From d065a77bd9a3787cf12f58e46cef1dc83af05a80 Mon Sep 17 00:00:00 2001
From: Morten Hjorth-Jensen <morten.hjorth-jensen@fys.uio.no>
Date: Mon, 2 Sep 2024 08:14:46 +0200
Subject: [PATCH] typo in weekly material

---
 .../_build/.doctrees/environment.pickle       | Bin 293175 -> 293557 bytes
 .../_build/.doctrees/week36.doctree           | Bin 425572 -> 425572 bytes
 .../_build/html/_sources/week36.ipynb         | 592 +++++++++---------
 doc/LectureNotes/_build/html/searchindex.js   |   2 +-
 doc/LectureNotes/_build/html/week36.html      |  12 +-
 .../_build/jupyter_execute/week36.ipynb       | 592 +++++++++---------
 .../_build/jupyter_execute/week36.py          |   2 +-
 doc/LectureNotes/week36.ipynb                 | 592 +++++++++---------
 8 files changed, 896 insertions(+), 896 deletions(-)

diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle
index faada462b5fcfc0b424e2ac28198f7acdaa85d2b..ebcc943ea8f3c576870da2b7c67741afcb9ab70f 100644
GIT binary patch
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GIT binary patch
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diff --git a/doc/LectureNotes/_build/html/_sources/week36.ipynb b/doc/LectureNotes/_build/html/_sources/week36.ipynb
index cf0f5ebbd..ce8118002 100644
--- a/doc/LectureNotes/_build/html/_sources/week36.ipynb
+++ b/doc/LectureNotes/_build/html/_sources/week36.ipynb
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-    "## Independent and Identically Distrubuted (iid)\n",
+    "## Independent and Identically Distributed (iid)\n",
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     "We define this distribution as"
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@@ -1586,7 +1586,7 @@
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@@ -1598,7 +1598,7 @@
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@@ -1608,7 +1608,7 @@
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@@ -1620,7 +1620,7 @@
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@@ -1630,7 +1630,7 @@
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@@ -1650,7 +1650,7 @@
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@@ -1662,7 +1662,7 @@
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@@ -1672,7 +1672,7 @@
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@@ -1684,7 +1684,7 @@
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@@ -1708,7 +1708,7 @@
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@@ -1720,7 +1720,7 @@
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@@ -1732,7 +1732,7 @@
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@@ -1744,7 +1744,7 @@
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@@ -1756,7 +1756,7 @@
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@@ -1768,7 +1768,7 @@
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@@ -1778,7 +1778,7 @@
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@@ -1790,7 +1790,7 @@
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@@ -1800,7 +1800,7 @@
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@@ -1819,7 +1819,7 @@
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@@ -1840,7 +1840,7 @@
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@@ -1852,7 +1852,7 @@
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@@ -1863,7 +1863,7 @@
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@@ -1876,7 +1876,7 @@
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@@ -1888,7 +1888,7 @@
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@@ -1898,7 +1898,7 @@
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@@ -1910,7 +1910,7 @@
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@@ -1920,7 +1920,7 @@
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@@ -1932,7 +1932,7 @@
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@@ -1942,7 +1942,7 @@
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@@ -1956,7 +1956,7 @@
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@@ -1968,7 +1968,7 @@
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@@ -1978,7 +1978,7 @@
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@@ -1990,7 +1990,7 @@
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@@ -2000,7 +2000,7 @@
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@@ -2012,7 +2012,7 @@
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@@ -2022,7 +2022,7 @@
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@@ -2034,7 +2034,7 @@
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@@ -2044,7 +2044,7 @@
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@@ -2060,7 +2060,7 @@
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@@ -2072,7 +2072,7 @@
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@@ -2082,7 +2082,7 @@
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@@ -2094,7 +2094,7 @@
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@@ -2107,7 +2107,7 @@
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@@ -2119,7 +2119,7 @@
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@@ -2129,7 +2129,7 @@
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@@ -2141,7 +2141,7 @@
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@@ -2151,7 +2151,7 @@
