diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle index 12f8a63dd..0e686f98a 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/.doctrees/week37.doctree b/doc/LectureNotes/_build/.doctrees/week37.doctree index 1b2e31d89..33878220b 100644 Binary files a/doc/LectureNotes/_build/.doctrees/week37.doctree and b/doc/LectureNotes/_build/.doctrees/week37.doctree differ diff --git a/doc/LectureNotes/_build/html/_images/week37_121_0.png b/doc/LectureNotes/_build/html/_images/week37_121_0.png index 843d99fe9..85f9fe77b 100644 Binary files a/doc/LectureNotes/_build/html/_images/week37_121_0.png and b/doc/LectureNotes/_build/html/_images/week37_121_0.png differ diff --git a/doc/LectureNotes/_build/html/_images/week37_139_3.png b/doc/LectureNotes/_build/html/_images/week37_139_3.png new file mode 100644 index 000000000..9ebeeb751 Binary files /dev/null and b/doc/LectureNotes/_build/html/_images/week37_139_3.png differ diff --git a/doc/LectureNotes/_build/html/_sources/week37.ipynb b/doc/LectureNotes/_build/html/_sources/week37.ipynb index c24beccbd..2281efc10 100644 --- a/doc/LectureNotes/_build/html/_sources/week37.ipynb +++ b/doc/LectureNotes/_build/html/_sources/week37.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7c0ddab1", + "id": "1abc3180", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "6c033bf4", + "id": "c1daea13", "metadata": { "editable": true }, @@ -29,7 +29,7 @@ }, { "cell_type": "markdown", - "id": "e4cd5fa1", + "id": "44f3b13a", "metadata": { "editable": true }, @@ -59,7 +59,7 @@ }, { "cell_type": "markdown", - "id": "bf80a276", + "id": "9bfba57b", "metadata": { "editable": true }, @@ -81,7 +81,7 @@ }, { "cell_type": "markdown", - "id": "0e1f0a90", + "id": "bb5184fb", "metadata": { "editable": true }, @@ -91,7 +91,7 @@ }, { "cell_type": "markdown", - "id": "1b290d64", + "id": "fe16ef77", "metadata": { "editable": true }, @@ -114,7 +114,7 @@ }, { "cell_type": "markdown", - "id": "ceed3a82", + "id": "16407da5", "metadata": { "editable": true }, @@ -126,7 +126,7 @@ }, { "cell_type": "markdown", - "id": "1d7e8f98", + "id": "7259f755", "metadata": { "editable": true }, @@ -139,7 +139,7 @@ }, { "cell_type": "markdown", - "id": "58722d7d", + "id": "8197a563", "metadata": { "editable": true }, @@ -151,7 +151,7 @@ }, { "cell_type": "markdown", - "id": "45120edc", + "id": "55178ede", "metadata": { "editable": true }, @@ -163,7 +163,7 @@ }, { "cell_type": "markdown", - "id": "4f3b680a", + "id": "8df6cfdc", "metadata": { "editable": true }, @@ -175,7 +175,7 @@ }, { "cell_type": "markdown", - "id": "08489797", + "id": "725df6b0", "metadata": { "editable": true }, @@ -186,7 +186,7 @@ }, { "cell_type": "markdown", - "id": "a1c81f06", + "id": "32b0c74a", "metadata": { "editable": true }, @@ -198,7 +198,7 @@ }, { "cell_type": "markdown", - "id": "4e092776", + "id": "40512d38", "metadata": { "editable": true }, @@ -209,7 +209,7 @@ }, { "cell_type": "markdown", - "id": "79e5358a", + "id": "1867bac9", "metadata": { "editable": true }, @@ -221,7 +221,7 @@ }, { "cell_type": "markdown", - "id": "e5a4f865", + "id": "d5d17026", "metadata": { "editable": true }, @@ -231,7 +231,7 @@ }, { "cell_type": "markdown", - "id": "10b81ba7", + "id": "70980886", "metadata": { "editable": true }, @@ -262,7 +262,7 @@ }, { "cell_type": "markdown", - "id": "3349cb27", + "id": "e2f951bb", "metadata": { "editable": true }, @@ -274,7 +274,7 @@ }, { "cell_type": "markdown", - "id": "0fd1502e", + "id": "85dbdab8", "metadata": { "editable": true }, @@ -286,7 +286,7 @@ }, { "cell_type": "markdown", - "id": "43cba0e8", + "id": "bcfb3f71", "metadata": { "editable": true }, @@ -296,7 +296,7 @@ }, { "cell_type": "markdown", - "id": "d6f4e7dc", + "id": "e59b8708", "metadata": { "editable": true }, @@ -308,7 +308,7 @@ }, { "cell_type": "markdown", - "id": "50c2d673", + "id": "80d942c3", "metadata": { "editable": true }, @@ -318,7 +318,7 @@ }, { "cell_type": "markdown", - "id": "30315a10", + "id": "45e5df6c", "metadata": { "editable": true }, @@ -330,7 +330,7 @@ }, { "cell_type": "markdown", - "id": "fd8cdf51", + "id": "0f759ec1", "metadata": { "editable": true }, @@ -340,7 +340,7 @@ }, { "cell_type": "markdown", - "id": "7323296b", + "id": "18e4dc4b", "metadata": { "editable": true }, @@ -352,7 +352,7 @@ }, { "cell_type": "markdown", - "id": "e21334ab", + "id": "b50c9cf8", "metadata": { "editable": true }, @@ -362,7 +362,7 @@ }, { "cell_type": "markdown", - "id": "82974124", + "id": "9c043888", "metadata": { "editable": true }, @@ -382,7 +382,7 @@ }, { "cell_type": "markdown", - "id": "e053e43c", + "id": "936f4f77", "metadata": { "editable": true }, @@ -394,7 +394,7 @@ }, { "cell_type": "markdown", - "id": "94098e13", + "id": "306274ee", "metadata": { "editable": true }, @@ -404,7 +404,7 @@ }, { "cell_type": "markdown", - "id": "27625b1f", + "id": "581c5f93", "metadata": { "editable": true }, @@ -416,7 +416,7 @@ }, { "cell_type": "markdown", - "id": "8f3cc8b4", + "id": "40a1da92", "metadata": { "editable": true }, @@ -428,7 +428,7 @@ }, { "cell_type": "markdown", - "id": "d7d5464d", + "id": "f030b59d", "metadata": { "editable": true }, @@ -440,7 +440,7 @@ }, { "cell_type": "markdown", - "id": "c292afee", + "id": "1f7cab98", "metadata": { "editable": true }, @@ -452,7 +452,7 @@ }, { "cell_type": "markdown", - "id": "cdbbd444", + "id": "e1446472", "metadata": { "editable": true }, @@ -464,7 +464,7 @@ }, { "cell_type": "markdown", - "id": "100a8014", + "id": "92ddfccf", "metadata": { "editable": true }, @@ -476,7 +476,7 @@ }, { "cell_type": "markdown", - "id": "d2e40c4d", + "id": "e91caeaf", "metadata": { "editable": true }, @@ -488,7 +488,7 @@ }, { "cell_type": "markdown", - "id": "1e48456e", + "id": "5c78d187", "metadata": { "editable": true }, @@ -500,7 +500,7 @@ }, { "cell_type": "markdown", - "id": "38ced5b6", + "id": "ed3da21c", "metadata": { "editable": true }, @@ -510,7 +510,7 @@ }, { "cell_type": "markdown", - "id": "1163c07b", + "id": "3e1b1c5b", "metadata": { "editable": true }, @@ -522,7 +522,7 @@ }, { "cell_type": "markdown", - "id": "becc087f", + "id": "e78923b1", "metadata": { "editable": true }, @@ -532,7 +532,7 @@ }, { "cell_type": "markdown", - "id": "5ca2b09d", + "id": "e1b17e7e", "metadata": { "editable": true }, @@ -551,7 +551,7 @@ }, { "cell_type": "markdown", - "id": "6572c77d", + "id": "77ece18e", "metadata": { "editable": true }, @@ -572,7 +572,7 @@ }, { "cell_type": "markdown", - "id": "2a3f65e5", + "id": "d327d5a7", "metadata": { "editable": true }, @@ -584,7 +584,7 @@ }, { "cell_type": "markdown", - "id": "2d264f77", + "id": "7102a93d", "metadata": { "editable": true }, @@ -595,7 +595,7 @@ }, { "cell_type": "markdown", - "id": "06b8a13c", + "id": "27bfcb69", "metadata": { "editable": true }, @@ -608,7 +608,7 @@ }, { "cell_type": "markdown", - "id": "6d958ed3", + "id": "6278ac53", "metadata": { "editable": true }, @@ -620,7 +620,7 @@ }, { "cell_type": "markdown", - "id": "6330f3f2", + "id": "3897e162", "metadata": { "editable": true }, @@ -630,7 +630,7 @@ }, { "cell_type": "markdown", - "id": "ed6a9f67", + "id": "6e3ff648", "metadata": { "editable": true }, @@ -642,7 +642,7 @@ }, { "cell_type": "markdown", - "id": "de42ab8a", + "id": "176c5f9e", "metadata": { "editable": true }, @@ -652,7 +652,7 @@ }, { "cell_type": "markdown", - "id": "4f36b126", + "id": "c5af703d", "metadata": { "editable": true }, @@ -664,7 +664,7 @@ }, { "cell_type": "markdown", - "id": "0a7eef00", + "id": "948dd53c", "metadata": { "editable": true }, @@ -674,7 +674,7 @@ }, { "cell_type": "markdown", - "id": "29940f94", + "id": "7ebb1faf", "metadata": { "editable": true }, @@ -688,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "f2204679", + "id": "91c5fa5e", "metadata": { "editable": true }, @@ -700,7 +700,7 @@ }, { "cell_type": "markdown", - "id": "d3f4597f", + "id": "e0a0244b", "metadata": { "editable": true }, @@ -710,7 +710,7 @@ }, { "cell_type": "markdown", - "id": "c9e9ca01", + "id": "7db46562", "metadata": { "editable": true }, @@ -722,7 +722,7 @@ }, { "cell_type": "markdown", - "id": "1c3062b6", + "id": "dfd3b2a2", "metadata": { "editable": true }, @@ -732,7 +732,7 @@ }, { "cell_type": "markdown", - "id": "b455f707", + "id": "0a8c059c", "metadata": { "editable": true }, @@ -744,7 +744,7 @@ }, { "cell_type": "markdown", - "id": "5ac8fdd3", + "id": "197c21a0", "metadata": { "editable": true }, @@ -754,7 +754,7 @@ }, { "cell_type": "markdown", - "id": "827927db", + "id": "f99f268e", "metadata": { "editable": true }, @@ -766,7 +766,7 @@ }, { "cell_type": "markdown", - "id": "0c740a13", + "id": "6a8b2738", "metadata": { "editable": true }, @@ -776,7 +776,7 @@ }, { "cell_type": "markdown", - "id": "a855fc3c", + "id": "3451f8f0", "metadata": { "editable": true }, @@ -792,7 +792,7 @@ }, { "cell_type": "markdown", - "id": "9dda8b9e", + "id": "2cceee67", "metadata": { "editable": true }, @@ -804,7 +804,7 @@ }, { "cell_type": "markdown", - "id": "d160205c", + "id": "35f4e8bb", "metadata": { "editable": true }, @@ -814,7 +814,7 @@ }, { "cell_type": "markdown", - "id": "1b7501a6", + "id": "21b8abf8", "metadata": { "editable": true }, @@ -826,7 +826,7 @@ }, { "cell_type": "markdown", - "id": "d75a8c65", + "id": "67804133", "metadata": { "editable": true }, @@ -839,7 +839,7 @@ }, { "cell_type": "markdown", - "id": "c9f718df", + "id": "475b65d6", "metadata": { "editable": true }, @@ -851,7 +851,7 @@ }, { "cell_type": "markdown", - "id": "b07b6425", + "id": "7e68e582", "metadata": { "editable": true }, @@ -861,7 +861,7 @@ }, { "cell_type": "markdown", - "id": "215a8730", + "id": "7798cead", "metadata": { "editable": true }, @@ -873,7 +873,7 @@ }, { "cell_type": "markdown", - "id": "7013d0f0", + "id": "06b5fc3f", "metadata": { "editable": true }, @@ -883,7 +883,7 @@ }, { "cell_type": "markdown", - "id": "d56b4ce0", + "id": "997f8e5d", "metadata": { "editable": true }, @@ -895,7 +895,7 @@ }, { "cell_type": "markdown", - "id": "f9c6b14d", + "id": "9fec2088", "metadata": { "editable": true }, @@ -907,7 +907,7 @@ }, { "cell_type": "markdown", - "id": "0bde16cb", + "id": "af56a994", "metadata": { "editable": true }, @@ -917,7 +917,7 @@ }, { "cell_type": "markdown", - "id": "0a2869fc", + "id": "d50d4218", "metadata": { "editable": true }, @@ -929,7 +929,7 @@ }, { "cell_type": "markdown", - "id": "75b83b9b", + "id": "edbfbb74", "metadata": { "editable": true }, @@ -941,19 +941,19 @@ }, { "cell_type": "markdown", - "id": "1e76d916", + "id": "684bbebb", "metadata": { "editable": true }, "source": [ "$$\n", - "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", + "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", "$$" ] }, { "cell_type": "markdown", - "id": "09dfe26d", + "id": "42ad509f", "metadata": { "editable": true }, @@ -963,19 +963,19 @@ }, { "cell_type": "markdown", - "id": "4037962f", + "id": "75efa6c7", "metadata": { "editable": true }, "source": [ "$$\n", - "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", + "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n", "$$" ] }, { "cell_type": "markdown", - "id": "39a85ba0", + "id": "b88067e5", "metadata": { "editable": true }, @@ -985,7 +985,7 @@ }, { "cell_type": "markdown", - "id": "b263a1fe", + "id": "2223ad59", "metadata": { "editable": true }, @@ -1004,7 +1004,7 @@ }, { "cell_type": "markdown", - "id": "41730165", + "id": "adf4f844", "metadata": { "editable": true }, @@ -1032,7 +1032,7 @@ }, { "cell_type": "markdown", - "id": "4076cee3", + "id": "eeacc972", "metadata": { "editable": true }, @@ -1058,7 +1058,7 @@ }, { "cell_type": "markdown", - "id": "11139cb3", + "id": "b162fc53", "metadata": { "editable": true }, @@ -1075,7 +1075,7 @@ }, { "cell_type": "markdown", - "id": "b2bead9b", + "id": "d70c98f7", "metadata": { "editable": true }, @@ -1095,7 +1095,7 @@ }, { "cell_type": "markdown", - "id": "8df8364e", + "id": "220b6410", "metadata": { "editable": true }, @@ -1124,7 +1124,7 @@ }, { "cell_type": "markdown", - "id": "6b5273f1", + "id": "68efa94d", "metadata": { "editable": true }, @@ -1149,7 +1149,7 @@ }, { "cell_type": "markdown", - "id": "a260b371", + "id": "0c144baa", "metadata": { "editable": true }, @@ -1169,7 +1169,7 @@ }, { "cell_type": "markdown", - "id": "2ff1e63c", + "id": "3dbef469", "metadata": { "editable": true }, @@ -1181,7 +1181,7 @@ }, { "cell_type": "markdown", - "id": "ab4b2e8c", + "id": "27061345", "metadata": { "editable": true }, @@ -1191,7 +1191,7 @@ }, { "cell_type": "markdown", - "id": "85b6fb62", + "id": "bc270a26", "metadata": { "editable": true }, @@ -1206,7 +1206,7 @@ }, { "cell_type": "markdown", - "id": "42449344", + "id": "4075e050", "metadata": { "editable": true }, @@ -1219,7 +1219,7 @@ }, { "cell_type": "markdown", - "id": "35e4f511", + "id": "19dd4b96", "metadata": { "editable": true }, @@ -1232,7 +1232,7 @@ }, { "cell_type": "markdown", - "id": "c787234f", + "id": "f0fa1bc0", "metadata": { "editable": true }, @@ -1244,7 +1244,7 @@ }, { "cell_type": "markdown", - "id": "183711dc", + "id": "8ea697af", "metadata": { "editable": true }, @@ -1257,7 +1257,7 @@ }, { "cell_type": "markdown", - "id": "2351078d", + "id": "6074b0df", "metadata": { "editable": true }, @@ -1268,7 +1268,7 @@ }, { "cell_type": "markdown", - "id": "408ba3b5", + "id": "17890a02", "metadata": { "editable": true }, @@ -1282,7 +1282,7 @@ }, { "cell_type": "markdown", - "id": "3ea79849", + "id": "86770121", "metadata": { "editable": true }, @@ -1292,7 +1292,7 @@ }, { "cell_type": "markdown", - "id": "69439aad", + "id": "7447aaee", "metadata": { "editable": true }, @@ -1306,7 +1306,7 @@ }, { "cell_type": "markdown", - "id": "e6c29fd8", + "id": "1a065454", "metadata": { "editable": true }, @@ -1319,7 +1319,7 @@ }, { "cell_type": "markdown", - "id": "4bb52549", + "id": "299e45c4", "metadata": { "editable": true }, @@ -1332,7 +1332,7 @@ }, { "cell_type": "markdown", - "id": "3430d548", + "id": "2e27eb1c", "metadata": { "editable": true }, @@ -1342,7 +1342,7 @@ }, { "cell_type": "markdown", - "id": "9ba636b3", + "id": "757e0395", "metadata": { "editable": true }, @@ -1355,7 +1355,7 @@ }, { "cell_type": "markdown", - "id": "cb19e98f", + "id": "821b4888", "metadata": { "editable": true }, @@ -1365,7 +1365,7 @@ }, { "cell_type": "markdown", - "id": "3cc840d7", + "id": "1f66e8c1", "metadata": { "editable": true }, @@ -1378,7 +1378,7 @@ }, { "cell_type": "markdown", - "id": "a5062213", + "id": "794b99f5", "metadata": { "editable": true }, @@ -1390,7 +1390,7 @@ }, { "cell_type": "markdown", - "id": "8d555244", + "id": "a7703593", "metadata": { "editable": true }, @@ -1409,7 +1409,7 @@ }, { "cell_type": "markdown", - "id": "c4356604", + "id": "4d4c2830", "metadata": { "editable": true }, @@ -1422,7 +1422,7 @@ }, { "cell_type": "markdown", - "id": "09dc08a1", + "id": "08f438fa", "metadata": { "editable": true }, @@ -1434,7 +1434,7 @@ }, { "cell_type": "markdown", - "id": "dab5056a", + "id": "30554920", "metadata": { "editable": true }, @@ -1447,7 +1447,7 @@ }, { "cell_type": "markdown", - "id": "8a1f8583", + "id": "eb2d0659", "metadata": { "editable": true }, @@ -1467,7 +1467,7 @@ }, { "cell_type": "markdown", - "id": "1be08ebb", + "id": "e3f406ba", "metadata": { "editable": true }, @@ -1490,7 +1490,7 @@ }, { "cell_type": "markdown", - "id": "2a368353", + "id": "04ed2dd4", "metadata": { "editable": true }, @@ -1505,7 +1505,7 @@ }, { "cell_type": "markdown", - "id": "6fee4a1a", + "id": "ca175052", "metadata": { "editable": true }, @@ -1517,7 +1517,7 @@ }, { "cell_type": "markdown", - "id": "1a97c9ef", + "id": "cae9e5af", "metadata": { "editable": true }, @@ -1537,7 +1537,7 @@ }, { "cell_type": "markdown", - "id": "0a70afb2", + "id": "5d65b07a", "metadata": { "editable": true }, @@ -1557,7 +1557,7 @@ }, { "cell_type": "markdown", - "id": "dc32eaea", + "id": "b1bf73fb", "metadata": { "editable": true }, @@ -1581,7 +1581,7 @@ }, { "cell_type": "markdown", - "id": "016d0ab3", + "id": "1f98ac66", "metadata": { "editable": true }, @@ -1602,7 +1602,7 @@ }, { "cell_type": "markdown", - "id": "3f371f0d", + "id": "cc88b1ee", "metadata": { "editable": true }, @@ -1632,7 +1632,7 @@ }, { "cell_type": "markdown", - "id": "abc56fe7", + "id": "8b721633", "metadata": { "editable": true }, @@ -1656,7 +1656,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "a3d2885b", + "id": "ad223832", "metadata": { "collapsed": false, "editable": true @@ -1695,7 +1695,7 @@ }, { "cell_type": "markdown", - "id": "5db67125", + "id": "17be41a1", "metadata": { "editable": true }, @@ -1705,7 +1705,7 @@ }, { "cell_type": "markdown", - "id": "6f1b5417", + "id": "69421d74", "metadata": { "editable": true }, @@ -1716,7 +1716,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "9d98136a", + "id": "2729405e", "metadata": { "collapsed": false, "editable": true @@ -1736,7 +1736,7 @@ }, { "cell_type": "markdown", - "id": "c87eac4e", + "id": "236a42a1", "metadata": { "editable": true }, @@ -1754,7 +1754,7 @@ }, { "cell_type": "markdown", - "id": "2f0f4313", + "id": "8fcdaadc", "metadata": { "editable": true }, @@ -1766,7 +1766,7 @@ }, { "cell_type": "markdown", - "id": "7895ee8b", + "id": "7cc9cdf4", "metadata": { "editable": true }, @@ -1783,7 +1783,7 @@ }, { "cell_type": "markdown", - "id": "be454b28", + "id": "b7b6f4ad", "metadata": { "editable": true }, @@ -1795,7 +1795,7 @@ }, { "cell_type": "markdown", - "id": "7475f8f9", + "id": "859ee059", "metadata": { "editable": true }, @@ -1805,7 +1805,7 @@ }, { "cell_type": "markdown", - "id": "fd472029", + "id": "459c3520", "metadata": { "editable": true }, @@ -1817,7 +1817,7 @@ }, { "cell_type": "markdown", - "id": "b43c8f67", + "id": "07d724d8", "metadata": { "editable": true }, @@ -1834,7 +1834,7 @@ }, { "cell_type": "markdown", - "id": "c47cfb6d", + "id": "ebe1aaa1", "metadata": { "editable": true }, @@ -1846,7 +1846,7 @@ }, { "cell_type": "markdown", - "id": "593188cd", + "id": "6827a56c", "metadata": { "editable": true }, @@ -1856,7 +1856,7 @@ }, { "cell_type": "markdown", - "id": "76de4d81", + "id": "1b5aabc1", "metadata": { "editable": true }, @@ -1868,7 +1868,7 @@ }, { "cell_type": "markdown", - "id": "afc38c97", + "id": "fd4da9e7", "metadata": { "editable": true }, @@ -1878,7 +1878,7 @@ }, { "cell_type": "markdown", - "id": "b0f2971c", + "id": 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Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","1. 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Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression","Week 36: Linear Regression and Statistical interpretations","Week 37: Statistical interpretations and Resampling 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\ No newline at end of file diff --git a/doc/LectureNotes/_build/html/week37.html b/doc/LectureNotes/_build/html/week37.html index cd478a242..2efb10b95 100644 --- a/doc/LectureNotes/_build/html/week37.html +++ b/doc/LectureNotes/_build/html/week37.html @@ -1249,12 +1249,12 @@ logarithm of the posterior probability and leaving out the constants terms that do not depend on \(\beta\), we have

\[ -C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1, \]

and replacing \(1/\tau\) with \(\lambda\) we have

\[ -C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, +C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1, \]

which is our Lasso cost function!

@@ -1618,7 +1618,7 @@ theorem.

Bootstrap Statistics :
 original           bias      std. error
- 99.7503  14.9999        99.7496        0.151068
+ 100.057  14.8058        100.061        0.148629
@@ -1853,7 +1853,9 @@ Error: 0.06844519414009445 Bias^2: 0.06453579006728324 Var: 0.003909404072811226 0.06844519414009445 >= 0.06453579006728324 + 0.003909404072811226 = 0.06844519414009446 -Polynomial degree: 5 + + +
Polynomial degree: 5
 Error: 0.05227921801205686
 Bias^2: 0.0481872773043029
 Var: 0.004091940707753939
@@ -1902,7 +1904,7 @@ Var: 0.20867052175034223
 0.22842468702219465 >= 0.01975416527185249 + 0.20867052175034223 = 0.2284246870221947
-_images/week37_139_2.png +_images/week37_139_3.png @@ -2298,12 +2300,12 @@ Mean squared error on test data: 1.07641937 Degree of polynomial: 12 Mean squared error on training data: 0.00805074 Mean squared error on test data: 0.04295757 - - -
Degree of polynomial:  13
+Degree of polynomial:  13
 Mean squared error on training data: 0.00781918
 Mean squared error on test data: 0.56965674
-Degree of polynomial:  14
+
+
+
Degree of polynomial:  14
 Mean squared error on training data: 0.00465099
 Mean squared error on test data: 0.28443039
 Degree of polynomial:  15
@@ -2351,19 +2353,19 @@ Mean squared error on test data: 1079.36895644
 Degree of polynomial:  27
 Mean squared error on training data: 0.00068091
 Mean squared error on test data: 3207.25343155
-
-
-
Degree of polynomial:  28
+Degree of polynomial:  28
 Mean squared error on training data: 0.00063362
 Mean squared error on test data: 674.79633065
-Degree of polynomial:  29
+
+
+
Degree of polynomial:  29
 Mean squared error on training data: 0.00063866
 Mean squared error on test data: 3099.60342978
-
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87621/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
+
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_88787/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
   plt.plot(polynomial, np.log10(trainingerror), label='Training Error')
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87621/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
+/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_88787/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
   plt.plot(polynomial, np.log10(testerror), label='Test Error')
 

 

@@ -2448,7 +2450,7 @@ Mean squared error on test data: 3099.60342978
-
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87621/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
+
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_88787/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
   plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')
 

 

diff --git a/doc/LectureNotes/_build/jupyter_execute/week37.ipynb b/doc/LectureNotes/_build/jupyter_execute/week37.ipynb
index e421a77b9..89b69c2aa 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week37.ipynb
+++ b/doc/LectureNotes/_build/jupyter_execute/week37.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "7c0ddab1",
