diff --git a/doc/BookChapters/chapter2.do.txt b/doc/BookChapters/chapter2.do.txt index a436a9dc6..638e25e14 100644 --- a/doc/BookChapters/chapter2.do.txt +++ b/doc/BookChapters/chapter2.do.txt @@ -2495,6 +2495,6 @@ $\beta_j$. The variance for the Laplace distribution is $2\tau^2=1/\lambda$ while for the Gaussian distribution it is $\sigma^2=1/(2\lambda)$. Thus, increasing the variance means decreasing $\lambda$ and shrinking the variance means increasing -$\lamdbda$. When we increase $\lambda$, this corresponds to shrinking the role of less important features (small singular values). +$\lambda$. When we increase $\lambda$, this corresponds to shrinking the role of less important features (small singular values). diff --git a/doc/LectureNotes/_build/.doctrees/chapter2.doctree b/doc/LectureNotes/_build/.doctrees/chapter2.doctree index d768f0cd1..84e7dd218 100644 Binary files a/doc/LectureNotes/_build/.doctrees/chapter2.doctree and b/doc/LectureNotes/_build/.doctrees/chapter2.doctree differ diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle index 2f27e45fe..78654aeed 100644 Binary files a/doc/LectureNotes/_build/.doctrees/environment.pickle and b/doc/LectureNotes/_build/.doctrees/environment.pickle differ diff --git a/doc/LectureNotes/_build/html/_sources/chapter2.ipynb b/doc/LectureNotes/_build/html/_sources/chapter2.ipynb index 8bb203708..7cc1486c7 100644 --- a/doc/LectureNotes/_build/html/_sources/chapter2.ipynb +++ b/doc/LectureNotes/_build/html/_sources/chapter2.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7146aabe", + "id": "6b7fdf6d", "metadata": { "editable": true }, @@ -13,7 +13,7 @@ }, { "cell_type": "markdown", - "id": "383d5dba", + "id": "0be3ba69", "metadata": { "editable": true }, @@ -23,7 +23,7 @@ }, { "cell_type": "markdown", - "id": "08812109", + "id": "5b4952ed", "metadata": { "editable": true }, @@ -37,7 +37,7 @@ }, { "cell_type": "markdown", - "id": "04ce00fc", + "id": "b46233dd", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "88d4cd43", + "id": "c6461a0d", "metadata": { "editable": true }, @@ -61,7 +61,7 @@ }, { "cell_type": "markdown", - "id": "b95f6106", + "id": "cb4847ae", "metadata": { "editable": true }, @@ -73,7 +73,7 @@ }, { "cell_type": "markdown", - "id": "2ee3b8e9", + "id": "3338817a", "metadata": { "editable": true }, @@ -83,7 +83,7 @@ }, { "cell_type": "markdown", - "id": "72f7dde8", + "id": "12abd7f2", "metadata": { "editable": true }, @@ -95,7 +95,7 @@ }, { "cell_type": "markdown", - "id": "4b092bc7", + "id": "90919dcb", "metadata": { "editable": true }, @@ -105,7 +105,7 @@ }, { "cell_type": "markdown", - "id": "44b3e758", + "id": "f48032f6", "metadata": { "editable": true }, @@ -117,7 +117,7 @@ }, { "cell_type": "markdown", - "id": "6cec4c92", + "id": "31aefaa4", "metadata": { "editable": true }, @@ -130,7 +130,7 @@ }, { "cell_type": "markdown", - "id": "ef64424c", + "id": "59e89e94", "metadata": { "editable": true }, @@ -142,7 +142,7 @@ }, { "cell_type": "markdown", - "id": "cad57da0", + "id": "945df507", "metadata": { "editable": true }, @@ -154,7 +154,7 @@ }, { "cell_type": "markdown", - "id": "94355d54", + "id": "d4716482", "metadata": { "editable": true }, @@ -166,7 +166,7 @@ }, { "cell_type": "markdown", - "id": "4c1ccdf5", + "id": "c8bbcd98", "metadata": { "editable": true }, @@ -176,7 +176,7 @@ }, { "cell_type": "markdown", - "id": "0d943ee1", + "id": "735f814f", "metadata": { "editable": true }, @@ -188,7 +188,7 @@ }, { "cell_type": "markdown", - "id": "3f951392", + "id": "e78b59e8", "metadata": { "editable": true }, @@ -198,7 +198,7 @@ }, { "cell_type": "markdown", - "id": "ce1a6d6f", + "id": "86bf6da6", "metadata": { "editable": true }, @@ -210,7 +210,7 @@ }, { "cell_type": "markdown", - "id": "2861bd8e", + "id": "6fd1c3f5", "metadata": { "editable": true }, @@ -220,7 +220,7 @@ }, { "cell_type": "markdown", - "id": "1dfaffdb", + "id": "4bf1507d", "metadata": { "editable": true }, @@ -267,7 +267,7 @@ }, { "cell_type": "markdown", - "id": "3e091b51", + "id": "501c8396", "metadata": { "editable": true }, @@ -290,7 +290,7 @@ }, { "cell_type": "markdown", - "id": "2fcbdb36", + "id": "91dd90a2", "metadata": { "editable": true }, @@ -307,7 +307,7 @@ }, { "cell_type": "markdown", - "id": "1f35594a", + "id": "b99d5a03", "metadata": { "editable": true }, @@ -326,7 +326,7 @@ }, { "cell_type": "markdown", - "id": "093183cd", + "id": "51044621", "metadata": { "editable": true }, @@ -339,7 +339,7 @@ }, { "cell_type": "markdown", - "id": "7a22cf10", + "id": "95f7b573", "metadata": { "editable": true }, @@ -357,7 +357,7 @@ }, { "cell_type": "markdown", - "id": "a66feb94", + "id": "219e2898", "metadata": { "editable": true }, @@ -373,7 +373,7 @@ }, { "cell_type": "markdown", - "id": "b5b5978a", + "id": "2d4aa6ba", "metadata": { "editable": true }, @@ -385,7 +385,7 @@ }, { "cell_type": "markdown", - "id": "bed64679", + "id": "28d3e4cf", "metadata": { "editable": true }, @@ -395,7 +395,7 @@ }, { "cell_type": "markdown", - "id": "860c9b6d", + "id": "0554fe7a", "metadata": { "editable": true }, @@ -410,7 +410,7 @@ }, { "cell_type": "markdown", - "id": "724355a3", + "id": "2320c7d9", "metadata": { "editable": true }, @@ -422,7 +422,7 @@ }, { "cell_type": "markdown", - "id": "80fea225", + "id": "c8765862", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "4a7bc845", + "id": "b87159ae", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "789f1977", + "id": "86f7abed", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "56e422f4", + "id": "12e3fd4d", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "f015c981", + "id": "ac83315a", "metadata": { "editable": true }, @@ -478,7 +478,7 @@ }, { "cell_type": "markdown", - "id": "dfd219d0", + "id": "ef951bdc", "metadata": { "editable": true }, @@ -493,7 +493,7 @@ }, { "cell_type": "markdown", - "id": "9992b4d2", + "id": "33e36557", "metadata": { "editable": true }, @@ -514,7 +514,7 @@ }, { "cell_type": "markdown", - "id": "e41ce3a1", + "id": "93aa4bb0", "metadata": { "editable": true }, @@ -526,7 +526,7 @@ }, { "cell_type": "markdown", - "id": "916148d2", + "id": "ceb9f136", "metadata": { "editable": true }, @@ -536,7 +536,7 @@ }, { "cell_type": "markdown", - "id": "8488b628", + "id": "30a1026a", "metadata": { "editable": true }, @@ -548,7 +548,7 @@ }, { "cell_type": "markdown", - "id": "eb7bb105", + "id": "9ae7aeab", "metadata": { "editable": true }, @@ -594,7 +594,7 @@ }, { "cell_type": "markdown", - "id": "86e39aa0", + "id": "94db25b9", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "9c3ae0cf", + "id": "87ac9b01", "metadata": { "collapsed": false, "editable": true @@ -645,7 +645,7 @@ }, { "cell_type": "markdown", - "id": "b5e02d16", + "id": "8117b776", "metadata": { "editable": true }, @@ -675,7 +675,7 @@ }, { "cell_type": "markdown", - "id": "ceac1ca3", + "id": "2ef4aaab", "metadata": { "editable": true }, @@ -689,7 +689,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "15a9c8e8", + "id": "a018928e", "metadata": { "collapsed": false, "editable": true @@ -701,7 +701,7 @@ }, { "cell_type": "markdown", - "id": "4a6e5469", + "id": "47cd2e4c", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "ef3b6935", + "id": "7b40d638", "metadata": { "collapsed": false, "editable": true @@ -752,7 +752,7 @@ }, { "cell_type": "markdown", - "id": "155ca008", + "id": "c283ae13", "metadata": { "editable": true }, @@ -770,7 +770,7 @@ }, { "cell_type": "markdown", - "id": "da493b94", + "id": "35241f9f", "metadata": { "editable": true }, @@ -782,7 +782,7 @@ }, { "cell_type": "markdown", - "id": "8bf214ea", + "id": "257eef0d", "metadata": { "editable": true }, @@ -793,7 +793,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "e437b5d9", + "id": "6dae6c7e", "metadata": { "collapsed": false, "editable": true @@ -827,7 +827,7 @@ }, { "cell_type": "markdown", - "id": "e711d30f", + "id": "1da1d892", "metadata": { "editable": true }, @@ -837,7 +837,7 @@ }, { "cell_type": "markdown", - "id": "a0ba9d2f", + "id": "ceb7ac2c", "metadata": { "editable": true }, @@ -851,7 +851,7 @@ }, { "cell_type": "markdown", - "id": "90951d11", + "id": "701a00a7", "metadata": { "editable": true }, @@ -870,7 +870,7 @@ }, { "cell_type": "markdown", - "id": "91ff188a", + "id": "8ec95fe7", "metadata": { "editable": true }, @@ -880,7 +880,7 @@ }, { "cell_type": "markdown", - "id": "61b2e6d7", + "id": "83b99027", "metadata": { "editable": true }, @@ -892,7 +892,7 @@ }, { "cell_type": "markdown", - "id": "3a5bf286", + "id": "300cdce4", "metadata": { "editable": true }, @@ -906,7 +906,7 @@ }, { "cell_type": "markdown", - "id": "1bd0e480", + "id": "06bfab96", "metadata": { "editable": true }, @@ -918,7 +918,7 @@ }, { "cell_type": "markdown", - "id": "6133bbea", + "id": "2f0d5916", "metadata": { "editable": true }, @@ -930,7 +930,7 @@ }, { "cell_type": "markdown", - "id": "c2f4ec9c", + "id": "2c9a8672", "metadata": { "editable": true }, @@ -947,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "d8e91a1a", + "id": "59186cbf", "metadata": { "editable": true }, @@ -957,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "66510064", + "id": "951f3cd8", "metadata": { "editable": true }, @@ -973,7 +973,7 @@ }, { "cell_type": "markdown", - "id": "0de239cf", + "id": "97c64de3", "metadata": { "editable": true }, @@ -983,7 +983,7 @@ }, { "cell_type": "markdown", - "id": "ae4894a1", + "id": "2170c34a", "metadata": { "editable": true }, @@ -999,7 +999,7 @@ }, { "cell_type": "markdown", - "id": "928421c0", + "id": "a44372b6", "metadata": { "editable": true }, @@ -1009,7 +1009,7 @@ }, { "cell_type": "markdown", - "id": "f707ba94", + "id": "883877e7", "metadata": { "editable": true }, @@ -1025,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "c2169a96", + "id": "e5cc7b55", "metadata": { "editable": true }, @@ -1035,7 +1035,7 @@ }, { "cell_type": "markdown", - "id": "0fd7213a", + "id": "54676c2e", "metadata": { "editable": true }, @@ -1052,7 +1052,7 @@ }, { "cell_type": "markdown", - "id": "014bf918", + "id": "d49c8d31", "metadata": { "editable": true }, @@ -1066,7 +1066,7 @@ }, { "cell_type": "markdown", - "id": "5b371d72", + "id": "8f11e839", "metadata": { "editable": true }, @@ -1078,7 +1078,7 @@ }, { "cell_type": "markdown", - "id": "5fdd06fb", + "id": "d1252285", "metadata": { "editable": true }, @@ -1088,7 +1088,7 @@ }, { "cell_type": "markdown", - "id": "416109ee", + "id": "9bdb3623", "metadata": { "editable": true }, @@ -1100,7 +1100,7 @@ }, { "cell_type": "markdown", - "id": "38a7766d", + "id": "c507b7b9", "metadata": { "editable": true }, @@ -1112,7 +1112,7 @@ }, { "cell_type": "markdown", - "id": "18839f7b", + "id": "62ca7ec3", "metadata": { "editable": true }, @@ -1124,7 +1124,7 @@ }, { "cell_type": "markdown", - "id": "b743da67", + "id": "fce27dd6", "metadata": { "editable": true }, @@ -1134,7 +1134,7 @@ }, { "cell_type": "markdown", - "id": "b91982c5", + "id": "dd54f5e1", "metadata": { "editable": true }, @@ -1146,7 +1146,7 @@ }, { "cell_type": "markdown", - "id": "310034bb", + "id": "af9ca16d", "metadata": { "editable": true }, @@ -1156,7 +1156,7 @@ }, { "cell_type": "markdown", - "id": "efadf88e", + "id": "8a3efbe2", "metadata": { "editable": true }, @@ -1168,7 +1168,7 @@ }, { "cell_type": "markdown", - "id": "293eece5", + "id": "da1b0f7a", "metadata": { "editable": true }, @@ -1178,7 +1178,7 @@ }, { "cell_type": "markdown", - "id": "66ead26c", + "id": "ffa9eacb", "metadata": { "editable": true }, @@ -1190,7 +1190,7 @@ }, { "cell_type": "markdown", - "id": "67b71310", + "id": "f2ca14c9", "metadata": { "editable": true }, @@ -1202,7 +1202,7 @@ }, { "cell_type": "markdown", - "id": "fa804884", + "id": "5012ca70", "metadata": { "editable": true }, @@ -1214,7 +1214,7 @@ }, { "cell_type": "markdown", - "id": "ac661f44", + "id": "496c0b8e", "metadata": { "editable": true }, @@ -1226,7 +1226,7 @@ }, { "cell_type": "markdown", - "id": "1d195b3c", + "id": "7ff42835", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "38865678", + "id": "8d1bbdbd", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "07a7126d", + "id": "40188d47", "metadata": { "editable": true }, @@ -1259,7 +1259,7 @@ }, { "cell_type": "markdown", - "id": "1375bb2d", + "id": "5e56c0d6", "metadata": { "editable": true }, @@ -1271,7 +1271,7 @@ }, { "cell_type": "markdown", - "id": "6b32590d", + "id": "4844b966", "metadata": { "editable": true }, @@ -1281,7 +1281,7 @@ }, { "cell_type": "markdown", - "id": "0bfefb07", + "id": "0be0baee", "metadata": { "editable": true }, @@ -1293,7 +1293,7 @@ }, { "cell_type": "markdown", - "id": "c9a62b75", + "id": "a7ecfbab", "metadata": { "editable": true }, @@ -1303,7 +1303,7 @@ }, { "cell_type": "markdown", - "id": "c591bfc0", + "id": "a2f7319b", "metadata": { "editable": true }, @@ -1315,7 +1315,7 @@ }, { "cell_type": "markdown", - "id": "d7fa31d3", + "id": "f99b3e74", "metadata": { "editable": true }, @@ -1326,7 +1326,7 @@ }, { "cell_type": "markdown", - "id": "d132cee3", + "id": "7c380068", "metadata": { "editable": true }, @@ -1338,7 +1338,7 @@ }, { "cell_type": "markdown", - "id": "7aa7f89c", + "id": "ef11d6bd", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "8e546bb5", + "id": "96ead7be", "metadata": { "editable": true }, @@ -1372,7 +1372,7 @@ }, { "cell_type": "markdown", - "id": "96d8b53c", + "id": "3db4d405", "metadata": { "editable": true }, @@ -1384,7 +1384,7 @@ }, { "cell_type": "markdown", - "id": "c7e05a9b", + "id": "c04a4bba", "metadata": { "editable": true }, @@ -1396,7 +1396,7 @@ }, { "cell_type": "markdown", - "id": "55fd14e4", + "id": "914c7435", "metadata": { "editable": true }, @@ -1408,7 +1408,7 @@ }, { "cell_type": "markdown", - "id": "09320523", + "id": "32e60caa", "metadata": { "editable": true }, @@ -1427,7 +1427,7 @@ }, { "cell_type": "markdown", - "id": "23b5cf2d", + "id": "eb3fa57a", "metadata": { "editable": true }, @@ -1441,7 +1441,7 @@ }, { "cell_type": "markdown", - "id": "136c43bc", + "id": "0bfaa260", "metadata": { "editable": true }, @@ -1451,7 +1451,7 @@ }, { "cell_type": "markdown", - "id": "b52fc8e3", + "id": "615b7985", "metadata": { "editable": true }, @@ -1463,7 +1463,7 @@ }, { "cell_type": "markdown", - "id": "fe153c88", + "id": "263abdfd", "metadata": { "editable": true }, @@ -1473,7 +1473,7 @@ }, { "cell_type": "markdown", - "id": "ea57dd81", + "id": "17e3aa1b", "metadata": { "editable": true }, @@ -1485,7 +1485,7 @@ }, { "cell_type": "markdown", - "id": "f8154bc8", + "id": "f32e5f0c", "metadata": { "editable": true }, @@ -1495,7 +1495,7 @@ }, { "cell_type": "markdown", - "id": "081adf91", + "id": "93e581f5", "metadata": { "editable": true }, @@ -1509,7 +1509,7 @@ }, { "cell_type": "markdown", - "id": "d61424f0", + "id": "7c1e2e6d", "metadata": { "editable": true }, @@ -1532,7 +1532,7 @@ }, { "cell_type": "markdown", - "id": "1f517794", + "id": "ffe5d318", "metadata": { "editable": true }, @@ -1544,7 +1544,7 @@ }, { "cell_type": "markdown", - "id": "27c43f34", + "id": "f1ef1af4", "metadata": { "editable": true }, @@ -1557,7 +1557,7 @@ }, { "cell_type": "markdown", - "id": "35ac64e2", + "id": "4caeb714", "metadata": { "editable": true }, @@ -1571,7 +1571,7 @@ }, { "cell_type": "markdown", - "id": "7ec11e59", + "id": "1ae8bc37", "metadata": { "editable": true }, @@ -1584,7 +1584,7 @@ }, { "cell_type": "markdown", - "id": "8d1a1a24", + "id": "40a65636", "metadata": { "editable": true }, @@ -1603,7 +1603,7 @@ }, { "cell_type": "markdown", - "id": "b12f1560", + "id": "2391a067", "metadata": { "editable": true }, @@ -1615,7 +1615,7 @@ }, { "cell_type": "markdown", - "id": "7975e5ec", + "id": "6e520869", "metadata": { "editable": true }, @@ -1627,7 +1627,7 @@ }, { "cell_type": "markdown", - "id": "4628dae3", + "id": "fb16e030", "metadata": { "editable": true }, @@ -1637,7 +1637,7 @@ }, { "cell_type": "markdown", - "id": "6acd55ed", + "id": "2ca4a36d", "metadata": { "editable": true }, @@ -1649,7 +1649,7 @@ }, { "cell_type": "markdown", - "id": "15268d5e", + "id": "d69c7401", "metadata": { "editable": true }, @@ -1662,7 +1662,7 @@ }, { "cell_type": "markdown", - "id": "f7cc7e46", + "id": "a09849f0", "metadata": { "editable": true }, @@ -1681,7 +1681,7 @@ }, { "cell_type": "markdown", - "id": "91f506bb", + "id": "c675263c", "metadata": { "editable": true }, @@ -1691,7 +1691,7 @@ }, { "cell_type": "markdown", - "id": "3f65d15d", + "id": "bc777568", "metadata": { "editable": true }, @@ -1710,7 +1710,7 @@ }, { "cell_type": "markdown", - "id": "4dda44f3", + "id": "0256a11f", "metadata": { "editable": true }, @@ -1726,7 +1726,7 @@ }, { "cell_type": "markdown", - "id": "3a6e7b9b", + "id": "1536b648", "metadata": { "editable": true }, @@ -1740,7 +1740,7 @@ }, { "cell_type": "markdown", - "id": "d907b263", + "id": "55352138", "metadata": { "editable": true }, @@ -1755,7 +1755,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "8dbb102f", + "id": "787cdcf2", "metadata": { "collapsed": false, "editable": true @@ -1776,7 +1776,7 @@ }, { "cell_type": "markdown", - "id": "25852e86", + "id": "2dab6ee7", "metadata": { "editable": true }, @@ -1791,7 +1791,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "cb3ee7b6", + "id": "5aa179ff", "metadata": { "collapsed": false, "editable": true @@ -1823,7 +1823,7 @@ }, { "cell_type": "markdown", - "id": "6f2860ea", + "id": "d42d1ba1", "metadata": { "editable": true }, @@ -1840,7 +1840,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "48781620", + "id": "944a3986", "metadata": { "collapsed": false, "editable": true @@ -1865,7 +1865,7 @@ }, { "cell_type": "markdown", - "id": "4ccdedad", + "id": "0a3924ea", "metadata": { "editable": true }, @@ -1876,7 +1876,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e4090257", + "id": "0f1f92fe", "metadata": { "collapsed": false, "editable": true @@ -1930,7 +1930,7 @@ }, { "cell_type": "markdown", - "id": "6547bf2f", + "id": "62b00f06", "metadata": { "editable": true }, @@ -1949,7 +1949,7 @@ }, { "cell_type": "markdown", - "id": "4e26eab7", + "id": "26755601", "metadata": { "editable": true }, @@ -1961,7 +1961,7 @@ }, { "cell_type": "markdown", - "id": "7f6a0df9", + "id": "bc5ac54d", "metadata": { "editable": true }, @@ -1971,7 +1971,7 @@ }, { "cell_type": "markdown", - "id": "5ff73ba2", + "id": "bbd7b46c", "metadata": { "editable": true }, @@ -1988,7 +1988,7 @@ }, { "cell_type": "markdown", - "id": "ae6e2e42", + "id": "ad63cfb3", "metadata": { "editable": true }, @@ -1998,7 +1998,7 @@ }, { "cell_type": "markdown", - "id": "87a8dccc", + "id": "bbb4b936", "metadata": { "editable": true }, @@ -2013,7 +2013,7 @@ }, { "cell_type": "markdown", - "id": "1db8e000", + "id": "6f7840f0", "metadata": { "editable": true }, @@ -2023,7 +2023,7 @@ }, { "cell_type": "markdown", - "id": "59e0c46d", + "id": "c6c6be65", "metadata": { "editable": true }, @@ -2037,7 +2037,7 @@ }, { "cell_type": "markdown", - "id": "ce39f8d0", + "id": "ff19b6d4", "metadata": { "editable": true }, @@ -2051,7 +2051,7 @@ }, { "cell_type": "markdown", - "id": "526f22b3", + "id": "9de58564", "metadata": { "editable": true }, @@ -2063,7 +2063,7 @@ }, { "cell_type": "markdown", - "id": "5d16d7c8", + "id": "48d6bcc3", "metadata": { "editable": true }, @@ -2075,7 +2075,7 @@ }, { "cell_type": "markdown", - "id": "11a74368", + "id": "d53afe93", "metadata": { "editable": true }, @@ -2085,7 +2085,7 @@ }, { "cell_type": "markdown", - "id": "0ca3614f", + "id": "b16af8c4", "metadata": { "editable": true }, @@ -2097,7 +2097,7 @@ }, { "cell_type": "markdown", - "id": "b98abb6c", + "id": "bd891fbd", "metadata": { "editable": true }, @@ -2107,7 +2107,7 @@ }, { "cell_type": "markdown", - "id": "813567cc", + "id": "537cffa8", "metadata": { "editable": true }, @@ -2124,7 +2124,7 @@ }, { "cell_type": "markdown", - "id": "ed905c7b", + "id": "ec709769", "metadata": { "editable": true }, @@ -2134,7 +2134,7 @@ }, { "cell_type": "markdown", - "id": "0136bdac", + "id": "c773bac2", "metadata": { "editable": true }, @@ -2146,7 +2146,7 @@ }, { "cell_type": "markdown", - "id": "d43e6609", + "id": "2f5a134d", "metadata": { "editable": true }, @@ -2156,7 +2156,7 @@ }, { "cell_type": "markdown", - "id": "15d2bb49", + "id": "eb807c3b", "metadata": { "editable": true }, @@ -2168,7 +2168,7 @@ }, { "cell_type": "markdown", - "id": "374104f4", + "id": "b445227a", "metadata": { "editable": true }, @@ -2180,7 +2180,7 @@ }, { "cell_type": "markdown", - "id": "86f4db59", + "id": "e2d19443", "metadata": { "editable": true }, @@ -2192,7 +2192,7 @@ }, { "cell_type": "markdown", - "id": "9d007f11", + "id": "83432108", "metadata": { "editable": true }, @@ -2214,7 +2214,7 @@ }, { "cell_type": "markdown", - "id": "03c93eed", + "id": "b4567b33", "metadata": { "editable": true }, @@ -2226,7 +2226,7 @@ }, { "cell_type": "markdown", - "id": "3ee37fac", + "id": "9c1ac81c", "metadata": { "editable": true }, @@ -2243,7 +2243,7 @@ }, { "cell_type": "markdown", - "id": "13290881", + "id": "d17f2511", "metadata": { "editable": true }, @@ -2255,7 +2255,7 @@ }, { "cell_type": "markdown", - "id": "3896b3e6", + "id": "df84755b", "metadata": { "editable": true }, @@ -2265,7 +2265,7 @@ }, { "cell_type": "markdown", - "id": "ca47bd66", + "id": "b06436ad", "metadata": { "editable": true }, @@ -2277,7 +2277,7 @@ }, { "cell_type": "markdown", - "id": "1513e1d0", + "id": "587b6150", "metadata": { "editable": true }, @@ -2287,7 +2287,7 @@ }, { "cell_type": "markdown", - "id": "4b9bf25a", + "id": "b76d287d", "metadata": { "editable": true }, @@ -2299,7 +2299,7 @@ }, { "cell_type": "markdown", - "id": "2eeb03c8", + "id": "23c5a773", "metadata": { "editable": true }, @@ -2309,7 +2309,7 @@ }, { "cell_type": "markdown", - "id": "da278d8e", + "id": "cbcc9f1d", "metadata": { "editable": true }, @@ -2321,7 +2321,7 @@ }, { "cell_type": "markdown", - "id": "2b341903", + "id": "5122c264", "metadata": { "editable": true }, @@ -2338,7 +2338,7 @@ }, { "cell_type": "markdown", - "id": "e66723d1", + "id": "53acab64", "metadata": { "editable": true }, @@ -2351,7 +2351,7 @@ }, { "cell_type": "markdown", - "id": "85cff01a", + "id": "da978d1f", "metadata": { "editable": true }, @@ -2363,7 +2363,7 @@ }, { "cell_type": "markdown", - "id": "c3bdf4f5", + "id": "00e0cb68", "metadata": { "editable": true }, @@ -2373,7 +2373,7 @@ }, { "cell_type": "markdown", - "id": "1306ed38", + "id": "3007cfd4", "metadata": { "editable": true }, @@ -2386,7 +2386,7 @@ }, { "cell_type": "markdown", - "id": "00474af5", + "id": "4f1319c4", "metadata": { "editable": true }, @@ -2396,7 +2396,7 @@ }, { "cell_type": "markdown", - "id": "346ae1ad", + "id": "912ad3ed", "metadata": { "editable": true }, @@ -2408,7 +2408,7 @@ }, { "cell_type": "markdown", - "id": "36f83c2a", + "id": "c8ec9dd6", "metadata": { "editable": true }, @@ -2421,7 +2421,7 @@ }, { "cell_type": "markdown", - "id": "eb246827", + "id": "b9557d10", "metadata": { "editable": true }, @@ -2434,7 +2434,7 @@ }, { "cell_type": "markdown", - "id": "d38c34b0", + "id": "218a7c1b", "metadata": { "editable": true }, @@ -2446,7 +2446,7 @@ }, { "cell_type": "markdown", - "id": "e3f2141f", + "id": "901a6e63", "metadata": { "editable": true }, @@ -2458,7 +2458,7 @@ }, { "cell_type": "markdown", - "id": "74f56599", + "id": "7fcc6d59", "metadata": { "editable": true }, @@ -2468,7 +2468,7 @@ }, { "cell_type": "markdown", - "id": "ea246d4b", + "id": "f95ec485", "metadata": { "editable": true }, @@ -2481,7 +2481,7 @@ }, { "cell_type": "markdown", - "id": "c6b1faa8", + "id": "9756e227", "metadata": { "editable": true }, @@ -2493,7 +2493,7 @@ }, { "cell_type": "markdown", - "id": "7b2fc09f", + "id": "8126451c", "metadata": { "editable": true }, @@ -2505,7 +2505,7 @@ }, { "cell_type": "markdown", - "id": "a9f2c69a", + "id": "9a842551", "metadata": { "editable": true }, @@ -2515,7 +2515,7 @@ }, { "cell_type": "markdown", - "id": "2fb35c59", + "id": "d191fdbb", "metadata": { "editable": true }, @@ -2527,7 +2527,7 @@ }, { "cell_type": "markdown", - "id": "2e7636c6", + "id": "9dbed509", "metadata": { "editable": true }, @@ -2541,7 +2541,7 @@ }, { "cell_type": "markdown", - "id": "51bd5332", + "id": "deb632d6", "metadata": { "editable": true }, @@ -2553,7 +2553,7 @@ }, { "cell_type": "markdown", - "id": "bbd07896", + "id": "b11fefee", "metadata": { "editable": true }, @@ -2563,7 +2563,7 @@ }, { "cell_type": "markdown", - "id": "39cd7db8", + "id": "dbbeb39d", "metadata": { "editable": true }, @@ -2575,7 +2575,7 @@ }, { "cell_type": "markdown", - "id": "245333af", + "id": "f58964e9", "metadata": { "editable": true }, @@ -2587,7 +2587,7 @@ }, { "cell_type": "markdown", - "id": "5ea29678", + "id": "94a3ef6c", "metadata": { "editable": true }, @@ -2599,7 +2599,7 @@ }, { "cell_type": "markdown", - "id": "ad883534", + "id": "9e079bd5", "metadata": { "editable": true }, @@ -2618,7 +2618,7 @@ }, { "cell_type": "markdown", - "id": "54e5791f", + "id": "c3acf4d0", "metadata": { "editable": true }, @@ -2630,7 +2630,7 @@ }, { "cell_type": "markdown", - "id": "c406bcb3", + "id": "9a1d8d90", "metadata": { "editable": true }, @@ -2640,7 +2640,7 @@ }, { "cell_type": "markdown", - "id": "1a6f9659", + "id": "b30e117f", "metadata": { "editable": true }, @@ -2652,7 +2652,7 @@ }, { "cell_type": "markdown", - "id": "e2edbb3a", + "id": "da4ff9a6", "metadata": { "editable": true }, @@ -2664,7 +2664,7 @@ }, { "cell_type": "markdown", - "id": "402353ad", + "id": "fa2e2c64", "metadata": { "editable": true }, @@ -2676,7 +2676,7 @@ }, { "cell_type": "markdown", - "id": "423b6396", + "id": "6d2b7360", "metadata": { "editable": true }, @@ -2694,7 +2694,7 @@ }, { "cell_type": "markdown", - "id": "f1d49878", + "id": "9615255d", "metadata": { "editable": true }, @@ -2706,7 +2706,7 @@ }, { "cell_type": "markdown", - "id": "29e021c6", + "id": "58969e66", "metadata": { "editable": true }, @@ -2716,7 +2716,7 @@ }, { "cell_type": "markdown", - "id": "7ea41670", + "id": "d82ae993", "metadata": { "editable": true }, @@ -2728,7 +2728,7 @@ }, { "cell_type": "markdown", - "id": "b5c24d1b", + "id": "727855ea", "metadata": { "editable": true }, @@ -2738,7 +2738,7 @@ }, { "cell_type": "markdown", - "id": "5cde9430", + "id": "5bc34271", "metadata": { "editable": true }, @@ -2750,7 +2750,7 @@ }, { "cell_type": "markdown", - "id": "f8725e06", + "id": "b103f555", "metadata": { "editable": true }, @@ -2766,7 +2766,7 @@ }, { "cell_type": "markdown", - "id": "77595d78", + "id": "05ecb4d2", "metadata": { "editable": true }, @@ -2778,7 +2778,7 @@ }, { "cell_type": "markdown", - "id": "30d6a0a4", + "id": "3d45b148", "metadata": { "editable": true }, @@ -2788,7 +2788,7 @@ }, { "cell_type": "markdown", - "id": "e6aaeb07", + "id": "4b3da062", "metadata": { "editable": true }, @@ -2800,7 +2800,7 @@ }, { "cell_type": "markdown", - "id": "61f8860b", + "id": "8aa21d29", "metadata": { "editable": true }, @@ -2810,7 +2810,7 @@ }, { "cell_type": "markdown", - "id": "848fab1b", + "id": "fd85a55c", "metadata": { "editable": true }, @@ -2822,7 +2822,7 @@ }, { "cell_type": "markdown", - "id": "6b3f9c65", + "id": "f8247ac9", "metadata": { "editable": true }, @@ -2832,7 +2832,7 @@ }, { "cell_type": "markdown", - "id": "a4535489", + "id": "f41b615a", "metadata": { "editable": true }, @@ -2844,7 +2844,7 @@ }, { "cell_type": "markdown", - "id": "08d1dcfc", + "id": "59931b66", "metadata": { "editable": true }, @@ -2859,7 +2859,7 @@ }, { "cell_type": "markdown", - "id": "bfad6360", + "id": "72b3ba92", "metadata": { "editable": true }, @@ -2871,7 +2871,7 @@ }, { "cell_type": "markdown", - "id": "ececd781", + "id": "c2a3e54b", "metadata": { "editable": true }, @@ -2881,7 +2881,7 @@ }, { "cell_type": "markdown", - "id": "834ae242", + "id": "6ee94335", "metadata": { "editable": true }, @@ -2893,7 +2893,7 @@ }, { "cell_type": "markdown", - "id": "ef16a3d3", + "id": "2d9fee60", "metadata": { "editable": true }, @@ -2903,7 +2903,7 @@ }, { "cell_type": "markdown", - "id": "a40a2bf7", + "id": "c7bf140a", "metadata": { "editable": true }, @@ -2915,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "6c6b14af", + "id": "45ba39c1", "metadata": { "editable": true }, @@ -2925,7 +2925,7 @@ }, { "cell_type": "markdown", - "id": "d9fb8933", + "id": "2df21138", "metadata": { "editable": true }, @@ -2937,7 +2937,7 @@ }, { "cell_type": "markdown", - "id": "272cb2f8", + "id": "8254fbf3", "metadata": { "editable": true }, @@ -2947,7 +2947,7 @@ }, { "cell_type": "markdown", - "id": "fadce691", + "id": "ed8b98e6", "metadata": { "editable": true }, @@ -2959,7 +2959,7 @@ }, { "cell_type": "markdown", - "id": "c7cd5640", + "id": "91a4cf27", "metadata": { "editable": true }, @@ -2969,7 +2969,7 @@ }, { "cell_type": "markdown", - "id": "463185a0", + "id": "d73ccdd0", "metadata": { "editable": true }, @@ -2981,7 +2981,7 @@ }, { "cell_type": "markdown", - "id": "7b2748c6", + "id": "7a5982dd", "metadata": { "editable": true }, @@ -2991,7 +2991,7 @@ }, { "cell_type": "markdown", - "id": "14027ed3", + "id": "0eb2c91e", "metadata": { "editable": true }, @@ -3005,7 +3005,7 @@ }, { "cell_type": "markdown", - "id": "6ee85f1d", + "id": "c1dca2c2", "metadata": { "editable": true }, @@ -3018,7 +3018,7 @@ }, { "cell_type": "markdown", - "id": "b5208771", + "id": "fe91c3be", "metadata": { "editable": true }, @@ -3030,7 +3030,7 @@ }, { "cell_type": "markdown", - "id": "c1b21b70", + "id": "686d633f", "metadata": { "editable": true }, @@ -3040,7 +3040,7 @@ }, { "cell_type": "markdown", - "id": "c7f60db1", + "id": "8b108b5c", "metadata": { "editable": true }, @@ -3052,7 +3052,7 @@ }, { "cell_type": "markdown", - "id": "908ab8d8", + "id": "38a0a1c5", "metadata": { "editable": true }, @@ -3064,7 +3064,7 @@ }, { "cell_type": "markdown", - "id": "aebb6349", + "id": "8abd5c85", "metadata": { "editable": true }, @@ -3076,7 +3076,7 @@ }, { "cell_type": "markdown", - "id": "c5e7c53f", + "id": "3345e143", "metadata": { "editable": true }, @@ -3086,7 +3086,7 @@ }, { "cell_type": "markdown", - "id": "2197be2d", + "id": "3187cf1e", "metadata": { "editable": true }, @@ -3098,7 +3098,7 @@ }, { "cell_type": "markdown", - "id": "3d6f2196", + "id": "3d2a9090", "metadata": { "editable": true }, @@ -3110,7 +3110,7 @@ }, { "cell_type": "markdown", - "id": "5f340903", + "id": "b75f8729", "metadata": { "editable": true }, @@ -3122,7 +3122,7 @@ }, { "cell_type": "markdown", - "id": "11b0427e", + "id": "38d98009", "metadata": { "editable": true }, @@ -3132,7 +3132,7 @@ }, { "cell_type": "markdown", - "id": "963a0089", + "id": "13cb5fc3", "metadata": { "editable": true }, @@ -3144,7 +3144,7 @@ }, { "cell_type": "markdown", - "id": "7db2daaa", + "id": "93773fea", "metadata": { "editable": true }, @@ -3159,7 +3159,7 @@ }, { "cell_type": "markdown", - "id": "688d8588", + "id": "f34d26b5", "metadata": { "editable": true }, @@ -3171,7 +3171,7 @@ }, { "cell_type": "markdown", - "id": "711738d9", + "id": "f489bb3a", "metadata": { "editable": true }, @@ -3183,7 +3183,7 @@ }, { "cell_type": "markdown", - "id": "6c949f8e", + "id": "f101dfbb", "metadata": { "editable": true }, @@ -3193,7 +3193,7 @@ }, { "cell_type": "markdown", - "id": "0bbc3b07", + "id": "1d6d9ab6", "metadata": { "editable": true }, @@ -3205,7 +3205,7 @@ }, { "cell_type": "markdown", - "id": "1cbf8a76", + "id": "1bcbe166", "metadata": { "editable": true }, @@ -3215,7 +3215,7 @@ }, { "cell_type": "markdown", - "id": "8f10e5bd", + "id": "a987944d", "metadata": { "editable": true }, @@ -3227,7 +3227,7 @@ }, { "cell_type": "markdown", - "id": "b547328c", + "id": "8306031d", "metadata": { "editable": true }, @@ -3237,7 +3237,7 @@ }, { "cell_type": "markdown", - "id": "707c1a57", + "id": "dd98cec2", "metadata": { "editable": true }, @@ -3249,7 +3249,7 @@ }, { "cell_type": "markdown", - "id": "b90e6997", + "id": "c1e9a309", "metadata": { "editable": true }, @@ -3262,7 +3262,7 @@ }, { "cell_type": "markdown", - "id": "e4f6ca20", + "id": "505903b0", "metadata": { "editable": true }, @@ -3274,7 +3274,7 @@ }, { "cell_type": "markdown", - "id": "b3d7018c", + "id": "e779c9ea", "metadata": { "editable": true }, @@ -3286,7 +3286,7 @@ }, { "cell_type": "markdown", - "id": "9e6f1823", + "id": "39d385a9", "metadata": { "editable": true }, @@ -3296,7 +3296,7 @@ }, { "cell_type": "markdown", - "id": "ea3b2bf0", + "id": "e8cd530b", "metadata": { "editable": true }, @@ -3308,7 +3308,7 @@ }, { "cell_type": "markdown", - "id": "484b5cd4", + "id": "ead68a11", "metadata": { "editable": true }, @@ -3327,7 +3327,7 @@ }, { "cell_type": "markdown", - "id": "4861f625", + "id": "b0ab96bc", "metadata": { "editable": true }, @@ -3339,7 +3339,7 @@ }, { "cell_type": "markdown", - "id": "9928eadb", + "id": "46003ad2", "metadata": { "editable": true }, @@ -3349,7 +3349,7 @@ }, { "cell_type": "markdown", - "id": "c94a1223", + "id": "99fa4026", "metadata": { "editable": true }, @@ -3361,7 +3361,7 @@ }, { "cell_type": "markdown", - "id": "9bcaff12", + "id": "2bd2c1e6", "metadata": { "editable": true }, @@ -3371,7 +3371,7 @@ }, { "cell_type": "markdown", - "id": "1b7020d6", + "id": "db555f2e", "metadata": { "editable": true }, @@ -3383,7 +3383,7 @@ }, { "cell_type": "markdown", - "id": "51fce0e9", + "id": "ac172cde", "metadata": { "editable": true }, @@ -3393,7 +3393,7 @@ }, { "cell_type": "markdown", - "id": "c1fe81b2", + "id": "990497d7", "metadata": { "editable": true }, @@ -3405,7 +3405,7 @@ }, { "cell_type": "markdown", - "id": "414a2e5b", + "id": "3991a007", "metadata": { "editable": true }, @@ -3421,7 +3421,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "57451fca", + "id": "38060912", "metadata": { "collapsed": false, "editable": true @@ -3483,7 +3483,7 @@ }, { "cell_type": "markdown", - "id": "6d10b060", + "id": "2e7dc8bb", "metadata": { "editable": true }, @@ -3500,7 +3500,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "100f7dbb", + "id": "23ed1fbc", "metadata": { "collapsed": false, "editable": true @@ -3567,7 +3567,7 @@ }, { "cell_type": "markdown", - "id": "3d50bfd5", + "id": "924e8e81", "metadata": { "editable": true }, @@ -3586,7 +3586,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "409f405d", + "id": "0abdae31", "metadata": { "collapsed": false, "editable": true @@ -3675,7 +3675,7 @@ }, { "cell_type": "markdown", - "id": "50e9be28", + "id": "fba395ed", "metadata": { "editable": true }, @@ -3690,7 +3690,7 @@ }, { "cell_type": "markdown", - "id": "4c5c2565", + "id": "fcb0e136", "metadata": { "editable": true }, @@ -3719,7 +3719,7 @@ }, { "cell_type": "markdown", - "id": "f264b531", + "id": "405523ba", "metadata": { "editable": true }, @@ -3735,7 +3735,7 @@ }, { "cell_type": "markdown", - "id": "800b179f", + "id": "007393d7", "metadata": { "editable": true }, @@ -3758,7 +3758,7 @@ }, { "cell_type": "markdown", - "id": "b4815186", + "id": "d0c77724", "metadata": { "editable": true }, @@ -3770,7 +3770,7 @@ }, { "cell_type": "markdown", - "id": "2a343970", + "id": "bc0be2c7", "metadata": { "editable": true }, @@ -3781,7 +3781,7 @@ }, { "cell_type": "markdown", - "id": "358077b0", + "id": "b0520d5f", "metadata": { "editable": true }, @@ -3793,7 +3793,7 @@ }, { "cell_type": "markdown", - "id": "73f23e81", + "id": "9697d980", "metadata": { "editable": true }, @@ -3803,7 +3803,7 @@ }, { "cell_type": "markdown", - "id": "bebdffa9", + "id": "7ac89ed1", "metadata": { "editable": true }, @@ -3819,7 +3819,7 @@ }, { "cell_type": "markdown", - "id": "8c38cb47", + "id": "893b3845", "metadata": { "editable": true }, @@ -3830,7 +3830,7 @@ }, { "cell_type": "markdown", - "id": "193c47ee", + "id": "9bf528ea", "metadata": { "editable": true }, @@ -3853,7 +3853,7 @@ }, { "cell_type": "markdown", - "id": "92832b0a", + "id": "ec1d299e", "metadata": { "editable": true }, @@ -3866,7 +3866,7 @@ }, { "cell_type": "markdown", - "id": "5f517886", + "id": "6f530077", "metadata": { "editable": true }, @@ -3878,7 +3878,7 @@ }, { "cell_type": "markdown", - "id": "f9dea445", + "id": "d59b6d73", "metadata": { "editable": true }, @@ -3892,7 +3892,7 @@ }, { "cell_type": "markdown", - "id": "3aececb1", + "id": "f002ceed", "metadata": { "editable": true }, @@ -3923,7 +3923,7 @@ }, { "cell_type": "markdown", - "id": "f38f2849", + "id": "af17a800", "metadata": { "editable": true }, @@ -3945,7 +3945,7 @@ }, { "cell_type": "markdown", - "id": "47dbc181", + "id": "4ea124bc", "metadata": { "editable": true }, @@ -3957,7 +3957,7 @@ }, { "cell_type": "markdown", - "id": "a409614d", + "id": "e52365d1", "metadata": { "editable": true }, @@ -3970,7 +3970,7 @@ }, { "cell_type": "markdown", - "id": "32e59beb", + "id": "4a4304e3", "metadata": { "editable": true }, @@ -3982,7 +3982,7 @@ }, { "cell_type": "markdown", - "id": "e5d38011", + "id": "60ee36ba", "metadata": { "editable": true }, @@ -3994,7 +3994,7 @@ }, { "cell_type": "markdown", - "id": "999a6bc6", + "id": "6d45eb3d", "metadata": { "editable": true }, @@ -4006,7 +4006,7 @@ }, { "cell_type": "markdown", - "id": "888f1db7", + "id": "9699a1b3", "metadata": { "editable": true }, @@ -4018,7 +4018,7 @@ }, { "cell_type": "markdown", - "id": "76360bbe", + "id": "3da5b6e5", "metadata": { "editable": true }, @@ -4041,7 +4041,7 @@ }, { "cell_type": "markdown", - "id": "6b1976cd", + "id": "16978065", "metadata": { "editable": true }, @@ -4053,7 +4053,7 @@ }, { "cell_type": "markdown", - "id": "5ff419a1", + "id": "b9344e4c", "metadata": { "editable": true }, @@ -4064,7 +4064,7 @@ }, { "cell_type": "markdown", - "id": "82730c14", + "id": "a75674b4", "metadata": { "editable": true }, @@ -4076,7 +4076,7 @@ }, { "cell_type": "markdown", - "id": "4982965d", + "id": "f2fc7e17", "metadata": { "editable": true }, @@ -4088,7 +4088,7 @@ }, { "cell_type": "markdown", - "id": "ab4c31a7", + "id": "082c96dc", "metadata": { "editable": true }, @@ -4100,7 +4100,7 @@ }, { "cell_type": "markdown", - "id": "768cb1fc", + "id": "8454e9a8", "metadata": { "editable": true }, @@ -4111,7 +4111,7 @@ }, { "cell_type": "markdown", - "id": "f9f0c7f3", + "id": "672c4793", "metadata": { "editable": true }, @@ -4123,7 +4123,7 @@ }, { "cell_type": "markdown", - "id": "c617cdd7", + "id": "6f91625b", "metadata": { "editable": true }, @@ -4134,7 +4134,7 @@ }, { "cell_type": "markdown", - "id": "760dd73f", + "id": "0fb07f7b", "metadata": { "editable": true }, @@ -4146,7 +4146,7 @@ }, { "cell_type": "markdown", - "id": "0fd8cbb0", + "id": "670ac661", "metadata": { "editable": true }, @@ -4181,7 +4181,7 @@ }, { "cell_type": "markdown", - "id": "bbfab5d3", + "id": "3ee59148", "metadata": { "editable": true }, @@ -4193,7 +4193,7 @@ }, { "cell_type": "markdown", - "id": "f4ee97d7", + "id": "d677bb4b", "metadata": { "editable": true }, @@ -4203,7 +4203,7 @@ }, { "cell_type": "markdown", - "id": "1e74d52d", + "id": "6c5f83e5", "metadata": { "editable": true }, @@ -4215,7 +4215,7 @@ }, { "cell_type": "markdown", - "id": "b983cb4c", + "id": "cffe270c", "metadata": { "editable": true }, @@ -4225,7 +4225,7 @@ }, { "cell_type": "markdown", - "id": "c90a8ed0", + "id": "dbfc8d33", "metadata": { "editable": true }, @@ -4237,7 +4237,7 @@ }, { "cell_type": "markdown", - "id": "f38fcc19", + "id": "4cccd33d", "metadata": { "editable": true }, @@ -4247,7 +4247,7 @@ }, { "cell_type": "markdown", - "id": "348010f6", + "id": "f0c6c8da", "metadata": { "editable": true }, @@ -4259,7 +4259,7 @@ }, { "cell_type": "markdown", - "id": "cd33a62d", + "id": "ca3e371e", "metadata": { "editable": true }, @@ -4279,7 +4279,7 @@ }, { "cell_type": "markdown", - "id": "2bb675c1", + "id": "3696b23c", "metadata": { "editable": true }, @@ -4291,7 +4291,7 @@ }, { "cell_type": "markdown", - "id": "d1ff7ab5", + "id": "b395ecc7", "metadata": { "editable": true }, @@ -4301,7 +4301,7 @@ }, { "cell_type": "markdown", - "id": "80d51bf1", + "id": "e18367e7", "metadata": { "editable": true }, @@ -4313,7 +4313,7 @@ }, { "cell_type": "markdown", - "id": "3eb856c7", + "id": "c72b9de9", "metadata": { "editable": true }, @@ -4327,7 +4327,7 @@ }, { "cell_type": "markdown", - "id": "84c98a40", + "id": "bd9a0af8", "metadata": { "editable": true }, @@ -4339,7 +4339,7 @@ }, { "cell_type": "markdown", - "id": "094f6489", + "id": "15b07238", "metadata": { "editable": true }, @@ -4349,7 +4349,7 @@ }, { "cell_type": "markdown", - "id": "40b87dab", + "id": "ad5ff28d", "metadata": { "editable": true }, @@ -4361,7 +4361,7 @@ }, { "cell_type": "markdown", - "id": "02ee6009", + "id": "faead94c", "metadata": { "editable": true }, @@ -4371,7 +4371,7 @@ }, { "cell_type": "markdown", - "id": "c9b83f7e", + "id": "d7611ab2", "metadata": { "editable": true }, @@ -4383,7 +4383,7 @@ }, { "cell_type": "markdown", - "id": "28693db1", + "id": "d769b2ab", "metadata": { "editable": true }, @@ -4393,7 +4393,7 @@ }, { "cell_type": "markdown", - "id": "cd0819c2", + "id": "c23dd9bc", "metadata": { "editable": true }, @@ -4405,7 +4405,7 @@ }, { "cell_type": "markdown", - "id": "c73d36a3", + "id": "ca52774f", "metadata": { "editable": true }, @@ -4441,7 +4441,7 @@ }, { "cell_type": "markdown", - "id": "779d9389", + "id": "b8518297", "metadata": { "editable": true }, @@ -4453,7 +4453,7 @@ }, { "cell_type": "markdown", - "id": "63db00a0", + "id": "88c98eb4", "metadata": { "editable": true }, @@ -4466,7 +4466,7 @@ }, { "cell_type": "markdown", - "id": "ab01099c", + "id": "e2334bed", "metadata": { "editable": true }, @@ -4478,7 +4478,7 @@ }, { "cell_type": "markdown", - "id": "ec0ebb28", + "id": "f4aef077", "metadata": { "editable": true }, @@ -4492,7 +4492,7 @@ }, { "cell_type": "markdown", - "id": "4c432161", + "id": "3090686c", "metadata": { "editable": true }, @@ -4504,7 +4504,7 @@ }, { "cell_type": "markdown", - "id": "03d0cdb8", + "id": "624a5816", "metadata": { "editable": true }, @@ -4515,7 +4515,7 @@ }, { "cell_type": "markdown", - "id": "8d7a0ad2", + "id": "2d4d1d7a", "metadata": { "editable": true }, @@ -4527,7 +4527,7 @@ }, { "cell_type": "markdown", - "id": "fcdc27a1", + "id": "fcbd4971", "metadata": { "editable": true }, @@ -4539,7 +4539,7 @@ }, { "cell_type": "markdown", - "id": "e773eb9e", + "id": "5e432bdf", "metadata": { "editable": true }, @@ -4557,7 +4557,7 @@ }, { "cell_type": "markdown", - "id": "3892720e", + "id": "82b481e6", "metadata": { "editable": true }, @@ -4575,7 +4575,7 @@ }, { "cell_type": "markdown", - "id": "c68513be", + "id": "2dc44209", "metadata": { "editable": true }, @@ -4585,7 +4585,7 @@ }, { "cell_type": "markdown", - "id": "db1bcf38", + "id": "b87f7b48", "metadata": { "editable": true }, @@ -4614,7 +4614,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "aa27ede9", + "id": "f0857c9a", "metadata": { "collapsed": false, "editable": true @@ -4688,7 +4688,7 @@ }, { "cell_type": "markdown", - "id": "66975598", + "id": "d26c117a", "metadata": { "editable": true }, @@ -4718,7 +4718,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "f90a238f", + "id": "612caaa8", "metadata": { "collapsed": false, "editable": true @@ -4767,7 +4767,7 @@ }, { "cell_type": "markdown", - "id": "d32f4700", + "id": "11b2f0cf", "metadata": { "editable": true }, @@ -4783,7 +4783,7 @@ }, { "cell_type": "markdown", - "id": "5292b482", + "id": "73e296f1", "metadata": { "editable": true }, @@ -4801,7 +4801,7 @@ }, { "cell_type": "markdown", - "id": "6b827637", + "id": "b3da0a8c", "metadata": { "editable": true }, @@ -4813,7 +4813,7 @@ }, { "cell_type": "markdown", - "id": "6e73b7d4", + "id": "aae3f8ca", "metadata": { "editable": true }, @@ -4823,7 +4823,7 @@ }, { "cell_type": "markdown", - "id": "ead2878e", + "id": "d2b6b2a4", "metadata": { "editable": true }, @@ -4835,7 +4835,7 @@ }, { "cell_type": "markdown", - "id": "1302f31e", + "id": "beb2f725", "metadata": { "editable": true }, @@ -4845,7 +4845,7 @@ }, { "cell_type": "markdown", - "id": "dd411d77", + "id": "21d0b357", "metadata": { "editable": true }, @@ -4857,7 +4857,7 @@ }, { "cell_type": "markdown", - "id": "01dcd800", + "id": "599e0431", "metadata": { "editable": true }, @@ -4867,7 +4867,7 @@ }, { "cell_type": "markdown", - "id": "0a3fa1e5", + "id": "4ccbc8fe", "metadata": { "editable": true }, @@ -4879,7 +4879,7 @@ }, { "cell_type": "markdown", - "id": "e5ce5ac4", + "id": "1ba0163a", "metadata": { "editable": true }, @@ -4897,7 +4897,7 @@ }, { "cell_type": "markdown", - "id": "9221bb65", + "id": "ee506bef", "metadata": { "editable": true }, @@ -4909,7 +4909,7 @@ }, { "cell_type": "markdown", - "id": "0e7f22c4", + "id": "1763b92d", "metadata": { "editable": true }, @@ -4919,7 +4919,7 @@ }, { "cell_type": "markdown", - "id": "3565934d", + "id": "ab778325", "metadata": { "editable": true }, @@ -4931,7 +4931,7 @@ }, { "cell_type": "markdown", - "id": "5c4b9c3a", + "id": "97ccc31d", "metadata": { "editable": true }, @@ -4944,7 +4944,7 @@ }, { "cell_type": "markdown", - "id": "f91f265b", + "id": "1e2a47c9", "metadata": { "editable": true }, @@ -4956,7 +4956,7 @@ }, { "cell_type": "markdown", - "id": "a0427716", + "id": "57de9aac", "metadata": { "editable": true }, @@ -4966,7 +4966,7 @@ }, { "cell_type": "markdown", - "id": "117eb03b", + "id": "e6de5d0d", "metadata": { "editable": true }, @@ -4978,7 +4978,7 @@ }, { "cell_type": "markdown", - "id": "9015a44a", + "id": "43d04ae5", "metadata": { "editable": true }, @@ -4990,7 +4990,7 @@ }, { "cell_type": "markdown", - "id": "a184ac5a", + "id": "181af975", "metadata": { "editable": true }, @@ -5002,7 +5002,7 @@ }, { "cell_type": "markdown", - "id": "ae799fbe", + "id": "e181c4e4", "metadata": { "editable": true }, @@ -5012,7 +5012,7 @@ }, { "cell_type": "markdown", - "id": "055d1b54", + "id": "4c8e7729", "metadata": { "editable": true }, @@ -5024,7 +5024,7 @@ }, { "cell_type": "markdown", - "id": "104615f6", + "id": "3412c1e0", "metadata": { "editable": true }, @@ -5036,7 +5036,7 @@ }, { "cell_type": "markdown", - "id": "8d868c3b", + "id": "84009c6f", "metadata": { "editable": true }, @@ -5048,7 +5048,7 @@ }, { "cell_type": "markdown", - "id": "c88440ff", + "id": "77b554c8", "metadata": { "editable": true }, @@ -5058,7 +5058,7 @@ }, { "cell_type": "markdown", - "id": "07c1232a", + "id": "3ac87d91", "metadata": { "editable": true }, @@ -5070,7 +5070,7 @@ }, { "cell_type": "markdown", - "id": "8416dffb", + "id": "fbcf5797", "metadata": { "editable": true }, @@ -5083,7 +5083,7 @@ "$2\\tau^2=1/\\lambda$ while for the Gaussian distribution it is\n", "$\\sigma^2=1/(2\\lambda)$. Thus, increasing the variance means\n", "decreasing $\\lambda$ and shrinking the variance means increasing\n", - "$\\lamdbda$. When we increase $\\lambda$, this corresponds to shrinking the role of less important features (small singular values)." + "$\\lambda$. When we increase $\\lambda$, this corresponds to shrinking the role of less important features (small singular values)." ] } ], diff --git a/doc/LectureNotes/_build/html/chapter2.html b/doc/LectureNotes/_build/html/chapter2.html index de0d50a77..4a7347685 100644 --- a/doc/LectureNotes/_build/html/chapter2.html +++ b/doc/LectureNotes/_build/html/chapter2.html @@ -1210,10 +1210,10 @@ covariance matrix through the np.linalg.eig() function.

-
-0.01591355407242949
-3.6808538439837775
-[[ 0.96390357  2.99157584]
- [ 2.99157584 10.31120247]]
+
-0.02762405215108776
+3.9005135872087155
+[[0.81974332 2.54886137]
+ [2.54886137 8.96601782]]
@@ -1250,10 +1250,10 @@ a more brute force way. Here we scale the mean values for each column of the des
-
0.08612280083325631
-1.6149274949460215
-[[1.         0.66934291]
- [0.66934291 1.        ]]
+
0.08356774001062162
+1.415534701258823
+[[1.         0.53815559]
+ [0.53815559 1.        ]]
@@ -1283,30 +1283,30 @@ this matrix we easily see that it is a positive definite matrix.

-
[[-1.04649105 -2.92658312]
- [ 0.45985488  1.43876695]
- [-0.41081513 -1.96426825]
- [ 1.75703965  4.88736621]
- [ 1.02698605  3.59304008]
- [-0.71348713 -1.98249059]
- [-0.22685646  0.37866422]
- [-0.90559087 -1.31597731]
- [-0.60349429 -3.47245463]
- [ 0.66285434  1.36393643]]
+
[[ 0.99594988  1.80661365]
+ [ 0.59616454  1.54671213]
+ [-0.93676229 -3.41351287]
+ [-0.2942772  -0.48952201]
+ [ 0.31574634  1.86425056]
+ [ 0.57888946  1.08188077]
+ [ 0.379203    0.55808001]
+ [ 0.55824107  2.14995486]
+ [ 0.20609082  0.88908038]
+ [-2.39924562 -5.99353748]]
           0         1
-0 -1.046491 -2.926583
-1  0.459855  1.438767
-2 -0.410815 -1.964268
-3  1.757040  4.887366
-4  1.026986  3.593040
-5 -0.713487 -1.982491
-6 -0.226856  0.378664
-7 -0.905591 -1.315977
-8 -0.603494 -3.472455
-9  0.662854  1.363936
+0  0.995950  1.806614
+1  0.596165  1.546712
+2 -0.936762 -3.413513
+3 -0.294277 -0.489522
+4  0.315746  1.864251
+5  0.578889  1.081881
+6  0.379203  0.558080
+7  0.558241  2.149955
+8  0.206091  0.889080
+9 -2.399246 -5.993537
           0         1
-0  1.000000  0.948641
-1  0.948641  1.000000
+0  1.000000  0.970057
+1  0.970057  1.000000
@@ -1363,37 +1363,37 @@ this matrix we easily see that it is a positive definite matrix.

     0         1         2         3         4         5         6         7   \
 0   0.0  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000   
-1   0.0  0.084846  0.071547  0.086679  0.078725  0.071480  0.079609  0.073320   
-2   0.0  0.071547  0.061716  0.073647  0.067908  0.062640  0.068417  0.063857   
-3   0.0  0.086679  0.073647  0.094619  0.086262  0.078697  0.090356  0.083579   
-4   0.0  0.078725  0.067908  0.086262  0.079483  0.073303  0.082874  0.077375   
-5   0.0  0.071480  0.062640  0.078697  0.073303  0.068345  0.076121  0.071741   
-6   0.0  0.079609  0.068417  0.090356  0.082874  0.076121  0.088460  0.082267   
-7   0.0  0.073320  0.063857  0.083579  0.077375  0.071741  0.082267  0.077131   
-8   0.0  0.067787  0.059824  0.077620  0.072521  0.067856  0.076821  0.072597   
-9   0.0  0.062888  0.056235  0.072352  0.068210  0.064388  0.072008  0.068573   
-10  0.0  0.071906  0.062551  0.083694  0.077291  0.071515  0.083361  0.077978   
-11  0.0  0.066654  0.058715  0.077948  0.072611  0.067767  0.078042  0.073548   
-12  0.0  0.062061  0.055344  0.072918  0.068500  0.064461  0.073380  0.069654   
-13  0.0  0.058033  0.052372  0.068505  0.064880  0.061538  0.069285  0.066223   
-14  0.0  0.054491  0.049747  0.064623  0.061685  0.058948  0.065680  0.063192   
+1   0.0  0.071441  0.075840  0.068261  0.072824  0.077706  0.057587  0.061646   
+2   0.0  0.075840  0.081837  0.071552  0.076958  0.082846  0.060016  0.064609   
+3   0.0  0.068261  0.071552  0.068799  0.073134  0.077711  0.060288  0.064431   
+4   0.0  0.072824  0.076958  0.073134  0.078101  0.083399  0.063979  0.068619   
+5   0.0  0.077706  0.082846  0.077711  0.083399  0.089524  0.067854  0.073045   
+6   0.0  0.057587  0.060016  0.060288  0.063979  0.067854  0.054411  0.058088   
+7   0.0  0.061646  0.064609  0.064431  0.068619  0.073045  0.058088  0.062195   
+8   0.0  0.066064  0.069651  0.068920  0.073668  0.078719  0.062064  0.066651   
+9   0.0  0.070874  0.075192  0.073777  0.079158  0.084920  0.066356  0.071476   
+10  0.0  0.047953  0.049858  0.051662  0.054774  0.058035  0.047737  0.050910   
+11  0.0  0.051391  0.053678  0.055302  0.058816  0.062517  0.051043  0.054582   
+12  0.0  0.055153  0.057877  0.059278  0.063241  0.067437  0.054650  0.058596   
+13  0.0  0.059272  0.062498  0.063619  0.068087  0.072839  0.058585  0.062983   
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           8         9         10        11        12        13        14  
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@@ -3064,7 +3064,7 @@ C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{ \(2\tau^2=1/\lambda\) while for the Gaussian distribution it is \(\sigma^2=1/(2\lambda)\). Thus, increasing the variance means decreasing \(\lambda\) and shrinking the variance means increasing -\(\lamdbda\). When we increase \(\lambda\), this corresponds to shrinking the role of less important features (small singular values).

+\(\lambda\). When we increase \(\lambda\), this corresponds to shrinking the role of less important features (small singular values).

