From 4a6bce2d2e8ad38de7f764a9d0033a79922f2539 Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Wed, 31 Aug 2022 07:22:04 +0200 Subject: [PATCH] update --- doc/pub/week35/html/._week35-bs000.html | 2 +- doc/pub/week35/html/._week35-bs069.html | 2 +- doc/pub/week35/html/week35-bs.html | 2 +- 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 -> 192 bytes doc/pub/week35/ipynb/week35.ipynb | 838 +++++++++---------- doc/src/week35/week35.do.txt | 4 +- 9 files changed, 431 insertions(+), 429 deletions(-) diff --git a/doc/pub/week35/html/._week35-bs000.html b/doc/pub/week35/html/._week35-bs000.html index 77dc273fd..451953a6c 100644 --- a/doc/pub/week35/html/._week35-bs000.html +++ b/doc/pub/week35/html/._week35-bs000.html @@ -404,7 +404,7 @@ MathJax.Hub.Config({
-

Aug 30, 2022

+

Aug 31, 2022


diff --git a/doc/pub/week35/html/._week35-bs069.html b/doc/pub/week35/html/._week35-bs069.html index a329534df..a8939cae8 100644 --- a/doc/pub/week35/html/._week35-bs069.html +++ b/doc/pub/week35/html/._week35-bs069.html @@ -954,7 +954,7 @@ $$

and

$$ -\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a}, +\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T), $$

and

diff --git a/doc/pub/week35/html/week35-bs.html b/doc/pub/week35/html/week35-bs.html index 77dc273fd..451953a6c 100644 --- a/doc/pub/week35/html/week35-bs.html +++ b/doc/pub/week35/html/week35-bs.html @@ -404,7 +404,7 @@ MathJax.Hub.Config({
-

Aug 30, 2022

+

Aug 31, 2022


diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html index 9baf4fa2e..af903e528 100644 --- a/doc/pub/week35/html/week35-reveal.html +++ b/doc/pub/week35/html/week35-reveal.html @@ -184,7 +184,7 @@ MathJax.Hub.Config({
-

Aug 30, 2022

+

Aug 31, 2022


@@ -4068,7 +4068,7 @@ $$

and

 
$$ -\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a}, +\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T), $$

 
diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html index fd73c7667..ed86bd3a0 100644 --- a/doc/pub/week35/html/week35-solarized.html +++ b/doc/pub/week35/html/week35-solarized.html @@ -330,7 +330,7 @@ MathJax.Hub.Config({

-

Aug 30, 2022

+

Aug 31, 2022


@@ -3884,7 +3884,7 @@ $$

and

$$ -\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a}, +\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T), $$

and

diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html index 0c49aef2f..07925c051 100644 --- a/doc/pub/week35/html/week35.html +++ b/doc/pub/week35/html/week35.html @@ -407,7 +407,7 @@ MathJax.Hub.Config({
-

Aug 30, 2022

+

Aug 31, 2022


@@ -3961,7 +3961,7 @@ $$

and

$$ -\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = (\boldsymbol{A}+\boldsymbol{A}^T)\boldsymbol{a}, +\frac{\partial (\boldsymbol{a}^T\boldsymbol{A}\boldsymbol{a})}{\partial \boldsymbol{a}} = \boldsymbol{a}^T(\boldsymbol{A}+\boldsymbol{A}^T), $$