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@@ -2163,7 +2163,7 @@
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@@ -2175,7 +2175,7 @@
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@@ -2185,7 +2185,7 @@
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@@ -2197,7 +2197,7 @@
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@@ -2209,7 +2209,7 @@
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@@ -2221,7 +2221,7 @@
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@@ -2231,7 +2231,7 @@
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@@ -2243,7 +2243,7 @@
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@@ -2253,7 +2253,7 @@
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@@ -2265,7 +2265,7 @@
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@@ -2277,7 +2277,7 @@
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@@ -2289,7 +2289,7 @@
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@@ -2299,7 +2299,7 @@
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@@ -2311,7 +2311,7 @@
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@@ -2321,7 +2321,7 @@
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@@ -2338,7 +2338,7 @@
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@@ -2348,7 +2348,7 @@
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@@ -2360,7 +2360,7 @@
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@@ -2370,7 +2370,7 @@
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@@ -2382,7 +2382,7 @@
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@@ -2396,7 +2396,7 @@
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@@ -2408,7 +2408,7 @@
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@@ -2430,7 +2430,7 @@
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@@ -2442,7 +2442,7 @@
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@@ -2457,7 +2457,7 @@
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@@ -2469,7 +2469,7 @@
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@@ -2481,7 +2481,7 @@
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@@ -2491,7 +2491,7 @@
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@@ -2503,7 +2503,7 @@
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@@ -2513,7 +2513,7 @@
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@@ -2525,7 +2525,7 @@
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@@ -2535,7 +2535,7 @@
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@@ -2547,7 +2547,7 @@
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@@ -2564,7 +2564,7 @@
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@@ -2578,7 +2578,7 @@
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@@ -2592,7 +2592,7 @@
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@@ -2603,7 +2603,7 @@
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@@ -2643,7 +2643,7 @@
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@@ -2663,7 +2663,7 @@
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@@ -2675,7 +2675,7 @@
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@@ -2686,7 +2686,7 @@
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@@ -2720,7 +2720,7 @@
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@@ -2730,7 +2730,7 @@
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@@ -2743,7 +2743,7 @@
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@@ -2755,7 +2755,7 @@
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@@ -2765,7 +2765,7 @@
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@@ -2778,7 +2778,7 @@
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@@ -2788,7 +2788,7 @@
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@@ -2800,7 +2800,7 @@
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@@ -2815,7 +2815,7 @@
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@@ -2828,7 +2828,7 @@
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@@ -2842,7 +2842,7 @@
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@@ -2854,7 +2854,7 @@
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@@ -2864,7 +2864,7 @@
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@@ -2877,7 +2877,7 @@
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@@ -2889,7 +2889,7 @@
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@@ -2901,7 +2901,7 @@
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@@ -2913,7 +2913,7 @@
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@@ -2925,7 +2925,7 @@
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@@ -2939,7 +2939,7 @@
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@@ -2951,7 +2951,7 @@
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@@ -2961,7 +2961,7 @@
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@@ -2973,7 +2973,7 @@
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@@ -2983,7 +2983,7 @@
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@@ -2995,7 +2995,7 @@
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@@ -3007,7 +3007,7 @@
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@@ -3017,7 +3017,7 @@
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@@ -3028,7 +3028,7 @@
