta_i:1,theta_k:[],theta_linreg:13,theta_t:13,thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24],thing:[0,1,2,4,5,7,9,20,23],think:[0,1,3,4,6,9,12,13,14,20,23],third:[0,3,6,13,21,23],thirti:7,thorughout:23,those:[0,3,5,6,8,9,10,11,18,19,23,24],though:[1,2,3,4,13,18,20],thought:[6,14,20],thousand:[0,1,23,24],thread:[],three:[0,1,3,5,6,8,9,12,15,18,19,20,21,23,24],threshold:[1,3,9,10,11,12,13],through:[0,1,2,3,4,5,6,8,11,12,13,14,17,18,20,23,24],throughout:[0,4,5,14,17,18,20,23],thu:[0,1,2,5,6,7,8,10,11,12,13,21,23,24],thumb:[0,6,23,24],thursdai:[21,23],tibshirani:[6,19,22,23,24],tick_param:6,ticker:[6,13,20],tif:6,tight_layout:[1,7],tightli:11,tild:[0,5,6,7,11,15,16,20,23,24],till:[0,4,7,8,9,10,12,18,23,24],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24],timefunct:[],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,20,23,24],tmp:13,tmp_log:[],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,23],to_str:[],todai:3,todo:[3,4,14],togeth:[0,3,6,8,11,13,17,23,24],toi:14,told:13,toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,20,22,23,24],took:[8,23],tool:[0,1,3,6,13,17,24],toolbox:8,top:[0,3,4,5,6,9,10,14,17,23],top_node_typ:[],top_trac:[],topic:[0,5,6,7,8,17,24],topolog:[1,3,12],toposort:2,torkjellsdatt:[21,23],toss:[10,20],total:[0,1,2,3,4,6,7,8,10,11,12,13,14,15,16,18,20,21,23,24],total_loss:4,totalclustervari:14,totalscatt:14,totalvari:[],toward:[1,2,7,12,13],town:[0,24],tp:[4,7],tpng:9,tpu:[13,17,23],tqdm:6,tr:24,trace:[2,13],trace_stack:[2,13],traceback:[0,2,3,4,6,9,10,13,14,15,23],traceback_util:[],tracer:[2,13],track:[3,13,14,18],tract:[0,24],tractabl:[0,23,24],trade:[5,9],tradeoff:[0,5,23,24],tradit:[0,1,4,6,23],train:[2,3,5,6,8,9,10,11,12,13],train_accuraci:[0,1,3,23],train_dataset:4,train_end:[0,1,24],train_error:6,train_funct:[],train_imag:[3,4],train_ind:6,train_label:[3,4],train_pr:1,train_siz:[0,1,3,24],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,23,24],train_test_split_numpi:[0,1,24],trainabl:[],trainable_vari:4,trained_model:[6,24],trainerror:[0,24],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:13,training_gradient_fun:[],training_loss:[],trainingerror:6,trainpredict:4,trainscor:4,trainx:4,trait:[0,23],trajectori:4,tran:[],transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,17,18,23,24],transit:[6,12],translat:[1,4,6,10,24],transpos:[1,5,11,18,24],travers:[0,5],treat:[0,1,3,6,12,13,20,23,24],tree:[0,1,6,17,23],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:20,treue:7,trevor:22,tri:[2,3,4,9,13],triain:0,trial:[0,2,4,6,13,20,23],triangl:13,triangular:18,trick:[3,4,8,11,13,20],trickier:20,tridiagon:18,trillion:17,trivial:[0,1,5,11,20,23],troubl:[0,8,12,24],truck:3,true_beta:[6,24],true_divid:1,true_fun:6,truli:23,tucker:8,tuesdai:[21,23],tumor:[7,9],tumour:7,tunabl:1,tune:[4,9,13,18,23],tup:[],tupl:[2,13],turn:[0,1,5,6,7,8,9,10,11,12,13,18,20,23,24],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,20],twice:13,twist:11,twister:[],two:[0,1,2,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,23],tx:13,tx_1:13,txt:4,ty:13,type:[0,1,3,6,8,10,13,16,18,20,24],typeerror:[2,13],typic:[0,1,2,3,4,5,7,9,10,12,13,20,23,24],u:[0,2,5,6,8,10,11,12,18,23,24],u_:18,u_i:12,u_m:10,ua:[0,23],ubuntu:[0,15,17,23],uci:[0,24],ufunc:2,uio:[21,22],un:14,unari:[18,23],unary_f:[2,13],unary_oper:[2,13],unary_to_nari:[2,13],unbalanc:[6,9],unbias:[0,5,6,23],unbroadcast:2,unbroadcast_f:2,uncent:6,uncertainti:[0,5,23],uncertitud:20,unchang:[1,3],uncorrel:[10,20],undefin:[5,24],under:[0,1,3,4,5,6,10,13,14,15,16,17,23,24],underdetermin:[0,23],underfit:[1,6],underflowproblem:5,undergo:5,undergradu:[19,21],underli:[0,1,9,13,20,23],underset:[4,14],understand:[0,1,3,5,6,10,13,14,17,23,24],understood:[8,13],undesir:8,undetermin:[5,8],undo:4,unexpect:6,unexpected:20,unfair:[6,24],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,20,23,24],uniform_real_distribut:[],uniformli:[13,20],unifrompdf:20,unimport:13,union:[5,6],uniqu:[0,2,6,13,14,18,23],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,20,23,24],unitari:[5,6,18,24],unitarili:[18,23],uniti:20,univari:20,univers:[0,1,2,13,15,17,19,21,23,24],unix:1,unknow:[0,18,23],unknown:[0,1,3,4,5,6,8,10,13,16,18,23,24],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,24],unlik:[1,2,3,8,13],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9],unstabl:1,unsupervis:[0,1,4,12,17,23],unsymmetr:[18,23],until:[1,2,4,9,12,13,14],untouch:0,unus:[3,4,14],unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,17,18,20,21],updat:[1,2,3,4,10,12,13,14],uploa:23,upload:[17,22],upon:[0,1,6,7,11,18],upper:[0,8,9,16,18,24],uppercas:[18,23],upsampl:4,upscal:4,us:[4,5,6,8,9,10,11,12,14,15,16,18,19,20,22],usa:23,usag:[0,8,17,23,24],usd10000:[0,24],usd:[0,24],use_bia:4,use_multiprocess:[],usecol:[0,23],useless:1,user:[0,1,2,3,4,6,7,8,11,14,15,17,18,23,24],userwarn:[3,4,6,14],usetex:20,usg:6,usr:20,usual:[0,3,4,7,12,13,14,23],ut:5,util:[0,1,3,4,6,7,10,14,23,24],ux:18,v0:20,v1:[3,4,14,20],v2:[3,4,14,20],v8ejbfezkui:[],v:[2,4,5,6,11,13,17,24],v_0:11,va:1,val:13,val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,17,20,23,24],validation_batch_s:[],validation_data:3,validation_freq:[],validation_split:4,validation_step:[],valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,23],valuat:9,valueerror:[0,2,23],valy:4,van:[0,23,24],vandenbergh:[8,13],vandermond:[0,23],vanilla:[0,6,11,14,24],vanish:[1,4,13,20],var_x:20,varabl:8,varepsilon:[5,6],varepsilon_:[5,6],varepsilon_i:[5,6],vari:[0,1,3,5,6,10,15,16,23],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,18,23,24],varianc:[0,1,5,7,9,10,11,13,14,17,18,20,23,24],variance_i:[5,11,24],variance_x:[5,11,24],variant:[0,1,6,8,12,13,23,24],variat:[3,4,11,23],varieti:[0,3,12,15,17,23],variou:[1,3,5,6,7,8,9,11,12,13,16,17,18,20,24],vartempvec:[],varvec:[],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13],vec:6,vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17],vector_mean:14,ventur:[0,8,15,17,23],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,20,22,23,24],verifi:[3,11,18,23],versatil:[8,23],versicolor:[8,9],version:[0,3,4,10,13,14,15,17,18,20,23,24],versu:1,vert:[0,1,5,6,7,8,9,11,13,23,24],vert_1:[5,6,24],vert_2:[5,6,11,24],via:[0,5,6,7,8,9,10,11,12,15,17,18,19,20,21,23,24],vidal:11,video:[0,1,12,17,19,21,23],view:[1,3,5,6,12,13,20,22,23],violat:8,virginica:9,viridi:[0,1,2,3,23],virtual:1,viscos:13,viscou:13,visibledeprecationwarn:2,vision:[0,3,23],visual:[0,3,11,12,15,17,23,24],visualis:1,viz:[6,8,20],vjiseqm2lci:[],vjp:[2,13],vjp_0:2,vjp_0_fun:2,vjp_1:2,vjp_1_fun:2,vjp_argnum:2,vjpfun:2,vjpmaker:2,vjpnode:[2,13],vmap:13,vmax:[1,6],vmc:[],vmin:[1,6],voic:3,volum:[0,3,23],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vrtx:[],vs:[0,4,6,24],vspace:[2,13],vstack:[5,11,18,20,23,24],vt:[5,24],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],w_1:[8,18],w_1x_1:8,w_1x_:8,w_2:[8,18],w_2x_2:8,w_2x_:8,w_3:18,w_4:18,w_:[1,12],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:18,w_m:18,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,13,14,18,23,24],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,18,20,23,24],walk:9,walker:20,wang:[0,23],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,23,24],warn:[0,1,3,4,8,14,23,24],warrant:6,wast:3,watch:17,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24],weak:[9,10,14],weather:[1,12],web:[17,19,21,23,24],webpag:23,websit:[6,18,19,23],wedg:[8,20],wednesdai:[21,23],wee:11,week:[0,5,6,7,19,21],weekli:[17,21,22,23],weight:[0,1,2,3,6,7,9,10,12,13,20,24],weigth:2,welcom:[8,17],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,22,23,24],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,20,23,24],wessel:[0,23,24],westbi:[],westby:[],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,23,24],whenev:[13,20],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24],wherea:[6,20],wherein:[1,12],whether:[0,3,5,7,9,20,23],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24],whichev:[1,3],while_p:[3,4,14],white:9,who:[0,19,23],whole:[1,3,4,5,9,11,13],whose:[0,6,10,20,24],whow:[11,24],why:[0,1,3,6,13],wide:[0,1,3,6,7,12,15,17,18,23],widehat:6,width:[0,3,8,9,23],wieringen:[0,23,24],win:10,wind:9,wing:[21,23],winther:2,wiothout:[6,24],wiscons:7,wisconsin:10,wisdom:6,wise:[0,1,5,12,13,24],wish:[0,2,5,7,8,11,13,14,18,23,24],with_std:[0,24],wither:6,within:[0,2,3,4,7,9,12,13,14,20,22,23],withinclust:14,without:[0,1,5,6,8,9,11,12,13,23,24],won:[0,23],wonder:8,woodi:23,word:[0,1,3,4,5,6,7,14,20,23,24],work:[0,1,4,6,7,8,9,13,15,17,19,20,21,23,24],worker:[],workshop:23,world:[0,8,23,24],worldwid:[0,23],wors:[0,1,3,4,6,23],worst:9,worth:9,would:[0,1,3,5,6,7,8,9,10,11,12,13,18,20,23,24],wrap:[3,4,6,14,18,23],wrap_toco:[3,4,14],wrap_util:[2,13],wrapper:[0,23],write:[0,1,2,3,5,6,7,8,12,13,15,16,18,23,24],written:[0,2,3,5,11,12,13,16,17,18,20,23,24],wrong:[1,8],wrongli:10,wrote:[5,11,24],wrt:[2,10,13],wth:[10,13],www:[17,18,22,23],wx_1:8,x0:8,x1:[4,8,9,10,13],x1_exampl:8,x1d:8,x2:[8,9,10,13],x2d:[8,11],x2d_train:11,x2dsl:11,x3:8,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23],x_0:[0,5,11,18,23,24],x_1:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_2:[0,2,5,6,7,8,9,10,11,13,18,20,23,24],x_3:[8,18,20],x_4:18,x_:[0,2,3,5,6,8,10,11,13,14,18,20,23,24],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,18,20,23,24],x_input:2,x_ix_:[0,23],x_iy_i:8,x_j:[0,2,8,9,12,16,20,24],x_jy_j:8,x_k:[12,14,18,20,24],x_l:20,x_m:[6,12,18,20],x_n:[0,2,3,6,8,11,12,13,18,20,23],x_new:[9,10],x_offset:[6,24],x_output:2,x_p:[3,7,9],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:13,x_test:[0,1,3,5,6,7,9,10,11,23,24],x_test_own:6,x_test_scal:[0,6,7,9,10,11,24],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,23,24],x_train_mean:[6,24],x_train_own:6,x_train_scal:[0,6,7,9,10,11,24],x_val:1,xarrai:[17,23],xavier:1,xbnew:13,xcode:[0,15,17,23],xdclassiffierconfus:10,xdclassiffierroc:10,xeinsum:[3,4,14],xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13],xi_1:8,xi_:8,xi_i:8,xk:8,xla:[3,4,13,14,17,23],xla_client:[3,4,14],xla_comput:[3,4,14],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],xlim:[6,10],xm:9,xmesh:13,xnew:[0,13,23],xp:20,xpanda:[0,24],xpd:[5,11,24],xplot:0,xs:9,xscale:[0,24],xsr:9,xt_x:13,xtest:6,xtick:[3,6,8,9],xtrain:6,xu:[0,23],xx:[0,18,23],xy:[0,6,8,18,23],xytext:8,xz:[18,23],y1:4,y2:4,y3:4,y:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,23,24],y_0:[0,5,11,18,23,24],y_1:[0,5,8,9,11,13,18,23,24],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,18,23,24],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,18],y_4:18,y_:[0,1,5,6,10,11,18,23,24],y_data:[0,1,5,6,23,24],y_data_ful:1,y_decis:8,y_fit:[0,24],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,18,23,24],y_if_:10,y_ix_:[0,23],y_ix_i:[7,8,13,24],y_iy_jk:8,y_j:[6,8,12],y_k:12,y_m:18,y_model:[0,4,5,6,23,24],y_n:[8,13],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,24],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,24],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10],y_scaler:6,y_test:[0,1,3,4,5,6,7,9,10,11,23,24],y_test_onehot:1,y_test_predict:[0,24],y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,23,24],y_train_mean:[6,24],y_train_onehot:1,y_train_predict:[0,24],y_train_scal:6,y_val:1,ye:[3,6,7],year:[0,17,23],yet:[0,1,6,8,11,13,23],yhd5w:[],yi:13,yield:[0,2,5,6,8,10,12,13,14,18,20,23],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,20,23,24],ylim:[3,6],ym:9,ymesh:13,yn:0,yo:[8,9,10],yoshua:[1,22],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,20,21,22,24],young:[0,23],your:[1,2,4,5,6,8,11,13,17,18],yourself:[11,13,23],youtu:[],youtub:17,ypred:6,ypredict2:13,ypredict:[0,13,23,24],ypredictlasso:5,ypredictol:[0,5],ypredictown:[6,24],ypredictownridg:6,ypredictridg:[0,5,6],ypredictskl:[6,24],yridg:23,ys:9,ytest:6,ytick:[3,6,8,9],ytild:[0,6,23,24],ytildelasso:5,ytildenp:[0,23,24],ytildeol:[0,5],ytildeownridg:6,ytilderidg:[5,6],ytrain:6,yvqgvcsovpw:[],yx:[18,23],yy:[18,23],yz:[18,23],yzbxji6lgl0:[],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,18,20,23,24],z_0:[18,23],z_1:[18,23],z_2:[18,23],z_:[1,2,12,18,23],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,24],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:20,zaxi:6,zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,20,23,24],zeros_lik:4,zeroth:24,zfill:4,zip:[2,4,6,13],zl:[],zm_h:[0,23],zn:[0,24],zone:[0,24],zoom:23,zx:[18,23],zy:[18,23],zz:[18,23]},titles:["3. Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression"],titleterms:{"1":[0,15,16,23,24],"10":[],"11":[],"12":[],"13":[],"14":[],"15":[],"16":[],"17":[],"18":[],"19":[],"2":[0,15,16,23,24],"20":[],"2021":[],"2022":[],"2023":21,"21":[],"22":[],"23":[],"24":[],"25":[],"26":[],"27":[],"28":[],"29":[],"3":[0,15,16,23,24],"30":[],"31":24,"34":[15,23],"35":[16,24],"36":[],"37":[],"38":[],"39":[],"4":[0,24],"40":[],"41":[],"4155":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"6":[],"7":[],"8":[],"9":[],"case":[8,10,20,24],"do":[1,23],"final":[12,24],"function":[0,1,6,7,8,10,11,12,13,20,23,24],"import":[5,18,23,24],"new":4,A:[0,1,4,8,9,23],And:[23,24],In:21,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,23,24],To:[23,24],With:4,about:[23,24],activ:[1,12],actual:[],ad:[0,6,23,24],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:23,aim:[8,9,23],aka:[23,24],algebra:[18,23],algorithm:[9,10,11,12,24],algortithm:13,all:8,an:[0,4,10,23],analys:[5,24],analysi:[0,5,6,11,17,20,23,24],analyt:[0,16],ani:13,anoth:9,appli:17,approach:[0,8,14,23],approxim:12,architectur:1,arrai:[18,23],assist:21,august:24,autocorrel:20,autograd:[2,13],automat:13,back:[1,11,12],background:17,bag:10,base:13,basic:[0,5,7,9,10,11,18,24],batch:1,bay:5,befor:11,better:8,bia:6,binari:1,bind:23,binomi:[],bird:10,block:[],boldsymbol:24,boost:10,bootstrap:[6,10],boston:[0,24],breast:1,brief:23,bring:12,build:[1,3,9],c:23,calcul:24,can:23,cancer:[1,7,9,11],cart:9,center:24,central:[13,17,20],chain:12,chang:10,channel:23,chi:[0,23],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,23,24],collect:[1,3],commun:23,compar:[2,10],complet:24,complex:[0,6,24],complic:6,compon:11,comput:9,computerlab:23,con:9,concept:20,conjug:13,continu:[],contn:23,convex:[8,13],convolut:[3,12],correl:[11,24],cost:[1,10,24],cours:[17,22,23],covari:[5,11,20,24],cover:23,cross:6,cumul:[],cython:23,data:[0,1,3,6,7,9,11,15,16,17,20,23,24],dataset:[1,3],deadlin:23,decai:2,decis:[9,10],decomposit:[5,11,18,24],deep:[1,2],defin:[1,23],definit:[],degre:[0,24],demonstr:[],dens:[0,23],deriv:[5,12,24],descent:[2,10,13],design:24,detail:[3,23],develop:1,deviat:[],diagon:11,dice:[],differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,24],disadvantag:9,discret:20,disguis:[],distribut:[5,20],doe:24,domain:20,down:1,dropout:1,economi:24,element:[0,20,23],elimin:18,energi:23,ensembl:10,entropi:9,environ:[0,15,23],equat:[0,2,12,23,24],error:[0,10,23,24],essenti:23,etc:23,euler:2,evalu:1,event:[],exampl:[0,1,2,3,4,6,7,8,9,10,23,24],exercis:[0,6,15,16,23,24],expect:20,experi:20,explor:[0,15,16,23],exponenti:2,express:[23,24],extrapol:4,extrem:[10,23],ey:10,fall:21,famili:[1,23,24],famou:18,fantast:24,featur:[9,18,24],feed:[1,12],fine:1,first:[4,12,23,24],fit:[0,10,23],fix:24,forc:3,forest:10,format:23,forward:[1,2,12],fourier:3,frank:[6,24],freedom:[0,24],frequent:24,frequentist:[0,23],from:[5,10,12,24],full:2,further:[3,5,24],fy:[],gan:4,gaussian:18,gd:13,gener:[4,9,23],geometr:11,gini:9,good:[0,23],grade:[21,23],gradient:[1,2,10,13],growth:2,ha:17,handl:[18,23,24],have:23,heard:23,hessian:24,hidden:2,hous:[0,24],how:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ii:23,implement:1,implic:[5,24],improv:1,includ:13,increment:11,index:9,inform:21,input:2,instal:[17,23],instructor:21,intercept:24,interpret:[5,11,23,24],introduc:[11,13,24],introduct:[0,6,17,18,23],invers:[5,18],invert:24,iter:10,its:24,jackknif:[],jacobian:24,jax:13,julia:23,jungl:10,kera:[1,3],kernel:[8,11],lagrangian:8,lasso:[5,6,24],last:24,later:[5,24],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,17,23,24],least:[5,6,23,24],lectur:[23,24],level:10,librari:[17,23],likelihood:7,limit:[1,13,20],linear:[0,8,13,18,23,24],link:[5,11,19,22,24],logist:[7,23],loss:24,lu:18,machin:[0,8,13,17,23],mai:23,main:20,make:[0,9,10,15,16,23,24],mani:[10,12],manipul:24,mass:23,materi:[19,23,24],math:[5,24],mathemat:[3,5,8,24],matric:[5,18,23],matrix:[1,5,11,12,18,23,24],matter:[0,23],max:24,mean:[0,23,24],meet:[5,10,20,23,24],mercer:8,mersenn:[],method:[6,9,10,13],min:24,minim:23,ml:23,mlp:12,mnist:[3,4],model:[0,1,4,6,12,23],moment:[],momentum:13,moon:[8,9],more:[3,6,18,23,24],multilay:12,multipl:[1,3],multipli:8,name:[],need:23,network:[1,2,3,4,7,12,23],neural:[1,2,3,4,7,12,23],non:8,normal:[0,1],norwai:[],notat:12,note:24,novemb:[],now:[1,9,13],nuclear:[0,23],nueral:[],numba:23,number:[0,2,20,24],numer:[2,20],numpi:[18,23],object:3,observ:[],obtain:11,octob:[],od:2,off:6,ol:[5,6],one:[2,12],oper:18,optim:[1,8,13,17,23,24],order:13,ordinari:[5,6,23,24],organ:[0,23],oslo:22,other:[4,9,11,12,18,23,24],our:[0,4,5,11,13,23,24],outcom:[17,23],output:2,overarch:[0,4,8,9,23,24],overview:[10,23],own:[0,10,11,15,16,23,24],packag:[18,23],panda:[23,24],paramet:[23,24],part:[13,17,24],partial:2,pass:1,pca:11,pdf:20,perceptron:12,perform:[1,9],period:3,perspect:1,plan:24,point:4,poisson:2,polynomi:3,popul:2,practic:[13,21,23],pre:[1,3],predict:4,preprocess:24,prerequisit:[3,17,23],princip:11,principl:3,pro:9,probabl:[5,20],problem:[1,2,13,23,24],procedur:[9,23],process:[1,3],program:[2,13],project:[6,23],prop:13,propag:[1,12],properti:[5,20,24],pseudo:[],python:[0,9,15,17,18,23],quick:8,r:23,ran0:[],random:[10,11,20],read:[9,23,24],real:[6,23],recip:[],recommend:[23,24],recurr:[4,12],reduc:[0,24],reduct:3,reformul:2,regress:[0,5,6,7,9,10,13,23,24],regular:1,relat:24,relev:[22,24],relu:1,remark:3,remind:[6,8,23],repeat:24,replac:13,requir:[2,17],resampl:6,rescal:6,residu:24,resourc:2,result:24,revisit:13,rewrit:[23,24],ridg:[0,5,6,24],rm:13,rng:[],rule:12,s:[8,10],same:13,sampl:11,scale:24,schedul:[19,23],schemat:9,scheme:2,scienc:23,scikit:[0,1,11,15,16,23,24],second:13,select:[],semest:21,septemb:[],set:[0,2,3,9,12,15,23,24],sgd:13,should:1,similar:13,simpl:[0,4,9,13,23,24],singl:10,singular:[5,11,24],situat:[],size:24,soft:8,softmax:1,softwar:23,solv:2,solver:13,some:[13,18,23,24],specifi:2,split:[0,15,16,23,24],squar:[0,5,6,10,23,24],standard:[13,24],state:[0,23],statement:23,statist:[5,6,17,20,23],steepest:[10,13],still:24,stk3155:[],stochast:[13,20],strongli:23,subtract:24,suggest:23,summari:[21,23],superposit:3,supervis:1,support:8,svd:[5,24],systemat:3,t:24,teach:[19,21],teacher:[21,23],techniqu:[6,11],technolog:17,tensorflow:[1,3],tent:23,test:[0,1,15,16,23,24],textbook:[22,23],thei:23,theorem:[5,8,11,12,20],theori:20,thi:23,think:24,three:[],thursdai:24,tip:13,togeth:12,tool:23,top:1,topic:23,toss:[],toward:11,trade:6,tradeoff:6,train:[0,1,4,15,16,23,24],transform:3,tree:[9,10],tune:1,two:[3,8,17,24],type:[2,4,12,23],uio:23,uncorrel:[],uniform:[],univers:[12,22],unsupervis:14,up:[0,2,9,12,15,23,24],us:[0,1,2,3,7,13,17,23,24],valid:6,valu:[5,11,20,24],variabl:20,varianc:6,variou:[0,15,23],vector:[8,12,18,23,24],view:[0,4,10,24],visual:[1,9],vs:3,wai:9,wave:2,we:23,week:[15,16,23,24],weekli:19,what:[0,23,24],which:1,why:[23,24],wisconsin:7,wrap:24,write:[4,11],x:24,xgboost:10,you:23,your:[0,10,15,16,23,24]}}) \ No newline at end of file diff --git a/doc/LectureNotes/_build/html/week35.html b/doc/LectureNotes/_build/html/week35.html index 7f2425580..f0fc0e886 100644 --- a/doc/LectureNotes/_build/html/week35.html +++ b/doc/LectureNotes/_build/html/week35.html @@ -1611,7 +1611,7 @@ Since we are not using Scikit-Learn here we can define our own
-
0.9959898232423614
+
0.9963202597920238
@@ -1628,7 +1628,7 @@ Since we are not using Scikit-Learn here we can define our own
-
0.008278885543361304
+
0.008550594684081035
@@ -1643,23 +1643,31 @@ Since we are not using Scikit-Learn here we can define our own
-
[0.02970592 0.01381723 0.01572164 0.02401344 0.06008452 0.0084603
- 0.00506501 0.08734015 0.00145838 0.00779538 0.00046714 0.02971158
- 0.02263868 0.02541796 0.02724253 0.04120281 0.00578776 0.01574375
- 0.08923158 0.03510756 0.00373019 0.03206303 0.02008059 0.03533092
- 0.01558461 0.00733497 0.01770163 0.03026672 0.05698425 0.02766981
- 0.02421521 0.00943261 0.00207627 0.03352725 0.00139198 0.00770648
- 0.03078597 0.00355175 0.00432302 0.04554454 0.05892262 0.0097018
- 0.04100738 0.03232013 0.02747522 0.04208001 0.00252344 0.03080664
- 0.00437363 0.01614046 0.00158723 0.01471878 0.03235599 0.01285424
- 0.01494533 0.01006893 0.01248731 0.0317159  0.02226654 0.0189082
- 0.01923991 0.01816821 0.02900131 0.0123679  0.08684675 0.00934728
- 0.04331431 0.01574091 0.00017471 0.0164286  0.00118368 0.00839839
- 0.00548686 0.02596838 0.02058701 0.00661104 0.02708158 0.03187054
- 0.0171347  0.04573057 0.04735806 0.00131939 0.00704468 0.02422503
- 0.02818883 0.003738   0.02212893 0.00732273 0.02212776 0.0202731
- 0.0214539  0.02712723 0.02200044 0.01588614 0.03610331 0.02808201
- 0.00801078 0.01885351 0.00458671 0.01133171]
+
[1.09846636e-02 2.39074222e-02 4.94861749e-03 4.55640387e-02
+ 1.31193395e-02 1.62470815e-03 2.46575843e-02 7.80638926e-02
+ 2.19677483e-02 3.99901131e-02 2.68626148e-03 3.97731700e-02
+ 4.79285683e-02 6.69363975e-02 1.02951554e-02 3.69826476e-02
+ 6.29115152e-03 8.12289498e-02 3.11909685e-03 7.77144798e-04
+ 8.15320771e-03 2.45720968e-02 5.12803365e-02 2.34378387e-02
+ 2.33645986e-02 1.17796101e-02 2.80344720e-02 8.92995253e-02
+ 1.24844778e-02 4.21582995e-02 1.89591553e-02 2.75357959e-02
+ 2.44906236e-02 1.84031027e-02 2.09739330e-02 5.70421972e-03
+ 2.55914617e-02 4.10427270e-02 6.55907387e-04 4.63734811e-03
+ 8.42882114e-03 1.00851638e-04 5.19264104e-02 1.94917559e-05
+ 6.96542994e-03 4.08924325e-03 4.08743287e-03 9.75853556e-03
+ 4.04075841e-02 2.70473799e-02 1.72199579e-02 4.24501973e-02
+ 7.08373167e-04 4.25201286e-02 5.69487891e-03 3.18217743e-03
+ 1.85979474e-02 4.82250097e-02 8.96735081e-02 5.53952664e-02
+ 5.51900727e-02 4.98842948e-03 1.30232456e-02 3.45220770e-02
+ 4.12394241e-02 1.46400080e-02 2.27932015e-02 1.16054190e-03
+ 1.53971260e-02 3.77533038e-02 8.53502096e-03 1.82404007e-02
+ 1.86014003e-02 2.93792215e-02 3.66950317e-02 2.15456415e-02
+ 2.21576737e-02 8.38730917e-03 2.98005862e-02 2.03932541e-03
+ 4.60083846e-03 7.02160095e-03 5.76598941e-03 9.56807589e-03
+ 3.49730046e-02 1.61899355e-02 1.47158029e-02 6.09404851e-04
+ 5.14724135e-03 3.92916438e-02 2.88352503e-02 5.61520194e-02
+ 4.33646268e-02 3.26506981e-03 1.51400374e-02 1.10235180e-02
+ 7.63332882e-03 2.93229640e-02 6.85071429e-03 2.29148545e-03]
@@ -1728,15 +1736,15 @@ but now splitting the data into a training set and a test set.