+   "id": "1abc3180",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c033bf4",
+   "id": "c1daea13",
    "metadata": {
     "editable": true
    },
@@ -29,7 +29,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4cd5fa1",
+   "id": "44f3b13a",
    "metadata": {
     "editable": true
    },
@@ -59,7 +59,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf80a276",
+   "id": "9bfba57b",
    "metadata": {
     "editable": true
    },
@@ -81,7 +81,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e1f0a90",
+   "id": "bb5184fb",
    "metadata": {
     "editable": true
    },
@@ -91,7 +91,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1b290d64",
+   "id": "fe16ef77",
    "metadata": {
     "editable": true
    },
@@ -114,7 +114,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ceed3a82",
+   "id": "16407da5",
    "metadata": {
     "editable": true
    },
@@ -126,7 +126,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d7e8f98",
+   "id": "7259f755",
    "metadata": {
     "editable": true
    },
@@ -139,7 +139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "58722d7d",
+   "id": "8197a563",
    "metadata": {
     "editable": true
    },
@@ -151,7 +151,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45120edc",
+   "id": "55178ede",
    "metadata": {
     "editable": true
    },
@@ -163,7 +163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f3b680a",
+   "id": "8df6cfdc",
    "metadata": {
     "editable": true
    },
@@ -175,7 +175,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08489797",
+   "id": "725df6b0",
    "metadata": {
     "editable": true
    },
@@ -186,7 +186,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1c81f06",
+   "id": "32b0c74a",
    "metadata": {
     "editable": true
    },
@@ -198,7 +198,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4e092776",
+   "id": "40512d38",
    "metadata": {
     "editable": true
    },
@@ -209,7 +209,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79e5358a",
+   "id": "1867bac9",
    "metadata": {
     "editable": true
    },
@@ -221,7 +221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e5a4f865",
+   "id": "d5d17026",
    "metadata": {
     "editable": true
    },
@@ -231,7 +231,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10b81ba7",
+   "id": "70980886",
    "metadata": {
     "editable": true
    },
@@ -262,7 +262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3349cb27",
+   "id": "e2f951bb",
    "metadata": {
     "editable": true
    },
@@ -274,7 +274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0fd1502e",
+   "id": "85dbdab8",
    "metadata": {
     "editable": true
    },
@@ -286,7 +286,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43cba0e8",
+   "id": "bcfb3f71",
    "metadata": {
     "editable": true
    },
@@ -296,7 +296,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6f4e7dc",
+   "id": "e59b8708",
    "metadata": {
     "editable": true
    },
@@ -308,7 +308,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50c2d673",
+   "id": "80d942c3",
    "metadata": {
     "editable": true
    },
@@ -318,7 +318,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "30315a10",
+   "id": "45e5df6c",
    "metadata": {
     "editable": true
    },
@@ -330,7 +330,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd8cdf51",
+   "id": "0f759ec1",
    "metadata": {
     "editable": true
    },
@@ -340,7 +340,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7323296b",
+   "id": "18e4dc4b",
    "metadata": {
     "editable": true
    },
@@ -352,7 +352,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e21334ab",
+   "id": "b50c9cf8",
    "metadata": {
     "editable": true
    },
@@ -362,7 +362,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82974124",
+   "id": "9c043888",
    "metadata": {
     "editable": true
    },
@@ -382,7 +382,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e053e43c",
+   "id": "936f4f77",
    "metadata": {
     "editable": true
    },
@@ -394,7 +394,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94098e13",
+   "id": "306274ee",
    "metadata": {
     "editable": true
    },
@@ -404,7 +404,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27625b1f",
+   "id": "581c5f93",
    "metadata": {
     "editable": true
    },
@@ -416,7 +416,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f3cc8b4",
+   "id": "40a1da92",
    "metadata": {
     "editable": true
    },
@@ -428,7 +428,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7d5464d",
+   "id": "f030b59d",
    "metadata": {
     "editable": true
    },
@@ -440,7 +440,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c292afee",
+   "id": "1f7cab98",
    "metadata": {
     "editable": true
    },
@@ -452,7 +452,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cdbbd444",
+   "id": "e1446472",
    "metadata": {
     "editable": true
    },
@@ -464,7 +464,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "100a8014",
+   "id": "92ddfccf",
    "metadata": {
     "editable": true
    },
@@ -476,7 +476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2e40c4d",
+   "id": "e91caeaf",
    "metadata": {
     "editable": true
    },
@@ -488,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e48456e",
+   "id": "5c78d187",
    "metadata": {
     "editable": true
    },
@@ -500,7 +500,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38ced5b6",
+   "id": "ed3da21c",
    "metadata": {
     "editable": true
    },
@@ -510,7 +510,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1163c07b",
+   "id": "3e1b1c5b",
    "metadata": {
     "editable": true
    },
@@ -522,7 +522,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "becc087f",
+   "id": "e78923b1",
    "metadata": {
     "editable": true
    },
@@ -532,7 +532,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ca2b09d",
+   "id": "e1b17e7e",
    "metadata": {
     "editable": true
    },
@@ -551,7 +551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6572c77d",
+   "id": "77ece18e",
    "metadata": {
     "editable": true
    },
@@ -572,7 +572,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a3f65e5",
+   "id": "d327d5a7",
    "metadata": {
     "editable": true
    },
@@ -584,7 +584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d264f77",
+   "id": "7102a93d",
    "metadata": {
     "editable": true
    },
@@ -595,7 +595,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06b8a13c",
+   "id": "27bfcb69",
    "metadata": {
     "editable": true
    },
@@ -608,7 +608,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d958ed3",
+   "id": "6278ac53",
    "metadata": {
     "editable": true
    },
@@ -620,7 +620,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6330f3f2",
+   "id": "3897e162",
    "metadata": {
     "editable": true
    },
@@ -630,7 +630,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed6a9f67",
+   "id": "6e3ff648",
    "metadata": {
     "editable": true
    },
@@ -642,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de42ab8a",
+   "id": "176c5f9e",
    "metadata": {
     "editable": true
    },
@@ -652,7 +652,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f36b126",
+   "id": "c5af703d",
    "metadata": {
     "editable": true
    },
@@ -664,7 +664,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a7eef00",
+   "id": "948dd53c",
    "metadata": {
     "editable": true
    },
@@ -674,7 +674,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29940f94",
+   "id": "7ebb1faf",
    "metadata": {
     "editable": true
    },
@@ -688,7 +688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2204679",
+   "id": "91c5fa5e",
    "metadata": {
     "editable": true
    },
@@ -700,7 +700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d3f4597f",
+   "id": "e0a0244b",
    "metadata": {
     "editable": true
    },
@@ -710,7 +710,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9e9ca01",
+   "id": "7db46562",
    "metadata": {
     "editable": true
    },
@@ -722,7 +722,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c3062b6",
+   "id": "dfd3b2a2",
    "metadata": {
     "editable": true
    },
@@ -732,7 +732,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b455f707",
+   "id": "0a8c059c",
    "metadata": {
     "editable": true
    },
@@ -744,7 +744,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ac8fdd3",
+   "id": "197c21a0",
    "metadata": {
     "editable": true
    },
@@ -754,7 +754,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "827927db",
+   "id": "f99f268e",
    "metadata": {
     "editable": true
    },
@@ -766,7 +766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c740a13",
+   "id": "6a8b2738",
    "metadata": {
     "editable": true
    },
@@ -776,7 +776,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a855fc3c",
+   "id": "3451f8f0",
    "metadata": {
     "editable": true
    },
@@ -792,7 +792,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9dda8b9e",
+   "id": "2cceee67",
    "metadata": {
     "editable": true
    },
@@ -804,7 +804,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d160205c",
+   "id": "35f4e8bb",
    "metadata": {
     "editable": true
    },
@@ -814,7 +814,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1b7501a6",
+   "id": "21b8abf8",
    "metadata": {
     "editable": true
    },
@@ -826,7 +826,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d75a8c65",
+   "id": "67804133",
    "metadata": {
     "editable": true
    },
@@ -839,7 +839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9f718df",
+   "id": "475b65d6",
    "metadata": {
     "editable": true
    },
@@ -851,7 +851,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b07b6425",
+   "id": "7e68e582",
    "metadata": {
     "editable": true
    },
@@ -861,7 +861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "215a8730",
+   "id": "7798cead",
    "metadata": {
     "editable": true
    },
@@ -873,7 +873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7013d0f0",
+   "id": "06b5fc3f",
    "metadata": {
     "editable": true
    },
@@ -883,7 +883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d56b4ce0",
+   "id": "997f8e5d",
    "metadata": {
     "editable": true
    },
@@ -895,7 +895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9c6b14d",
+   "id": "9fec2088",
    "metadata": {
     "editable": true
    },
@@ -907,7 +907,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0bde16cb",
+   "id": "af56a994",
    "metadata": {
     "editable": true
    },
@@ -917,7 +917,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a2869fc",
+   "id": "d50d4218",
    "metadata": {
     "editable": true
    },
@@ -929,7 +929,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "75b83b9b",
+   "id": "edbfbb74",
    "metadata": {
     "editable": true
    },
@@ -941,19 +941,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e76d916",
+   "id": "684bbebb",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
+    "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "09dfe26d",
+   "id": "42ad509f",
    "metadata": {
     "editable": true
