This quantity defines was what is called the Hessian matrix (the second derivative of a function we want to optimize).
diff --git a/doc/pub/week35/html/._week35-bs058.html b/doc/pub/week35/html/._week35-bs058.html index f52640fb5..b6bab24dc 100644 --- a/doc/pub/week35/html/._week35-bs058.html +++ b/doc/pub/week35/html/._week35-bs058.html @@ -405,7 +405,7 @@ with a factor \( 1/(n-1) \). This is called Scikit-Learn or nunmpy's function calculate the covariance, this +Scikit-Learn or nunmpy's function to calculate the covariance, this quantity will be computed with a factor \( 1/(n-1) \). diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html index 43267a8e9..0f1fa52af 100644 --- a/doc/pub/week35/html/week35-solarized.html +++ b/doc/pub/week35/html/week35-solarized.html @@ -2823,7 +2823,7 @@ function, that is we have $$ -\frac{\partial^2 C(\boldsymbol{\beta})}{\partial \boldsymbol{\beta}^T\partial \boldsymbol{\beta}} =\frac{2}{n}\boldsymbol{X}^T\boldsymbol{X}. +\frac{\partial^2 C(\boldsymbol{\beta})}{\partial \boldsymbol{\beta}\partial \boldsymbol{\beta}^T} =\frac{2}{n}\boldsymbol{X}^T\boldsymbol{X}. $$This quantity defines was what is called the Hessian matrix (the second derivative of a function we want to optimize).
@@ -2879,7 +2879,7 @@ with a factor \( 1/(n-1) \). This is called Scikit-Learn or nunmpy's function calculate the covariance, this +Scikit-Learn or nunmpy's function to calculate the covariance, this quantity will be computed with a factor \( 1/(n-1) \). diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz index 6d899cd18..75552ed8f 100644 Binary files a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz and b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz differ diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb index baa97aaf4..6c23bf707 100644 --- a/doc/pub/week35/ipynb/week35.ipynb +++ b/doc/pub/week35/ipynb/week35.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7577bda1", + "id": "be53b5a0", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "2f58994e", + "id": "ea9aa8ba", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "984a751a", + "id": "1682c283", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "b85fab3f", + "id": "06e8536b", "metadata": { "editable": true }, @@ -65,7 +65,7 @@ }, { "cell_type": "markdown", - "id": "6156ea7b", + "id": "78f54d26", "metadata": { "editable": true }, @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "b3a257b8", + "id": "94c25631", "metadata": { "editable": true }, @@ -115,7 +115,7 @@ }, { "cell_type": "markdown", - "id": "d409d413", + "id": "a42b88dc", "metadata": { "editable": true }, @@ -127,7 +127,7 @@ }, { "cell_type": "markdown", - "id": "92019658", + "id": "3171d71c", "metadata": { "editable": true }, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "98b024de", + "id": "e70f9acc", "metadata": { "editable": true }, @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "f08b4dcd", + "id": "2379d06d", "metadata": { "editable": true }, @@ -170,7 +170,7 @@ }, { "cell_type": "markdown", - "id": "12b17f2d", + "id": "643717b0", "metadata": { "editable": true }, @@ -182,7 +182,7 @@ }, { "cell_type": "markdown", - "id": "d7bb3d6a", + "id": "378c280f", "metadata": { "editable": true }, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "6e628309", + "id": "e52a2672", "metadata": { "editable": true }, @@ -207,7 +207,7 @@ }, { "cell_type": "markdown", - "id": "b8e38e10", + "id": "cce68c3d", "metadata": { "editable": true }, @@ -219,7 +219,7 @@ }, { "cell_type": "markdown", - "id": "9e391414", + "id": "f8c11724", "metadata": { "editable": true }, @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "20b2a848", + "id": "a139ab45", "metadata": { "editable": true }, @@ -241,7 +241,7 @@ }, { "cell_type": "markdown", - "id": "8ba76773", + "id": "089dec59", "metadata": { "editable": true }, @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "78a49ebf", + "id": "570e9155", "metadata": { "editable": true }, @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "b6562367", + "id": "2c6cbd01", "metadata": { "editable": true }, @@ -276,7 +276,7 @@ }, { "cell_type": "markdown", - "id": "3fdcc186", + "id": "daaf53c3", "metadata": { "editable": true }, @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "a0a15628", + "id": "186a0c23", "metadata": { "editable": true }, @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "ad1e37fe", + "id": "e83c76fe", "metadata": { "editable": true }, @@ -311,7 +311,7 @@ }, { "cell_type": "markdown", - "id": "bfc33b62", + "id": "48869faa", "metadata": { "editable": true }, @@ -323,7 +323,7 @@ }, { "cell_type": "markdown", - "id": "05d1562e", + "id": "09ef84bc", "metadata": { "editable": true }, @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "2615bb43", + "id": "a3573593", "metadata": { "editable": true }, @@ -355,7 +355,7 @@ }, { "cell_type": "markdown", - "id": "4c278d09", + "id": "0cf80555", "metadata": { "editable": true }, @@ -365,7 +365,7 @@ }, { "cell_type": "markdown", - "id": "4362df64", + "id": "9a5943d2", "metadata": { "editable": true }, @@ -377,7 +377,7 @@ }, { "cell_type": "markdown", - "id": "c9d3f7d2", + "id": "614492f6", "metadata": { "editable": true }, @@ -387,7 +387,7 @@ }, { "cell_type": "markdown", - "id": "5bdc470d", + "id": "e151cfa1", "metadata": { "editable": true }, @@ -399,7 +399,7 @@ }, { "cell_type": "markdown", - "id": "ae831fa3", + "id": "1e2877d6", "metadata": { "editable": true }, @@ -409,7 +409,7 @@ }, { "cell_type": "markdown", - "id": "28e87953", + "id": "62ea2b3f", "metadata": { "editable": true }, @@ -421,7 +421,7 @@ }, { "cell_type": "markdown", - "id": "2e1444b7", + "id": "8b2e0f0e", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "a2b49226", + "id": "08983f5f", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "d7e1556d", + "id": "0220251b", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "4015b0da", + "id": "d80df328", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "289d01ec", + "id": "838e6fcc", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "4c084023", + "id": "49bab4db", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "9e0db3c9", + "id": "a9f8042e", "metadata": { "editable": true }, @@ -508,7 +508,7 @@ }, { "cell_type": "markdown", - "id": "32ac6fde", + "id": "41a2f792", "metadata": { "editable": true }, @@ -535,7 +535,7 @@ }, { "cell_type": "markdown", - "id": "adcd3708", + "id": "2cd68700", "metadata": { "editable": true }, @@ -547,7 +547,7 @@ }, { "cell_type": "markdown", - "id": "1187bf5d", + "id": "45e00b5c", "metadata": { "editable": true }, @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "51e56bc5", + "id": "0d8f4073", "metadata": { "editable": true }, @@ -575,7 +575,7 @@ }, { "cell_type": "markdown", - "id": "1198e0f1", + "id": "32b84460", "metadata": { "editable": true }, @@ -593,7 +593,7 @@ }, { "cell_type": "markdown", - "id": "88ee3246", + "id": "b1603479", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ }, { "cell_type": "markdown", - "id": "5c8002e1", + "id": "6b964217", "metadata": { "editable": true }, @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "64f56d8b", + "id": "ef7da021", "metadata": { "editable": true }, @@ -628,7 +628,7 @@ }, { "cell_type": "markdown", - "id": "436eb900", + "id": "f36afc00", "metadata": { "editable": true }, @@ -640,7 +640,7 @@ }, { "cell_type": "markdown", - "id": "1f93191d", + "id": "c86b67b1", "metadata": { "editable": true }, @@ -650,7 +650,7 @@ }, { "cell_type": "markdown", - "id": "88a779b0", + "id": "9f824fc3", "metadata": { "editable": true }, @@ -662,7 +662,7 @@ }, { "cell_type": "markdown", - "id": "dadd9b73", + "id": "13294ac7", "metadata": { "editable": true }, @@ -676,7 +676,7 @@ }, { "cell_type": "markdown", - "id": "81a3d747", + "id": "d7e5700e", "metadata": { "editable": true }, @@ -688,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "97d69ab9", + "id": "1f1b9622", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ }, { "cell_type": "markdown", - "id": "eb053306", + "id": "d22ff920", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ }, { "cell_type": "markdown", - "id": "2cafbbd7", + "id": "308eae89", "metadata": { "editable": true }, @@ -722,7 +722,7 @@ }, { "cell_type": "markdown", - "id": "359b9cab", + "id": "69df69e0", "metadata": { "editable": true }, @@ -734,7 +734,7 @@ }, { "cell_type": "markdown", - "id": "bba294f8", + "id": "989c0888", "metadata": { "editable": true }, @@ -746,7 +746,7 @@ }, { "cell_type": "markdown", - "id": "26084341", + "id": "796e59d4", "metadata": { "editable": true }, @@ -758,7 +758,7 @@ }, { "cell_type": "markdown", - "id": "4bfeb04f", + "id": "0ecc2fbb", "metadata": { "editable": true }, @@ -772,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "d6251d99", + "id": "7f541061", "metadata": { "editable": true }, @@ -784,7 +784,7 @@ }, { "cell_type": "markdown", - "id": "260ddc35", + "id": "150fcbf6", "metadata": { "editable": true }, @@ -796,7 +796,7 @@ }, { "cell_type": "markdown", - "id": "1f4eda24", + "id": "27b04c69", "metadata": { "editable": true }, @@ -808,7 +808,7 @@ }, { "cell_type": "markdown", - "id": "6e23b4e8", + "id": "9d121c2b", "metadata": { "editable": true }, @@ -818,7 +818,7 @@ }, { "cell_type": "markdown", - "id": "6978c685", + "id": "de64d430", "metadata": { "editable": true }, @@ -830,7 +830,7 @@ }, { "cell_type": "markdown", - "id": "0e872773", + "id": "60392be8", "metadata": { "editable": true }, @@ -840,7 +840,7 @@ }, { "cell_type": "markdown", - "id": "25f9231f", + "id": "3eeb0762", "metadata": { "editable": true }, @@ -852,7 +852,7 @@ }, { "cell_type": "markdown", - "id": "67715022", + "id": "5acbe964", "metadata": { "editable": true }, @@ -862,7 +862,7 @@ }, { "cell_type": "markdown", - "id": "8a045d81", + "id": "a5e67241", "metadata": { "editable": true }, @@ -874,7 +874,7 @@ }, { "cell_type": "markdown", - "id": "3a570fb6", + "id": "d80219d2", "metadata": { "editable": true }, @@ -886,7 +886,7 @@ }, { "cell_type": "markdown", - "id": "3649bf07", + "id": "7ec6b553", "metadata": { "editable": true }, @@ -898,7 +898,7 @@ }, { "cell_type": "markdown", - "id": "36191007", + "id": "bcd2cdff", "metadata": { "editable": true }, @@ -913,7 +913,7 @@ }, { "cell_type": "markdown", - "id": "2f0ccff1", + "id": "7160434b", "metadata": { "editable": true }, @@ -925,7 +925,7 @@ }, { "cell_type": "markdown", - "id": "5ad5a1f9", + "id": "ae1d7aa6", "metadata": { "editable": true }, @@ -935,7 +935,7 @@ }, { "cell_type": "markdown", - "id": "f2894537", + "id": "5ced56fe", "metadata": { "editable": true }, @@ -947,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "db94de78", + "id": "78444018", "metadata": { "editable": true }, @@ -957,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "aea39aca", + "id": "4207abea", "metadata": { "editable": true }, @@ -969,7 +969,7 @@ }, { "cell_type": "markdown", - "id": "bc220993", + "id": "5ca388cb", "metadata": { "editable": true }, @@ -979,7 +979,7 @@ }, { "cell_type": "markdown", - "id": "3d04bd63", + "id": "76bcca31", "metadata": { "editable": true }, @@ -991,7 +991,7 @@ }, { "cell_type": "markdown", - "id": "d82cae70", + "id": "72a7c5d6", "metadata": { "editable": true }, @@ -1003,7 +1003,7 @@ }, { "cell_type": "markdown", - "id": "4abb369d", + "id": "8ddd5a6c", "metadata": { "editable": true }, @@ -1015,7 +1015,7 @@ }, { "cell_type": "markdown", - "id": "9e36ffb6", + "id": "4ce22956", "metadata": { "editable": true }, @@ -1025,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "6639866c", + "id": "7a7a8220", "metadata": { "editable": true }, @@ -1037,7 +1037,7 @@ }, { "cell_type": "markdown", - "id": "f509d862", + "id": "660f5feb", "metadata": { "editable": true }, @@ -1050,7 +1050,7 @@ }, { "cell_type": "markdown", - "id": "a151fb3a", + "id": "35130b19", "metadata": { "editable": true }, @@ -1062,7 +1062,7 @@ }, { "cell_type": "markdown", - "id": "5c393665", + "id": "43929a90", "metadata": { "editable": true }, @@ -1072,7 +1072,7 @@ }, { "cell_type": "markdown", - "id": "fff34d82", + "id": "b9484098", "metadata": { "editable": true }, @@ -1084,7 +1084,7 @@ }, { "cell_type": "markdown", - "id": "cd0739ee", + "id": "a8366c58", "metadata": { "editable": true }, @@ -1094,7 +1094,7 @@ }, { "cell_type": "markdown", - "id": "3e3c1eb2", + "id": "22ff6985", "metadata": { "editable": true }, @@ -1106,7 +1106,7 @@ }, { "cell_type": "markdown", - "id": "a2462961", + "id": "8129f022", "metadata": { "editable": true }, @@ -1116,7 +1116,7 @@ }, { "cell_type": "markdown", - "id": "bb3ecaaa", + "id": "d8ff6bb2", "metadata": { "editable": true }, @@ -1128,7 +1128,7 @@ }, { "cell_type": "markdown", - "id": "48423fd4", + "id": "c8f81b3f", "metadata": { "editable": true }, @@ -1138,7 +1138,7 @@ }, { "cell_type": "markdown", - "id": "4605744e", + "id": "69af2c51", "metadata": { "editable": true }, @@ -1150,7 +1150,7 @@ }, { "cell_type": "markdown", - "id": "1d2566d1", + "id": "c9e254ef", "metadata": { "editable": true }, @@ -1160,7 +1160,7 @@ }, { "cell_type": "markdown", - "id": "041a2cd3", + "id": "b1377365", "metadata": { "editable": true }, @@ -1172,7 +1172,7 @@ }, { "cell_type": "markdown", - "id": "4376380c", + "id": "52258121", "metadata": { "editable": true }, @@ -1184,7 +1184,7 @@ }, { "cell_type": "markdown", - "id": "22ff508a", + "id": "7785c30e", "metadata": { "editable": true }, @@ -1196,7 +1196,7 @@ }, { "cell_type": "markdown", - "id": "55d8ced5", + "id": "ba371063", "metadata": { "editable": true }, @@ -1208,7 +1208,7 @@ }, { "cell_type": "markdown", - "id": "bab2bcb0", + "id": "905ad22c", "metadata": { "editable": true }, @@ -1220,7 +1220,7 @@ }, { "cell_type": "markdown", - "id": "9d2d479d", + "id": "0f770989", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "071a9f00", + "id": "c4c4d825", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "f080cd68", + "id": "bca9faf0", "metadata": { "editable": true }, @@ -1258,7 +1258,7 @@ }, { "cell_type": "markdown", - "id": "113143ab", + "id": "678d6d8d", "metadata": { "editable": true }, @@ -1270,7 +1270,7 @@ }, { "cell_type": "markdown", - "id": "3ec7da1f", + "id": "9f18b73a", "metadata": { "editable": true }, @@ -1288,7 +1288,7 @@ }, { "cell_type": "markdown", - "id": "45ef802b", + "id": "a738b78b", "metadata": { "editable": true }, @@ -1300,7 +1300,7 @@ }, { "cell_type": "markdown", - "id": "b0ae87b4", + "id": "c4325fac", "metadata": { "editable": true }, @@ -1312,7 +1312,7 @@ }, { "cell_type": "markdown", - "id": "2e05e4cd", + "id": "d32fe699", "metadata": { "editable": true }, @@ -1322,7 +1322,7 @@ }, { "cell_type": "markdown", - "id": "0f916a45", + "id": "bdabaf26", "metadata": { "editable": true }, @@ -1334,7 +1334,7 @@ }, { "cell_type": "markdown", - "id": "fb292357", + "id": "1a13e693", "metadata": { "editable": true }, @@ -1344,7 +1344,7 @@ }, { "cell_type": "markdown", - "id": "d560a000", + "id": "b26dc6ec", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "f112cba6", + "id": "f42cbab8", "metadata": { "editable": true }, @@ -1366,7 +1366,7 @@ }, { "cell_type": "markdown", - "id": "b74c63a9", + "id": "a73bb0ea", "metadata": { "editable": true }, @@ -1380,7 +1380,7 @@ }, { "cell_type": "markdown", - "id": "65bbad29", + "id": "c1c8da9d", "metadata": { "editable": true }, @@ -1392,7 +1392,7 @@ }, { "cell_type": "markdown", - "id": "881bc42f", + "id": "2ca0aef5", "metadata": { "editable": true }, @@ -1403,7 +1403,7 @@ }, { "cell_type": "markdown", - "id": "580a86e0", + "id": "d18683ee", "metadata": { "editable": true }, @@ -1416,7 +1416,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "5ab57679", + "id": "a4ea6710", "metadata": { "collapsed": false, "editable": true @@ -1443,7 +1443,7 @@ }, { "cell_type": "markdown", - "id": "ea4bd54b", + "id": "6fb0024c", "metadata": { "editable": true }, @@ -1454,7 +1454,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "9a384f3b", + "id": "72a80735", "metadata": { "collapsed": false, "editable": true @@ -1467,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "76aab9da", + "id": "3768a40c", "metadata": { "editable": true }, @@ -1481,7 +1481,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "74a5da7d", + "id": "d5af18c7", "metadata": { "collapsed": false, "editable": true @@ -1494,7 +1494,7 @@ }, { "cell_type": "markdown", - "id": "a9b3c131", + "id": "92c5153f", "metadata": { "editable": true }, @@ -1505,7 +1505,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "f6cd6c32", + "id": "09511b52", "metadata": { "collapsed": false, "editable": true @@ -1517,7 +1517,7 @@ }, { "cell_type": "markdown", - "id": "44a68a85", + "id": "d92d6b51", "metadata": { "editable": true }, @@ -1528,7 +1528,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "00287e4f", + "id": "4e16843d", "metadata": { "collapsed": false, "editable": true @@ -1544,7 +1544,7 @@ }, { "cell_type": "markdown", - "id": "50c01b79", + "id": "acef1cf8", "metadata": { "editable": true }, @@ -1555,7 +1555,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "311db3ab", + "id": "11d5e613", "metadata": { "collapsed": false, "editable": true @@ -1569,7 +1569,7 @@ }, { "cell_type": "markdown", - "id": "e0d346fd", + "id": "216b1096", "metadata": { "editable": true }, @@ -1590,7 +1590,7 @@ }, { "cell_type": "markdown", - "id": "147ef91e", + "id": "8fa67728", "metadata": { "editable": true }, @@ -1601,7 +1601,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "6707a4db", + "id": "28c9c5f2", "metadata": { "collapsed": false, "editable": true @@ -1654,7 +1654,7 @@ }, { "cell_type": "markdown", - "id": "455d14ce", + "id": "97af1cca", "metadata": { "editable": true }, @@ -1665,7 +1665,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "526cd78a", + "id": "e4ca68c4", "metadata": { "collapsed": false, "editable": true @@ -1690,7 +1690,7 @@ }, { "cell_type": "markdown", - "id": "a60215de", + "id": "16a219af", "metadata": { "editable": true }, @@ -1702,7 +1702,7 @@ }, { "cell_type": "markdown", - "id": "a46a7630", + "id": "d99baccc", "metadata": { "editable": true }, @@ -1731,7 +1731,7 @@ }, { "cell_type": "markdown", - "id": "674d374b", + "id": "382627de", "metadata": { "editable": true }, @@ -1756,7 +1756,7 @@ }, { "cell_type": "markdown", - "id": "baeb079c", + "id": "dbe9c5e7", "metadata": { "editable": true }, @@ -1776,7 +1776,7 @@ }, { "cell_type": "markdown", - "id": "cb3a3371", + "id": "76afa0fa", "metadata": { "editable": true }, @@ -1803,7 +1803,7 @@ }, { "cell_type": "markdown", - "id": "4de3b3d6", + "id": "7a3ee226", "metadata": { "editable": true }, @@ -1816,7 +1816,7 @@ }, { "cell_type": "markdown", - "id": "b14ecb9f", + "id": "a3b3ad3e", "metadata": { "editable": true }, @@ -1828,7 +1828,7 @@ }, { "cell_type": "markdown", - "id": "9ac3aa36", + "id": "5c0f36af", "metadata": { "editable": true }, @@ -1839,7 +1839,7 @@ }, { "cell_type": "markdown", - "id": "56f36ee9", + "id": "3de5eca9", "metadata": { "editable": true }, @@ -1855,7 +1855,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "167ea26b", + "id": "e836c1eb", "metadata": { "collapsed": false, "editable": true @@ -1889,7 +1889,7 @@ }, { "cell_type": "markdown", - "id": "fdf2d4d8", + "id": "03c9b6b3", "metadata": { "editable": true }, @@ -1899,7 +1899,7 @@ }, { "cell_type": "markdown", - "id": "aae3e78a", + "id": "ecabe53c", "metadata": { "editable": true }, @@ -1914,7 +1914,7 @@ }, { "cell_type": "markdown", - "id": "e1b73f82", + "id": "daa74ff5", "metadata": { "editable": true }, @@ -1926,7 +1926,7 @@ }, { "cell_type": "markdown", - "id": "796edd11", + "id": "4bf5d4cc", "metadata": { "editable": true }, @@ -1936,7 +1936,7 @@ }, { "cell_type": "markdown", - "id": "7316c9ad", + "id": "bff437d3", "metadata": { "editable": true }, @@ -1952,7 +1952,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "95995d2e", + "id": "e4815d9d", "metadata": { "collapsed": false, "editable": true @@ -1969,7 +1969,7 @@ }, { "cell_type": "markdown", - "id": "f22540c4", + "id": "ac106c70", "metadata": { "editable": true }, @@ -1982,7 +1982,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "beabe048", + "id": "b3b4d1c5", "metadata": { "collapsed": false, "editable": true @@ -2029,7 +2029,7 @@ }, { "cell_type": "markdown", - "id": "5c668e12", + "id": "588605a3", "metadata": { "editable": true }, @@ -2040,7 +2040,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "3b36f302", + "id": "eac5c19b", "metadata": { "collapsed": false, "editable": true @@ -2143,7 +2143,7 @@ }, { "cell_type": "markdown", - "id": "5c92044f", + "id": "e09cfcf0", "metadata": { "editable": true }, @@ -2171,7 +2171,7 @@ }, { "cell_type": "markdown", - "id": "85314a61", + "id": "2bbf93a9", "metadata": { "editable": true }, @@ -2206,7 +2206,7 @@ }, { "cell_type": "markdown", - "id": "b314c1bb", + "id": "51f3121a", "metadata": { "editable": true }, @@ -2221,7 +2221,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "d6fc1b8a", + "id": "e5bfd742", "metadata": { "collapsed": false, "editable": true @@ -2246,7 +2246,7 @@ }, { "cell_type": "markdown", - "id": "09f8edc9", + "id": "61e91fe1", "metadata": { "editable": true }, @@ -2262,7 +2262,7 @@ }, { "cell_type": "markdown", - "id": "4c1fa1f8", + "id": "02fa2126", "metadata": { "editable": true }, @@ -2274,7 +2274,7 @@ }, { "cell_type": "markdown", - "id": "7e4999d3", + "id": "c5ea5b96", "metadata": { "editable": true }, @@ -2289,7 +2289,7 @@ }, { "cell_type": "markdown", - "id": "c3316efa", + "id": "6dbfbe9a", "metadata": { "editable": true }, @@ -2301,7 +2301,7 @@ }, { "cell_type": "markdown", - "id": "d61e55f2", + "id": "e3318d8a", "metadata": { "editable": true }, @@ -2311,7 +2311,7 @@ }, { "cell_type": "markdown", - "id": "c4cdc607", + "id": "7a7f2bb0", "metadata": { "editable": true }, @@ -2323,7 +2323,7 @@ }, { "cell_type": "markdown", - "id": "977f0ee7", + "id": "7b9072eb", "metadata": { "editable": true }, @@ -2333,7 +2333,7 @@ }, { "cell_type": "markdown", - "id": "cba7a885", + "id": "fb9fc6af", "metadata": { "editable": true }, @@ -2345,7 +2345,7 @@ }, { "cell_type": "markdown", - "id": "d0b8d2c4", + "id": "5b1d9bae", "metadata": { "editable": true }, @@ -2358,7 +2358,7 @@ }, { "cell_type": "markdown", - "id": "5bb6c52f", + "id": "aa9d7398", "metadata": { "editable": true }, @@ -2370,7 +2370,7 @@ }, { "cell_type": "markdown", - "id": "15d60b36", + "id": "1ba94b15", "metadata": { "editable": true }, @@ -2380,7 +2380,7 @@ }, { "cell_type": "markdown", - "id": "c09def6d", + "id": "2c91f4b9", "metadata": { "editable": true }, @@ -2392,7 +2392,7 @@ }, { "cell_type": "markdown", - "id": "75385062", + "id": "f227a642", "metadata": { "editable": true }, @@ -2402,7 +2402,7 @@ }, { "cell_type": "markdown", - "id": "85490229", + "id": "744d6fcc", "metadata": { "editable": true }, @@ -2414,7 +2414,7 @@ }, { "cell_type": "markdown", - "id": "0ea2efcc", + "id": "c07272e6", "metadata": { "editable": true }, @@ -2424,7 +2424,7 @@ }, { "cell_type": "markdown", - "id": "1cd99c24", + "id": "28b1cf18", "metadata": { "editable": true }, @@ -2436,7 +2436,7 @@ }, { "cell_type": "markdown", - "id": "e40f46ea", + "id": "d9e5287b", "metadata": { "editable": true }, @@ -2446,7 +2446,7 @@ }, { "cell_type": "markdown", - "id": "7898f91b", + "id": "d2b5ee59", "metadata": { "editable": true }, @@ -2458,7 +2458,7 @@ }, { "cell_type": "markdown", - "id": "684197d4", + "id": "ae591a22", "metadata": { "editable": true }, @@ -2468,7 +2468,7 @@ }, { "cell_type": "markdown", - "id": "3e1e2b1c", + "id": "bbb4efc5", "metadata": { "editable": true }, @@ -2480,7 +2480,7 @@ }, { "cell_type": "markdown", - "id": "538de526", + "id": "76c37a89", "metadata": { "editable": true }, @@ -2490,7 +2490,7 @@ }, { "cell_type": "markdown", - "id": "e996dff2", + "id": "ac78f014", "metadata": { "editable": true }, @@ -2502,7 +2502,7 @@ }, { "cell_type": "markdown", - "id": "b42651a5", + "id": "01c57df2", "metadata": { "editable": true }, @@ -2514,7 +2514,7 @@ }, { "cell_type": "markdown", - "id": "3ba0968a", + "id": "5c77be60", "metadata": { "editable": true }, @@ -2526,7 +2526,7 @@ }, { "cell_type": "markdown", - "id": "8eaff46a", + "id": "7448d02c", "metadata": { "editable": true }, @@ -2539,7 +2539,7 @@ }, { "cell_type": "markdown", - "id": "c417449e", + "id": "6b16f287", "metadata": { "editable": true }, @@ -2551,7 +2551,7 @@ }, { "cell_type": "markdown", - "id": "72e2f493", + "id": "d6f810af", "metadata": { "editable": true }, @@ -2561,7 +2561,7 @@ }, { "cell_type": "markdown", - "id": "c93a45ca", + "id": "6b506524", "metadata": { "editable": true }, @@ -2575,7 +2575,7 @@ { "cell_type": "code", "execution_count": 14, - "id": "b3681d9a", + "id": "d39358da", "metadata": { "collapsed": false, "editable": true @@ -2672,7 +2672,7 @@ }, { "cell_type": "markdown", - "id": "b5f66b2e", + "id": "1c2292c1", "metadata": { "editable": true }, @@ -2693,7 +2693,7 @@ }, { "cell_type": "markdown", - "id": "e15e9033", + "id": "1fa67201", "metadata": { "editable": true }, @@ -2705,7 +2705,7 @@ }, { "cell_type": "markdown", - "id": "0a46c80f", + "id": "137f3aa8", "metadata": { "editable": true }, @@ -2715,7 +2715,7 @@ }, { "cell_type": "markdown", - "id": "9665a7bb", + "id": "b5fd0444", "metadata": { "editable": true }, @@ -2727,7 +2727,7 @@ }, { "cell_type": "markdown", - "id": "39245662", + "id": "04e6de19", "metadata": { "editable": true }, @@ -2737,7 +2737,7 @@ }, { "cell_type": "markdown", - "id": "949b0425", + "id": "2cd0f6df", "metadata": { "editable": true }, @@ -2749,7 +2749,7 @@ }, { "cell_type": "markdown", - "id": "25265f0a", + "id": "f833976e", "metadata": { "editable": true }, @@ -2765,7 +2765,7 @@ }, { "cell_type": "markdown", - "id": "37309898", + "id": "0526f8a3", "metadata": { "editable": true }, @@ -2809,7 +2809,7 @@ }, { "cell_type": "markdown", - "id": "313c63b9", + "id": "132ef74f", "metadata": { "editable": true }, @@ -2821,7 +2821,7 @@ { "cell_type": "code", "execution_count": 15, - "id": "c85aaed0", + "id": "25ecbae5", "metadata": { "collapsed": false, "editable": true @@ -2837,7 +2837,7 @@ }, { "cell_type": "markdown", - "id": "cb66e4d4", + "id": "dd07b613", "metadata": { "editable": true }, @@ -2848,7 +2848,7 @@ { "cell_type": "code", "execution_count": 16, - "id": "018dcf23", + "id": "217c66c6", "metadata": { "collapsed": false, "editable": true @@ -2866,7 +2866,7 @@ }, { "cell_type": "markdown", - "id": "733a4641", + "id": "a74cd412", "metadata": { "editable": true }, @@ -2877,7 +2877,7 @@ { "cell_type": "code", "execution_count": 17, - "id": "3d092054", + "id": "7252d534", "metadata": { "collapsed": false, "editable": true @@ -2891,7 +2891,7 @@ }, { "cell_type": "markdown", - "id": "721cd730", + "id": "9bc51de3", "metadata": { "editable": true }, @@ -2902,7 +2902,7 @@ { "cell_type": "code", "execution_count": 18, - "id": "8d6060bb", + "id": "5209e335", "metadata": { "collapsed": false, "editable": true @@ -2915,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "756d6e73", + "id": "2f7e2bce", "metadata": { "editable": true }, @@ -2926,7 +2926,7 @@ { "cell_type": "code", "execution_count": 19, - "id": "29bde3bc", + "id": "f40dddbb", "metadata": { "collapsed": false, "editable": true @@ -2943,7 +2943,7 @@ }, { "cell_type": "markdown", - "id": "71b1deab", + "id": "4c784974", "metadata": { "editable": true }, @@ -2954,7 +2954,7 @@ { "cell_type": "code", "execution_count": 20, - "id": "b2f69544", + "id": "f41e4472", "metadata": { "collapsed": false, "editable": true @@ -2970,7 +2970,7 @@ }, { "cell_type": "markdown", - "id": "1785df9d", + "id": "ddbe7e53", "metadata": { "editable": true }, @@ -2981,7 +2981,7 @@ { "cell_type": "code", "execution_count": 21, - "id": "69c203fc", + "id": "fb697c78", "metadata": { "collapsed": false, "editable": true @@ -3005,7 +3005,7 @@ }, { "cell_type": "markdown", - "id": "5662334d", + "id": "e9883aae", "metadata": { "editable": true }, @@ -3016,7 +3016,7 @@ { "cell_type": "code", "execution_count": 22, - "id": "e595038c", + "id": "3b54b6a2", "metadata": { "collapsed": false, "editable": true @@ -3029,7 +3029,7 @@ }, { "cell_type": "markdown", - "id": "9445dd2f", + "id": "787c8475", "metadata": { "editable": true }, @@ -3040,7 +3040,7 @@ { "cell_type": "code", "execution_count": 23, - "id": "92dbf123", + "id": "c88e54a9", "metadata": { "collapsed": false, "editable": true @@ -3060,7 +3060,7 @@ }, { "cell_type": "markdown", - "id": "e12a5f00", + "id": "6facc9e0", "metadata": { "editable": true }, @@ -3071,7 +3071,7 @@ { "cell_type": "code", "execution_count": 24, - "id": "febeaf82", + "id": "0fe2de24", "metadata": { "collapsed": false, "editable": true @@ -3114,7 +3114,7 @@ { "cell_type": "code", "execution_count": 25, - "id": "c07aa9ac", + "id": "33e2f09a", "metadata": { "collapsed": false, "editable": true @@ -3129,7 +3129,7 @@ }, { "cell_type": "markdown", - "id": "0cd41c03", + "id": "7af3d057", "metadata": { "editable": true }, @@ -3139,7 +3139,7 @@ }, { "cell_type": "markdown", - "id": "bd868c50", + "id": "c5cc4ff1", "metadata": { "editable": true }, @@ -3153,7 +3153,7 @@ }, { "cell_type": "markdown", - "id": "65fb290e", + "id": "e187c407", "metadata": { "editable": true }, @@ -3165,7 +3165,7 @@ }, { "cell_type": "markdown", - "id": "463f75e0", + "id": "80c1e1d2", "metadata": { "editable": true }, @@ -3177,7 +3177,7 @@ }, { "cell_type": "markdown", - "id": "b0b45b31", + "id": "d08c63a8", "metadata": { "editable": true }, @@ -3189,7 +3189,7 @@ }, { "cell_type": "markdown", - "id": "9f88e79e", + "id": "e4199d04", "metadata": { "editable": true }, @@ -3199,7 +3199,7 @@ }, { "cell_type": "markdown", - "id": "4f7242ca", + "id": "1cd0a12a", "metadata": { "editable": true }, @@ -3211,7 +3211,7 @@ }, { "cell_type": "markdown", - "id": "a6e63461", + "id": "c4de93ba", "metadata": { "editable": true }, @@ -3221,7 +3221,7 @@ }, { "cell_type": "markdown", - "id": "29b9afea", + "id": "27136288", "metadata": { "editable": true }, @@ -3233,7 +3233,7 @@ }, { "cell_type": "markdown", - "id": "082571e4", + "id": "a088b960", "metadata": { "editable": true }, @@ -3244,7 +3244,7 @@ }, { "cell_type": "markdown", - "id": "6ec2b7ca", + "id": "1a02ddbb", "metadata": { "editable": true }, @@ -3256,7 +3256,7 @@ }, { "cell_type": "markdown", - "id": "e6a5f733", + "id": "ed18d091", "metadata": { "editable": true }, @@ -3268,7 +3268,7 @@ }, { "cell_type": "markdown", - "id": "d56a3f53", + "id": "3d5b79af", "metadata": { "editable": true }, @@ -3278,7 +3278,7 @@ }, { "cell_type": "markdown", - "id": "3947d992", + "id": "dda4570b", "metadata": { "editable": true }, @@ -3290,7 +3290,7 @@ }, { "cell_type": "markdown", - "id": "84faa9d9", + "id": "11d8d3e3", "metadata": { "editable": true }, @@ -3302,7 +3302,7 @@ }, { "cell_type": "markdown", - "id": "db86df7f", + "id": "46901f0f", "metadata": { "editable": true }, @@ -3312,7 +3312,7 @@ }, { "cell_type": "markdown", - "id": "d78105c6", + "id": "9189fcdb", "metadata": { "editable": true }, @@ -3324,7 +3324,7 @@ }, { "cell_type": "markdown", - "id": "ec1aa593", + "id": "90000eee", "metadata": { "editable": true }, @@ -3334,7 +3334,7 @@ }, { "cell_type": "markdown", - "id": "f34bef40", + "id": "e82d1f9c", "metadata": { "editable": true }, @@ -3346,7 +3346,7 @@ }, { "cell_type": "markdown", - "id": "ceaf9a9e", + "id": "072720c0", "metadata": { "editable": true }, @@ -3356,7 +3356,7 @@ }, { "cell_type": "markdown", - "id": "ab1d059d", + "id": "dd15f44d", "metadata": { "editable": true }, @@ -3396,7 +3396,7 @@ }, { "cell_type": "markdown", - "id": "ad796da6", + "id": "6fb5a31f", "metadata": { "editable": true }, @@ -3413,7 +3413,7 @@ }, { "cell_type": "markdown", - "id": "df8c83cc", + "id": "179c61b1", "metadata": { "editable": true }, @@ -3436,7 +3436,7 @@ }, { "cell_type": "markdown", - "id": "410aac9c", + "id": "5c43a81e", "metadata": { "editable": true }, @@ -3453,7 +3453,7 @@ }, { "cell_type": "markdown", - "id": "c8b42e28", + "id": "29134082", "metadata": { "editable": true }, @@ -3472,7 +3472,7 @@ }, { "cell_type": "markdown", - "id": "9696acb0", + "id": "8ef42f32", "metadata": { "editable": true }, @@ -3483,7 +3483,7 @@ }, { "cell_type": "markdown", - "id": "6402cd93", + "id": "076c58c7", "metadata": { "editable": true }, @@ -3495,7 +3495,7 @@ }, { "cell_type": "markdown", - "id": "7aa90576", + "id": "04db202f", "metadata": { "editable": true }, @@ -3513,7 +3513,7 @@ }, { "cell_type": "markdown", - "id": "8d9194f3", + "id": "b60cb6b5", "metadata": { "editable": true }, @@ -3529,7 +3529,7 @@ }, { "cell_type": "markdown", - "id": "fa1477f5", + "id": "d29615f2", "metadata": { "editable": true }, @@ -3541,7 +3541,7 @@ }, { "cell_type": "markdown", - "id": "5aad52f5", + "id": "1f2c3f1e", "metadata": { "editable": true }, @@ -3551,7 +3551,7 @@ }, { "cell_type": "markdown", - "id": "67a7edc8", + "id": "759ab85a", "metadata": { "editable": true }, @@ -3566,7 +3566,7 @@ }, { "cell_type": "markdown", - "id": "50428ec4", + "id": "4538c162", "metadata": { "editable": true }, @@ -3578,7 +3578,7 @@ }, { "cell_type": "markdown", - "id": "8f8769e8", + "id": "a5617e01", "metadata": { "editable": true }, @@ -3588,7 +3588,7 @@ }, { "cell_type": "markdown", - "id": "51a88b15", + "id": "fe0b46d4", "metadata": { "editable": true }, @@ -3600,7 +3600,7 @@ }, { "cell_type": "markdown", - "id": "2b7cc475", + "id": "7695cd6a", "metadata": { "editable": true }, @@ -3610,7 +3610,7 @@ }, { "cell_type": "markdown", - "id": "a655c3e6", + "id": "26601b01", "metadata": { "editable": true }, @@ -3622,7 +3622,7 @@ }, { "cell_type": "markdown", - "id": "72d1c378", + "id": "6a2d467f", "metadata": { "editable": true }, @@ -3634,7 +3634,7 @@ }, { "cell_type": "markdown", - "id": "15a44ecc", + "id": "a830ae89", "metadata": { "editable": true }, @@ -3649,7 +3649,7 @@ }, { "cell_type": "markdown", - "id": "0bb7dca3", + "id": "488dd05c", "metadata": { "editable": true }, @@ -3660,7 +3660,7 @@ }, { "cell_type": "markdown", - "id": "c45e48e8", + "id": "0383a3b6", "metadata": { "editable": true }, @@ -3680,7 +3680,7 @@ }, { "cell_type": "markdown", - "id": "856e267f", + "id": "10e82320", "metadata": { "editable": true }, @@ -3692,7 +3692,7 @@ }, { "cell_type": "markdown", - "id": "c304b541", + "id": "59a6e34a", "metadata": { "editable": true }, @@ -3702,7 +3702,7 @@ }, { "cell_type": "markdown", - "id": "13a7fb5e", + "id": "ab9dc4a5", "metadata": { "editable": true }, @@ -3714,7 +3714,7 @@ }, { "cell_type": "markdown", - "id": "91d79dd2", + "id": "51c1c028", "metadata": { "editable": true }, @@ -3743,7 +3743,7 @@ }, { "cell_type": "markdown", - "id": "afe923ac", + "id": "ec252687", "metadata": { "editable": true }, @@ -3770,7 +3770,7 @@ }, { "cell_type": "markdown", - "id": "e3b0107b", + "id": "156bfe10", "metadata": { "editable": true }, @@ -3781,7 +3781,7 @@ { "cell_type": "code", "execution_count": 26, - "id": "df6b7c05", + "id": "3c182484", "metadata": { "collapsed": false, "editable": true @@ -3821,7 +3821,7 @@ }, { "cell_type": "markdown", - "id": "9e91f9a0", + "id": "98a0e5ec", "metadata": { "editable": true }, @@ -3838,7 +3838,7 @@ }, { "cell_type": "markdown", - "id": "415fc97a", + "id": "b69361d0", "metadata": { "editable": true }, @@ -3861,7 +3861,7 @@ }, { "cell_type": "markdown", - "id": "c537ea64", + "id": "8d7c0cc8", "metadata": { "editable": true }, @@ -3875,7 +3875,7 @@ }, { "cell_type": "markdown", - "id": "ba856156", + "id": "0a45fa90", "metadata": { "editable": true }, @@ -3894,7 +3894,7 @@ }, { "cell_type": "markdown", - "id": "376b56d3", + "id": "add34bfc", "metadata": { "editable": true }, @@ -3904,7 +3904,7 @@ }, { "cell_type": "markdown", - "id": "94383f7f", + "id": "f00ff6da", "metadata": { "editable": true }, @@ -3916,7 +3916,7 @@ }, { "cell_type": "markdown", - "id": "836c6ad5", + "id": "348cd8df", "metadata": { "editable": true }, @@ -3930,7 +3930,7 @@ }, { "cell_type": "markdown", - "id": "e56306d7", + "id": "f7697c17", "metadata": { "editable": true }, @@ -3942,7 +3942,7 @@ }, { "cell_type": "markdown", - "id": "cd33b717", + "id": "64417096", "metadata": { "editable": true }, @@ -3952,7 +3952,7 @@ }, { "cell_type": "markdown", - "id": "f81bbc5e", + "id": "ded28c47", "metadata": { "editable": true }, @@ -3964,7 +3964,7 @@ }, { "cell_type": "markdown", - "id": "bdc865ea", + "id": "f70d6ea7", "metadata": { "editable": true }, @@ -3981,7 +3981,7 @@ }, { "cell_type": "markdown", - "id": "6560516f", + "id": "68ecbbfa", "metadata": { "editable": true }, @@ -3991,7 +3991,7 @@ }, { "cell_type": "markdown", - "id": "0913014f", + "id": "73db495d", "metadata": { "editable": true }, @@ -4007,7 +4007,7 @@ }, { "cell_type": "markdown", - "id": "7960d3eb", + "id": "44412861", "metadata": { "editable": true }, @@ -4017,7 +4017,7 @@ }, { "cell_type": "markdown", - "id": "a2c6cab1", + "id": "985de8ad", "metadata": { "editable": true }, @@ -4033,7 +4033,7 @@ }, { "cell_type": "markdown", - "id": "d026c4fa", + "id": "bae93d68", "metadata": { "editable": true }, @@ -4043,7 +4043,7 @@ }, { "cell_type": "markdown", - "id": "bc5999f4", + "id": "e29bd644", "metadata": { "editable": true }, @@ -4059,7 +4059,7 @@ }, { "cell_type": "markdown", - "id": "1753c718", + "id": "3abf4a2d", "metadata": { "editable": true }, @@ -4069,7 +4069,7 @@ }, { "cell_type": "markdown", - "id": "fb1ffbac", + "id": "fe1e2ce7", "metadata": { "editable": true }, @@ -4086,7 +4086,7 @@ }, { "cell_type": "markdown", - "id": "9d5ba9ce", + "id": "d23d044b", "metadata": { "editable": true }, @@ -4098,7 +4098,7 @@ }, { "cell_type": "markdown", - "id": "fc09fc11", + "id": "36e38f22", "metadata": { "editable": true }, @@ -4110,7 +4110,7 @@ }, { "cell_type": "markdown", - "id": "36822227", + "id": "ad22843b", "metadata": { "editable": true }, @@ -4122,7 +4122,7 @@ }, { "cell_type": "markdown", - "id": "de6cc474", + "id": "fabcf0f8", "metadata": { "editable": true }, @@ -4132,7 +4132,7 @@ }, { "cell_type": "markdown", - "id": "453ff6f8", + "id": "2c2f44c5", "metadata": { "editable": true }, @@ -4144,7 +4144,7 @@ }, { "cell_type": "markdown", - "id": "3fb1165b", + "id": "105762d0", "metadata": { "editable": true }, @@ -4156,7 +4156,7 @@ }, { "cell_type": "markdown", - "id": "fb0b59b1", + "id": "35a42e41", "metadata": { "editable": true }, @@ -4168,7 +4168,7 @@ }, { "cell_type": "markdown", - "id": "1c998fc7", + "id": "8e21698f", "metadata": { "editable": true }, @@ -4178,7 +4178,7 @@ }, { "cell_type": "markdown", - "id": "8b91e913", + "id": "a240efc0", "metadata": { "editable": true }, @@ -4190,7 +4190,7 @@ }, { "cell_type": "markdown", - "id": "2d8c0246", + "id": "3919a2cb", "metadata": { "editable": true }, @@ -4200,7 +4200,7 @@ }, { "cell_type": "markdown", - "id": "f73a9f8b", + "id": "ddf99a3e", "metadata": { "editable": true }, @@ -4212,7 +4212,7 @@ }, { "cell_type": "markdown", - "id": "0ce5f423", + "id": "5a790d25", "metadata": { "editable": true }, @@ -4226,7 +4226,7 @@ }, { "cell_type": "markdown", - "id": "3ec391cc", + "id": "113a5d16", "metadata": { "editable": true }, @@ -4238,7 +4238,7 @@ }, { "cell_type": "markdown", - "id": "11a3f35c", + "id": "ec65ec89", "metadata": { "editable": true }, @@ -4250,7 +4250,7 @@ }, { "cell_type": "markdown", - "id": "c6b8757c", + "id": "ed891134", "metadata": { "editable": true }, @@ -4260,7 +4260,7 @@ }, { "cell_type": "markdown", - "id": "4e2f4fc0", + "id": "5266f146", "metadata": { "editable": true }, @@ -4272,7 +4272,7 @@ }, { "cell_type": "markdown", - "id": "db3e6c79", + "id": "666ab5b3", "metadata": { "editable": true }, @@ -4283,7 +4283,7 @@ }, { "cell_type": "markdown", - "id": "4d95e8aa", + "id": "ab9a3eec", "metadata": { "editable": true }, @@ -4295,7 +4295,7 @@ }, { "cell_type": "markdown", - "id": "a7dfc330", + "id": "252e7533", "metadata": { "editable": true }, @@ -4305,7 +4305,7 @@ }, { "cell_type": "markdown", - "id": "888796de", + "id": "201b9300", "metadata": { "editable": true }, @@ -4317,7 +4317,7 @@ }, { "cell_type": "markdown", - "id": "99561aeb", + "id": "4f6287cf", "metadata": { "editable": true }, @@ -4327,7 +4327,7 @@ }, { "cell_type": "markdown", - "id": "0a4556b6", + "id": "1ace6d06", "metadata": { "editable": true }, @@ -4339,7 +4339,7 @@ }, { "cell_type": "markdown", - "id": "9844b480", + "id": "274f98fb", "metadata": { "editable": true }, @@ -4350,7 +4350,7 @@ }, { "cell_type": "markdown", - "id": "3731b9ff", + "id": "70dc1b76", "metadata": { "editable": true }, @@ -4362,7 +4362,7 @@ }, { "cell_type": "markdown", - "id": "2debf83f", + "id": "096c55e9", "metadata": { "editable": true }, @@ -4380,7 +4380,7 @@ }, { "cell_type": "markdown", - "id": "7fd0c7b2", + "id": "0ac9bdae", "metadata": { "editable": true }, @@ -4396,19 +4396,19 @@ }, { "cell_type": "markdown", - "id": "db45a990", + "id": "a456e251", "metadata": { "editable": true }, "source": [ "$$\n", - "\\frac{\\partial^2 C(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}^T\\partial \\boldsymbol{\\beta}} =\\frac{2}{n}\\boldsymbol{X}^T\\boldsymbol{X}.\n", + "\\frac{\\partial^2 C(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T} =\\frac{2}{n}\\boldsymbol{X}^T\\boldsymbol{X}.\n", "$$" ] }, { "cell_type": "markdown", - "id": "476e4063", + "id": "7c817401", "metadata": { "editable": true }, @@ -4420,7 +4420,7 @@ }, { "cell_type": "markdown", - "id": "f7caedf0", + "id": "20d7bb5d", "metadata": { "editable": true }, @@ -4432,7 +4432,7 @@ }, { "cell_type": "markdown", - "id": "a9469af7", + "id": "52a9f64e", "metadata": { "editable": true }, @@ -4445,7 +4445,7 @@ }, { "cell_type": "markdown", - "id": "dae869bb", + "id": "77820e66", "metadata": { "editable": true }, @@ -4461,7 +4461,7 @@ }, { "cell_type": "markdown", - "id": "d718bf56", + "id": "dc6ab9cd", "metadata": { "editable": true }, @@ -4475,7 +4475,7 @@ }, { "cell_type": "markdown", - "id": "f5ad97e4", + "id": "8a8ee502", "metadata": { "editable": true }, @@ -4485,7 +4485,7 @@ }, { "cell_type": "markdown", - "id": "b76f1367", + "id": "f377b529", "metadata": { "editable": true }, @@ -4497,7 +4497,7 @@ }, { "cell_type": "markdown", - "id": "dc7b9319", + "id": "e572a54d", "metadata": { "editable": true }, @@ -4507,7 +4507,7 @@ }, { "cell_type": "markdown", - "id": "8159fef4", + "id": "1b9c72f5", "metadata": { "editable": true }, @@ -4519,7 +4519,7 @@ }, { "cell_type": "markdown", - "id": "d34ac113", + "id": "15c56784", "metadata": { "editable": true }, @@ -4529,7 +4529,7 @@ }, { "cell_type": "markdown", - "id": "1e0b77c9", + "id": "a03c1a32", "metadata": { "editable": true }, @@ -4543,7 +4543,7 @@ }, { "cell_type": "markdown", - "id": "01cb77e3", + "id": "af372da2", "metadata": { "editable": true }, @@ -4554,13 +4554,13 @@ "method corrects the bias in the estimation of the population variance\n", "and covariance. It also partially corrects the bias in the estimation\n", "of the population standard deviation. If you use a library like\n", - "**Scikit-Learn** or **nunmpy's** function calculate the covariance, this\n", + "**Scikit-Learn** or **nunmpy's** function to calculate the covariance, this\n", "quantity will be computed with a factor $1/(n-1)$." ] }, { "cell_type": "markdown", - "id": "e69ed735", + "id": "9200f285", "metadata": { "editable": true }, @@ -4576,7 +4576,7 @@ }, { "cell_type": "markdown", - "id": "f0da7f4b", + "id": "d5becae6", "metadata": { "editable": true }, @@ -4588,7 +4588,7 @@ }, { "cell_type": "markdown", - "id": "935ca456", + "id": "27e6e5b8", "metadata": { "editable": true }, @@ -4601,7 +4601,7 @@ }, { "cell_type": "markdown", - "id": "06f10a4e", + "id": "06454f55", "metadata": { "editable": true }, @@ -4615,7 +4615,7 @@ }, { "cell_type": "markdown", - "id": "be61cd6a", + "id": "833b2511", "metadata": { "editable": true }, @@ -4625,7 +4625,7 @@ }, { "cell_type": "markdown", - "id": "0e25f2ad", + "id": "056aceed", "metadata": { "editable": true }, @@ -4638,7 +4638,7 @@ }, { "cell_type": "markdown", - "id": "fe5ccfec", + "id": "950f361e", "metadata": { "editable": true }, @@ -4657,7 +4657,7 @@ }, { "cell_type": "markdown", - "id": "eefbdf95", + "id": "2d8ac5c2", "metadata": { "editable": true }, @@ -4669,7 +4669,7 @@ }, { "cell_type": "markdown", - "id": "05b5b021", + "id": "62d04779", "metadata": { "editable": true }, @@ -4681,7 +4681,7 @@ }, { "cell_type": "markdown", - "id": "17df2dd0", + "id": "797b13b8", "metadata": { "editable": true }, @@ -4691,7 +4691,7 @@ }, { "cell_type": "markdown", - "id": "286fc60b", + "id": "bd705147", "metadata": { "editable": true }, @@ -4703,7 +4703,7 @@ }, { "cell_type": "markdown", - "id": "9918e3f5", + "id": "542850cc", "metadata": { "editable": true }, @@ -4716,7 +4716,7 @@ }, { "cell_type": "markdown", - "id": "11803309", + "id": "db1aaf48", "metadata": { "editable": true }, @@ -4735,7 +4735,7 @@ }, { "cell_type": "markdown", - "id": "81195690", + "id": "6dc65433", "metadata": { "editable": true }, @@ -4745,7 +4745,7 @@ }, { "cell_type": "markdown", - "id": "7a402445", + "id": "ccd95a67", "metadata": { "editable": true }, @@ -4764,7 +4764,7 @@ }, { "cell_type": "markdown", - "id": "4c0f4547", + "id": "c15cc257", "metadata": { "editable": true }, @@ -4782,7 +4782,7 @@ }, { "cell_type": "markdown", - "id": "238844a1", + "id": "cc4a5463", "metadata": { "editable": true }, @@ -4796,7 +4796,7 @@ }, { "cell_type": "markdown", - "id": "33ddecf3", + "id": "b8cfd6fa", "metadata": { "editable": true }, @@ -4811,7 +4811,7 @@ { "cell_type": "code", "execution_count": 27, - "id": "5b7e3d47", + "id": "31e1da88", "metadata": { "collapsed": false, "editable": true @@ -4832,7 +4832,7 @@ }, { "cell_type": "markdown", - "id": "b5203c81", + "id": "24a933c2", "metadata": { "editable": true }, @@ -4849,7 +4849,7 @@ { "cell_type": "code", "execution_count": 28, - "id": "6ca9fe2f", + "id": "8d9779ce", "metadata": { "collapsed": false, "editable": true @@ -4881,7 +4881,7 @@ }, { "cell_type": "markdown", - "id": "0a33aee4", + "id": "c7e322b5", "metadata": { "editable": true }, @@ -4895,7 +4895,7 @@ }, { "cell_type": "markdown", - "id": "be321ad7", + "id": "ea5682d7", "metadata": { "editable": true }, @@ -4908,7 +4908,7 @@ { "cell_type": "code", "execution_count": 29, - "id": "df41b33a", + "id": "0e83fcbc", "metadata": { "collapsed": false, "editable": true @@ -4933,7 +4933,7 @@ }, { "cell_type": "markdown", - "id": "37e53b7c", + "id": "1226fab9", "metadata": { "editable": true }, @@ -4943,7 +4943,7 @@ }, { "cell_type": "markdown", - "id": "470d603b", + "id": "923ffc58", "metadata": { "editable": true }, @@ -4954,7 +4954,7 @@ { "cell_type": "code", "execution_count": 30, - "id": "d15a64cf", + "id": "145c2622", "metadata": { "collapsed": false, "editable": true @@ -5008,7 +5008,7 @@ }, { "cell_type": "markdown", - "id": "450109da", + "id": "8a657c92", "metadata": { "editable": true }, @@ -5025,7 +5025,7 @@ }, { "cell_type": "markdown", - "id": "15d78e68", + "id": "522f204b", "metadata": { "editable": true }, @@ -5037,7 +5037,7 @@ }, { "cell_type": "markdown", - "id": "05d71468", + "id": "6ab032e5", "metadata": { "editable": true }, @@ -5049,7 +5049,7 @@ }, { "cell_type": "markdown", - "id": "579b77d0", + "id": "423a9a47", "metadata": { "editable": true }, @@ -5059,7 +5059,7 @@ }, { "cell_type": "markdown", - "id": "0b77d639", + "id": "817b323b", "metadata": { "editable": true }, @@ -5076,7 +5076,7 @@ }, { "cell_type": "markdown", - "id": "b6f64deb", + "id": "93f4ff8f", "metadata": { "editable": true }, @@ -5086,7 +5086,7 @@ }, { "cell_type": "markdown", - "id": "6416bd42", + "id": "437c6704", "metadata": { "editable": true }, @@ -5101,7 +5101,7 @@ }, { "cell_type": "markdown", - "id": "cd76a3d6", + "id": "fe76cb03", "metadata": { "editable": true }, @@ -5111,7 +5111,7 @@ }, { "cell_type": "markdown", - "id": "7667e919", + "id": "71d190a9", "metadata": { "editable": true }, @@ -5125,7 +5125,7 @@ }, { "cell_type": "markdown", - "id": "a364fdec", + "id": "21d676ff", "metadata": { "editable": true }, @@ -5137,7 +5137,7 @@ }, { "cell_type": "markdown", - "id": "9e30f36d", + "id": "95bf7f81", "metadata": { "editable": true }, @@ -5149,7 +5149,7 @@ }, { "cell_type": "markdown", - "id": "a8706a80", + "id": "3e6fccbc", "metadata": { "editable": true }, @@ -5161,7 +5161,7 @@ }, { "cell_type": "markdown", - "id": "b9e7b5b3", + "id": "8c261002", "metadata": { "editable": true }, @@ -5171,7 +5171,7 @@ }, { "cell_type": "markdown", - "id": "58f9f374", + "id": "f9aedabd", "metadata": { "editable": true }, @@ -5183,7 +5183,7 @@ }, { "cell_type": "markdown", - "id": "ccd3b380", + "id": "b9c3ddc5", "metadata": { "editable": true }, @@ -5193,7 +5193,7 @@ }, { "cell_type": "markdown", - "id": "4febae0d", + "id": "ed30a2b1", "metadata": { "editable": true }, @@ -5210,7 +5210,7 @@ }, { "cell_type": "markdown", - "id": "5264a8ef", + "id": "dfb0eb4a", "metadata": { "editable": true }, @@ -5220,7 +5220,7 @@ }, { "cell_type": "markdown", - "id": "6306d337", + "id": "39664ac4", "metadata": { "editable": true }, @@ -5232,7 +5232,7 @@ }, { "cell_type": "markdown", - "id": "0b85ad53", + "id": "36858bcd", "metadata": { "editable": true }, @@ -5242,7 +5242,7 @@ }, { "cell_type": "markdown", - "id": "3f462bd9", + "id": "1938dd21", "metadata": { "editable": true }, @@ -5254,7 +5254,7 @@ }, { "cell_type": "markdown", - "id": "3e998d31", + "id": "d89b7fce", "metadata": { "editable": true }, @@ -5268,7 +5268,7 @@ }, { "cell_type": "markdown", - "id": "93ad8f0c", + "id": "a30a69b4", "metadata": { "editable": true }, @@ -5280,7 +5280,7 @@ }, { "cell_type": "markdown", - "id": "ec4e112e", + "id": "34639fb6", "metadata": { "editable": true }, @@ -5302,7 +5302,7 @@ }, { "cell_type": "markdown", - "id": "36422c93", + "id": "20ad8e3f", "metadata": { "editable": true }, @@ -5314,7 +5314,7 @@ }, { "cell_type": "markdown", - "id": "c726caf1", + "id": "d9478bfc", "metadata": { "editable": true }, @@ -5329,7 +5329,7 @@ }, { "cell_type": "markdown", - "id": "13624ec5", + "id": "04d7397f", "metadata": { "editable": true }, @@ -5341,7 +5341,7 @@ }, { "cell_type": "markdown", - "id": "a5f5dbbb", + "id": "59f21f2c", "metadata": { "editable": true }, @@ -5353,7 +5353,7 @@ }, { "cell_type": "markdown", - "id": "f5a06622", + "id": "a309e6d5", "metadata": { "editable": true }, @@ -5363,7 +5363,7 @@ }, { "cell_type": "markdown", - "id": "472afc38", + "id": "2c4186ec", "metadata": { "editable": true }, @@ -5375,7 +5375,7 @@ }, { "cell_type": "markdown", - "id": "719c02f4", + "id": "ccd854d0", "metadata": { "editable": true }, @@ -5385,7 +5385,7 @@ }, { "cell_type": "markdown", - "id": "b2a62207", + "id": "74eaeda4", "metadata": { "editable": true }, @@ -5397,7 +5397,7 @@ }, { "cell_type": "markdown", - "id": "6194792e", + "id": "053b8482", "metadata": { "editable": true }, @@ -5407,7 +5407,7 @@ }, { "cell_type": "markdown", - "id": "c957d867", + "id": "6f8a528a", "metadata": { "editable": true }, @@ -5419,7 +5419,7 @@ }, { "cell_type": "markdown", - "id": "7d0a4281", + "id": "112070df", "metadata": { "editable": true }, @@ -5436,7 +5436,7 @@ }, { "cell_type": "markdown", - "id": "3a982382", + "id": "33e268b0", "metadata": { "editable": true }, @@ -5449,7 +5449,7 @@ }, { "cell_type": "markdown", - "id": "9fa67077", + "id": "0de7adcd", "metadata": { "editable": true }, @@ -5461,7 +5461,7 @@ }, { "cell_type": "markdown", - "id": "d70a4c10", + "id": "fa30d846", "metadata": { "editable": true }, @@ -5471,7 +5471,7 @@ }, { "cell_type": "markdown", - "id": "61ce3a16", + "id": "d577ef22", "metadata": { "editable": true }, @@ -5484,7 +5484,7 @@ }, { "cell_type": "markdown", - "id": "a7110d4e", + "id": "ce39ce20", "metadata": { "editable": true }, @@ -5494,7 +5494,7 @@ }, { "cell_type": "markdown", - "id": "102fd8e6", + "id": "960bd21b", "metadata": { "editable": true }, @@ -5506,7 +5506,7 @@ }, { "cell_type": "markdown", - "id": "ea3f1c3b", + "id": "7736561e", "metadata": { "editable": true }, @@ -5519,7 +5519,7 @@ }, { "cell_type": "markdown", - "id": "2e7d3edc", + "id": "f1043146", "metadata": { "editable": true }, @@ -5532,7 +5532,7 @@ }, { "cell_type": "markdown", - "id": "6138e4d3", + "id": "56e791a2", "metadata": { "editable": true }, @@ -5544,7 +5544,7 @@ }, { "cell_type": "markdown", - "id": "8406ec32", + "id": "dbcb265a", "metadata": { "editable": true }, @@ -5556,7 +5556,7 @@ }, { "cell_type": "markdown", - "id": "8725c04e", + "id": "9e1a00c1", "metadata": { "editable": true }, @@ -5566,7 +5566,7 @@ }, { "cell_type": "markdown", - "id": "dcb02b56", + "id": "6ca6c71d", "metadata": { "editable": true }, @@ -5579,7 +5579,7 @@ }, { "cell_type": "markdown", - "id": "fdc3d5dc", + "id": "797658d0", "metadata": { "editable": true }, @@ -5591,7 +5591,7 @@ }, { "cell_type": "markdown", - "id": "1a06957b", + "id": "ed64a13e", "metadata": { "editable": true }, @@ -5603,7 +5603,7 @@ }, { "cell_type": "markdown", - "id": "5d3c2482", + "id": "fc6a2aeb", "metadata": { "editable": true }, @@ -5615,7 +5615,7 @@ }, { "cell_type": "markdown", - "id": "e94ba1d9", + "id": "1c956ba4", "metadata": { "editable": true }, @@ -5627,7 +5627,7 @@ }, { "cell_type": "markdown", - "id": "ebee0c20", + "id": "ea5516df", "metadata": { "editable": true }, @@ -5641,7 +5641,7 @@ }, { "cell_type": "markdown", - "id": "e30e7753", + "id": "b6d61e24", "metadata": { "editable": true }, @@ -5653,7 +5653,7 @@ }, { "cell_type": "markdown", - "id": "bf0db09e", + "id": "84765a82", "metadata": { "editable": true }, @@ -5663,7 +5663,7 @@ }, { "cell_type": "markdown", - "id": "09c45e7a", + "id": "973019d8", "metadata": { "editable": true }, @@ -5675,7 +5675,7 @@ }, { "cell_type": "markdown", - "id": "3691ef57", + "id": "7f074350", "metadata": { "editable": true }, @@ -5687,7 +5687,7 @@ }, { "cell_type": "markdown", - "id": "86e182d9", + "id": "0570ceae", "metadata": { "editable": true }, @@ -5699,7 +5699,7 @@ }, { "cell_type": "markdown", - "id": "eb5f1b1c", + "id": "5d16ea9d", "metadata": { "editable": true }, @@ -5711,7 +5711,7 @@ }, { "cell_type": "markdown", - "id": "64a361ad", + "id": "b739c33e", "metadata": { "editable": true }, @@ -5723,7 +5723,7 @@ }, { "cell_type": "markdown", - "id": "736ab040", + "id": "dc8bc23b", "metadata": { "editable": true }, @@ -5742,7 +5742,7 @@ }, { "cell_type": "markdown", - "id": "1e5e13b7", + "id": "d89da6dc", "metadata": { "editable": true }, @@ -5754,7 +5754,7 @@ }, { "cell_type": "markdown", - "id": "f5b34bc6", + "id": "3b871cb3", "metadata": { "editable": true }, @@ -5764,7 +5764,7 @@ }, { "cell_type": "markdown", - "id": "05fed0df", + "id": "018e1163", "metadata": { "editable": true }, @@ -5776,7 +5776,7 @@ }, { "cell_type": "markdown", - "id": "0853969f", + "id": "24f364d8", "metadata": { "editable": true }, @@ -5786,7 +5786,7 @@ }, { "cell_type": "markdown", - "id": "e1e0e802", + "id": "4f695ec4", "metadata": { "editable": true }, @@ -5798,7 +5798,7 @@ }, { "cell_type": "markdown", - "id": "5349338e", + "id": "a4599188", "metadata": { "editable": true }, @@ -5810,7 +5810,7 @@ }, { "cell_type": "markdown", - "id": "3856bb34", + "id": "0edf0a0c", "metadata": { "editable": true }, @@ -5826,7 +5826,7 @@ }, { "cell_type": "markdown", - "id": "96bb9c00", + "id": "9afad20c", "metadata": { "editable": true }, @@ -5838,7 +5838,7 @@ }, { "cell_type": "markdown", - "id": "343e7f2a", + "id": "33df2d17", "metadata": { "editable": true }, @@ -5850,7 +5850,7 @@ }, { "cell_type": "markdown", - "id": "d9a0dd13", + "id": "972e10e7", "metadata": { "editable": true }, @@ -5860,7 +5860,7 @@ }, { "cell_type": "markdown", - "id": "47f89929", + "id": "86f89bca", "metadata": { "editable": true }, @@ -5872,7 +5872,7 @@ }, { "cell_type": "markdown", - "id": "6a8d40da", + "id": "c286d017", "metadata": { "editable": true }, @@ -5882,7 +5882,7 @@ }, { "cell_type": "markdown", - "id": "87a36c85", + "id": "4dcbe7e5", "metadata": { "editable": true }, @@ -5894,7 +5894,7 @@ }, { "cell_type": "markdown", - "id": "6237d1b0", + "id": "43db48d4", "metadata": { "editable": true }, @@ -5911,7 +5911,7 @@ }, { "cell_type": "markdown", - "id": "39430adb", + "id": "17d8c95a", "metadata": { "editable": true }, @@ -5923,7 +5923,7 @@ }, { "cell_type": "markdown", - "id": "b97b5db8", + "id": "3c9d6593", "metadata": { "editable": true }, @@ -5935,7 +5935,7 @@ }, { "cell_type": "markdown", - "id": "06fb16da", + "id": "a1606a04", "metadata": { "editable": true }, @@ -5945,7 +5945,7 @@ }, { "cell_type": "markdown", - "id": "552d08cd", + "id": "d192512a", "metadata": { "editable": true }, @@ -5957,7 +5957,7 @@ }, { "cell_type": "markdown", - "id": "4e2d1b42", + "id": "a60675a1", "metadata": { "editable": true }, @@ -5967,7 +5967,7 @@ }, { "cell_type": "markdown", - "id": "fbc4cda5", + "id": "942fc37f", "metadata": { "editable": true }, @@ -5979,7 +5979,7 @@ }, { "cell_type": "markdown", - "id": "e36f9245", + "id": "4f5e067f", "metadata": { "editable": true }, @@ -5989,7 +5989,7 @@ }, { "cell_type": "markdown", - "id": "06b74c95", + "id": "d330f743", "metadata": { "editable": true }, @@ -6001,7 +6001,7 @@ }, { "cell_type": "markdown", - "id": "1cbd57d2", + "id": "55f9b635", "metadata": { "editable": true }, @@ -6011,7 +6011,7 @@ }, { "cell_type": "markdown", - "id": "17a0dae2", + "id": "5a6d1b0b", "metadata": { "editable": true }, @@ -6023,7 +6023,7 @@ }, { "cell_type": "markdown", - "id": "abc993af", + "id": "12fd13cb", "metadata": { "editable": true }, diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt index 593617daa..12707253a 100644 --- a/doc/src/week35/week35.do.txt +++ b/doc/src/week35/week35.do.txt @@ -2132,7 +2132,7 @@ function, that is we have !bt \[ -\frac{\partial^2 C(\bm{\beta})}{\partial \bm{\beta}^T\partial \bm{\beta}} =\frac{2}{n}\bm{X}^T\bm{X}. +\frac{\partial^2 C(\bm{\beta})}{\partial \bm{\beta}\partial \bm{\beta}^T} =\frac{2}{n}\bm{X}^T\bm{X}. \] !et This quantity defines was what is called the Hessian matrix (the second derivative of a function we want to optimize). @@ -2194,7 +2194,7 @@ with a factor $1/(n-1)$. This is called "Bessel's correction":"https://mathworld method corrects the bias in the estimation of the population variance and covariance. It also partially corrects the bias in the estimation of the population standard deviation. If you use a library like -_Scikit-Learn_ or _nunmpy's_ function calculate the covariance, this +_Scikit-Learn_ or _nunmpy's_ function to calculate the covariance, this quantity will be computed with a factor $1/(n-1)$. !split