-
[ 2.00025531  0.8850944  -0.44894073 10.27580794 -5.9383327 ]
+
[ 1.90813514  0.65746064  4.09759873 -0.08945041  0.46023985]
 Training R2
-0.9960039497353536
+0.9965048209369255
 Training MSE
-0.007839875253055148
+0.008089688732934681
 Test R2
-0.9962074631757628
+0.9963525271588923
 Test MSE
-0.006275173922218319
+0.0072559952738542694
@@ -3448,7 +3456,7 @@ decomposition of the design matrix.

\[ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{\Sigma}\boldsymbol{V}^T\left(\boldsymbol{V}\tilde{\boldsymbol{\Sigma}}^{2}(\boldsymbol{V}^T\right)^{-1}\boldsymbol{V}\boldsymbol{\Sigma}^T\boldsymbol{U}^T\boldsymbol{y}, \]
-

which gives us, using the orthogonality of the matrices \(\boldsymbol{U}\) and \(\boldsymbol{V}\),

+

which gives us, using the orthogonality of the matrix \(\boldsymbol{V}\),

\[ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, @@ -3456,8 +3464,10 @@ decomposition of the design matrix.

It means that the ordinary least square model (with the optimal parameters) \(\boldsymbol{\tilde{y}}\), corresponds to an orthogonal transformation of the output (or target) vector \(\boldsymbol{y}\) by the -vectors of the matrix \(\boldsymbol{U}\). Note that the summation ends at \(p-1\), -that is \(\boldsymbol{\tilde{y}}\ne \boldsymbol{y}\).

+vectors of the matrix \(\boldsymbol{U}\). Note that the summation ends at +\(p-1\), that is \(\boldsymbol{\tilde{y}}\ne \boldsymbol{y}\). We can thus not use the +orthogonality relation for the matrix \(\boldsymbol{U}\). This can already be +when we multiply the matrices \(\boldsymbol{\Sigma}^T\boldsymbol{U}^T\).