    },
@@ -963,19 +963,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4037962f",
+   "id": "75efa6c7",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
+    "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "39a85ba0",
+   "id": "b88067e5",
    "metadata": {
     "editable": true
    },
@@ -985,7 +985,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b263a1fe",
+   "id": "2223ad59",
    "metadata": {
     "editable": true
    },
@@ -1004,7 +1004,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41730165",
+   "id": "adf4f844",
    "metadata": {
     "editable": true
    },
@@ -1032,7 +1032,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4076cee3",
+   "id": "eeacc972",
    "metadata": {
     "editable": true
    },
@@ -1058,7 +1058,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "11139cb3",
+   "id": "b162fc53",
    "metadata": {
     "editable": true
    },
@@ -1075,7 +1075,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2bead9b",
+   "id": "d70c98f7",
    "metadata": {
     "editable": true
    },
@@ -1095,7 +1095,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8df8364e",
+   "id": "220b6410",
    "metadata": {
     "editable": true
    },
@@ -1124,7 +1124,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6b5273f1",
+   "id": "68efa94d",
    "metadata": {
     "editable": true
    },
@@ -1149,7 +1149,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a260b371",
+   "id": "0c144baa",
    "metadata": {
     "editable": true
    },
@@ -1169,7 +1169,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ff1e63c",
+   "id": "3dbef469",
    "metadata": {
     "editable": true
    },
@@ -1181,7 +1181,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ab4b2e8c",
+   "id": "27061345",
    "metadata": {
     "editable": true
    },
@@ -1191,7 +1191,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85b6fb62",
+   "id": "bc270a26",
    "metadata": {
     "editable": true
    },
@@ -1206,7 +1206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "42449344",
+   "id": "4075e050",
    "metadata": {
     "editable": true
    },
@@ -1219,7 +1219,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35e4f511",
+   "id": "19dd4b96",
    "metadata": {
     "editable": true
    },
@@ -1232,7 +1232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c787234f",
+   "id": "f0fa1bc0",
    "metadata": {
     "editable": true
    },
@@ -1244,7 +1244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "183711dc",
+   "id": "8ea697af",
    "metadata": {
     "editable": true
    },
@@ -1257,7 +1257,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2351078d",
+   "id": "6074b0df",
    "metadata": {
     "editable": true
    },
@@ -1268,7 +1268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "408ba3b5",
+   "id": "17890a02",
    "metadata": {
     "editable": true
    },
@@ -1282,7 +1282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ea79849",
+   "id": "86770121",
    "metadata": {
     "editable": true
    },
@@ -1292,7 +1292,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69439aad",
+   "id": "7447aaee",
    "metadata": {
     "editable": true
    },
@@ -1306,7 +1306,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e6c29fd8",
+   "id": "1a065454",
    "metadata": {
     "editable": true
    },
@@ -1319,7 +1319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bb52549",
+   "id": "299e45c4",
    "metadata": {
     "editable": true
    },
@@ -1332,7 +1332,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3430d548",
+   "id": "2e27eb1c",
    "metadata": {
     "editable": true
    },
@@ -1342,7 +1342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ba636b3",
+   "id": "757e0395",
    "metadata": {
     "editable": true
    },
@@ -1355,7 +1355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cb19e98f",
+   "id": "821b4888",
    "metadata": {
     "editable": true
    },
@@ -1365,7 +1365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cc840d7",
+   "id": "1f66e8c1",
    "metadata": {
     "editable": true
    },
@@ -1378,7 +1378,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a5062213",
+   "id": "794b99f5",
    "metadata": {
     "editable": true
    },
@@ -1390,7 +1390,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d555244",
+   "id": "a7703593",
    "metadata": {
     "editable": true
    },
@@ -1409,7 +1409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4356604",
+   "id": "4d4c2830",
    "metadata": {
     "editable": true
    },
@@ -1422,7 +1422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "09dc08a1",
+   "id": "08f438fa",
    "metadata": {
     "editable": true
    },
@@ -1434,7 +1434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dab5056a",
+   "id": "30554920",
    "metadata": {
     "editable": true
    },
@@ -1447,7 +1447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a1f8583",
+   "id": "eb2d0659",
    "metadata": {
     "editable": true
    },
@@ -1467,7 +1467,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1be08ebb",
+   "id": "e3f406ba",
    "metadata": {
     "editable": true
    },
@@ -1490,7 +1490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a368353",
+   "id": "04ed2dd4",
    "metadata": {
     "editable": true
    },
@@ -1505,7 +1505,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6fee4a1a",
+   "id": "ca175052",
    "metadata": {
     "editable": true
    },
@@ -1517,7 +1517,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a97c9ef",
+   "id": "cae9e5af",
    "metadata": {
     "editable": true
    },
@@ -1537,7 +1537,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a70afb2",
+   "id": "5d65b07a",
    "metadata": {
     "editable": true
    },
@@ -1557,7 +1557,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dc32eaea",
+   "id": "b1bf73fb",
    "metadata": {
     "editable": true
    },
@@ -1581,7 +1581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "016d0ab3",
+   "id": "1f98ac66",
    "metadata": {
     "editable": true
    },
@@ -1602,7 +1602,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f371f0d",
+   "id": "cc88b1ee",
    "metadata": {
     "editable": true
    },
@@ -1632,7 +1632,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "abc56fe7",
+   "id": "8b721633",
    "metadata": {
     "editable": true
    },
@@ -1656,7 +1656,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "a3d2885b",
+   "id": "ad223832",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1668,7 +1668,7 @@
      "text": [
       "Bootstrap Statistics :\n",
       "original           bias      std. error\n",
-      " 99.7503  14.9999        99.7496        0.151068\n"
+      " 100.057  14.8058        100.061        0.148629\n"
      ]
     }
    ],
@@ -1705,7 +1705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5db67125",
+   "id": "17be41a1",
    "metadata": {
     "editable": true
    },
@@ -1715,7 +1715,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6f1b5417",
+   "id": "69421d74",
    "metadata": {
     "editable": true
    },
@@ -1726,7 +1726,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "9d98136a",
+   "id": "2729405e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1734,7 +1734,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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uZUV0LxY5RGTStmV1RBeX03BT5YuOYrLslBoM8TiI9RkPH4ZPZGlY5BCRySootcOenBBeqqqGYZ578UdhA5w9KzoJkelgkUNEJmtPTgjulNlikDuLnEfp7XocDlZF2L5ddBIi08Eih4hM1rbMjmjmcBVNHFJFRzF5dkoNeruewI4dopMQmQ4WOURkksokRfksx1Q9A9wP4+BBICdHdBIi08Aih4hM0tG8ZsjQuHGWYx30dzuM0lIgKkp0EiLTwCKHiEzStqxOcLfORUeXP0RHMRv17TLRujV4yYrobyxyiMgkbc3qhAHuh6FUlImOYlYGDAB27QJKS0UnIRKPRQ4RmZwrRT44U9CIQ8drYMAAICsLOHpUdBIi8VjkEJHJ2ZbVCTYKNcJdj4mOYnbatwfc3cGh5ERgkUNEJmhrZieE1U2Ek3WR6ChmR6kE+vXjfTlEAIscIjIxuSWOiMttzUtVtTBgAHDyJHDtmugkRGKxyCEik7I7+0mUSNYYyPlxaqxvX8DKCti5U3QSIrFY5BCRSdma2Qlt6lxAgF2G6Chmy80N6NSJl6yIWOQQkcnQlCmxM7s9BnOtqlobMADYswe4c0d0EiJxWOQQkck4kBuEWyVOXJBTDwYMAAoLgbg40UmIxGGRQ0QmY2tWZ/jZ3ERbpwuio5i9oCDA35+XrMiyscghIpMgSdr7cQa6H4aVQhIdx+wpFNrenB07tG1LZImEFjlz585Fu3bt4OTkBC8vLwwdOhRJSUmP3C8uLg4hISGws7NDo0aNsHjxYiOkJSJDOl8YgEt36nHoeG2FhZU/BuyficuXgaT2L1bYTmQphBY5cXFxmDhxIg4fPoyYmBiUlJQgPDwcBQUFD9znypUr6N+/P7p27YqEhAT83//9H6ZMmYINGzYYMTkR6dvWrE5wsCpCz7onREeRjZ6uCbCzKsaO7A6ioxAJYS3yw3fv3l3h+bJly+Dl5YXjx4+jW7duVe6zePFiBAQEYP78+QCA5s2bIz4+HvPmzcMzzzxT6f3FxcUoLi4uf56XlwcA0Gg00Gg0ejoTlB/z3v/Sw7G9dCP39tqS3QW93BNgbQ9oYFPr42lUqgr/tUQqSOjhdhLbszthSuMt/7xQxXdI7t8vfWN76UYf7VWTfRWSZDpXay9evIgmTZrg9OnTCAoKqvI93bp1Q3BwMP73v/+Vb9u0aROGDRuGwsJCqO77gTZ79mx8+OGHlY6zevVqODg46PcEiKhGcnNt8NJL/TBxYiJ6904WHUdWdu5siKVLg7BixS44OpaIjkNUY4WFhRg5ciRyc3Ph7OxcrX2E9uTcS5IkREZGokuXLg8scAAgPT0d3t7eFbZ5e3ujpKQEmZmZ8PX1rfDazJkzERkZWf48Ly8P/v7+CA8Pr3YjVZdGo0FMTAz69OlTqdiiytheupFze61cqYAkKfDO6U/h/ectvRxTo1IhZtw49FmyBCoL/m27RZE3vitdAav/nEB/n/3ajVWs3inn75chsL10o4/2unslRhcmU+RMmjQJp06dwv79+x/5XoVCUeH53c6o+7cDgK2tLWxtbSttV6lUBvtiGvLYcsT20o0c22vPHiCkThLqKzIAtX6PrdJooFLr+aBmpIkyBS0driAqIxQj3H7TbnzI90eO3y9DYnvppjbtVZP9TGII+eTJk7F161bs3bsX9evXf+h7fXx8kJ6eXmFbRkYGrK2t4e7ubsiYRGQApaVAdDTQ1+2Y6CiyNcD9MHZmtUeZVPkXQSI5E1rkSJKESZMmYePGjfjtt9/QsGHDR+7TsWNHxMTEVNgWHR2N0NBQVtNEZujECSAri0WOIQ1wP4wMjRuO5z8uOgqRUQktciZOnIhVq1Zh9erVcHJyQnp6OtLT01FUVFT+npkzZ+LFF18sfz5+/HhcvXoVkZGROHfuHH744QcsXboU06ZNE3EKRFRLUVGAkxPQ0fms6Ciy1cn5DOpa52NHFoeSk2URWuQsWrQIubm56NGjB3x9fcsf69atK39PWloakpP/GW3RsGFD7Ny5E7GxsWjTpg0+/vhjfPXVV1UOHyci0xcVBfTqBaisSkVHkS1rqzL0dT3G+XLI4gi98bg6o9eXL19eaVv37t1x4gQnDCMyd7m5wKFDwDffAFgrOo28DXA/jBfP/x/Si13hIzoMkZGYxI3HRGSZfv1Ve+Nx376ik8hfP7ejUKAMu7Lbi45CZDQscohImKgo4PHHgQYNRCeRP0+bXLR3Psf7csiisMghIiEkCdi9G+jXT3QSyzHA7TCic0JhwdMGkYVhkUNEQiQlAcnJvFRlTAPcDyO/1BEHDohOQmQcLHKISIjduwEbG6B7d9FJLEfrOpfgpcpGVJToJETGwSKHiISIigK6dQMcHUUnsRxWCgnhbvGIjhadhMg4WOQQkdEVFQFxcbxUJUK4azwSEoCMDNFJiAyPRQ4RGd3vv2sLHd50bHx9XOMBAPetjkMkSyxyiMjooqKAevWAli1FJ7E8PrY5aN0avGRFFoFFDhEZXVQUEB4OKLgothB9+2qLnGpMOk9k1oQu60BEFiIsrPyPKXc8cfbsenwgfQiExYrLZMHCw4HPPgNOnwZatRKdhshw2JNDREYVndMOVihFb9fjoqNYrC5dAHt7cCg5yR6LHCIyqqjsdmjnlAQ3Vb7oKBbL1hbo0YP35ZD8scghIqMpKbNCTE4I+rkdFR3F4oWHa0e5FRaKTkJkOCxyiMhojuU3w60SJ/R1OyY6isXr2xcoLgb27ROdhMhwWOQQkdHszn4SrtZ5aOd0XnQUi9esGVC/Pi9ZkbyxyCEio4nKboferidgbVUmOorFUyi0vTm8+ZjkjEUOERlFlsYZx/Kb8lKVCQkPB/74A7h2TXQSIsNgkUNERrEnJwRlUKKvK286NhW9e2t7dLjEA8kVixwiMoqo7HZo6XAF9e0yRUehv7m5Ae3a8ZIVyReLHCIyOEkCorJDeanKBPXtq+3JKS0VnYRI/1jkEJHBnSloiOtqT86PY4LCw4HsbCAhgQuJkfywyCEig4vKbgd7qzvo6nJKdBS6T/v2gJMTEBPDIofkh0UOERlcVE479KibCDulRnQUuo9KBfTqxSKH5ImrkBORQRUUAPtutcJnjb8THYXuumdVeAAITx2MKRcno3CCNTBwIKBWA3v3CgpHpD/sySEig4qLA9SSDYeOm7C+bsdQIlnjzBkP0VGI9IpFDhEZVHQ0EGCbjqYOKaKj0AM0sk9DY/vrSEjwEh2FSK9Y5BCRQUVHA+Fu8VDwlg+T1scjHomJnqJjEOkVixwiMphr14Bz54Bw13jRUegRerufQFpaHVwu9BEdhUhvWOQQkcHExGiXDejpmiA6Cj1CD7eTUCrLsCcrRHQUIr2pUZGzfPlyFBYW6jsLEclMdDQQGgq4q/JER6FHcLYuRNOm2YjJais6CpHe1KjImTlzJnx8fDBmzBgcPHhQ35mISAbKyoA9e7Qz6pJ5CA6+ib3ZwdCUKUVHIdKLGhU5165dw6pVq5CTk4OwsDA0a9YM//nPf5Cenq7vfERkphITgcxMFjnmpE2bDOSVOOJofnPRUYj0okZFjlKpxODBg7Fx40akpKTg1VdfxU8//YSAgAAMHjwYW7ZsQVlZmb6zEpEZiY4GHB2BDh1EJ6HqatToFtxUeYjKbic6CpFe1PrGYy8vL3Tu3BkdO3aElZUVTp8+jZdeegmNGzdGbGysHiISkTmKjtZOrGtjIzoJVZdSCfRyP4Ho7FDRUYj0osZFzo0bNzBv3jy0bNkSPXr0QF5eHrZv344rV67g+vXrePrppzF69Gh9