and

diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz index 5b4ed169245f8b3c4ffafd9cf8359440aea57fe4..7c9b29522dd93477c7c6b38b9686dbc0f4ddf764 100644 GIT binary patch literal 192 zcmV;x06+g9iwFSj?+#-C1MSaC3c@fD2H>uHia9|^%%f|;E?fvAULd8ZjkQTlQna_X z573q3rihSl^E1pa%p9`yW|t-Y?xV#ZggB)zX3E)=Xf@Xpj2U1`5Mew`83%+3qa*^f z+(|E;^TH0NG}T#ZC-u9zVXQ1a?3rJIXa0#}r5tScy|0W0ZM@8lso^GNO<1DZUguC4 u>BbgVdF_;yAaoC+D3n)5i%Z;EbF!jwN&M?)f*=TjuRQ>>jpU^O2mk ug&kX9#I=(~09QTmqL5B%#V=uN^vUqXM&YlY@jTD-zV-lY-7<3k2mk;yPhnXA diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb index 4a95992ab..f29a914a7 100644 --- a/doc/pub/week35/ipynb/week35.ipynb +++ b/doc/pub/week35/ipynb/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "2ac48f8c", + "id": "ea0f37a3", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "0455c452", + "id": "69f55c7a", "metadata": { "editable": true }, @@ -22,14 +22,14 @@ "# Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression\n", "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n", "\n", - "Date: **Aug 30, 2022**\n", + "Date: **Aug 31, 2022**\n", "\n", "Copyright 1999-2022, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license" ] }, { "cell_type": "markdown", - "id": "1e366220", + "id": "47d65a9e", "metadata": { "editable": true }, @@ -45,7 +45,7 @@ }, { "cell_type": "markdown", - "id": "27615a27", + "id": "7ae73a03", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "7a2bf68c", + "id": "ac6d1db6", "metadata": { "editable": true }, @@ -86,7 +86,7 @@ }, { "cell_type": "markdown", - "id": "2a15f16f", + "id": "51821ba3", "metadata": { "editable": true }, @@ -120,7 +120,7 @@ }, { "cell_type": "markdown", - "id": "8cb2be51", + "id": "43eedb4b", "metadata": { "editable": true }, @@ -142,7 +142,7 @@ }, { "cell_type": "markdown", - "id": "8d73d376", + "id": "576ff1e5", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "471b8ea0", + "id": "d7290ab4", "metadata": { "editable": true }, @@ -185,7 +185,7 @@ }, { "cell_type": "markdown", - "id": "32fe332b", + "id": "7691452e", "metadata": { "editable": true }, @@ -197,7 +197,7 @@ }, { "cell_type": "markdown", - "id": "95a1d844", + "id": "41f176b1", "metadata": { "editable": true }, @@ -212,7 +212,7 @@ }, { "cell_type": "markdown", - "id": "d4e84f92", + "id": "342226bf", "metadata": { "editable": true }, @@ -225,7 +225,7 @@ }, { "cell_type": "markdown", - "id": "c678e159", + "id": "e501f20a", "metadata": { "editable": true }, @@ -237,7 +237,7 @@ }, { "cell_type": "markdown", - "id": "84734e5f", + "id": "9a20c697", "metadata": { "editable": true }, @@ -247,7 +247,7 @@ }, { "cell_type": "markdown", - "id": "edfe5f69", + "id": "75e7326d", "metadata": { "editable": true }, @@ -258,7 +258,7 @@ }, { "cell_type": "markdown", - "id": "98d7626c", + "id": "cbe12d6f", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "9076cb16", + "id": "af78e4b9", "metadata": { "editable": true }, @@ -287,7 +287,7 @@ }, { "cell_type": "markdown", - "id": "92bbd0f9", + "id": "ef2c94ad", "metadata": { "editable": true }, @@ -299,7 +299,7 @@ }, { "cell_type": "markdown", - "id": "54896b63", + "id": "60f8decc", "metadata": { "editable": true }, @@ -309,7 +309,7 @@ }, { "cell_type": "markdown", - "id": "07644fb4", + "id": "96b87e80", "metadata": { "editable": true }, @@ -321,7 +321,7 @@ }, { "cell_type": "markdown", - "id": "92a1da2a", + "id": "8edf0ca6", "metadata": { "editable": true }, @@ -331,7 +331,7 @@ }, { "cell_type": "markdown", - "id": "cfd2cbb4", + "id": "b17370ca", "metadata": { "editable": true }, @@ -343,7 +343,7 @@ }, { "cell_type": "markdown", - "id": "db52e6ae", + "id": "83e47276", "metadata": { "editable": true }, @@ -353,7 +353,7 @@ }, { "cell_type": "markdown", - "id": "2babf6a4", + "id": "489bd2c4", "metadata": { "editable": true }, @@ -372,7 +372,7 @@ }, { "cell_type": "markdown", - "id": "411f99c7", + "id": "96ed8db9", "metadata": { "editable": true }, @@ -382,7 +382,7 @@ }, { "cell_type": "markdown", - "id": "44cc6a6c", + "id": "0e48a0ee", "metadata": { "editable": true }, @@ -394,7 +394,7 @@ }, { "cell_type": "markdown", - "id": "80b58d94", + "id": "ac105404", "metadata": { "editable": true }, @@ -404,7 +404,7 @@ }, { "cell_type": "markdown", - "id": "cfc7c9b3", + "id": "37cfd818", "metadata": { "editable": true }, @@ -420,7 +420,7 @@ }, { "cell_type": "markdown", - "id": "f93554f6", + "id": "eb91b397", "metadata": { "editable": true }, @@ -440,7 +440,7 @@ }, { "cell_type": "markdown", - "id": "7c16c8ce", + "id": "5e05fead", "metadata": { "editable": true }, @@ -450,7 +450,7 @@ }, { "cell_type": "markdown", - "id": "3eb510ba", + "id": "5944378c", "metadata": { "editable": true }, @@ -461,7 +461,7 @@ }, { "cell_type": "markdown", - "id": "484f018a", + "id": "cb75a6e2", "metadata": { "editable": true }, @@ -480,7 +480,7 @@ }, { "cell_type": "markdown", - "id": "4a8353eb", + "id": "b93474ee", "metadata": { "editable": true }, @@ -490,7 +490,7 @@ }, { "cell_type": "markdown", - "id": "edc212d2", + "id": "3f48dfad", "metadata": { "editable": true }, @@ -502,7 +502,7 @@ }, { "cell_type": "markdown", - "id": "278e53d1", + "id": "6b1dab41", "metadata": { "editable": true }, @@ -512,7 +512,7 @@ }, { "cell_type": "markdown", - "id": "6cecca90", + "id": "c62cad35", "metadata": { "editable": true }, @@ -523,7 +523,7 @@ }, { "cell_type": "markdown", - "id": "77835205", + "id": "1d208882", "metadata": { "editable": true }, @@ -543,7 +543,7 @@ }, { "cell_type": "markdown", - "id": "548d6967", + "id": "3d41a98a", "metadata": { "editable": true }, @@ -555,7 +555,7 @@ }, { "cell_type": "markdown", - "id": "ec9003b1", + "id": "bb9cb8ca", "metadata": { "editable": true }, @@ -570,7 +570,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "5abb7104", + "id": "c54c7909", "metadata": { "collapsed": false, "editable": true @@ -652,7 +652,7 @@ }, { "cell_type": "markdown", - "id": "61adbd61", + "id": "c6762b6e", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "57e0487c", + "id": "43e94006", "metadata": { "editable": true }, @@ -674,7 +674,7 @@ }, { "cell_type": "markdown", - "id": "12bd992c", + "id": "80030588", "metadata": { "editable": true }, @@ -684,7 +684,7 @@ }, { "cell_type": "markdown", - "id": "bb81673b", + "id": "431ef860", "metadata": { "editable": true }, @@ -695,7 +695,7 @@ }, { "cell_type": "markdown", - "id": "93b7fed6", + "id": "ebb5d63d", "metadata": { "editable": true }, @@ -707,7 +707,7 @@ }, { "cell_type": "markdown", - "id": "7506431f", + "id": "30ce5fe0", "metadata": { "editable": true }, @@ -717,7 +717,7 @@ }, { "cell_type": "markdown", - "id": "95521bfd", + "id": "b7e4d346", "metadata": { "editable": true }, @@ -729,7 +729,7 @@ }, { "cell_type": "markdown", - "id": "2da48fda", + "id": "b7ef3ce6", "metadata": { "editable": true }, @@ -739,7 +739,7 @@ }, { "cell_type": "markdown", - "id": "607bbf4c", + "id": "cb322b9f", "metadata": { "editable": true }, @@ -751,7 +751,7 @@ }, { "cell_type": "markdown", - "id": "64c079d0", + "id": "978ebd91", "metadata": { "editable": true }, @@ -764,7 +764,7 @@ }, { "cell_type": "markdown", - "id": "bc4d9af6", + "id": "c77c23b8", "metadata": { "editable": true }, @@ -776,7 +776,7 @@ }, { "cell_type": "markdown", - "id": "2c59634f", + "id": "4cf508f4", "metadata": { "editable": true }, @@ -786,7 +786,7 @@ }, { "cell_type": "markdown", - "id": "183f3f6f", + "id": "1b670763", "metadata": { "editable": true }, @@ -798,7 +798,7 @@ }, { "cell_type": "markdown", - "id": "07b11e25", + "id": "049f2da3", "metadata": { "editable": true }, @@ -810,7 +810,7 @@ }, { "cell_type": "markdown", - "id": "f79094b4", + "id": "9d5767f0", "metadata": { "editable": true }, @@ -821,7 +821,7 @@ }, { "cell_type": "markdown", - "id": "4691ba9a", + "id": "cc1dd113", "metadata": { "editable": true }, @@ -833,7 +833,7 @@ }, { "cell_type": "markdown", - "id": "d076c60f", + "id": "f92bbca5", "metadata": { "editable": true }, @@ -852,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "84f83182", + "id": "0e307db4", "metadata": { "editable": true }, @@ -865,7 +865,7 @@ }, { "cell_type": "markdown", - "id": "a1f6cdce", + "id": "2ef229f4", "metadata": { "editable": true }, @@ -875,7 +875,7 @@ }, { "cell_type": "markdown", - "id": "09163577", + "id": "615ccfb5", "metadata": { "editable": true }, @@ -887,7 +887,7 @@ }, { "cell_type": "markdown", - "id": "8ce0ba17", + "id": "681d5f43", "metadata": { "editable": true }, @@ -897,7 +897,7 @@ }, { "cell_type": "markdown", - "id": "36b1930d", + "id": "3c89dc99", "metadata": { "editable": true }, @@ -909,7 +909,7 @@ }, { "cell_type": "markdown", - "id": "41f37cd5", + "id": "7144d126", "metadata": { "editable": true }, @@ -919,7 +919,7 @@ }, { "cell_type": "markdown", - "id": "6906304a", + "id": "a54a264e", "metadata": { "editable": true }, @@ -931,7 +931,7 @@ }, { "cell_type": "markdown", - "id": "0ed086a8", + "id": "2fe5aed9", "metadata": { "editable": true }, @@ -942,7 +942,7 @@ }, { "cell_type": "markdown", - "id": "da28c229", + "id": "34d51e82", "metadata": { "editable": true }, @@ -954,7 +954,7 @@ }, { "cell_type": "markdown", - "id": "aef942cd", + "id": "37af8545", "metadata": { "editable": true }, @@ -964,7 +964,7 @@ }, { "cell_type": "markdown", - "id": "24c573c3", + "id": "8372636e", "metadata": { "editable": true }, @@ -976,7 +976,7 @@ }, { "cell_type": "markdown", - "id": "bb75ba94", + "id": "3a305ee5", "metadata": { "editable": true }, @@ -986,7 +986,7 @@ }, { "cell_type": "markdown", - "id": "bafdc467", + "id": "59c05362", "metadata": { "editable": true }, @@ -998,7 +998,7 @@ }, { "cell_type": "markdown", - "id": "02c71f25", + "id": "a4b80c16", "metadata": { "editable": true }, @@ -1019,7 +1019,7 @@ }, { "cell_type": "markdown", - "id": "12024d35", + "id": "1fa6bbf1", "metadata": { "editable": true }, @@ -1032,7 +1032,7 @@ }, { "cell_type": "markdown", - "id": "f23c21eb", + "id": "269664bf", "metadata": { "editable": true }, @@ -1044,7 +1044,7 @@ }, { "cell_type": "markdown", - "id": "8b875a40", + "id": "f4b5f0e7", "metadata": { "editable": true }, @@ -1056,7 +1056,7 @@ }, { "cell_type": "markdown", - "id": "d91c6ae1", + "id": "d22ed530", "metadata": { "editable": true }, @@ -1068,7 +1068,7 @@ }, { "cell_type": "markdown", - "id": "5ab5def6", + "id": "ae46ee44", "metadata": { "editable": true }, @@ -1080,7 +1080,7 @@ }, { "cell_type": "markdown", - "id": "8f581703", + "id": "269d8e04", "metadata": { "editable": true }, @@ -1090,7 +1090,7 @@ }, { "cell_type": "markdown", - "id": "e046326b", + "id": "3786d1e1", "metadata": { "editable": true }, @@ -1106,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "3ee12a09", + "id": "80bddf3b", "metadata": { "editable": true }, @@ -1118,7 +1118,7 @@ }, { "cell_type": "markdown", - "id": "6e917bd9", + "id": "a8e23f19", "metadata": { "editable": true }, @@ -1128,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "aec48b62", + "id": "fb0bdb65", "metadata": { "editable": true }, @@ -1140,7 +1140,7 @@ }, { "cell_type": "markdown", - "id": "57a7f05d", + "id": "c3481c2f", "metadata": { "editable": true }, @@ -1158,7 +1158,7 @@ }, { "cell_type": "markdown", - "id": "6dd2db1d", + "id": "4339a0d1", "metadata": { "editable": true }, @@ -1169,7 +1169,7 @@ }, { "cell_type": "markdown", - "id": "e1702da5", + "id": "fbd69f3b", "metadata": { "editable": true }, @@ -1181,7 +1181,7 @@ }, { "cell_type": "markdown", - "id": "7e187b03", + "id": "0401ac31", "metadata": { "editable": true }, @@ -1191,7 +1191,7 @@ }, { "cell_type": "markdown", - "id": "d84b152e", + "id": "28cbb448", "metadata": { "editable": true }, @@ -1203,7 +1203,7 @@ }, { "cell_type": "markdown", - "id": "c0a470a1", + "id": "aeb21a9e", "metadata": { "editable": true }, @@ -1213,7 +1213,7 @@ }, { "cell_type": "markdown", - "id": "2d816fc9", + "id": "29035dee", "metadata": { "editable": true }, @@ -1225,7 +1225,7 @@ }, { "cell_type": "markdown", - "id": "0abfb189", + "id": "deca2570", "metadata": { "editable": true }, @@ -1235,7 +1235,7 @@ }, { "cell_type": "markdown", - "id": "5ab49a08", + "id": "357912fe", "metadata": { "editable": true }, @@ -1249,7 +1249,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "fcd0a35f", + "id": "8012cf79", "metadata": { "collapsed": false, "editable": true @@ -1264,7 +1264,7 @@ }, { "cell_type": "markdown", - "id": "c3c93729", + "id": "6d316738", "metadata": { "editable": true }, @@ -1275,7 +1275,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "6c355c3c", + "id": "bee06c4a", "metadata": { "collapsed": false, "editable": true @@ -1288,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "cbf979ba", + "id": "f1dfea12", "metadata": { "editable": true }, @@ -1299,7 +1299,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "e2f93d48", + "id": "a03c5b85", "metadata": { "collapsed": false, "editable": true @@ -1322,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "7ebbf31d", + "id": "e2dac480", "metadata": { "editable": true }, @@ -1336,7 +1336,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "d9209d48", + "id": "79166742", "metadata": { "collapsed": false, "editable": true @@ -1349,7 +1349,7 @@ }, { "cell_type": "markdown", - "id": "f9325bb3", + "id": "20dde60f", "metadata": { "editable": true }, @@ -1360,7 +1360,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "4ccf9afd", + "id": "01ab99ca", "metadata": { "collapsed": false, "editable": true @@ -1372,7 +1372,7 @@ }, { "cell_type": "markdown", - "id": "7d3eaee3", + "id": "891550d6", "metadata": { "editable": true }, @@ -1383,7 +1383,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "c24c23c0", + "id": "3e065f17", "metadata": { "collapsed": false, "editable": true @@ -1399,7 +1399,7 @@ }, { "cell_type": "markdown", - "id": "f2ba2589", + "id": "100ec6f2", "metadata": { "editable": true }, @@ -1410,7 +1410,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "bebb791a", + "id": "87d7f1f2", "metadata": { "collapsed": false, "editable": true @@ -1424,7 +1424,7 @@ }, { "cell_type": "markdown", - "id": "f542a942", + "id": "ad15b86a", "metadata": { "editable": true }, @@ -1445,7 +1445,7 @@ }, { "cell_type": "markdown", - "id": "1a6ec81d", + "id": "5af39b51", "metadata": { "editable": true }, @@ -1456,7 +1456,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "09d0ac87", + "id": "e1260bea", "metadata": { "collapsed": false, "editable": true @@ -1505,7 +1505,7 @@ }, { "cell_type": "markdown", - "id": "c328154c", + "id": "3c8d5009", "metadata": { "editable": true }, @@ -1516,7 +1516,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "8d85acdf", + "id": "1fe4ef81", "metadata": { "collapsed": false, "editable": true @@ -1541,7 +1541,7 @@ }, { "cell_type": "markdown", - "id": "cd03dbbb", + "id": "f58e6f94", "metadata": { "editable": true }, @@ -1553,7 +1553,7 @@ }, { "cell_type": "markdown", - "id": "e77814c4", + "id": "5cfbc3dc", "metadata": { "editable": true }, @@ -1597,7 +1597,7 @@ }, { "cell_type": "markdown", - "id": "a7372bca", + "id": "687cb822", "metadata": { "editable": true }, @@ -1609,7 +1609,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "04730854", + "id": "3de27a23", "metadata": { "collapsed": false, "editable": true @@ -1625,7 +1625,7 @@ }, { "cell_type": "markdown", - "id": "0aa3b087", + "id": "bb1a7f10", "metadata": { "editable": true }, @@ -1636,7 +1636,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "3c65312b", + "id": "86ca3675", "metadata": { "collapsed": false, "editable": true @@ -1654,7 +1654,7 @@ }, { "cell_type": "markdown", - "id": "a76f99ad", + "id": "14d904f5", "metadata": { "editable": true }, @@ -1665,7 +1665,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "de5ca410", + "id": "35a92c94", "metadata": { "collapsed": false, "editable": true @@ -1679,7 +1679,7 @@ }, { "cell_type": "markdown", - "id": "76d80738", + "id": "19da77e9", "metadata": { "editable": true }, @@ -1690,7 +1690,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "046a4ae6", + "id": "82fd0800", "metadata": { "collapsed": false, "editable": true @@ -1703,7 +1703,7 @@ }, { "cell_type": "markdown", - "id": "375792ea", + "id": "c3814164", "metadata": { "editable": true }, @@ -1714,7 +1714,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "1dc39d4e", + "id": "653e9e39", "metadata": { "collapsed": false, "editable": true @@ -1731,7 +1731,7 @@ }, { "cell_type": "markdown", - "id": "c14bc062", + "id": "67046ae9", "metadata": { "editable": true }, @@ -1742,7 +1742,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "7cba1ad7", + "id": "a71686ba", "metadata": { "collapsed": false, "editable": true @@ -1758,7 +1758,7 @@ }, { "cell_type": "markdown", - "id": "ef198a86", + "id": "9d986a59", "metadata": { "editable": true }, @@ -1769,7 +1769,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "3d91586e", + "id": "67862d2b", "metadata": { "collapsed": false, "editable": true @@ -1793,7 +1793,7 @@ }, { "cell_type": "markdown", - "id": "9e8dc910", + "id": "84e8205c", "metadata": { "editable": true }, @@ -1804,7 +1804,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "00677847", + "id": "40c73365", "metadata": { "collapsed": false, "editable": true @@ -1817,7 +1817,7 @@ }, { "cell_type": "markdown", - "id": "8c37d94d", + "id": "42af9357", "metadata": { "editable": true }, @@ -1828,7 +1828,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "cdd2538e", + "id": "5ac4ed1a", "metadata": { "collapsed": false, "editable": true @@ -1848,7 +1848,7 @@ }, { "cell_type": "markdown", - "id": "60b7acd5", + "id": "c77fe699", "metadata": { "editable": true }, @@ -1859,7 +1859,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "b33fd06f", + "id": "9750dfdd", "metadata": { "collapsed": false, "editable": true @@ -1902,7 +1902,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "47ca4c8f", + "id": "549d1d5a", "metadata": { "collapsed": false, "editable": true @@ -1917,7 +1917,7 @@ }, { "cell_type": "markdown", - "id": "c3db007a", + "id": "775113b8", "metadata": { "editable": true }, @@ -1946,7 +1946,7 @@ }, { "cell_type": "markdown", - "id": "b2985ebe", + "id": "f7b80434", "metadata": { "editable": true }, @@ -1971,7 +1971,7 @@ }, { "cell_type": "markdown", - "id": "65576560", + "id": "db9f45ca", "metadata": { "editable": true }, @@ -1991,7 +1991,7 @@ }, { "cell_type": "markdown", - "id": "a809ec4e", + "id": "9b799a40", "metadata": { "editable": true }, @@ -2018,7 +2018,7 @@ }, { "cell_type": "markdown", - "id": "3e515e3d", + "id": "9f6edac0", "metadata": { "editable": true }, @@ -2031,7 +2031,7 @@ }, { "cell_type": "markdown", - "id": "0db8b636", + "id": "e61bcc11", "metadata": { "editable": true }, @@ -2043,7 +2043,7 @@ }, { "cell_type": "markdown", - "id": "14eba5bc", + "id": "b89a967c", "metadata": { "editable": true }, @@ -2054,7 +2054,7 @@ }, { "cell_type": "markdown", - "id": "6fead211", + "id": "2d8a0702", "metadata": { "editable": true }, @@ -2070,7 +2070,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "872d8073", + "id": "d80c96ad", "metadata": { "collapsed": false, "editable": true @@ -2104,7 +2104,7 @@ }, { "cell_type": "markdown", - "id": "a1f484ea", + "id": "89656519", "metadata": { "editable": true }, @@ -2114,7 +2114,7 @@ }, { "cell_type": "markdown", - "id": "bd4cfae6", + "id": "b7d6f157", "metadata": { "editable": true }, @@ -2129,7 +2129,7 @@ }, { "cell_type": "markdown", - "id": "36b60127", + "id": "3a6c58c4", "metadata": { "editable": true }, @@ -2141,7 +2141,7 @@ }, { "cell_type": "markdown", - "id": "6a9ae2ef", + "id": "45263afd", "metadata": { "editable": true }, @@ -2151,7 +2151,7 @@ }, { "cell_type": "markdown", - "id": "efd46684", + "id": "413d39a8", "metadata": { "editable": true }, @@ -2167,7 +2167,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "b77f7680", + "id": "b5620411", "metadata": { "collapsed": false, "editable": true @@ -2184,7 +2184,7 @@ }, { "cell_type": "markdown", - "id": "f2f3c0fe", + "id": "efcbc5e7", "metadata": { "editable": true }, @@ -2197,7 +2197,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "da11d449", + "id": "3c12ffb9", "metadata": { "collapsed": false, "editable": true @@ -2244,7 +2244,7 @@ }, { "cell_type": "markdown", - "id": "6b2a1ed8", + "id": "58a0ca2d", "metadata": { "editable": true }, @@ -2255,7 +2255,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "e0c660b1", + "id": "0743d8c1", "metadata": { "collapsed": false, "editable": true @@ -2358,7 +2358,7 @@ }, { "cell_type": "markdown", - "id": "156e25ff", + "id": "917b74a4", "metadata": { "editable": true }, @@ -2372,7 +2372,7 @@ }, { "cell_type": "markdown", - "id": "d115820a", + "id": "73873465", "metadata": { "editable": true }, @@ -2384,7 +2384,7 @@ }, { "cell_type": "markdown", - "id": "c57fcf4d", + "id": "285bd294", "metadata": { "editable": true }, @@ -2396,7 +2396,7 @@ }, { "cell_type": "markdown", - "id": "2440bb35", + "id": "17c611ea", "metadata": { "editable": true }, @@ -2408,7 +2408,7 @@ }, { "cell_type": "markdown", - "id": "12dbbecd", + "id": "a206cfbe", "metadata": { "editable": true }, @@ -2418,7 +2418,7 @@ }, { "cell_type": "markdown", - "id": "3e58405e", + "id": "1cbb36f4", "metadata": { "editable": true }, @@ -2430,7 +2430,7 @@ }, { "cell_type": "markdown", - "id": "2e8b43c7", + "id": "45fd237a", "metadata": { "editable": true }, @@ -2440,7 +2440,7 @@ }, { "cell_type": "markdown", - "id": "e4de4648", + "id": "4b34dfa3", "metadata": { "editable": true }, @@ -2452,7 +2452,7 @@ }, { "cell_type": "markdown", - "id": "9424e2d1", + "id": "3aa10499", "metadata": { "editable": true }, @@ -2463,7 +2463,7 @@ }, { "cell_type": "markdown", - "id": "70bacd26", + "id": "49786b42", "metadata": { "editable": true }, @@ -2475,7 +2475,7 @@ }, { "cell_type": "markdown", - "id": "ab2fb8b8", + "id": "45e1001d", "metadata": { "editable": true }, @@ -2487,7 +2487,7 @@ }, { "cell_type": "markdown", - "id": "245e12b0", + "id": "6b5685e2", "metadata": { "editable": true }, @@ -2497,7 +2497,7 @@ }, { "cell_type": "markdown", - "id": "267664a8", + "id": "785bf238", "metadata": { "editable": true }, @@ -2509,7 +2509,7 @@ }, { "cell_type": "markdown", - "id": "c627fad8", + "id": "d558cbbc", "metadata": { "editable": true }, @@ -2521,7 +2521,7 @@ }, { "cell_type": "markdown", - "id": "64796f37", + "id": "aa58dcee", "metadata": { "editable": true }, @@ -2531,7 +2531,7 @@ }, { "cell_type": "markdown", - "id": "a084bafc", + "id": "0fa6f68d", "metadata": { "editable": true }, @@ -2543,7 +2543,7 @@ }, { "cell_type": "markdown", - "id": "b2eaaad0", + "id": "8349b6f4", "metadata": { "editable": true }, @@ -2553,7 +2553,7 @@ }, { "cell_type": "markdown", - "id": "f4788748", + "id": "74dead3a", "metadata": { "editable": true }, @@ -2565,7 +2565,7 @@ }, { "cell_type": "markdown", - "id": "ba415091", + "id": "404ab49b", "metadata": { "editable": true }, @@ -2575,7 +2575,7 @@ }, { "cell_type": "markdown", - "id": "b1964e38", + "id": "fe3b72b1", "metadata": { "editable": true }, @@ -2615,7 +2615,7 @@ }, { "cell_type": "markdown", - "id": "49725444", + "id": "0363d2b8", "metadata": { "editable": true }, @@ -2632,7 +2632,7 @@ }, { "cell_type": "markdown", - "id": "5ef7666d", + "id": "cf28c0b4", "metadata": { "editable": true }, @@ -2655,7 +2655,7 @@ }, { "cell_type": "markdown", - "id": "992aa3ce", + "id": "d3c4c66a", "metadata": { "editable": true }, @@ -2672,7 +2672,7 @@ }, { "cell_type": "markdown", - "id": "11c7b238", + "id": "7cbabb4d", "metadata": { "editable": true }, @@ -2691,7 +2691,7 @@ }, { "cell_type": "markdown", - "id": "740e1618", + "id": "3987f011", "metadata": { "editable": true }, @@ -2702,7 +2702,7 @@ }, { "cell_type": "markdown", - "id": "79ce1e35", + "id": "7818b66c", "metadata": { "editable": true }, @@ -2714,7 +2714,7 @@ }, { "cell_type": "markdown", - "id": "4070baa4", + "id": "71d8721b", "metadata": { "editable": true }, @@ -2732,7 +2732,7 @@ }, { "cell_type": "markdown", - "id": "2d07f43a", + "id": "3faee964", "metadata": { "editable": true }, @@ -2748,7 +2748,7 @@ }, { "cell_type": "markdown", - "id": "8938ec4b", + "id": "fe55d58a", "metadata": { "editable": true }, @@ -2760,7 +2760,7 @@ }, { "cell_type": "markdown", - "id": "cb909ab5", + "id": "bb15532e", "metadata": { "editable": true }, @@ -2770,7 +2770,7 @@ }, { "cell_type": "markdown", - "id": "a0571c51", + "id": "03d4fe8b", "metadata": { "editable": true }, @@ -2785,7 +2785,7 @@ }, { "cell_type": "markdown", - "id": "2c997b6a", + "id": "9f4e2f0b", "metadata": { "editable": true }, @@ -2797,7 +2797,7 @@ }, { "cell_type": "markdown", - "id": "d83b2cc9", + "id": "02e6848e", "metadata": { "editable": true }, @@ -2807,7 +2807,7 @@ }, { "cell_type": "markdown", - "id": "a573ea0a", + "id": "76e018a3", "metadata": { "editable": true }, @@ -2819,7 +2819,7 @@ }, { "cell_type": "markdown", - "id": "33d90559", + "id": "1bb99107", "metadata": { "editable": true }, @@ -2829,7 +2829,7 @@ }, { "cell_type": "markdown", - "id": "4349a520", + "id": "ffeacb3c", "metadata": { "editable": true }, @@ -2841,7 +2841,7 @@ }, { "cell_type": "markdown", - "id": "2ae4ddff", + "id": "3e1de49a", "metadata": { "editable": true }, @@ -2853,7 +2853,7 @@ }, { "cell_type": "markdown", - "id": "9bba6280", + "id": "d7098f27", "metadata": { "editable": true }, @@ -2868,7 +2868,7 @@ }, { "cell_type": "markdown", - "id": "7d5abb4b", + "id": "b83148f5", "metadata": { "editable": true }, @@ -2879,7 +2879,7 @@ }, { "cell_type": "markdown", - "id": "3f9e01b4", + "id": "97101194", "metadata": { "editable": true }, @@ -2899,7 +2899,7 @@ }, { "cell_type": "markdown", - "id": "09542e97", + "id": "9917d29a", "metadata": { "editable": true }, @@ -2911,7 +2911,7 @@ }, { "cell_type": "markdown", - "id": "ff2f8768", + "id": "00cd8f11", "metadata": { "editable": true }, @@ -2921,7 +2921,7 @@ }, { "cell_type": "markdown", - "id": "9351c241", + "id": "95852993", "metadata": { "editable": true }, @@ -2933,7 +2933,7 @@ }, { "cell_type": "markdown", - "id": "ec042355", + "id": "e208307c", "metadata": { "editable": true }, @@ -2962,7 +2962,7 @@ }, { "cell_type": "markdown", - "id": "94b6dec8", + "id": "028dde7a", "metadata": { "editable": true }, @@ -2989,7 +2989,7 @@ }, { "cell_type": "markdown", - "id": "7cee5a8c", + "id": "b1f09742", "metadata": { "editable": true }, @@ -3000,7 +3000,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "4f050ddd", + "id": "81696929", "metadata": { "collapsed": false, "editable": true @@ -3040,7 +3040,7 @@ }, { "cell_type": "markdown", - "id": "293fcf74", + "id": "13fd6f7f", "metadata": { "editable": true }, @@ -3057,7 +3057,7 @@ }, { "cell_type": "markdown", - "id": "2676b02d", + "id": "5193d077", "metadata": { "editable": true }, @@ -3080,7 +3080,7 @@ }, { "cell_type": "markdown", - "id": "743b783c", + "id": "fca8be16", "metadata": { "editable": true }, @@ -3090,7 +3090,7 @@ }, { "cell_type": "markdown", - "id": "dec4505d", + "id": "54b7efd0", "metadata": { "editable": true }, @@ -3104,7 +3104,7 @@ }, { "cell_type": "markdown", - "id": "93a1d5c2", + "id": "56fd9063", "metadata": { "editable": true }, @@ -3123,7 +3123,7 @@ }, { "cell_type": "markdown", - "id": "d29080c4", + "id": "31f68c88", "metadata": { "editable": true }, @@ -3133,7 +3133,7 @@ }, { "cell_type": "markdown", - "id": "e8f267ee", + "id": "65688886", "metadata": { "editable": true }, @@ -3145,7 +3145,7 @@ }, { "cell_type": "markdown", - "id": "92adf48a", + "id": "ecb3f017", "metadata": { "editable": true }, @@ -3159,7 +3159,7 @@ }, { "cell_type": "markdown", - "id": "de298a6a", + "id": "e551a3b9", "metadata": { "editable": true }, @@ -3171,7 +3171,7 @@ }, { "cell_type": "markdown", - "id": "a6d46f19", + "id": "34653a79", "metadata": { "editable": true }, @@ -3181,7 +3181,7 @@ }, { "cell_type": "markdown", - "id": "509571f7", + "id": "ec0140fa", "metadata": { "editable": true }, @@ -3193,7 +3193,7 @@ }, { "cell_type": "markdown", - "id": "6885b6ea", + "id": "0d1e5724", "metadata": { "editable": true }, @@ -3210,7 +3210,7 @@ }, { "cell_type": "markdown", - "id": "2302fbfb", + "id": "b1d071f2", "metadata": { "editable": true }, @@ -3220,7 +3220,7 @@ }, { "cell_type": "markdown", - "id": "b362f0f4", + "id": "2490c9f4", "metadata": { "editable": true }, @@ -3236,7 +3236,7 @@ }, { "cell_type": "markdown", - "id": "22d35d5f", + "id": "508cb268", "metadata": { "editable": true }, @@ -3246,7 +3246,7 @@ }, { "cell_type": "markdown", - "id": "75c7f3f2", + "id": "d34dc2b0", "metadata": { "editable": true }, @@ -3262,7 +3262,7 @@ }, { "cell_type": "markdown", - "id": "8409f121", + "id": "0de3760c", "metadata": { "editable": true }, @@ -3272,7 +3272,7 @@ }, { "cell_type": "markdown", - "id": "9603ff24", + "id": "95d632fd", "metadata": { "editable": true }, @@ -3288,7 +3288,7 @@ }, { "cell_type": "markdown", - "id": "5fc191a0", + "id": "493b8bd1", "metadata": { "editable": true }, @@ -3298,7 +3298,7 @@ }, { "cell_type": "markdown", - "id": "7255cb43", + "id": "2a509528", "metadata": { "editable": true }, @@ -3315,7 +3315,7 @@ }, { "cell_type": "markdown", - "id": "dec99de0", + "id": "1e592019", "metadata": { "editable": true }, @@ -3327,7 +3327,7 @@ }, { "cell_type": "markdown", - "id": "e351b9f0", + "id": "6877c090", "metadata": { "editable": true }, @@ -3339,7 +3339,7 @@ }, { "cell_type": "markdown", - "id": "89eddebf", + "id": "2f033ce7", "metadata": { "editable": true }, @@ -3351,7 +3351,7 @@ }, { "cell_type": "markdown", - "id": "1d0c9017", + "id": "79988a07", "metadata": { "editable": true }, @@ -3361,7 +3361,7 @@ }, { "cell_type": "markdown", - "id": "3497aa8a", + "id": "5e71bcbf", "metadata": { "editable": true }, @@ -3373,7 +3373,7 @@ }, { "cell_type": "markdown", - "id": "f7bedbcb", + "id": "1108be81", "metadata": { "editable": true }, @@ -3385,7 +3385,7 @@ }, { "cell_type": "markdown", - "id": "2c724c07", + "id": "1943b9d1", "metadata": { "editable": true }, @@ -3397,7 +3397,7 @@ }, { "cell_type": "markdown", - "id": "a9e9ab79", + "id": "55e39e4a", "metadata": { "editable": true }, @@ -3407,7 +3407,7 @@ }, { "cell_type": "markdown", - "id": "8c7a614a", + "id": "73909c88", "metadata": { "editable": true }, @@ -3419,7 +3419,7 @@ }, { "cell_type": "markdown", - "id": "37db36b2", + "id": "2812c817", "metadata": { "editable": true }, @@ -3429,7 +3429,7 @@ }, { "cell_type": "markdown", - "id": "d82daff7", + "id": "48538812", "metadata": { "editable": true }, @@ -3441,7 +3441,7 @@ }, { "cell_type": "markdown", - "id": "eed4582f", + "id": "de02151b", "metadata": { "editable": true }, @@ -3451,7 +3451,7 @@ }, { "cell_type": "markdown", - "id": "29d72600", + "id": "0b19df7e", "metadata": { "editable": true }, @@ -3463,7 +3463,7 @@ }, { "cell_type": "markdown", - "id": "0207764b", + "id": "8b55a82e", "metadata": { "editable": true }, @@ -3473,7 +3473,7 @@ }, { "cell_type": "markdown", - "id": "64259290", + "id": "e526929d", "metadata": { "editable": true }, @@ -3485,7 +3485,7 @@ }, { "cell_type": "markdown", - "id": "7f3c0395", + "id": "2bea97bc", "metadata": { "editable": true }, @@ -3497,7 +3497,7 @@ }, { "cell_type": "markdown", - "id": "c6a0e82b", + "id": "7bdeda50", "metadata": { "editable": true }, @@ -3509,7 +3509,7 @@ }, { "cell_type": "markdown", - "id": "29d0b069", + "id": "50ee2144", "metadata": { "editable": true }, @@ -3521,7 +3521,7 @@ }, { "cell_type": "markdown", - "id": "58dc81e3", + "id": "e2aab7eb", "metadata": { "editable": true }, @@ -3531,7 +3531,7 @@ }, { "cell_type": "markdown", - "id": "9ebe192d", + "id": "3e564b87", "metadata": { "editable": true }, @@ -3543,7 +3543,7 @@ }, { "cell_type": "markdown", - "id": "e54503d5", + "id": "8a3b0f2a", "metadata": { "editable": true }, @@ -3554,7 +3554,7 @@ }, { "cell_type": "markdown", - "id": "152457d0", + "id": "1cb5f77b", "metadata": { "editable": true }, @@ -3566,7 +3566,7 @@ }, { "cell_type": "markdown", - "id": "254e6a38", + "id": "2a397ba2", "metadata": { "editable": true }, @@ -3576,7 +3576,7 @@ }, { "cell_type": "markdown", - "id": "75c7d636", + "id": "d19596ac", "metadata": { "editable": true }, @@ -3588,7 +3588,7 @@ }, { "cell_type": "markdown", - "id": "d5ed6964", + "id": "89e46e11", "metadata": { "editable": true }, @@ -3598,7 +3598,7 @@ }, { "cell_type": "markdown", - "id": "c81cfe2a", + "id": "9abac3d5", "metadata": { "editable": true }, @@ -3610,7 +3610,7 @@ }, { "cell_type": "markdown", - "id": "dfdc4e63", + "id": "16c98ce0", "metadata": { "editable": true }, @@ -3621,7 +3621,7 @@ }, { "cell_type": "markdown", - "id": "49c3de93", + "id": "45ae63f1", "metadata": { "editable": true }, @@ -3633,7 +3633,7 @@ }, { "cell_type": "markdown", - "id": "4a3993d0", + "id": "d7e81275", "metadata": { "editable": true }, @@ -3651,7 +3651,7 @@ }, { "cell_type": "markdown", - "id": "cdb5871e", + "id": "6dfacdc2", "metadata": { "editable": true }, @@ -3667,7 +3667,7 @@ }, { "cell_type": "markdown", - "id": "dc906135", + "id": "0a66f9fa", "metadata": { "editable": true }, @@ -3679,7 +3679,7 @@ }, { "cell_type": "markdown", - "id": "ff3c59c2", + "id": "7e48be7d", "metadata": { "editable": true }, @@ -3691,7 +3691,7 @@ }, { "cell_type": "markdown", - "id": "153d3ade", + "id": "1db598a9", "metadata": { "editable": true }, @@ -3703,7 +3703,7 @@ }, { "cell_type": "markdown", - "id": "f8a5ceba", + "id": "a0d5eda7", "metadata": { "editable": true }, @@ -3716,7 +3716,7 @@ }, { "cell_type": "markdown", - "id": "59d95d90", + "id": "c15e47f3", "metadata": { "editable": true }, @@ -3732,7 +3732,7 @@ }, { "cell_type": "markdown", - "id": "e2cca0ed", + "id": "753b7f2f", "metadata": { "editable": true }, @@ -3746,7 +3746,7 @@ }, { "cell_type": "markdown", - "id": "a84522dc", + "id": "f528c863", "metadata": { "editable": true }, @@ -3756,7 +3756,7 @@ }, { "cell_type": "markdown", - "id": "6dcd9513", + "id": "4e0361ff", "metadata": { "editable": true }, @@ -3768,7 +3768,7 @@ }, { "cell_type": "markdown", - "id": "dea95a0b", + "id": "fc540b17", "metadata": { "editable": true }, @@ -3778,7 +3778,7 @@ }, { "cell_type": "markdown", - "id": "bf1fa21a", + "id": "8a0d4017", "metadata": { "editable": true }, @@ -3790,7 +3790,7 @@ }, { "cell_type": "markdown", - "id": "0be308ea", + "id": "fc2d314b", "metadata": { "editable": true }, @@ -3800,7 +3800,7 @@ }, { "cell_type": "markdown", - "id": "a0be4200", + "id": "cc88f834", "metadata": { "editable": true }, @@ -3814,7 +3814,7 @@ }, { "cell_type": "markdown", - "id": "943b15a4", + "id": "7487e058", "metadata": { "editable": true }, @@ -3831,7 +3831,7 @@ }, { "cell_type": "markdown", - "id": "ce1c5681", + "id": "cb1bd80a", "metadata": { "editable": true }, @@ -3847,7 +3847,7 @@ }, { "cell_type": "markdown", - "id": "424237cd", + "id": "4472d945", "metadata": { "editable": true }, @@ -3859,7 +3859,7 @@ }, { "cell_type": "markdown", - "id": "d33cc682", + "id": "e26d80f8", "metadata": { "editable": true }, @@ -3872,7 +3872,7 @@ }, { "cell_type": "markdown", - "id": "1a1d22ac", + "id": "69595e2a", "metadata": { "editable": true }, @@ -3886,7 +3886,7 @@ }, { "cell_type": "markdown", - "id": "40b1483c", + "id": "edc66945", "metadata": { "editable": true }, @@ -3896,7 +3896,7 @@ }, { "cell_type": "markdown", - "id": "c4030cbe", + "id": "bfe319b4", "metadata": { "editable": true }, @@ -3909,7 +3909,7 @@ }, { "cell_type": "markdown", - "id": "d00852bc", + "id": "3888c823", "metadata": { "editable": true }, @@ -3928,7 +3928,7 @@ }, { "cell_type": "markdown", - "id": "57c29003", + "id": "ce09ad10", "metadata": { "editable": true }, @@ -3940,7 +3940,7 @@ }, { "cell_type": "markdown", - "id": "be9c1611", + "id": "bc5ea932", "metadata": { "editable": true }, @@ -3952,7 +3952,7 @@ }, { "cell_type": "markdown", - "id": "2bec1cfc", + "id": "19969afb", "metadata": { "editable": true }, @@ -3962,7 +3962,7 @@ }, { "cell_type": "markdown", - "id": "ec8d5e3b", + "id": "96a90bcb", "metadata": { "editable": true }, @@ -3974,7 +3974,7 @@ }, { "cell_type": "markdown", - "id": "8765ef1e", + "id": "49304eee", "metadata": { "editable": true }, @@ -3987,7 +3987,7 @@ }, { "cell_type": "markdown", - "id": "6c4356c4", + "id": "337fcd47", "metadata": { "editable": true }, @@ -4006,7 +4006,7 @@ }, { "cell_type": "markdown", - "id": "a4b34fdd", + "id": "edf6757c", "metadata": { "editable": true }, @@ -4016,7 +4016,7 @@ }, { "cell_type": "markdown", - "id": "6f9ab554", + "id": "864ba43f", "metadata": { "editable": true }, @@ -4035,7 +4035,7 @@ }, { "cell_type": "markdown", - "id": "5d1a2b88", + "id": "fa80ffee", "metadata": { "editable": true }, @@ -4053,7 +4053,7 @@ }, { "cell_type": "markdown", - "id": "306484cd", + "id": "67982391", "metadata": { "editable": true }, @@ -4067,7 +4067,7 @@ }, { "cell_type": "markdown", - "id": "7b531934", + "id": "4951738a", "metadata": { "editable": true }, @@ -4082,7 +4082,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "064b9db8", + "id": "db11ad7a", "metadata": { "collapsed": false, "editable": true @@ -4103,7 +4103,7 @@ }, { "cell_type": "markdown", - "id": "292afdc6", + "id": "86b1a5c5", "metadata": { "editable": true }, @@ -4120,7 +4120,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "6b08a6af", + "id": "24fe6e4a", "metadata": { "collapsed": false, "editable": true @@ -4152,7 +4152,7 @@ }, { "cell_type": "markdown", - "id": "1a98dfe0", + "id": "9d9956b1", "metadata": { "editable": true }, @@ -4166,7 +4166,7 @@ }, { "cell_type": "markdown", - "id": "9a3efb20", + "id": "217960ed", "metadata": { "editable": true }, @@ -4179,7 +4179,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "37dcdd4f", + "id": "d17ecfdd", "metadata": { "collapsed": false, "editable": true @@ -4204,7 +4204,7 @@ }, { "cell_type": "markdown", - "id": "689d72d0", + "id": "84fb2078", "metadata": { "editable": true }, @@ -4214,7 +4214,7 @@ }, { "cell_type": "markdown", - "id": "085cc30f", + "id": "927ce268", "metadata": { "editable": true }, @@ -4225,7 +4225,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "ae97081b", + "id": "b178d7de", "metadata": { "collapsed": false, "editable": true @@ -4279,7 +4279,7 @@ }, { "cell_type": "markdown", - "id": "20deeada", + "id": "6bbd6ca4", "metadata": { "editable": true }, @@ -4296,7 +4296,7 @@ }, { "cell_type": "markdown", - "id": "72a20d5c", + "id": "b0658ac3", "metadata": { "editable": true }, @@ -4308,7 +4308,7 @@ }, { "cell_type": "markdown", - "id": "81917422", + "id": "119e46d7", "metadata": { "editable": true }, @@ -4320,7 +4320,7 @@ }, { "cell_type": "markdown", - "id": "db2b946f", + "id": "e2b7a286", "metadata": { "editable": true }, @@ -4330,7 +4330,7 @@ }, { "cell_type": "markdown", - "id": "591ae318", + "id": "ca919f88", "metadata": { "editable": true }, @@ -4347,7 +4347,7 @@ }, { "cell_type": "markdown", - "id": "099d6f14", + "id": "53362be3", "metadata": { "editable": true }, @@ -4357,7 +4357,7 @@ }, { "cell_type": "markdown", - "id": "72d3486e", + "id": "05e863fd", "metadata": { "editable": true }, @@ -4372,7 +4372,7 @@ }, { "cell_type": "markdown", - "id": "479a0966", + "id": "28b6d9fe", "metadata": { "editable": true }, @@ -4382,7 +4382,7 @@ }, { "cell_type": "markdown", - "id": "2c03a0a6", + "id": "c3de65b3", "metadata": { "editable": true }, @@ -4396,7 +4396,7 @@ }, { "cell_type": "markdown", - "id": "6c7b03d3", + "id": "267447fd", "metadata": { "editable": true }, @@ -4408,7 +4408,7 @@ }, { "cell_type": "markdown", - "id": "030f2dea", + "id": "dc31c528", "metadata": { "editable": true }, @@ -4420,7 +4420,7 @@ }, { "cell_type": "markdown", - "id": "91248377", + "id": "8713a096", "metadata": { "editable": true }, @@ -4432,7 +4432,7 @@ }, { "cell_type": "markdown", - "id": "038a3c42", + "id": "d156a35e", "metadata": { "editable": true }, @@ -4442,7 +4442,7 @@ }, { "cell_type": "markdown", - "id": "815990db", + "id": "381a5756", "metadata": { "editable": true }, @@ -4454,7 +4454,7 @@ }, { "cell_type": "markdown", - "id": "302c55ed", + "id": "66b566bc", "metadata": { "editable": true }, @@ -4464,7 +4464,7 @@ }, { "cell_type": "markdown", - "id": "b95a336d", + "id": "646547cc", "metadata": { "editable": true }, @@ -4481,7 +4481,7 @@ }, { "cell_type": "markdown", - "id": "e006aab4", + "id": "6877840e", "metadata": { "editable": true }, @@ -4491,7 +4491,7 @@ }, { "cell_type": "markdown", - "id": "b07ec066", + "id": "8f296225", "metadata": { "editable": true }, @@ -4503,7 +4503,7 @@ }, { "cell_type": "markdown", - "id": "d3106874", + "id": "65b81425", "metadata": { "editable": true }, @@ -4513,7 +4513,7 @@ }, { "cell_type": "markdown", - "id": "b8b74aad", + "id": "193351fb", "metadata": { "editable": true }, @@ -4525,7 +4525,7 @@ }, { "cell_type": "markdown", - "id": "72fa4e65", + "id": "ad3f1c16", "metadata": { "editable": true }, @@ -4539,7 +4539,7 @@ }, { "cell_type": "markdown", - "id": "683df75e", + "id": "0c75e069", "metadata": { "editable": true }, @@ -4551,7 +4551,7 @@ }, { "cell_type": "markdown", - "id": "7461aaa8", + "id": "be31c078", "metadata": { "editable": true }, @@ -4573,7 +4573,7 @@ }, { "cell_type": "markdown", - "id": "17503298", + "id": "d24c7a22", "metadata": { "editable": true }, @@ -4585,7 +4585,7 @@ }, { "cell_type": "markdown", - "id": "33ec6f4b", + "id": "f6075e5a", "metadata": { "editable": true }, @@ -4600,7 +4600,7 @@ }, { "cell_type": "markdown", - "id": "c4b97c1c", + "id": "450c1e9b", "metadata": { "editable": true }, @@ -4612,7 +4612,7 @@ }, { "cell_type": "markdown", - "id": "ff48c3c1", + "id": "8c9e9846", "metadata": { "editable": true }, @@ -4624,7 +4624,7 @@ }, { "cell_type": "markdown", - "id": "ea2f990b", + "id": "7ac854c9", "metadata": { "editable": true }, @@ -4634,7 +4634,7 @@ }, { "cell_type": "markdown", - "id": "bb8c7a22", + "id": "1761f170", "metadata": { "editable": true }, @@ -4646,7 +4646,7 @@ }, { "cell_type": "markdown", - "id": "44f7cfbd", + "id": "bcd9f2da", "metadata": { "editable": true }, @@ -4656,7 +4656,7 @@ }, { "cell_type": "markdown", - "id": "a213bcf8", + "id": "c0b3e6e6", "metadata": { "editable": true }, @@ -4668,7 +4668,7 @@ }, { "cell_type": "markdown", - "id": "558ec4c5", + "id": "553aad57", "metadata": { "editable": true }, @@ -4678,7 +4678,7 @@ }, { "cell_type": "markdown", - "id": "3b3a19f7", + "id": "5407aaf0", "metadata": { "editable": true }, @@ -4690,7 +4690,7 @@ }, { "cell_type": "markdown", - "id": "78576030", + "id": "fafa997b", "metadata": { "editable": true }, @@ -4707,7 +4707,7 @@ }, { "cell_type": "markdown", - "id": "78f5c77f", + "id": "01dd9842", "metadata": { "editable": true }, @@ -4720,7 +4720,7 @@ }, { "cell_type": "markdown", - "id": "ef673c93", + "id": "87141ef0", "metadata": { "editable": true }, @@ -4732,7 +4732,7 @@ }, { "cell_type": "markdown", - "id": "4401a837", + "id": "384017a1", "metadata": { "editable": true }, @@ -4742,7 +4742,7 @@ }, { "cell_type": "markdown", - "id": "09c51111", + "id": "52153930", "metadata": { "editable": true }, @@ -4755,7 +4755,7 @@ }, { "cell_type": "markdown", - "id": "d28d8e53", + "id": "38d8db8b", "metadata": { "editable": true }, @@ -4765,7 +4765,7 @@ }, { "cell_type": "markdown", - "id": "b6eab7ad", + "id": "e4403327", "metadata": { "editable": true }, @@ -4777,7 +4777,7 @@ }, { "cell_type": "markdown", - "id": "f14c01f6", + "id": "fb0e87a8", "metadata": { "editable": true }, @@ -4790,7 +4790,7 @@ }, { "cell_type": "markdown", - "id": "ce7b0ce0", + "id": "a58dc15b", "metadata": { "editable": true }, @@ -4803,7 +4803,7 @@ }, { "cell_type": "markdown", - "id": "46ded5d2", + "id": "19d763ec", "metadata": { "editable": true }, @@ -4815,7 +4815,7 @@ }, { "cell_type": "markdown", - "id": "a00b3f4a", + "id": "f75cef1e", "metadata": { "editable": true }, @@ -4827,7 +4827,7 @@ }, { "cell_type": "markdown", - "id": "2f7ff546", + "id": "73181b9a", "metadata": { "editable": true }, @@ -4837,7 +4837,7 @@ }, { "cell_type": "markdown", - "id": "03420f51", + "id": "3868fe1a", "metadata": { "editable": true }, @@ -4850,7 +4850,7 @@ }, { "cell_type": "markdown", - "id": "9ff83db8", + "id": "fdf24693", "metadata": { "editable": true }, @@ -4862,7 +4862,7 @@ }, { "cell_type": "markdown", - "id": "c6b08280", + "id": "0f0641ef", "metadata": { "editable": true }, @@ -4874,7 +4874,7 @@ }, { "cell_type": "markdown", - "id": "3609a076", + "id": "ce709f61", "metadata": { "editable": true }, @@ -4886,7 +4886,7 @@ }, { "cell_type": "markdown", - "id": "182e62e0", + "id": "19d3fea1", "metadata": { "editable": true }, @@ -4898,7 +4898,7 @@ }, { "cell_type": "markdown", - "id": "dd5aeb56", + "id": "bd56ae46", "metadata": { "editable": true }, @@ -4912,7 +4912,7 @@ }, { "cell_type": "markdown", - "id": "9200f452", + "id": "b84a7f09", "metadata": { "editable": true }, @@ -4924,7 +4924,7 @@ }, { "cell_type": "markdown", - "id": "4612c65b", + "id": "890d20e4", "metadata": { "editable": true }, @@ -4934,7 +4934,7 @@ }, { "cell_type": "markdown", - "id": "cacea39c", + "id": "5fb59408", "metadata": { "editable": true }, @@ -4946,7 +4946,7 @@ }, { "cell_type": "markdown", - "id": "cf414c20", + "id": "e1aa2d60", "metadata": { "editable": true }, @@ -4958,7 +4958,7 @@ }, { "cell_type": "markdown", - "id": "c9144823", + "id": "b1506860", "metadata": { "editable": true }, @@ -4970,7 +4970,7 @@ }, { "cell_type": "markdown", - "id": "9b5d80fb", + "id": "8e586b2d", "metadata": { "editable": true }, @@ -4982,7 +4982,7 @@ }, { "cell_type": "markdown", - "id": "d758e670", + "id": "1ec2a565", "metadata": { "editable": true }, @@ -4994,7 +4994,7 @@ }, { "cell_type": "markdown", - "id": "2b1ec8a5", + "id": "e405a401", "metadata": { "editable": true }, @@ -5013,7 +5013,7 @@ }, { "cell_type": "markdown", - "id": "87756e5a", + "id": "bbf09caa", "metadata": { "editable": true }, @@ -5025,7 +5025,7 @@ }, { "cell_type": "markdown", - "id": "9fd238b4", + "id": "253011fb", "metadata": { "editable": true }, @@ -5035,7 +5035,7 @@ }, { "cell_type": "markdown", - "id": "0048b9cc", + "id": "250004fb", "metadata": { "editable": true }, @@ -5047,7 +5047,7 @@ }, { "cell_type": "markdown", - "id": "def13092", + "id": "f15c86a6", "metadata": { "editable": true }, @@ -5057,7 +5057,7 @@ }, { "cell_type": "markdown", - "id": "9f5ca82b", + "id": "7eaf4508", "metadata": { "editable": true }, @@ -5069,7 +5069,7 @@ }, { "cell_type": "markdown", - "id": "63d448a0", + "id": "42aefdc5", "metadata": { "editable": true }, @@ -5081,7 +5081,7 @@ }, { "cell_type": "markdown", - "id": "8bca2630", + "id": "515082f6", "metadata": { "editable": true }, @@ -5097,7 +5097,7 @@ }, { "cell_type": "markdown", - "id": "d776399b", + "id": "4fbad402", "metadata": { "editable": true }, @@ -5109,7 +5109,7 @@ }, { "cell_type": "markdown", - "id": "3f6d299f", + "id": "f08747ad", "metadata": { "editable": true }, @@ -5121,7 +5121,7 @@ }, { "cell_type": "markdown", - "id": "e4395bf1", + "id": "646b912f", "metadata": { "editable": true }, @@ -5131,7 +5131,7 @@ }, { "cell_type": "markdown", - "id": "bceb461f", + "id": "26d93973", "metadata": { "editable": true }, @@ -5143,7 +5143,7 @@ }, { "cell_type": "markdown", - "id": "67ea9d42", + "id": "755abe71", "metadata": { "editable": true }, @@ -5153,7 +5153,7 @@ }, { "cell_type": "markdown", - "id": "857317af", + "id": "7b8ed067", "metadata": { "editable": true }, @@ -5165,7 +5165,7 @@ }, { "cell_type": "markdown", - "id": "59bb1fd4", + "id": "6748ac2e", "metadata": { "editable": true }, @@ -5182,7 +5182,7 @@ }, { "cell_type": "markdown", - "id": "ae8b8d25", + "id": "1982f315", "metadata": { "editable": true }, @@ -5194,7 +5194,7 @@ }, { "cell_type": "markdown", - "id": "1cd9eb20", + "id": "766e995a", "metadata": { "editable": true }, @@ -5206,7 +5206,7 @@ }, { "cell_type": "markdown", - "id": "557ef610", + "id": "4833d595", "metadata": { "editable": true }, @@ -5216,7 +5216,7 @@ }, { "cell_type": "markdown", - "id": "01773b43", + "id": "e3221bd6", "metadata": { "editable": true }, @@ -5228,7 +5228,7 @@ }, { "cell_type": "markdown", - "id": "44b9514b", + "id": "30bee1bc", "metadata": { "editable": true }, @@ -5238,7 +5238,7 @@ }, { "cell_type": "markdown", - "id": "2895e5a5", + "id": "fd5b21ea", "metadata": { "editable": true }, @@ -5250,7 +5250,7 @@ }, { "cell_type": "markdown", - "id": "ed99f11a", + "id": "4dce6697", "metadata": { "editable": true }, @@ -5260,7 +5260,7 @@ }, { "cell_type": "markdown", - "id": "b5970b8b", + "id": "844026d6", "metadata": { "editable": true }, @@ -5272,7 +5272,7 @@ }, { "cell_type": "markdown", - "id": "155c8423", + "id": "e0ae01c2", "metadata": { "editable": true }, @@ -5282,7 +5282,7 @@ }, { "cell_type": "markdown", - "id": "0ab3c414", + "id": "ddf70a91", "metadata": { "editable": true }, @@ -5294,7 +5294,7 @@ }, { "cell_type": "markdown", - "id": "a3442c85", + "id": "aa7b3e3b", "metadata": { "editable": true }, @@ -5363,7 +5363,7 @@ }, { "cell_type": "markdown", - "id": "80e823c3", + "id": "880ce20e", "metadata": { "editable": true }, @@ -5377,7 +5377,7 @@ { "cell_type": "code", "execution_count": 31, - "id": "aa004be4", + "id": "2f692ed1", "metadata": { "collapsed": false, "editable": true @@ -5390,7 +5390,7 @@ }, { "cell_type": "markdown", - "id": "98e21fb2", + "id": "b56e0dba", "metadata": { "editable": true }, @@ -5404,7 +5404,7 @@ }, { "cell_type": "markdown", - "id": "3038d687", + "id": "d6dd0d49", "metadata": { "editable": true }, @@ -5417,7 +5417,7 @@ }, { "cell_type": "markdown", - "id": "4e3c7a5f", + "id": "6b221469", "metadata": { "editable": true }, @@ -5428,7 +5428,7 @@ }, { "cell_type": "markdown", - "id": "842050ee", + "id": "b924ab7e", "metadata": { "editable": true }, @@ -5440,7 +5440,7 @@ }, { "cell_type": "markdown", - "id": "0a976aa7", + "id": "9521823d", "metadata": { "editable": true }, @@ -5450,7 +5450,7 @@ }, { "cell_type": "markdown", - "id": "2371904d", + "id": "b961d40f", "metadata": { "editable": true }, @@ -5462,7 +5462,7 @@ }, { "cell_type": "markdown", - "id": "ed750fc4", + "id": "093f88bc", "metadata": { "editable": true }, @@ -5478,7 +5478,7 @@ { "cell_type": "code", "execution_count": 32, - "id": "26423b3c", + "id": "6a0ed6cb", "metadata": { "collapsed": false, "editable": true @@ -5529,7 +5529,7 @@ }, { "cell_type": "markdown", - "id": "f0ab1737", + "id": "fe904acc", "metadata": { "editable": true }, @@ -5539,7 +5539,7 @@ }, { "cell_type": "markdown", - "id": "23d3ca29", + "id": "f3e12b7e", "metadata": { "editable": true }, @@ -5585,7 +5585,7 @@ { "cell_type": "code", "execution_count": 33, - "id": "935f468a", + "id": "05d1137a", "metadata": { "collapsed": false, "editable": true @@ -5598,7 +5598,7 @@ }, { "cell_type": "markdown", - "id": "db93b38b", + "id": "594e709b", "metadata": { "editable": true }, @@ -5609,7 +5609,7 @@ { "cell_type": "code", "execution_count": 34, - "id": "7ddc1ebd", + "id": "9626dd32", "metadata": { "collapsed": false, "editable": true @@ -5624,7 +5624,7 @@ }, { "cell_type": "markdown", - "id": "0ad222ec", + "id": "75ed16c9", "metadata": { "editable": true }, @@ -5642,7 +5642,7 @@ { "cell_type": "code", "execution_count": 35, - "id": "d76c2705", + "id": "30d70675", "metadata": { "collapsed": false, "editable": true @@ -5659,7 +5659,7 @@ }, { "cell_type": "markdown", - "id": "88e92bb0", + "id": "6e42cae4", "metadata": { "editable": true }, @@ -5669,7 +5669,7 @@ }, { "cell_type": "markdown", - "id": "d652c015", + "id": "9907ba24", "metadata": { "editable": true }, @@ -5680,7 +5680,7 @@ }, { "cell_type": "markdown", - "id": "c6b2080b", + "id": "5587ce25", "metadata": { "editable": true }, @@ -5691,7 +5691,7 @@ }, { "cell_type": "markdown", - "id": "1f93fbf0", + "id": "53a6db4d", "metadata": { "editable": true }, @@ -5702,7 +5702,7 @@ }, { "cell_type": "markdown", - "id": "d5d59e9d", + "id": "9a040d76", "metadata": { "editable": true }, @@ -5725,7 +5725,7 @@ { "cell_type": "code", "execution_count": 36, - "id": "437efab5", + "id": "3e80a5ee", "metadata": { "collapsed": false, "editable": true @@ -5738,7 +5738,7 @@ }, { "cell_type": "markdown", - "id": "e2665247", + "id": "2cef3fe8", "metadata": { "editable": true }, @@ -5753,7 +5753,7 @@ { "cell_type": "code", "execution_count": 37, - "id": "648cbb86", + "id": "49ba1ea1", "metadata": { "collapsed": false, "editable": true @@ -5833,7 +5833,7 @@ }, { "cell_type": "markdown", - "id": "bb7930ec", + "id": "5019f4e6", "metadata": { "editable": true }, @@ -5848,7 +5848,7 @@ }, { "cell_type": "markdown", - "id": "2159db71", + "id": "2f4479f3", "metadata": { "editable": true }, @@ -5861,7 +5861,7 @@ }, { "cell_type": "markdown", - "id": "d9bb1429", + "id": "eb28380e", "metadata": { "editable": true }, @@ -5872,7 +5872,7 @@ }, { "cell_type": "markdown", - "id": "b833546b", + "id": "b2827da7", "metadata": { "editable": true }, @@ -5884,7 +5884,7 @@ }, { "cell_type": "markdown", - "id": "3a654872", + "id": "5c63aa90", "metadata": { "editable": true }, @@ -5894,7 +5894,7 @@ }, { "cell_type": "markdown", - "id": "6f31d9e2", + "id": "46142811", "metadata": { "editable": true }, @@ -5906,7 +5906,7 @@ }, { "cell_type": "markdown", - "id": "c323b67f", + "id": "ede26bf8", "metadata": { "editable": true }, @@ -5916,7 +5916,7 @@ }, { "cell_type": "markdown", - "id": "12c44692", + "id": "b481411b", "metadata": { "editable": true }, @@ -5938,7 +5938,7 @@ }, { "cell_type": "markdown", - "id": "c5587d68", + "id": "8677a146", "metadata": { "editable": true }, @@ -5950,7 +5950,7 @@ }, { "cell_type": "markdown", - "id": "b492c983", + "id": "808b68a2", "metadata": { "editable": true }, @@ -5960,19 +5960,19 @@ }, { "cell_type": "markdown", - "id": "e43d7889", + "id": "f7ef7734", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial (\\boldsymbol{a}^T\\boldsymbol{A}\\boldsymbol{a})}{\\partial \\boldsymbol{a}} = (\\boldsymbol{A}+\\boldsymbol{A}^T)\\boldsymbol{a},\n", + "\\frac{\\partial (\\boldsymbol{a}^T\\boldsymbol{A}\\boldsymbol{a})}{\\partial \\boldsymbol{a}} = \\boldsymbol{a}^T(\\boldsymbol{A}+\\boldsymbol{A}^T),\n", "$$" ] }, { "cell_type": "markdown", - "id": "4b6775ee", + "id": "25dfe546", "metadata": { "editable": true }, @@ -5982,7 +5982,7 @@ }, { "cell_type": "markdown", - "id": "b8fe4b9c", + "id": "51cad13c", "metadata": { "editable": true }, @@ -5994,7 +5994,7 @@ }, { "cell_type": "markdown", - "id": "755757b9", + "id": "aece39d0", "metadata": { "editable": true }, @@ -6007,7 +6007,7 @@ }, { "cell_type": "markdown", - "id": "c82bb331", + "id": "5614a548", "metadata": { "editable": true }, @@ -6019,7 +6019,7 @@ }, { "cell_type": "markdown", - "id": "2212f891", + "id": "2cb664d9", "metadata": { "editable": true }, @@ -6029,7 +6029,7 @@ }, { "cell_type": "markdown", - "id": "880fe5f9", + "id": "2bd7a242", "metadata": { "editable": true }, @@ -6041,7 +6041,7 @@ }, { "cell_type": "markdown", - "id": "e146650c", + "id": "037cd29e", "metadata": { "editable": true }, @@ -6051,7 +6051,7 @@ }, { "cell_type": "markdown", - "id": "848282a1", + "id": "fe768f3b", "metadata": { "editable": true }, @@ -6063,7 +6063,7 @@ }, { "cell_type": "markdown", - "id": "27b79219", + "id": "811411b8", "metadata": { "editable": true }, @@ -6073,7 +6073,7 @@ }, { "cell_type": "markdown", - "id": "79692b71", + "id": "d4720773", "metadata": { "editable": true }, diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt index 9f19bf8b2..f6f2508e5 100644 --- a/doc/src/week35/week35.do.txt +++ b/doc/src/week35/week35.do.txt @@ -2915,7 +2915,7 @@ Show that and !bt \[ -\frac{\partial (\bm{a}^T\bm{A}\bm{a})}{\partial \bm{a}} = (\bm{A}+\bm{A}^T)\bm{a}, +\frac{\partial (\bm{a}^T\bm{A}\bm{a})}{\partial \bm{a}} = \bm{a}^T(\bm{A}+\bm{A}^T), \] !et and @@ -2953,3 +2953,5 @@ and written out in terms of the vector $\bm{x}$ we have \frac{\partial f(\bm{x})}{\partial \bm{x}}= \bm{A}. \] !et + +