Further properties (important for our analyses later)¶

diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.ipynb b/doc/LectureNotes/_build/jupyter_execute/week35.ipynb index a5d97f870..058045d2f 100644 --- a/doc/LectureNotes/_build/jupyter_execute/week35.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "be53b5a0", + "id": "0babeebd", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "ea9aa8ba", + "id": "97c00fa1", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "1682c283", + "id": "e4a3ef03", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "06e8536b", + "id": "cce1437b", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "78f54d26", + "id": "52737d8a", "metadata": { "editable": true }, @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "94c25631", + "id": "671d6e88", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "a42b88dc", + "id": "ff12276e", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "3171d71c", + "id": "047c45e4", "metadata": { "editable": true }, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "e70f9acc", + "id": "429101eb", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "2379d06d", + "id": "c5e3146c", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "643717b0", + "id": "7dbe051b", "metadata": { "editable": true }, @@ -182,7 +182,7 @@ }, { "cell_type": "markdown", - "id": "378c280f", + "id": "4fc0ccc9", "metadata": { "editable": true }, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "e52a2672", + "id": "b74ac188", "metadata": { "editable": true }, @@ -207,7 +207,7 @@ }, { "cell_type": "markdown", - "id": "cce68c3d", + "id": "3dd89363", "metadata": { "editable": true }, @@ -219,7 +219,7 @@ }, { "cell_type": "markdown", - "id": "f8c11724", + "id": "f9c8ee6d", "metadata": { "editable": true }, @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "a139ab45", + "id": "f1a7d81e", "metadata": { "editable": true }, @@ -241,7 +241,7 @@ }, { "cell_type": "markdown", - "id": "089dec59", + "id": "5e470402", "metadata": { "editable": true }, @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "570e9155", + "id": "de2d1c2e", "metadata": { "editable": true }, @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "2c6cbd01", + "id": "9f2c6a27", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "daaf53c3", + "id": "f2a53c69", "metadata": { "editable": true }, @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "186a0c23", + "id": "0e6be165", "metadata": { "editable": true }, @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "e83c76fe", + "id": "7e1aa69e", "metadata": { "editable": true }, @@ -311,7 +311,7 @@ }, { "cell_type": "markdown", - "id": "48869faa", + "id": "b6808670", "metadata": { "editable": true }, @@ -323,7 +323,7 @@ }, { "cell_type": "markdown", - "id": "09ef84bc", + "id": "1681f8b5", "metadata": { "editable": true }, @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "a3573593", + "id": "079581c8", "metadata": { "editable": true }, @@ -355,7 +355,7 @@ }, { "cell_type": "markdown", - "id": "0cf80555", + "id": "d2d8bbbe", "metadata": { "editable": true }, @@ -365,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "9a5943d2", + "id": "b6f6fa32", "metadata": { "editable": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "markdown", - "id": "614492f6", + "id": "c40e93cb", "metadata": { "editable": true }, @@ -387,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "e151cfa1", + "id": "817e6b7e", "metadata": { "editable": true }, @@ -399,7 +399,7 @@ }, { "cell_type": "markdown", - "id": "1e2877d6", + "id": "9e81cba3", "metadata": { "editable": true }, @@ -409,7 +409,7 @@ }, { "cell_type": "markdown", - "id": "62ea2b3f", + "id": "f444a6f6", "metadata": { "editable": true }, @@ -421,7 +421,7 @@ }, { "cell_type": "markdown", - "id": "8b2e0f0e", + "id": "c0a4d2f3", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "08983f5f", + "id": "b4fb52ac", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "0220251b", + "id": "625eedb8", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "d80df328", + "id": "e4860d6a", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "838e6fcc", + "id": "f3dbaea0", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "49bab4db", + "id": "12a58017", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "a9f8042e", + "id": "9e01c27e", "metadata": { "editable": true }, @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "41a2f792", + "id": "1a674207", "metadata": { "editable": true }, @@ -535,7 +535,7 @@ }, { "cell_type": "markdown", - "id": "2cd68700", + "id": "32d78057", "metadata": { "editable": true }, @@ -547,7 +547,7 @@ }, { "cell_type": "markdown", - "id": "45e00b5c", + "id": "b05fa6a7", "metadata": { "editable": true }, @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "0d8f4073", + "id": "5d01c3c2", "metadata": { "editable": true }, @@ -575,7 +575,7 @@ }, { "cell_type": "markdown", - "id": "32b84460", + "id": "f6abac54", "metadata": { "editable": true }, @@ -593,7 +593,7 @@ }, { "cell_type": "markdown", - "id": "b1603479", + "id": "83090779", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ }, { "cell_type": "markdown", - "id": "6b964217", + "id": "af17b7d4", "metadata": { "editable": true }, @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "ef7da021", + "id": "c67fb280", "metadata": { "editable": true }, @@ -628,7 +628,7 @@ }, { "cell_type": "markdown", - "id": "f36afc00", + "id": "e3289be1", "metadata": { "editable": true }, @@ -640,7 +640,7 @@ }, { "cell_type": "markdown", - "id": "c86b67b1", + "id": "edc4fe47", "metadata": { "editable": true }, @@ -650,7 +650,7 @@ }, { "cell_type": "markdown", - "id": "9f824fc3", + "id": "cae8f055", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "13294ac7", + "id": "cac6ff9f", "metadata": { "editable": true }, @@ -676,7 +676,7 @@ }, { "cell_type": "markdown", - "id": "d7e5700e", + "id": "50d4f5da", "metadata": { "editable": true }, @@ -688,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "1f1b9622", + "id": "150da64e", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ }, { "cell_type": "markdown", - "id": "d22ff920", + "id": "95b20a47", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ }, { "cell_type": "markdown", - "id": "308eae89", + "id": "51b0e4e3", "metadata": { "editable": true }, @@ -722,7 +722,7 @@ }, { "cell_type": "markdown", - "id": "69df69e0", + "id": "d6e1d862", "metadata": { "editable": true }, @@ -734,7 +734,7 @@ }, { "cell_type": "markdown", - "id": "989c0888", + "id": "bad539c1", "metadata": { "editable": true }, @@ -746,7 +746,7 @@ }, { "cell_type": "markdown", - "id": "796e59d4", + "id": "4a4f0d75", "metadata": { "editable": true }, @@ -758,7 +758,7 @@ }, { "cell_type": "markdown", - "id": "0ecc2fbb", + "id": "a71b3c23", "metadata": { "editable": true }, @@ -772,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "7f541061", + "id": "88befc96", "metadata": { "editable": true }, @@ -784,7 +784,7 @@ }, { "cell_type": "markdown", - "id": "150fcbf6", + "id": "d3f17e84", "metadata": { "editable": true }, @@ -796,7 +796,7 @@ }, { "cell_type": "markdown", - "id": "27b04c69", + "id": "daccd41d", "metadata": { "editable": true }, @@ -808,7 +808,7 @@ }, { "cell_type": "markdown", - "id": "9d121c2b", + "id": "00b3204d", "metadata": { "editable": true }, @@ -818,7 +818,7 @@ }, { "cell_type": "markdown", - "id": "de64d430", + "id": "8be5135b", "metadata": { "editable": true }, @@ -830,7 +830,7 @@ }, { "cell_type": "markdown", - "id": "60392be8", + "id": "0f573683", "metadata": { "editable": true }, @@ -840,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "3eeb0762", + "id": "bc6a156c", "metadata": { "editable": true }, @@ -852,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "5acbe964", + "id": "83c196bf", "metadata": { "editable": true }, @@ -862,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "a5e67241", + "id": "a350d475", "metadata": { "editable": true }, @@ -874,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "d80219d2", + "id": "4b7eabaf", "metadata": { "editable": true }, @@ -886,7 +886,7 @@ }, { "cell_type": "markdown", - "id": "7ec6b553", + "id": "90736966", "metadata": { "editable": true }, @@ -898,7 +898,7 @@ }, { "cell_type": "markdown", - "id": "bcd2cdff", + "id": "bb9a16ec", "metadata": { "editable": true }, @@ -913,7 +913,7 @@ }, { "cell_type": "markdown", - "id": "7160434b", + "id": "52518d34", "metadata": { "editable": true }, @@ -925,7 +925,7 @@ }, { "cell_type": "markdown", - "id": "ae1d7aa6", + "id": "139726b2", "metadata": { "editable": true }, @@ -935,7 +935,7 @@ }, { "cell_type": "markdown", - "id": "5ced56fe", + "id": "5684873d", "metadata": { "editable": true }, @@ -947,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "78444018", + "id": "acfde1eb", "metadata": { "editable": true }, @@ -957,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "4207abea", + "id": "db5a6f27", "metadata": { "editable": true }, @@ -969,7 +969,7 @@ }, { "cell_type": "markdown", - "id": "5ca388cb", + "id": "2b343d82", "metadata": { "editable": true }, @@ -979,7 +979,7 @@ }, { "cell_type": "markdown", - "id": "76bcca31", + "id": "6c2f023d", "metadata": { "editable": true }, @@ -991,7 +991,7 @@ }, { "cell_type": "markdown", - "id": "72a7c5d6", + "id": "7c575a3d", "metadata": { "editable": true }, @@ -1003,7 +1003,7 @@ }, { "cell_type": "markdown", - "id": "8ddd5a6c", + "id": "9cdd12ae", "metadata": { "editable": true }, @@ -1015,7 +1015,7 @@ }, { "cell_type": "markdown", - "id": "4ce22956", + "id": "2c747ecf", "metadata": { "editable": true }, @@ -1025,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "7a7a8220", + "id": "a1f1cac6", "metadata": { "editable": true }, @@ -1037,7 +1037,7 @@ }, { "cell_type": "markdown", - "id": "660f5feb", + "id": "38f0c38d", "metadata": { "editable": true }, @@ -1050,7 +1050,7 @@ }, { "cell_type": "markdown", - "id": "35130b19", + "id": "6e6e7a18", "metadata": { "editable": true }, @@ -1062,7 +1062,7 @@ }, { "cell_type": "markdown", - "id": "43929a90", + "id": "d0a300bf", "metadata": { "editable": true }, @@ -1072,7 +1072,7 @@ }, { "cell_type": "markdown", - "id": "b9484098", + "id": "8606b2f5", "metadata": { "editable": true }, @@ -1084,7 +1084,7 @@ }, { "cell_type": "markdown", - "id": "a8366c58", + "id": "8e808f42", "metadata": { "editable": true }, @@ -1094,7 +1094,7 @@ }, { "cell_type": "markdown", - "id": "22ff6985", + "id": "e60692f9", "metadata": { "editable": true }, @@ -1106,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "8129f022", + "id": "191a1403", "metadata": { "editable": true }, @@ -1116,7 +1116,7 @@ }, { "cell_type": "markdown", - "id": "d8ff6bb2", + "id": "85a48dc2", "metadata": { "editable": true }, @@ -1128,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "c8f81b3f", + "id": "322515bc", "metadata": { "editable": true }, @@ -1138,7 +1138,7 @@ }, { "cell_type": "markdown", - "id": "69af2c51", + "id": "07e78aa4", "metadata": { "editable": true }, @@ -1150,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "c9e254ef", + "id": "55e68f23", "metadata": { "editable": true }, @@ -1160,7 +1160,7 @@ }, { "cell_type": "markdown", - "id": "b1377365", + "id": "c4198d70", "metadata": { "editable": true }, @@ -1172,7 +1172,7 @@ }, { "cell_type": "markdown", - "id": "52258121", + "id": "b7d6fda2", "metadata": { "editable": true }, @@ -1184,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "7785c30e", + "id": "f76130c7", "metadata": { "editable": true }, @@ -1196,7 +1196,7 @@ }, { "cell_type": "markdown", - "id": "ba371063", + "id": "1eda8311", "metadata": { "editable": true }, @@ -1208,7 +1208,7 @@ }, { "cell_type": "markdown", - "id": "905ad22c", + "id": "cbcfc4ac", "metadata": { "editable": true }, @@ -1220,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "0f770989", + "id": "15f400be", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "c4c4d825", + "id": "1ea079a0", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "bca9faf0", + "id": "c55b7c42", "metadata": { "editable": true }, @@ -1258,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "678d6d8d", + "id": "74f1cbc2", "metadata": { "editable": true }, @@ -1270,7 +1270,7 @@ }, { "cell_type": "markdown", - "id": "9f18b73a", + "id": "281c8820", "metadata": { "editable": true }, @@ -1288,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "a738b78b", + "id": "cf35f2b0", "metadata": { "editable": true }, @@ -1300,7 +1300,7 @@ }, { "cell_type": "markdown", - "id": "c4325fac", + "id": "8db5ad71", "metadata": { "editable": true }, @@ -1312,7 +1312,7 @@ }, { "cell_type": "markdown", - "id": "d32fe699", + "id": "f39e2160", "metadata": { "editable": true }, @@ -1322,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "bdabaf26", + "id": "3e4e4e8d", "metadata": { "editable": true }, @@ -1334,7 +1334,7 @@ }, { "cell_type": "markdown", - "id": "1a13e693", + "id": "0323a489", "metadata": { "editable": true }, @@ -1344,7 +1344,7 @@ }, { "cell_type": "markdown", - "id": "b26dc6ec", + "id": "10339395", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "f42cbab8", + "id": "0b22fc31", "metadata": { "editable": true }, @@ -1366,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "a73bb0ea", + "id": "494b1a28", "metadata": { "editable": true }, @@ -1380,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "c1c8da9d", + "id": "d20c96cf", "metadata": { "editable": true }, @@ -1392,7 +1392,7 @@ }, { "cell_type": "markdown", - "id": "2ca0aef5", + "id": "7f81444b", "metadata": { "editable": true }, @@ -1403,7 +1403,7 @@ }, { "cell_type": "markdown", - "id": "d18683ee", + "id": "f81d6764", "metadata": { "editable": true }, @@ -1416,7 +1416,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "a4ea6710", + "id": "83225daf", "metadata": { "collapsed": false, "editable": true @@ -1443,7 +1443,7 @@ }, { "cell_type": "markdown", - "id": "6fb0024c", + "id": "f432b3ff", "metadata": { "editable": true }, @@ -1454,7 +1454,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "72a80735", + "id": "04b2ece5", "metadata": { "collapsed": false, "editable": true @@ -1467,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "3768a40c", + "id": "8467ac97", "metadata": { "editable": true }, @@ -1481,7 +1481,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "d5af18c7", + "id": "fb24217a", "metadata": { "collapsed": false, "editable": true @@ -1494,7 +1494,7 @@ }, { "cell_type": "markdown", - "id": "92c5153f", + "id": "95050d99", "metadata": { "editable": true }, @@ -1505,7 +1505,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "09511b52", + "id": "7daecb54", "metadata": { "collapsed": false, "editable": true @@ -1515,7 +1515,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.9959898232423614\n" + "0.9963202597920238\n" ] } ], @@ -1525,7 +1525,7 @@ }, { "cell_type": "markdown", - "id": "d92d6b51", + "id": "616c641c", "metadata": { "editable": true }, @@ -1536,7 +1536,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "4e16843d", + "id": "ad94a295", "metadata": { "collapsed": false, "editable": true @@ -1546,7 +1546,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.008278885543361304\n" + "0.008550594684081035\n" ] } ], @@ -1560,7 +1560,7 @@ }, { "cell_type": "markdown", - "id": "acef1cf8", + "id": "afb8bdc0", "metadata": { "editable": true }, @@ -1571,7 +1571,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "11d5e613", + "id": "d9382131", "metadata": { "collapsed": false, "editable": true @@ -1581,23 +1581,31 @@ "name": "stdout", "output_type": "stream", "text": [ - "[0.02970592 0.01381723 0.01572164 0.02401344 0.06008452 0.0084603\n", - " 0.00506501 0.08734015 0.00145838 0.00779538 0.00046714 0.02971158\n", - " 0.02263868 0.02541796 0.02724253 0.04120281 0.00578776 0.01574375\n", - " 0.08923158 0.03510756 0.00373019 0.03206303 0.02008059 0.03533092\n", - " 0.01558461 0.00733497 0.01770163 0.03026672 0.05698425 0.02766981\n", - " 0.02421521 0.00943261 0.00207627 0.03352725 0.00139198 0.00770648\n", - " 0.03078597 0.00355175 0.00432302 0.04554454 0.05892262 0.0097018\n", - " 0.04100738 0.03232013 0.02747522 0.04208001 0.00252344 0.03080664\n", - " 0.00437363 0.01614046 0.00158723 0.01471878 0.03235599 0.01285424\n", - " 0.01494533 0.01006893 0.01248731 0.0317159 0.02226654 0.0189082\n", - " 0.01923991 0.01816821 0.02900131 0.0123679 0.08684675 0.00934728\n", - " 0.04331431 0.01574091 0.00017471 0.0164286 0.00118368 0.00839839\n", - " 0.00548686 0.02596838 0.02058701 0.00661104 0.02708158 0.03187054\n", - " 0.0171347 0.04573057 0.04735806 0.00131939 0.00704468 0.02422503\n", - " 0.02818883 0.003738 0.02212893 0.00732273 0.02212776 0.0202731\n", - " 0.0214539 0.02712723 0.02200044 0.01588614 0.03610331 0.02808201\n", - " 0.00801078 0.01885351 0.00458671 0.01133171]\n" + "[1.09846636e-02 2.39074222e-02 4.94861749e-03 4.55640387e-02\n", + " 1.31193395e-02 1.62470815e-03 2.46575843e-02 7.80638926e-02\n", + " 2.19677483e-02 3.99901131e-02 2.68626148e-03 3.97731700e-02\n", + " 4.79285683e-02 6.69363975e-02 1.02951554e-02 3.69826476e-02\n", + " 6.29115152e-03 8.12289498e-02 3.11909685e-03 7.77144798e-04\n", + " 8.15320771e-03 2.45720968e-02 5.12803365e-02 2.34378387e-02\n", + " 2.33645986e-02 1.17796101e-02 2.80344720e-02 8.92995253e-02\n", + " 1.24844778e-02 4.21582995e-02 1.89591553e-02 2.75357959e-02\n", + " 2.44906236e-02 1.84031027e-02 2.09739330e-02 5.70421972e-03\n", + " 2.55914617e-02 4.10427270e-02 6.55907387e-04 4.63734811e-03\n", + " 8.42882114e-03 1.00851638e-04 5.19264104e-02 1.94917559e-05\n", + " 6.96542994e-03 4.08924325e-03 4.08743287e-03 9.75853556e-03\n", + " 4.04075841e-02 2.70473799e-02 1.72199579e-02 4.24501973e-02\n", + " 7.08373167e-04 4.25201286e-02 5.69487891e-03 3.18217743e-03\n", + " 1.85979474e-02 4.82250097e-02 8.96735081e-02 5.53952664e-02\n", + " 5.51900727e-02 4.98842948e-03 1.30232456e-02 3.45220770e-02\n", + " 4.12394241e-02 1.46400080e-02 2.27932015e-02 1.16054190e-03\n", + " 1.53971260e-02 3.77533038e-02 8.53502096e-03 1.82404007e-02\n", + " 1.86014003e-02 2.93792215e-02 3.66950317e-02 2.15456415e-02\n", + " 2.21576737e-02 8.38730917e-03 2.98005862e-02 2.03932541e-03\n", + " 4.60083846e-03 7.02160095e-03 5.76598941e-03 9.56807589e-03\n", + " 3.49730046e-02 1.61899355e-02 1.47158029e-02 6.09404851e-04\n", + " 5.14724135e-03 3.92916438e-02 2.88352503e-02 5.61520194e-02\n", + " 4.33646268e-02 3.26506981e-03 1.51400374e-02 1.10235180e-02\n", + " 7.63332882e-03 2.93229640e-02 6.85071429e-03 2.29148545e-03]\n" ] } ], @@ -1609,7 +1617,7 @@ }, { "cell_type": "markdown", - "id": "216b1096", + "id": "81a3e982", "metadata": { "editable": true }, @@ -1630,7 +1638,7 @@ }, { "cell_type": "markdown", - "id": "8fa67728", + "id": "f58f6c21", "metadata": { "editable": true }, @@ -1641,7 +1649,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "28c9c5f2", + "id": "bb9a3b77", "metadata": { "collapsed": false, "editable": true @@ -1651,15 +1659,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "[ 2.00025531 0.8850944 -0.44894073 10.27580794 -5.9383327 ]\n", + "[ 1.90813514 0.65746064 4.09759873 -0.08945041 0.46023985]\n", "Training R2\n", - "0.9960039497353536\n", + "0.9965048209369255\n", "Training MSE\n", - "0.007839875253055148\n", + "0.008089688732934681\n", "Test R2\n", - "0.9962074631757628\n", + "0.9963525271588923\n", "Test MSE\n", - "0.006275173922218319\n" + "0.0072559952738542694\n" ] } ], @@ -1710,7 +1718,7 @@ }, { "cell_type": "markdown", - "id": "97af1cca", + "id": "c977c2ac", "metadata": { "editable": true }, @@ -1721,7 +1729,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e4ca68c4", + "id": "2676b30f", "metadata": { "collapsed": false, "editable": true @@ -1746,7 +1754,7 @@ }, { "cell_type": "markdown", - "id": "16a219af", + "id": "53eb00be", "metadata": { "editable": true }, @@ -1758,7 +1766,7 @@ }, { "cell_type": "markdown", - "id": "d99baccc", + "id": "893ea33c", "metadata": { "editable": true }, @@ -1787,7 +1795,7 @@ }, { "cell_type": "markdown", - "id": "382627de", + "id": "fcfef74e", "metadata": { "editable": true }, @@ -1812,7 +1820,7 @@ }, { "cell_type": "markdown", - "id": "dbe9c5e7", + "id": "40a6072e", "metadata": { "editable": true }, @@ -1832,7 +1840,7 @@ }, { "cell_type": "markdown", - "id": "76afa0fa", + "id": "6464d00e", "metadata": { "editable": true }, @@ -1859,7 +1867,7 @@ }, { "cell_type": "markdown", - "id": "7a3ee226", + "id": "f69bee17", "metadata": { "editable": true }, @@ -1872,7 +1880,7 @@ }, { "cell_type": "markdown", - "id": "a3b3ad3e", + "id": "ae4d66ae", "metadata": { "editable": true }, @@ -1884,7 +1892,7 @@ }, { "cell_type": "markdown", - "id": "5c0f36af", + "id": "9a60e683", "metadata": { "editable": true }, @@ -1895,7 +1903,7 @@ }, { "cell_type": "markdown", - "id": "3de5eca9", + "id": "45315f93", "metadata": { "editable": true }, @@ -1911,7 +1919,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "e836c1eb", + "id": "7fe845e8", "metadata": { "collapsed": false, "editable": true @@ -2354,7 +2362,7 @@ }, { "cell_type": "markdown", - "id": "03c9b6b3", + "id": "049d9edb", "metadata": { "editable": true }, @@ -2364,7 +2372,7 @@ }, { "cell_type": "markdown", - "id": "ecabe53c", + "id": "e098f1e2", "metadata": { "editable": true }, @@ -2379,7 +2387,7 @@ }, { "cell_type": "markdown", - "id": "daa74ff5", + "id": "afe0f097", "metadata": { "editable": true }, @@ -2391,7 +2399,7 @@ }, { "cell_type": "markdown", - "id": "4bf5d4cc", + "id": "8c4c32c9", "metadata": { "editable": true }, @@ -2401,7 +2409,7 @@ }, { "cell_type": "markdown", - "id": "bff437d3", + "id": "3e3af961", "metadata": { "editable": true }, @@ -2417,7 +2425,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "e4815d9d", + "id": "364363ed", "metadata": { "collapsed": false, "editable": true @@ -2434,7 +2442,7 @@ }, { "cell_type": "markdown", - "id": "ac106c70", + "id": "f85005a3", "metadata": { "editable": true }, @@ -2447,7 +2455,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "b3b4d1c5", + "id": "47c9afad", "metadata": { "collapsed": false, "editable": true @@ -2509,7 +2517,7 @@ }, { "cell_type": "markdown", - "id": "588605a3", + "id": "2d522b5b", "metadata": { "editable": true }, @@ -2520,7 +2528,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "eac5c19b", + "id": "0aed60c8", "metadata": { "collapsed": false, "editable": true @@ -2656,7 +2664,7 @@ }, { "cell_type": "markdown", - "id": "e09cfcf0", + "id": "fa165453", "metadata": { "editable": true }, @@ -2684,7 +2692,7 @@ }, { "cell_type": "markdown", - "id": "2bbf93a9", + "id": "734df471", "metadata": { "editable": true }, @@ -2719,7 +2727,7 @@ }, { "cell_type": "markdown", - "id": "51f3121a", + "id": "b6bde2ec", "metadata": { "editable": true }, @@ -2734,7 +2742,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "e5bfd742", + "id": "0e49b148", "metadata": { "collapsed": false, "editable": true @@ -2759,7 +2767,7 @@ }, { "cell_type": "markdown", - "id": "61e91fe1", + "id": "a4397707", "metadata": { "editable": true }, @@ -2775,7 +2783,7 @@ }, { "cell_type": "markdown", - "id": "02fa2126", + "id": "0c113b92", "metadata": { "editable": true }, @@ -2787,7 +2795,7 @@ }, { "cell_type": "markdown", - "id": "c5ea5b96", + "id": "18d476bc", "metadata": { "editable": true }, @@ -2802,7 +2810,7 @@ }, { "cell_type": "markdown", - "id": "6dbfbe9a", + "id": "3cf3b752", "metadata": { "editable": true }, @@ -2814,7 +2822,7 @@ }, { "cell_type": "markdown", - "id": "e3318d8a", + "id": "ed2af561", "metadata": { "editable": true }, @@ -2824,7 +2832,7 @@ }, { "cell_type": "markdown", - "id": "7a7f2bb0", + "id": "b37a9e65", "metadata": { "editable": true }, @@ -2836,7 +2844,7 @@ }, { "cell_type": "markdown", - "id": "7b9072eb", + "id": "f9775ea0", "metadata": { "editable": true }, @@ -2846,7 +2854,7 @@ }, { "cell_type": "markdown", - "id": "fb9fc6af", + "id": "cecd5fc2", "metadata": { "editable": true }, @@ -2858,7 +2866,7 @@ }, { "cell_type": "markdown", - "id": "5b1d9bae", + "id": "52fcc61e", "metadata": { "editable": true }, @@ -2871,7 +2879,7 @@ }, { "cell_type": "markdown", - "id": "aa9d7398", + "id": "000d54d2", "metadata": { "editable": true }, @@ -2883,7 +2891,7 @@ }, { "cell_type": "markdown", - "id": "1ba94b15", + "id": "0fed9be4", "metadata": { "editable": true }, @@ -2893,7 +2901,7 @@ }, { "cell_type": "markdown", - "id": "2c91f4b9", + "id": "0c61aa7b", "metadata": { "editable": true }, @@ -2905,7 +2913,7 @@ }, { "cell_type": "markdown", - "id": "f227a642", + "id": "b390be2f", "metadata": { "editable": true }, @@ -2915,7 +2923,7 @@ }, { "cell_type": "markdown", - "id": "744d6fcc", + "id": "aab8c64c", "metadata": { "editable": true }, @@ -2927,7 +2935,7 @@ }, { "cell_type": "markdown", - "id": "c07272e6", + "id": "269cff24", "metadata": { "editable": true }, @@ -2937,7 +2945,7 @@ }, { "cell_type": "markdown", - "id": "28b1cf18", + "id": "66e6ecf2", "metadata": { "editable": true }, @@ -2949,7 +2957,7 @@ }, { "cell_type": "markdown", - "id": "d9e5287b", + "id": "33bddc5a", "metadata": { "editable": true }, @@ -2959,7 +2967,7 @@ }, { "cell_type": "markdown", - "id": "d2b5ee59", + "id": "1e81b738", "metadata": { "editable": true }, @@ -2971,7 +2979,7 @@ }, { "cell_type": "markdown", - "id": "ae591a22", + "id": "b182f371", "metadata": { "editable": true }, @@ -2981,7 +2989,7 @@ }, { "cell_type": "markdown", - "id": "bbb4efc5", + "id": "97caf464", "metadata": { "editable": true }, @@ -2993,7 +3001,7 @@ }, { "cell_type": "markdown", - "id": "76c37a89", + "id": "d44cf34a", "metadata": { "editable": true }, @@ -3003,7 +3011,7 @@ }, { "cell_type": "markdown", - "id": "ac78f014", + "id": "98301664", "metadata": { "editable": true }, @@ -3015,7 +3023,7 @@ }, { "cell_type": "markdown", - "id": "01c57df2", + "id": "c10a9495", "metadata": { "editable": true }, @@ -3027,7 +3035,7 @@ }, { "cell_type": "markdown", - "id": "5c77be60", + "id": "e55bc871", "metadata": { "editable": true }, @@ -3039,7 +3047,7 @@ }, { "cell_type": "markdown", - "id": "7448d02c", + "id": "6033356d", "metadata": { "editable": true }, @@ -3052,7 +3060,7 @@ }, { "cell_type": "markdown", - "id": "6b16f287", + "id": "d064973a", "metadata": { "editable": true }, @@ -3064,7 +3072,7 @@ }, { "cell_type": "markdown", - "id": "d6f810af", + "id": "21607d44", "metadata": { "editable": true }, @@ -3074,7 +3082,7 @@ }, { "cell_type": "markdown", - "id": "6b506524", + "id": "55a9f200", "metadata": { "editable": true }, @@ -3088,7 +3096,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "d39358da", + "id": "35f99de0", "metadata": { "collapsed": false, "editable": true @@ -3221,7 +3229,7 @@ }, { "cell_type": "markdown", - "id": "1c2292c1", + "id": "5eb9aa4d", "metadata": { "editable": true }, @@ -3242,7 +3250,7 @@ }, { "cell_type": "markdown", - "id": "1fa67201", + "id": "5cbdc215", "metadata": { "editable": true }, @@ -3254,7 +3262,7 @@ }, { "cell_type": "markdown", - "id": "137f3aa8", + "id": "a148d669", "metadata": { "editable": true }, @@ -3264,7 +3272,7 @@ }, { "cell_type": "markdown", - "id": "b5fd0444", + "id": "a04efc28", "metadata": { "editable": true }, @@ -3276,7 +3284,7 @@ }, { "cell_type": "markdown", - "id": "04e6de19", + "id": "d004f9af", "metadata": { "editable": true }, @@ -3286,7 +3294,7 @@ }, { "cell_type": "markdown", - "id": "2cd0f6df", + "id": "33d88186", "metadata": { "editable": true }, @@ -3298,7 +3306,7 @@ }, { "cell_type": "markdown", - "id": "f833976e", + "id": "79a0fcd6", "metadata": { "editable": true }, @@ -3314,7 +3322,7 @@ }, { "cell_type": "markdown", - "id": "0526f8a3", + "id": "5276fcae", "metadata": { "editable": true }, @@ -3358,7 +3366,7 @@ }, { "cell_type": "markdown", - "id": "132ef74f", + "id": "6071dd24", "metadata": { "editable": true }, @@ -3370,7 +3378,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "25ecbae5", + "id": "c878cffa", "metadata": { "collapsed": false, "editable": true @@ -3386,7 +3394,7 @@ }, { "cell_type": "markdown", - "id": "dd07b613", + "id": "5ae29df1", "metadata": { "editable": true }, @@ -3397,7 +3405,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "217c66c6", + "id": "0c27343f", "metadata": { "collapsed": false, "editable": true @@ -3468,7 +3476,7 @@ }, { "cell_type": "markdown", - "id": "a74cd412", + "id": "bd362de3", "metadata": { "editable": true }, @@ -3479,7 +3487,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "7252d534", + "id": "1042f631", "metadata": { "collapsed": false, "editable": true @@ -3493,7 +3501,7 @@ }, { "cell_type": "markdown", - "id": "9bc51de3", + "id": "82185c81", "metadata": { "editable": true }, @@ -3504,7 +3512,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "5209e335", + "id": "dd4764d2", "metadata": { "collapsed": false, "editable": true @@ -3542,7 +3550,7 @@ }, { "cell_type": "markdown", - "id": "2f7e2bce", + "id": "2b18d348", "metadata": { "editable": true }, @@ -3553,7 +3561,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "f40dddbb", + "id": "ad218084", "metadata": { "collapsed": false, "editable": true @@ -3593,7 +3601,7 @@ }, { "cell_type": "markdown", - "id": "4c784974", + "id": "37596ce4", "metadata": { "editable": true }, @@ -3604,7 +3612,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "f41e4472", + "id": "c64afdcd", "metadata": { "collapsed": false, "editable": true @@ -3645,7 +3653,7 @@ }, { "cell_type": "markdown", - "id": "ddbe7e53", + "id": "f74d7c0e", "metadata": { "editable": true }, @@ -3656,7 +3664,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "fb697c78", + "id": "05f432c4", "metadata": { "collapsed": false, "editable": true @@ -3695,7 +3703,7 @@ }, { "cell_type": "markdown", - "id": "e9883aae", + "id": "7eccf967", "metadata": { "editable": true }, @@ -3706,7 +3714,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "3b54b6a2", + "id": "e4e2ffd8", "metadata": { "collapsed": false, "editable": true @@ -3719,7 +3727,7 @@ }, { "cell_type": "markdown", - "id": "787c8475", + "id": "df5c1bb8", "metadata": { "editable": true }, @@ -3730,7 +3738,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "c88e54a9", + "id": "f5103c3e", "metadata": { "collapsed": false, "editable": true @@ -3761,7 +3769,7 @@ }, { "cell_type": "markdown", - "id": "6facc9e0", + "id": "b03da257", "metadata": { "editable": true }, @@ -3772,7 +3780,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "0fe2de24", + "id": "862a3613", "metadata": { "collapsed": false, "editable": true @@ -3832,7 +3840,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "33e2f09a", + "id": "28414bfe", "metadata": { "collapsed": false, "editable": true @@ -3862,7 +3870,7 @@ }, { "cell_type": "markdown", - "id": "7af3d057", + "id": "423c5193", "metadata": { "editable": true }, @@ -3872,7 +3880,7 @@ }, { "cell_type": "markdown", - "id": "c5cc4ff1", + "id": "40134015", "metadata": { "editable": true }, @@ -3886,7 +3894,7 @@ }, { "cell_type": "markdown", - "id": "e187c407", + "id": "2ea33726", "metadata": { "editable": true }, @@ -3898,7 +3906,7 @@ }, { "cell_type": "markdown", - "id": "80c1e1d2", + "id": "b20e3c69", "metadata": { "editable": true }, @@ -3910,7 +3918,7 @@ }, { "cell_type": "markdown", - "id": "d08c63a8", + "id": "86928159", "metadata": { "editable": true }, @@ -3922,7 +3930,7 @@ }, { "cell_type": "markdown", - "id": "e4199d04", + "id": "7f876bba", "metadata": { "editable": true }, @@ -3932,7 +3940,7 @@ }, { "cell_type": "markdown", - "id": "1cd0a12a", + "id": "1a0f675e", "metadata": { "editable": true }, @@ -3944,7 +3952,7 @@ }, { "cell_type": "markdown", - "id": "c4de93ba", + "id": "5b09cb8c", "metadata": { "editable": true }, @@ -3954,7 +3962,7 @@ }, { "cell_type": "markdown", - "id": "27136288", + "id": "2d734fd4", "metadata": { "editable": true }, @@ -3966,7 +3974,7 @@ }, { "cell_type": "markdown", - "id": "a088b960", + "id": "7bd3f98e", "metadata": { "editable": true }, @@ -3977,7 +3985,7 @@ }, { "cell_type": "markdown", - "id": "1a02ddbb", + "id": "37d9ae55", "metadata": { "editable": true }, @@ -3989,7 +3997,7 @@ }, { "cell_type": "markdown", - "id": "ed18d091", + "id": "457c49df", "metadata": { "editable": true }, @@ -4001,7 +4009,7 @@ }, { "cell_type": "markdown", - "id": "3d5b79af", + "id": "72cb8e53", "metadata": { "editable": true }, @@ -4011,7 +4019,7 @@ }, { "cell_type": "markdown", - "id": "dda4570b", + "id": "d5a2f7bf", "metadata": { "editable": true }, @@ -4023,7 +4031,7 @@ }, { "cell_type": "markdown", - "id": "11d8d3e3", + "id": "6c1d3ae9", "metadata": { "editable": true }, @@ -4035,7 +4043,7 @@ }, { "cell_type": "markdown", - "id": "46901f0f", + "id": "fbd16f90", "metadata": { "editable": true }, @@ -4045,7 +4053,7 @@ }, { "cell_type": "markdown", - "id": "9189fcdb", + "id": "b112d398", "metadata": { "editable": true }, @@ -4057,7 +4065,7 @@ }, { "cell_type": "markdown", - "id": "90000eee", + "id": "02cd55a7", "metadata": { "editable": true }, @@ -4067,7 +4075,7 @@ }, { "cell_type": "markdown", - "id": "e82d1f9c", + "id": "0f91ca1c", "metadata": { "editable": true }, @@ -4079,7 +4087,7 @@ }, { "cell_type": "markdown", - "id": "072720c0", + "id": "4c9a1014", "metadata": { "editable": true }, @@ -4089,7 +4097,7 @@ }, { "cell_type": "markdown", - "id": "dd15f44d", + "id": "bbf65400", "metadata": { "editable": true }, @@ -4129,7 +4137,7 @@ }, { "cell_type": "markdown", - "id": "6fb5a31f", + "id": "e86aedda", "metadata": { "editable": true }, @@ -4146,7 +4154,7 @@ }, { "cell_type": "markdown", - "id": "179c61b1", + "id": "5607899f", "metadata": { "editable": true }, @@ -4169,7 +4177,7 @@ }, { "cell_type": "markdown", - "id": "5c43a81e", + "id": "ee828c1a", "metadata": { "editable": true }, @@ -4186,7 +4194,7 @@ }, { "cell_type": "markdown", - "id": "29134082", + "id": "8cf44f4b", "metadata": { "editable": true }, @@ -4205,7 +4213,7 @@ }, { "cell_type": "markdown", - "id": "8ef42f32", + "id": "41c01ec3", "metadata": { "editable": true }, @@ -4216,7 +4224,7 @@ }, { "cell_type": "markdown", - "id": "076c58c7", + "id": "2abae461", "metadata": { "editable": true }, @@ -4228,7 +4236,7 @@ }, { "cell_type": "markdown", - "id": "04db202f", + "id": "9b9091ee", "metadata": { "editable": true }, @@ -4246,7 +4254,7 @@ }, { "cell_type": "markdown", - "id": "b60cb6b5", + "id": "e9c2ef56", "metadata": { "editable": true }, @@ -4262,7 +4270,7 @@ }, { "cell_type": "markdown", - "id": "d29615f2", + "id": "f85233fa", "metadata": { "editable": true }, @@ -4274,7 +4282,7 @@ }, { "cell_type": "markdown", - "id": "1f2c3f1e", + "id": "61b8cabc", "metadata": { "editable": true }, @@ -4284,7 +4292,7 @@ }, { "cell_type": "markdown", - "id": "759ab85a", + "id": "9b057486", "metadata": { "editable": true }, @@ -4299,7 +4307,7 @@ }, { "cell_type": "markdown", - "id": "4538c162", + "id": "6274419d", "metadata": { "editable": true }, @@ -4311,7 +4319,7 @@ }, { "cell_type": "markdown", - "id": "a5617e01", + "id": "213c9ae6", "metadata": { "editable": true }, @@ -4321,7 +4329,7 @@ }, { "cell_type": "markdown", - "id": "fe0b46d4", + "id": "6a9de3b7", "metadata": { "editable": true }, @@ -4333,7 +4341,7 @@ }, { "cell_type": "markdown", - "id": "7695cd6a", + "id": "d7ce3387", "metadata": { "editable": true }, @@ -4343,7 +4351,7 @@ }, { "cell_type": "markdown", - "id": "26601b01", + "id": "98ff9d86", "metadata": { "editable": true }, @@ -4355,7 +4363,7 @@ }, { "cell_type": "markdown", - "id": "6a2d467f", + "id": "2b327be5", "metadata": { "editable": true }, @@ -4367,7 +4375,7 @@ }, { "cell_type": "markdown", - "id": "a830ae89", + "id": "2c1a9126", "metadata": { "editable": true }, @@ -4382,7 +4390,7 @@ }, { "cell_type": "markdown", - "id": "488dd05c", + "id": "3c92214f", "metadata": { "editable": true }, @@ -4393,7 +4401,7 @@ }, { "cell_type": "markdown", - "id": "0383a3b6", + "id": "534f2e5f", "metadata": { "editable": true }, @@ -4413,7 +4421,7 @@ }, { "cell_type": "markdown", - "id": "10e82320", + "id": "7b60adf4", "metadata": { "editable": true }, @@ -4425,7 +4433,7 @@ }, { "cell_type": "markdown", - "id": "59a6e34a", + "id": "8a70724c", "metadata": { "editable": true }, @@ -4435,7 +4443,7 @@ }, { "cell_type": "markdown", - "id": "ab9dc4a5", + "id": "428c905b", "metadata": { "editable": true }, @@ -4447,7 +4455,7 @@ }, { "cell_type": "markdown", - "id": "51c1c028", + "id": "874e40ee", "metadata": { "editable": true }, @@ -4476,7 +4484,7 @@ }, { "cell_type": "markdown", - "id": "ec252687", + "id": "35f9527c", "metadata": { "editable": true }, @@ -4503,7 +4511,7 @@ }, { "cell_type": "markdown", - "id": "156bfe10", + "id": "fdd5aa47", "metadata": { "editable": true }, @@ -4514,7 +4522,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "3c182484", + "id": "01e4de19", "metadata": { "collapsed": false, "editable": true @@ -4576,7 +4584,7 @@ }, { "cell_type": "markdown", - "id": "98a0e5ec", + "id": "d4de121b", "metadata": { "editable": true }, @@ -4593,7 +4601,7 @@ }, { "cell_type": "markdown", - "id": "b69361d0", + "id": "7ca8d39b", "metadata": { "editable": true }, @@ -4616,7 +4624,7 @@ }, { "cell_type": "markdown", - "id": "8d7c0cc8", + "id": "bdcff808", "metadata": { "editable": true }, @@ -4630,7 +4638,7 @@ }, { "cell_type": "markdown", - "id": "0a45fa90", + "id": "28074411", "metadata": { "editable": true }, @@ -4649,7 +4657,7 @@ }, { "cell_type": "markdown", - "id": "add34bfc", + "id": "4ea2fc19", "metadata": { "editable": true }, @@ -4659,7 +4667,7 @@ }, { "cell_type": "markdown", - "id": "f00ff6da", + "id": "a1fee3ce", "metadata": { "editable": true }, @@ -4671,7 +4679,7 @@ }, { "cell_type": "markdown", - "id": "348cd8df", + "id": "fd762673", "metadata": { "editable": true }, @@ -4685,7 +4693,7 @@ }, { "cell_type": "markdown", - "id": "f7697c17", + "id": "f20cf9e9", "metadata": { "editable": true }, @@ -4697,7 +4705,7 @@ }, { "cell_type": "markdown", - "id": "64417096", + "id": "85368feb", "metadata": { "editable": true }, @@ -4707,7 +4715,7 @@ }, { "cell_type": "markdown", - "id": "ded28c47", + "id": "a8770954", "metadata": { "editable": true }, @@ -4719,7 +4727,7 @@ }, { "cell_type": "markdown", - "id": "f70d6ea7", + "id": "4a270875", "metadata": { "editable": true }, @@ -4736,7 +4744,7 @@ }, { "cell_type": "markdown", - "id": "68ecbbfa", + "id": "680b5723", "metadata": { "editable": true }, @@ -4746,7 +4754,7 @@ }, { "cell_type": "markdown", - "id": "73db495d", + "id": "4ccca506", "metadata": { "editable": true }, @@ -4762,7 +4770,7 @@ }, { "cell_type": "markdown", - "id": "44412861", + "id": "1e79a5cc", "metadata": { "editable": true }, @@ -4772,7 +4780,7 @@ }, { "cell_type": "markdown", - "id": "985de8ad", + "id": "27b3b9fe", "metadata": { "editable": true }, @@ -4788,7 +4796,7 @@ }, { "cell_type": "markdown", - "id": "bae93d68", + "id": "a351c847", "metadata": { "editable": true }, @@ -4798,7 +4806,7 @@ }, { "cell_type": "markdown", - "id": "e29bd644", + "id": "aa000d05", "metadata": { "editable": true }, @@ -4814,7 +4822,7 @@ }, { "cell_type": "markdown", - "id": "3abf4a2d", + "id": "2d519658", "metadata": { "editable": true }, @@ -4824,7 +4832,7 @@ }, { "cell_type": "markdown", - "id": "fe1e2ce7", + "id": "0870c7af", "metadata": { "editable": true }, @@ -4841,7 +4849,7 @@ }, { "cell_type": "markdown", - "id": "d23d044b", + "id": "084c61ee", "metadata": { "editable": true }, @@ -4853,7 +4861,7 @@ }, { "cell_type": "markdown", - "id": "36e38f22", + "id": "a3d4ccfa", "metadata": { "editable": true }, @@ -4865,7 +4873,7 @@ }, { "cell_type": "markdown", - "id": "ad22843b", + "id": "59ba92d2", "metadata": { "editable": true }, @@ -4877,7 +4885,7 @@ }, { "cell_type": "markdown", - "id": "fabcf0f8", + "id": "b5e2f754", "metadata": { "editable": true }, @@ -4887,7 +4895,7 @@ }, { "cell_type": "markdown", - "id": "2c2f44c5", + "id": "9cb23cb1", "metadata": { "editable": true }, @@ -4899,7 +4907,7 @@ }, { "cell_type": "markdown", - "id": "105762d0", + "id": "1c3ffc6f", "metadata": { "editable": true }, @@ -4911,7 +4919,7 @@ }, { "cell_type": "markdown", - "id": "35a42e41", + "id": "786439ab", "metadata": { "editable": true }, @@ -4923,7 +4931,7 @@ }, { "cell_type": "markdown", - "id": "8e21698f", + "id": "51d4bb29", "metadata": { "editable": true }, @@ -4933,7 +4941,7 @@ }, { "cell_type": "markdown", - "id": "a240efc0", + "id": "79bdc7d5", "metadata": { "editable": true }, @@ -4945,17 +4953,17 @@ }, { "cell_type": "markdown", - "id": "3919a2cb", + "id": "a48d61d1", "metadata": { "editable": true }, "source": [ - "which gives us, using the orthogonality of the matrices $\\boldsymbol{U}$ and $\\boldsymbol{V}$," + "which gives us, using the orthogonality of the matrix $\\boldsymbol{V}$," ] }, { "cell_type": "markdown", - "id": "ddf99a3e", + "id": "3c8b52bf", "metadata": { "editable": true }, @@ -4967,7 +4975,7 @@ }, { "cell_type": "markdown", - "id": "5a790d25", + "id": "d902463f", "metadata": { "editable": true }, @@ -4975,13 +4983,15 @@ "It means that the ordinary least square model (with the optimal\n", "parameters) $\\boldsymbol{\\tilde{y}}$, corresponds to an orthogonal\n", "transformation of the output (or target) vector $\\boldsymbol{y}$ by the\n", - "vectors of the matrix $\\boldsymbol{U}$. Note that the summation ends at $p-1$,\n", - "that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$." + "vectors of the matrix $\\boldsymbol{U}$. **Note that the summation ends at**\n", + "$p-1$, that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$. We can thus not use the\n", + "orthogonality relation for the matrix $\\boldsymbol{U}$. This can already be\n", + "when we multiply the matrices $\\boldsymbol{\\Sigma}^T\\boldsymbol{U}^T$." ] }, { "cell_type": "markdown", - "id": "113a5d16", + "id": "955c3dda", "metadata": { "editable": true }, @@ -4993,7 +5003,7 @@ }, { "cell_type": "markdown", - "id": "ec65ec89", + "id": "af6d057f", "metadata": { "editable": true }, @@ -5005,7 +5015,7 @@ }, { "cell_type": "markdown", - "id": "ed891134", + "id": "1200c060", "metadata": { "editable": true }, @@ -5015,7 +5025,7 @@ }, { "cell_type": "markdown", - "id": "5266f146", + "id": "18782e94", "metadata": { "editable": true }, @@ -5027,7 +5037,7 @@ }, { "cell_type": "markdown", - "id": "666ab5b3", + "id": "f51193b6", "metadata": { "editable": true }, @@ -5038,7 +5048,7 @@ }, { "cell_type": "markdown", - "id": "ab9a3eec", + "id": "293c5f44", "metadata": { "editable": true }, @@ -5050,7 +5060,7 @@ }, { "cell_type": "markdown", - "id": "252e7533", + "id": "8e5cd6b1", "metadata": { "editable": true }, @@ -5060,7 +5070,7 @@ }, { "cell_type": "markdown", - "id": "201b9300", + "id": "79a79025", "metadata": { "editable": true }, @@ -5072,7 +5082,7 @@ }, { "cell_type": "markdown", - "id": "4f6287cf", + "id": "9bbddbf2", "metadata": { "editable": true }, @@ -5082,7 +5092,7 @@ }, { "cell_type": "markdown", - "id": "1ace6d06", + "id": "1a80c23e", "metadata": { "editable": true }, @@ -5094,7 +5104,7 @@ }, { "cell_type": "markdown", - "id": "274f98fb", + "id": "f5af565e", "metadata": { "editable": true }, @@ -5105,7 +5115,7 @@ }, { "cell_type": "markdown", - "id": "70dc1b76", + "id": "dd518e36", "metadata": { "editable": true }, @@ -5117,7 +5127,7 @@ }, { "cell_type": "markdown", - "id": "096c55e9", + "id": "082bcee9", "metadata": { "editable": true }, @@ -5135,7 +5145,7 @@ }, { "cell_type": "markdown", - "id": "0ac9bdae", + "id": "bdbc4fa9", "metadata": { "editable": true }, @@ -5151,7 +5161,7 @@ }, { "cell_type": "markdown", - "id": "a456e251", + "id": "33adf71a", "metadata": { "editable": true }, @@ -5163,7 +5173,7 @@ }, { "cell_type": "markdown", - "id": "7c817401", + "id": "3794d9a9", "metadata": { "editable": true }, @@ -5175,7 +5185,7 @@ }, { "cell_type": "markdown", - "id": "20d7bb5d", + "id": "55e25f81", "metadata": { "editable": true }, @@ -5187,7 +5197,7 @@ }, { "cell_type": "markdown", - "id": "52a9f64e", + "id": "47657755", "metadata": { "editable": true }, @@ -5200,7 +5210,7 @@ }, { "cell_type": "markdown", - "id": "77820e66", + "id": "bfdc6c11", "metadata": { "editable": true }, @@ -5216,7 +5226,7 @@ }, { "cell_type": "markdown", - "id": "dc6ab9cd", + "id": "b10b21d6", "metadata": { "editable": true }, @@ -5230,7 +5240,7 @@ }, { "cell_type": "markdown", - "id": "8a8ee502", + "id": "127632f4", "metadata": { "editable": true }, @@ -5240,7 +5250,7 @@ }, { "cell_type": "markdown", - "id": "f377b529", + "id": "ddd29440", "metadata": { "editable": true }, @@ -5252,7 +5262,7 @@ }, { "cell_type": "markdown", - "id": "e572a54d", + "id": "8f1426a9", "metadata": { "editable": true }, @@ -5262,7 +5272,7 @@ }, { "cell_type": "markdown", - "id": "1b9c72f5", + "id": "8af09cbd", "metadata": { "editable": true }, @@ -5274,7 +5284,7 @@ }, { "cell_type": "markdown", - "id": "15c56784", + "id": "fbb24d4a", "metadata": { "editable": true }, @@ -5284,7 +5294,7 @@ }, { "cell_type": "markdown", - "id": "a03c1a32", + "id": "108264c8", "metadata": { "editable": true }, @@ -5298,7 +5308,7 @@ }, { "cell_type": "markdown", - "id": "af372da2", + "id": "1df71171", "metadata": { "editable": true }, @@ -5315,7 +5325,7 @@ }, { "cell_type": "markdown", - "id": "9200f285", + "id": "94f43fa7", "metadata": { "editable": true }, @@ -5331,7 +5341,7 @@ }, { "cell_type": "markdown", - "id": "d5becae6", + "id": "35a9e26e", "metadata": { "editable": true }, @@ -5343,7 +5353,7 @@ }, { "cell_type": "markdown", - "id": "27e6e5b8", + "id": "570d029f", "metadata": { "editable": true }, @@ -5356,7 +5366,7 @@ }, { "cell_type": "markdown", - "id": "06454f55", + "id": "2920ebfe", "metadata": { "editable": true }, @@ -5370,7 +5380,7 @@ }, { "cell_type": "markdown", - "id": "833b2511", + "id": "508ef7cd", "metadata": { "editable": true }, @@ -5380,7 +5390,7 @@ }, { "cell_type": "markdown", - "id": "056aceed", + "id": "47eaf212", "metadata": { "editable": true }, @@ -5393,7 +5403,7 @@ }, { "cell_type": "markdown", - "id": "950f361e", + "id": "c88297fa", "metadata": { "editable": true }, @@ -5412,7 +5422,7 @@ }, { "cell_type": "markdown", - "id": "2d8ac5c2", + "id": "0eb1beac", "metadata": { "editable": true }, @@ -5424,7 +5434,7 @@ }, { "cell_type": "markdown", - "id": "62d04779", + "id": "f8055f42", "metadata": { "editable": true }, @@ -5436,7 +5446,7 @@ }, { "cell_type": "markdown", - "id": "797b13b8", + "id": "18b7ca49", "metadata": { "editable": true }, @@ -5446,7 +5456,7 @@ }, { "cell_type": "markdown", - "id": "bd705147", + "id": "bf084294", "metadata": { "editable": true }, @@ -5458,7 +5468,7 @@ }, { "cell_type": "markdown", - "id": "542850cc", + "id": "d2d914bb", "metadata": { "editable": true }, @@ -5471,7 +5481,7 @@ }, { "cell_type": "markdown", - "id": "db1aaf48", + "id": "28d0307c", "metadata": { "editable": true }, @@ -5490,7 +5500,7 @@ }, { "cell_type": "markdown", - "id": "6dc65433", + "id": "c1022b8b", "metadata": { "editable": true }, @@ -5500,7 +5510,7 @@ }, { "cell_type": "markdown", - "id": "ccd95a67", + "id": "9813aced", "metadata": { "editable": true }, @@ -5519,7 +5529,7 @@ }, { "cell_type": "markdown", - "id": "c15cc257", + "id": "624e1592", "metadata": { "editable": true }, @@ -5537,7 +5547,7 @@ }, { "cell_type": "markdown", - "id": "cc4a5463", + "id": "3e69238f", "metadata": { "editable": true }, @@ -5551,7 +5561,7 @@ }, { "cell_type": "markdown", - "id": "b8cfd6fa", + "id": "1adcab4e", "metadata": { "editable": true }, @@ -5566,7 +5576,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "31e1da88", + "id": "d7a3937b", "metadata": { "collapsed": false, "editable": true @@ -5598,7 +5608,7 @@ }, { "cell_type": "markdown", - "id": "24a933c2", + "id": "7668b290", "metadata": { "editable": true }, @@ -5615,7 +5625,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "8d9779ce", + "id": "22a46238", "metadata": { "collapsed": false, "editable": true @@ -5658,7 +5668,7 @@ }, { "cell_type": "markdown", - "id": "c7e322b5", + "id": "8d60df16", "metadata": { "editable": true }, @@ -5672,7 +5682,7 @@ }, { "cell_type": "markdown", - "id": "ea5682d7", + "id": "5cce022a", "metadata": { "editable": true }, @@ -5685,7 +5695,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "0e83fcbc", + "id": "ce383181", "metadata": { "collapsed": false, "editable": true @@ -5741,7 +5751,7 @@ }, { "cell_type": "markdown", - "id": "1226fab9", + "id": "5af761f5", "metadata": { "editable": true }, @@ -5751,7 +5761,7 @@ }, { "cell_type": "markdown", - "id": "923ffc58", + "id": "43c34a93", "metadata": { "editable": true }, @@ -5762,7 +5772,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "145c2622", + "id": "98ae9abd", "metadata": { "collapsed": false, "editable": true @@ -5856,7 +5866,7 @@ }, { "cell_type": "markdown", - "id": "8a657c92", + "id": "55b95089", "metadata": { "editable": true }, @@ -5873,7 +5883,7 @@ }, { "cell_type": "markdown", - "id": "522f204b", + "id": "58edec27", "metadata": { "editable": true }, @@ -5885,7 +5895,7 @@ }, { "cell_type": "markdown", - "id": "6ab032e5", + "id": "91cf5408", "metadata": { "editable": true }, @@ -5897,7 +5907,7 @@ }, { "cell_type": "markdown", - "id": "423a9a47", + "id": "9628d939", "metadata": { "editable": true }, @@ -5907,7 +5917,7 @@ }, { "cell_type": "markdown", - "id": "817b323b", + "id": "d408e7f5", "metadata": { "editable": true }, @@ -5924,7 +5934,7 @@ }, { "cell_type": "markdown", - "id": "93f4ff8f", + "id": "1266b478", "metadata": { "editable": true }, @@ -5934,7 +5944,7 @@ }, { "cell_type": "markdown", - "id": "437c6704", + "id": "e22633d5", "metadata": { "editable": true }, @@ -5949,7 +5959,7 @@ }, { "cell_type": "markdown", - "id": "fe76cb03", + "id": "594fba0d", "metadata": { "editable": true }, @@ -5959,7 +5969,7 @@ }, { "cell_type": "markdown", - "id": "71d190a9", + "id": "d70023fd", "metadata": { "editable": true }, @@ -5973,7 +5983,7 @@ }, { "cell_type": "markdown", - "id": "21d676ff", + "id": "52dc44dd", "metadata": { "editable": true }, @@ -5985,7 +5995,7 @@ }, { "cell_type": "markdown", - "id": "95bf7f81", + "id": "a2668fc5", "metadata": { "editable": true }, @@ -5997,7 +6007,7 @@ }, { "cell_type": "markdown", - "id": "3e6fccbc", + "id": "abcb6d33", "metadata": { "editable": true }, @@ -6009,7 +6019,7 @@ }, { "cell_type": "markdown", - "id": "8c261002", + "id": "a224487f", "metadata": { "editable": true }, @@ -6019,7 +6029,7 @@ }, { "cell_type": "markdown", - "id": "f9aedabd", + "id": "7d2e0786", "metadata": { "editable": true }, @@ -6031,7 +6041,7 @@ }, { "cell_type": "markdown", - "id": "b9c3ddc5", + "id": "1175c0c5", "metadata": { "editable": true }, @@ -6041,7 +6051,7 @@ }, { "cell_type": "markdown", - "id": "ed30a2b1", + "id": "bbfe6895", "metadata": { "editable": true }, @@ -6058,7 +6068,7 @@ }, { "cell_type": "markdown", - "id": "dfb0eb4a", + "id": "9e1fd41d", "metadata": { "editable": true }, @@ -6068,7 +6078,7 @@ }, { "cell_type": "markdown", - "id": "39664ac4", + "id": "2ac7e61a", "metadata": { "editable": true }, @@ -6080,7 +6090,7 @@ }, { "cell_type": "markdown", - "id": "36858bcd", + "id": "779f099c", "metadata": { "editable": true }, @@ -6090,7 +6100,7 @@ }, { "cell_type": "markdown", - "id": "1938dd21", + "id": "fe58de11", "metadata": { "editable": true }, @@ -6102,7 +6112,7 @@ }, { "cell_type": "markdown", - "id": "d89b7fce", + "id": "6f9244dc", "metadata": { "editable": true }, @@ -6116,7 +6126,7 @@ }, { "cell_type": "markdown", - "id": "a30a69b4", + "id": "0dc4a97b", "metadata": { "editable": true }, @@ -6128,7 +6138,7 @@ }, { "cell_type": "markdown", - "id": "34639fb6", + "id": "c85e169b", "metadata": { "editable": true }, @@ -6150,7 +6160,7 @@ }, { "cell_type": "markdown", - "id": "20ad8e3f", + "id": "d9c670c9", "metadata": { "editable": true }, @@ -6162,7 +6172,7 @@ }, { "cell_type": "markdown", - "id": "d9478bfc", + "id": "19f3422e", "metadata": { "editable": true }, @@ -6177,7 +6187,7 @@ }, { "cell_type": "markdown", - "id": "04d7397f", + "id": "73ba196c", "metadata": { "editable": true }, @@ -6189,7 +6199,7 @@ }, { "cell_type": "markdown", - "id": "59f21f2c", + "id": "8e045ed0", "metadata": { "editable": true }, @@ -6201,7 +6211,7 @@ }, { "cell_type": "markdown", - "id": "a309e6d5", + "id": "73a040c2", "metadata": { "editable": true }, @@ -6211,7 +6221,7 @@ }, { "cell_type": "markdown", - "id": "2c4186ec", + "id": "ad598099", "metadata": { "editable": true }, @@ -6223,7 +6233,7 @@ }, { "cell_type": "markdown", - "id": "ccd854d0", + "id": "72c59cf8", "metadata": { "editable": true }, @@ -6233,7 +6243,7 @@ }, { "cell_type": "markdown", - "id": "74eaeda4", + "id": "7d3ea89e", "metadata": { "editable": true }, @@ -6245,7 +6255,7 @@ }, { "cell_type": "markdown", - "id": "053b8482", + "id": "7180582d", "metadata": { "editable": true }, @@ -6255,7 +6265,7 @@ }, { "cell_type": "markdown", - "id": "6f8a528a", + "id": "9993e038", "metadata": { "editable": true }, @@ -6267,7 +6277,7 @@ }, { "cell_type": "markdown", - "id": "112070df", + "id": "eb3035aa", "metadata": { "editable": true }, @@ -6284,7 +6294,7 @@ }, { "cell_type": "markdown", - "id": "33e268b0", + "id": "a561bcdb", "metadata": { "editable": true }, @@ -6297,7 +6307,7 @@ }, { "cell_type": "markdown", - "id": "0de7adcd", + "id": "268ae34a", "metadata": { "editable": true }, @@ -6309,7 +6319,7 @@ }, { "cell_type": "markdown", - "id": "fa30d846", + "id": "fc03d5dc", "metadata": { "editable": true }, @@ -6319,7 +6329,7 @@ }, { "cell_type": "markdown", - "id": "d577ef22", + "id": "1ea893df", "metadata": { "editable": true }, @@ -6332,7 +6342,7 @@ }, { "cell_type": "markdown", - "id": "ce39ce20", + "id": "3ef4a051", "metadata": { "editable": true }, @@ -6342,7 +6352,7 @@ }, { "cell_type": "markdown", - "id": "960bd21b", + "id": "e250ee2f", "metadata": { "editable": true }, @@ -6354,7 +6364,7 @@ }, { "cell_type": "markdown", - "id": "7736561e", + "id": "ac02490b", "metadata": { "editable": true }, @@ -6367,7 +6377,7 @@ }, { "cell_type": "markdown", - "id": "f1043146", + "id": "aeb823e8", "metadata": { "editable": true }, @@ -6380,7 +6390,7 @@ }, { "cell_type": "markdown", - "id": "56e791a2", + "id": "185ff85c", "metadata": { "editable": true }, @@ -6392,7 +6402,7 @@ }, { "cell_type": "markdown", - "id": "dbcb265a", + "id": "1419c4ca", "metadata": { "editable": true }, @@ -6404,7 +6414,7 @@ }, { "cell_type": "markdown", - "id": "9e1a00c1", + "id": "9773136b", "metadata": { "editable": true }, @@ -6414,7 +6424,7 @@ }, { "cell_type": "markdown", - "id": "6ca6c71d", + "id": "f8b694dc", "metadata": { "editable": true }, @@ -6427,7 +6437,7 @@ }, { "cell_type": "markdown", - "id": "797658d0", + "id": "88371d47", "metadata": { "editable": true }, @@ -6439,7 +6449,7 @@ }, { "cell_type": "markdown", - "id": "ed64a13e", + "id": "171b5be4", "metadata": { "editable": true }, @@ -6451,7 +6461,7 @@ }, { "cell_type": "markdown", - "id": "fc6a2aeb", + "id": "1e835b14", "metadata": { "editable": true }, @@ -6463,7 +6473,7 @@ }, { "cell_type": "markdown", - "id": "1c956ba4", + "id": "17531870", "metadata": { "editable": true }, @@ -6475,7 +6485,7 @@ }, { "cell_type": "markdown", - "id": "ea5516df", + "id": "0e3ef48e", "metadata": { "editable": true }, @@ -6489,7 +6499,7 @@ }, { "cell_type": "markdown", - "id": "b6d61e24", + "id": "66166180", "metadata": { "editable": true }, @@ -6501,7 +6511,7 @@ }, { "cell_type": "markdown", - "id": "84765a82", + "id": "a58eac00", "metadata": { "editable": true }, @@ -6511,7 +6521,7 @@ }, { "cell_type": "markdown", - "id": "973019d8", + "id": "27eed264", "metadata": { "editable": true }, @@ -6523,7 +6533,7 @@ }, { "cell_type": "markdown", - "id": "7f074350", + "id": "dde3eff1", "metadata": { "editable": true }, @@ -6535,7 +6545,7 @@ }, { "cell_type": "markdown", - "id": "0570ceae", + "id": "fc32ef71", "metadata": { "editable": true }, @@ -6547,7 +6557,7 @@ }, { "cell_type": "markdown", - "id": "5d16ea9d", + "id": "f71d1884", "metadata": { "editable": true }, @@ -6559,7 +6569,7 @@ }, { "cell_type": "markdown", - "id": "b739c33e", + "id": "a461218a", "metadata": { "editable": true }, @@ -6571,7 +6581,7 @@ }, { "cell_type": "markdown", - "id": "dc8bc23b", + "id": "417dd2f5", "metadata": { "editable": true }, @@ -6590,7 +6600,7 @@ }, { "cell_type": "markdown", - "id": "d89da6dc", + "id": "fb40cac4", "metadata": { "editable": true }, @@ -6602,7 +6612,7 @@ }, { "cell_type": "markdown", - "id": "3b871cb3", + "id": "0220204c", "metadata": { "editable": true }, @@ -6612,7 +6622,7 @@ }, { "cell_type": "markdown", - "id": "018e1163", + "id": "5f1bd6c9", "metadata": { "editable": true }, @@ -6624,7 +6634,7 @@ }, { "cell_type": "markdown", - "id": "24f364d8", + "id": "17072bfc", "metadata": { "editable": true }, @@ -6634,7 +6644,7 @@ }, { "cell_type": "markdown", - "id": "4f695ec4", + "id": "2c11fad3", "metadata": { "editable": true }, @@ -6646,7 +6656,7 @@ }, { "cell_type": "markdown", - "id": "a4599188", + "id": "c609b962", "metadata": { "editable": true }, @@ -6658,7 +6668,7 @@ }, { "cell_type": "markdown", - "id": "0edf0a0c", + "id": "9795acef", "metadata": { "editable": true }, @@ -6674,7 +6684,7 @@ }, { "cell_type": "markdown", - "id": "9afad20c", + "id": "b2219ef4", "metadata": { "editable": true }, @@ -6686,7 +6696,7 @@ }, { "cell_type": "markdown", - "id": "33df2d17", + "id": "db852bdc", "metadata": { "editable": true }, @@ -6698,7 +6708,7 @@ }, { "cell_type": "markdown", - "id": "972e10e7", + "id": "7af957bf", "metadata": { "editable": true }, @@ -6708,7 +6718,7 @@ }, { "cell_type": "markdown", - "id": "86f89bca", + "id": "3b9a6dcb", "metadata": { "editable": true }, @@ -6720,7 +6730,7 @@ }, { "cell_type": "markdown", - "id": "c286d017", + "id": "9fe99d76", "metadata": { "editable": true }, @@ -6730,7 +6740,7 @@ }, { "cell_type": "markdown", - "id": "4dcbe7e5", + "id": "95c258e2", "metadata": { "editable": true }, @@ -6742,7 +6752,7 @@ }, { "cell_type": "markdown", - "id": "43db48d4", + "id": "61e1baef", "metadata": { "editable": true }, @@ -6759,7 +6769,7 @@ }, { "cell_type": "markdown", - "id": "17d8c95a", + "id": "706bad69", "metadata": { "editable": true }, @@ -6771,7 +6781,7 @@ }, { "cell_type": "markdown", - "id": "3c9d6593", + "id": "ff63d81f", "metadata": { "editable": true }, @@ -6783,7 +6793,7 @@ }, { "cell_type": "markdown", - "id": "a1606a04", + "id": "66436c5d", "metadata": { "editable": true }, @@ -6793,7 +6803,7 @@ }, { "cell_type": "markdown", - "id": "d192512a", + "id": "4bb26a2e", "metadata": { "editable": true }, @@ -6805,7 +6815,7 @@ }, { "cell_type": "markdown", - "id": "a60675a1", + "id": "87a71dc0", "metadata": { "editable": true }, @@ -6815,7 +6825,7 @@ }, { "cell_type": "markdown", - "id": "942fc37f", + "id": "a9ef08dc", "metadata": { "editable": true }, @@ -6827,7 +6837,7 @@ }, { "cell_type": "markdown", - "id": "4f5e067f", + "id": "f8ebfe39", "metadata": { "editable": true }, @@ -6837,7 +6847,7 @@ }, { "cell_type": "markdown", - "id": "d330f743", + "id": "e3acea6b", "metadata": { "editable": true }, @@ -6849,7 +6859,7 @@ }, { "cell_type": "markdown", - "id": "55f9b635", + "id": "24f8649f", "metadata": { "editable": true }, @@ -6859,7 +6869,7 @@ }, { "cell_type": "markdown", - "id": "5a6d1b0b", + "id": "2af184ea", "metadata": { "editable": true }, @@ -6871,7 +6881,7 @@ }, { "cell_type": "markdown", - "id": "12fd13cb", + "id": "257f939f", "metadata": { "editable": true }, diff --git a/doc/LectureNotes/_build/jupyter_execute/week35.py b/doc/LectureNotes/_build/jupyter_execute/week35.py index 4174beeb0..69574e2a1 100644 --- a/doc/LectureNotes/_build/jupyter_execute/week35.py +++ b/doc/LectureNotes/_build/jupyter_execute/week35.py @@ -1919,7 +1919,7 @@ print(C-X) # \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{\Sigma}\boldsymbol{V}^T\left(\boldsymbol{V}\tilde{\boldsymbol{\Sigma}}^{2}(\boldsymbol{V}^T\right)^{-1}\boldsymbol{V}\boldsymbol{\Sigma}^T\boldsymbol{U}^T\boldsymbol{y}, # $$ -# which gives us, using the orthogonality of the matrices $\boldsymbol{U}$ and $\boldsymbol{V}$, +# which gives us, using the orthogonality of the matrix $\boldsymbol{V}$, # $$ # \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, @@ -1928,8 +1928,10 @@ print(C-X) # It means that the ordinary least square model (with the optimal # parameters) $\boldsymbol{\tilde{y}}$, corresponds to an orthogonal # transformation of the output (or target) vector $\boldsymbol{y}$ by the -# vectors of the matrix $\boldsymbol{U}$. Note that the summation ends at $p-1$, -# that is $\boldsymbol{\tilde{y}}\ne \boldsymbol{y}$. +# vectors of the matrix $\boldsymbol{U}$. **Note that the summation ends at** +# $p-1$, that is $\boldsymbol{\tilde{y}}\ne \boldsymbol{y}$. We can thus not use the +# orthogonality relation for the matrix $\boldsymbol{U}$. This can already be +# when we multiply the matrices $\boldsymbol{\Sigma}^T\boldsymbol{U}^T$. # ## Further properties (important for our analyses later) # diff --git a/doc/LectureNotes/week35.ipynb b/doc/LectureNotes/week35.ipynb index 6c23bf707..acce5416d 100644 --- a/doc/LectureNotes/week35.ipynb +++ b/doc/LectureNotes/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "be53b5a0", + "id": "0babeebd", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "ea9aa8ba", + "id": "97c00fa1", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "1682c283", + "id": "e4a3ef03", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "06e8536b", + "id": "cce1437b", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "78f54d26", + "id": "52737d8a", "metadata": { "editable": true }, @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "94c25631", + "id": "671d6e88", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "a42b88dc", + "id": "ff12276e", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "3171d71c", + "id": "047c45e4", "metadata": { "editable": true }, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "e70f9acc", + "id": "429101eb", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "2379d06d", + "id": "c5e3146c", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "643717b0", + "id": "7dbe051b", "metadata": { "editable": true }, @@ -182,7 +182,7 @@ }, { "cell_type": "markdown", - "id": "378c280f", + "id": "4fc0ccc9", "metadata": { "editable": true }, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "e52a2672", + "id": "b74ac188", "metadata": { "editable": true }, @@ -207,7 +207,7 @@ }, { "cell_type": "markdown", - "id": "cce68c3d", + "id": "3dd89363", "metadata": { "editable": true }, @@ -219,7 +219,7 @@ }, { "cell_type": "markdown", - "id": "f8c11724", + "id": "f9c8ee6d", "metadata": { "editable": true }, @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "a139ab45", + "id": "f1a7d81e", "metadata": { "editable": true }, @@ -241,7 +241,7 @@ }, { "cell_type": "markdown", - "id": "089dec59", + "id": "5e470402", "metadata": { "editable": true }, @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "570e9155", + "id": "de2d1c2e", "metadata": { "editable": true }, @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "2c6cbd01", + "id": "9f2c6a27", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "daaf53c3", + "id": "f2a53c69", "metadata": { "editable": true }, @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "186a0c23", + "id": "0e6be165", "metadata": { "editable": true }, @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "e83c76fe", + "id": "7e1aa69e", "metadata": { "editable": true }, @@ -311,7 +311,7 @@ }, { "cell_type": "markdown", - "id": "48869faa", + "id": "b6808670", "metadata": { "editable": true }, @@ -323,7 +323,7 @@ }, { "cell_type": "markdown", - "id": "09ef84bc", + "id": "1681f8b5", "metadata": { "editable": true }, @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "a3573593", + "id": "079581c8", "metadata": { "editable": true }, @@ -355,7 +355,7 @@ }, { "cell_type": "markdown", - "id": "0cf80555", + "id": "d2d8bbbe", "metadata": { "editable": true }, @@ -365,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "9a5943d2", + "id": "b6f6fa32", "metadata": { "editable": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "markdown", - "id": "614492f6", + "id": "c40e93cb", "metadata": { "editable": true }, @@ -387,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "e151cfa1", + "id": "817e6b7e", "metadata": { "editable": true }, @@ -399,7 +399,7 @@ }, { "cell_type": "markdown", - "id": "1e2877d6", + "id": "9e81cba3", "metadata": { "editable": true }, @@ -409,7 +409,7 @@ }, { "cell_type": "markdown", - "id": "62ea2b3f", + "id": "f444a6f6", "metadata": { "editable": true }, @@ -421,7 +421,7 @@ }, { "cell_type": "markdown", - "id": "8b2e0f0e", + "id": "c0a4d2f3", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "08983f5f", + "id": "b4fb52ac", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "0220251b", + "id": "625eedb8", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "d80df328", + "id": "e4860d6a", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "838e6fcc", + "id": "f3dbaea0", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "49bab4db", + "id": "12a58017", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "a9f8042e", + "id": "9e01c27e", "metadata": { "editable": true }, @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "41a2f792", + "id": "1a674207", "metadata": { "editable": true }, @@ -535,7 +535,7 @@ }, { "cell_type": "markdown", - "id": "2cd68700", + "id": "32d78057", "metadata": { "editable": true }, @@ -547,7 +547,7 @@ }, { "cell_type": "markdown", - "id": "45e00b5c", + "id": "b05fa6a7", "metadata": { "editable": true }, @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "0d8f4073", + "id": "5d01c3c2", "metadata": { "editable": true }, @@ -575,7 +575,7 @@ }, { "cell_type": "markdown", - "id": "32b84460", + "id": "f6abac54", "metadata": { "editable": true }, @@ -593,7 +593,7 @@ }, { "cell_type": "markdown", - "id": "b1603479", + "id": "83090779", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ }, { "cell_type": "markdown", - "id": "6b964217", + "id": "af17b7d4", "metadata": { "editable": true }, @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "ef7da021", + "id": "c67fb280", "metadata": { "editable": true }, @@ -628,7 +628,7 @@ }, { "cell_type": "markdown", - "id": "f36afc00", + "id": "e3289be1", "metadata": { "editable": true }, @@ -640,7 +640,7 @@ }, { "cell_type": "markdown", - "id": "c86b67b1", + "id": "edc4fe47", "metadata": { "editable": true }, @@ -650,7 +650,7 @@ }, { "cell_type": "markdown", - "id": "9f824fc3", + "id": "cae8f055", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "13294ac7", + "id": "cac6ff9f", "metadata": { "editable": true }, @@ -676,7 +676,7 @@ }, { "cell_type": "markdown", - "id": "d7e5700e", + "id": "50d4f5da", "metadata": { "editable": true }, @@ -688,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "1f1b9622", + "id": "150da64e", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ }, { "cell_type": "markdown", - "id": "d22ff920", + "id": "95b20a47", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ }, { "cell_type": "markdown", - "id": "308eae89", + "id": "51b0e4e3", "metadata": { "editable": true }, @@ -722,7 +722,7 @@ }, { "cell_type": "markdown", - "id": "69df69e0", + "id": "d6e1d862", "metadata": { "editable": true }, @@ -734,7 +734,7 @@ }, { "cell_type": "markdown", - "id": "989c0888", + "id": "bad539c1", "metadata": { "editable": true }, @@ -746,7 +746,7 @@ }, { "cell_type": "markdown", - "id": "796e59d4", + "id": "4a4f0d75", "metadata": { "editable": true }, @@ -758,7 +758,7 @@ }, { "cell_type": "markdown", - "id": "0ecc2fbb", + "id": "a71b3c23", "metadata": { "editable": true }, @@ -772,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "7f541061", + "id": "88befc96", "metadata": { "editable": true }, @@ -784,7 +784,7 @@ }, { "cell_type": "markdown", - "id": "150fcbf6", + "id": "d3f17e84", "metadata": { "editable": true }, @@ -796,7 +796,7 @@ }, { "cell_type": "markdown", - "id": "27b04c69", + "id": "daccd41d", "metadata": { "editable": true }, @@ -808,7 +808,7 @@ }, { "cell_type": "markdown", - "id": "9d121c2b", + "id": "00b3204d", "metadata": { "editable": true }, @@ -818,7 +818,7 @@ }, { "cell_type": "markdown", - "id": "de64d430", + "id": "8be5135b", "metadata": { "editable": true }, @@ -830,7 +830,7 @@ }, { "cell_type": "markdown", - "id": "60392be8", + "id": "0f573683", "metadata": { "editable": true }, @@ -840,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "3eeb0762", + "id": "bc6a156c", "metadata": { "editable": true }, @@ -852,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "5acbe964", + "id": "83c196bf", "metadata": { "editable": true }, @@ -862,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "a5e67241", + "id": "a350d475", "metadata": { "editable": true }, @@ -874,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "d80219d2", + "id": "4b7eabaf", "metadata": { "editable": true }, @@ -886,7 +886,7 @@ }, { "cell_type": "markdown", - "id": "7ec6b553", + "id": "90736966", "metadata": { "editable": true }, @@ -898,7 +898,7 @@ }, { "cell_type": "markdown", - "id": "bcd2cdff", + "id": "bb9a16ec", "metadata": { "editable": true }, @@ -913,7 +913,7 @@ }, { "cell_type": "markdown", - "id": "7160434b", + "id": "52518d34", "metadata": { "editable": true }, @@ -925,7 +925,7 @@ }, { "cell_type": "markdown", - "id": "ae1d7aa6", + "id": "139726b2", "metadata": { "editable": true }, @@ -935,7 +935,7 @@ }, { "cell_type": "markdown", - "id": "5ced56fe", + "id": "5684873d", "metadata": { "editable": true }, @@ -947,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "78444018", + "id": "acfde1eb", "metadata": { "editable": true }, @@ -957,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "4207abea", + "id": "db5a6f27", "metadata": { "editable": true }, @@ -969,7 +969,7 @@ }, { "cell_type": "markdown", - "id": "5ca388cb", + "id": "2b343d82", "metadata": { "editable": true }, @@ -979,7 +979,7 @@ }, { "cell_type": "markdown", - "id": "76bcca31", + "id": "6c2f023d", "metadata": { "editable": true }, @@ -991,7 +991,7 @@ }, { "cell_type": "markdown", - "id": "72a7c5d6", + "id": "7c575a3d", "metadata": { "editable": true }, @@ -1003,7 +1003,7 @@ }, { "cell_type": "markdown", - "id": "8ddd5a6c", + "id": "9cdd12ae", "metadata": { "editable": true }, @@ -1015,7 +1015,7 @@ }, { "cell_type": "markdown", - "id": "4ce22956", + "id": "2c747ecf", "metadata": { "editable": true }, @@ -1025,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "7a7a8220", + "id": "a1f1cac6", "metadata": { "editable": true }, @@ -1037,7 +1037,7 @@ }, { "cell_type": "markdown", - "id": "660f5feb", + "id": "38f0c38d", "metadata": { "editable": true }, @@ -1050,7 +1050,7 @@ }, { "cell_type": "markdown", - "id": "35130b19", + "id": "6e6e7a18", "metadata": { "editable": true }, @@ -1062,7 +1062,7 @@ }, { "cell_type": "markdown", - "id": "43929a90", + "id": "d0a300bf", "metadata": { "editable": true }, @@ -1072,7 +1072,7 @@ }, { "cell_type": "markdown", - "id": "b9484098", + "id": "8606b2f5", "metadata": { "editable": true }, @@ -1084,7 +1084,7 @@ }, { "cell_type": "markdown", - "id": "a8366c58", + "id": "8e808f42", "metadata": { "editable": true }, @@ -1094,7 +1094,7 @@ }, { "cell_type": "markdown", - "id": "22ff6985", + "id": "e60692f9", "metadata": { "editable": true }, @@ -1106,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "8129f022", + "id": "191a1403", "metadata": { "editable": true }, @@ -1116,7 +1116,7 @@ }, { "cell_type": "markdown", - "id": "d8ff6bb2", + "id": "85a48dc2", "metadata": { "editable": true }, @@ -1128,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "c8f81b3f", + "id": "322515bc", "metadata": { "editable": true }, @@ -1138,7 +1138,7 @@ }, { "cell_type": "markdown", - "id": "69af2c51", + "id": "07e78aa4", "metadata": { "editable": true }, @@ -1150,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "c9e254ef", + "id": "55e68f23", "metadata": { "editable": true }, @@ -1160,7 +1160,7 @@ }, { "cell_type": "markdown", - "id": "b1377365", + "id": "c4198d70", "metadata": { "editable": true }, @@ -1172,7 +1172,7 @@ }, { "cell_type": "markdown", - "id": "52258121", + "id": "b7d6fda2", "metadata": { "editable": true }, @@ -1184,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "7785c30e", + "id": "f76130c7", "metadata": { "editable": true }, @@ -1196,7 +1196,7 @@ }, { "cell_type": "markdown", - "id": "ba371063", + "id": "1eda8311", "metadata": { "editable": true }, @@ -1208,7 +1208,7 @@ }, { "cell_type": "markdown", - "id": "905ad22c", + "id": "cbcfc4ac", "metadata": { "editable": true }, @@ -1220,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "0f770989", + "id": "15f400be", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "c4c4d825", + "id": "1ea079a0", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "bca9faf0", + "id": "c55b7c42", "metadata": { "editable": true }, @@ -1258,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "678d6d8d", + "id": "74f1cbc2", "metadata": { "editable": true }, @@ -1270,7 +1270,7 @@ }, { "cell_type": "markdown", - "id": "9f18b73a", + "id": "281c8820", "metadata": { "editable": true }, @@ -1288,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "a738b78b", + "id": "cf35f2b0", "metadata": { "editable": true }, @@ -1300,7 +1300,7 @@ }, { "cell_type": "markdown", - "id": "c4325fac", + "id": "8db5ad71", "metadata": { "editable": true }, @@ -1312,7 +1312,7 @@ }, { "cell_type": "markdown", - "id": "d32fe699", + "id": "f39e2160", "metadata": { "editable": true }, @@ -1322,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "bdabaf26", + "id": "3e4e4e8d", "metadata": { "editable": true }, @@ -1334,7 +1334,7 @@ }, { "cell_type": "markdown", - "id": "1a13e693", + "id": "0323a489", "metadata": { "editable": true }, @@ -1344,7 +1344,7 @@ }, { "cell_type": "markdown", - "id": "b26dc6ec", + "id": "10339395", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "f42cbab8", + "id": "0b22fc31", "metadata": { "editable": true }, @@ -1366,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "a73bb0ea", + "id": "494b1a28", "metadata": { "editable": true }, @@ -1380,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "c1c8da9d", + "id": "d20c96cf", "metadata": { "editable": true }, @@ -1392,7 +1392,7 @@ }, { "cell_type": "markdown", - "id": "2ca0aef5", + "id": "7f81444b", "metadata": { "editable": true }, @@ -1403,7 +1403,7 @@ }, { "cell_type": "markdown", - "id": "d18683ee", + "id": "f81d6764", "metadata": { "editable": true }, @@ -1416,7 +1416,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "a4ea6710", + "id": "83225daf", "metadata": { "collapsed": false, "editable": true @@ -1443,7 +1443,7 @@ }, { "cell_type": "markdown", - "id": "6fb0024c", + "id": "f432b3ff", "metadata": { "editable": true }, @@ -1454,7 +1454,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "72a80735", + "id": "04b2ece5", "metadata": { "collapsed": false, "editable": true @@ -1467,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "3768a40c", + "id": "8467ac97", "metadata": { "editable": true }, @@ -1481,7 +1481,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "d5af18c7", + "id": "fb24217a", "metadata": { "collapsed": false, "editable": true @@ -1494,7 +1494,7 @@ }, { "cell_type": "markdown", - "id": "92c5153f", + "id": "95050d99", "metadata": { "editable": true }, @@ -1505,7 +1505,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "09511b52", + "id": "7daecb54", "metadata": { "collapsed": false, "editable": true @@ -1517,7 +1517,7 @@ }, { "cell_type": "markdown", - "id": "d92d6b51", + "id": "616c641c", "metadata": { "editable": true }, @@ -1528,7 +1528,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "4e16843d", + "id": "ad94a295", "metadata": { "collapsed": false, "editable": true @@ -1544,7 +1544,7 @@ }, { "cell_type": "markdown", - "id": "acef1cf8", + "id": "afb8bdc0", "metadata": { "editable": true }, @@ -1555,7 +1555,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "11d5e613", + "id": "d9382131", "metadata": { "collapsed": false, "editable": true @@ -1569,7 +1569,7 @@ }, { "cell_type": "markdown", - "id": "216b1096", + "id": "81a3e982", "metadata": { "editable": true }, @@ -1590,7 +1590,7 @@ }, { "cell_type": "markdown", - "id": "8fa67728", + "id": "f58f6c21", "metadata": { "editable": true }, @@ -1601,7 +1601,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "28c9c5f2", + "id": "bb9a3b77", "metadata": { "collapsed": false, "editable": true @@ -1654,7 +1654,7 @@ }, { "cell_type": "markdown", - "id": "97af1cca", + "id": "c977c2ac", "metadata": { "editable": true }, @@ -1665,7 +1665,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e4ca68c4", + "id": "2676b30f", "metadata": { "collapsed": false, "editable": true @@ -1690,7 +1690,7 @@ }, { "cell_type": "markdown", - "id": "16a219af", + "id": "53eb00be", "metadata": { "editable": true }, @@ -1702,7 +1702,7 @@ }, { "cell_type": "markdown", - "id": "d99baccc", + "id": "893ea33c", "metadata": { "editable": true }, @@ -1731,7 +1731,7 @@ }, { "cell_type": "markdown", - "id": "382627de", + "id": "fcfef74e", "metadata": { "editable": true }, @@ -1756,7 +1756,7 @@ }, { "cell_type": "markdown", - "id": "dbe9c5e7", + "id": "40a6072e", "metadata": { "editable": true }, @@ -1776,7 +1776,7 @@ }, { "cell_type": "markdown", - "id": "76afa0fa", + "id": "6464d00e", "metadata": { "editable": true }, @@ -1803,7 +1803,7 @@ }, { "cell_type": "markdown", - "id": "7a3ee226", + "id": "f69bee17", "metadata": { "editable": true }, @@ -1816,7 +1816,7 @@ }, { "cell_type": "markdown", - "id": "a3b3ad3e", + "id": "ae4d66ae", "metadata": { "editable": true }, @@ -1828,7 +1828,7 @@ }, { "cell_type": "markdown", - "id": "5c0f36af", + "id": "9a60e683", "metadata": { "editable": true }, @@ -1839,7 +1839,7 @@ }, { "cell_type": "markdown", - "id": "3de5eca9", + "id": "45315f93", "metadata": { "editable": true }, @@ -1855,7 +1855,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "e836c1eb", + "id": "7fe845e8", "metadata": { "collapsed": false, "editable": true @@ -1889,7 +1889,7 @@ }, { "cell_type": "markdown", - "id": "03c9b6b3", + "id": "049d9edb", "metadata": { "editable": true }, @@ -1899,7 +1899,7 @@ }, { "cell_type": "markdown", - "id": "ecabe53c", + "id": "e098f1e2", "metadata": { "editable": true }, @@ -1914,7 +1914,7 @@ }, { "cell_type": "markdown", - "id": "daa74ff5", + "id": "afe0f097", "metadata": { "editable": true }, @@ -1926,7 +1926,7 @@ }, { "cell_type": "markdown", - "id": "4bf5d4cc", + "id": "8c4c32c9", "metadata": { "editable": true }, @@ -1936,7 +1936,7 @@ }, { "cell_type": "markdown", - "id": "bff437d3", + "id": "3e3af961", "metadata": { "editable": true }, @@ -1952,7 +1952,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "e4815d9d", + "id": "364363ed", "metadata": { "collapsed": false, "editable": true @@ -1969,7 +1969,7 @@ }, { "cell_type": "markdown", - "id": "ac106c70", + "id": "f85005a3", "metadata": { "editable": true }, @@ -1982,7 +1982,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "b3b4d1c5", + "id": "47c9afad", "metadata": { "collapsed": false, "editable": true @@ -2029,7 +2029,7 @@ }, { "cell_type": "markdown", - "id": "588605a3", + "id": "2d522b5b", "metadata": { "editable": true }, @@ -2040,7 +2040,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "eac5c19b", + "id": "0aed60c8", "metadata": { "collapsed": false, "editable": true @@ -2143,7 +2143,7 @@ }, { "cell_type": "markdown", - "id": "e09cfcf0", + "id": "fa165453", "metadata": { "editable": true }, @@ -2171,7 +2171,7 @@ }, { "cell_type": "markdown", - "id": "2bbf93a9", + "id": "734df471", "metadata": { "editable": true }, @@ -2206,7 +2206,7 @@ }, { "cell_type": "markdown", - "id": "51f3121a", + "id": "b6bde2ec", "metadata": { "editable": true }, @@ -2221,7 +2221,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "e5bfd742", + "id": "0e49b148", "metadata": { "collapsed": false, "editable": true @@ -2246,7 +2246,7 @@ }, { "cell_type": "markdown", - "id": "61e91fe1", + "id": "a4397707", "metadata": { "editable": true }, @@ -2262,7 +2262,7 @@ }, { "cell_type": "markdown", - "id": "02fa2126", + "id": "0c113b92", "metadata": { "editable": true }, @@ -2274,7 +2274,7 @@ }, { "cell_type": "markdown", - "id": "c5ea5b96", + "id": "18d476bc", "metadata": { "editable": true }, @@ -2289,7 +2289,7 @@ }, { "cell_type": "markdown", - "id": "6dbfbe9a", + "id": "3cf3b752", "metadata": { "editable": true }, @@ -2301,7 +2301,7 @@ }, { "cell_type": "markdown", - "id": "e3318d8a", + "id": "ed2af561", "metadata": { "editable": true }, @@ -2311,7 +2311,7 @@ }, { "cell_type": "markdown", - "id": "7a7f2bb0", + "id": "b37a9e65", "metadata": { "editable": true }, @@ -2323,7 +2323,7 @@ }, { "cell_type": "markdown", - "id": "7b9072eb", + "id": "f9775ea0", "metadata": { "editable": true }, @@ -2333,7 +2333,7 @@ }, { "cell_type": "markdown", - "id": "fb9fc6af", + "id": "cecd5fc2", "metadata": { "editable": true }, @@ -2345,7 +2345,7 @@ }, { "cell_type": "markdown", - "id": "5b1d9bae", + "id": "52fcc61e", "metadata": { "editable": true }, @@ -2358,7 +2358,7 @@ }, { "cell_type": "markdown", - "id": "aa9d7398", + "id": "000d54d2", "metadata": { "editable": true }, @@ -2370,7 +2370,7 @@ }, { "cell_type": "markdown", - "id": "1ba94b15", + "id": "0fed9be4", "metadata": { "editable": true }, @@ -2380,7 +2380,7 @@ }, { "cell_type": "markdown", - "id": "2c91f4b9", + "id": "0c61aa7b", "metadata": { "editable": true }, @@ -2392,7 +2392,7 @@ }, { "cell_type": "markdown", - "id": "f227a642", + "id": "b390be2f", "metadata": { "editable": true }, @@ -2402,7 +2402,7 @@ }, { "cell_type": "markdown", - "id": "744d6fcc", + "id": "aab8c64c", "metadata": { "editable": true }, @@ -2414,7 +2414,7 @@ }, { "cell_type": "markdown", - "id": "c07272e6", + "id": "269cff24", "metadata": { "editable": true }, @@ -2424,7 +2424,7 @@ }, { "cell_type": "markdown", - "id": "28b1cf18", + "id": "66e6ecf2", "metadata": { "editable": true }, @@ -2436,7 +2436,7 @@ }, { "cell_type": "markdown", - "id": "d9e5287b", + "id": "33bddc5a", "metadata": { "editable": true }, @@ -2446,7 +2446,7 @@ }, { "cell_type": "markdown", - "id": "d2b5ee59", + "id": "1e81b738", "metadata": { "editable": true }, @@ -2458,7 +2458,7 @@ }, { "cell_type": "markdown", - "id": "ae591a22", + "id": "b182f371", "metadata": { "editable": true }, @@ -2468,7 +2468,7 @@ }, { "cell_type": "markdown", - "id": "bbb4efc5", + "id": "97caf464", "metadata": { "editable": true }, @@ -2480,7 +2480,7 @@ }, { "cell_type": "markdown", - "id": "76c37a89", + "id": "d44cf34a", "metadata": { "editable": true }, @@ -2490,7 +2490,7 @@ }, { "cell_type": "markdown", - "id": "ac78f014", + "id": "98301664", "metadata": { "editable": true }, @@ -2502,7 +2502,7 @@ }, { "cell_type": "markdown", - "id": "01c57df2", + "id": "c10a9495", "metadata": { "editable": true }, @@ -2514,7 +2514,7 @@ }, { "cell_type": "markdown", - "id": "5c77be60", + "id": "e55bc871", "metadata": { "editable": true }, @@ -2526,7 +2526,7 @@ }, { "cell_type": "markdown", - "id": "7448d02c", + "id": "6033356d", "metadata": { "editable": true }, @@ -2539,7 +2539,7 @@ }, { "cell_type": "markdown", - "id": "6b16f287", + "id": "d064973a", "metadata": { "editable": true }, @@ -2551,7 +2551,7 @@ }, { "cell_type": "markdown", - "id": "d6f810af", + "id": "21607d44", "metadata": { "editable": true }, @@ -2561,7 +2561,7 @@ }, { "cell_type": "markdown", - "id": "6b506524", + "id": "55a9f200", "metadata": { "editable": true }, @@ -2575,7 +2575,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "d39358da", + "id": "35f99de0", "metadata": { "collapsed": false, "editable": true @@ -2672,7 +2672,7 @@ }, { "cell_type": "markdown", - "id": "1c2292c1", + "id": "5eb9aa4d", "metadata": { "editable": true }, @@ -2693,7 +2693,7 @@ }, { "cell_type": "markdown", - "id": "1fa67201", + "id": "5cbdc215", "metadata": { "editable": true }, @@ -2705,7 +2705,7 @@ }, { "cell_type": "markdown", - "id": "137f3aa8", + "id": "a148d669", "metadata": { "editable": true }, @@ -2715,7 +2715,7 @@ }, { "cell_type": "markdown", - "id": "b5fd0444", + "id": "a04efc28", "metadata": { "editable": true }, @@ -2727,7 +2727,7 @@ }, { "cell_type": "markdown", - "id": "04e6de19", + "id": "d004f9af", "metadata": { "editable": true }, @@ -2737,7 +2737,7 @@ }, { "cell_type": "markdown", - "id": "2cd0f6df", + "id": "33d88186", "metadata": { "editable": true }, @@ -2749,7 +2749,7 @@ }, { "cell_type": "markdown", - "id": "f833976e", + "id": "79a0fcd6", "metadata": { "editable": true }, @@ -2765,7 +2765,7 @@ }, { "cell_type": "markdown", - "id": "0526f8a3", + "id": "5276fcae", "metadata": { "editable": true }, @@ -2809,7 +2809,7 @@ }, { "cell_type": "markdown", - "id": "132ef74f", + "id": "6071dd24", "metadata": { "editable": true }, @@ -2821,7 +2821,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "25ecbae5", + "id": "c878cffa", "metadata": { "collapsed": false, "editable": true @@ -2837,7 +2837,7 @@ }, { "cell_type": "markdown", - "id": "dd07b613", + "id": "5ae29df1", "metadata": { "editable": true }, @@ -2848,7 +2848,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "217c66c6", + "id": "0c27343f", "metadata": { "collapsed": false, "editable": true @@ -2866,7 +2866,7 @@ }, { "cell_type": "markdown", - "id": "a74cd412", + "id": "bd362de3", "metadata": { "editable": true }, @@ -2877,7 +2877,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "7252d534", + "id": "1042f631", "metadata": { "collapsed": false, "editable": true @@ -2891,7 +2891,7 @@ }, { "cell_type": "markdown", - "id": "9bc51de3", + "id": "82185c81", "metadata": { "editable": true }, @@ -2902,7 +2902,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "5209e335", + "id": "dd4764d2", "metadata": { "collapsed": false, "editable": true @@ -2915,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "2f7e2bce", + "id": "2b18d348", "metadata": { "editable": true }, @@ -2926,7 +2926,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "f40dddbb", + "id": "ad218084", "metadata": { "collapsed": false, "editable": true @@ -2943,7 +2943,7 @@ }, { "cell_type": "markdown", - "id": "4c784974", + "id": "37596ce4", "metadata": { "editable": true }, @@ -2954,7 +2954,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "f41e4472", + "id": "c64afdcd", "metadata": { "collapsed": false, "editable": true @@ -2970,7 +2970,7 @@ }, { "cell_type": "markdown", - "id": "ddbe7e53", + "id": "f74d7c0e", "metadata": { "editable": true }, @@ -2981,7 +2981,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "fb697c78", + "id": "05f432c4", "metadata": { "collapsed": false, "editable": true @@ -3005,7 +3005,7 @@ }, { "cell_type": "markdown", - "id": "e9883aae", + "id": "7eccf967", "metadata": { "editable": true }, @@ -3016,7 +3016,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "3b54b6a2", + "id": "e4e2ffd8", "metadata": { "collapsed": false, "editable": true @@ -3029,7 +3029,7 @@ }, { "cell_type": "markdown", - "id": "787c8475", + "id": "df5c1bb8", "metadata": { "editable": true }, @@ -3040,7 +3040,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "c88e54a9", + "id": "f5103c3e", "metadata": { "collapsed": false, "editable": true @@ -3060,7 +3060,7 @@ }, { "cell_type": "markdown", - "id": "6facc9e0", + "id": "b03da257", "metadata": { "editable": true }, @@ -3071,7 +3071,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "0fe2de24", + "id": "862a3613", "metadata": { "collapsed": false, "editable": true @@ -3114,7 +3114,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "33e2f09a", + "id": "28414bfe", "metadata": { "collapsed": false, "editable": true @@ -3129,7 +3129,7 @@ }, { "cell_type": "markdown", - "id": "7af3d057", + "id": "423c5193", "metadata": { "editable": true }, @@ -3139,7 +3139,7 @@ }, { "cell_type": "markdown", - "id": "c5cc4ff1", + "id": "40134015", "metadata": { "editable": true }, @@ -3153,7 +3153,7 @@ }, { "cell_type": "markdown", - "id": "e187c407", + "id": "2ea33726", "metadata": { "editable": true }, @@ -3165,7 +3165,7 @@ }, { "cell_type": "markdown", - "id": "80c1e1d2", + "id": "b20e3c69", "metadata": { "editable": true }, @@ -3177,7 +3177,7 @@ }, { "cell_type": "markdown", - "id": "d08c63a8", + "id": "86928159", "metadata": { "editable": true }, @@ -3189,7 +3189,7 @@ }, { "cell_type": "markdown", - "id": "e4199d04", + "id": "7f876bba", "metadata": { "editable": true }, @@ -3199,7 +3199,7 @@ }, { "cell_type": "markdown", - "id": "1cd0a12a", + "id": "1a0f675e", "metadata": { "editable": true }, @@ -3211,7 +3211,7 @@ }, { "cell_type": "markdown", - "id": "c4de93ba", + "id": "5b09cb8c", "metadata": { "editable": true }, @@ -3221,7 +3221,7 @@ }, { "cell_type": "markdown", - "id": "27136288", + "id": "2d734fd4", "metadata": { "editable": true }, @@ -3233,7 +3233,7 @@ }, { "cell_type": "markdown", - "id": "a088b960", + "id": "7bd3f98e", "metadata": { "editable": true }, @@ -3244,7 +3244,7 @@ }, { "cell_type": "markdown", - "id": "1a02ddbb", + "id": "37d9ae55", "metadata": { "editable": true }, @@ -3256,7 +3256,7 @@ }, { "cell_type": "markdown", - "id": "ed18d091", + "id": "457c49df", "metadata": { "editable": true }, @@ -3268,7 +3268,7 @@ }, { "cell_type": "markdown", - "id": "3d5b79af", + "id": "72cb8e53", "metadata": { "editable": true }, @@ -3278,7 +3278,7 @@ }, { "cell_type": "markdown", - "id": "dda4570b", + "id": "d5a2f7bf", "metadata": { "editable": true }, @@ -3290,7 +3290,7 @@ }, { "cell_type": "markdown", - "id": "11d8d3e3", + "id": "6c1d3ae9", "metadata": { "editable": true }, @@ -3302,7 +3302,7 @@ }, { "cell_type": "markdown", - "id": "46901f0f", + "id": "fbd16f90", "metadata": { "editable": true }, @@ -3312,7 +3312,7 @@ }, { "cell_type": "markdown", - "id": "9189fcdb", + "id": "b112d398", "metadata": { "editable": true }, @@ -3324,7 +3324,7 @@ }, { "cell_type": "markdown", - "id": "90000eee", + "id": "02cd55a7", "metadata": { "editable": true }, @@ -3334,7 +3334,7 @@ }, { "cell_type": "markdown", - "id": "e82d1f9c", + "id": "0f91ca1c", "metadata": { "editable": true }, @@ -3346,7 +3346,7 @@ }, { "cell_type": "markdown", - "id": "072720c0", + "id": "4c9a1014", "metadata": { "editable": true }, @@ -3356,7 +3356,7 @@ }, { "cell_type": "markdown", - "id": "dd15f44d", + "id": "bbf65400", "metadata": { "editable": true }, @@ -3396,7 +3396,7 @@ }, { "cell_type": "markdown", - "id": "6fb5a31f", + "id": "e86aedda", "metadata": { "editable": true }, @@ -3413,7 +3413,7 @@ }, { "cell_type": "markdown", - "id": "179c61b1", + "id": "5607899f", "metadata": { "editable": true }, @@ -3436,7 +3436,7 @@ }, { "cell_type": "markdown", - "id": "5c43a81e", + "id": "ee828c1a", "metadata": { "editable": true }, @@ -3453,7 +3453,7 @@ }, { "cell_type": "markdown", - "id": "29134082", + "id": "8cf44f4b", "metadata": { "editable": true }, @@ -3472,7 +3472,7 @@ }, { "cell_type": "markdown", - "id": "8ef42f32", + "id": "41c01ec3", "metadata": { "editable": true }, @@ -3483,7 +3483,7 @@ }, { "cell_type": "markdown", - "id": "076c58c7", + "id": "2abae461", "metadata": { "editable": true }, @@ -3495,7 +3495,7 @@ }, { "cell_type": "markdown", - "id": "04db202f", + "id": "9b9091ee", "metadata": { "editable": true }, @@ -3513,7 +3513,7 @@ }, { "cell_type": "markdown", - "id": "b60cb6b5", + "id": "e9c2ef56", "metadata": { "editable": true }, @@ -3529,7 +3529,7 @@ }, { "cell_type": "markdown", - "id": "d29615f2", + "id": "f85233fa", "metadata": { "editable": true }, @@ -3541,7 +3541,7 @@ }, { "cell_type": "markdown", - "id": "1f2c3f1e", + "id": "61b8cabc", "metadata": { "editable": true }, @@ -3551,7 +3551,7 @@ }, { "cell_type": "markdown", - "id": "759ab85a", + "id": "9b057486", "metadata": { "editable": true }, @@ -3566,7 +3566,7 @@ }, { "cell_type": "markdown", - "id": "4538c162", + "id": "6274419d", "metadata": { "editable": true }, @@ -3578,7 +3578,7 @@ }, { "cell_type": "markdown", - "id": "a5617e01", + "id": "213c9ae6", "metadata": { "editable": true }, @@ -3588,7 +3588,7 @@ }, { "cell_type": "markdown", - "id": "fe0b46d4", + "id": "6a9de3b7", "metadata": { "editable": true }, @@ -3600,7 +3600,7 @@ }, { "cell_type": "markdown", - "id": "7695cd6a", + "id": "d7ce3387", "metadata": { "editable": true }, @@ -3610,7 +3610,7 @@ }, { "cell_type": "markdown", - "id": "26601b01", + "id": "98ff9d86", "metadata": { "editable": true }, @@ -3622,7 +3622,7 @@ }, { "cell_type": "markdown", - "id": "6a2d467f", + "id": "2b327be5", "metadata": { "editable": true }, @@ -3634,7 +3634,7 @@ }, { "cell_type": "markdown", - "id": "a830ae89", + "id": "2c1a9126", "metadata": { "editable": true }, @@ -3649,7 +3649,7 @@ }, { "cell_type": "markdown", - "id": "488dd05c", + "id": "3c92214f", "metadata": { "editable": true }, @@ -3660,7 +3660,7 @@ }, { "cell_type": "markdown", - "id": "0383a3b6", + "id": "534f2e5f", "metadata": { "editable": true }, @@ -3680,7 +3680,7 @@ }, { "cell_type": "markdown", - "id": "10e82320", + "id": "7b60adf4", "metadata": { "editable": true }, @@ -3692,7 +3692,7 @@ }, { "cell_type": "markdown", - "id": "59a6e34a", + "id": "8a70724c", "metadata": { "editable": true }, @@ -3702,7 +3702,7 @@ }, { "cell_type": "markdown", - "id": "ab9dc4a5", + "id": "428c905b", "metadata": { "editable": true }, @@ -3714,7 +3714,7 @@ }, { "cell_type": "markdown", - "id": "51c1c028", + "id": "874e40ee", "metadata": { "editable": true }, @@ -3743,7 +3743,7 @@ }, { "cell_type": "markdown", - "id": "ec252687", + "id": "35f9527c", "metadata": { "editable": true }, @@ -3770,7 +3770,7 @@ }, { "cell_type": "markdown", - "id": "156bfe10", + "id": "fdd5aa47", "metadata": { "editable": true }, @@ -3781,7 +3781,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "3c182484", + "id": "01e4de19", "metadata": { "collapsed": false, "editable": true @@ -3821,7 +3821,7 @@ }, { "cell_type": "markdown", - "id": "98a0e5ec", + "id": "d4de121b", "metadata": { "editable": true }, @@ -3838,7 +3838,7 @@ }, { "cell_type": "markdown", - "id": "b69361d0", + "id": "7ca8d39b", "metadata": { "editable": true }, @@ -3861,7 +3861,7 @@ }, { "cell_type": "markdown", - "id": "8d7c0cc8", + "id": "bdcff808", "metadata": { "editable": true }, @@ -3875,7 +3875,7 @@ }, { "cell_type": "markdown", - "id": "0a45fa90", + "id": "28074411", "metadata": { "editable": true }, @@ -3894,7 +3894,7 @@ }, { "cell_type": "markdown", - "id": "add34bfc", + "id": "4ea2fc19", "metadata": { "editable": true }, @@ -3904,7 +3904,7 @@ }, { "cell_type": "markdown", - "id": "f00ff6da", + "id": "a1fee3ce", "metadata": { "editable": true }, @@ -3916,7 +3916,7 @@ }, { "cell_type": "markdown", - "id": "348cd8df", + "id": "fd762673", "metadata": { "editable": true }, @@ -3930,7 +3930,7 @@ }, { "cell_type": "markdown", - "id": "f7697c17", + "id": "f20cf9e9", "metadata": { "editable": true }, @@ -3942,7 +3942,7 @@ }, { "cell_type": "markdown", - "id": "64417096", + "id": "85368feb", "metadata": { "editable": true }, @@ -3952,7 +3952,7 @@ }, { "cell_type": "markdown", - "id": "ded28c47", + "id": "a8770954", "metadata": { "editable": true }, @@ -3964,7 +3964,7 @@ }, { "cell_type": "markdown", - "id": "f70d6ea7", + "id": "4a270875", "metadata": { "editable": true }, @@ -3981,7 +3981,7 @@ }, { "cell_type": "markdown", - "id": "68ecbbfa", + "id": "680b5723", "metadata": { "editable": true }, @@ -3991,7 +3991,7 @@ }, { "cell_type": "markdown", - "id": "73db495d", + "id": "4ccca506", "metadata": { "editable": true }, @@ -4007,7 +4007,7 @@ }, { "cell_type": "markdown", - "id": "44412861", + "id": "1e79a5cc", "metadata": { "editable": true }, @@ -4017,7 +4017,7 @@ }, { "cell_type": "markdown", - "id": "985de8ad", + "id": "27b3b9fe", "metadata": { "editable": true }, @@ -4033,7 +4033,7 @@ }, { "cell_type": "markdown", - "id": "bae93d68", + "id": "a351c847", "metadata": { "editable": true }, @@ -4043,7 +4043,7 @@ }, { "cell_type": "markdown", - "id": "e29bd644", + "id": "aa000d05", "metadata": { "editable": true }, @@ -4059,7 +4059,7 @@ }, { "cell_type": "markdown", - "id": "3abf4a2d", + "id": "2d519658", "metadata": { "editable": true }, @@ -4069,7 +4069,7 @@ }, { "cell_type": "markdown", - "id": "fe1e2ce7", + "id": "0870c7af", "metadata": { "editable": true }, @@ -4086,7 +4086,7 @@ }, { "cell_type": "markdown", - "id": "d23d044b", + "id": "084c61ee", "metadata": { "editable": true }, @@ -4098,7 +4098,7 @@ }, { "cell_type": "markdown", - "id": "36e38f22", + "id": "a3d4ccfa", "metadata": { "editable": true }, @@ -4110,7 +4110,7 @@ }, { "cell_type": "markdown", - "id": "ad22843b", + "id": "59ba92d2", "metadata": { "editable": true }, @@ -4122,7 +4122,7 @@ }, { "cell_type": "markdown", - "id": "fabcf0f8", + "id": "b5e2f754", "metadata": { "editable": true }, @@ -4132,7 +4132,7 @@ }, { "cell_type": "markdown", - "id": "2c2f44c5", + "id": "9cb23cb1", "metadata": { "editable": true }, @@ -4144,7 +4144,7 @@ }, { "cell_type": "markdown", - "id": "105762d0", + "id": "1c3ffc6f", "metadata": { "editable": true }, @@ -4156,7 +4156,7 @@ }, { "cell_type": "markdown", - "id": "35a42e41", + "id": "786439ab", "metadata": { "editable": true }, @@ -4168,7 +4168,7 @@ }, { "cell_type": "markdown", - "id": "8e21698f", + "id": "51d4bb29", "metadata": { "editable": true }, @@ -4178,7 +4178,7 @@ }, { "cell_type": "markdown", - "id": "a240efc0", + "id": "79bdc7d5", "metadata": { "editable": true }, @@ -4190,17 +4190,17 @@ }, { "cell_type": "markdown", - "id": "3919a2cb", + "id": "a48d61d1", "metadata": { "editable": true }, "source": [ - "which gives us, using the orthogonality of the matrices $\\boldsymbol{U}$ and $\\boldsymbol{V}$," + "which gives us, using the orthogonality of the matrix $\\boldsymbol{V}$," ] }, { "cell_type": "markdown", - "id": "ddf99a3e", + "id": "3c8b52bf", "metadata": { "editable": true }, @@ -4212,7 +4212,7 @@ }, { "cell_type": "markdown", - "id": "5a790d25", + "id": "d902463f", "metadata": { "editable": true }, @@ -4220,13 +4220,15 @@ "It means that the ordinary least square model (with the optimal\n", "parameters) $\\boldsymbol{\\tilde{y}}$, corresponds to an orthogonal\n", "transformation of the output (or target) vector $\\boldsymbol{y}$ by the\n", - "vectors of the matrix $\\boldsymbol{U}$. Note that the summation ends at $p-1$,\n", - "that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$." + "vectors of the matrix $\\boldsymbol{U}$. **Note that the summation ends at**\n", + "$p-1$, that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$. We can thus not use the\n", + "orthogonality relation for the matrix $\\boldsymbol{U}$. This can already be\n", + "when we multiply the matrices $\\boldsymbol{\\Sigma}^T\\boldsymbol{U}^T$." ] }, { "cell_type": "markdown", - "id": "113a5d16", + "id": "955c3dda", "metadata": { "editable": true }, @@ -4238,7 +4240,7 @@ }, { "cell_type": "markdown", - "id": "ec65ec89", + "id": "af6d057f", "metadata": { "editable": true }, @@ -4250,7 +4252,7 @@ }, { "cell_type": "markdown", - "id": "ed891134", + "id": "1200c060", "metadata": { "editable": true }, @@ -4260,7 +4262,7 @@ }, { "cell_type": "markdown", - "id": "5266f146", + "id": "18782e94", "metadata": { "editable": true }, @@ -4272,7 +4274,7 @@ }, { "cell_type": "markdown", - "id": "666ab5b3", + "id": "f51193b6", "metadata": { "editable": true }, @@ -4283,7 +4285,7 @@ }, { "cell_type": "markdown", - "id": "ab9a3eec", + "id": "293c5f44", "metadata": { "editable": true }, @@ -4295,7 +4297,7 @@ }, { "cell_type": "markdown", - "id": "252e7533", + "id": "8e5cd6b1", "metadata": { "editable": true }, @@ -4305,7 +4307,7 @@ }, { "cell_type": "markdown", - "id": "201b9300", + "id": "79a79025", "metadata": { "editable": true }, @@ -4317,7 +4319,7 @@ }, { "cell_type": "markdown", - "id": "4f6287cf", + "id": "9bbddbf2", "metadata": { "editable": true }, @@ -4327,7 +4329,7 @@ }, { "cell_type": "markdown", - "id": "1ace6d06", + "id": "1a80c23e", "metadata": { "editable": true }, @@ -4339,7 +4341,7 @@ }, { "cell_type": "markdown", - "id": "274f98fb", + "id": "f5af565e", "metadata": { "editable": true }, @@ -4350,7 +4352,7 @@ }, { "cell_type": "markdown", - "id": "70dc1b76", + "id": "dd518e36", "metadata": { "editable": true }, @@ -4362,7 +4364,7 @@ }, { "cell_type": "markdown", - "id": "096c55e9", + "id": "082bcee9", "metadata": { "editable": true }, @@ -4380,7 +4382,7 @@ }, { "cell_type": "markdown", - "id": "0ac9bdae", + "id": "bdbc4fa9", "metadata": { "editable": true }, @@ -4396,7 +4398,7 @@ }, { "cell_type": "markdown", - "id": "a456e251", + "id": "33adf71a", "metadata": { "editable": true }, @@ -4408,7 +4410,7 @@ }, { "cell_type": "markdown", - "id": "7c817401", + "id": "3794d9a9", "metadata": { "editable": true }, @@ -4420,7 +4422,7 @@ }, { "cell_type": "markdown", - "id": "20d7bb5d", + "id": "55e25f81", "metadata": { "editable": true }, @@ -4432,7 +4434,7 @@ }, { "cell_type": "markdown", - "id": "52a9f64e", + "id": "47657755", "metadata": { "editable": true }, @@ -4445,7 +4447,7 @@ }, { "cell_type": "markdown", - "id": "77820e66", + "id": "bfdc6c11", "metadata": { "editable": true }, @@ -4461,7 +4463,7 @@ }, { "cell_type": "markdown", - "id": "dc6ab9cd", + "id": "b10b21d6", "metadata": { "editable": true }, @@ -4475,7 +4477,7 @@ }, { "cell_type": "markdown", - "id": "8a8ee502", + "id": "127632f4", "metadata": { "editable": true }, @@ -4485,7 +4487,7 @@ }, { "cell_type": "markdown", - "id": "f377b529", + "id": "ddd29440", "metadata": { "editable": true }, @@ -4497,7 +4499,7 @@ }, { "cell_type": "markdown", - "id": "e572a54d", + "id": "8f1426a9", "metadata": { "editable": true }, @@ -4507,7 +4509,7 @@ }, { "cell_type": "markdown", - "id": "1b9c72f5", + "id": "8af09cbd", "metadata": { "editable": true }, @@ -4519,7 +4521,7 @@ }, { "cell_type": "markdown", - "id": "15c56784", + "id": "fbb24d4a", "metadata": { "editable": true }, @@ -4529,7 +4531,7 @@ }, { "cell_type": "markdown", - "id": "a03c1a32", + "id": "108264c8", "metadata": { "editable": true }, @@ -4543,7 +4545,7 @@ }, { "cell_type": "markdown", - "id": "af372da2", + "id": "1df71171", "metadata": { "editable": true }, @@ -4560,7 +4562,7 @@ }, { "cell_type": "markdown", - "id": "9200f285", + "id": "94f43fa7", "metadata": { "editable": true }, @@ -4576,7 +4578,7 @@ }, { "cell_type": "markdown", - "id": "d5becae6", + "id": "35a9e26e", "metadata": { "editable": true }, @@ -4588,7 +4590,7 @@ }, { "cell_type": "markdown", - "id": "27e6e5b8", + "id": "570d029f", "metadata": { "editable": true }, @@ -4601,7 +4603,7 @@ }, { "cell_type": "markdown", - "id": "06454f55", + "id": "2920ebfe", "metadata": { "editable": true }, @@ -4615,7 +4617,7 @@ }, { "cell_type": "markdown", - "id": "833b2511", + "id": "508ef7cd", "metadata": { "editable": true }, @@ -4625,7 +4627,7 @@ }, { "cell_type": "markdown", - "id": "056aceed", + "id": "47eaf212", "metadata": { "editable": true }, @@ -4638,7 +4640,7 @@ }, { "cell_type": "markdown", - "id": "950f361e", + "id": "c88297fa", "metadata": { "editable": true }, @@ -4657,7 +4659,7 @@ }, { "cell_type": "markdown", - "id": "2d8ac5c2", + "id": "0eb1beac", "metadata": { "editable": true }, @@ -4669,7 +4671,7 @@ }, { "cell_type": "markdown", - "id": "62d04779", + "id": "f8055f42", "metadata": { "editable": true }, @@ -4681,7 +4683,7 @@ }, { "cell_type": "markdown", - "id": "797b13b8", + "id": "18b7ca49", "metadata": { "editable": true }, @@ -4691,7 +4693,7 @@ }, { "cell_type": "markdown", - "id": "bd705147", + "id": "bf084294", "metadata": { "editable": true }, @@ -4703,7 +4705,7 @@ }, { "cell_type": "markdown", - "id": "542850cc", + "id": "d2d914bb", "metadata": { "editable": true }, @@ -4716,7 +4718,7 @@ }, { "cell_type": "markdown", - "id": "db1aaf48", + "id": "28d0307c", "metadata": { "editable": true }, @@ -4735,7 +4737,7 @@ }, { "cell_type": "markdown", - "id": "6dc65433", + "id": "c1022b8b", "metadata": { "editable": true }, @@ -4745,7 +4747,7 @@ }, { "cell_type": "markdown", - "id": "ccd95a67", + "id": "9813aced", "metadata": { "editable": true }, @@ -4764,7 +4766,7 @@ }, { "cell_type": "markdown", - "id": "c15cc257", + "id": "624e1592", "metadata": { "editable": true }, @@ -4782,7 +4784,7 @@ }, { "cell_type": "markdown", - "id": "cc4a5463", + "id": "3e69238f", "metadata": { "editable": true }, @@ -4796,7 +4798,7 @@ }, { "cell_type": "markdown", - "id": "b8cfd6fa", + "id": "1adcab4e", "metadata": { "editable": true }, @@ -4811,7 +4813,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "31e1da88", + "id": "d7a3937b", "metadata": { "collapsed": false, "editable": true @@ -4832,7 +4834,7 @@ }, { "cell_type": "markdown", - "id": "24a933c2", + "id": "7668b290", "metadata": { "editable": true }, @@ -4849,7 +4851,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "8d9779ce", + "id": "22a46238", "metadata": { "collapsed": false, "editable": true @@ -4881,7 +4883,7 @@ }, { "cell_type": "markdown", - "id": "c7e322b5", + "id": "8d60df16", "metadata": { "editable": true }, @@ -4895,7 +4897,7 @@ }, { "cell_type": "markdown", - "id": "ea5682d7", + "id": "5cce022a", "metadata": { "editable": true }, @@ -4908,7 +4910,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "0e83fcbc", + "id": "ce383181", "metadata": { "collapsed": false, "editable": true @@ -4933,7 +4935,7 @@ }, { "cell_type": "markdown", - "id": "1226fab9", + "id": "5af761f5", "metadata": { "editable": true }, @@ -4943,7 +4945,7 @@ }, { "cell_type": "markdown", - "id": "923ffc58", + "id": "43c34a93", "metadata": { "editable": true }, @@ -4954,7 +4956,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "145c2622", + "id": "98ae9abd", "metadata": { "collapsed": false, "editable": true @@ -5008,7 +5010,7 @@ }, { "cell_type": "markdown", - "id": "8a657c92", + "id": "55b95089", "metadata": { "editable": true }, @@ -5025,7 +5027,7 @@ }, { "cell_type": "markdown", - "id": "522f204b", + "id": "58edec27", "metadata": { "editable": true }, @@ -5037,7 +5039,7 @@ }, { "cell_type": "markdown", - "id": "6ab032e5", + "id": "91cf5408", "metadata": { "editable": true }, @@ -5049,7 +5051,7 @@ }, { "cell_type": "markdown", - "id": "423a9a47", + "id": "9628d939", "metadata": { "editable": true }, @@ -5059,7 +5061,7 @@ }, { "cell_type": "markdown", - "id": "817b323b", + "id": "d408e7f5", "metadata": { "editable": true }, @@ -5076,7 +5078,7 @@ }, { "cell_type": "markdown", - "id": "93f4ff8f", + "id": "1266b478", "metadata": { "editable": true }, @@ -5086,7 +5088,7 @@ }, { "cell_type": "markdown", - "id": "437c6704", + "id": "e22633d5", "metadata": { "editable": true }, @@ -5101,7 +5103,7 @@ }, { "cell_type": "markdown", - "id": "fe76cb03", + "id": "594fba0d", "metadata": { "editable": true }, @@ -5111,7 +5113,7 @@ }, { "cell_type": "markdown", - "id": "71d190a9", + "id": "d70023fd", "metadata": { "editable": true }, @@ -5125,7 +5127,7 @@ }, { "cell_type": "markdown", - "id": "21d676ff", + "id": "52dc44dd", "metadata": { "editable": true }, @@ -5137,7 +5139,7 @@ }, { "cell_type": "markdown", - "id": "95bf7f81", + "id": "a2668fc5", "metadata": { "editable": true }, @@ -5149,7 +5151,7 @@ }, { "cell_type": "markdown", - "id": "3e6fccbc", + "id": "abcb6d33", "metadata": { "editable": true }, @@ -5161,7 +5163,7 @@ }, { "cell_type": "markdown", - "id": "8c261002", + "id": "a224487f", "metadata": { "editable": true }, @@ -5171,7 +5173,7 @@ }, { "cell_type": "markdown", - "id": "f9aedabd", + "id": "7d2e0786", "metadata": { "editable": true }, @@ -5183,7 +5185,7 @@ }, { "cell_type": "markdown", - "id": "b9c3ddc5", + "id": "1175c0c5", "metadata": { "editable": true }, @@ -5193,7 +5195,7 @@ }, { "cell_type": "markdown", - "id": "ed30a2b1", + "id": "bbfe6895", "metadata": { "editable": true }, @@ -5210,7 +5212,7 @@ }, { "cell_type": "markdown", - "id": "dfb0eb4a", + "id": "9e1fd41d", "metadata": { "editable": true }, @@ -5220,7 +5222,7 @@ }, { "cell_type": "markdown", - "id": "39664ac4", + "id": "2ac7e61a", "metadata": { "editable": true }, @@ -5232,7 +5234,7 @@ }, { "cell_type": "markdown", - "id": "36858bcd", + "id": "779f099c", "metadata": { "editable": true }, @@ -5242,7 +5244,7 @@ }, { "cell_type": "markdown", - "id": "1938dd21", + "id": "fe58de11", "metadata": { "editable": true }, @@ -5254,7 +5256,7 @@ }, { "cell_type": "markdown", - "id": "d89b7fce", + "id": "6f9244dc", "metadata": { "editable": true }, @@ -5268,7 +5270,7 @@ }, { "cell_type": "markdown", - "id": "a30a69b4", + "id": "0dc4a97b", "metadata": { "editable": true }, @@ -5280,7 +5282,7 @@ }, { "cell_type": "markdown", - "id": "34639fb6", + "id": "c85e169b", "metadata": { "editable": true }, @@ -5302,7 +5304,7 @@ }, { "cell_type": "markdown", - "id": "20ad8e3f", + "id": "d9c670c9", "metadata": { "editable": true }, @@ -5314,7 +5316,7 @@ }, { "cell_type": "markdown", - "id": "d9478bfc", + "id": "19f3422e", "metadata": { "editable": true }, @@ -5329,7 +5331,7 @@ }, { "cell_type": "markdown", - "id": "04d7397f", + "id": "73ba196c", "metadata": { "editable": true }, @@ -5341,7 +5343,7 @@ }, { "cell_type": "markdown", - "id": "59f21f2c", + "id": "8e045ed0", "metadata": { "editable": true }, @@ -5353,7 +5355,7 @@ }, { "cell_type": "markdown", - "id": "a309e6d5", + "id": "73a040c2", "metadata": { "editable": true }, @@ -5363,7 +5365,7 @@ }, { "cell_type": "markdown", - "id": "2c4186ec", + "id": "ad598099", "metadata": { "editable": true }, @@ -5375,7 +5377,7 @@ }, { "cell_type": "markdown", - "id": "ccd854d0", + "id": "72c59cf8", "metadata": { "editable": true }, @@ -5385,7 +5387,7 @@ }, { "cell_type": "markdown", - "id": "74eaeda4", + "id": "7d3ea89e", "metadata": { "editable": true }, @@ -5397,7 +5399,7 @@ }, { "cell_type": "markdown", - "id": "053b8482", + "id": "7180582d", "metadata": { "editable": true }, @@ -5407,7 +5409,7 @@ }, { "cell_type": "markdown", - "id": "6f8a528a", + "id": "9993e038", "metadata": { "editable": true }, @@ -5419,7 +5421,7 @@ }, { "cell_type": "markdown", - "id": "112070df", + "id": "eb3035aa", "metadata": { "editable": true }, @@ -5436,7 +5438,7 @@ }, { "cell_type": "markdown", - "id": "33e268b0", + "id": "a561bcdb", "metadata": { "editable": true }, @@ -5449,7 +5451,7 @@ }, { "cell_type": "markdown", - "id": "0de7adcd", + "id": "268ae34a", "metadata": { "editable": true }, @@ -5461,7 +5463,7 @@ }, { "cell_type": "markdown", - "id": "fa30d846", + "id": "fc03d5dc", "metadata": { "editable": true }, @@ -5471,7 +5473,7 @@ }, { "cell_type": "markdown", - "id": "d577ef22", + "id": "1ea893df", "metadata": { "editable": true }, @@ -5484,7 +5486,7 @@ }, { "cell_type": "markdown", - "id": "ce39ce20", + "id": "3ef4a051", "metadata": { "editable": true }, @@ -5494,7 +5496,7 @@ }, { "cell_type": "markdown", - "id": "960bd21b", + "id": "e250ee2f", "metadata": { "editable": true }, @@ -5506,7 +5508,7 @@ }, { "cell_type": "markdown", - "id": "7736561e", + "id": "ac02490b", "metadata": { "editable": true }, @@ -5519,7 +5521,7 @@ }, { "cell_type": "markdown", - "id": "f1043146", + "id": "aeb823e8", "metadata": { "editable": true }, @@ -5532,7 +5534,7 @@ }, { "cell_type": "markdown", - "id": "56e791a2", + "id": "185ff85c", "metadata": { "editable": true }, @@ -5544,7 +5546,7 @@ }, { "cell_type": "markdown", - "id": "dbcb265a", + "id": "1419c4ca", "metadata": { "editable": true }, @@ -5556,7 +5558,7 @@ }, { "cell_type": "markdown", - "id": "9e1a00c1", + "id": "9773136b", "metadata": { "editable": true }, @@ -5566,7 +5568,7 @@ }, { "cell_type": "markdown", - "id": "6ca6c71d", + "id": "f8b694dc", "metadata": { "editable": true }, @@ -5579,7 +5581,7 @@ }, { "cell_type": "markdown", - "id": "797658d0", + "id": "88371d47", "metadata": { "editable": true }, @@ -5591,7 +5593,7 @@ }, { "cell_type": "markdown", - "id": "ed64a13e", + "id": "171b5be4", "metadata": { "editable": true }, @@ -5603,7 +5605,7 @@ }, { "cell_type": "markdown", - "id": "fc6a2aeb", + "id": "1e835b14", "metadata": { "editable": true }, @@ -5615,7 +5617,7 @@ }, { "cell_type": "markdown", - "id": "1c956ba4", + "id": "17531870", "metadata": { "editable": true }, @@ -5627,7 +5629,7 @@ }, { "cell_type": "markdown", - "id": "ea5516df", + "id": "0e3ef48e", "metadata": { "editable": true }, @@ -5641,7 +5643,7 @@ }, { "cell_type": "markdown", - "id": "b6d61e24", + "id": "66166180", "metadata": { "editable": true }, @@ -5653,7 +5655,7 @@ }, { "cell_type": "markdown", - "id": "84765a82", + "id": "a58eac00", "metadata": { "editable": true }, @@ -5663,7 +5665,7 @@ }, { "cell_type": "markdown", - "id": "973019d8", + "id": "27eed264", "metadata": { "editable": true }, @@ -5675,7 +5677,7 @@ }, { "cell_type": "markdown", - "id": "7f074350", + "id": "dde3eff1", "metadata": { "editable": true }, @@ -5687,7 +5689,7 @@ }, { "cell_type": "markdown", - "id": "0570ceae", + "id": "fc32ef71", "metadata": { "editable": true }, @@ -5699,7 +5701,7 @@ }, { "cell_type": "markdown", - "id": "5d16ea9d", + "id": "f71d1884", "metadata": { "editable": true }, @@ -5711,7 +5713,7 @@ }, { "cell_type": "markdown", - "id": "b739c33e", + "id": "a461218a", "metadata": { "editable": true }, @@ -5723,7 +5725,7 @@ }, { "cell_type": "markdown", - "id": "dc8bc23b", + "id": "417dd2f5", "metadata": { "editable": true }, @@ -5742,7 +5744,7 @@ }, { "cell_type": "markdown", - "id": "d89da6dc", + "id": "fb40cac4", "metadata": { "editable": true }, @@ -5754,7 +5756,7 @@ }, { "cell_type": "markdown", - "id": "3b871cb3", + "id": "0220204c", "metadata": { "editable": true }, @@ -5764,7 +5766,7 @@ }, { "cell_type": "markdown", - "id": "018e1163", + "id": "5f1bd6c9", "metadata": { "editable": true }, @@ -5776,7 +5778,7 @@ }, { "cell_type": "markdown", - "id": "24f364d8", + "id": "17072bfc", "metadata": { "editable": true }, @@ -5786,7 +5788,7 @@ }, { "cell_type": "markdown", - "id": "4f695ec4", + "id": "2c11fad3", "metadata": { "editable": true }, @@ -5798,7 +5800,7 @@ }, { "cell_type": "markdown", - "id": "a4599188", + "id": "c609b962", "metadata": { "editable": true }, @@ -5810,7 +5812,7 @@ }, { "cell_type": "markdown", - "id": "0edf0a0c", + "id": "9795acef", "metadata": { "editable": true }, @@ -5826,7 +5828,7 @@ }, { "cell_type": "markdown", - "id": "9afad20c", + "id": "b2219ef4", "metadata": { "editable": true }, @@ -5838,7 +5840,7 @@ }, { "cell_type": "markdown", - "id": "33df2d17", + "id": "db852bdc", "metadata": { "editable": true }, @@ -5850,7 +5852,7 @@ }, { "cell_type": "markdown", - "id": "972e10e7", + "id": "7af957bf", "metadata": { "editable": true }, @@ -5860,7 +5862,7 @@ }, { "cell_type": "markdown", - "id": "86f89bca", + "id": "3b9a6dcb", "metadata": { "editable": true }, @@ -5872,7 +5874,7 @@ }, { "cell_type": "markdown", - "id": "c286d017", + "id": "9fe99d76", "metadata": { "editable": true }, @@ -5882,7 +5884,7 @@ }, { "cell_type": "markdown", - "id": "4dcbe7e5", + "id": "95c258e2", "metadata": { "editable": true }, @@ -5894,7 +5896,7 @@ }, { "cell_type": "markdown", - "id": "43db48d4", + "id": "61e1baef", "metadata": { "editable": true }, @@ -5911,7 +5913,7 @@ }, { "cell_type": "markdown", - "id": "17d8c95a", + "id": "706bad69", "metadata": { "editable": true }, @@ -5923,7 +5925,7 @@ }, { "cell_type": "markdown", - "id": "3c9d6593", + "id": "ff63d81f", "metadata": { "editable": true }, @@ -5935,7 +5937,7 @@ }, { "cell_type": "markdown", - "id": "a1606a04", + "id": "66436c5d", "metadata": { "editable": true }, @@ -5945,7 +5947,7 @@ }, { "cell_type": "markdown", - "id": "d192512a", + "id": "4bb26a2e", "metadata": { "editable": true }, @@ -5957,7 +5959,7 @@ }, { "cell_type": "markdown", - "id": "a60675a1", + "id": "87a71dc0", "metadata": { "editable": true }, @@ -5967,7 +5969,7 @@ }, { "cell_type": "markdown", - "id": "942fc37f", + "id": "a9ef08dc", "metadata": { "editable": true }, @@ -5979,7 +5981,7 @@ }, { "cell_type": "markdown", - "id": "4f5e067f", + "id": "f8ebfe39", "metadata": { "editable": true }, @@ -5989,7 +5991,7 @@ }, { "cell_type": "markdown", - "id": "d330f743", + "id": "e3acea6b", "metadata": { "editable": true }, @@ -6001,7 +6003,7 @@ }, { "cell_type": "markdown", - "id": "55f9b635", + "id": "24f8649f", "metadata": { "editable": true }, @@ -6011,7 +6013,7 @@ }, { "cell_type": "markdown", - "id": "5a6d1b0b", + "id": "2af184ea", "metadata": { "editable": true }, @@ -6023,7 +6025,7 @@ }, { "cell_type": "markdown", - "id": "12fd13cb", + "id": "257f939f", "metadata": { "editable": true }, diff --git a/doc/pub/week35/html/._week35-bs055.html b/doc/pub/week35/html/._week35-bs055.html index d74381f9b..e0faca05b 100644 --- a/doc/pub/week35/html/._week35-bs055.html +++ b/doc/pub/week35/html/._week35-bs055.html @@ -395,7 +395,7 @@ $$ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{\Sigma}\boldsymbol{V}^T\left(\boldsymbol{V}\tilde{\boldsymbol{\Sigma}}^{2}(\boldsymbol{V}^T\right)^{-1}\boldsymbol{V}\boldsymbol{\Sigma}^T\boldsymbol{U}^T\boldsymbol{y}, $$ -