ZiUiM1FQAOzfz0tV5qiP+3Ecy2+K7GzRSYhqr0ZFzqBBg+Dv74/ly5dj3LhxSE1NxZo1a9C7d28AgL29Pd566y2kpHCGUyJLtG8foNGwyDFHvd1PoAxK7NkjOglR7dVogU4vLy/ExcWhY8eOD3yPr68vrly5UuNgRGS+oqMBf3/g8cdFJyFd1bfLRAuHvxAT0wDDholOQ1Q7NerJ6d69O9q2rTyXglqtxooVKwAACoUCgYGBtUtHRGYpOlrbi8OlHMxTuNsxREcDkiQ6CVHt1KjIefnll5Gbm1tpe35+Pl5++eVahyIi83XtGvDHH7xUZc7CXeORnAz8+afoJES1U6MiR5IkKKr4Fe3atWtwcXGpdSgiMl93l3Lo1Ut0EqqpbnVPwcZG2yNHZM50uicnODgYCoUCCoUCvXr1grX1P7uXlpbiypUr6Nevn95DEpH5iIkBQkIAd3fRSaimHJV30KWLtsiZPFl0GqKa06nIGTp0KAAgMTERffv2RZ06dcpfs7GxQYMGDfDMM8/oNSARmY+yMm2R8+qropNQbYWHAx9/DKjVnOuIzJdORc6sWbMAAA0aNMDw4cNhZ2dnkFBEZJ64lIN8hIcDM2YAhw4B3buLTkNUMzUaQs5J/oioXFhY+R+jrz4HR6sX0PGDwYBVicBQVFutWwOentpLVixyyFxV+8ZjNzc3ZGZmAgBcXV3h5ub2wAcRWaaYnFD0qJsIGxY4Zs/KCujThzcfk3mrdk/Of//7Xzg5OZX/uarRVURkuQpK7bA/NwifN/5WdBTSk/BwYM0a7SVIDw/RaYh0V+0i595LVC+99JIhshCRGdt3qxXUkg3CXY+JjkJ60qePdkLAX38Fhg8XnYZId9UucvLy8qp9UGdn5xqFISLzFZ0Tivq2GWjqwDXr5MLPDwgK0l6yYpFD5qjaRU7dunUfeYnq7iSBpaWltQ5GROYlJjsU4a7xXMpBZvr0AX7+Wdujw/+3ZG6qXeTs3bvXkDmIyIylFnvgbGFDvN9gpegopGfh4cB//wucPw80by46DZFuql3kdOcYQiJ6gJjsEChQhl51j4uOQvry99QA3UptYaPYiujB36F5/Q0V38NffsnEVbvIOXXqFIKCgmBlZYVTp0499L2tWrWqdTAiMh/ROe3Qts4FeNhU/949Mg8OymJ0dTmN6OxQvHF/kUNk4qo9T06bNm3K58lp06YNgoOD0aZNm0qP4ODgan/4vn37MGjQIPj5+UGhUGDz5s0PfX9sbGz52ln3Ps6fP1/tzyQi/SqTFNiT0xbhbvGio5CBhLvFI/ZWaxSXqURHIdJJtXtyrly5Ak9Pz/I/60NBQQFat26Nl19+Wac1r5KSkiqM4Lqbi4iM7+TtxripceXQcRkLdz2Gdy6/hoO5LRHmmig6DlG1VbvICQwMrPLPtREREYGIiAid9/Py8kLdunWr9d7i4mIUFxeXP787FF6j0UCj0ej82Q9z93j6Pq5csb10Y6rttSuvAxyVRQj1vAiNlems5KhRqSr8lx7uYe3V3O0avGxysCuvPbp4/3HPTqb1XTQmU/37aKr00V412VchSZJUkw9LSkrCggULcO7cOSgUCjRr1gyTJ09G06ZNa3I4KBQKbNq0qXyl86rExsYiLCwMDRo0wJ07d9CiRQu89957CLtn7Zz7zZ49Gx9++GGl7atXr4aDg0ONshLRP95/vxNsbErx/vtHREchA/rvf9siJcUJX34ZJzoKWajCwkKMHDkSubm51Z6Pr0ZFzi+//ILnnnsOoaGh6NixIwDg8OHDOHbsGFavXo1nn31W10NWq8hJSkrCvn37EBISguLiYqxcuRKLFy9GbGwsunXrVuU+VfXk+Pv7IzMzU++TFmo0GsTExKBPnz5Q8bfHR2J76cYU26uwEPBylTD38aWYHLhZdJwKNCoVYsaNQ58lS6Dib9uP9Kj2Wnm9N8aceRupPYbB0yZXu3H7diOnNB2m+PfRlOmjvfLy8uDh4aFTkVOjVcinT5+OmTNn4qOPPqqwfdasWXjnnXdqVORUR9OmTSv0FHXs2BEpKSmYN2/eA4scW1tb2NraVtquUqkM9sU05LHliO2lG1Nqr0OHALUERDgfhkqtFh2nSiqNxmSzmaIHtVeE02EAQNyNJ/Cc929/v9k0vocimdLfR3NQm/aqyX7VHl11r/T0dLz44ouVto8aNQrp6ek1OWSNdejQARcuXDDqZxKRVlQUUN82A80ckkVHIQPztc3GE46XEJ0TKjoKUbXVqMjp0aMHfv/990rb9+/fj65du9Y6lC4SEhLg6+tr1M8kIq3du4F+bkc53b+FCHeNR3R2KGp2JyeR8VX7ctXWrVvL/zx48GC88847OH78ODp06ABAe0/Ozz//XOVNvg9y+/ZtXLx4sfz5lStXkJiYCDc3NwQEBGDmzJlITU3FihUrAADz589HgwYN0LJlS6jVaqxatQobNmzAhg2coIrI2K5e1U71/++WHDpuKcLd4vHFteH4o7ABWjr+JToO0SNVu8ip6obghQsXYuHChRW2TZw4EePHj6/WMePj4yuMjIqMjAQAjB49GsuXL0daWhqSk//pBler1Zg2bRpSU1Nhb2+Pli1bYseOHejfv391T4OI9CQqClAqwaUcLEhXl1OwVagRnR3KIofMQrWLnLKyMr1/eI8ePfCwwV3Lly+v8Hz69OmYPn263nMQke527wY6dADqqgpERyEjsVeq0a3uSUTnhOJN/19ExyF6pBrdk0NElk2jAfbsAfr1E52EjC3cNR5xt1rjTilHFJHpq9EQckC7JENcXBySk5Ohvm+44ZQpU2odjIhM1+HDQH7+30XOr6LTkDGFu8Xj7cuv40DeE+glOgzRI9SoyElISED//v1RWFiIgoICuLm5ITMzEw4ODvDy8mKRQyRzu3cDHh5A27aik5CxPeF4Gd6qbERnh7LIIZNXo8tVb775JgYNGoTs7GzY29vj8OHDuHr1KkJCQjBv3jx9ZyQiE7N7NxAeDljxgrfFUSi0vTmcL4fMQY16chITE/Htt99CqVRCqVSiuLgYjRo1wmeffYbRo0fj6aef1ndOIhKhinXhMtR1ceLEJkwtnAOExQgIRaKFux7DyhvhuHED8PYWnYbowWr0e5hKpYLi79m/vL29y4d5u7i4VBjyTUTyE52t/Q0+3C1ecBISpY+bdtqA6GjBQYgeoUZFTnBwMOLjtT/gwsLC8MEHH+Cnn37C1KlT8cQTT+g1IBGZlt3ZTyK4zp/wtskRHYUE8bbJQXCdP7Frl+gkRA9XoyJnzpw55UspfPzxx3B3d8frr7+OjIwMfPfdd3oNSESmo0xSICqnHfq5cZZjSxfhdhRRUUBpqegkRA9Wo3tyQkP/ueHM09MTO3fu1FsgIjJdCbebIFNTF31Z5Fi8CLcjmJM8CseOaSeFJDJFNZ4nBwAyMjKQlJQEhUKBpk2bwtPTU1+5iMgE7c5uBydlATo6nxUdhQTr4PwH6tYFdu1ikUOmq0aXq/Ly8vDCCy+gXr166N69O7p16wY/Pz+MGjUKubm5+s5IRCZid/aT6OV6AjZWJaKjkGDWVmXo0we8L4dMWo2KnLFjx+LIkSPYvn07bt26hdzcXGzfvh3x8fEYN26cvjMSkQnILXHEodyW6OvKS1WkFREBxMcDN2+KTkJUtRpdrtqxYweioqLQpUuX8m19+/bFkiVL0I+L2RDJ0q85bVEKJe/HoXL9+gGSpF2RftQo0WmIKqtRT467uztcXFwqbXdxcYGrq2utQxGR6dmd/SSa2iejoX266ChkInx9gTZteMmKTFeNipz33nsPkZGRSEtLK9+Wnp6Ot99+G++//77ewhGRaZAkICo7lL04VElEBDiUnExWtS9XBQcHl89yDAAXLlxAYGAgAgICAADJycmwtbXFzZs38dprr+k/KREJc74wAMnFPujndlR0FDIxERHA3Lnae3Patxedhqiiahc5Q4cONWAMIjJlu7OfhK1Cje51T4qOQiamY0fAxUV7yYpFDpmaahc5s2bNMmQOIjJhUdnt0K3uSTgoi0VHIRNjbY3yoeSzZ4tOQ1RRrSYDPH78OM6dOweFQoEWLVogODhYX7mIyEQUldogLrc1Pmm4VHQUMlH9+wNjxmiHknNOWDIlNSpyMjIyMGLECMTGxqJu3bqQJAm5ubkICwvD2rVrOfMxkYzE3WqNO2W2vB+HHujuUPLoaOD550WnIfpHjUZXTZ48GXl5eTh79iyys7ORk5ODM2fOIC8vD1OmTNF3RiISKCqnHerbZqC5w1XRUchEcSg5maoa9eTs3r0be/bsQfPmzcu3tWjRAt988w3Cw8P1Fo6IxNud/ST6uR3FPYMriSqJiACWLAHKygCrGv36TKR/NfoqlpWVQaVSVdquUqlQVlZW61BEZBqu3vHG+cJA9OP8OPQIERFAZqZ2KDmRqahRkdOzZ0+88cYbuH79evm21NRUvPnmm+jVq5fewhGRWFHZ7aBEKXrVPS46Cpm4e4eSE5mKGhU5X3/9NfLz89GgQQM0btwYjz32GBo2bIj8/HwsWLBA3xmJSJDd2e3QwfkP1FUViI5CJu7eoeREpqJG9+T4+/vjxIkTiImJwfnz5yFJElq0aIHevXvrOx8RCaLRAHtyQjDdf63oKGQmIiKAsWO1l608PESnIapBkVNSUgI7OzskJiaiT58+6NOnjyFyEZFghw8D+aWOXK+Kqu3eoeQjR4pOQ1SDy1XW1tYIDAxEKVdjI5K17dsBT1UO2jpdEB2FzISfH9C6NS9Zkemo8SrkM2fORHZ2tr7zEJGJ2LYNGOB+GEoFR0xS9d1dlZwDbckU1OienK+++goXL16En58fAgMD4ejoWOH1EydO6CUcEYlx6RJw7hzw75aHREchMxMRAXz6KXD8ONCuneg0ZOlqVOQMHToUCoUCkiTpOw8RmYBt2wAbGyDclffjkG46dgScnbWXrFjkkGg6FTmFhYV4++23sXnzZmg0GvTq1QsLFiyAB2+jJ5KVbduAsDCgTvEd0VHIlIWFVdqkAtDHZjZ2feGBD/ZOAvbuNX4uor/pdE/OrFmzsHz5cgwYMADPPfcc9uzZg9dff91Q2YhIgNxcYN8+YNAg0UnIXEW4H8WRvObI0jiLjkIWTqeenI0bN2Lp0qUYMWIEAOD5559H586dUVpaCqVSaZCARGRcu3cDJSXAwIEAfhGdhsxRP7ejkGCF6OxQPCc6DFk0nXpyUlJS0LVr1/LnTz75JKytrSss70BE5m3bNqBVKyAwUHQSMlf1bDPRyvESdmW3Fx2FLJxORU5paSlsbGwqbLO2tkZJSYleQxGRGCUlwM6dvFRFtRfhdgS7s9txKDkJpdPlKkmS8NJLL8HW1rZ82507dzB+/PgKw8g3btyov4REZDQHDwI5OSxyqPYi3I/iPykjceIEEBoqOg1ZKp2KnNGjR1faNmrUKL2FISKxtm0DvL059Jdqr5PzGdS1zsfWrU4sckgYnYqcZcuWGSoHEZmAbduAAQMAqxrNhU70D5VVKQa4HcaWLX3w0Uei05Cl4o8yIgIAXLgAJCXxUhXpzxCPAzh1CrhyRXQSslQscogIgLYXx9YW6NNHdBKSi35uR2FjA2zZIjoJWSoWOUQEQFvk9OwJ3LcUHVGNOVkXoVcvFjkkDoscIkJODvD777xURfo3dKh2Bu2sLNFJyBKxyCEi7N4NlJb+PcsxkR4NGgSUlQE7dohOQpaIRQ4RYds2oE0bwN9fdBKSG19foEMHYPNm0UnIErHIIbJwGg2waxcvVZHhDBkCREUBRUWik5ClYZFDZOEOHABu3WKRQ4YzZAhQWAjs2SM6CVkaFjlEFm7bNsDHBwgJEZ2E5KpZM+DxxznKioxPpxmPiUhGwsIAANuOrMDAuidh1esLwYFIrhQKbW/Ojz9qb3BXKkUnIkvBnhwiC5ZU6I8LRf4Y5H5IdBSSuaFDgYwM4PBh0UnIkrDIIbJg2zI7ws6qGL1dj4uOQjLXvj3g5cVLVmRcLHKILNi2rE7oVfcEHJTFoqOQzCmVwODB2qHkkiQ6DVkKoUXOvn37MGjQIPj5+UGhUGBzNSZSiIuLQ0hICOzs7NCoUSMsXrzY8EGJZChb44QDuUEY5MFLVWQcQ4ZoF4I9f150ErIUQoucgoICtG7dGl9//XW13n/lyhX0798fXbt2RUJCAv7v//4PU6ZMwYYNGwyclEh+dmW3RymUGMj7cchIevXSro3GiQHJWISOroqIiEBERES137948WIEBARg/vz5AIDmzZsjPj4e8+bNwzPPPGOglETytC2zI9rW+RP1bDNFRyELYW8P9O2rvS9n5kzRacgSmNUQ8kOHDiE8PLzCtr59+2Lp0qXQaDRQqVSV9ikuLkZx8T/3G+Tl5QEANBoNNBqNXvPdPZ6+jytXbC/d6LO9NBpgd86TmBywCRobm1ofzxRp/v55oKni5wJVZrD26tu3wtOB13vhlTPTcbX7c/Czy9Zu3L5dv59pBPz5pRt9tFdN9jWrIic9PR3e3t4Vtnl7e6OkpASZmZnw9fWttM/cuXPx4YcfVtoeHR0NBwcHg+SMiYkxyHHliu2lG32016lTHsgt6Yy6E/yx87EJekhlumLGjRMdwawYur1U+SpYjS7Df1q+g759r2o37txp0M80JP780k1t2quwsFDnfcyqyAEAhUJR4bn0923692+/a+bMmYiMjCx/npeXB39/f4SHh8PZ2Vmv2TQaDWJiYtCnT58qe5WoIraXbvTZXlFRVqhvexOTo+ZCEa2ngCZGo1IhZtw49FmyBCr+tv1Ixmyv713q4crPavS/tFC7wUx7cvjzq/r00V53r8TowqyKHB8fH6Snp1fYlpGRAWtra7i7u1e5j62tLWxtbSttV6lUBvtiGvLYcsT20k1t26u0FNi4ERjpGQsbjVqPyUyTSqOBSi3/89QXY7TXU+6/Y/qlV3GnUAkn6yLAjP/+8+eXbmrTXjXZz6zmyenYsWOlrq7o6GiEhobyS0ZUTb//Dty4AQzz3Cs6ClmoIe77oZZssDv7SdFRSOaEFjm3b99GYmIiEhMTAWiHiCcmJiI5ORmA9lLTiy++WP7+8ePH4+rVq4iMjMS5c+fwww8/YOnSpZg2bZqI+ERmaf16ICAAaO98TnQUslAN7G+gteNFbM7sIjoKyZzQIic+Ph7BwcEIDg4GAERGRiI4OBgffPABACAtLa284AGAhg0bYufOnYiNjUWbNm3w8ccf46uvvuLwcaJqKikBNmwAhg3TLppIJMoQjwPYkdUBmjKu1kmGI/SenB49epTfOFyV5cuXV9rWvXt3nDhxwoCpiORr3z7tIonDhgGIF52GLNlQj/346OpoxN1qjd6iw5BsmdU9OURUO+vXAw0aAKGhopOQpWtT5yICbNOxJauz6CgkYyxyiCwEL1WRKVEogCEeB7ElszMX7CSDYZFDZCH27gUyM/++VEVkAoZ4HEBKsTd4BwIZCoscIguxfj3QqBHQtq3oJERa3VxOwt06F+vXi05CcsUih8gCaDTaCQB5qYpMicqqFMO8YrFmDVBWJjoNyRGLHCIL8NtvQHY2L1WR6RnptQcpKcCBA6KTkByxyCGyAOvXA489BrRpIzoJUUWdXM7C3x9YvVp0EpIjFjlEMqdWA5s28VIVmSYrhYTnngN+/ll7WZVIn1jkEMncr78COTnA8OGikxBVbeRIICsLuG9pQqJaM6tVyImomsLCyv+4/vx0NLVviSemjAbYk0MmqFUroEUL7SWr/v1FpyE5YU8OkYwVl6mw6WZXDPOK5aUqMlkKhbY3Z/NmoKBAdBqSExY5RDIWkx2C3NI6GOa5V3QUood67jltgbNtm+gkJCcscohkbP3NMDR3+AstHf8SHYXooRo1Ajp04Cgr0i8WOUQydadUhS2ZnTDMk5eqyDyMHAns2qW9CZlIH1jkEMlUdE475JXWwbNecaKjEFXLsGHamY83bBCdhOSCRQ6RTK3P6IGWDld4qYrMhrc30KsXL1mR/rDIIZKholIbbMnqjGFesaKjEOlk5Ehg3z4gJUV0EpIDFjlEMhSV3Q63Sx3wrGes6ChEOnnqKcDGBli3TnQSkgMWOUQytO5mGJ5wvITmjsmioxDpxMUFGDgQWLNGdBKSAxY5RDJTWAhsy+yE4V6cG4fM08iRwIkTwPnzopOQuWORQyQzO3cCBWX2eNaTo6rIPPXvDzg7szeHao9FDpHMLF8OhDqdx+MO10RHIaoROzvgmWe0o6wkSXQaMmdcoJNIRq5d006mtvCxnaKjEFXfPQvK3jUyuy2WXfwC8aHj0c45CdjLy6+kO/bkEMnI8uXa34Kf8/pVdBSiWglzTYS3KhurM3qJjkJmjEUOkUyUlQFLl2pnjXW2LhQdh6hWlIoyDPfai7UZPVEq8Z8qqhl+c4hk4rffgL/+AsaOFZ2ESD9Gev+KdLU7Ym+1ER2FzBSLHCKZ+P57oFkzoFMn0UmI9ONJp3NoZJeK1Td4yYpqhkUOkQxkZQGbNml7cbjiOMmFQqHtzdlwsxvu3BGdhswRR1cRmZuBAwG1usKmVdeegaR5DS9sHAZsvyUmF5EBjPT6Ff+++iK2bwf+9S/RacjcsCeHyMxJEvB9Wn8M8TgAL5tbouMQ6VVzx2R0dD6Db78VnYTMEYscIjN3NL85zhQ0wlhfzo1D8vS631bs2QP8+afoJGRuWOQQmbnv0/ojwDYdvV2Pi45CZBDPesbC3R1YvFh0EjI3LHKIzFh+iT3W3OiFV3x3QakoEx2HyCDslBq88gqwbJl2AVqi6mKRQ2TG1t8MQ2GZLV722S06CpFBvfYakJsLrFsnOgmZExY5RGZsaVoEwl3jEWCXIToKkUE1bgz07QssXCg6CZkTFjlEZupsQQMcygvCWN8doqMQGcXrrwPx8cCxY6KTkLlgkUNkppam9YeH6hYGexwUHYXIKAYMAAICgEWLRCchc8Eih8gMFZepsCI9HKO9o2BjVSI6DpFRKJXAq68Ca9cCOTmi05A5YJFDZIa2ZHZGVokLxnBuHLIwY8YAJSXAjz+KTkLmgEUOkRn6Pq0/OjufRnPHZNFRiIzKxwd4+mntJStJEp2GTB2LHCIz81eRN2Jy2vGGY7JYEyZoZz/+7TfRScjUscghMjM/pobDSVmAZ73iREchEqJrV6BlSw4np0djkUNkRkpLgR9T+2Kk169wVN4RHYdICIVCO5x8yxYgNVV0GjJlLHKIzEhCgheuFXvyhmOyeC+8ANjZAUuWiE5CpoxFDpEZ2br1MQQ7XUCoU5LoKERCOTsDo0ZpixyNRnQaMlUscojMRHy8AqdOeeLthuugUIhOQyTe668D168D27aJTkKmikUOkZn4/HMr+PrexlPeB0RHITIJrVsDnTrxBmR6MBY5RGYgKQnYvFmBp566CKWiTHQcIpPx+uvAr79q/44Q3Y9FDpEZ+Pxz7SRoYWEpoqMQmZR//Qvw8AAWLxadhEwRixwiE5eaCqxYAUyZUgaVir04RPeyswNeeQVYvhwoLBSdhkwNixwiE/ff/wIODsC4cSxwiKry2mtAbq72lwGie7HIITJhOTnAt98CEydqh8wSUWWNGgHDhwNz5gBqteg0ZEqsRQcgogdbuFC74vKUKaKTEAkWFvbQl98vCETQteVYtkzbs0MEmEBPzsKFC9GwYUPY2dkhJCQEv//++wPfGxsbC4VCUelx/vx5IyYmMo7CQuB//9Peb+DtLToNkWlr4XgVw4cDn3zC3hz6h9AiZ926dZg6dSreffddJCQkoGvXroiIiEBycvJD90tKSkJaWlr5o0mTJkZKTGQ8y5YB2dnAtGmikxCZh/ffB65d0/7dIQIEFzlffvklxowZg7Fjx6J58+aYP38+/P39sWjRoofu5+XlBR8fn/KHUqk0UmIi49BotMPGhw8HGjYUnYbIPLRoAfbmUAXC7slRq9U4fvw4ZsyYUWF7eHg4Dh48+NB9g4ODcefOHbRo0QLvvfcewh5yrba4uBjFxcXlz/Py8gAAGo0GGj0veHL3ePo+rlyxvR5s9WoFrl61xoYNmvJ1ecrbS6USmMx83G0ntlf1yKK9+vbFjNsBCE75Ft+3WYBx/lUsZLt9u14+ij+/dKOP9qrJvgpJkqQaf2ItXL9+HfXq1cOBAwfQqVOn8u1z5szBjz/+iKQqpq9MSkrCvn37EBISguLiYqxcuRKLFy9GbGwsunXrVuXnzJ49Gx9++GGl7atXr4aDg4P+TohITyQJeOONMHh6FuL994+IjkNkdr74IgTnzrlh0aI9UKmE/BNHBlBYWIiRI0ciNzcXztUcbip8dJXivpUGJUmqtO2upk2bomnTpuXPO3bsiJSUFMybN++BRc7MmTMRGRlZ/jwvLw/+/v4IDw+vdiNVl0ajQUxMDPr06QOVOf82ZCRsryoMHIidN59EcvIQLPf+EF0Wnil/SaNSIWbcOPRZsgQq/vb4SGwv3cipvRqW+qNN5nfI+OBK5d4cPfbk8OdX9emjve5eidGFsCLHw8MDSqUS6enpFbZnZGTAW4ehJB06dMCqVase+LqtrS1sbW0rbVepVAb7Yhry2HLE9rqHWo15l59FJ+cz6OFwAooq7itQaTRQ8YaDamN76UYO7dXK5hJGeO3Fp5dHYKzndthYlfzzop5/1vDnl25q01412U/Yjcc2NjYICQlBTExMhe0xMTEVLl89SkJCAnx9ffUdj0iI/beCsD+3FWYErMYDOjSJqBreD1yBa8WeWJYeIToKCST0clVkZCReeOEFhIaGomPHjvjuu++QnJyM8ePHA9BeakpNTcWKv+fqnj9/Pho0aICWLVtCrVZj1apV2LBhAzZs2CDyNIj05j8pz6GlwxUMcD8sOgqRWWvumIwRXnvxydXn8bLProq9OWQxhBY5w4cPR1ZWFj766COkpaUhKCgIO3fuRGBgIAAgLS2twpw5arUa06ZNQ2pqKuzt7dGyZUvs2LED/fv3F3UKRHpz5gywPasTVjSbAysFb5Ykqq33A1eg5bFlWJYegdf8tomOQwIIv/F4woQJmDBhQpWvLV++vMLz6dOnY/r06UZIRWR8