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@@ -3040,7 +3040,7 @@
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@@ -3056,7 +3056,7 @@
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@@ -3069,7 +3069,7 @@
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@@ -3081,7 +3081,7 @@
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@@ -3091,7 +3091,7 @@
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@@ -3103,7 +3103,7 @@
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@@ -3113,7 +3113,7 @@
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@@ -3125,7 +3125,7 @@
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@@ -3137,7 +3137,7 @@
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@@ -3153,7 +3153,7 @@
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@@ -3165,7 +3165,7 @@
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@@ -3177,7 +3177,7 @@
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@@ -3187,7 +3187,7 @@
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@@ -3199,7 +3199,7 @@
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@@ -3209,7 +3209,7 @@
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@@ -3221,7 +3221,7 @@
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@@ -3238,7 +3238,7 @@
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@@ -3250,7 +3250,7 @@
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@@ -3262,7 +3262,7 @@
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@@ -3272,7 +3272,7 @@
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@@ -3284,7 +3284,7 @@
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@@ -3294,7 +3294,7 @@
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@@ -3306,7 +3306,7 @@
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@@ -3316,7 +3316,7 @@
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@@ -3328,7 +3328,7 @@
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@@ -3338,7 +3338,7 @@
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@@ -3353,7 +3353,7 @@
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@@ -3365,7 +3365,7 @@
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@@ -3375,7 +3375,7 @@
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@@ -3387,7 +3387,7 @@
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@@ -3399,7 +3399,7 @@
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@@ -3411,7 +3411,7 @@
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@@ -3421,7 +3421,7 @@
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@@ -3433,7 +3433,7 @@
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@@ -3445,7 +3445,7 @@
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@@ -3457,7 +3457,7 @@
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@@ -3467,7 +3467,7 @@
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@@ -3479,7 +3479,7 @@
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@@ -3489,7 +3489,7 @@
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@@ -3503,7 +3503,7 @@
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@@ -3513,7 +3513,7 @@
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@@ -3525,7 +3525,7 @@
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@@ -3537,7 +3537,7 @@
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@@ -3547,7 +3547,7 @@
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@@ -3559,7 +3559,7 @@
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@@ -3569,7 +3569,7 @@
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@@ -3581,7 +3581,7 @@
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@@ -3593,7 +3593,7 @@
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@@ -3603,7 +3603,7 @@
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@@ -3615,7 +3615,7 @@
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@@ -3625,7 +3625,7 @@
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@@ -3637,7 +3637,7 @@
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@@ -3649,7 +3649,7 @@
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@@ -3659,7 +3659,7 @@
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@@ -3671,7 +3671,7 @@
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@@ -3684,7 +3684,7 @@
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@@ -3696,7 +3696,7 @@
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@@ -3708,7 +3708,7 @@
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@@ -3720,7 +3720,7 @@
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@@ -3730,7 +3730,7 @@
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@@ -3742,7 +3742,7 @@
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@@ -3752,7 +3752,7 @@
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@@ -3764,7 +3764,7 @@
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@@ -3774,7 +3774,7 @@
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@@ -3786,7 +3786,7 @@
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@@ -3796,7 +3796,7 @@
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@@ -3809,7 +3809,7 @@
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@@ -3821,7 +3821,7 @@