which gives us, using the orthogonality of the matrices \( \boldsymbol{U} \) and \( \boldsymbol{V} \),

+

which gives us, using the orthogonality of the matrix \( \boldsymbol{V} \),

$$ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, @@ -404,8 +404,10 @@ $$

It means that the ordinary least square model (with the optimal parameters) \( \boldsymbol{\tilde{y}} \), corresponds to an orthogonal transformation of the output (or target) vector \( \boldsymbol{y} \) by the -vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at \( p-1 \), -that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). +vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at +\( p-1 \), that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). We can thus not use the +orthogonality relation for the matrix \( \boldsymbol{U} \). This can already be +when we multiply the matrices \( \boldsymbol{\Sigma}^T\boldsymbol{U}^T \).

diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html index 73bc276b6..95808c6c0 100644 --- a/doc/pub/week35/html/week35-reveal.html +++ b/doc/pub/week35/html/week35-reveal.html @@ -2860,7 +2860,7 @@ $$ $$

 
-

which gives us, using the orthogonality of the matrices \( \boldsymbol{U} \) and \( \boldsymbol{V} \),

+

which gives us, using the orthogonality of the matrix \( \boldsymbol{V} \),

 
$$ @@ -2871,8 +2871,10 @@ $$

It means that the ordinary least square model (with the optimal parameters) \( \boldsymbol{\tilde{y}} \), corresponds to an orthogonal transformation of the output (or target) vector \( \boldsymbol{y} \) by the -vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at \( p-1 \), -that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). +vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at +\( p-1 \), that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). We can thus not use the +orthogonality relation for the matrix \( \boldsymbol{U} \). This can already be +when we multiply the matrices \( \boldsymbol{\Sigma}^T\boldsymbol{U}^T \).

diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html index 0f1fa52af..1fa0299c4 100644 --- a/doc/pub/week35/html/week35-solarized.html +++ b/doc/pub/week35/html/week35-solarized.html @@ -2750,7 +2750,7 @@ $$ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{\Sigma}\boldsymbol{V}^T\left(\boldsymbol{V}\tilde{\boldsymbol{\Sigma}}^{2}(\boldsymbol{V}^T\right)^{-1}\boldsymbol{V}\boldsymbol{\Sigma}^T\boldsymbol{U}^T\boldsymbol{y}, $$ -

which gives us, using the orthogonality of the matrices \( \boldsymbol{U} \) and \( \boldsymbol{V} \),

+

which gives us, using the orthogonality of the matrix \( \boldsymbol{V} \),

$$ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, @@ -2759,8 +2759,10 @@ $$

It means that the ordinary least square model (with the optimal parameters) \( \boldsymbol{\tilde{y}} \), corresponds to an orthogonal transformation of the output (or target) vector \( \boldsymbol{y} \) by the -vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at \( p-1 \), -that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). +vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at +\( p-1 \), that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). We can thus not use the +orthogonality relation for the matrix \( \boldsymbol{U} \). This can already be +when we multiply the matrices \( \boldsymbol{\Sigma}^T\boldsymbol{U}^T \).











diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html index f959be984..b72d52f1f 100644 --- a/doc/pub/week35/html/week35.html +++ b/doc/pub/week35/html/week35.html @@ -2827,7 +2827,7 @@ $$ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{\Sigma}\boldsymbol{V}^T\left(\boldsymbol{V}\tilde{\boldsymbol{\Sigma}}^{2}(\boldsymbol{V}^T\right)^{-1}\boldsymbol{V}\boldsymbol{\Sigma}^T\boldsymbol{U}^T\boldsymbol{y}, $$ -

which gives us, using the orthogonality of the matrices \( \boldsymbol{U} \) and \( \boldsymbol{V} \),

+

which gives us, using the orthogonality of the matrix \( \boldsymbol{V} \),

$$ \tilde{y}_{\mathrm{OLS}}=\boldsymbol{U}\boldsymbol{U}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_i\boldsymbol{u}^T_i\boldsymbol{y}, @@ -2836,8 +2836,10 @@ $$

It means that the ordinary least square model (with the optimal parameters) \( \boldsymbol{\tilde{y}} \), corresponds to an orthogonal transformation of the output (or target) vector \( \boldsymbol{y} \) by the -vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at \( p-1 \), -that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). +vectors of the matrix \( \boldsymbol{U} \). Note that the summation ends at +\( p-1 \), that is \( \boldsymbol{\tilde{y}}\ne \boldsymbol{y} \). We can thus not use the +orthogonality relation for the matrix \( \boldsymbol{U} \). This can already be +when we multiply the matrices \( \boldsymbol{\Sigma}^T\boldsymbol{U}^T \).











diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz index 75552ed8f53cb5dc116f18a7f25bb4b9f6777d1d..373467a9323db1e1634e9da098e4dae623a0e63b 100644 GIT binary patch literal 191 zcmV;w06_mAiwFP(7Vu;M1MSbv3c@f92k@Qu6nTP?x^_DY?%+WX@dY~8xjNU*wnO*! z?gR9sco`z}cli?%LUPE~n_U*Uy9*YBhzX@IW}2`maW&TyLKqNAQ;H-;WH1CuHia9|^+N50zx^N+gc!88oZLCddlA^u6 zeSoeMH${Yen}0%vVdk(|t#_Nq-CeL4LP*LOjG3i;N)pfS38fq;V;LK(m;#{*kK+Ky zax1-b)(JDL(o|006#QRmlJV diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb index 6c23bf707..acce5416d 100644 --- a/doc/pub/week35/ipynb/week35.ipynb +++ b/doc/pub/week35/ipynb/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "be53b5a0", + "id": "0babeebd", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "ea9aa8ba", + "id": "97c00fa1", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "1682c283", + "id": "e4a3ef03", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "06e8536b", + "id": "cce1437b", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "78f54d26", + "id": "52737d8a", "metadata": { "editable": true }, @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "94c25631", + "id": "671d6e88", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "a42b88dc", + "id": "ff12276e", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "3171d71c", + "id": "047c45e4", "metadata": { "editable": true }, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "e70f9acc", + "id": "429101eb", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "2379d06d", + "id": "c5e3146c", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "643717b0", + "id": "7dbe051b", "metadata": { "editable": true }, @@ -182,7 +182,7 @@ }, { "cell_type": "markdown", - "id": "378c280f", + "id": "4fc0ccc9", "metadata": { "editable": true }, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "e52a2672", + "id": "b74ac188", "metadata": { "editable": true }, @@ -207,7 +207,7 @@ }, { "cell_type": "markdown", - "id": "cce68c3d", + "id": "3dd89363", "metadata": { "editable": true }, @@ -219,7 +219,7 @@ }, { "cell_type": "markdown", - "id": "f8c11724", + "id": "f9c8ee6d", "metadata": { "editable": true }, @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "a139ab45", + "id": "f1a7d81e", "metadata": { "editable": true }, @@ -241,7 +241,7 @@ }, { "cell_type": "markdown", - "id": "089dec59", + "id": "5e470402", "metadata": { "editable": true }, @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "570e9155", + "id": "de2d1c2e", "metadata": { "editable": true }, @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "2c6cbd01", + "id": "9f2c6a27", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "daaf53c3", + "id": "f2a53c69", "metadata": { "editable": true }, @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "186a0c23", + "id": "0e6be165", "metadata": { "editable": true }, @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "e83c76fe", + "id": "7e1aa69e", "metadata": { "editable": true }, @@ -311,7 +311,7 @@ }, { "cell_type": "markdown", - "id": "48869faa", + "id": "b6808670", "metadata": { "editable": true }, @@ -323,7 +323,7 @@ }, { "cell_type": "markdown", - "id": "09ef84bc", + "id": "1681f8b5", "metadata": { "editable": true }, @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "a3573593", + "id": "079581c8", "metadata": { "editable": true }, @@ -355,7 +355,7 @@ }, { "cell_type": "markdown", - "id": "0cf80555", + "id": "d2d8bbbe", "metadata": { "editable": true }, @@ -365,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "9a5943d2", + "id": "b6f6fa32", "metadata": { "editable": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "markdown", - "id": "614492f6", + "id": "c40e93cb", "metadata": { "editable": true }, @@ -387,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "e151cfa1", + "id": "817e6b7e", "metadata": { "editable": true }, @@ -399,7 +399,7 @@ }, { "cell_type": "markdown", - "id": "1e2877d6", + "id": "9e81cba3", "metadata": { "editable": true }, @@ -409,7 +409,7 @@ }, { "cell_type": "markdown", - "id": "62ea2b3f", + "id": "f444a6f6", "metadata": { "editable": true }, @@ -421,7 +421,7 @@ }, { "cell_type": "markdown", - "id": "8b2e0f0e", + "id": "c0a4d2f3", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "08983f5f", + "id": "b4fb52ac", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "0220251b", + "id": "625eedb8", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "d80df328", + "id": "e4860d6a", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "838e6fcc", + "id": "f3dbaea0", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "49bab4db", + "id": "12a58017", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "a9f8042e", + "id": "9e01c27e", "metadata": { "editable": true }, @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "41a2f792", + "id": "1a674207", "metadata": { "editable": true }, @@ -535,7 +535,7 @@ }, { "cell_type": "markdown", - "id": "2cd68700", + "id": "32d78057", "metadata": { "editable": true }, @@ -547,7 +547,7 @@ }, { "cell_type": "markdown", - "id": "45e00b5c", + "id": "b05fa6a7", "metadata": { "editable": true }, @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "0d8f4073", + "id": "5d01c3c2", "metadata": { "editable": true }, @@ -575,7 +575,7 @@ }, { "cell_type": "markdown", - "id": "32b84460", + "id": "f6abac54", "metadata": { "editable": true }, @@ -593,7 +593,7 @@ }, { "cell_type": "markdown", - "id": "b1603479", + "id": "83090779", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ }, { "cell_type": "markdown", - "id": "6b964217", + "id": "af17b7d4", "metadata": { "editable": true }, @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "ef7da021", + "id": "c67fb280", "metadata": { "editable": true }, @@ -628,7 +628,7 @@ }, { "cell_type": "markdown", - "id": "f36afc00", + "id": "e3289be1", "metadata": { "editable": true }, @@ -640,7 +640,7 @@ }, { "cell_type": "markdown", - "id": "c86b67b1", + "id": "edc4fe47", "metadata": { "editable": true }, @@ -650,7 +650,7 @@ }, { "cell_type": "markdown", - "id": "9f824fc3", + "id": "cae8f055", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "13294ac7", + "id": "cac6ff9f", "metadata": { "editable": true }, @@ -676,7 +676,7 @@ }, { "cell_type": "markdown", - "id": "d7e5700e", + "id": "50d4f5da", "metadata": { "editable": true }, @@ -688,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "1f1b9622", + "id": "150da64e", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ }, { "cell_type": "markdown", - "id": "d22ff920", + "id": "95b20a47", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ }, { "cell_type": "markdown", - "id": "308eae89", + "id": "51b0e4e3", "metadata": { "editable": true }, @@ -722,7 +722,7 @@ }, { "cell_type": "markdown", - "id": "69df69e0", + "id": "d6e1d862", "metadata": { "editable": true }, @@ -734,7 +734,7 @@ }, { "cell_type": "markdown", - "id": "989c0888", + "id": "bad539c1", "metadata": { "editable": true }, @@ -746,7 +746,7 @@ }, { "cell_type": "markdown", - "id": "796e59d4", + "id": "4a4f0d75", "metadata": { "editable": true }, @@ -758,7 +758,7 @@ }, { "cell_type": "markdown", - "id": "0ecc2fbb", + "id": "a71b3c23", "metadata": { "editable": true }, @@ -772,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "7f541061", + "id": "88befc96", "metadata": { "editable": true }, @@ -784,7 +784,7 @@ }, { "cell_type": "markdown", - "id": "150fcbf6", + "id": "d3f17e84", "metadata": { "editable": true }, @@ -796,7 +796,7 @@ }, { "cell_type": "markdown", - "id": "27b04c69", + "id": "daccd41d", "metadata": { "editable": true }, @@ -808,7 +808,7 @@ }, { "cell_type": "markdown", - "id": "9d121c2b", + "id": "00b3204d", "metadata": { "editable": true }, @@ -818,7 +818,7 @@ }, { "cell_type": "markdown", - "id": "de64d430", + "id": "8be5135b", "metadata": { "editable": true }, @@ -830,7 +830,7 @@ }, { "cell_type": "markdown", - "id": "60392be8", + "id": "0f573683", "metadata": { "editable": true }, @@ -840,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "3eeb0762", + "id": "bc6a156c", "metadata": { "editable": true }, @@ -852,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "5acbe964", + "id": "83c196bf", "metadata": { "editable": true }, @@ -862,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "a5e67241", + "id": "a350d475", "metadata": { "editable": true }, @@ -874,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "d80219d2", + "id": "4b7eabaf", "metadata": { "editable": true }, @@ -886,7 +886,7 @@ }, { "cell_type": "markdown", - "id": "7ec6b553", + "id": "90736966", "metadata": { "editable": true }, @@ -898,7 +898,7 @@ }, { "cell_type": "markdown", - "id": "bcd2cdff", + "id": "bb9a16ec", "metadata": { "editable": true }, @@ -913,7 +913,7 @@ }, { "cell_type": "markdown", - "id": "7160434b", + "id": "52518d34", "metadata": { "editable": true }, @@ -925,7 +925,7 @@ }, { "cell_type": "markdown", - "id": "ae1d7aa6", + "id": "139726b2", "metadata": { "editable": true }, @@ -935,7 +935,7 @@ }, { "cell_type": "markdown", - "id": "5ced56fe", + "id": "5684873d", "metadata": { "editable": true }, @@ -947,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "78444018", + "id": "acfde1eb", "metadata": { "editable": true }, @@ -957,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "4207abea", + "id": "db5a6f27", "metadata": { "editable": true }, @@ -969,7 +969,7 @@ }, { "cell_type": "markdown", - "id": "5ca388cb", + "id": "2b343d82", "metadata": { "editable": true }, @@ -979,7 +979,7 @@ }, { "cell_type": "markdown", - "id": "76bcca31", + "id": "6c2f023d", "metadata": { "editable": true }, @@ -991,7 +991,7 @@ }, { "cell_type": "markdown", - "id": "72a7c5d6", + "id": "7c575a3d", "metadata": { "editable": true }, @@ -1003,7 +1003,7 @@ }, { "cell_type": "markdown", - "id": "8ddd5a6c", + "id": "9cdd12ae", "metadata": { "editable": true }, @@ -1015,7 +1015,7 @@ }, { "cell_type": "markdown", - "id": "4ce22956", + "id": "2c747ecf", "metadata": { "editable": true }, @@ -1025,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "7a7a8220", + "id": "a1f1cac6", "metadata": { "editable": true }, @@ -1037,7 +1037,7 @@ }, { "cell_type": "markdown", - "id": "660f5feb", + "id": "38f0c38d", "metadata": { "editable": true }, @@ -1050,7 +1050,7 @@ }, { "cell_type": "markdown", - "id": "35130b19", + "id": "6e6e7a18", "metadata": { "editable": true }, @@ -1062,7 +1062,7 @@ }, { "cell_type": "markdown", - "id": "43929a90", + "id": "d0a300bf", "metadata": { "editable": true }, @@ -1072,7 +1072,7 @@ }, { "cell_type": "markdown", - "id": "b9484098", + "id": "8606b2f5", "metadata": { "editable": true }, @@ -1084,7 +1084,7 @@ }, { "cell_type": "markdown", - "id": "a8366c58", + "id": "8e808f42", "metadata": { "editable": true }, @@ -1094,7 +1094,7 @@ }, { "cell_type": "markdown", - "id": "22ff6985", + "id": "e60692f9", "metadata": { "editable": true }, @@ -1106,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "8129f022", + "id": "191a1403", "metadata": { "editable": true }, @@ -1116,7 +1116,7 @@ }, { "cell_type": "markdown", - "id": "d8ff6bb2", + "id": "85a48dc2", "metadata": { "editable": true }, @@ -1128,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "c8f81b3f", + "id": "322515bc", "metadata": { "editable": true }, @@ -1138,7 +1138,7 @@ }, { "cell_type": "markdown", - "id": "69af2c51", + "id": "07e78aa4", "metadata": { "editable": true }, @@ -1150,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "c9e254ef", + "id": "55e68f23", "metadata": { "editable": true }, @@ -1160,7 +1160,7 @@ }, { "cell_type": "markdown", - "id": "b1377365", + "id": "c4198d70", "metadata": { "editable": true }, @@ -1172,7 +1172,7 @@ }, { "cell_type": "markdown", - "id": "52258121", + "id": "b7d6fda2", "metadata": { "editable": true }, @@ -1184,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "7785c30e", + "id": "f76130c7", "metadata": { "editable": true }, @@ -1196,7 +1196,7 @@ }, { "cell_type": "markdown", - "id": "ba371063", + "id": "1eda8311", "metadata": { "editable": true }, @@ -1208,7 +1208,7 @@ }, { "cell_type": "markdown", - "id": "905ad22c", + "id": "cbcfc4ac", "metadata": { "editable": true }, @@ -1220,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "0f770989", + "id": "15f400be", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "c4c4d825", + "id": "1ea079a0", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "bca9faf0", + "id": "c55b7c42", "metadata": { "editable": true }, @@ -1258,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "678d6d8d", + "id": "74f1cbc2", "metadata": { "editable": true }, @@ -1270,7 +1270,7 @@ }, { "cell_type": "markdown", - "id": "9f18b73a", + "id": "281c8820", "metadata": { "editable": true }, @@ -1288,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "a738b78b", + "id": "cf35f2b0", "metadata": { "editable": true }, @@ -1300,7 +1300,7 @@ }, { "cell_type": "markdown", - "id": "c4325fac", + "id": "8db5ad71", "metadata": { "editable": true }, @@ -1312,7 +1312,7 @@ }, { "cell_type": "markdown", - "id": "d32fe699", + "id": "f39e2160", "metadata": { "editable": true }, @@ -1322,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "bdabaf26", + "id": "3e4e4e8d", "metadata": { "editable": true }, @@ -1334,7 +1334,7 @@ }, { "cell_type": "markdown", - "id": "1a13e693", + "id": "0323a489", "metadata": { "editable": true }, @@ -1344,7 +1344,7 @@ }, { "cell_type": "markdown", - "id": "b26dc6ec", + "id": "10339395", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "f42cbab8", + "id": "0b22fc31", "metadata": { "editable": true }, @@ -1366,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "a73bb0ea", + "id": "494b1a28", "metadata": { "editable": true }, @@ -1380,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "c1c8da9d", + "id": "d20c96cf", "metadata": { "editable": true }, @@ -1392,7 +1392,7 @@ }, { "cell_type": "markdown", - "id": "2ca0aef5", + "id": "7f81444b", "metadata": { "editable": true }, @@ -1403,7 +1403,7 @@ }, { "cell_type": "markdown", - "id": "d18683ee", + "id": "f81d6764", "metadata": { "editable": true }, @@ -1416,7 +1416,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "a4ea6710", + "id": "83225daf", "metadata": { "collapsed": false, "editable": true @@ -1443,7 +1443,7 @@ }, { "cell_type": "markdown", - "id": "6fb0024c", + "id": "f432b3ff", "metadata": { "editable": true }, @@ -1454,7 +1454,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "72a80735", + "id": "04b2ece5", "metadata": { "collapsed": false, "editable": true @@ -1467,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "3768a40c", + "id": "8467ac97", "metadata": { "editable": true }, @@ -1481,7 +1481,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "d5af18c7", + "id": "fb24217a", "metadata": { "collapsed": false, "editable": true @@ -1494,7 +1494,7 @@ }, { "cell_type": "markdown", - "id": "92c5153f", + "id": "95050d99", "metadata": { "editable": true }, @@ -1505,7 +1505,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "09511b52", + "id": "7daecb54", "metadata": { "collapsed": false, "editable": true @@ -1517,7 +1517,7 @@ }, { "cell_type": "markdown", - "id": "d92d6b51", + "id": "616c641c", "metadata": { "editable": true }, @@ -1528,7 +1528,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "4e16843d", + "id": "ad94a295", "metadata": { "collapsed": false, "editable": true @@ -1544,7 +1544,7 @@ }, { "cell_type": "markdown", - "id": "acef1cf8", + "id": "afb8bdc0", "metadata": { "editable": true }, @@ -1555,7 +1555,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "11d5e613", + "id": "d9382131", "metadata": { "collapsed": false, "editable": true @@ -1569,7 +1569,7 @@ }, { "cell_type": "markdown", - "id": "216b1096", + "id": "81a3e982", "metadata": { "editable": true }, @@ -1590,7 +1590,7 @@ }, { "cell_type": "markdown", - "id": "8fa67728", + "id": "f58f6c21", "metadata": { "editable": true }, @@ -1601,7 +1601,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "28c9c5f2", + "id": "bb9a3b77", "metadata": { "collapsed": false, "editable": true @@ -1654,7 +1654,7 @@ }, { "cell_type": "markdown", - "id": "97af1cca", + "id": "c977c2ac", "metadata": { "editable": true }, @@ -1665,7 +1665,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e4ca68c4", + "id": "2676b30f", "metadata": { "collapsed": false, "editable": true @@ -1690,7 +1690,7 @@ }, { "cell_type": "markdown", - "id": "16a219af", + "id": "53eb00be", "metadata": { "editable": true }, @@ -1702,7 +1702,7 @@ }, { "cell_type": "markdown", - "id": "d99baccc", + "id": "893ea33c", "metadata": { "editable": true }, @@ -1731,7 +1731,7 @@ }, { "cell_type": "markdown", - "id": "382627de", + "id": "fcfef74e", "metadata": { "editable": true }, @@ -1756,7 +1756,7 @@ }, { "cell_type": "markdown", - "id": "dbe9c5e7", + "id": "40a6072e", "metadata": { "editable": true }, @@ -1776,7 +1776,7 @@ }, { "cell_type": "markdown", - "id": "76afa0fa", + "id": "6464d00e", "metadata": { "editable": true }, @@ -1803,7 +1803,7 @@ }, { "cell_type": "markdown", - "id": "7a3ee226", + "id": "f69bee17", "metadata": { "editable": true }, @@ -1816,7 +1816,7 @@ }, { "cell_type": "markdown", - "id": "a3b3ad3e", + "id": "ae4d66ae", "metadata": { "editable": true }, @@ -1828,7 +1828,7 @@ }, { "cell_type": "markdown", - "id": "5c0f36af", + "id": "9a60e683", "metadata": { "editable": true }, @@ -1839,7 +1839,7 @@ }, { "cell_type": "markdown", - "id": "3de5eca9", + "id": "45315f93", "metadata": { "editable": true }, @@ -1855,7 +1855,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "e836c1eb", + "id": "7fe845e8", "metadata": { "collapsed": false, "editable": true @@ -1889,7 +1889,7 @@ }, { "cell_type": "markdown", - "id": "03c9b6b3", + "id": "049d9edb", "metadata": { "editable": true }, @@ -1899,7 +1899,7 @@ }, { "cell_type": "markdown", - "id": "ecabe53c", + "id": "e098f1e2", "metadata": { "editable": true }, @@ -1914,7 +1914,7 @@ }, { "cell_type": "markdown", - "id": "daa74ff5", + "id": "afe0f097", "metadata": { "editable": true }, @@ -1926,7 +1926,7 @@ }, { "cell_type": "markdown", - "id": "4bf5d4cc", + "id": "8c4c32c9", "metadata": { "editable": true }, @@ -1936,7 +1936,7 @@ }, { "cell_type": "markdown", - "id": "bff437d3", + "id": "3e3af961", "metadata": { "editable": true }, @@ -1952,7 +1952,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "e4815d9d", + "id": "364363ed", "metadata": { "collapsed": false, "editable": true @@ -1969,7 +1969,7 @@ }, { "cell_type": "markdown", - "id": "ac106c70", + "id": "f85005a3", "metadata": { "editable": true }, @@ -1982,7 +1982,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "b3b4d1c5", + "id": "47c9afad", "metadata": { "collapsed": false, "editable": true @@ -2029,7 +2029,7 @@ }, { "cell_type": "markdown", - "id": "588605a3", + "id": "2d522b5b", "metadata": { "editable": true }, @@ -2040,7 +2040,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "eac5c19b", + "id": "0aed60c8", "metadata": { "collapsed": false, "editable": true @@ -2143,7 +2143,7 @@ }, { "cell_type": "markdown", - "id": "e09cfcf0", + "id": "fa165453", "metadata": { "editable": true }, @@ -2171,7 +2171,7 @@ }, { "cell_type": "markdown", - "id": "2bbf93a9", + "id": "734df471", "metadata": { "editable": true }, @@ -2206,7 +2206,7 @@ }, { "cell_type": "markdown", - "id": "51f3121a", + "id": "b6bde2ec", "metadata": { "editable": true }, @@ -2221,7 +2221,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "e5bfd742", + "id": "0e49b148", "metadata": { "collapsed": false, "editable": true @@ -2246,7 +2246,7 @@ }, { "cell_type": "markdown", - "id": "61e91fe1", + "id": "a4397707", "metadata": { "editable": true }, @@ -2262,7 +2262,7 @@ }, { "cell_type": "markdown", - "id": "02fa2126", + "id": "0c113b92", "metadata": { "editable": true }, @@ -2274,7 +2274,7 @@ }, { "cell_type": "markdown", - "id": "c5ea5b96", + "id": "18d476bc", "metadata": { "editable": true }, @@ -2289,7 +2289,7 @@ }, { "cell_type": "markdown", - "id": "6dbfbe9a", + "id": "3cf3b752", "metadata": { "editable": true }, @@ -2301,7 +2301,7 @@ }, { "cell_type": "markdown", - "id": "e3318d8a", + "id": "ed2af561", "metadata": { "editable": true }, @@ -2311,7 +2311,7 @@ }, { "cell_type": "markdown", - "id": "7a7f2bb0", + "id": "b37a9e65", "metadata": { "editable": true }, @@ -2323,7 +2323,7 @@ }, { "cell_type": "markdown", - "id": "7b9072eb", + "id": "f9775ea0", "metadata": { "editable": true }, @@ -2333,7 +2333,7 @@ }, { "cell_type": "markdown", - "id": "fb9fc6af", + "id": "cecd5fc2", "metadata": { "editable": true }, @@ -2345,7 +2345,7 @@ }, { "cell_type": "markdown", - "id": "5b1d9bae", + "id": "52fcc61e", "metadata": { "editable": true }, @@ -2358,7 +2358,7 @@ }, { "cell_type": "markdown", - "id": "aa9d7398", + "id": "000d54d2", "metadata": { "editable": true }, @@ -2370,7 +2370,7 @@ }, { "cell_type": "markdown", - "id": "1ba94b15", + "id": "0fed9be4", "metadata": { "editable": true }, @@ -2380,7 +2380,7 @@ }, { "cell_type": "markdown", - "id": "2c91f4b9", + "id": "0c61aa7b", "metadata": { "editable": true }, @@ -2392,7 +2392,7 @@ }, { "cell_type": "markdown", - "id": "f227a642", + "id": "b390be2f", "metadata": { "editable": true }, @@ -2402,7 +2402,7 @@ }, { "cell_type": "markdown", - "id": "744d6fcc", + "id": "aab8c64c", "metadata": { "editable": true }, @@ -2414,7 +2414,7 @@ }, { "cell_type": "markdown", - "id": "c07272e6", + "id": "269cff24", "metadata": { "editable": true }, @@ -2424,7 +2424,7 @@ }, { "cell_type": "markdown", - "id": "28b1cf18", + "id": "66e6ecf2", "metadata": { "editable": true }, @@ -2436,7 +2436,7 @@ }, { "cell_type": "markdown", - "id": "d9e5287b", + "id": "33bddc5a", "metadata": { "editable": true }, @@ -2446,7 +2446,7 @@ }, { "cell_type": "markdown", - "id": "d2b5ee59", + "id": "1e81b738", "metadata": { "editable": true }, @@ -2458,7 +2458,7 @@ }, { "cell_type": "markdown", - "id": "ae591a22", + "id": "b182f371", "metadata": { "editable": true }, @@ -2468,7 +2468,7 @@ }, { "cell_type": "markdown", - "id": "bbb4efc5", + "id": "97caf464", "metadata": { "editable": true }, @@ -2480,7 +2480,7 @@ }, { "cell_type": "markdown", - "id": "76c37a89", + "id": "d44cf34a", "metadata": { "editable": true }, @@ -2490,7 +2490,7 @@ }, { "cell_type": "markdown", - "id": "ac78f014", + "id": "98301664", "metadata": { "editable": true }, @@ -2502,7 +2502,7 @@ }, { "cell_type": "markdown", - "id": "01c57df2", + "id": "c10a9495", "metadata": { "editable": true }, @@ -2514,7 +2514,7 @@ }, { "cell_type": "markdown", - "id": "5c77be60", + "id": "e55bc871", "metadata": { "editable": true }, @@ -2526,7 +2526,7 @@ }, { "cell_type": "markdown", - "id": "7448d02c", + "id": "6033356d", "metadata": { "editable": true }, @@ -2539,7 +2539,7 @@ }, { "cell_type": "markdown", - "id": "6b16f287", + "id": "d064973a", "metadata": { "editable": true }, @@ -2551,7 +2551,7 @@ }, { "cell_type": "markdown", - "id": "d6f810af", + "id": "21607d44", "metadata": { "editable": true }, @@ -2561,7 +2561,7 @@ }, { "cell_type": "markdown", - "id": "6b506524", + "id": "55a9f200", "metadata": { "editable": true }, @@ -2575,7 +2575,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "d39358da", + "id": "35f99de0", "metadata": { "collapsed": false, "editable": true @@ -2672,7 +2672,7 @@ }, { "cell_type": "markdown", - "id": "1c2292c1", + "id": "5eb9aa4d", "metadata": { "editable": true }, @@ -2693,7 +2693,7 @@ }, { "cell_type": "markdown", - "id": "1fa67201", + "id": "5cbdc215", "metadata": { "editable": true }, @@ -2705,7 +2705,7 @@ }, { "cell_type": "markdown", - "id": "137f3aa8", + "id": "a148d669", "metadata": { "editable": true }, @@ -2715,7 +2715,7 @@ }, { "cell_type": "markdown", - "id": "b5fd0444", + "id": "a04efc28", "metadata": { "editable": true }, @@ -2727,7 +2727,7 @@ }, { "cell_type": "markdown", - "id": "04e6de19", + "id": "d004f9af", "metadata": { "editable": true }, @@ -2737,7 +2737,7 @@ }, { "cell_type": "markdown", - "id": "2cd0f6df", + "id": "33d88186", "metadata": { "editable": true }, @@ -2749,7 +2749,7 @@ }, { "cell_type": "markdown", - "id": "f833976e", + "id": "79a0fcd6", "metadata": { "editable": true }, @@ -2765,7 +2765,7 @@ }, { "cell_type": "markdown", - "id": "0526f8a3", + "id": "5276fcae", "metadata": { "editable": true }, @@ -2809,7 +2809,7 @@ }, { "cell_type": "markdown", - "id": "132ef74f", + "id": "6071dd24", "metadata": { "editable": true }, @@ -2821,7 +2821,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "25ecbae5", + "id": "c878cffa", "metadata": { "collapsed": false, "editable": true @@ -2837,7 +2837,7 @@ }, { "cell_type": "markdown", - "id": "dd07b613", + "id": "5ae29df1", "metadata": { "editable": true }, @@ -2848,7 +2848,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "217c66c6", + "id": "0c27343f", "metadata": { "collapsed": false, "editable": true @@ -2866,7 +2866,7 @@ }, { "cell_type": "markdown", - "id": "a74cd412", + "id": "bd362de3", "metadata": { "editable": true }, @@ -2877,7 +2877,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "7252d534", + "id": "1042f631", "metadata": { "collapsed": false, "editable": true @@ -2891,7 +2891,7 @@ }, { "cell_type": "markdown", - "id": "9bc51de3", + "id": "82185c81", "metadata": { "editable": true }, @@ -2902,7 +2902,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "5209e335", + "id": "dd4764d2", "metadata": { "collapsed": false, "editable": true @@ -2915,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "2f7e2bce", + "id": "2b18d348", "metadata": { "editable": true }, @@ -2926,7 +2926,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "f40dddbb", + "id": "ad218084", "metadata": { "collapsed": false, "editable": true @@ -2943,7 +2943,7 @@ }, { "cell_type": "markdown", - "id": "4c784974", + "id": "37596ce4", "metadata": { "editable": true }, @@ -2954,7 +2954,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "f41e4472", + "id": "c64afdcd", "metadata": { "collapsed": false, "editable": true @@ -2970,7 +2970,7 @@ }, { "cell_type": "markdown", - "id": "ddbe7e53", + "id": "f74d7c0e", "metadata": { "editable": true }, @@ -2981,7 +2981,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "fb697c78", + "id": "05f432c4", "metadata": { "collapsed": false, "editable": true @@ -3005,7 +3005,7 @@ }, { "cell_type": "markdown", - "id": "e9883aae", + "id": "7eccf967", "metadata": { "editable": true }, @@ -3016,7 +3016,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "3b54b6a2", + "id": "e4e2ffd8", "metadata": { "collapsed": false, "editable": true @@ -3029,7 +3029,7 @@ }, { "cell_type": "markdown", - "id": "787c8475", + "id": "df5c1bb8", "metadata": { "editable": true }, @@ -3040,7 +3040,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "c88e54a9", + "id": "f5103c3e", "metadata": { "collapsed": false, "editable": true @@ -3060,7 +3060,7 @@ }, { "cell_type": "markdown", - "id": "6facc9e0", + "id": "b03da257", "metadata": { "editable": true }, @@ -3071,7 +3071,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "0fe2de24", + "id": "862a3613", "metadata": { "collapsed": false, "editable": true @@ -3114,7 +3114,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "33e2f09a", + "id": "28414bfe", "metadata": { "collapsed": false, "editable": true @@ -3129,7 +3129,7 @@ }, { "cell_type": "markdown", - "id": "7af3d057", + "id": "423c5193", "metadata": { "editable": true }, @@ -3139,7 +3139,7 @@ }, { "cell_type": "markdown", - "id": "c5cc4ff1", + "id": "40134015", "metadata": { "editable": true }, @@ -3153,7 +3153,7 @@ }, { "cell_type": "markdown", - "id": "e187c407", + "id": "2ea33726", "metadata": { "editable": true }, @@ -3165,7 +3165,7 @@ }, { "cell_type": "markdown", - "id": "80c1e1d2", + "id": "b20e3c69", "metadata": { "editable": true }, @@ -3177,7 +3177,7 @@ }, { "cell_type": "markdown", - "id": "d08c63a8", + "id": "86928159", "metadata": { "editable": true }, @@ -3189,7 +3189,7 @@ }, { "cell_type": "markdown", - "id": "e4199d04", + "id": "7f876bba", "metadata": { "editable": true }, @@ -3199,7 +3199,7 @@ }, { "cell_type": "markdown", - "id": "1cd0a12a", + "id": "1a0f675e", "metadata": { "editable": true }, @@ -3211,7 +3211,7 @@ }, { "cell_type": "markdown", - "id": "c4de93ba", + "id": "5b09cb8c", "metadata": { "editable": true }, @@ -3221,7 +3221,7 @@ }, { "cell_type": "markdown", - "id": "27136288", + "id": "2d734fd4", "metadata": { "editable": true }, @@ -3233,7 +3233,7 @@ }, { "cell_type": "markdown", - "id": "a088b960", + "id": "7bd3f98e", "metadata": { "editable": true }, @@ -3244,7 +3244,7 @@ }, { "cell_type": "markdown", - "id": "1a02ddbb", + "id": "37d9ae55", "metadata": { "editable": true }, @@ -3256,7 +3256,7 @@ }, { "cell_type": "markdown", - "id": "ed18d091", + "id": "457c49df", "metadata": { "editable": true }, @@ -3268,7 +3268,7 @@ }, { "cell_type": "markdown", - "id": "3d5b79af", + "id": "72cb8e53", "metadata": { "editable": true }, @@ -3278,7 +3278,7 @@ }, { "cell_type": "markdown", - "id": "dda4570b", + "id": "d5a2f7bf", "metadata": { "editable": true }, @@ -3290,7 +3290,7 @@ }, { "cell_type": "markdown", - "id": "11d8d3e3", + "id": "6c1d3ae9", "metadata": { "editable": true }, @@ -3302,7 +3302,7 @@ }, { "cell_type": "markdown", - "id": "46901f0f", + "id": "fbd16f90", "metadata": { "editable": true }, @@ -3312,7 +3312,7 @@ }, { "cell_type": "markdown", - "id": "9189fcdb", + "id": "b112d398", "metadata": { "editable": true }, @@ -3324,7 +3324,7 @@ }, { "cell_type": "markdown", - "id": "90000eee", + "id": "02cd55a7", "metadata": { "editable": true }, @@ -3334,7 +3334,7 @@ }, { "cell_type": "markdown", - "id": "e82d1f9c", + "id": "0f91ca1c", "metadata": { "editable": true }, @@ -3346,7 +3346,7 @@ }, { "cell_type": "markdown", - "id": "072720c0", + "id": "4c9a1014", "metadata": { "editable": true }, @@ -3356,7 +3356,7 @@ }, { "cell_type": "markdown", - "id": "dd15f44d", + "id": "bbf65400", "metadata": { "editable": true }, @@ -3396,7 +3396,7 @@ }, { "cell_type": "markdown", - "id": "6fb5a31f", + "id": "e86aedda", "metadata": { "editable": true }, @@ -3413,7 +3413,7 @@ }, { "cell_type": "markdown", - "id": "179c61b1", + "id": "5607899f", "metadata": { "editable": true }, @@ -3436,7 +3436,7 @@ }, { "cell_type": "markdown", - "id": "5c43a81e", + "id": "ee828c1a", "metadata": { "editable": true }, @@ -3453,7 +3453,7 @@ }, { "cell_type": "markdown", - "id": "29134082", + "id": "8cf44f4b", "metadata": { "editable": true }, @@ -3472,7 +3472,7 @@ }, { "cell_type": "markdown", - "id": "8ef42f32", + "id": "41c01ec3", "metadata": { "editable": true }, @@ -3483,7 +3483,7 @@ }, { "cell_type": "markdown", - "id": "076c58c7", + "id": "2abae461", "metadata": { "editable": true }, @@ -3495,7 +3495,7 @@ }, { "cell_type": "markdown", - "id": "04db202f", + "id": "9b9091ee", "metadata": { "editable": true }, @@ -3513,7 +3513,7 @@ }, { "cell_type": "markdown", - "id": "b60cb6b5", + "id": "e9c2ef56", "metadata": { "editable": true }, @@ -3529,7 +3529,7 @@ }, { "cell_type": "markdown", - "id": "d29615f2", + "id": "f85233fa", "metadata": { "editable": true }, @@ -3541,7 +3541,7 @@ }, { "cell_type": "markdown", - "id": "1f2c3f1e", + "id": "61b8cabc", "metadata": { "editable": true }, @@ -3551,7 +3551,7 @@ }, { "cell_type": "markdown", - "id": "759ab85a", + "id": "9b057486", "metadata": { "editable": true }, @@ -3566,7 +3566,7 @@ }, { "cell_type": "markdown", - "id": "4538c162", + "id": "6274419d", "metadata": { "editable": true }, @@ -3578,7 +3578,7 @@ }, { "cell_type": "markdown", - "id": "a5617e01", + "id": "213c9ae6", "metadata": { "editable": true }, @@ -3588,7 +3588,7 @@ }, { "cell_type": "markdown", - "id": "fe0b46d4", + "id": "6a9de3b7", "metadata": { "editable": true }, @@ -3600,7 +3600,7 @@ }, { "cell_type": "markdown", - "id": "7695cd6a", + "id": "d7ce3387", "metadata": { "editable": true }, @@ -3610,7 +3610,7 @@ }, { "cell_type": "markdown", - "id": "26601b01", + "id": "98ff9d86", "metadata": { "editable": true }, @@ -3622,7 +3622,7 @@ }, { "cell_type": "markdown", - "id": "6a2d467f", + "id": "2b327be5", "metadata": { "editable": true }, @@ -3634,7 +3634,7 @@ }, { "cell_type": "markdown", - "id": "a830ae89", + "id": "2c1a9126", "metadata": { "editable": true }, @@ -3649,7 +3649,7 @@ }, { "cell_type": "markdown", - "id": "488dd05c", + "id": "3c92214f", "metadata": { "editable": true }, @@ -3660,7 +3660,7 @@ }, { "cell_type": "markdown", - "id": "0383a3b6", + "id": "534f2e5f", "metadata": { "editable": true }, @@ -3680,7 +3680,7 @@ }, { "cell_type": "markdown", - "id": "10e82320", + "id": "7b60adf4", "metadata": { "editable": true }, @@ -3692,7 +3692,7 @@ }, { "cell_type": "markdown", - "id": "59a6e34a", + "id": "8a70724c", "metadata": { "editable": true }, @@ -3702,7 +3702,7 @@ }, { "cell_type": "markdown", - "id": "ab9dc4a5", + "id": "428c905b", "metadata": { "editable": true }, @@ -3714,7 +3714,7 @@ }, { "cell_type": "markdown", - "id": "51c1c028", + "id": "874e40ee", "metadata": { "editable": true }, @@ -3743,7 +3743,7 @@ }, { "cell_type": "markdown", - "id": "ec252687", + "id": "35f9527c", "metadata": { "editable": true }, @@ -3770,7 +3770,7 @@ }, { "cell_type": "markdown", - "id": "156bfe10", + "id": "fdd5aa47", "metadata": { "editable": true }, @@ -3781,7 +3781,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "3c182484", + "id": "01e4de19", "metadata": { "collapsed": false, "editable": true @@ -3821,7 +3821,7 @@ }, { "cell_type": "markdown", - "id": "98a0e5ec", + "id": "d4de121b", "metadata": { "editable": true }, @@ -3838,7 +3838,7 @@ }, { "cell_type": "markdown", - "id": "b69361d0", + "id": "7ca8d39b", "metadata": { "editable": true }, @@ -3861,7 +3861,7 @@ }, { "cell_type": "markdown", - "id": "8d7c0cc8", + "id": "bdcff808", "metadata": { "editable": true }, @@ -3875,7 +3875,7 @@ }, { "cell_type": "markdown", - "id": "0a45fa90", + "id": "28074411", "metadata": { "editable": true }, @@ -3894,7 +3894,7 @@ }, { "cell_type": "markdown", - "id": "add34bfc", + "id": "4ea2fc19", "metadata": { "editable": true }, @@ -3904,7 +3904,7 @@ }, { "cell_type": "markdown", - "id": "f00ff6da", + "id": "a1fee3ce", "metadata": { "editable": true }, @@ -3916,7 +3916,7 @@ }, { "cell_type": "markdown", - "id": "348cd8df", + "id": "fd762673", "metadata": { "editable": true }, @@ -3930,7 +3930,7 @@ }, { "cell_type": "markdown", - "id": "f7697c17", + "id": "f20cf9e9", "metadata": { "editable": true }, @@ -3942,7 +3942,7 @@ }, { "cell_type": "markdown", - "id": "64417096", + "id": "85368feb", "metadata": { "editable": true }, @@ -3952,7 +3952,7 @@ }, { "cell_type": "markdown", - "id": "ded28c47", + "id": "a8770954", "metadata": { "editable": true }, @@ -3964,7 +3964,7 @@ }, { "cell_type": "markdown", - "id": "f70d6ea7", + "id": "4a270875", "metadata": { "editable": true }, @@ -3981,7 +3981,7 @@ }, { "cell_type": "markdown", - "id": "68ecbbfa", + "id": "680b5723", "metadata": { "editable": true }, @@ -3991,7 +3991,7 @@ }, { "cell_type": "markdown", - "id": "73db495d", + "id": "4ccca506", "metadata": { "editable": true }, @@ -4007,7 +4007,7 @@ }, { "cell_type": "markdown", - "id": "44412861", + "id": "1e79a5cc", "metadata": { "editable": true }, @@ -4017,7 +4017,7 @@ }, { "cell_type": "markdown", - "id": "985de8ad", + "id": "27b3b9fe", "metadata": { "editable": true }, @@ -4033,7 +4033,7 @@ }, { "cell_type": "markdown", - "id": "bae93d68", + "id": "a351c847", "metadata": { "editable": true }, @@ -4043,7 +4043,7 @@ }, { "cell_type": "markdown", - "id": "e29bd644", + "id": "aa000d05", "metadata": { "editable": true }, @@ -4059,7 +4059,7 @@ }, { "cell_type": "markdown", - "id": "3abf4a2d", + "id": "2d519658", "metadata": { "editable": true }, @@ -4069,7 +4069,7 @@ }, { "cell_type": "markdown", - "id": "fe1e2ce7", + "id": "0870c7af", "metadata": { "editable": true }, @@ -4086,7 +4086,7 @@ }, { "cell_type": "markdown", - "id": "d23d044b", + "id": "084c61ee", "metadata": { "editable": true }, @@ -4098,7 +4098,7 @@ }, { "cell_type": "markdown", - "id": "36e38f22", + "id": "a3d4ccfa", "metadata": { "editable": true }, @@ -4110,7 +4110,7 @@ }, { "cell_type": "markdown", - "id": "ad22843b", + "id": "59ba92d2", "metadata": { "editable": true }, @@ -4122,7 +4122,7 @@ }, { "cell_type": "markdown", - "id": "fabcf0f8", + "id": "b5e2f754", "metadata": { "editable": true }, @@ -4132,7 +4132,7 @@ }, { "cell_type": "markdown", - "id": "2c2f44c5", + "id": "9cb23cb1", "metadata": { "editable": true }, @@ -4144,7 +4144,7 @@ }, { "cell_type": "markdown", - "id": "105762d0", + "id": "1c3ffc6f", "metadata": { "editable": true }, @@ -4156,7 +4156,7 @@ }, { "cell_type": "markdown", - "id": "35a42e41", + "id": "786439ab", "metadata": { "editable": true }, @@ -4168,7 +4168,7 @@ }, { "cell_type": "markdown", - "id": "8e21698f", + "id": "51d4bb29", "metadata": { "editable": true }, @@ -4178,7 +4178,7 @@ }, { "cell_type": "markdown", - "id": "a240efc0", + "id": "79bdc7d5", "metadata": { "editable": true }, @@ -4190,17 +4190,17 @@ }, { "cell_type": "markdown", - "id": "3919a2cb", + "id": "a48d61d1", "metadata": { "editable": true }, "source": [ - "which gives us, using the orthogonality of the matrices $\\boldsymbol{U}$ and $\\boldsymbol{V}$," + "which gives us, using the orthogonality of the matrix $\\boldsymbol{V}$," ] }, { "cell_type": "markdown", - "id": "ddf99a3e", + "id": "3c8b52bf", "metadata": { "editable": true }, @@ -4212,7 +4212,7 @@ }, { "cell_type": "markdown", - "id": "5a790d25", + "id": "d902463f", "metadata": { "editable": true }, @@ -4220,13 +4220,15 @@ "It means that the ordinary least square model (with the optimal\n", "parameters) $\\boldsymbol{\\tilde{y}}$, corresponds to an orthogonal\n", "transformation of the output (or target) vector $\\boldsymbol{y}$ by the\n", - "vectors of the matrix $\\boldsymbol{U}$. Note that the summation ends at $p-1$,\n", - "that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$." + "vectors of the matrix $\\boldsymbol{U}$. **Note that the summation ends at**\n", + "$p-1$, that is $\\boldsymbol{\\tilde{y}}\\ne \\boldsymbol{y}$. We can thus not use the\n", + "orthogonality relation for the matrix $\\boldsymbol{U}$. This can already be\n", + "when we multiply the matrices $\\boldsymbol{\\Sigma}^T\\boldsymbol{U}^T$." ] }, { "cell_type": "markdown", - "id": "113a5d16", + "id": "955c3dda", "metadata": { "editable": true }, @@ -4238,7 +4240,7 @@ }, { "cell_type": "markdown", - "id": "ec65ec89", + "id": "af6d057f", "metadata": { "editable": true }, @@ -4250,7 +4252,7 @@ }, { "cell_type": "markdown", - "id": "ed891134", + "id": "1200c060", "metadata": { "editable": true }, @@ -4260,7 +4262,7 @@ }, { "cell_type": "markdown", - "id": "5266f146", + "id": "18782e94", "metadata": { "editable": true }, @@ -4272,7 +4274,7 @@ }, { "cell_type": "markdown", - "id": "666ab5b3", + "id": "f51193b6", "metadata": { "editable": true }, @@ -4283,7 +4285,7 @@ }, { "cell_type": "markdown", - "id": "ab9a3eec", + "id": "293c5f44", "metadata": { "editable": true }, @@ -4295,7 +4297,7 @@ }, { "cell_type": "markdown", - "id": "252e7533", + "id": "8e5cd6b1", "metadata": { "editable": true }, @@ -4305,7 +4307,7 @@ }, { "cell_type": "markdown", - "id": "201b9300", + "id": "79a79025", "metadata": { "editable": true }, @@ -4317,7 +4319,7 @@ }, { "cell_type": "markdown", - "id": "4f6287cf", + "id": "9bbddbf2", "metadata": { "editable": true }, @@ -4327,7 +4329,7 @@ }, { "cell_type": "markdown", - "id": "1ace6d06", + "id": "1a80c23e", "metadata": { "editable": true }, @@ -4339,7 +4341,7 @@ }, { "cell_type": "markdown", - "id": "274f98fb", + "id": "f5af565e", "metadata": { "editable": true }, @@ -4350,7 +4352,7 @@ }, { "cell_type": "markdown", - "id": "70dc1b76", + "id": "dd518e36", "metadata": { "editable": true }, @@ -4362,7 +4364,7 @@ }, { "cell_type": "markdown", - "id": "096c55e9", + "id": "082bcee9", "metadata": { "editable": true }, @@ -4380,7 +4382,7 @@ }, { "cell_type": "markdown", - "id": "0ac9bdae", + "id": "bdbc4fa9", "metadata": { "editable": true }, @@ -4396,7 +4398,7 @@ }, { "cell_type": "markdown", - "id": "a456e251", + "id": "33adf71a", "metadata": { "editable": true }, @@ -4408,7 +4410,7 @@ }, { "cell_type": "markdown", - "id": "7c817401", + "id": "3794d9a9", "metadata": { "editable": true }, @@ -4420,7 +4422,7 @@ }, { "cell_type": "markdown", - "id": "20d7bb5d", + "id": "55e25f81", "metadata": { "editable": true }, @@ -4432,7 +4434,7 @@ }, { "cell_type": "markdown", - "id": "52a9f64e", + "id": "47657755", "metadata": { "editable": true }, @@ -4445,7 +4447,7 @@ }, { "cell_type": "markdown", - "id": "77820e66", + "id": "bfdc6c11", "metadata": { "editable": true }, @@ -4461,7 +4463,7 @@ }, { "cell_type": "markdown", - "id": "dc6ab9cd", + "id": "b10b21d6", "metadata": { "editable": true }, @@ -4475,7 +4477,7 @@ }, { "cell_type": "markdown", - "id": "8a8ee502", + "id": "127632f4", "metadata": { "editable": true }, @@ -4485,7 +4487,7 @@ }, { "cell_type": "markdown", - "id": "f377b529", + "id": "ddd29440", "metadata": { "editable": true }, @@ -4497,7 +4499,7 @@ }, { "cell_type": "markdown", - "id": "e572a54d", + "id": "8f1426a9", "metadata": { "editable": true }, @@ -4507,7 +4509,7 @@ }, { "cell_type": "markdown", - "id": "1b9c72f5", + "id": "8af09cbd", "metadata": { "editable": true }, @@ -4519,7 +4521,7 @@ }, { "cell_type": "markdown", - "id": "15c56784", + "id": "fbb24d4a", "metadata": { "editable": true }, @@ -4529,7 +4531,7 @@ }, { "cell_type": "markdown", - "id": "a03c1a32", + "id": "108264c8", "metadata": { "editable": true }, @@ -4543,7 +4545,7 @@ }, { "cell_type": "markdown", - "id": "af372da2", + "id": "1df71171", "metadata": { "editable": true }, @@ -4560,7 +4562,7 @@ }, { "cell_type": "markdown", - "id": "9200f285", + "id": "94f43fa7", "metadata": { "editable": true }, @@ -4576,7 +4578,7 @@ }, { "cell_type": "markdown", - "id": "d5becae6", + "id": "35a9e26e", "metadata": { "editable": true }, @@ -4588,7 +4590,7 @@ }, { "cell_type": "markdown", - "id": "27e6e5b8", + "id": "570d029f", "metadata": { "editable": true }, @@ -4601,7 +4603,7 @@ }, { "cell_type": "markdown", - "id": "06454f55", + "id": "2920ebfe", "metadata": { "editable": true }, @@ -4615,7 +4617,7 @@ }, { "cell_type": "markdown", - "id": "833b2511", + "id": "508ef7cd", "metadata": { "editable": true }, @@ -4625,7 +4627,7 @@ }, { "cell_type": "markdown", - "id": "056aceed", + "id": "47eaf212", "metadata": { "editable": true }, @@ -4638,7 +4640,7 @@ }, { "cell_type": "markdown", - "id": "950f361e", + "id": "c88297fa", "metadata": { "editable": true }, @@ -4657,7 +4659,7 @@ }, { "cell_type": "markdown", - "id": "2d8ac5c2", + "id": "0eb1beac", "metadata": { "editable": true }, @@ -4669,7 +4671,7 @@ }, { "cell_type": "markdown", - "id": "62d04779", + "id": "f8055f42", "metadata": { "editable": true }, @@ -4681,7 +4683,7 @@ }, { "cell_type": "markdown", - "id": "797b13b8", + "id": "18b7ca49", "metadata": { "editable": true }, @@ -4691,7 +4693,7 @@ }, { "cell_type": "markdown", - "id": "bd705147", + "id": "bf084294", "metadata": { "editable": true }, @@ -4703,7 +4705,7 @@ }, { "cell_type": "markdown", - "id": "542850cc", + "id": "d2d914bb", "metadata": { "editable": true }, @@ -4716,7 +4718,7 @@ }, { "cell_type": "markdown", - "id": "db1aaf48", + "id": "28d0307c", "metadata": { "editable": true }, @@ -4735,7 +4737,7 @@ }, { "cell_type": "markdown", - "id": "6dc65433", + "id": "c1022b8b", "metadata": { "editable": true }, @@ -4745,7 +4747,7 @@ }, { "cell_type": "markdown", - "id": "ccd95a67", + "id": "9813aced", "metadata": { "editable": true }, @@ -4764,7 +4766,7 @@ }, { "cell_type": "markdown", - "id": "c15cc257", + "id": "624e1592", "metadata": { "editable": true }, @@ -4782,7 +4784,7 @@ }, { "cell_type": "markdown", - "id": "cc4a5463", + "id": "3e69238f", "metadata": { "editable": true }, @@ -4796,7 +4798,7 @@ }, { "cell_type": "markdown", - "id": "b8cfd6fa", + "id": "1adcab4e", "metadata": { "editable": true }, @@ -4811,7 +4813,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "31e1da88", + "id": "d7a3937b", "metadata": { "collapsed": false, "editable": true @@ -4832,7 +4834,7 @@ }, { "cell_type": "markdown", - "id": "24a933c2", + "id": "7668b290", "metadata": { "editable": true }, @@ -4849,7 +4851,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "8d9779ce", + "id": "22a46238", "metadata": { "collapsed": false, "editable": true @@ -4881,7 +4883,7 @@ }, { "cell_type": "markdown", - "id": "c7e322b5", + "id": "8d60df16", "metadata": { "editable": true }, @@ -4895,7 +4897,7 @@ }, { "cell_type": "markdown", - "id": "ea5682d7", + "id": "5cce022a", "metadata": { "editable": true }, @@ -4908,7 +4910,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "0e83fcbc", + "id": "ce383181", "metadata": { "collapsed": false, "editable": true @@ -4933,7 +4935,7 @@ }, { "cell_type": "markdown", - "id": "1226fab9", + "id": "5af761f5", "metadata": { "editable": true }, @@ -4943,7 +4945,7 @@ }, { "cell_type": "markdown", - "id": "923ffc58", + "id": "43c34a93", "metadata": { "editable": true }, @@ -4954,7 +4956,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "145c2622", + "id": "98ae9abd", "metadata": { "collapsed": false, "editable": true @@ -5008,7 +5010,7 @@ }, { "cell_type": "markdown", - "id": "8a657c92", + "id": "55b95089", "metadata": { "editable": true }, @@ -5025,7 +5027,7 @@ }, { "cell_type": "markdown", - "id": "522f204b", + "id": "58edec27", "metadata": { "editable": true }, @@ -5037,7 +5039,7 @@ }, { "cell_type": "markdown", - "id": "6ab032e5", + "id": "91cf5408", "metadata": { "editable": true }, @@ -5049,7 +5051,7 @@ }, { "cell_type": "markdown", - "id": "423a9a47", + "id": "9628d939", "metadata": { "editable": true }, @@ -5059,7 +5061,7 @@ }, { "cell_type": "markdown", - "id": "817b323b", + "id": "d408e7f5", "metadata": { "editable": true }, @@ -5076,7 +5078,7 @@ }, { "cell_type": "markdown", - "id": "93f4ff8f", + "id": "1266b478", "metadata": { "editable": true }, @@ -5086,7 +5088,7 @@ }, { "cell_type": "markdown", - "id": "437c6704", + "id": "e22633d5", "metadata": { "editable": true }, @@ -5101,7 +5103,7 @@ }, { "cell_type": "markdown", - "id": "fe76cb03", + "id": "594fba0d", "metadata": { "editable": true }, @@ -5111,7 +5113,7 @@ }, { "cell_type": "markdown", - "id": "71d190a9", + "id": "d70023fd", "metadata": { "editable": true }, @@ -5125,7 +5127,7 @@ }, { "cell_type": "markdown", - "id": "21d676ff", + "id": "52dc44dd", "metadata": { "editable": true }, @@ -5137,7 +5139,7 @@ }, { "cell_type": "markdown", - "id": "95bf7f81", + "id": "a2668fc5", "metadata": { "editable": true }, @@ -5149,7 +5151,7 @@ }, { "cell_type": "markdown", - "id": "3e6fccbc", + "id": "abcb6d33", "metadata": { "editable": true }, @@ -5161,7 +5163,7 @@ }, { "cell_type": "markdown", - "id": "8c261002", + "id": "a224487f", "metadata": { "editable": true }, @@ -5171,7 +5173,7 @@ }, { "cell_type": "markdown", - "id": "f9aedabd", + "id": "7d2e0786", "metadata": { "editable": true }, @@ -5183,7 +5185,7 @@ }, { "cell_type": "markdown", - "id": "b9c3ddc5", + "id": "1175c0c5", "metadata": { "editable": true }, @@ -5193,7 +5195,7 @@ }, { "cell_type": "markdown", - "id": "ed30a2b1", + "id": "bbfe6895", "metadata": { "editable": true }, @@ -5210,7 +5212,7 @@ }, { "cell_type": "markdown", - "id": "dfb0eb4a", + "id": "9e1fd41d", "metadata": { "editable": true }, @@ -5220,7 +5222,7 @@ }, { "cell_type": "markdown", - "id": "39664ac4", + "id": "2ac7e61a", "metadata": { "editable": true }, @@ -5232,7 +5234,7 @@ }, { "cell_type": "markdown", - "id": "36858bcd", + "id": "779f099c", "metadata": { "editable": true }, @@ -5242,7 +5244,7 @@ }, { "cell_type": "markdown", - "id": "1938dd21", + "id": "fe58de11", "metadata": { "editable": true }, @@ -5254,7 +5256,7 @@ }, { "cell_type": "markdown", - "id": "d89b7fce", + "id": "6f9244dc", "metadata": { "editable": true }, @@ -5268,7 +5270,7 @@ }, { "cell_type": "markdown", - "id": "a30a69b4", + "id": "0dc4a97b", "metadata": { "editable": true }, @@ -5280,7 +5282,7 @@ }, { "cell_type": "markdown", - "id": "34639fb6", + "id": "c85e169b", "metadata": { "editable": true }, @@ -5302,7 +5304,7 @@ }, { "cell_type": "markdown", - "id": "20ad8e3f", + "id": "d9c670c9", "metadata": { "editable": true }, @@ -5314,7 +5316,7 @@ }, { "cell_type": "markdown", - "id": "d9478bfc", + "id": "19f3422e", "metadata": { "editable": true }, @@ -5329,7 +5331,7 @@ }, { "cell_type": "markdown", - "id": "04d7397f", + "id": "73ba196c", "metadata": { "editable": true }, @@ -5341,7 +5343,7 @@ }, { "cell_type": "markdown", - "id": "59f21f2c", + "id": "8e045ed0", "metadata": { "editable": true }, @@ -5353,7 +5355,7 @@ }, { "cell_type": "markdown", - "id": "a309e6d5", + "id": "73a040c2", "metadata": { "editable": true }, @@ -5363,7 +5365,7 @@ }, { "cell_type": "markdown", - "id": "2c4186ec", + "id": "ad598099", "metadata": { "editable": true }, @@ -5375,7 +5377,7 @@ }, { "cell_type": "markdown", - "id": "ccd854d0", + "id": "72c59cf8", "metadata": { "editable": true }, @@ -5385,7 +5387,7 @@ }, { "cell_type": "markdown", - "id": "74eaeda4", + "id": "7d3ea89e", "metadata": { "editable": true }, @@ -5397,7 +5399,7 @@ }, { "cell_type": "markdown", - "id": "053b8482", + "id": "7180582d", "metadata": { "editable": true }, @@ -5407,7 +5409,7 @@ }, { "cell_type": "markdown", - "id": "6f8a528a", + "id": "9993e038", "metadata": { "editable": true }, @@ -5419,7 +5421,7 @@ }, { "cell_type": "markdown", - "id": "112070df", + "id": "eb3035aa", "metadata": { "editable": true }, @@ -5436,7 +5438,7 @@ }, { "cell_type": "markdown", - "id": "33e268b0", + "id": "a561bcdb", "metadata": { "editable": true }, @@ -5449,7 +5451,7 @@ }, { "cell_type": "markdown", - "id": "0de7adcd", + "id": "268ae34a", "metadata": { "editable": true }, @@ -5461,7 +5463,7 @@ }, { "cell_type": "markdown", - "id": "fa30d846", + "id": "fc03d5dc", "metadata": { "editable": true }, @@ -5471,7 +5473,7 @@ }, { "cell_type": "markdown", - "id": "d577ef22", + "id": "1ea893df", "metadata": { "editable": true }, @@ -5484,7 +5486,7 @@ }, { "cell_type": "markdown", - "id": "ce39ce20", + "id": "3ef4a051", "metadata": { "editable": true }, @@ -5494,7 +5496,7 @@ }, { "cell_type": "markdown", - "id": "960bd21b", + "id": "e250ee2f", "metadata": { "editable": true }, @@ -5506,7 +5508,7 @@ }, { "cell_type": "markdown", - "id": "7736561e", + "id": "ac02490b", "metadata": { "editable": true }, @@ -5519,7 +5521,7 @@ }, { "cell_type": "markdown", - "id": "f1043146", + "id": "aeb823e8", "metadata": { "editable": true }, @@ -5532,7 +5534,7 @@ }, { "cell_type": "markdown", - "id": "56e791a2", + "id": "185ff85c", "metadata": { "editable": true }, @@ -5544,7 +5546,7 @@ }, { "cell_type": "markdown", - "id": "dbcb265a", + "id": "1419c4ca", "metadata": { "editable": true }, @@ -5556,7 +5558,7 @@ }, { "cell_type": "markdown", - "id": "9e1a00c1", + "id": "9773136b", "metadata": { "editable": true }, @@ -5566,7 +5568,7 @@ }, { "cell_type": "markdown", - "id": "6ca6c71d", + "id": "f8b694dc", "metadata": { "editable": true }, @@ -5579,7 +5581,7 @@ }, { "cell_type": "markdown", - "id": "797658d0", + "id": "88371d47", "metadata": { "editable": true }, @@ -5591,7 +5593,7 @@ }, { "cell_type": "markdown", - "id": "ed64a13e", + "id": "171b5be4", "metadata": { "editable": true }, @@ -5603,7 +5605,7 @@ }, { "cell_type": "markdown", - "id": "fc6a2aeb", + "id": "1e835b14", "metadata": { "editable": true }, @@ -5615,7 +5617,7 @@ }, { "cell_type": "markdown", - "id": "1c956ba4", + "id": "17531870", "metadata": { "editable": true }, @@ -5627,7 +5629,7 @@ }, { "cell_type": "markdown", - "id": "ea5516df", + "id": "0e3ef48e", "metadata": { "editable": true }, @@ -5641,7 +5643,7 @@ }, { "cell_type": "markdown", - "id": "b6d61e24", + "id": "66166180", "metadata": { "editable": true }, @@ -5653,7 +5655,7 @@ }, { "cell_type": "markdown", - "id": "84765a82", + "id": "a58eac00", "metadata": { "editable": true }, @@ -5663,7 +5665,7 @@ }, { "cell_type": "markdown", - "id": "973019d8", + "id": "27eed264", "metadata": { "editable": true }, @@ -5675,7 +5677,7 @@ }, { "cell_type": "markdown", - "id": "7f074350", + "id": "dde3eff1", "metadata": { "editable": true }, @@ -5687,7 +5689,7 @@ }, { "cell_type": "markdown", - "id": "0570ceae", + "id": "fc32ef71", "metadata": { "editable": true }, @@ -5699,7 +5701,7 @@ }, { "cell_type": "markdown", - "id": "5d16ea9d", + "id": "f71d1884", "metadata": { "editable": true }, @@ -5711,7 +5713,7 @@ }, { "cell_type": "markdown", - "id": "b739c33e", + "id": "a461218a", "metadata": { "editable": true }, @@ -5723,7 +5725,7 @@ }, { "cell_type": "markdown", - "id": "dc8bc23b", + "id": "417dd2f5", "metadata": { "editable": true }, @@ -5742,7 +5744,7 @@ }, { "cell_type": "markdown", - "id": "d89da6dc", + "id": "fb40cac4", "metadata": { "editable": true }, @@ -5754,7 +5756,7 @@ }, { "cell_type": "markdown", - "id": "3b871cb3", + "id": "0220204c", "metadata": { "editable": true }, @@ -5764,7 +5766,7 @@ }, { "cell_type": "markdown", - "id": "018e1163", + "id": "5f1bd6c9", "metadata": { "editable": true }, @@ -5776,7 +5778,7 @@ }, { "cell_type": "markdown", - "id": "24f364d8", + "id": "17072bfc", "metadata": { "editable": true }, @@ -5786,7 +5788,7 @@ }, { "cell_type": "markdown", - "id": "4f695ec4", + "id": "2c11fad3", "metadata": { "editable": true }, @@ -5798,7 +5800,7 @@ }, { "cell_type": "markdown", - "id": "a4599188", + "id": "c609b962", "metadata": { "editable": true }, @@ -5810,7 +5812,7 @@ }, { "cell_type": "markdown", - "id": "0edf0a0c", + "id": "9795acef", "metadata": { "editable": true }, @@ -5826,7 +5828,7 @@ }, { "cell_type": "markdown", - "id": "9afad20c", + "id": "b2219ef4", "metadata": { "editable": true }, @@ -5838,7 +5840,7 @@ }, { "cell_type": "markdown", - "id": "33df2d17", + "id": "db852bdc", "metadata": { "editable": true }, @@ -5850,7 +5852,7 @@ }, { "cell_type": "markdown", - "id": "972e10e7", + "id": "7af957bf", "metadata": { "editable": true }, @@ -5860,7 +5862,7 @@ }, { "cell_type": "markdown", - "id": "86f89bca", + "id": "3b9a6dcb", "metadata": { "editable": true }, @@ -5872,7 +5874,7 @@ }, { "cell_type": "markdown", - "id": "c286d017", + "id": "9fe99d76", "metadata": { "editable": true }, @@ -5882,7 +5884,7 @@ }, { "cell_type": "markdown", - "id": "4dcbe7e5", + "id": "95c258e2", "metadata": { "editable": true }, @@ -5894,7 +5896,7 @@ }, { "cell_type": "markdown", - "id": "43db48d4", + "id": "61e1baef", "metadata": { "editable": true }, @@ -5911,7 +5913,7 @@ }, { "cell_type": "markdown", - "id": "17d8c95a", + "id": "706bad69", "metadata": { "editable": true }, @@ -5923,7 +5925,7 @@ }, { "cell_type": "markdown", - "id": "3c9d6593", + "id": "ff63d81f", "metadata": { "editable": true }, @@ -5935,7 +5937,7 @@ }, { "cell_type": "markdown", - "id": "a1606a04", + "id": "66436c5d", "metadata": { "editable": true }, @@ -5945,7 +5947,7 @@ }, { "cell_type": "markdown", - "id": "d192512a", + "id": "4bb26a2e", "metadata": { "editable": true }, @@ -5957,7 +5959,7 @@ }, { "cell_type": "markdown", - "id": "a60675a1", + "id": "87a71dc0", "metadata": { "editable": true }, @@ -5967,7 +5969,7 @@ }, { "cell_type": "markdown", - "id": "942fc37f", + "id": "a9ef08dc", "metadata": { "editable": true }, @@ -5979,7 +5981,7 @@ }, { "cell_type": "markdown", - "id": "4f5e067f", + "id": "f8ebfe39", "metadata": { "editable": true }, @@ -5989,7 +5991,7 @@ }, { "cell_type": "markdown", - "id": "d330f743", + "id": "e3acea6b", "metadata": { "editable": true }, @@ -6001,7 +6003,7 @@ }, { "cell_type": "markdown", - "id": "55f9b635", + "id": "24f8649f", "metadata": { "editable": true }, @@ -6011,7 +6013,7 @@ }, { "cell_type": "markdown", - "id": "5a6d1b0b", + "id": "2af184ea", "metadata": { "editable": true }, @@ -6023,7 +6025,7 @@ }, { "cell_type": "markdown", - "id": "12fd13cb", + "id": "257f939f", "metadata": { "editable": true }, diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt index 12707253a..47e632f4b 100644 --- a/doc/src/week35/week35.do.txt +++ b/doc/src/week35/week35.do.txt @@ -2050,7 +2050,7 @@ and using our SVD decomposition of $\bm{X}$ we have \tilde{y}_{\mathrm{OLS}}=\bm{U}\bm{\Sigma}\bm{V}^T\left(\bm{V}\tilde{\bm{\Sigma}}^{2}(\bm{V}^T\right)^{-1}\bm{V}\bm{\Sigma}^T\bm{U}^T\bm{y}, \] !et -which gives us, using the orthogonality of the matrices $\bm{U}$ and $\bm{V}$, +which gives us, using the orthogonality of the matrix $\bm{V}$, !bt \[ @@ -2061,8 +2061,10 @@ which gives us, using the orthogonality of the matrices $\bm{U}$ and $\bm{V}$, It means that the ordinary least square model (with the optimal parameters) $\bm{\tilde{y}}$, corresponds to an orthogonal transformation of the output (or target) vector $\bm{y}$ by the -vectors of the matrix $\bm{U}$. Note that the summation ends at $p-1$, -that is $\bm{\tilde{y}}\ne \bm{y}$. +vectors of the matrix $\bm{U}$. _Note that the summation ends at_ +$p-1$, that is $\bm{\tilde{y}}\ne \bm{y}$. We can thus not use the +orthogonality relation for the matrix $\bm{U}$. This can already be +when we multiply the matrices $\bm{\Sigma}^T\bm{U}^T$. !split ===== Further properties (important for our analyses later) =====