M2cCDezSMMLrN9FRiGSBvTkkfFkHIgJ279YO+vi80WKorEpFxyGSDd6bY9lY5BAJplYDU6cCPXoAz3juEx2HSFbu7c1Rlwm/eEFGxiKHSLCvvwYuXNAuxskRVUT6x94cy8Uih0igGzeADz8Exo8HWrUSnYZInir05pj3FECkIxY5RAK9+y6gVAIffSQ6CZG83e3N+eYb0UnImFjkEAly/Djwww/Axx8D7u6i0xDJW3PHZEzw24L33wfumZmEZI5FDpEAkgRMmQIEBQGvvSY6DZFlmNPoe7i4AJMmaf8OkvyxyCESYPVq4OBB7c3G1hzwQWQUztaFWLAA2LYN2LRJdBoyBhY5REZ2+zYwfTrwzDNAWJjoNESW5amngEGDgMmTgdxc0WnI0Pg7JJGx/F3RzL08Btnpz2LetdFA2A3BoYgsi0KhnbahRQvgvfeABQtEJyJDYpFDZESXi3zxRcowTA9Yiwb2LHCIjC4sDAEA/u3zDCK/noBRByehvfO5iu/Zu1dINNI/Xq4iMqK3Lr0OT5tbeCdgjegoRBZtUr1NCK5zEa8mvQVNmVJ0HDIQFjlERrInuy02Z3bF540Ww1F5R3QcIotmbVWGJU3n4UxBA8y/9i/RcchAWOQQGYFGA7xxcTK6upzEcC92hROZgrZOF/BG/Y2Y9ddLuFLkIzoOGQCLHCIj+O9/gXOFAfjfY19zfSoiE/JRgx/gocrFhAtTOXeODLHIITKww4e1yzdM81+PYKeLouMQ0T3qWN/BN03+h93Z7bH+Jud0kBsWOUQGlJMDjBgBhIYCnzT8XnQcIqrCII9DeMYjDm9cmIQcTR3RcUiPWOQQGYgkAS+/DOTlAWvXAiqrUtGRiOgB/tfkaxSW2WLm5XGio5AescghMpCvvgK2bAGWLQMCA0WnIaKHqWebibmNvse3aYMRGys6DekLixwiAzh2DHj7bWDqVGDIENFpiKg6xvttRVjdExg2jCuVywWLHCI9u3ULGD4caNMG+M9/RKchoupSKsqwvsWHcHDQrnFVWCg6EdUWixwiPZIkYOxYIDsbWLcOsLERnYiIdOFhk4ctW4Dz57V/lzms3LyxyCHSo4ULgQ0bgB9+ABo2FJ2GiGqidWtg+XJgzRrg889Fp6Ha4AKdRPoQFoYT+U0QeeJrTKq3HU8vWABwdWMis/Xss9r5rWbMAIKCgP79RSeimmBPDpEe5JU4YNjZWQhy/AvzGi8WHYeI9OCjj4CBA4GRI4GkJNFpqCZY5BDVkiQBrya9hQxNXaxr8SFsrTSiIxGRHlhZAatWAX5+2lGSubmiE5GuWOQQ1dL8+cC6mz3xfdN5eMzhuug4RKRHzs7a+a5u3ACefx4o5ZyeZoVFDlEtLFwIREYC7/ivxjCvWNFxiMgAmjTRzlq+axfw/vui05AuWOQQ1dC33wITJwJvvgnMbbREdBwiMqC+fbXzXs2dq50egswDR1cR1cD33wPjxwNTpgBffAEoeopORESG9tZbQGKidk26el9OA/6vp/bOZLW66h327jVqPqqMRQ6RjpYtA159VduLM38+oFCITkREehUWVuVmBYAlpTa4avM5+h3/FNNPJoAjy00bL1cR6WDFCmDMGOC114AFC1jgEFkae6UaUa2mo6vraXz8cXtsSO8iOhI9BIscomr66SfgpZe0Rc4337DAIbJUDspibGgzG506XcfIU+/iu+sDRUeiB+DlKqJqWLMGePFFbZHz7bfa+TOIyHKprEoxdeoJBF05gdf+fAtZGmfMCFjNX35MDIscokdYvx4YNUr7WLKEBQ4RaVlZAf9tthDeymz835VxuKmpi3mNF8FKwVU9TQWLHKKH+PFH7eWp557TLrqpVIpORESmRKEAPmiwAu6qPEy+MBlZGmd83/RzqKw4a6ApYJFDVIWCAmDSJO1KxGN8dmBxypdQ9i4THYuITNTEepvhZp2HF8/PRE5JHaxr8RHsRYciFjlE9ztzBhg2DLh6VVvkjF4+T3QkIjIDz3n/BlfrfDx99iP0PfUZtnQZBFfV7YfvxLl0DIp3FxD9TZK0k/y1a6e9LBUfD4weLToVEZmTfu7HsKf1NJwpaIgnjv2AXVlPio5k0VjkEAHIz9feWDxunHYU1dGjQPPmolMRkTnq5HIWJ0PHIsjxCvqf/g/GnH8buSWOomNZJBY5ZPESEoC2bYGtW7VDxb/9FrDnxXQiqgV/u5vY1eodLHn8c/x8szuCjv2AqOx2omNZHBY5ZLEkCVj4+Hx0CFHDKf1PnGgxCiO+DdNO6X7vg4ioBhQKYKzfTpxp9wqaO1xFv1OfYVzSW8grcRAdzWKwyCGLdOwY0Ls3MPHCVLzmtx2H2k5CE4dU0bGISIYC7DIQ1Wo6vn38C6zN6ImgYz8gJjtEdCyLwNFVZFHOnQPeew/YuBFo0QLY/sRMDHA/LDoWEcmcQgG86rcdfd2OYcz5txF+ah5e9d2GTzkCy6DYk0MWITkZeOUVICgIOH5cO8nfqVNggUNERhVodwMxradh8eNfYnVGLwQeXot3Lr2KtGI30dFkiUUOydrNm8CbbwJNmgDbtwPz5wNJSdoRVJy9mIhEUCiA1/y24WL7UZhYbzMWXx+EhofXYHzSm7hU5Cc6nqywyCFZunULmD0baNRIuxzD++8Dly8DkycDtrai0xERAd42OZjb6HskdxyBWQ1+xKbMLnj8yAqM/OM9nLrdSHQ8WeA9OSQbGg0QFQWsWKEdDg61GpPrb8SMgDVw/zUP+FV0QiKiylysCzAzcDWm1v8FP6T3x+fJw9E6fikGuB3CjIDV6CI6oBljTw6ZNUnS3mPzxhtAvXrAoEHA+fPAv/8NXOnwHD5v/C3cVXmiYxIRPZK9Uo2J9TbjQvtRWNFsDq7c8UXXxAVo2RL44APg5EntzzyqPhY5ZJauXQP+8x/tjcShocD69cALLwCJidobiqdNA3xts0XHJCLSmcqqFC/4xOB0u1ew44kZCAkBvvoKaNNGe3/hO+9oZ2VnwfNovFxFZiE3F9i/H4iL0z6OHS2DnZUaQz0O4IsnotDb9TisT5QBJ0QnJSLSDyuFhP7uR9B/BaBWA7/9BmzYoL3P8LPPgPr1gaefBp55BujUCbDmv+iVsEnI9ISFIVvjhN9zWyHuVmvE3WqNxNuNUQYl/GxuonvdU3i96TE87fk7nK0LRaclIjKssDDYAOj392NRCyvsz30CGzK74ZfFXfHVV55wcABCQoD27f951K+vHcllyVjkkHHdu0yCjQ3Kxk/AlZ5jcDHXD+cKA3CuIBDH8r/H6YKGkGCFANt0dK97ChPqbUF3l0Q0tr9u8X9piciyWVuVoYfrSfRwPYn/PfY1juU3w/7cIBw53wLrjzbDvHk+AABfm0y0dz6HDs5/oL3TOQTtmQ93d8sqfIQXOQsXLsTnn3+OtLQ0tGzZEvPnz0fXrl0f+P64uDhERkbi7Nmz8PPzw/Tp0zF+/HgjJiZdlZVp56u5fh24fLMbzhUE4I/CBvijKBDnYhtArR4CAHCwKkIzhxSEOP2JSP+f0d0lEQ3sbwhOT0RkuqwUEto7n0N753Pl29KK3XA0vzkO5zXHkbzm+PfVF3C71AHwBFxcgMceAxo31v737qNxY8DXV34FkNAiZ926dZg6dSoWLlyIzp0749tvv0VERAT++OMPBAQEVHr/lStX0L9/f4wbNw6rVq3CgQMHMGHCBHh6euKZZ54RcAaWSZKAwkLtXDT3Pu4WMtevA6mp//w5PR0oKbm794dws85Fc4dkhDr/iZC+RXgqcS2esLkEf9sMWCl4Jx0RUW342mZjiO0BDPE4AAAolaxwvjAA5wsDcLHID5eu18PFS344tKUeUoq9y/dzsCpCPdtMeKluwdsmB142OfBW5cDL5u/nqhx42+TAdftKODubx5xjQoucL7/8EmPGjMHYsWMBAPPnz0dUVBQWLVqEuXPnVnr/4sWLERAQgPnz5wMAmjdvjvj4eMybN8+ki5y7d8BLku6PsrJ/Hvc/Ly2t/CgpqfxcrdY+NJqq/1xcrC1aCguBoqKq/3w7/hxuldRBTokTbpXUQYlU9VfHQ3ULfjZZ8LPNRJBNFsJtM+HXMAv1bDPhZ5OJALsMeKpuQaEANDY22Dl4Avpei4dKrTbi/xEiIsuhVJShpeNfaOn4V6XXikptcOWOLy4V+eFiUT1cV7sjQ+2KG2pXHMlrjhtqV2RoXCv+zPfS/kel0MBZWQhn6wI4KYvgbF0AZ2UhnJSFGDy/J0aONM75PYywIketVuP48eOYMWNGhe3h4eE4ePBglfscOnQI4eHhFbb17dsXS5cuhUajgUqlqrRPcXExiouLy5/n5uYCALKzs6HRaGp7GhUMHmyFgwd7ACj6+2H6rFAKW4UG9so7cFCqYacshoPV3f8Ww85KDVdlMerVKYaLKh8u1oVwUd5GXVUBXKwL4KIqgLOyAC6qQriq8mFrVfLIz8z+e+YCDYDCwkJkAVBZcTaDR2F76YbtpRu2l25k015WJfBWpcDbKQWdHvAWSQJySxyRoa6Lm2oX5JU4Ir/EXvsodUB+qQMKSuyR9/fz6yX2uHYtB1lZZeXH0Gg02vbKyqry3+rqyM/P/zuPDj3+kiCpqakSAOnAgQMVtn/yySfS448/XuU+TZo0kT755JMK2w4cOCABkK5fv17lPrNmzZIA8MEHH3zwwQcfMnikpKRUu9YQfuOx4r67nCRJqrTtUe+vavtdM2fORGRkZPnzsrIyZGdnw93d/aGfUxN5eXnw9/dHSkoKnJ2d9XpsOWJ76YbtpRu2l27YXrphe+lGH+0lSRLy8/Ph51f9RUyFFTkeHh5QKpVIT0+vsD0jIwPe3t5V7uPj41Pl+62treHu7l7lPra2trC97+6ounXr1jx4NTg7O/NLrwO2l27YXrphe+mG7aUbtpduatteLi4uOr1f2IVEGxsbhISEICYmpsL2mJgYdOpU9ZXBjh07Vnp/dHQ0QkNDa3yNj4iIiORJ6N1SkZGR+P777/HDDz/g3LlzePPNN5GcnFw+783MmTPx4osvlr9//PjxuHr1KiIjI3Hu3Dn88MMPWLp0KaZNmybqFIiIiMhECb0nZ/jw4cjKysJHH32EtLQ0BAUFYefOnQgMDAQApKWlITk5ufz9DRs2xM6dO/Hmm2/im2++gZ+fH7766iuTGT5ua2uLWbNmVbo8RlVje+mG7aUbtpdu2F66YXvpRlR7KSSJ65gSERGR/Jjx4H4iIiKiB2ORQ0RERLLEIoeIiIhkiUUOERERyRKLnAfIz8/H1KlTERgYCHt7e3Tq1AnHjh0rf/3GjRt46aWX4OfnBwcHB/Tr1w8XLlyo9vHXrl0LhUKBoUOHGiC98RmqvW7duoWJEyfC19cXdnZ2aN68OXbu3GnIUzEKQ7XX/Pnz0bRpU9jb28Pf3x9vvvkm7ty5Y8hT0bt9+/Zh0KBB8PPzg0KhwObNmyu8LkkSZs+eDT8/P9jb26NHjx44e/ZshfcUFxdj8uTJ8PDwgKOjIwYPHoxr16498rMXLlyIhg0bws7ODiEhIfj999/1eWoGIaq95s6di3bt2sHJyQleXl4YOnQokpKS9H16eify+3XX3LlzoVAoMHXqVD2ckWGJbK/U1FSMGjUK7u7ucHBwQJs2bXD8+HGd8rPIeYCxY8ciJiYGK1euxOnTpxEeHo7evXsjNTUVkiRh6NChuHz5MrZs2YKEhAQEBgaid+/eKCgoeOSxr169imnTpqFr165GOBPjMER7qdVq9OnTB3/99Rd++eUXJCUlYcmSJahXr54Rz8wwDNFeP/30E2bMmIFZs2bh3LlzWLp0KdatW4eZM2ca8cxqr6CgAK1bt8bXX39d5eufffYZvvzyS3z99dc4duwYfHx80KdPn/LF+wBg6tSp2LRpE9auXYv9+/fj9u3bGDhwIEpLSx/4uevWrcPUqVPx7rvvIiEhAV27dkVERESFaSxMkaj2iouLw8SJE3H48GHExMSgpKQE4eHh1foZKJKo9rrr2LFj+O6779CqVSu9nZMhiWqvnJwcdO7cGSqVCrt27cIff/yBL774QvcVC6q9ypUFKSwslJRKpbR9+/YK21u3bi29++67UlJSkgRAOnPmTPlrJSUlkpubm7RkyZKHHrukpETq3Lmz9P3330ujR4+WhgwZYohTMCpDtdeiRYukRo0aSWq12mDZRTBUe02cOFHq2bNnhW2RkZFSly5d9HsCRgRA2rRpU/nzsrIyycfHR/r000/Lt925c0dycXGRFi9eLEmSJN26dUtSqVTS2rVry9+TmpoqWVlZSbt3737gZz355JPS+PHjK2xr1qyZNGPGDD2djeEZs73ul5GRIQGQ4uLian8iRmLs9srPz5eaNGkixcTESN27d5feeOMNvZ6PoRmzvd555x29/OxiT04VSkpKUFpaCjs7uwrb7e3tsX//fhQXFwNAhdeVSiVsbGywf//+hx77o48+gqenJ8aMGaP/4IIYqr22bt2Kjh07YuLEifD29kZQUBDmzJlTrd+WTJmh2qtLly44fvw4jh49CgC4fPkydu7ciQEDBhjgLMS4cuUK0tPTER4eXr7N1tYW3bt3x8GDBwEAx48fh0ajqfAePz8/BAUFlb/nfmq1GsePH6+wDwCEh4c/cB9zYKj2qkpubi4AwM3NTU/pjc/Q7TVx4kQMGDAAvXv3NswJGJkh22vr1q0IDQ3Fs88+Cy8vLwQHB2PJkiU6Z2SRUwUnJyd07NgRH3/8Ma5fv47S0lKsWrUKR44cQVpaGpo1a4bAwEDMnDkTOTk5UKvV+PTTT5Geno60tLQHHvfAgQNYunRpjf5HmTJDtdfly5fxyy+/oLS0FDt37sR7772HL774Ap988okRz07/DNVeI0aMwMcff4wuXbpApVKhcePGCAsLw4wZM4x4doZ1d4He+xfx9fb2Ln8tPT0dNjY2cHV1feB77peZmYnS0tKHHtccGaq97idJEiIjI9GlSxcEBQXpIbkYhmyvtWvX4sSJE5g7d66eU4tjyPa6fPkyFi1ahCZNmiAqKgrjx4/HlClTsGLFCp0yssh5gJUrV0KSJNSrVw+2trb46quvMHLkSCiVSqhUKmzYsAF//vkn3Nzc4ODggNjYWERERECpVFZ5vPz8fIwaNQpLliyBh4eHkc/G8PTdXgBQVlYGLy8vfPfddwgJCcGIESPw7rvvYtGiRUY8M8MwRHvFxsbik08+wcKFC3HixAls3LgR27dvx8cff2zEMzMOhUJR4bkkSZW23a8676nJcc2BodrrrkmTJuHUqVNYs2ZNjTOaEn23V0pKCt544w2sWrWqUg+uHBji+1VWVoa2bdtizpw5CA4OxmuvvYZx48bp/POfRc4DNG7cGHFxcbh9+zZSUlJw9OhRaDQaNGzYEAAQEhKCxMRE3Lp1C2lpadi9ezeysrLKX7/fpUuX8Ndff2HQoEGwtraGtbU1VqxYga1bt8La2hqXLl0y5unpnb7bCwB8fX3x+OOPV/iHvXnz5khPT4darTb4ORmSIdrr/fffxwsvvICxY8fiiSeewFNPPYU5c+Zg7ty5KCsrM9apGZSPjw8AVPoNMCMjo/y3SR8fH6jVauTk5DzwPffz8PCAUql86HHNkaHa616TJ0/G1q1bsXfvXtSvX19PycUwVHsdP34cGRkZCAkJKf/5HxcXh6+++grW1tZmewnekN8vX19ftGjRosK25s2b6zwQgEXOIzg6OsLX1xc5OTmIiorCkCFDKrzu4uICT09PXLhwAfHx8ZVev6tZs2Y4ffo0EhMTyx+DBw9GWFgYEhMT4e/vb4zTMTh9tRcAdO7cGRcvXqzwD/Sff/4JX19f2NjYGOwcjEmf7VVYWAgrq4p/pZVKJSRJgiSTJeoaNmwIHx8fxMTElG9Tq9WIi4tDp06dAGgLRJVKVeE9aWlpOHPmTPl77mdjY4OQkJAK+wBATEzMA/cxB4ZqL0D7m/ikSZOwceNG/Pbbbw8twM2FodqrV69elX7+h4aG4vnnn0diYuJDe2hNmSG/X507d640JcGff/5ZvoB3tdX61mWZ2r17t7Rr1y7p8uXLUnR0tNS6dWvpySefLB/ps379emnv3r3SpUuXpM2bN0uBgYHS008/XeEYL7zwwkNHZshldJUkGaa9kpOTpTp16kiTJk2SkpKSpO3bt0teXl7Sv//9b6OemyEYor1mzZolOTk5SWvWrCk/buPGjaVhw4YZ9dxqKz8/X0pISJASEhIkANKXX34pJSQkSFevXpUkSZI+/fRTycXFRdq4caN0+vRp6bnnnpN8fX2lvLy88mOMHz9eql+/vrRnzx7pxIkTUs+ePaXWrVtLJSUl5e/p2bOntGDBgvLna9eulVQqlbR06VLpjz/+kKZOnSo5OjpKf/31l/FOvgZEtdfrr78uubi4SLGxsVJaWlr5o7Cw0HgnXwOi2ut+5jK6SlR7HT16VLK2tpY++eQT6cKFC9JPP/0kOTg4SKtWrdIpP4ucB1i3bp3UqFEjycbGRvLx8ZEmTpwo3bp1q/z1//3vf1L9+vUllUolBQQESO+9955UXFxc4Rjdu3eXRo8e/cDPkFORY6j2OnjwoNS+fXvJ1tZWatSokfTJJ59U+IthrgzRXhqNRpo9e7bUuHFjyc7OTvL395cmTJgg5eTkGOms9GPv3r0SgEqPu+daVlYmzZo1S/Lx8ZFsbW2lbt26SadPn65wjKKiImnSpEmSm5ubZG9vLw0cOFBKTk6u8J7AwEBp1qxZFbZ98803UmBgoGRjYyO1bdvWLIZDi2qvqj4TgLRs2TIDn3HtiPx+3ctcihyR7bVt2zYpKChIsrW1lZo1ayZ99913OudXSJJM+rGJiIiI7sF7coiIiEiWWOQQERGRLLHIISIiIllikUNERESyxCKHiIiIZIlFDhEREckSixwiIiKSJRY5REREJEsscoiIiEiWWOQQERGRLLHIISIiIllikUNEZu/mzZvw8fHBnDlzyrcdOXIENjY2iI6OFpiMiETiAp1EJAs7d+7E0KFDcfDgQTRr1gzBwcEYMGAA5s+fLzoaEQnCIoeIZGPixInYs2cP2rVrh5MnT+LYsWOws7MTHYuIBGGRQ0SyUVRUhKCgIKSkpCA+Ph6tWrUSHYmIBOI9OUQkG5cvX8b169dRVlaGq1evio5DRIKxJ4eIZEGtVuPJJ59EmzZt0KxZM3z55Zc4ffo0vL29RUcjIkFY5BCRLLz99tv45ZdfcPLkSdSpUwdhYWFwcnLC9u3bRUcjIkF4uYqIzF5sbCzmz5+PlStXwtnZGVZWVli5ciX279+PRYsWiY5HRIKwJ4eIiIhkiT05REREJEsscoiIiEiWWOQQERGRLLHIISIiIllikUNERESyxCKHiIiIZIlFDhEREckSixwiIiKSJRY5REREJEsscoiIiEiWWOQQERGRLP0/soFP+w7AvXUAAAAASUVORK5CYII=",
       "text/plain": [
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@@ -1761,7 +1761,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c87eac4e",
+   "id": "236a42a1",
    "metadata": {
     "editable": true
    },
@@ -1779,7 +1779,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f0f4313",
+   "id": "8fcdaadc",
    "metadata": {
     "editable": true
    },
@@ -1791,7 +1791,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7895ee8b",
+   "id": "7cc9cdf4",
    "metadata": {
     "editable": true
    },
@@ -1808,7 +1808,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be454b28",
+   "id": "b7b6f4ad",
    "metadata": {
     "editable": true
    },
@@ -1820,7 +1820,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7475f8f9",
+   "id": "859ee059",
    "metadata": {
     "editable": true
    },
@@ -1830,7 +1830,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd472029",
+   "id": "459c3520",
    "metadata": {
     "editable": true
    },
@@ -1842,7 +1842,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b43c8f67",
+   "id": "07d724d8",
    "metadata": {
     "editable": true
    },
@@ -1859,7 +1859,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c47cfb6d",
+   "id": "ebe1aaa1",
    "metadata": {
     "editable": true
    },
@@ -1871,7 +1871,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "593188cd",
+   "id": "6827a56c",
    "metadata": {
     "editable": true
    },
@@ -1881,7 +1881,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76de4d81",
+   "id": "1b5aabc1",
    "metadata": {
     "editable": true
    },
@@ -1893,7 +1893,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afc38c97",
