From ed47ea27600f038acbe1560f5877af196c4f67eb Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Mon, 6 Sep 2021 22:26:00 +0200 Subject: [PATCH] update week 35 --- doc/pub/week35/html/week35-reveal.html | 4 ++-- doc/pub/week35/html/week35-solarized.html | 4 ++-- doc/pub/week35/html/week35.html | 4 ++-- doc/pub/week35/ipynb/ipynb-week35-src.tar.gz | Bin 192 -> 191 bytes doc/pub/week35/ipynb/week35.ipynb | 4 ++-- doc/src/week35/week35.do.txt | 4 ++-- 6 files changed, 10 insertions(+), 10 deletions(-) diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html index f7dc858c5..b829082f4 100644 --- a/doc/pub/week35/html/week35-reveal.html +++ b/doc/pub/week35/html/week35-reveal.html @@ -2658,8 +2658,8 @@ If we then compute the expectation value (note the \( 1/n \) factor instead of \

 
$$ \mathbb{E}[\boldsymbol{X}^T\boldsymbol{X}] = \frac{1}{n}\boldsymbol{X}^T\boldsymbol{X}=\frac{1}{n}\begin{bmatrix} -x_{00}^2+x_{01}^2 & x_{00}x_{10}+x_{01}x_{11}\\ -x_{10}x_{00}+x_{11}x_{01} & x_{10}^2+x_{11}^2\\ +x_{00}^2+x_{10}^2 & x_{00}x_{01}+x_{10}x_{11}\\ +x_{01}x_{00}+x_{11}x_{10} & x_{01}^2+x_{11}^2\\ \end{bmatrix}, $$

 
diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html index b763aaad1..6904719c5 100644 --- a/doc/pub/week35/html/week35-solarized.html +++ b/doc/pub/week35/html/week35-solarized.html @@ -2667,8 +2667,8 @@ $$ If we then compute the expectation value (note the \( 1/n \) factor instead of \( 1/(n-1) \)) $$ \mathbb{E}[\boldsymbol{X}^T\boldsymbol{X}] = \frac{1}{n}\boldsymbol{X}^T\boldsymbol{X}=\frac{1}{n}\begin{bmatrix} -x_{00}^2+x_{01}^2 & x_{00}x_{10}+x_{01}x_{11}\\ -x_{10}x_{00}+x_{11}x_{01} & x_{10}^2+x_{11}^2\\ +x_{00}^2+x_{10}^2 & x_{00}x_{01}+x_{10}x_{11}\\ +x_{01}x_{00}+x_{11}x_{10} & x_{01}^2+x_{11}^2\\ \end{bmatrix}, $$ diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html index 55b418dfb..0abf499dc 100644 --- a/doc/pub/week35/html/week35.html +++ b/doc/pub/week35/html/week35.html @@ -2672,8 +2672,8 @@ $$ If we then compute the expectation value (note the \( 1/n \) factor instead of \( 1/(n-1) \)) $$ \mathbb{E}[\boldsymbol{X}^T\boldsymbol{X}] = \frac{1}{n}\boldsymbol{X}^T\boldsymbol{X}=\frac{1}{n}\begin{bmatrix} -x_{00}^2+x_{01}^2 & x_{00}x_{10}+x_{01}x_{11}\\ -x_{10}x_{00}+x_{11}x_{01} & x_{10}^2+x_{11}^2\\ +x_{00}^2+x_{10}^2 & x_{00}x_{01}+x_{10}x_{11}\\ +x_{01}x_{00}+x_{11}x_{10} & x_{01}^2+x_{11}^2\\ \end{bmatrix}, $$ diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz index 15bf74d12d71df93755c7b1c21da32888e12d5d8..883997c43557a4ac361c20535dfb513c7134a056 100644 GIT binary patch delta 172 zcmV;d08{_K0lxtrABzY8OnEk800ZsMOA5j;5C-6`dx|+hNo>-t1-p?R9e+c%-t4l- z-CeL4LP)|GjF~2UO0t^Y6G}NyHdK}}P8kpy^Oy!emRsqivrd>{m8LqQvZ&tm4Q*xl zVa|LCJo8T+D`{c7?_H%8DD5!Ux`rEK9rH-Gy~?4`XvZ%wcJ2q7tBFlLtWDM>uPCzNuaY^W@YX-a_5gvTrZvfN59opr(tt2EUal|}WgZ)hva z4|C>I;F*8oSV;@peeWu*Kxv1$)-~J^>x4(L?NttiMmv6i!D}ZCf>1q(qL5B%B`#rW b^vQ_EM&YlI@jTD-zV-ko#Ric>00;m82-Qrp diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb index 468206125..36440b523 100644 --- a/doc/pub/week35/ipynb/week35.ipynb +++ b/doc/pub/week35/ipynb/week35.ipynb @@ -3411,8 +3411,8 @@ "source": [ "$$\n", "\\mathbb{E}[\\boldsymbol{X}^T\\boldsymbol{X}] = \\frac{1}{n}\\boldsymbol{X}^T\\boldsymbol{X}=\\frac{1}{n}\\begin{bmatrix}\n", - "x_{00}^2+x_{01}^2 & x_{00}x_{10}+x_{01}x_{11}\\\\\n", - "x_{10}x_{00}+x_{11}x_{01} & x_{10}^2+x_{11}^2\\\\\n", + "x_{00}^2+x_{10}^2 & x_{00}x_{01}+x_{10}x_{11}\\\\\n", + "x_{01}x_{00}+x_{11}x_{10} & x_{01}^2+x_{11}^2\\\\\n", "\\end{bmatrix},\n", "$$" ] diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt index 2344c06f9..d888fabc0 100644 --- a/doc/src/week35/week35.do.txt +++ b/doc/src/week35/week35.do.txt @@ -2151,8 +2151,8 @@ If we then compute the expectation value (note the $1/n$ factor instead of $1/(n !bt \[ \mathbb{E}[\bm{X}^T\bm{X}] = \frac{1}{n}\bm{X}^T\bm{X}=\frac{1}{n}\begin{bmatrix} -x_{00}^2+x_{01}^2 & x_{00}x_{10}+x_{01}x_{11}\\ -x_{10}x_{00}+x_{11}x_{01} & x_{10}^2+x_{11}^2\\ +x_{00}^2+x_{10}^2 & x_{00}x_{01}+x_{10}x_{11}\\ +x_{01}x_{00}+x_{11}x_{10} & x_{01}^2+x_{11}^2\\ \end{bmatrix}, \] !et