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"dd54f5e1", "metadata": { "editable": true }, @@ -1204,7 +1204,7 @@ }, { "cell_type": "markdown", - "id": "310034bb", + "id": "af9ca16d", "metadata": { "editable": true }, @@ -1214,7 +1214,7 @@ }, { "cell_type": "markdown", - "id": "efadf88e", + "id": "8a3efbe2", "metadata": { "editable": true }, @@ -1226,7 +1226,7 @@ }, { "cell_type": "markdown", - "id": "293eece5", + "id": "da1b0f7a", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "66ead26c", + "id": "ffa9eacb", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "67b71310", + "id": "f2ca14c9", "metadata": { "editable": true }, @@ -1260,7 +1260,7 @@ }, { "cell_type": "markdown", - "id": "fa804884", + "id": "5012ca70", "metadata": { "editable": true }, @@ -1272,7 +1272,7 @@ }, { "cell_type": "markdown", - "id": "ac661f44", + "id": "496c0b8e", "metadata": { "editable": true }, @@ -1284,7 +1284,7 @@ }, { "cell_type": "markdown", - "id": "1d195b3c", + "id": "7ff42835", "metadata": { "editable": true }, @@ -1294,7 +1294,7 @@ }, { "cell_type": "markdown", - "id": "38865678", + "id": "8d1bbdbd", "metadata": { "editable": true }, @@ -1306,7 +1306,7 @@ }, { "cell_type": "markdown", - "id": "07a7126d", + "id": "40188d47", "metadata": { "editable": true }, @@ -1317,7 +1317,7 @@ }, { "cell_type": "markdown", - "id": "1375bb2d", + "id": "5e56c0d6", "metadata": { "editable": true }, @@ -1329,7 +1329,7 @@ }, { "cell_type": "markdown", - "id": "6b32590d", + "id": "4844b966", "metadata": { "editable": true }, @@ -1339,7 +1339,7 @@ }, { "cell_type": "markdown", - "id": "0bfefb07", + "id": "0be0baee", "metadata": { "editable": true }, @@ -1351,7 +1351,7 @@ }, { "cell_type": "markdown", - "id": "c9a62b75", + "id": "a7ecfbab", "metadata": { "editable": true }, @@ -1361,7 +1361,7 @@ }, { "cell_type": "markdown", - "id": "c591bfc0", + "id": "a2f7319b", "metadata": { "editable": true }, @@ -1373,7 +1373,7 @@ }, { "cell_type": "markdown", - "id": "d7fa31d3", + "id": "f99b3e74", "metadata": { "editable": true }, @@ -1384,7 +1384,7 @@ }, { "cell_type": "markdown", - "id": "d132cee3", + "id": "7c380068", "metadata": { "editable": true }, @@ -1396,7 +1396,7 @@ }, { "cell_type": "markdown", - "id": "7aa7f89c", + "id": "ef11d6bd", "metadata": { "editable": true }, @@ -1414,7 +1414,7 @@ }, { "cell_type": "markdown", - "id": "8e546bb5", + "id": "96ead7be", "metadata": { "editable": true }, @@ -1430,7 +1430,7 @@ }, { "cell_type": "markdown", - "id": "96d8b53c", + "id": "3db4d405", "metadata": { "editable": true }, @@ -1442,7 +1442,7 @@ }, { "cell_type": "markdown", - "id": "c7e05a9b", + "id": "c04a4bba", "metadata": { "editable": true }, @@ -1454,7 +1454,7 @@ }, { "cell_type": "markdown", - "id": "55fd14e4", + "id": "914c7435", "metadata": { "editable": true }, @@ -1466,7 +1466,7 @@ }, { "cell_type": "markdown", - "id": "09320523", + "id": "32e60caa", "metadata": { "editable": true }, @@ -1485,7 +1485,7 @@ }, { "cell_type": "markdown", - "id": "23b5cf2d", + "id": "eb3fa57a", "metadata": { "editable": true }, @@ -1499,7 +1499,7 @@ }, { "cell_type": "markdown", - "id": "136c43bc", + "id": "0bfaa260", "metadata": { "editable": true }, @@ -1509,7 +1509,7 @@ }, { "cell_type": "markdown", - "id": "b52fc8e3", + "id": "615b7985", "metadata": { "editable": true }, @@ -1521,7 +1521,7 @@ }, { "cell_type": "markdown", - "id": "fe153c88", + "id": "263abdfd", "metadata": { "editable": true }, @@ -1531,7 +1531,7 @@ }, { "cell_type": "markdown", - "id": "ea57dd81", + "id": "17e3aa1b", "metadata": { "editable": true }, @@ -1543,7 +1543,7 @@ }, { "cell_type": "markdown", - "id": "f8154bc8", + "id": "f32e5f0c", "metadata": { "editable": true }, @@ -1553,7 +1553,7 @@ }, { "cell_type": "markdown", - "id": "081adf91", + "id": "93e581f5", "metadata": { "editable": true }, @@ -1567,7 +1567,7 @@ }, { "cell_type": "markdown", - "id": "d61424f0", + "id": "7c1e2e6d", "metadata": { "editable": true }, @@ -1590,7 +1590,7 @@ }, { "cell_type": "markdown", - "id": "1f517794", + "id": "ffe5d318", "metadata": { "editable": true }, @@ -1602,7 +1602,7 @@ }, { "cell_type": "markdown", - "id": "27c43f34", + "id": "f1ef1af4", "metadata": { "editable": true }, @@ -1615,7 +1615,7 @@ }, { "cell_type": "markdown", - "id": "35ac64e2", + "id": "4caeb714", "metadata": { "editable": true }, @@ -1629,7 +1629,7 @@ }, { "cell_type": "markdown", - "id": "7ec11e59", + "id": "1ae8bc37", "metadata": { "editable": true }, @@ -1642,7 +1642,7 @@ }, { "cell_type": "markdown", - "id": "8d1a1a24", + "id": "40a65636", "metadata": { "editable": true }, @@ -1661,7 +1661,7 @@ }, { "cell_type": "markdown", - "id": "b12f1560", + "id": "2391a067", "metadata": { "editable": true }, @@ -1673,7 +1673,7 @@ }, { "cell_type": "markdown", - "id": "7975e5ec", + "id": "6e520869", "metadata": { "editable": true }, @@ -1685,7 +1685,7 @@ }, { "cell_type": "markdown", - "id": "4628dae3", + "id": "fb16e030", "metadata": { "editable": true }, @@ -1695,7 +1695,7 @@ }, { "cell_type": "markdown", - "id": "6acd55ed", + "id": "2ca4a36d", "metadata": { "editable": true }, @@ -1707,7 +1707,7 @@ }, { "cell_type": "markdown", - "id": "15268d5e", + "id": "d69c7401", "metadata": { "editable": true }, @@ -1720,7 +1720,7 @@ }, { "cell_type": "markdown", - "id": "f7cc7e46", + "id": "a09849f0", "metadata": { "editable": true }, @@ -1739,7 +1739,7 @@ }, { "cell_type": "markdown", - "id": "91f506bb", + "id": "c675263c", "metadata": { "editable": true }, @@ -1749,7 +1749,7 @@ }, { "cell_type": "markdown", - "id": "3f65d15d", + "id": "bc777568", "metadata": { "editable": true }, @@ -1768,7 +1768,7 @@ }, { "cell_type": "markdown", - "id": "4dda44f3", + "id": "0256a11f", "metadata": { "editable": true }, @@ -1784,7 +1784,7 @@ }, { "cell_type": "markdown", - "id": "3a6e7b9b", + "id": "1536b648", "metadata": { "editable": true }, @@ -1798,7 +1798,7 @@ }, { "cell_type": "markdown", - "id": "d907b263", + "id": "55352138", "metadata": { "editable": true }, @@ -1813,7 +1813,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "8dbb102f", + "id": "787cdcf2", "metadata": { "collapsed": false, "editable": true @@ -1823,10 +1823,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "-0.01591355407242949\n", - "3.6808538439837775\n", - "[[ 0.96390357 2.99157584]\n", - " [ 2.99157584 10.31120247]]\n" + "-0.02762405215108776\n", + "3.9005135872087155\n", + "[[0.81974332 2.54886137]\n", + " [2.54886137 8.96601782]]\n" ] } ], @@ -1845,7 +1845,7 @@ }, { "cell_type": "markdown", - "id": "25852e86", + "id": "2dab6ee7", "metadata": { "editable": true }, @@ -1860,7 +1860,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "cb3ee7b6", + "id": "5aa179ff", "metadata": { "collapsed": false, "editable": true @@ -1870,10 +1870,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.08612280083325631\n", - "1.6149274949460215\n", - "[[1. 0.66934291]\n", - " [0.66934291 1. ]]\n" + "0.08356774001062162\n", + "1.415534701258823\n", + "[[1. 0.53815559]\n", + " [0.53815559 1. ]]\n" ] } ], @@ -1903,7 +1903,7 @@ }, { "cell_type": "markdown", - "id": "6f2860ea", + "id": "d42d1ba1", "metadata": { "editable": true }, @@ -1920,7 +1920,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "48781620", + "id": "944a3986", "metadata": { "collapsed": false, "editable": true @@ -1930,30 +1930,30 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[-1.04649105 -2.92658312]\n", - " [ 0.45985488 1.43876695]\n", - " [-0.41081513 -1.96426825]\n", - " [ 1.75703965 4.88736621]\n", - " [ 1.02698605 3.59304008]\n", - " [-0.71348713 -1.98249059]\n", - " [-0.22685646 0.37866422]\n", - " [-0.90559087 -1.31597731]\n", - " [-0.60349429 -3.47245463]\n", - " [ 0.66285434 1.36393643]]\n", + "[[ 0.99594988 1.80661365]\n", + " [ 0.59616454 1.54671213]\n", + " [-0.93676229 -3.41351287]\n", + " [-0.2942772 -0.48952201]\n", + " [ 0.31574634 1.86425056]\n", + " [ 0.57888946 1.08188077]\n", + " [ 0.379203 0.55808001]\n", + " [ 0.55824107 2.14995486]\n", + " [ 0.20609082 0.88908038]\n", + " [-2.39924562 -5.99353748]]\n", " 0 1\n", - "0 -1.046491 -2.926583\n", - "1 0.459855 1.438767\n", - "2 -0.410815 -1.964268\n", - "3 1.757040 4.887366\n", - "4 1.026986 3.593040\n", - "5 -0.713487 -1.982491\n", - "6 -0.226856 0.378664\n", - "7 -0.905591 -1.315977\n", - "8 -0.603494 -3.472455\n", - "9 0.662854 1.363936\n", + "0 0.995950 1.806614\n", + "1 0.596165 1.546712\n", + "2 -0.936762 -3.413513\n", + "3 -0.294277 -0.489522\n", + "4 0.315746 1.864251\n", + "5 0.578889 1.081881\n", + "6 0.379203 0.558080\n", + "7 0.558241 2.149955\n", + "8 0.206091 0.889080\n", + "9 -2.399246 -5.993537\n", " 0 1\n", - "0 1.000000 0.948641\n", - "1 0.948641 1.000000\n" + "0 1.000000 0.970057\n", + "1 0.970057 1.000000\n" ] } ], @@ -1976,7 +1976,7 @@ }, { "cell_type": "markdown", - "id": "4ccdedad", + "id": "0a3924ea", "metadata": { "editable": true }, @@ -1987,7 +1987,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e4090257", + "id": "0f1f92fe", "metadata": { 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0.077062 0.054340 0.058416 0.062881 0.067769 0.073120 \n", + "9 0.077062 0.083151 0.058040 0.062563 0.067525 0.072970 0.078942 \n", + "10 0.054340 0.058040 0.042708 0.045603 0.048762 0.052206 0.055958 \n", + "11 0.058416 0.062563 0.045603 0.048818 0.052330 0.056165 0.060349 \n", + "12 0.062881 0.067525 0.048762 0.052330 0.056233 0.060502 0.065168 \n", + "13 0.067769 0.072970 0.052206 0.056165 0.060502 0.065252 0.070453 \n", + "14 0.073120 0.078942 0.055958 0.060349 0.065168 0.070453 0.076248 \n" ] } ], @@ -2081,7 +2081,7 @@ }, { "cell_type": "markdown", - "id": "6547bf2f", + "id": "62b00f06", "metadata": { "editable": true }, @@ -2100,7 +2100,7 @@ }, { "cell_type": "markdown", - "id": "4e26eab7", + "id": "26755601", "metadata": { "editable": true }, @@ -2112,7 +2112,7 @@ }, { "cell_type": "markdown", - "id": "7f6a0df9", + "id": "bc5ac54d", "metadata": { "editable": true }, @@ -2122,7 +2122,7 @@ }, { "cell_type": "markdown", - "id": "5ff73ba2", + "id": "bbd7b46c", "metadata": { "editable": true }, @@ -2139,7 +2139,7 @@ }, { "cell_type": "markdown", - "id": "ae6e2e42", + "id": "ad63cfb3", "metadata": { "editable": true }, @@ -2149,7 +2149,7 @@ }, { "cell_type": "markdown", - "id": "87a8dccc", + "id": "bbb4b936", "metadata": { "editable": true }, @@ -2164,7 +2164,7 @@ }, { "cell_type": "markdown", - "id": "1db8e000", + "id": "6f7840f0", "metadata": { "editable": true }, @@ -2174,7 +2174,7 @@ }, { "cell_type": "markdown", - "id": "59e0c46d", + "id": "c6c6be65", "metadata": { "editable": true }, @@ -2188,7 +2188,7 @@ }, { "cell_type": "markdown", - "id": "ce39f8d0", + "id": "ff19b6d4", "metadata": { "editable": true }, @@ -2202,7 +2202,7 @@ }, { "cell_type": "markdown", - "id": "526f22b3", + "id": "9de58564", "metadata": { "editable": true }, @@ -2214,7 +2214,7 @@ }, { "cell_type": "markdown", - "id": "5d16d7c8", + "id": "48d6bcc3", "metadata": { "editable": true }, @@ -2226,7 +2226,7 @@ }, { "cell_type": "markdown", - "id": "11a74368", + "id": "d53afe93", "metadata": { "editable": true }, @@ -2236,7 +2236,7 @@ }, { "cell_type": "markdown", - "id": "0ca3614f", + "id": "b16af8c4", "metadata": { "editable": true }, @@ -2248,7 +2248,7 @@ }, { "cell_type": "markdown", - "id": "b98abb6c", + "id": "bd891fbd", "metadata": { "editable": true }, @@ -2258,7 +2258,7 @@ }, { "cell_type": "markdown", - "id": "813567cc", + "id": "537cffa8", "metadata": { "editable": true }, @@ -2275,7 +2275,7 @@ }, { "cell_type": "markdown", - "id": "ed905c7b", + "id": "ec709769", "metadata": { "editable": true }, @@ -2285,7 +2285,7 @@ }, { "cell_type": "markdown", - "id": "0136bdac", + "id": "c773bac2", "metadata": { "editable": true }, @@ -2297,7 +2297,7 @@ }, { "cell_type": "markdown", - "id": "d43e6609", + "id": "2f5a134d", "metadata": { "editable": true }, @@ -2307,7 +2307,7 @@ }, { "cell_type": "markdown", - "id": "15d2bb49", + "id": "eb807c3b", "metadata": { "editable": true }, @@ -2319,7 +2319,7 @@ }, { "cell_type": "markdown", - "id": "374104f4", + "id": "b445227a", "metadata": { "editable": true }, @@ -2331,7 +2331,7 @@ }, { "cell_type": "markdown", - "id": "86f4db59", + "id": "e2d19443", "metadata": { "editable": true }, @@ -2343,7 +2343,7 @@ }, { "cell_type": "markdown", - "id": "9d007f11", + "id": "83432108", "metadata": { "editable": true }, @@ -2365,7 +2365,7 @@ }, { "cell_type": "markdown", - "id": "03c93eed", + "id": "b4567b33", "metadata": { "editable": true }, @@ -2377,7 +2377,7 @@ }, { "cell_type": "markdown", - "id": "3ee37fac", + "id": "9c1ac81c", "metadata": { "editable": true }, @@ -2394,7 +2394,7 @@ }, { "cell_type": "markdown", - "id": "13290881", + "id": "d17f2511", "metadata": { "editable": true }, @@ -2406,7 +2406,7 @@ }, { "cell_type": "markdown", - "id": "3896b3e6", + "id": "df84755b", "metadata": { "editable": true }, @@ -2416,7 +2416,7 @@ }, { "cell_type": "markdown", - "id": "ca47bd66", + "id": "b06436ad", "metadata": { "editable": true }, @@ -2428,7 +2428,7 @@ }, { "cell_type": "markdown", - "id": "1513e1d0", + "id": "587b6150", "metadata": { "editable": true }, @@ -2438,7 +2438,7 @@ }, { "cell_type": "markdown", - "id": "4b9bf25a", + "id": "b76d287d", "metadata": { "editable": true }, @@ -2450,7 +2450,7 @@ }, { "cell_type": "markdown", - "id": "2eeb03c8", + "id": "23c5a773", "metadata": { "editable": true }, @@ -2460,7 +2460,7 @@ }, { "cell_type": "markdown", - "id": "da278d8e", + "id": "cbcc9f1d", "metadata": { "editable": true }, @@ -2472,7 +2472,7 @@ }, { "cell_type": "markdown", - "id": "2b341903", + "id": "5122c264", "metadata": { "editable": true }, @@ -2489,7 +2489,7 @@ }, { "cell_type": "markdown", - "id": "e66723d1", + "id": "53acab64", "metadata": { "editable": true }, @@ -2502,7 +2502,7 @@ }, { "cell_type": "markdown", - "id": "85cff01a", + "id": "da978d1f", "metadata": { "editable": true }, @@ -2514,7 +2514,7 @@ }, { "cell_type": "markdown", - "id": "c3bdf4f5", + "id": "00e0cb68", "metadata": { "editable": true }, @@ -2524,7 +2524,7 @@ }, { "cell_type": "markdown", - "id": "1306ed38", + "id": "3007cfd4", "metadata": { "editable": true }, @@ -2537,7 +2537,7 @@ }, { "cell_type": "markdown", - "id": "00474af5", + "id": "4f1319c4", "metadata": { "editable": true }, @@ -2547,7 +2547,7 @@ }, { "cell_type": "markdown", - "id": "346ae1ad", + "id": "912ad3ed", "metadata": { "editable": true }, @@ -2559,7 +2559,7 @@ }, { "cell_type": "markdown", - "id": "36f83c2a", + "id": "c8ec9dd6", "metadata": { "editable": true }, @@ -2572,7 +2572,7 @@ }, { "cell_type": "markdown", - "id": "eb246827", + "id": "b9557d10", "metadata": { "editable": true }, @@ -2585,7 +2585,7 @@ }, { "cell_type": "markdown", - "id": "d38c34b0", + "id": "218a7c1b", "metadata": { "editable": true }, @@ -2597,7 +2597,7 @@ }, { "cell_type": "markdown", - "id": "e3f2141f", + "id": "901a6e63", "metadata": { "editable": true }, @@ -2609,7 +2609,7 @@ }, { "cell_type": "markdown", - "id": "74f56599", + "id": "7fcc6d59", "metadata": { "editable": true }, @@ -2619,7 +2619,7 @@ }, { "cell_type": "markdown", - "id": "ea246d4b", + "id": "f95ec485", "metadata": { "editable": true }, @@ -2632,7 +2632,7 @@ }, { "cell_type": "markdown", - "id": "c6b1faa8", + "id": "9756e227", "metadata": { "editable": true }, @@ -2644,7 +2644,7 @@ }, { "cell_type": "markdown", - "id": "7b2fc09f", + "id": "8126451c", "metadata": { "editable": true }, @@ -2656,7 +2656,7 @@ }, { "cell_type": "markdown", - "id": "a9f2c69a", + "id": "9a842551", "metadata": { "editable": true }, @@ -2666,7 +2666,7 @@ }, { "cell_type": "markdown", - "id": "2fb35c59", + "id": "d191fdbb", "metadata": { "editable": true }, @@ -2678,7 +2678,7 @@ }, { "cell_type": "markdown", - "id": "2e7636c6", + "id": "9dbed509", "metadata": { "editable": true }, @@ -2692,7 +2692,7 @@ }, { "cell_type": "markdown", - "id": "51bd5332", + "id": "deb632d6", "metadata": { "editable": true }, @@ -2704,7 +2704,7 @@ }, { "cell_type": "markdown", - "id": "bbd07896", + "id": "b11fefee", "metadata": { "editable": true }, @@ -2714,7 +2714,7 @@ }, { "cell_type": "markdown", - "id": "39cd7db8", + "id": "dbbeb39d", "metadata": { "editable": true }, @@ -2726,7 +2726,7 @@ }, { "cell_type": "markdown", - "id": "245333af", + "id": "f58964e9", "metadata": { "editable": true }, @@ -2738,7 +2738,7 @@ }, { "cell_type": "markdown", - "id": "5ea29678", + "id": "94a3ef6c", "metadata": { "editable": true }, @@ -2750,7 +2750,7 @@ }, { "cell_type": "markdown", - "id": "ad883534", + "id": "9e079bd5", "metadata": { "editable": true }, @@ -2769,7 +2769,7 @@ }, { "cell_type": "markdown", - "id": "54e5791f", + "id": "c3acf4d0", "metadata": { "editable": true }, @@ -2781,7 +2781,7 @@ }, { "cell_type": "markdown", - "id": "c406bcb3", + "id": "9a1d8d90", "metadata": { "editable": true }, @@ -2791,7 +2791,7 @@ }, { "cell_type": "markdown", - "id": "1a6f9659", + "id": "b30e117f", "metadata": { "editable": true }, @@ -2803,7 +2803,7 @@ }, { "cell_type": "markdown", - "id": "e2edbb3a", + "id": "da4ff9a6", "metadata": { "editable": true }, @@ -2815,7 +2815,7 @@ }, { "cell_type": "markdown", - "id": "402353ad", + "id": "fa2e2c64", "metadata": { "editable": true }, @@ -2827,7 +2827,7 @@ }, { "cell_type": "markdown", - "id": "423b6396", + "id": "6d2b7360", "metadata": { "editable": true }, @@ -2845,7 +2845,7 @@ }, { "cell_type": "markdown", - "id": "f1d49878", + "id": "9615255d", "metadata": { "editable": true }, @@ -2857,7 +2857,7 @@ }, { "cell_type": "markdown", - "id": "29e021c6", + "id": "58969e66", "metadata": { "editable": true }, @@ -2867,7 +2867,7 @@ }, { "cell_type": "markdown", - "id": "7ea41670", + "id": "d82ae993", "metadata": { "editable": true }, @@ -2879,7 +2879,7 @@ }, { "cell_type": "markdown", - "id": "b5c24d1b", + "id": "727855ea", "metadata": { "editable": true }, @@ -2889,7 +2889,7 @@ }, { "cell_type": "markdown", - "id": "5cde9430", + "id": "5bc34271", "metadata": { "editable": true }, @@ -2901,7 +2901,7 @@ }, { "cell_type": "markdown", - "id": "f8725e06", + "id": "b103f555", "metadata": { "editable": true }, @@ -2917,7 +2917,7 @@ }, { "cell_type": "markdown", - "id": "77595d78", + "id": "05ecb4d2", "metadata": { "editable": true }, @@ -2929,7 +2929,7 @@ }, { "cell_type": "markdown", - "id": "30d6a0a4", + "id": "3d45b148", "metadata": { "editable": true }, @@ -2939,7 +2939,7 @@ }, { "cell_type": "markdown", - "id": "e6aaeb07", + "id": "4b3da062", "metadata": { "editable": true }, @@ -2951,7 +2951,7 @@ }, { "cell_type": "markdown", - "id": "61f8860b", + "id": "8aa21d29", "metadata": { "editable": true }, @@ -2961,7 +2961,7 @@ }, { "cell_type": "markdown", - "id": "848fab1b", + "id": "fd85a55c", "metadata": { "editable": true }, @@ -2973,7 +2973,7 @@ }, { "cell_type": "markdown", - "id": "6b3f9c65", + "id": "f8247ac9", "metadata": { "editable": true }, @@ -2983,7 +2983,7 @@ }, { "cell_type": "markdown", - "id": "a4535489", + "id": "f41b615a", "metadata": { "editable": true }, @@ -2995,7 +2995,7 @@ }, { "cell_type": "markdown", - "id": "08d1dcfc", + "id": "59931b66", "metadata": { "editable": true }, @@ -3010,7 +3010,7 @@ }, { "cell_type": "markdown", - "id": "bfad6360", + "id": "72b3ba92", "metadata": { "editable": true }, @@ -3022,7 +3022,7 @@ }, { "cell_type": "markdown", - "id": "ececd781", + "id": "c2a3e54b", "metadata": { "editable": true }, @@ -3032,7 +3032,7 @@ }, { "cell_type": "markdown", - "id": "834ae242", + "id": "6ee94335", "metadata": { "editable": true }, @@ -3044,7 +3044,7 @@ }, { "cell_type": "markdown", - "id": "ef16a3d3", + "id": "2d9fee60", "metadata": { "editable": true }, @@ -3054,7 +3054,7 @@ }, { "cell_type": "markdown", - "id": "a40a2bf7", + "id": "c7bf140a", "metadata": { "editable": true }, @@ -3066,7 +3066,7 @@ }, { "cell_type": "markdown", - "id": "6c6b14af", + "id": "45ba39c1", "metadata": { "editable": true }, @@ -3076,7 +3076,7 @@ }, { "cell_type": "markdown", - "id": "d9fb8933", + "id": "2df21138", "metadata": { "editable": true }, @@ -3088,7 +3088,7 @@ }, { "cell_type": "markdown", - "id": "272cb2f8", + "id": "8254fbf3", "metadata": { "editable": true }, @@ -3098,7 +3098,7 @@ }, { "cell_type": "markdown", - "id": "fadce691", + "id": "ed8b98e6", "metadata": { "editable": true }, @@ -3110,7 +3110,7 @@ }, { "cell_type": "markdown", - "id": "c7cd5640", + "id": "91a4cf27", "metadata": { "editable": true }, @@ -3120,7 +3120,7 @@ }, { "cell_type": "markdown", - "id": "463185a0", + "id": "d73ccdd0", "metadata": { "editable": true }, @@ -3132,7 +3132,7 @@ }, { "cell_type": "markdown", - "id": "7b2748c6", + "id": "7a5982dd", "metadata": { "editable": true }, @@ -3142,7 +3142,7 @@ }, { "cell_type": "markdown", - "id": "14027ed3", + "id": "0eb2c91e", "metadata": { "editable": true }, @@ -3156,7 +3156,7 @@ }, { "cell_type": "markdown", - "id": "6ee85f1d", + "id": "c1dca2c2", "metadata": { "editable": true }, @@ -3169,7 +3169,7 @@ }, { "cell_type": "markdown", - "id": "b5208771", + "id": "fe91c3be", "metadata": { "editable": true }, @@ -3181,7 +3181,7 @@ }, { "cell_type": "markdown", - "id": "c1b21b70", + "id": "686d633f", "metadata": { "editable": true }, @@ -3191,7 +3191,7 @@ }, { "cell_type": "markdown", - "id": "c7f60db1", + "id": "8b108b5c", "metadata": { "editable": true }, @@ -3203,7 +3203,7 @@ }, { "cell_type": "markdown", - "id": "908ab8d8", + "id": "38a0a1c5", "metadata": { "editable": true }, @@ -3215,7 +3215,7 @@ }, { "cell_type": "markdown", - "id": "aebb6349", + "id": "8abd5c85", "metadata": { "editable": true }, @@ -3227,7 +3227,7 @@ }, { "cell_type": "markdown", - "id": "c5e7c53f", + "id": "3345e143", "metadata": { "editable": true }, @@ -3237,7 +3237,7 @@ }, { "cell_type": "markdown", - "id": "2197be2d", + "id": "3187cf1e", "metadata": { "editable": true }, @@ -3249,7 +3249,7 @@ }, { "cell_type": "markdown", - "id": "3d6f2196", + "id": "3d2a9090", "metadata": { "editable": true }, @@ -3261,7 +3261,7 @@ }, { "cell_type": "markdown", - "id": "5f340903", + "id": "b75f8729", "metadata": { "editable": true }, @@ -3273,7 +3273,7 @@ }, { "cell_type": "markdown", - "id": "11b0427e", + "id": "38d98009", "metadata": { "editable": true }, @@ -3283,7 +3283,7 @@ }, { "cell_type": "markdown", - "id": "963a0089", + "id": "13cb5fc3", "metadata": { "editable": true }, @@ -3295,7 +3295,7 @@ }, { "cell_type": "markdown", - "id": "7db2daaa", + "id": "93773fea", "metadata": { "editable": true }, @@ -3310,7 +3310,7 @@ }, { "cell_type": "markdown", - "id": "688d8588", + "id": "f34d26b5", "metadata": { "editable": true }, @@ -3322,7 +3322,7 @@ }, { "cell_type": "markdown", - "id": "711738d9", + "id": "f489bb3a", "metadata": { "editable": true }, @@ -3334,7 +3334,7 @@ }, { "cell_type": "markdown", - "id": "6c949f8e", + "id": "f101dfbb", "metadata": { "editable": true }, @@ -3344,7 +3344,7 @@ }, { "cell_type": "markdown", - "id": "0bbc3b07", + "id": "1d6d9ab6", "metadata": { "editable": true }, @@ -3356,7 +3356,7 @@ }, { "cell_type": "markdown", - "id": "1cbf8a76", + "id": "1bcbe166", "metadata": { "editable": true }, @@ -3366,7 +3366,7 @@ }, { "cell_type": "markdown", - "id": "8f10e5bd", + "id": "a987944d", "metadata": { "editable": true }, @@ -3378,7 +3378,7 @@ }, { "cell_type": "markdown", - "id": "b547328c", + "id": "8306031d", "metadata": { "editable": true }, @@ -3388,7 +3388,7 @@ }, { "cell_type": "markdown", - "id": "707c1a57", + "id": "dd98cec2", "metadata": { "editable": true }, @@ -3400,7 +3400,7 @@ }, { "cell_type": "markdown", - "id": "b90e6997", + "id": "c1e9a309", "metadata": { "editable": true }, @@ -3413,7 +3413,7 @@ }, { "cell_type": "markdown", - "id": "e4f6ca20", + "id": "505903b0", "metadata": { "editable": true }, @@ -3425,7 +3425,7 @@ }, { "cell_type": "markdown", - "id": "b3d7018c", + "id": "e779c9ea", "metadata": { "editable": true }, @@ -3437,7 +3437,7 @@ }, { "cell_type": "markdown", - "id": "9e6f1823", + "id": "39d385a9", "metadata": { "editable": true }, @@ -3447,7 +3447,7 @@ }, { "cell_type": "markdown", - "id": "ea3b2bf0", + "id": "e8cd530b", "metadata": { "editable": true }, @@ -3459,7 +3459,7 @@ }, { "cell_type": "markdown", - "id": "484b5cd4", + "id": "ead68a11", "metadata": { "editable": true }, @@ -3478,7 +3478,7 @@ }, { "cell_type": "markdown", - "id": "4861f625", + "id": "b0ab96bc", "metadata": { "editable": true }, @@ -3490,7 +3490,7 @@ }, { "cell_type": "markdown", - "id": "9928eadb", + "id": "46003ad2", "metadata": { "editable": true }, @@ -3500,7 +3500,7 @@ }, { "cell_type": "markdown", - "id": "c94a1223", + "id": "99fa4026", "metadata": { "editable": true }, @@ -3512,7 +3512,7 @@ }, { "cell_type": "markdown", - "id": "9bcaff12", + "id": "2bd2c1e6", "metadata": { "editable": true }, @@ -3522,7 +3522,7 @@ }, { "cell_type": "markdown", - "id": "1b7020d6", + "id": "db555f2e", "metadata": { "editable": true }, @@ -3534,7 +3534,7 @@ }, { "cell_type": "markdown", - "id": "51fce0e9", + "id": "ac172cde", "metadata": { "editable": true }, @@ -3544,7 +3544,7 @@ }, { "cell_type": "markdown", - "id": "c1fe81b2", + "id": "990497d7", "metadata": { "editable": true }, @@ -3556,7 +3556,7 @@ }, { "cell_type": "markdown", - "id": "414a2e5b", + "id": "3991a007", "metadata": { "editable": true }, @@ -3572,7 +3572,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "57451fca", + "id": "38060912", "metadata": { "collapsed": false, "editable": true @@ -3659,7 +3659,7 @@ }, { "cell_type": "markdown", - "id": "6d10b060", + "id": "2e7dc8bb", "metadata": { "editable": true }, @@ -3676,7 +3676,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "100f7dbb", + "id": "23ed1fbc", "metadata": { "collapsed": false, "editable": true @@ -3968,7 +3968,7 @@ }, { "cell_type": "markdown", - "id": "3d50bfd5", + "id": "924e8e81", "metadata": { "editable": true }, @@ -3987,7 +3987,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "409f405d", + "id": "0abdae31", "metadata": { "collapsed": false, "editable": true @@ -4103,7 +4103,7 @@ }, { "cell_type": "markdown", - "id": "50e9be28", + "id": "fba395ed", "metadata": { "editable": true }, @@ -4118,7 +4118,7 @@ }, { "cell_type": "markdown", - "id": "4c5c2565", + "id": "fcb0e136", "metadata": { "editable": true }, @@ -4147,7 +4147,7 @@ }, { "cell_type": "markdown", - "id": "f264b531", + "id": "405523ba", "metadata": { "editable": true }, @@ -4163,7 +4163,7 @@ }, { "cell_type": "markdown", - "id": "800b179f", + "id": "007393d7", "metadata": { "editable": true }, @@ -4186,7 +4186,7 @@ }, { "cell_type": "markdown", - "id": "b4815186", + "id": "d0c77724", "metadata": { "editable": true }, @@ -4198,7 +4198,7 @@ }, { "cell_type": "markdown", - "id": "2a343970", + "id": "bc0be2c7", "metadata": { "editable": true }, @@ -4209,7 +4209,7 @@ }, { "cell_type": "markdown", - "id": "358077b0", + "id": "b0520d5f", "metadata": { "editable": true }, @@ -4221,7 +4221,7 @@ }, { "cell_type": "markdown", - "id": "73f23e81", + "id": "9697d980", "metadata": { "editable": true }, @@ -4231,7 +4231,7 @@ }, { "cell_type": "markdown", - "id": "bebdffa9", + "id": "7ac89ed1", "metadata": { "editable": true }, @@ -4247,7 +4247,7 @@ }, { "cell_type": "markdown", - "id": "8c38cb47", + "id": "893b3845", "metadata": { "editable": true }, @@ -4258,7 +4258,7 @@ }, { "cell_type": "markdown", - "id": "193c47ee", + "id": "9bf528ea", "metadata": { "editable": true }, @@ -4281,7 +4281,7 @@ }, { "cell_type": "markdown", - "id": "92832b0a", + "id": "ec1d299e", "metadata": { "editable": true }, @@ -4294,7 +4294,7 @@ }, { "cell_type": "markdown", - "id": "5f517886", + "id": "6f530077", "metadata": { "editable": true }, @@ -4306,7 +4306,7 @@ }, { "cell_type": "markdown", - "id": "f9dea445", + "id": "d59b6d73", "metadata": { "editable": true }, @@ -4320,7 +4320,7 @@ }, { "cell_type": "markdown", - "id": "3aececb1", + "id": "f002ceed", "metadata": { "editable": true }, @@ -4351,7 +4351,7 @@ }, { "cell_type": "markdown", - "id": "f38f2849", + "id": "af17a800", "metadata": { "editable": true }, @@ -4373,7 +4373,7 @@ }, { "cell_type": "markdown", - "id": "47dbc181", + "id": "4ea124bc", "metadata": { "editable": true }, @@ -4385,7 +4385,7 @@ }, { "cell_type": "markdown", - "id": "a409614d", + "id": "e52365d1", "metadata": { "editable": true }, @@ -4398,7 +4398,7 @@ }, { "cell_type": "markdown", - "id": "32e59beb", + "id": "4a4304e3", "metadata": { "editable": true }, @@ -4410,7 +4410,7 @@ }, { "cell_type": "markdown", - "id": "e5d38011", + "id": "60ee36ba", "metadata": { "editable": true }, @@ -4422,7 +4422,7 @@ }, { "cell_type": "markdown", - "id": "999a6bc6", + "id": "6d45eb3d", "metadata": { "editable": true }, @@ -4434,7 +4434,7 @@ }, { "cell_type": "markdown", - "id": "888f1db7", + "id": "9699a1b3", "metadata": { "editable": true }, @@ -4446,7 +4446,7 @@ }, { "cell_type": "markdown", - "id": "76360bbe", + "id": "3da5b6e5", "metadata": { "editable": true }, @@ -4469,7 +4469,7 @@ }, { "cell_type": "markdown", - "id": "6b1976cd", + "id": "16978065", "metadata": { "editable": true }, @@ -4481,7 +4481,7 @@ }, { "cell_type": "markdown", - "id": "5ff419a1", + "id": "b9344e4c", "metadata": { "editable": true }, @@ -4492,7 +4492,7 @@ }, { "cell_type": "markdown", - "id": "82730c14", + "id": "a75674b4", "metadata": { "editable": true }, @@ -4504,7 +4504,7 @@ }, { "cell_type": "markdown", - "id": "4982965d", + "id": "f2fc7e17", "metadata": { "editable": true }, @@ -4516,7 +4516,7 @@ }, { "cell_type": "markdown", - "id": "ab4c31a7", + "id": "082c96dc", "metadata": { "editable": true }, @@ -4528,7 +4528,7 @@ }, { "cell_type": "markdown", - "id": "768cb1fc", + "id": "8454e9a8", "metadata": { "editable": true }, @@ -4539,7 +4539,7 @@ }, { "cell_type": "markdown", - "id": "f9f0c7f3", + "id": "672c4793", "metadata": { "editable": true }, @@ -4551,7 +4551,7 @@ }, { "cell_type": "markdown", - "id": "c617cdd7", + "id": "6f91625b", "metadata": { "editable": true }, @@ -4562,7 +4562,7 @@ }, { "cell_type": "markdown", - "id": "760dd73f", + "id": "0fb07f7b", "metadata": { "editable": true }, @@ -4574,7 +4574,7 @@ }, { "cell_type": "markdown", - "id": "0fd8cbb0", + "id": "670ac661", "metadata": { "editable": true }, @@ -4609,7 +4609,7 @@ }, { "cell_type": "markdown", - "id": "bbfab5d3", + "id": "3ee59148", "metadata": { "editable": true }, @@ -4621,7 +4621,7 @@ }, { "cell_type": "markdown", - "id": "f4ee97d7", + "id": "d677bb4b", "metadata": { "editable": true }, @@ -4631,7 +4631,7 @@ }, { "cell_type": "markdown", - "id": "1e74d52d", + "id": "6c5f83e5", "metadata": { "editable": true }, @@ -4643,7 +4643,7 @@ }, { "cell_type": "markdown", - "id": "b983cb4c", + "id": "cffe270c", "metadata": { "editable": true }, @@ -4653,7 +4653,7 @@ }, { "cell_type": "markdown", - "id": "c90a8ed0", + "id": "dbfc8d33", "metadata": { "editable": true }, @@ -4665,7 +4665,7 @@ }, { "cell_type": "markdown", - "id": "f38fcc19", + "id": "4cccd33d", "metadata": { "editable": true }, @@ -4675,7 +4675,7 @@ }, { "cell_type": "markdown", - "id": "348010f6", + "id": "f0c6c8da", "metadata": { "editable": true }, @@ -4687,7 +4687,7 @@ }, { "cell_type": "markdown", - "id": "cd33a62d", + "id": "ca3e371e", "metadata": { "editable": true }, @@ -4707,7 +4707,7 @@ }, { "cell_type": "markdown", - "id": "2bb675c1", + "id": "3696b23c", "metadata": { "editable": true }, @@ -4719,7 +4719,7 @@ }, { "cell_type": "markdown", - "id": "d1ff7ab5", + "id": "b395ecc7", "metadata": { "editable": true }, @@ -4729,7 +4729,7 @@ }, { "cell_type": "markdown", - "id": "80d51bf1", + "id": "e18367e7", "metadata": { "editable": true }, @@ -4741,7 +4741,7 @@ }, { "cell_type": "markdown", - "id": "3eb856c7", + "id": "c72b9de9", "metadata": { "editable": true }, @@ -4755,7 +4755,7 @@ }, { "cell_type": "markdown", - "id": "84c98a40", + "id": "bd9a0af8", "metadata": { "editable": true }, @@ -4767,7 +4767,7 @@ }, { "cell_type": "markdown", - "id": "094f6489", + "id": "15b07238", "metadata": { "editable": true }, @@ -4777,7 +4777,7 @@ }, { "cell_type": "markdown", - "id": "40b87dab", + "id": "ad5ff28d", "metadata": { "editable": true }, @@ -4789,7 +4789,7 @@ }, { "cell_type": "markdown", - "id": "02ee6009", + "id": "faead94c", "metadata": { "editable": true }, @@ -4799,7 +4799,7 @@ }, { "cell_type": "markdown", - "id": "c9b83f7e", + "id": "d7611ab2", "metadata": { "editable": true }, @@ -4811,7 +4811,7 @@ }, { "cell_type": "markdown", - "id": "28693db1", + "id": "d769b2ab", "metadata": { "editable": true }, @@ -4821,7 +4821,7 @@ }, { "cell_type": "markdown", - "id": "cd0819c2", + "id": "c23dd9bc", "metadata": { "editable": true }, @@ -4833,7 +4833,7 @@ }, { "cell_type": "markdown", - "id": "c73d36a3", + "id": "ca52774f", "metadata": { "editable": true }, @@ -4869,7 +4869,7 @@ }, { "cell_type": "markdown", - "id": "779d9389", + "id": "b8518297", "metadata": { "editable": true }, @@ -4881,7 +4881,7 @@ }, { "cell_type": "markdown", - "id": "63db00a0", + "id": "88c98eb4", "metadata": { "editable": true }, @@ -4894,7 +4894,7 @@ }, { "cell_type": "markdown", - "id": "ab01099c", + "id": "e2334bed", "metadata": { "editable": true }, @@ -4906,7 +4906,7 @@ }, { "cell_type": "markdown", - "id": "ec0ebb28", + "id": "f4aef077", "metadata": { "editable": true }, @@ -4920,7 +4920,7 @@ }, { "cell_type": "markdown", - "id": "4c432161", + "id": "3090686c", "metadata": { "editable": true }, @@ -4932,7 +4932,7 @@ }, { "cell_type": "markdown", - "id": "03d0cdb8", + "id": "624a5816", "metadata": { "editable": true }, @@ -4943,7 +4943,7 @@ }, { "cell_type": "markdown", - "id": "8d7a0ad2", + "id": "2d4d1d7a", "metadata": { "editable": true }, @@ -4955,7 +4955,7 @@ }, { "cell_type": "markdown", - "id": "fcdc27a1", + "id": "fcbd4971", "metadata": { "editable": true }, @@ -4967,7 +4967,7 @@ }, { "cell_type": "markdown", - "id": "e773eb9e", + "id": "5e432bdf", "metadata": { "editable": true }, @@ -4985,7 +4985,7 @@ }, { "cell_type": "markdown", - "id": "3892720e", + "id": "82b481e6", "metadata": { "editable": true }, @@ -5003,7 +5003,7 @@ }, { "cell_type": "markdown", - "id": "c68513be", + "id": "2dc44209", "metadata": { "editable": true }, @@ -5013,7 +5013,7 @@ }, { "cell_type": "markdown", - "id": "db1bcf38", + "id": "b87f7b48", "metadata": { "editable": true }, @@ -5042,7 +5042,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "aa27ede9", + "id": "f0857c9a", "metadata": { "collapsed": false, "editable": true @@ -5141,7 +5141,7 @@ }, { "cell_type": "markdown", - "id": "66975598", + "id": "d26c117a", "metadata": { "editable": true }, @@ -5171,7 +5171,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "f90a238f", + "id": "612caaa8", "metadata": { "collapsed": false, "editable": true @@ -5526,7 +5526,7 @@ }, { "cell_type": "markdown", - "id": "d32f4700", + "id": "11b2f0cf", "metadata": { "editable": true }, @@ -5542,7 +5542,7 @@ }, { "cell_type": "markdown", - "id": "5292b482", + "id": "73e296f1", "metadata": { "editable": true }, @@ -5560,7 +5560,7 @@ }, { "cell_type": "markdown", - "id": "6b827637", + "id": "b3da0a8c", "metadata": { "editable": true }, @@ -5572,7 +5572,7 @@ }, { "cell_type": "markdown", - "id": "6e73b7d4", + "id": "aae3f8ca", "metadata": { "editable": true }, @@ -5582,7 +5582,7 @@ }, { "cell_type": "markdown", - "id": "ead2878e", + "id": "d2b6b2a4", "metadata": { "editable": true }, @@ -5594,7 +5594,7 @@ }, { "cell_type": "markdown", - "id": "1302f31e", + "id": "beb2f725", "metadata": { "editable": true }, @@ -5604,7 +5604,7 @@ }, { "cell_type": "markdown", - "id": "dd411d77", + "id": "21d0b357", "metadata": { "editable": true }, @@ -5616,7 +5616,7 @@ }, { "cell_type": "markdown", - "id": "01dcd800", + "id": "599e0431", "metadata": { "editable": true }, @@ -5626,7 +5626,7 @@ }, { "cell_type": "markdown", - "id": "0a3fa1e5", + "id": "4ccbc8fe", "metadata": { "editable": true }, @@ -5638,7 +5638,7 @@ }, { "cell_type": "markdown", - "id": "e5ce5ac4", + "id": "1ba0163a", "metadata": { "editable": true }, @@ -5656,7 +5656,7 @@ }, { "cell_type": "markdown", - "id": "9221bb65", + "id": "ee506bef", "metadata": { "editable": true }, @@ -5668,7 +5668,7 @@ }, { "cell_type": "markdown", - "id": "0e7f22c4", + "id": "1763b92d", "metadata": { "editable": true }, @@ -5678,7 +5678,7 @@ }, { "cell_type": "markdown", - "id": "3565934d", + "id": "ab778325", "metadata": { "editable": true }, @@ -5690,7 +5690,7 @@ }, { "cell_type": "markdown", - "id": "5c4b9c3a", + "id": "97ccc31d", "metadata": { "editable": true }, @@ -5703,7 +5703,7 @@ }, { "cell_type": "markdown", - "id": "f91f265b", + "id": "1e2a47c9", "metadata": { "editable": true }, @@ -5715,7 +5715,7 @@ }, { "cell_type": "markdown", - "id": "a0427716", + "id": "57de9aac", "metadata": { "editable": true }, @@ -5725,7 +5725,7 @@ }, { "cell_type": "markdown", - "id": "117eb03b", + "id": "e6de5d0d", "metadata": { "editable": true }, @@ -5737,7 +5737,7 @@ }, { "cell_type": "markdown", - "id": "9015a44a", + "id": "43d04ae5", "metadata": { "editable": true }, @@ -5749,7 +5749,7 @@ }, { "cell_type": "markdown", - "id": "a184ac5a", + "id": "181af975", "metadata": { "editable": true }, @@ -5761,7 +5761,7 @@ }, { "cell_type": "markdown", - "id": "ae799fbe", + "id": "e181c4e4", "metadata": { "editable": true }, @@ -5771,7 +5771,7 @@ }, { "cell_type": "markdown", - "id": "055d1b54", + "id": "4c8e7729", "metadata": { "editable": true }, @@ -5783,7 +5783,7 @@ }, { "cell_type": "markdown", - "id": "104615f6", + "id": "3412c1e0", "metadata": { "editable": true }, @@ -5795,7 +5795,7 @@ }, { "cell_type": "markdown", - "id": "8d868c3b", + "id": "84009c6f", "metadata": { "editable": true }, @@ -5807,7 +5807,7 @@ }, { "cell_type": "markdown", - "id": "c88440ff", + "id": "77b554c8", "metadata": { "editable": true }, @@ -5817,7 +5817,7 @@ }, { "cell_type": "markdown", - "id": "07c1232a", + "id": "3ac87d91", "metadata": { "editable": true }, @@ -5829,7 +5829,7 @@ }, { "cell_type": "markdown", - "id": "8416dffb", + "id": "fbcf5797", "metadata": { "editable": true }, @@ -5842,7 +5842,7 @@ "$2\\tau^2=1/\\lambda$ while for the Gaussian distribution it is\n", "$\\sigma^2=1/(2\\lambda)$. Thus, increasing the variance means\n", "decreasing $\\lambda$ and shrinking the variance means increasing\n", - "$\\lamdbda$. When we increase $\\lambda$, this corresponds to shrinking the role of less important features (small singular values)." + "$\\lambda$. When we increase $\\lambda$, this corresponds to shrinking the role of less important features (small singular values)." ] } ], diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter2.py b/doc/LectureNotes/_build/jupyter_execute/chapter2.py index 1bfb3775a..56bd11b77 100644 --- a/doc/LectureNotes/_build/jupyter_execute/chapter2.py +++ b/doc/LectureNotes/_build/jupyter_execute/chapter2.py @@ -2274,4 +2274,4 @@ for i in range(nlambdas): # $2\tau^2=1/\lambda$ while for the Gaussian distribution it is # $\sigma^2=1/(2\lambda)$. Thus, increasing the variance means # decreasing $\lambda$ and shrinking the variance means increasing -# $\lamdbda$. When we increase $\lambda$, this corresponds to shrinking the role of less important features (small singular values). +# $\lambda$. When we increase $\lambda$, this corresponds to shrinking the role of less important features (small singular values). diff --git a/doc/LectureNotes/chapter2.ipynb b/doc/LectureNotes/chapter2.ipynb index 8bb203708..7cc1486c7 100644 --- a/doc/LectureNotes/chapter2.ipynb +++ b/doc/LectureNotes/chapter2.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7146aabe", + "id": "6b7fdf6d", "metadata": { "editable": true }, @@ -13,7 +13,7 @@ }, { "cell_type": "markdown", - "id": "383d5dba", + "id": "0be3ba69", "metadata": { "editable": true }, @@ -23,7 +23,7 @@ }, { "cell_type": "markdown", - "id": "08812109", + "id": "5b4952ed", "metadata": { "editable": true }, @@ -37,7 +37,7 @@ }, { "cell_type": "markdown", - "id": "04ce00fc", + "id": "b46233dd", "metadata": { "editable": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "markdown", - "id": "88d4cd43", + "id": "c6461a0d", "metadata": { "editable": true }, @@ -61,7 +61,7 @@ }, { "cell_type": "markdown", - "id": "b95f6106", + "id": "cb4847ae", "metadata": { "editable": true }, @@ -73,7 +73,7 @@ }, { "cell_type": "markdown", - "id": "2ee3b8e9", + "id": "3338817a", "metadata": { "editable": true }, @@ -83,7 +83,7 @@ }, { "cell_type": "markdown", - "id": "72f7dde8", + "id": "12abd7f2", "metadata": { "editable": true }, @@ -95,7 +95,7 @@ }, { "cell_type": "markdown", - "id": "4b092bc7", + "id": "90919dcb", "metadata": { "editable": true }, @@ -105,7 +105,7 @@ }, { "cell_type": "markdown", - "id": "44b3e758", + "id": "f48032f6", "metadata": { "editable": true }, @@ -117,7 +117,7 @@ }, { "cell_type": "markdown", - "id": "6cec4c92", + "id": "31aefaa4", "metadata": { "editable": true }, @@ -130,7 +130,7 @@ }, { "cell_type": "markdown", - "id": "ef64424c", + "id": "59e89e94", "metadata": { "editable": true }, @@ -142,7 +142,7 @@ }, { "cell_type": "markdown", - "id": "cad57da0", + "id": "945df507", "metadata": { "editable": true }, @@ -154,7 +154,7 @@ }, { "cell_type": "markdown", - "id": "94355d54", + "id": "d4716482", "metadata": { "editable": true }, @@ -166,7 +166,7 @@ }, { "cell_type": "markdown", - "id": "4c1ccdf5", + "id": "c8bbcd98", "metadata": { "editable": true }, @@ -176,7 +176,7 @@ }, { "cell_type": "markdown", - "id": "0d943ee1", + "id": "735f814f", "metadata": { "editable": true }, @@ -188,7 +188,7 @@ }, { "cell_type": "markdown", - "id": "3f951392", + "id": "e78b59e8", "metadata": { "editable": true }, @@ -198,7 +198,7 @@ }, { "cell_type": "markdown", - "id": "ce1a6d6f", + "id": "86bf6da6", "metadata": { "editable": true }, @@ -210,7 +210,7 @@ }, { "cell_type": "markdown", - "id": "2861bd8e", + "id": "6fd1c3f5", "metadata": { "editable": true }, @@ -220,7 +220,7 @@ }, { "cell_type": "markdown", - "id": "1dfaffdb", + "id": "4bf1507d", "metadata": { "editable": true }, @@ -267,7 +267,7 @@ }, { "cell_type": "markdown", - "id": "3e091b51", + "id": "501c8396", "metadata": { "editable": true }, @@ -290,7 +290,7 @@ }, { "cell_type": "markdown", - "id": "2fcbdb36", + "id": "91dd90a2", "metadata": { "editable": true }, @@ -307,7 +307,7 @@ }, { "cell_type": "markdown", - "id": "1f35594a", + "id": "b99d5a03", "metadata": { "editable": true }, @@ -326,7 +326,7 @@ }, { "cell_type": "markdown", - "id": "093183cd", + "id": "51044621", "metadata": { "editable": true }, @@ -339,7 +339,7 @@ }, { "cell_type": "markdown", - "id": "7a22cf10", + "id": "95f7b573", "metadata": { "editable": true }, @@ -357,7 +357,7 @@ }, { "cell_type": "markdown", - "id": "a66feb94", + "id": "219e2898", "metadata": { "editable": true }, @@ -373,7 +373,7 @@ }, { "cell_type": "markdown", - "id": "b5b5978a", + "id": "2d4aa6ba", "metadata": { "editable": true }, @@ -385,7 +385,7 @@ }, { "cell_type": "markdown", - "id": "bed64679", + "id": "28d3e4cf", "metadata": { "editable": true }, @@ -395,7 +395,7 @@ }, { "cell_type": "markdown", - "id": "860c9b6d", + "id": "0554fe7a", "metadata": { "editable": true }, @@ -410,7 +410,7 @@ }, { "cell_type": "markdown", - "id": "724355a3", + "id": "2320c7d9", "metadata": { "editable": true }, @@ -422,7 +422,7 @@ }, { "cell_type": "markdown", - "id": "80fea225", + "id": "c8765862", "metadata": { "editable": true }, @@ -432,7 +432,7 @@ }, { "cell_type": "markdown", - "id": "4a7bc845", + "id": "b87159ae", "metadata": { "editable": true }, @@ -444,7 +444,7 @@ }, { "cell_type": "markdown", - "id": "789f1977", + "id": "86f7abed", "metadata": { "editable": true }, @@ -454,7 +454,7 @@ }, { "cell_type": "markdown", - "id": "56e422f4", + "id": "12e3fd4d", "metadata": { "editable": true }, @@ -466,7 +466,7 @@ }, { "cell_type": "markdown", - "id": "f015c981", + "id": "ac83315a", "metadata": { "editable": true }, @@ -478,7 +478,7 @@ }, { "cell_type": "markdown", - "id": "dfd219d0", + "id": "ef951bdc", "metadata": { "editable": true }, @@ -493,7 +493,7 @@ }, { "cell_type": "markdown", - "id": "9992b4d2", + "id": "33e36557", "metadata": { "editable": true }, @@ -514,7 +514,7 @@ }, { "cell_type": "markdown", - "id": "e41ce3a1", + "id": "93aa4bb0", "metadata": { "editable": true }, @@ -526,7 +526,7 @@ }, { "cell_type": "markdown", - "id": "916148d2", + "id": "ceb9f136", "metadata": { "editable": true }, @@ -536,7 +536,7 @@ }, { "cell_type": "markdown", - "id": "8488b628", + "id": "30a1026a", "metadata": { "editable": true }, @@ -548,7 +548,7 @@ }, { "cell_type": "markdown", - "id": "eb7bb105", + "id": "9ae7aeab", "metadata": { "editable": true }, @@ -594,7 +594,7 @@ }, { "cell_type": "markdown", - "id": "86e39aa0", + "id": "94db25b9", "metadata": { "editable": true }, @@ -605,7 +605,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "9c3ae0cf", + "id": "87ac9b01", "metadata": { "collapsed": false, "editable": true @@ -645,7 +645,7 @@ }, { "cell_type": "markdown", - "id": "b5e02d16", + "id": "8117b776", "metadata": { "editable": true }, @@ -675,7 +675,7 @@ }, { "cell_type": "markdown", - "id": "ceac1ca3", + "id": "2ef4aaab", "metadata": { "editable": true }, @@ -689,7 +689,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "15a9c8e8", + "id": "a018928e", "metadata": { "collapsed": false, "editable": true @@ -701,7 +701,7 @@ }, { "cell_type": "markdown", - "id": "4a6e5469", + "id": "47cd2e4c", "metadata": { "editable": true }, @@ -712,7 +712,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "ef3b6935", + "id": "7b40d638", "metadata": { "collapsed": false, "editable": true @@ -752,7 +752,7 @@ }, { "cell_type": "markdown", - "id": "155ca008", + "id": "c283ae13", "metadata": { "editable": true }, @@ -770,7 +770,7 @@ }, { "cell_type": "markdown", - "id": "da493b94", + "id": "35241f9f", "metadata": { "editable": true }, @@ -782,7 +782,7 @@ }, { "cell_type": "markdown", - "id": "8bf214ea", + "id": "257eef0d", "metadata": { "editable": true }, @@ -793,7 +793,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "e437b5d9", + "id": "6dae6c7e", "metadata": { "collapsed": false, "editable": true @@ -827,7 +827,7 @@ }, { "cell_type": "markdown", - "id": "e711d30f", + "id": "1da1d892", "metadata": { "editable": true }, @@ -837,7 +837,7 @@ }, { "cell_type": "markdown", - "id": "a0ba9d2f", + "id": "ceb7ac2c", "metadata": { "editable": true }, @@ -851,7 +851,7 @@ }, { "cell_type": "markdown", - "id": "90951d11", + "id": "701a00a7", "metadata": { "editable": true }, @@ -870,7 +870,7 @@ }, { "cell_type": "markdown", - "id": "91ff188a", + "id": "8ec95fe7", "metadata": { "editable": true }, @@ -880,7 +880,7 @@ }, { "cell_type": "markdown", - "id": "61b2e6d7", + "id": "83b99027", "metadata": { "editable": true }, @@ -892,7 +892,7 @@ }, { "cell_type": "markdown", - "id": "3a5bf286", + "id": "300cdce4", "metadata": { "editable": true }, @@ -906,7 +906,7 @@ }, { "cell_type": "markdown", - "id": "1bd0e480", + "id": "06bfab96", "metadata": { "editable": true }, @@ -918,7 +918,7 @@ }, { "cell_type": "markdown", - "id": "6133bbea", + "id": "2f0d5916", "metadata": { "editable": true }, @@ -930,7 +930,7 @@ }, { "cell_type": "markdown", - "id": "c2f4ec9c", + "id": "2c9a8672", "metadata": { "editable": true }, @@ -947,7 +947,7 @@ }, { "cell_type": "markdown", - "id": "d8e91a1a", + "id": "59186cbf", "metadata": { "editable": true }, @@ -957,7 +957,7 @@ }, { "cell_type": "markdown", - "id": "66510064", + "id": "951f3cd8", "metadata": { "editable": true }, @@ -973,7 +973,7 @@ }, { "cell_type": "markdown", - "id": "0de239cf", + "id": "97c64de3", "metadata": { "editable": true }, @@ -983,7 +983,7 @@ }, { "cell_type": "markdown", - "id": "ae4894a1", + "id": "2170c34a", "metadata": { "editable": true }, @@ -999,7 +999,7 @@ }, { "cell_type": "markdown", - "id": "928421c0", + "id": "a44372b6", "metadata": { "editable": true }, @@ -1009,7 +1009,7 @@ }, { "cell_type": "markdown", - "id": "f707ba94", + "id": "883877e7", "metadata": { "editable": true }, @@ -1025,7 +1025,7 @@ }, { "cell_type": "markdown", - "id": "c2169a96", + "id": "e5cc7b55", "metadata": { "editable": true }, @@ -1035,7 +1035,7 @@ }, { "cell_type": "markdown", - "id": "0fd7213a", + "id": "54676c2e", "metadata": { "editable": true }, @@ -1052,7 +1052,7 @@ }, { "cell_type": "markdown", - "id": "014bf918", + "id": "d49c8d31", "metadata": { "editable": true }, @@ -1066,7 +1066,7 @@ }, { "cell_type": "markdown", - "id": "5b371d72", + "id": "8f11e839", "metadata": { "editable": true }, @@ -1078,7 +1078,7 @@ }, { "cell_type": "markdown", - "id": "5fdd06fb", + "id": "d1252285", "metadata": { "editable": true }, @@ -1088,7 +1088,7 @@ }, { "cell_type": "markdown", - "id": "416109ee", + "id": "9bdb3623", "metadata": { "editable": true }, @@ -1100,7 +1100,7 @@ }, { "cell_type": "markdown", - "id": "38a7766d", + "id": "c507b7b9", "metadata": { "editable": true }, @@ -1112,7 +1112,7 @@ }, { "cell_type": "markdown", - "id": "18839f7b", + "id": "62ca7ec3", "metadata": { "editable": true }, @@ -1124,7 +1124,7 @@ }, { "cell_type": "markdown", - "id": "b743da67", + "id": "fce27dd6", "metadata": { "editable": true }, @@ -1134,7 +1134,7 @@ }, { "cell_type": "markdown", - "id": "b91982c5", + "id": "dd54f5e1", "metadata": { "editable": true }, @@ -1146,7 +1146,7 @@ }, { "cell_type": "markdown", - "id": "310034bb", + "id": "af9ca16d", "metadata": { "editable": true }, @@ -1156,7 +1156,7 @@ }, { "cell_type": "markdown", - "id": "efadf88e", + "id": "8a3efbe2", "metadata": { "editable": true }, @@ -1168,7 +1168,7 @@ }, { "cell_type": "markdown", - "id": "293eece5", + "id": "da1b0f7a", "metadata": { "editable": true }, @@ -1178,7 +1178,7 @@ }, { "cell_type": "markdown", - "id": "66ead26c", + "id": "ffa9eacb", "metadata": { "editable": true }, @@ -1190,7 +1190,7 @@ }, { "cell_type": "markdown", - "id": "67b71310", + "id": "f2ca14c9", "metadata": { "editable": true }, @@ -1202,7 +1202,7 @@ }, { "cell_type": "markdown", - "id": "fa804884", + "id": "5012ca70", "metadata": { "editable": true }, @@ -1214,7 +1214,7 @@ }, { "cell_type": "markdown", - "id": "ac661f44", + "id": "496c0b8e", "metadata": { "editable": true }, @@ -1226,7 +1226,7 @@ }, { "cell_type": "markdown", - "id": "1d195b3c", + "id": "7ff42835", "metadata": { "editable": true }, @@ -1236,7 +1236,7 @@ }, { "cell_type": "markdown", - "id": "38865678", + "id": "8d1bbdbd", "metadata": { "editable": true }, @@ -1248,7 +1248,7 @@ }, { "cell_type": "markdown", - "id": "07a7126d", + "id": "40188d47", "metadata": { "editable": true }, @@ -1259,7 +1259,7 @@ }, { "cell_type": "markdown", - "id": "1375bb2d", + "id": "5e56c0d6", "metadata": { "editable": true }, @@ -1271,7 +1271,7 @@ }, { "cell_type": "markdown", - "id": "6b32590d", + "id": "4844b966", "metadata": { "editable": true }, @@ -1281,7 +1281,7 @@ }, { "cell_type": "markdown", - "id": "0bfefb07", + "id": "0be0baee", "metadata": { "editable": true }, @@ -1293,7 +1293,7 @@ }, { "cell_type": "markdown", - "id": "c9a62b75", + "id": "a7ecfbab", "metadata": { "editable": true }, @@ -1303,7 +1303,7 @@ }, { "cell_type": "markdown", - "id": "c591bfc0", + "id": "a2f7319b", "metadata": { "editable": true }, @@ -1315,7 +1315,7 @@ }, { "cell_type": "markdown", - "id": "d7fa31d3", + "id": "f99b3e74", "metadata": { "editable": true }, @@ -1326,7 +1326,7 @@ }, { "cell_type": "markdown", - "id": "d132cee3", + "id": "7c380068", "metadata": { "editable": true }, @@ -1338,7 +1338,7 @@ }, { "cell_type": "markdown", - "id": "7aa7f89c", + "id": "ef11d6bd", "metadata": { "editable": true }, @@ -1356,7 +1356,7 @@ }, { "cell_type": "markdown", - "id": "8e546bb5", + "id": "96ead7be", "metadata": { "editable": true }, @@ -1372,7 +1372,7 @@ }, { "cell_type": "markdown", - "id": "96d8b53c", + "id": "3db4d405", "metadata": { "editable": true }, @@ -1384,7 +1384,7 @@ }, { "cell_type": "markdown", - "id": "c7e05a9b", + "id": "c04a4bba", "metadata": { "editable": true }, @@ -1396,7 +1396,7 @@ }, { "cell_type": "markdown", - "id": "55fd14e4", + "id": "914c7435", "metadata": { "editable": true }, @@ -1408,7 +1408,7 @@ }, { "cell_type": "markdown", - "id": "09320523", + "id": "32e60caa", "metadata": { "editable": true }, @@ -1427,7 +1427,7 @@ }, { "cell_type": "markdown", - "id": "23b5cf2d", + "id": "eb3fa57a", "metadata": { "editable": true }, @@ -1441,7 +1441,7 @@ }, { "cell_type": "markdown", - "id": "136c43bc", + "id": "0bfaa260", "metadata": { "editable": true }, @@ -1451,7 +1451,7 @@ }, { "cell_type": "markdown", - "id": "b52fc8e3", + "id": "615b7985", "metadata": { "editable": true }, @@ -1463,7 +1463,7 @@ }, { "cell_type": "markdown", - "id": "fe153c88", + "id": "263abdfd", "metadata": { "editable": true }, @@ -1473,7 +1473,7 @@ }, { "cell_type": "markdown", - "id": "ea57dd81", + "id": "17e3aa1b", "metadata": { "editable": true }, @@ -1485,7 +1485,7 @@ }, { "cell_type": "markdown", - "id": "f8154bc8", + "id": "f32e5f0c", "metadata": { "editable": true }, @@ -1495,7 +1495,7 @@ }, { "cell_type": "markdown", - "id": "081adf91", + "id": "93e581f5", "metadata": { "editable": true }, @@ -1509,7 +1509,7 @@ }, { "cell_type": "markdown", - "id": "d61424f0", + "id": "7c1e2e6d", "metadata": { "editable": true }, @@ -1532,7 +1532,7 @@ }, { "cell_type": "markdown", - "id": "1f517794", + "id": "ffe5d318", "metadata": { "editable": true }, @@ -1544,7 +1544,7 @@ }, { "cell_type": "markdown", - "id": "27c43f34", + "id": "f1ef1af4", "metadata": { "editable": true }, @@ -1557,7 +1557,7 @@ }, { "cell_type": "markdown", - "id": "35ac64e2", + "id": "4caeb714", "metadata": { "editable": true }, @@ -1571,7 +1571,7 @@ }, { "cell_type": "markdown", - "id": "7ec11e59", + "id": "1ae8bc37", "metadata": { "editable": true }, @@ -1584,7 +1584,7 @@ }, { "cell_type": "markdown", - "id": "8d1a1a24", + "id": "40a65636", "metadata": { "editable": true }, @@ -1603,7 +1603,7 @@ }, { "cell_type": "markdown", - "id": "b12f1560", + "id": "2391a067", "metadata": { "editable": true }, @@ -1615,7 +1615,7 @@ }, { "cell_type": "markdown", - "id": "7975e5ec", + "id": "6e520869", "metadata": { "editable": true }, @@ -1627,7 +1627,7 @@ }, { "cell_type": "markdown", - "id": "4628dae3", + "id": "fb16e030", "metadata": { "editable": true }, @@ -1637,7 +1637,7 @@ }, { "cell_type": "markdown", - "id": "6acd55ed", + "id": "2ca4a36d", "metadata": { "editable": true }, @@ -1649,7 +1649,7 @@ }, { "cell_type": "markdown", - "id": "15268d5e", + "id": "d69c7401", "metadata": { "editable": true }, @@ -1662,7 +1662,7 @@ }, { "cell_type": "markdown", - "id": "f7cc7e46", + "id": "a09849f0", "metadata": { "editable": true }, @@ -1681,7 +1681,7 @@ }, { "cell_type": "markdown", - "id": "91f506bb", + "id": "c675263c", "metadata": { "editable": true }, @@ -1691,7 +1691,7 @@ }, { "cell_type": "markdown", - "id": "3f65d15d", + "id": "bc777568", "metadata": { "editable": true }, @@ -1710,7 +1710,7 @@ }, { "cell_type": "markdown", - "id": "4dda44f3", + "id": "0256a11f", "metadata": { "editable": true }, @@ -1726,7 +1726,7 @@ }, { "cell_type": "markdown", - "id": "3a6e7b9b", + "id": "1536b648", "metadata": { "editable": true }, @@ -1740,7 +1740,7 @@ }, { "cell_type": "markdown", - "id": "d907b263", + "id": "55352138", "metadata": { "editable": true }, @@ -1755,7 +1755,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "8dbb102f", + "id": "787cdcf2", "metadata": { "collapsed": false, "editable": true @@ -1776,7 +1776,7 @@ }, { "cell_type": "markdown", - "id": "25852e86", + "id": "2dab6ee7", "metadata": { "editable": true }, @@ -1791,7 +1791,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "cb3ee7b6", + "id": "5aa179ff", "metadata": { "collapsed": false, "editable": true @@ -1823,7 +1823,7 @@ }, { "cell_type": "markdown", - "id": "6f2860ea", + "id": "d42d1ba1", "metadata": { "editable": true }, @@ -1840,7 +1840,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "48781620", + "id": "944a3986", "metadata": { "collapsed": false, "editable": true @@ -1865,7 +1865,7 @@ }, { "cell_type": "markdown", - "id": "4ccdedad", + "id": "0a3924ea", "metadata": { "editable": true }, @@ -1876,7 +1876,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e4090257", + "id": "0f1f92fe", "metadata": { "collapsed": false, "editable": true @@ -1930,7 +1930,7 @@ }, { "cell_type": "markdown", - "id": "6547bf2f", + "id": "62b00f06", "metadata": { "editable": true }, @@ -1949,7 +1949,7 @@ }, { "cell_type": "markdown", - "id": "4e26eab7", + "id": "26755601", "metadata": { "editable": true }, @@ -1961,7 +1961,7 @@ }, { "cell_type": "markdown", - "id": "7f6a0df9", + "id": "bc5ac54d", "metadata": { "editable": true }, @@ -1971,7 +1971,7 @@ }, { "cell_type": "markdown", - "id": "5ff73ba2", + "id": "bbd7b46c", "metadata": { "editable": true }, @@ -1988,7 +1988,7 @@ }, { "cell_type": "markdown", - "id": "ae6e2e42", + "id": "ad63cfb3", "metadata": { "editable": true }, @@ -1998,7 +1998,7 @@ }, { "cell_type": "markdown", - "id": "87a8dccc", + "id": "bbb4b936", "metadata": { "editable": true }, @@ -2013,7 +2013,7 @@ }, { "cell_type": "markdown", - "id": "1db8e000", + "id": "6f7840f0", "metadata": { "editable": true }, @@ -2023,7 +2023,7 @@ }, { "cell_type": "markdown", - "id": "59e0c46d", + "id": "c6c6be65", "metadata": { "editable": true }, @@ -2037,7 +2037,7 @@ }, { "cell_type": "markdown", - "id": "ce39f8d0", + "id": "ff19b6d4", "metadata": { "editable": true }, @@ -2051,7 +2051,7 @@ }, { "cell_type": "markdown", - "id": "526f22b3", + "id": "9de58564", "metadata": { "editable": true }, @@ -2063,7 +2063,7 @@ }, { "cell_type": "markdown", - "id": "5d16d7c8", + "id": "48d6bcc3", "metadata": { "editable": true }, @@ -2075,7 +2075,7 @@ }, { "cell_type": "markdown", - "id": "11a74368", + "id": "d53afe93", "metadata": { "editable": true }, @@ -2085,7 +2085,7 @@ }, { "cell_type": "markdown", - "id": "0ca3614f", + "id": "b16af8c4", "metadata": { "editable": true }, @@ -2097,7 +2097,7 @@ }, { "cell_type": "markdown", - "id": "b98abb6c", + "id": "bd891fbd", "metadata": { "editable": true }, @@ -2107,7 +2107,7 @@ }, { "cell_type": "markdown", - "id": "813567cc", + "id": "537cffa8", "metadata": { "editable": true }, @@ -2124,7 +2124,7 @@ }, { "cell_type": "markdown", - "id": "ed905c7b", + "id": "ec709769", "metadata": { "editable": true }, @@ -2134,7 +2134,7 @@ }, { "cell_type": "markdown", - "id": "0136bdac", + "id": "c773bac2", "metadata": { "editable": true }, @@ -2146,7 +2146,7 @@ }, { "cell_type": "markdown", - "id": "d43e6609", + "id": "2f5a134d", "metadata": { "editable": true }, @@ -2156,7 +2156,7 @@ }, { "cell_type": "markdown", - "id": "15d2bb49", + "id": "eb807c3b", "metadata": { "editable": true }, @@ -2168,7 +2168,7 @@ }, { "cell_type": "markdown", - "id": "374104f4", + "id": "b445227a", "metadata": { "editable": true }, @@ -2180,7 +2180,7 @@ }, { "cell_type": "markdown", - "id": "86f4db59", + "id": "e2d19443", "metadata": { "editable": true }, @@ -2192,7 +2192,7 @@ }, { "cell_type": "markdown", - "id": "9d007f11", + "id": "83432108", "metadata": { "editable": true }, @@ -2214,7 +2214,7 @@ }, { "cell_type": "markdown", - "id": "03c93eed", + "id": "b4567b33", "metadata": { "editable": true }, @@ -2226,7 +2226,7 @@ }, { "cell_type": "markdown", - "id": "3ee37fac", + "id": "9c1ac81c", "metadata": { "editable": true }, @@ -2243,7 +2243,7 @@ }, { "cell_type": "markdown", - "id": "13290881", + "id": "d17f2511", "metadata": { "editable": true }, @@ -2255,7 +2255,7 @@ }, { "cell_type": "markdown", - "id": "3896b3e6", + "id": "df84755b", "metadata": { "editable": true }, @@ -2265,7 +2265,7 @@ }, { "cell_type": "markdown", - "id": "ca47bd66", + "id": "b06436ad", "metadata": { "editable": true }, @@ -2277,7 +2277,7 @@ }, { "cell_type": "markdown", - "id": "1513e1d0", + "id": "587b6150", "metadata": { "editable": true }, @@ -2287,7 +2287,7 @@ }, { "cell_type": "markdown", - "id": "4b9bf25a", + "id": "b76d287d", "metadata": { "editable": true }, @@ -2299,7 +2299,7 @@ }, { "cell_type": "markdown", - "id": "2eeb03c8", + "id": "23c5a773", "metadata": { "editable": true }, @@ -2309,7 +2309,7 @@ }, { "cell_type": "markdown", - "id": "da278d8e", + "id": "cbcc9f1d", "metadata": { "editable": true }, @@ -2321,7 +2321,7 @@ }, { "cell_type": "markdown", - "id": "2b341903", + "id": "5122c264", "metadata": { "editable": true }, @@ -2338,7 +2338,7 @@ }, { "cell_type": "markdown", - "id": "e66723d1", + "id": "53acab64", "metadata": { "editable": true }, @@ -2351,7 +2351,7 @@ }, { "cell_type": "markdown", - "id": "85cff01a", + "id": "da978d1f", "metadata": { "editable": true }, @@ -2363,7 +2363,7 @@ }, { "cell_type": "markdown", - "id": "c3bdf4f5", + "id": "00e0cb68", "metadata": { "editable": true }, @@ -2373,7 +2373,7 @@ }, { "cell_type": "markdown", - "id": "1306ed38", + "id": "3007cfd4", "metadata": { "editable": true }, @@ -2386,7 +2386,7 @@ }, { "cell_type": "markdown", - "id": "00474af5", + "id": "4f1319c4", "metadata": { "editable": true }, @@ -2396,7 +2396,7 @@ }, { "cell_type": "markdown", - "id": "346ae1ad", + "id": "912ad3ed", "metadata": { "editable": true }, @@ -2408,7 +2408,7 @@ }, { "cell_type": "markdown", - "id": "36f83c2a", + "id": "c8ec9dd6", "metadata": { "editable": true }, @@ -2421,7 +2421,7 @@ }, { "cell_type": "markdown", - "id": "eb246827", + "id": "b9557d10", "metadata": { "editable": true }, @@ -2434,7 +2434,7 @@ }, { "cell_type": "markdown", - "id": "d38c34b0", + "id": "218a7c1b", "metadata": { "editable": true }, @@ -2446,7 +2446,7 @@ }, { "cell_type": "markdown", - "id": "e3f2141f", + "id": "901a6e63", "metadata": { "editable": true }, @@ -2458,7 +2458,7 @@ }, { "cell_type": "markdown", - "id": "74f56599", + "id": "7fcc6d59", "metadata": { "editable": true }, @@ -2468,7 +2468,7 @@ }, { "cell_type": "markdown", - "id": "ea246d4b", + "id": "f95ec485", "metadata": { "editable": true }, @@ -2481,7 +2481,7 @@ }, { "cell_type": "markdown", - "id": "c6b1faa8", + "id": "9756e227", "metadata": { "editable": true }, @@ -2493,7 +2493,7 @@ }, { "cell_type": "markdown", - "id": "7b2fc09f", + "id": "8126451c", "metadata": { "editable": true }, @@ -2505,7 +2505,7 @@ }, { "cell_type": "markdown", - "id": "a9f2c69a", + "id": "9a842551", "metadata": { "editable": true }, @@ -2515,7 +2515,7 @@ }, { "cell_type": "markdown", - "id": "2fb35c59", + "id": "d191fdbb", "metadata": { "editable": true }, @@ -2527,7 +2527,7 @@ }, { "cell_type": "markdown", - "id": "2e7636c6", + "id": "9dbed509", "metadata": { "editable": true }, @@ -2541,7 +2541,7 @@ }, { "cell_type": "markdown", - "id": "51bd5332", + "id": "deb632d6", "metadata": { "editable": true }, @@ -2553,7 +2553,7 @@ }, { "cell_type": "markdown", - "id": "bbd07896", + "id": "b11fefee", "metadata": { "editable": true }, @@ -2563,7 +2563,7 @@ }, { "cell_type": "markdown", - "id": "39cd7db8", + "id": "dbbeb39d", "metadata": { "editable": true }, @@ -2575,7 +2575,7 @@ }, { "cell_type": "markdown", - "id": "245333af", + "id": "f58964e9", "metadata": { "editable": true }, @@ -2587,7 +2587,7 @@ }, { "cell_type": "markdown", - "id": "5ea29678", + "id": "94a3ef6c", "metadata": { "editable": true }, @@ -2599,7 +2599,7 @@ }, { "cell_type": "markdown", - "id": "ad883534", + "id": "9e079bd5", "metadata": { "editable": true }, @@ -2618,7 +2618,7 @@ }, { "cell_type": "markdown", - "id": "54e5791f", + "id": "c3acf4d0", "metadata": { "editable": true }, @@ -2630,7 +2630,7 @@ }, { "cell_type": "markdown", - "id": "c406bcb3", + "id": "9a1d8d90", "metadata": { "editable": true }, @@ -2640,7 +2640,7 @@ }, { "cell_type": "markdown", - "id": "1a6f9659", + "id": "b30e117f", "metadata": { "editable": true }, @@ -2652,7 +2652,7 @@ }, { "cell_type": "markdown", - "id": "e2edbb3a", + "id": "da4ff9a6", "metadata": { "editable": true }, @@ -2664,7 +2664,7 @@ }, { "cell_type": "markdown", - "id": "402353ad", + "id": "fa2e2c64", "metadata": { "editable": true }, @@ -2676,7 +2676,7 @@ }, { "cell_type": "markdown", - "id": "423b6396", + "id": "6d2b7360", "metadata": { "editable": true }, @@ -2694,7 +2694,7 @@ }, { "cell_type": "markdown", - "id": "f1d49878", + "id": "9615255d", "metadata": { "editable": true }, @@ -2706,7 +2706,7 @@ }, { "cell_type": "markdown", - "id": "29e021c6", + "id": "58969e66", "metadata": { "editable": true }, @@ -2716,7 +2716,7 @@ }, { "cell_type": "markdown", - "id": "7ea41670", + "id": "d82ae993", "metadata": { "editable": true }, @@ -2728,7 +2728,7 @@ }, { "cell_type": "markdown", - "id": "b5c24d1b", + "id": "727855ea", "metadata": { "editable": true }, @@ -2738,7 +2738,7 @@ }, { "cell_type": "markdown", - "id": "5cde9430", + "id": "5bc34271", "metadata": { "editable": true }, @@ -2750,7 +2750,7 @@ }, { "cell_type": "markdown", - "id": "f8725e06", + "id": "b103f555", "metadata": { "editable": true }, @@ -2766,7 +2766,7 @@ }, { "cell_type": "markdown", - "id": "77595d78", + "id": "05ecb4d2", "metadata": { "editable": true }, @@ -2778,7 +2778,7 @@ }, { "cell_type": "markdown", - "id": "30d6a0a4", + "id": "3d45b148", "metadata": { "editable": true }, @@ -2788,7 +2788,7 @@ }, { "cell_type": "markdown", - "id": "e6aaeb07", + "id": "4b3da062", "metadata": { "editable": true }, @@ -2800,7 +2800,7 @@ }, { "cell_type": "markdown", - "id": "61f8860b", + "id": "8aa21d29", "metadata": { "editable": true }, @@ -2810,7 +2810,7 @@ }, { "cell_type": "markdown", - "id": "848fab1b", + "id": "fd85a55c", "metadata": { "editable": true }, @@ -2822,7 +2822,7 @@ }, { "cell_type": "markdown", - "id": "6b3f9c65", + "id": "f8247ac9", "metadata": { "editable": true }, @@ -2832,7 +2832,7 @@ }, { "cell_type": "markdown", - "id": "a4535489", + "id": "f41b615a", "metadata": { "editable": true }, @@ -2844,7 +2844,7 @@ }, { "cell_type": "markdown", - "id": "08d1dcfc", + "id": "59931b66", "metadata": { "editable": true }, @@ -2859,7 +2859,7 @@ }, { "cell_type": "markdown", - "id": "bfad6360", + "id": "72b3ba92", "metadata": { "editable": true }, @@ -2871,7 +2871,7 @@ }, { "cell_type": "markdown", - "id": "ececd781", + "id": "c2a3e54b", "metadata": { "editable": true }, @@ -2881,7 +2881,7 @@ }, { "cell_type": "markdown", - "id": "834ae242", + "id": "6ee94335", "metadata": { "editable": true }, @@ -2893,7 +2893,7 @@ }, { "cell_type": "markdown", - "id": "ef16a3d3", + "id": "2d9fee60", "metadata": { "editable": true }, @@ -2903,7 +2903,7 @@ }, { "cell_type": "markdown", - "id": "a40a2bf7", + "id": "c7bf140a", "metadata": { "editable": true }, @@ -2915,7 +2915,7 @@ }, { "cell_type": "markdown", - "id": "6c6b14af", + "id": "45ba39c1", "metadata": { "editable": true }, @@ -2925,7 +2925,7 @@ }, { "cell_type": "markdown", - "id": "d9fb8933", + "id": "2df21138", "metadata": { "editable": true }, @@ -2937,7 +2937,7 @@ }, { "cell_type": "markdown", - "id": "272cb2f8", + "id": "8254fbf3", "metadata": { "editable": true }, @@ -2947,7 +2947,7 @@ }, { "cell_type": "markdown", - "id": "fadce691", + "id": "ed8b98e6", "metadata": { "editable": true }, @@ -2959,7 +2959,7 @@ }, { "cell_type": "markdown", - "id": "c7cd5640", + "id": "91a4cf27", "metadata": { "editable": true }, @@ -2969,7 +2969,7 @@ }, { "cell_type": "markdown", - "id": "463185a0", + "id": "d73ccdd0", "metadata": { "editable": true }, @@ -2981,7 +2981,7 @@ }, { "cell_type": "markdown", - "id": "7b2748c6", + "id": "7a5982dd", "metadata": { "editable": true }, @@ -2991,7 +2991,7 @@ }, { "cell_type": "markdown", - "id": "14027ed3", + "id": "0eb2c91e", "metadata": { "editable": true }, @@ -3005,7 +3005,7 @@ }, { "cell_type": "markdown", - "id": "6ee85f1d", + "id": "c1dca2c2", "metadata": { "editable": true }, @@ -3018,7 +3018,7 @@ }, { "cell_type": "markdown", - "id": "b5208771", + "id": "fe91c3be", "metadata": { "editable": true }, @@ -3030,7 +3030,7 @@ }, { "cell_type": "markdown", - "id": "c1b21b70", + "id": "686d633f", "metadata": { "editable": true }, @@ -3040,7 +3040,7 @@ }, { "cell_type": "markdown", - "id": "c7f60db1", + "id": "8b108b5c", "metadata": { "editable": true }, @@ -3052,7 +3052,7 @@ }, { "cell_type": "markdown", - "id": "908ab8d8", + "id": "38a0a1c5", "metadata": { "editable": true }, @@ -3064,7 +3064,7 @@ }, { "cell_type": "markdown", - "id": "aebb6349", + "id": "8abd5c85", "metadata": { "editable": true }, @@ -3076,7 +3076,7 @@ }, { "cell_type": "markdown", - "id": "c5e7c53f", + "id": "3345e143", "metadata": { "editable": true }, @@ -3086,7 +3086,7 @@ }, { "cell_type": "markdown", - "id": "2197be2d", + "id": "3187cf1e", "metadata": { "editable": true }, @@ -3098,7 +3098,7 @@ }, { "cell_type": "markdown", - "id": "3d6f2196", + "id": "3d2a9090", "metadata": { "editable": true }, @@ -3110,7 +3110,7 @@ }, { "cell_type": "markdown", - "id": "5f340903", + "id": "b75f8729", "metadata": { "editable": true }, @@ -3122,7 +3122,7 @@ }, { "cell_type": "markdown", - "id": "11b0427e", + "id": "38d98009", "metadata": { "editable": true }, @@ -3132,7 +3132,7 @@ }, { "cell_type": "markdown", - "id": "963a0089", + "id": "13cb5fc3", "metadata": { "editable": true }, @@ -3144,7 +3144,7 @@ }, { "cell_type": "markdown", - "id": "7db2daaa", + "id": "93773fea", "metadata": { "editable": true }, @@ -3159,7 +3159,7 @@ }, { "cell_type": "markdown", - "id": "688d8588", + "id": "f34d26b5", "metadata": { "editable": true }, @@ -3171,7 +3171,7 @@ }, { "cell_type": "markdown", - "id": "711738d9", + "id": "f489bb3a", "metadata": { "editable": true }, @@ -3183,7 +3183,7 @@ }, { "cell_type": "markdown", - "id": "6c949f8e", + "id": "f101dfbb", "metadata": { "editable": true }, @@ -3193,7 +3193,7 @@ }, { "cell_type": "markdown", - "id": "0bbc3b07", + "id": "1d6d9ab6", "metadata": { "editable": true }, @@ -3205,7 +3205,7 @@ }, { "cell_type": "markdown", - "id": "1cbf8a76", + "id": "1bcbe166", "metadata": { "editable": true }, @@ -3215,7 +3215,7 @@ }, { "cell_type": "markdown", - "id": "8f10e5bd", + "id": "a987944d", "metadata": { "editable": true }, @@ -3227,7 +3227,7 @@ }, { "cell_type": "markdown", - "id": "b547328c", + "id": "8306031d", "metadata": { "editable": true }, @@ -3237,7 +3237,7 @@ }, { "cell_type": "markdown", - "id": "707c1a57", + "id": "dd98cec2", "metadata": { "editable": true }, @@ -3249,7 +3249,7 @@ }, { "cell_type": "markdown", - "id": "b90e6997", + "id": "c1e9a309", "metadata": { "editable": true }, @@ -3262,7 +3262,7 @@ }, { "cell_type": "markdown", - "id": "e4f6ca20", + "id": "505903b0", "metadata": { "editable": true }, @@ -3274,7 +3274,7 @@ }, { "cell_type": "markdown", - "id": "b3d7018c", + "id": "e779c9ea", "metadata": { "editable": true }, @@ -3286,7 +3286,7 @@ }, { "cell_type": "markdown", - "id": "9e6f1823", + "id": "39d385a9", "metadata": { "editable": true }, @@ -3296,7 +3296,7 @@ }, { "cell_type": "markdown", - "id": "ea3b2bf0", + "id": "e8cd530b", "metadata": { "editable": true }, @@ -3308,7 +3308,7 @@ }, { "cell_type": "markdown", - "id": "484b5cd4", + "id": "ead68a11", "metadata": { "editable": true }, @@ -3327,7 +3327,7 @@ }, { "cell_type": "markdown", - "id": "4861f625", + "id": "b0ab96bc", "metadata": { "editable": true }, @@ -3339,7 +3339,7 @@ }, { "cell_type": "markdown", - "id": "9928eadb", + "id": "46003ad2", "metadata": { "editable": true }, @@ -3349,7 +3349,7 @@ }, { "cell_type": "markdown", - "id": "c94a1223", + "id": "99fa4026", "metadata": { "editable": true }, @@ -3361,7 +3361,7 @@ }, { "cell_type": "markdown", - "id": "9bcaff12", + "id": "2bd2c1e6", "metadata": { "editable": true }, @@ -3371,7 +3371,7 @@ }, { "cell_type": "markdown", - "id": "1b7020d6", + "id": "db555f2e", "metadata": { "editable": true }, @@ -3383,7 +3383,7 @@ }, { "cell_type": "markdown", - "id": "51fce0e9", + "id": "ac172cde", "metadata": { "editable": true }, @@ -3393,7 +3393,7 @@ }, { "cell_type": "markdown", - "id": "c1fe81b2", + "id": "990497d7", "metadata": { "editable": true }, @@ -3405,7 +3405,7 @@ }, { "cell_type": "markdown", - "id": "414a2e5b", + "id": "3991a007", "metadata": { "editable": true }, @@ -3421,7 +3421,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "57451fca", + "id": "38060912", "metadata": { "collapsed": false, "editable": true @@ -3483,7 +3483,7 @@ }, { "cell_type": "markdown", - "id": "6d10b060", + "id": "2e7dc8bb", "metadata": { "editable": true }, @@ -3500,7 +3500,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "100f7dbb", + "id": "23ed1fbc", "metadata": { "collapsed": false, "editable": true @@ -3567,7 +3567,7 @@ }, { "cell_type": "markdown", - "id": "3d50bfd5", + "id": "924e8e81", "metadata": { "editable": true }, @@ -3586,7 +3586,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "409f405d", + "id": "0abdae31", "metadata": { "collapsed": false, "editable": true @@ -3675,7 +3675,7 @@ }, { "cell_type": "markdown", - "id": "50e9be28", + "id": "fba395ed", "metadata": { "editable": true }, @@ -3690,7 +3690,7 @@ }, { "cell_type": "markdown", - "id": "4c5c2565", + "id": "fcb0e136", "metadata": { "editable": true }, @@ -3719,7 +3719,7 @@ }, { "cell_type": "markdown", - "id": "f264b531", + "id": "405523ba", "metadata": { "editable": true }, @@ -3735,7 +3735,7 @@ }, { "cell_type": "markdown", - "id": "800b179f", + "id": "007393d7", "metadata": { "editable": true }, @@ -3758,7 +3758,7 @@ }, { "cell_type": "markdown", - "id": "b4815186", + "id": "d0c77724", "metadata": { "editable": true }, @@ -3770,7 +3770,7 @@ }, { "cell_type": "markdown", - "id": "2a343970", + "id": "bc0be2c7", "metadata": { "editable": true }, @@ -3781,7 +3781,7 @@ }, { "cell_type": "markdown", - "id": "358077b0", + "id": "b0520d5f", "metadata": { "editable": true }, @@ -3793,7 +3793,7 @@ }, { "cell_type": "markdown", - "id": "73f23e81", + "id": "9697d980", "metadata": { "editable": true }, @@ -3803,7 +3803,7 @@ }, { "cell_type": "markdown", - "id": "bebdffa9", + "id": "7ac89ed1", "metadata": { "editable": true }, @@ -3819,7 +3819,7 @@ }, { "cell_type": "markdown", - "id": "8c38cb47", + "id": "893b3845", "metadata": { "editable": true }, @@ -3830,7 +3830,7 @@ }, { "cell_type": "markdown", - "id": "193c47ee", + "id": "9bf528ea", "metadata": { "editable": true }, @@ -3853,7 +3853,7 @@ }, { "cell_type": "markdown", - "id": "92832b0a", + "id": "ec1d299e", "metadata": { "editable": true }, @@ -3866,7 +3866,7 @@ }, { "cell_type": "markdown", - "id": "5f517886", + "id": "6f530077", "metadata": { "editable": true }, @@ -3878,7 +3878,7 @@ }, { "cell_type": "markdown", - "id": "f9dea445", + "id": "d59b6d73", "metadata": { "editable": true }, @@ -3892,7 +3892,7 @@ }, { "cell_type": "markdown", - "id": "3aececb1", + "id": "f002ceed", "metadata": { "editable": true }, @@ -3923,7 +3923,7 @@ }, { "cell_type": "markdown", - "id": "f38f2849", + "id": "af17a800", "metadata": { "editable": true }, @@ -3945,7 +3945,7 @@ }, { "cell_type": "markdown", - "id": "47dbc181", + "id": "4ea124bc", "metadata": { "editable": true }, @@ -3957,7 +3957,7 @@ }, { "cell_type": "markdown", - "id": "a409614d", + "id": "e52365d1", "metadata": { "editable": true }, @@ -3970,7 +3970,7 @@ }, { "cell_type": "markdown", - "id": "32e59beb", + "id": "4a4304e3", "metadata": { "editable": true }, @@ -3982,7 +3982,7 @@ }, { "cell_type": "markdown", - "id": "e5d38011", + "id": "60ee36ba", "metadata": { "editable": true }, @@ -3994,7 +3994,7 @@ }, { "cell_type": "markdown", - "id": "999a6bc6", + "id": "6d45eb3d", "metadata": { "editable": true }, @@ -4006,7 +4006,7 @@ }, { "cell_type": "markdown", - "id": "888f1db7", + "id": "9699a1b3", "metadata": { "editable": true }, @@ -4018,7 +4018,7 @@ }, { "cell_type": "markdown", - "id": "76360bbe", + "id": "3da5b6e5", "metadata": { "editable": true }, @@ -4041,7 +4041,7 @@ }, { "cell_type": "markdown", - "id": "6b1976cd", + "id": "16978065", "metadata": { "editable": true }, @@ -4053,7 +4053,7 @@ }, { "cell_type": "markdown", - "id": "5ff419a1", + "id": "b9344e4c", "metadata": { "editable": true }, @@ -4064,7 +4064,7 @@ }, { "cell_type": "markdown", - "id": "82730c14", + "id": "a75674b4", "metadata": { "editable": true }, @@ -4076,7 +4076,7 @@ }, { "cell_type": "markdown", - "id": "4982965d", + "id": "f2fc7e17", "metadata": { "editable": true }, @@ -4088,7 +4088,7 @@ }, { "cell_type": "markdown", - "id": "ab4c31a7", + "id": "082c96dc", "metadata": { "editable": true }, @@ -4100,7 +4100,7 @@ }, { "cell_type": "markdown", - "id": "768cb1fc", + "id": "8454e9a8", "metadata": { "editable": true }, @@ -4111,7 +4111,7 @@ }, { "cell_type": "markdown", - "id": "f9f0c7f3", + "id": "672c4793", "metadata": { "editable": true }, @@ -4123,7 +4123,7 @@ }, { "cell_type": "markdown", - "id": "c617cdd7", + "id": "6f91625b", "metadata": { "editable": true }, @@ -4134,7 +4134,7 @@ }, { "cell_type": "markdown", - "id": "760dd73f", + "id": "0fb07f7b", "metadata": { "editable": true }, @@ -4146,7 +4146,7 @@ }, { "cell_type": "markdown", - "id": "0fd8cbb0", + "id": "670ac661", "metadata": { "editable": true }, @@ -4181,7 +4181,7 @@ }, { "cell_type": "markdown", - "id": "bbfab5d3", + "id": "3ee59148", "metadata": { "editable": true }, @@ -4193,7 +4193,7 @@ }, { "cell_type": "markdown", - "id": "f4ee97d7", + "id": "d677bb4b", "metadata": { "editable": true }, @@ -4203,7 +4203,7 @@ }, { "cell_type": "markdown", - "id": "1e74d52d", + "id": "6c5f83e5", "metadata": { "editable": true }, @@ -4215,7 +4215,7 @@ }, { "cell_type": "markdown", - "id": "b983cb4c", + "id": "cffe270c", "metadata": { "editable": true }, @@ -4225,7 +4225,7 @@ }, { "cell_type": "markdown", - "id": "c90a8ed0", + "id": "dbfc8d33", "metadata": { "editable": true }, @@ -4237,7 +4237,7 @@ }, { "cell_type": "markdown", - "id": "f38fcc19", + "id": "4cccd33d", "metadata": { "editable": true }, @@ -4247,7 +4247,7 @@ }, { "cell_type": "markdown", - "id": "348010f6", + "id": "f0c6c8da", "metadata": { "editable": true }, @@ -4259,7 +4259,7 @@ }, { "cell_type": "markdown", - "id": "cd33a62d", + "id": "ca3e371e", "metadata": { "editable": true }, @@ -4279,7 +4279,7 @@ }, { "cell_type": "markdown", - "id": "2bb675c1", + "id": "3696b23c", "metadata": { "editable": true }, @@ -4291,7 +4291,7 @@ }, { "cell_type": "markdown", - "id": "d1ff7ab5", + "id": "b395ecc7", "metadata": { "editable": true }, @@ -4301,7 +4301,7 @@ }, { "cell_type": "markdown", - "id": "80d51bf1", + "id": "e18367e7", "metadata": { "editable": true }, @@ -4313,7 +4313,7 @@ }, { "cell_type": "markdown", - "id": "3eb856c7", + "id": "c72b9de9", "metadata": { "editable": true }, @@ -4327,7 +4327,7 @@ }, { "cell_type": "markdown", - "id": "84c98a40", + "id": "bd9a0af8", "metadata": { "editable": true }, @@ -4339,7 +4339,7 @@ }, { "cell_type": "markdown", - "id": "094f6489", + "id": "15b07238", "metadata": { "editable": true }, @@ -4349,7 +4349,7 @@ }, { "cell_type": "markdown", - "id": "40b87dab", + "id": "ad5ff28d", "metadata": { "editable": true }, @@ -4361,7 +4361,7 @@ }, { "cell_type": "markdown", - "id": "02ee6009", + "id": "faead94c", "metadata": { "editable": true }, @@ -4371,7 +4371,7 @@ }, { "cell_type": "markdown", - "id": "c9b83f7e", + "id": "d7611ab2", "metadata": { "editable": true }, @@ -4383,7 +4383,7 @@ }, { "cell_type": "markdown", - "id": "28693db1", + "id": "d769b2ab", "metadata": { "editable": true }, @@ -4393,7 +4393,7 @@ }, { "cell_type": "markdown", - "id": "cd0819c2", + "id": "c23dd9bc", "metadata": { "editable": true }, @@ -4405,7 +4405,7 @@ }, { "cell_type": "markdown", - "id": "c73d36a3", + "id": "ca52774f", "metadata": { "editable": true }, @@ -4441,7 +4441,7 @@ }, { "cell_type": "markdown", - "id": "779d9389", + "id": "b8518297", "metadata": { "editable": true }, @@ -4453,7 +4453,7 @@ }, { "cell_type": "markdown", - "id": "63db00a0", + "id": "88c98eb4", "metadata": { "editable": true }, @@ -4466,7 +4466,7 @@ }, { "cell_type": "markdown", - "id": "ab01099c", + "id": "e2334bed", "metadata": { "editable": true }, @@ -4478,7 +4478,7 @@ }, { "cell_type": "markdown", - "id": "ec0ebb28", + "id": "f4aef077", "metadata": { "editable": true }, @@ -4492,7 +4492,7 @@ }, { "cell_type": "markdown", - "id": "4c432161", + "id": "3090686c", "metadata": { "editable": true }, @@ -4504,7 +4504,7 @@ }, { "cell_type": "markdown", - "id": "03d0cdb8", + "id": "624a5816", "metadata": { "editable": true }, @@ -4515,7 +4515,7 @@ }, { "cell_type": "markdown", - "id": "8d7a0ad2", + "id": "2d4d1d7a", "metadata": { "editable": true }, @@ -4527,7 +4527,7 @@ }, { "cell_type": "markdown", - "id": "fcdc27a1", + "id": "fcbd4971", "metadata": { "editable": true }, @@ -4539,7 +4539,7 @@ }, { "cell_type": "markdown", - "id": "e773eb9e", + "id": "5e432bdf", "metadata": { "editable": true }, @@ -4557,7 +4557,7 @@ }, { "cell_type": "markdown", - "id": "3892720e", + "id": "82b481e6", "metadata": { "editable": true }, @@ -4575,7 +4575,7 @@ }, { "cell_type": "markdown", - "id": "c68513be", + "id": "2dc44209", "metadata": { "editable": true }, @@ -4585,7 +4585,7 @@ }, { "cell_type": "markdown", - "id": "db1bcf38", + "id": "b87f7b48", "metadata": { "editable": true }, @@ -4614,7 +4614,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "aa27ede9", + "id": "f0857c9a", "metadata": { "collapsed": false, "editable": true @@ -4688,7 +4688,7 @@ }, { "cell_type": "markdown", - "id": "66975598", + "id": "d26c117a", "metadata": { "editable": true }, @@ -4718,7 +4718,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "f90a238f", + "id": "612caaa8", "metadata": { "collapsed": false, "editable": true @@ -4767,7 +4767,7 @@ }, { "cell_type": "markdown", - "id": "d32f4700", + "id": "11b2f0cf", "metadata": { "editable": true }, @@ -4783,7 +4783,7 @@ }, { "cell_type": "markdown", - "id": "5292b482", + "id": "73e296f1", "metadata": { "editable": true }, @@ -4801,7 +4801,7 @@ }, { "cell_type": "markdown", - "id": "6b827637", + "id": "b3da0a8c", "metadata": { "editable": true }, @@ -4813,7 +4813,7 @@ }, { "cell_type": "markdown", - "id": "6e73b7d4", + "id": "aae3f8ca", "metadata": { "editable": true }, @@ -4823,7 +4823,7 @@ }, { "cell_type": "markdown", - "id": "ead2878e", + "id": "d2b6b2a4", "metadata": { "editable": true }, @@ -4835,7 +4835,7 @@ }, { "cell_type": "markdown", - "id": "1302f31e", + "id": "beb2f725", "metadata": { "editable": true }, @@ -4845,7 +4845,7 @@ }, { "cell_type": "markdown", - "id": "dd411d77", + "id": "21d0b357", "metadata": { "editable": true }, @@ -4857,7 +4857,7 @@ }, { "cell_type": "markdown", - "id": "01dcd800", + "id": "599e0431", "metadata": { "editable": true }, @@ -4867,7 +4867,7 @@ }, { "cell_type": "markdown", - "id": "0a3fa1e5", + "id": "4ccbc8fe", "metadata": { "editable": true }, @@ -4879,7 +4879,7 @@ }, { "cell_type": "markdown", - "id": "e5ce5ac4", + "id": "1ba0163a", "metadata": { "editable": true }, @@ -4897,7 +4897,7 @@ }, { "cell_type": "markdown", - "id": "9221bb65", + "id": "ee506bef", "metadata": { "editable": true }, @@ -4909,7 +4909,7 @@ }, { "cell_type": "markdown", - "id": "0e7f22c4", + "id": "1763b92d", "metadata": { "editable": true }, @@ -4919,7 +4919,7 @@ }, { "cell_type": "markdown", - "id": "3565934d", + "id": "ab778325", "metadata": { "editable": true }, @@ -4931,7 +4931,7 @@ }, { "cell_type": "markdown", - "id": "5c4b9c3a", + "id": "97ccc31d", "metadata": { "editable": true }, @@ -4944,7 +4944,7 @@ }, { "cell_type": "markdown", - "id": "f91f265b", + "id": "1e2a47c9", "metadata": { "editable": true }, @@ -4956,7 +4956,7 @@ }, { "cell_type": "markdown", - "id": "a0427716", + "id": "57de9aac", "metadata": { "editable": true }, @@ -4966,7 +4966,7 @@ }, { "cell_type": "markdown", - "id": "117eb03b", + "id": "e6de5d0d", "metadata": { "editable": true }, @@ -4978,7 +4978,7 @@ }, { "cell_type": "markdown", - "id": "9015a44a", + "id": "43d04ae5", "metadata": { "editable": true }, @@ -4990,7 +4990,7 @@ }, { "cell_type": "markdown", - "id": "a184ac5a", + "id": "181af975", "metadata": { "editable": true }, @@ -5002,7 +5002,7 @@ }, { "cell_type": "markdown", - "id": "ae799fbe", + "id": "e181c4e4", "metadata": { "editable": true }, @@ -5012,7 +5012,7 @@ }, { "cell_type": "markdown", - "id": "055d1b54", + "id": "4c8e7729", "metadata": { "editable": true }, @@ -5024,7 +5024,7 @@ }, { "cell_type": "markdown", - "id": "104615f6", + "id": "3412c1e0", "metadata": { "editable": true }, @@ -5036,7 +5036,7 @@ }, { "cell_type": "markdown", - "id": "8d868c3b", + "id": "84009c6f", "metadata": { "editable": true }, @@ -5048,7 +5048,7 @@ }, { "cell_type": "markdown", - "id": "c88440ff", + "id": "77b554c8", "metadata": { "editable": true }, @@ -5058,7 +5058,7 @@ }, { "cell_type": "markdown", - "id": "07c1232a", + "id": "3ac87d91", "metadata": { "editable": true }, @@ -5070,7 +5070,7 @@ }, { "cell_type": "markdown", - "id": "8416dffb", + "id": "fbcf5797", "metadata": { "editable": true }, @@ -5083,7 +5083,7 @@ "$2\\tau^2=1/\\lambda$ while for the Gaussian distribution it is\n", "$\\sigma^2=1/(2\\lambda)$. Thus, increasing the variance means\n", "decreasing $\\lambda$ and shrinking the variance means increasing\n", - "$\\lamdbda$. When we increase $\\lambda$, this corresponds to shrinking the role of less important features (small singular values)." + "$\\lambda$. When we increase $\\lambda$, this corresponds to shrinking the role of less important features (small singular values)." ] } ],