+   "id": "fd4da9e7",
    "metadata": {
     "editable": true
    },
@@ -1903,7 +1903,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b0f2971c",
+   "id": "3ba15e20",
    "metadata": {
     "editable": true
    },
@@ -1915,7 +1915,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a65e495",
+   "id": "3c912a7b",
    "metadata": {
     "editable": true
    },
@@ -1925,7 +1925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "31419298",
+   "id": "43cb230f",
    "metadata": {
     "editable": true
    },
@@ -1941,7 +1941,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "217ddd53",
+   "id": "c723eb72",
    "metadata": {
     "editable": true
    },
@@ -1952,7 +1952,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "ece05002",
+   "id": "52d1b1bf",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2042,7 +2042,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de6dc4e2",
+   "id": "05905c84",
    "metadata": {
     "editable": true
    },
@@ -2053,7 +2053,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "da218205",
+   "id": "15883cc8",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2087,7 +2087,13 @@
       "Error: 0.06844519414009445\n",
       "Bias^2: 0.06453579006728324\n",
       "Var: 0.003909404072811226\n",
-      "0.06844519414009445 >= 0.06453579006728324 + 0.003909404072811226 = 0.06844519414009446\n",
+      "0.06844519414009445 >= 0.06453579006728324 + 0.003909404072811226 = 0.06844519414009446\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
       "Polynomial degree: 5\n",
       "Error: 0.05227921801205686\n",
       "Bias^2: 0.0481872773043029\n",
@@ -2150,7 +2156,7 @@
      },
      "metadata": {
       "filenames": {
-       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_139_2.png"
+       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week37_139_3.png"
       }
      },
      "output_type": "display_data"
@@ -2207,7 +2213,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ea5df06",
+   "id": "d01031bc",
    "metadata": {
     "editable": true
    },
@@ -2245,7 +2251,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40f41d74",
+   "id": "3f1014f9",
    "metadata": {
     "editable": true
    },
@@ -2256,7 +2262,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "03bb50ae",
+   "id": "0f7f0a2b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2380,7 +2386,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cd11e9fd",
+   "id": "5c0a1e98",
    "metadata": {
     "editable": true
    },
@@ -2405,7 +2411,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6cf68ff2",
+   "id": "423a173e",
    "metadata": {
     "editable": true
    },
@@ -2433,7 +2439,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c445bfb2",
+   "id": "531cc595",
    "metadata": {
     "editable": true
    },
@@ -2446,7 +2452,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "8e26035a",
+   "id": "9f463ef6",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2561,7 +2567,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86a6b012",
+   "id": "fb460894",
    "metadata": {
     "editable": true
    },
@@ -2572,7 +2578,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "4a0e1afd",
+   "id": "84f5480a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2629,16 +2635,16 @@
       "Mean squared error on test data: 1.07641937\n",
       "Degree of polynomial:  12\n",
       "Mean squared error on training data: 0.00805074\n",
-      "Mean squared error on test data: 0.04295757\n"
+      "Mean squared error on test data: 0.04295757\n",
+      "Degree of polynomial:  13\n",
+      "Mean squared error on training data: 0.00781918\n",
+      "Mean squared error on test data: 0.56965674\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Degree of polynomial:  13\n",
-      "Mean squared error on training data: 0.00781918\n",
-      "Mean squared error on test data: 0.56965674\n",
       "Degree of polynomial:  14\n",
       "Mean squared error on training data: 0.00465099\n",
       "Mean squared error on test data: 0.28443039\n",
@@ -2698,16 +2704,16 @@
       "Mean squared error on test data: 1079.36895644\n",
       "Degree of polynomial:  27\n",
       "Mean squared error on training data: 0.00068091\n",
-      "Mean squared error on test data: 3207.25343155\n"
+      "Mean squared error on test data: 3207.25343155\n",
+      "Degree of polynomial:  28\n",
+      "Mean squared error on training data: 0.00063362\n",
+      "Mean squared error on test data: 674.79633065\n"
      ]
     },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Degree of polynomial:  28\n",
-      "Mean squared error on training data: 0.00063362\n",
-      "Mean squared error on test data: 674.79633065\n",
       "Degree of polynomial:  29\n",
       "Mean squared error on training data: 0.00063866\n",
       "Mean squared error on test data: 3099.60342978\n"
@@ -2717,9 +2723,9 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87621/626635268.py:73: RuntimeWarning: divide by zero encountered in log10\n",
+      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_88787/626635268.py:73: RuntimeWarning: divide by zero encountered in log10\n",
       "  plt.plot(polynomial, np.log10(trainingerror), label='Training Error')\n",
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87621/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n",
+      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_88787/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n",
       "  plt.plot(polynomial, np.log10(testerror), label='Test Error')\n"
      ]
     },
@@ -2821,7 +2827,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb1e0f15",
+   "id": "2e9a67d4",
    "metadata": {
     "editable": true
    },
@@ -2831,7 +2837,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83c87d33",
+   "id": "a487a944",
    "metadata": {
     "editable": true
    },
@@ -2844,7 +2850,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "74eaac59",
+   "id": "82c29352",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2854,7 +2860,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87621/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n",
+      "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_88787/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n",
       "  plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')\n"
      ]
     },
@@ -2945,7 +2951,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa703354",
+   "id": "c76ccd85",
    "metadata": {
     "editable": true
    },
@@ -2955,7 +2961,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8bffca6",
+   "id": "3131e8d4",
    "metadata": {
     "editable": true
    },
@@ -2984,7 +2990,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "109c07d6",
+   "id": "0b408cd2",
    "metadata": {
     "editable": true
    },
@@ -3000,7 +3006,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ea48f22",
+   "id": "e127a896",
    "metadata": {
     "editable": true
    },
@@ -3019,7 +3025,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "212f90ec",
+   "id": "d0096384",
    "metadata": {
     "editable": true
    },
@@ -3033,7 +3039,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a019e7cb",
+   "id": "c01cf074",
    "metadata": {
     "editable": true
    },
@@ -3045,7 +3051,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ca46c43",
+   "id": "0e482bf6",
    "metadata": {
     "editable": true
    },
@@ -3056,7 +3062,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c61ed9c8",
+   "id": "5fdd00a2",
    "metadata": {
     "editable": true
    },
@@ -3068,7 +3074,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "96d84043",
+   "id": "5c65ebd6",
    "metadata": {
     "editable": true
    },
@@ -3080,7 +3086,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e53b66df",
+   "id": "fab9aceb",
    "metadata": {
     "editable": true
    },
@@ -3096,7 +3102,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "71d542a3",
+   "id": "b5c38a6a",
    "metadata": {
     "editable": true
    },
@@ -3107,7 +3113,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "01b18637",
+   "id": "fb7b60e4",
    "metadata": {
     "editable": true
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@@ -3130,7 +3136,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e35bdcc1",
+   "id": "ab45dff9",
    "metadata": {
     "editable": true
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@@ -3141,7 +3147,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15b7ea3c",
+   "id": "3714ed57",
    "metadata": {
     "editable": true
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@@ -3153,7 +3159,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a4c5f625",
+   "id": "eb804be9",
    "metadata": {
     "editable": true
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@@ -3165,7 +3171,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "450007e4",
+   "id": "b8127b07",
    "metadata": {
     "editable": true
    },
@@ -3179,7 +3185,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3bcf81c1",
+   "id": "8e5964fc",
    "metadata": {
     "editable": true
    },
@@ -3210,7 +3216,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f69a019e",
+   "id": "53b8a320",
    "metadata": {
     "editable": true
    },
@@ -3232,7 +3238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95b37da0",
+   "id": "42b13d5f",
    "metadata": {
     "editable": true
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@@ -3244,7 +3250,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "241c2335",
+   "id": "e273408f",
    "metadata": {
     "editable": true
    },
@@ -3257,7 +3263,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf794384",
+   "id": "1dc4ad8b",
    "metadata": {
     "editable": true
    },
@@ -3269,7 +3275,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4cd5260a",
+   "id": "1a4b573f",
    "metadata": {
     "editable": true
    },
@@ -3281,7 +3287,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7361e846",
+   "id": "59e15b92",
    "metadata": {
     "editable": true
    },
@@ -3293,7 +3299,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6a07837b",
+   "id": "6b9440f8",
    "metadata": {
     "editable": true
    },
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37.py b/doc/LectureNotes/_build/jupyter_execute/week37.py
index b1ad40141..81acc1c35 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week37.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week37.py
@@ -349,13 +349,13 @@
 # constants terms that do not depend on $\beta$, we have
 
 # $$
-# C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1,
+# C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\frac{1}{\tau}\vert\vert\boldsymbol{\beta}\vert\vert_1,
 # $$
 
 # and replacing $1/\tau$ with $\lambda$ we have
 
 # $$
-# C(\boldsymbol{\beta}=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1,
+# C(\boldsymbol{\beta})=\frac{\vert\vert (\boldsymbol{y}-\boldsymbol{X}\boldsymbol{\beta})\vert\vert_2^2}{2\sigma^2}+\lambda\vert\vert\boldsymbol{\beta}\vert\vert_1,
 # $$
 
 # which is our Lasso cost function!
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png b/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png
index 843d99fe9..85f9fe77b 100644
Binary files a/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png and b/doc/LectureNotes/_build/jupyter_execute/week37_121_0.png differ
diff --git a/doc/LectureNotes/_build/jupyter_execute/week37_139_3.png b/doc/LectureNotes/_build/jupyter_execute/week37_139_3.png
new file mode 100644
index 000000000..9ebeeb751
Binary files /dev/null and b/doc/LectureNotes/_build/jupyter_execute/week37_139_3.png differ
diff --git a/doc/LectureNotes/week37.ipynb b/doc/LectureNotes/week37.ipynb
index c24beccbd..2281efc10 100644
--- a/doc/LectureNotes/week37.ipynb
+++ b/doc/LectureNotes/week37.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "7c0ddab1",
+   "id": "1abc3180",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c033bf4",
+   "id": "c1daea13",
    "metadata": {
     "editable": true
    },
@@ -29,7 +29,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4cd5fa1",
+   "id": "44f3b13a",
    "metadata": {
     "editable": true
    },
@@ -59,7 +59,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf80a276",
+   "id": "9bfba57b",
    "metadata": {
     "editable": true
    },
@@ -81,7 +81,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e1f0a90",
+   "id": "bb5184fb",
    "metadata": {
     "editable": true
    },
@@ -91,7 +91,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1b290d64",
+   "id": "fe16ef77",
    "metadata": {
     "editable": true
    },
@@ -114,7 +114,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ceed3a82",
+   "id": "16407da5",
    "metadata": {
     "editable": true
    },
@@ -126,7 +126,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d7e8f98",
+   "id": "7259f755",
    "metadata": {
     "editable": true
    },
@@ -139,7 +139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "58722d7d",
+   "id": "8197a563",
    "metadata": {
     "editable": true
    },
@@ -151,7 +151,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45120edc",
+   "id": "55178ede",
    "metadata": {
     "editable": true
    },
@@ -163,7 +163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f3b680a",
+   "id": "8df6cfdc",
    "metadata": {
     "editable": true
    },
@@ -175,7 +175,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08489797",
+   "id": "725df6b0",
    "metadata": {
     "editable": true
    },
@@ -186,7 +186,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1c81f06",
+   "id": "32b0c74a",
    "metadata": {
     "editable": true
    },
@@ -198,7 +198,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4e092776",
+   "id": "40512d38",
    "metadata": {
     "editable": true
    },
@@ -209,7 +209,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79e5358a",
+   "id": "1867bac9",
    "metadata": {
     "editable": true
    },
@@ -221,7 +221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e5a4f865",
+   "id": "d5d17026",
    "metadata": {
     "editable": true
    },
@@ -231,7 +231,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10b81ba7",
+   "id": "70980886",
    "metadata": {
     "editable": true
    },
@@ -262,7 +262,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3349cb27",
+   "id": "e2f951bb",
    "metadata": {
     "editable": true
    },
@@ -274,7 +274,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0fd1502e",
+   "id": "85dbdab8",
    "metadata": {
     "editable": true
    },
@@ -286,7 +286,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43cba0e8",
+   "id": "bcfb3f71",
    "metadata": {
     "editable": true
    },
@@ -296,7 +296,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6f4e7dc",
+   "id": "e59b8708",
    "metadata": {
     "editable": true
    },
@@ -308,7 +308,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50c2d673",
+   "id": "80d942c3",
    "metadata": {
     "editable": true
    },
@@ -318,7 +318,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "30315a10",
+   "id": "45e5df6c",
    "metadata": {
     "editable": true
    },
@@ -330,7 +330,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd8cdf51",
+   "id": "0f759ec1",
    "metadata": {
     "editable": true
    },
@@ -340,7 +340,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7323296b",
+   "id": "18e4dc4b",
    "metadata": {
     "editable": true
    },
@@ -352,7 +352,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e21334ab",
+   "id": "b50c9cf8",
    "metadata": {
     "editable": true
    },
@@ -362,7 +362,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82974124",
+   "id": "9c043888",
    "metadata": {
     "editable": true
    },
@@ -382,7 +382,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e053e43c",
+   "id": "936f4f77",
    "metadata": {
     "editable": true
    },
@@ -394,7 +394,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94098e13",
+   "id": "306274ee",
    "metadata": {
     "editable": true
    },
@@ -404,7 +404,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27625b1f",
+   "id": "581c5f93",
    "metadata": {
     "editable": true
    },
@@ -416,7 +416,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f3cc8b4",
+   "id": "40a1da92",
    "metadata": {
     "editable": true
    },
@@ -428,7 +428,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7d5464d",
+   "id": "f030b59d",
    "metadata": {
     "editable": true
    },
@@ -440,7 +440,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c292afee",
+   "id": "1f7cab98",
    "metadata": {
     "editable": true
    },
@@ -452,7 +452,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cdbbd444",
+   "id": "e1446472",
    "metadata": {
     "editable": true
    },
@@ -464,7 +464,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "100a8014",
+   "id": "92ddfccf",
    "metadata": {
     "editable": true
    },
@@ -476,7 +476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2e40c4d",
+   "id": "e91caeaf",
    "metadata": {
     "editable": true
    },
@@ -488,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e48456e",
+   "id": "5c78d187",
    "metadata": {
     "editable": true
    },
@@ -500,7 +500,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38ced5b6",
+   "id": "ed3da21c",
    "metadata": {
     "editable": true
    },
@@ -510,7 +510,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1163c07b",
+   "id": "3e1b1c5b",
    "metadata": {
     "editable": true
    },
@@ -522,7 +522,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "becc087f",
+   "id": "e78923b1",
    "metadata": {
     "editable": true
    },
@@ -532,7 +532,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ca2b09d",
+   "id": "e1b17e7e",
    "metadata": {
     "editable": true
    },
@@ -551,7 +551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6572c77d",
+   "id": "77ece18e",
    "metadata": {
     "editable": true
    },
@@ -572,7 +572,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a3f65e5",
+   "id": "d327d5a7",
    "metadata": {
     "editable": true
    },
@@ -584,7 +584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d264f77",
+   "id": "7102a93d",
    "metadata": {
     "editable": true
    },
@@ -595,7 +595,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06b8a13c",
+   "id": "27bfcb69",
    "metadata": {
     "editable": true
    },
@@ -608,7 +608,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d958ed3",
+   "id": "6278ac53",
    "metadata": {
     "editable": true
    },
@@ -620,7 +620,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6330f3f2",
+   "id": "3897e162",
    "metadata": {
     "editable": true
    },
@@ -630,7 +630,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed6a9f67",
+   "id": "6e3ff648",
    "metadata": {
     "editable": true
    },
@@ -642,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de42ab8a",
+   "id": "176c5f9e",
    "metadata": {
     "editable": true
    },
@@ -652,7 +652,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f36b126",
+   "id": "c5af703d",
    "metadata": {
     "editable": true
    },
@@ -664,7 +664,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a7eef00",
+   "id": "948dd53c",
    "metadata": {
     "editable": true
    },
@@ -674,7 +674,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29940f94",
+   "id": "7ebb1faf",
    "metadata": {
     "editable": true
    },
@@ -688,7 +688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2204679",
+   "id": "91c5fa5e",
    "metadata": {
     "editable": true
    },
@@ -700,7 +700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d3f4597f",
+   "id": "e0a0244b",
    "metadata": {
     "editable": true
    },
@@ -710,7 +710,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9e9ca01",
+   "id": "7db46562",
    "metadata": {
     "editable": true
    },
@@ -722,7 +722,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c3062b6",
+   "id": "dfd3b2a2",
    "metadata": {
     "editable": true
    },
@@ -732,7 +732,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b455f707",
+   "id": "0a8c059c",
    "metadata": {
     "editable": true
    },
@@ -744,7 +744,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ac8fdd3",
+   "id": "197c21a0",
    "metadata": {
     "editable": true
    },
@@ -754,7 +754,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "827927db",
+   "id": "f99f268e",
    "metadata": {
     "editable": true
    },
@@ -766,7 +766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c740a13",
+   "id": "6a8b2738",
    "metadata": {
     "editable": true
    },
@@ -776,7 +776,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a855fc3c",
+   "id": "3451f8f0",
    "metadata": {
     "editable": true
    },
@@ -792,7 +792,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9dda8b9e",
+   "id": "2cceee67",
    "metadata": {
     "editable": true
    },
@@ -804,7 +804,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d160205c",
+   "id": "35f4e8bb",
    "metadata": {
     "editable": true
    },
@@ -814,7 +814,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1b7501a6",
+   "id": "21b8abf8",
    "metadata": {
     "editable": true
    },
@@ -826,7 +826,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d75a8c65",
+   "id": "67804133",
    "metadata": {
     "editable": true
    },
@@ -839,7 +839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9f718df",
+   "id": "475b65d6",
    "metadata": {
     "editable": true
    },
@@ -851,7 +851,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b07b6425",
+   "id": "7e68e582",
    "metadata": {
     "editable": true
    },
@@ -861,7 +861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "215a8730",
+   "id": "7798cead",
    "metadata": {
     "editable": true
    },
@@ -873,7 +873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7013d0f0",
+   "id": "06b5fc3f",
    "metadata": {
     "editable": true
    },
@@ -883,7 +883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d56b4ce0",
+   "id": "997f8e5d",
    "metadata": {
     "editable": true
    },
@@ -895,7 +895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9c6b14d",
+   "id": "9fec2088",
    "metadata": {
     "editable": true
    },
@@ -907,7 +907,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0bde16cb",
+   "id": "af56a994",
    "metadata": {
     "editable": true
    },
@@ -917,7 +917,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a2869fc",
+   "id": "d50d4218",
    "metadata": {
     "editable": true
    },
@@ -929,7 +929,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "75b83b9b",
+   "id": "edbfbb74",
    "metadata": {
     "editable": true
    },
@@ -941,19 +941,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e76d916",
+   "id": "684bbebb",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
+    "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\frac{1}{\\tau}\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "09dfe26d",
+   "id": "42ad509f",
    "metadata": {
     "editable": true
    },
@@ -963,19 +963,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4037962f",
+   "id": "75efa6c7",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "C(\\boldsymbol{\\beta}=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
+    "C(\\boldsymbol{\\beta})=\\frac{\\vert\\vert (\\boldsymbol{y}-\\boldsymbol{X}\\boldsymbol{\\beta})\\vert\\vert_2^2}{2\\sigma^2}+\\lambda\\vert\\vert\\boldsymbol{\\beta}\\vert\\vert_1,\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "39a85ba0",
+   "id": "b88067e5",
    "metadata": {
     "editable": true
    },
@@ -985,7 +985,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b263a1fe",
+   "id": "2223ad59",
    "metadata": {
     "editable": true
    },
@@ -1004,7 +1004,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41730165",
+   "id": "adf4f844",
    "metadata": {
     "editable": true
    },
@@ -1032,7 +1032,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4076cee3",
+   "id": "eeacc972",
    "metadata": {
     "editable": true
    },
@@ -1058,7 +1058,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "11139cb3",
+   "id": "b162fc53",
    "metadata": {
     "editable": true
    },
@@ -1075,7 +1075,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2bead9b",
+   "id": "d70c98f7",
    "metadata": {
     "editable": true
    },
@@ -1095,7 +1095,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8df8364e",
+   "id": "220b6410",
    "metadata": {
     "editable": true
    },
@@ -1124,7 +1124,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6b5273f1",
+   "id": "68efa94d",
    "metadata": {
     "editable": true
    },
@@ -1149,7 +1149,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a260b371",
+   "id": "0c144baa",
    "metadata": {
     "editable": true
    },
@@ -1169,7 +1169,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ff1e63c",
+   "id": "3dbef469",
    "metadata": {
     "editable": true
    },
@@ -1181,7 +1181,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ab4b2e8c",
+   "id": "27061345",
    "metadata": {
     "editable": true
    },
@@ -1191,7 +1191,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85b6fb62",
+   "id": "bc270a26",
    "metadata": {
     "editable": true
    },
@@ -1206,7 +1206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "42449344",
+   "id": "4075e050",
    "metadata": {
     "editable": true
    },
@@ -1219,7 +1219,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35e4f511",
+   "id": "19dd4b96",
    "metadata": {
     "editable": true
    },
@@ -1232,7 +1232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c787234f",
+   "id": "f0fa1bc0",
    "metadata": {
     "editable": true
    },
@@ -1244,7 +1244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "183711dc",
+   "id": "8ea697af",
    "metadata": {
     "editable": true
    },
@@ -1257,7 +1257,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2351078d",
+   "id": "6074b0df",
    "metadata": {
     "editable": true
    },
@@ -1268,7 +1268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "408ba3b5",
+   "id": "17890a02",
    "metadata": {
     "editable": true
    },
@@ -1282,7 +1282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ea79849",
+   "id": "86770121",
    "metadata": {
     "editable": true
    },
@@ -1292,7 +1292,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69439aad",
+   "id": "7447aaee",
    "metadata": {
     "editable": true
    },
@@ -1306,7 +1306,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e6c29fd8",
+   "id": "1a065454",
    "metadata": {
     "editable": true
    },
@@ -1319,7 +1319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bb52549",
+   "id": "299e45c4",
    "metadata": {
     "editable": true
    },
@@ -1332,7 +1332,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3430d548",
+   "id": "2e27eb1c",
    "metadata": {
     "editable": true
    },
@@ -1342,7 +1342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ba636b3",
+   "id": "757e0395",
    "metadata": {
     "editable": true
    },
@@ -1355,7 +1355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cb19e98f",
+   "id": "821b4888",
    "metadata": {
     "editable": true
    },
@@ -1365,7 +1365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cc840d7",
+   "id": "1f66e8c1",
    "metadata": {
     "editable": true
    },
@@ -1378,7 +1378,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a5062213",
+   "id": "794b99f5",
    "metadata": {
     "editable": true
    },
@@ -1390,7 +1390,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d555244",
+   "id": "a7703593",
    "metadata": {
     "editable": true
    },
@@ -1409,7 +1409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4356604",
+   "id": "4d4c2830",
    "metadata": {
     "editable": true
    },
@@ -1422,7 +1422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "09dc08a1",
+   "id": "08f438fa",
    "metadata": {
     "editable": true
    },
@@ -1434,7 +1434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dab5056a",
+   "id": "30554920",
    "metadata": {
     "editable": true
    },
@@ -1447,7 +1447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a1f8583",
+   "id": "eb2d0659",
    "metadata": {
     "editable": true
    },
@@ -1467,7 +1467,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1be08ebb",
+   "id": "e3f406ba",
    "metadata": {
     "editable": true
    },
@@ -1490,7 +1490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a368353",
+   "id": "04ed2dd4",
    "metadata": {
     "editable": true
    },
@@ -1505,7 +1505,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6fee4a1a",
+   "id": "ca175052",
    "metadata": {
     "editable": true
    },
@@ -1517,7 +1517,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a97c9ef",
+   "id": "cae9e5af",
    "metadata": {
     "editable": true
    },
@@ -1537,7 +1537,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0a70afb2",
+   "id": "5d65b07a",
    "metadata": {
     "editable": true
    },
@@ -1557,7 +1557,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dc32eaea",
+   "id": "b1bf73fb",
    "metadata": {
     "editable": true
    },
@@ -1581,7 +1581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "016d0ab3",
+   "id": "1f98ac66",
    "metadata": {
     "editable": true
    },
@@ -1602,7 +1602,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f371f0d",
+   "id": "cc88b1ee",
    "metadata": {
     "editable": true
    },
@@ -1632,7 +1632,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "abc56fe7",
+   "id": "8b721633",
    "metadata": {
     "editable": true
    },
@@ -1656,7 +1656,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "a3d2885b",
+   "id": "ad223832",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1695,7 +1695,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5db67125",
+   "id": "17be41a1",
    "metadata": {
     "editable": true
    },
@@ -1705,7 +1705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6f1b5417",
+   "id": "69421d74",
    "metadata": {
     "editable": true
    },
@@ -1716,7 +1716,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "9d98136a",
+   "id": "2729405e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1736,7 +1736,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c87eac4e",
+   "id": "236a42a1",
    "metadata": {
     "editable": true
    },
@@ -1754,7 +1754,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f0f4313",
+   "id": "8fcdaadc",
    "metadata": {
     "editable": true
    },
@@ -1766,7 +1766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7895ee8b",
+   "id": "7cc9cdf4",
    "metadata": {
     "editable": true
    },
@@ -1783,7 +1783,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be454b28",
+   "id": "b7b6f4ad",
    "metadata": {
     "editable": true
    },
@@ -1795,7 +1795,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7475f8f9",
+   "id": "859ee059",
    "metadata": {
     "editable": true
    },
@@ -1805,7 +1805,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd472029",
+   "id": "459c3520",
    "metadata": {
     "editable": true
    },
@@ -1817,7 +1817,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b43c8f67",
+   "id": "07d724d8",
    "metadata": {
     "editable": true
    },
@@ -1834,7 +1834,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c47cfb6d",
+   "id": "ebe1aaa1",
    "metadata": {
     "editable": true
    },
@@ -1846,7 +1846,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "593188cd",
+   "id": "6827a56c",
    "metadata": {
     "editable": true
    },
@@ -1856,7 +1856,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76de4d81",
+   "id": "1b5aabc1",
    "metadata": {
     "editable": true
    },
@@ -1868,7 +1868,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afc38c97",
+   "id": "fd4da9e7",
    "metadata": {
     "editable": true
    },
@@ -1878,7 +1878,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b0f2971c",
+   "id": "3ba15e20",
    "metadata": {
     "editable": true
    },
@@ -1890,7 +1890,7 @@
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@@ -1900,7 +1900,7 @@
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@@ -1916,7 +1916,7 @@
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@@ -1927,7 +1927,7 @@
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-   "id": "ece05002",
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@@ -1992,7 +1992,7 @@
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@@ -2003,7 +2003,7 @@
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-   "id": "da218205",
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@@ -2060,7 +2060,7 @@
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@@ -2098,7 +2098,7 @@
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@@ -2109,7 +2109,7 @@
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-   "id": "03bb50ae",
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@@ -2191,7 +2191,7 @@
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@@ -2216,7 +2216,7 @@
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@@ -2244,7 +2244,7 @@
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@@ -2257,7 +2257,7 @@
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-   "id": "8e26035a",
+   "id": "9f463ef6",
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@@ -2357,7 +2357,7 @@
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@@ -2368,7 +2368,7 @@
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-   "id": "4a0e1afd",
+   "id": "84f5480a",
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@@ -2457,7 +2457,7 @@
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@@ -2467,7 +2467,7 @@
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@@ -2480,7 +2480,7 @@
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-   "id": "74eaac59",
+   "id": "82c29352",
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@@ -2558,7 +2558,7 @@
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+   "id": "c76ccd85",
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@@ -2568,7 +2568,7 @@
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+   "id": "3131e8d4",
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@@ -2597,7 +2597,7 @@
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@@ -2613,7 +2613,7 @@
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@@ -2632,7 +2632,7 @@
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+   "id": "d0096384",
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@@ -2646,7 +2646,7 @@
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+   "id": "c01cf074",
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@@ -2658,7 +2658,7 @@
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@@ -2669,7 +2669,7 @@
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+   "id": "5fdd00a2",
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@@ -2681,7 +2681,7 @@
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+   "id": "5c65ebd6",
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@@ -2693,7 +2693,7 @@
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@@ -2709,7 +2709,7 @@
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@@ -2720,7 +2720,7 @@
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@@ -2743,7 +2743,7 @@
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+   "id": "ab45dff9",
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@@ -2754,7 +2754,7 @@
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+   "id": "3714ed57",
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@@ -2766,7 +2766,7 @@
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+   "id": "eb804be9",
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@@ -2778,7 +2778,7 @@
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+   "id": "b8127b07",
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@@ -2792,7 +2792,7 @@
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@@ -2823,7 +2823,7 @@
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@@ -2845,7 +2845,7 @@
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+   "id": "42b13d5f",
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@@ -2857,7 +2857,7 @@
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+   "id": "e273408f",
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@@ -2870,7 +2870,7 @@
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+   "id": "1dc4ad8b",
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@@ -2882,7 +2882,7 @@
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+   "id": "1a4b573f",
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@@ -2894,7 +2894,7 @@
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@@ -2906,7 +2906,7 @@
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+   "id": "6b9440f8",
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