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@@ -3833,7 +3833,7 @@
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@@ -3843,7 +3843,7 @@
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@@ -3855,7 +3855,7 @@
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@@ -3872,7 +3872,7 @@
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@@ -3884,7 +3884,7 @@
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@@ -3896,7 +3896,7 @@
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@@ -3906,7 +3906,7 @@
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@@ -3918,7 +3918,7 @@
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@@ -3928,7 +3928,7 @@
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@@ -3940,7 +3940,7 @@
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@@ -3950,7 +3950,7 @@
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@@ -3962,7 +3962,7 @@
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@@ -3972,7 +3972,7 @@
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@@ -3987,7 +3987,7 @@
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@@ -4047,7 +4047,7 @@
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@@ -4057,7 +4057,7 @@
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@@ -4068,7 +4068,7 @@
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@@ -4135,7 +4135,7 @@
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@@ -4146,7 +4146,7 @@
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class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 9 (midnight), 2023","Project 2 on Machine Learning, deadline November 17 (Midnight)","Project 3 on Machine Learning, deadline December 18 (midnight), 2023","Teaching schedule with links to material","<span class=\"section-number\">1. </span>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 Rgeression and Statistical 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class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 9 (midnight), 2023","Project 2 on Machine Learning, deadline November 17 (Midnight)","Project 3 on Machine Learning, deadline December 18 (midnight), 2023","Teaching schedule with links to material","<span class=\"section-number\">1. </span>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 Rgeression and Statistical interpretations"],titleterms:{"1":[0,15,16,17,20,27,28],"12":[],"13":[],"14":[],"17":21,"18":22,"19":[],"2":[0,15,16,17,21,27,28,29],"2023":[20,22,25],"21":[],"23":[],"26":28,"3":[0,15,16,22,27,28],"31":[],"34":[15,27],"35":[16,28],"36":[17,29],"37":[],"38":[],"39":[],"3d":[],"4":[0,28],"40":[],"41":[],"42":[],"43":[],"44":[],"45":[],"46":[],"47":[],"5":0,"7":[],"9":20,"case":[8,10,24,28,29],"class":[],"do":[1,29],"final":[12,21,28,29],"function":[0,1,6,7,8,10,11,12,13,20,21,24,27,28,29],"import":[5,19,27,28,29],"long":[],"new":[4,29],"short":[],"try":[],A:[0,1,4,8,9,27,29],AND:[],And:[27,28,29],But:[],For:28,If:[],In:25,Is:[],Ising:6,No:[],Not:[],OR:[],The:[0,1,2,3,5,6,7,8,9,11,12,17,18,22,27,28,29],Then:[],To:[27,28],With:[4,29],about:[27,28],abov:29,access:[],activ:[1,12,21,29],ad:[0,6,17,20,27,28],adaboost:10,adagrad:13,adam:13,adapt:10,add:[],addit:[],adjust:1,advanc:[],adversari:4,after:[],again:[3,9],ai:27,aim:[8,9,17,27],aka:[27,28],al:[],algebra:[19,27],algorithm:[9,10,11,12,21,28],algortithm:13,all:8,allow:[],altern:22,an:[0,4,10,27],analys:[5,28],analysi:[0,5,6,11,18,20,21,24,27,28,29],analyt:[0,16,17],analyz:22,ani:13,anoth:[9,29],appli:18,approach:[0,8,14,27],approxim:12,architectur:1,argument:[],arithmet:[],arrai:[19,27],artifici:[],assist:25,assumpt:29,attend:[],august:28,autocorrel:24,autoencod:[],autograd:[2,13],automat:13,avoid:[],b:[17,20,21,22],back:[1,11,12],background:[18,20,21],backpropag:[],backward:[],bag:10,base:13,basic:[0,5,7,9,10,11,19,22,28,29],batch:1,bay:[5,29],bayesian:[],befor:11,begin:[],best:[],beta:29,better:8,between:[],bia:[6,20],bias:[],binari:1,bind:27,bird:10,bm:[],boldsymbol:[28,29],boltzmann:[],boost:10,bootstrap:[6,10],boston:0,breast:1,brief:27,bring:12,build:[1,3,9],c:[20,21,22,27],calcul:28,can:27,cancer:[1,7,9,11],canva:[],cart:9,cell:[],center:28,central:[13,18,24],chain:12,challeng:[],chanel:[],chang:10,channel:27,chi:[0,27],choic:[],choos:1,cifar01:3,classic:11,classif:[1,9,10,21],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,21,27,28,29],coeffici:[],coin:[],collect:[1,3],combin:[],come:[],commun:27,compact:[],compar:[2,10],comparison:29,compet:[],compil:[],complet:28,complex:[0,6,20,22,28],complic:6,compon:11,comput:9,computation:[],computerlab:27,con:9,concept:24,condit:29,confid:[],conjug:13,connect:[],construct:[],content:[],continu:[],contn:27,convex:[8,13],convolut:[3,12],convolution2dlay:[],correctli:29,correl:[11,28],correspond:[],cost:[1,10,28,29],cours:[18,26,27],covari:[5,11,24,28],cover:27,critic:21,cross:[6,20],ct:[],cumul:[],curv:[],cython:27,d:[20,21,22],data:[0,1,3,6,7,9,11,15,16,18,20,22,24,27,28,29],dataset:[1,3],deadlin:[20,21,22,27],decai:2,decemb:22,decis:[9,10],decomposit:[5,11,17,19,28],deep:[1,2,27],deepen:[],defin:[1,22,27],definit:[],degre:[0,28],deliveri:[20,21,22],delta:[],demonstr:[],dens:[0,27],deriv:[5,12,28,29],descent:[2,10,13,21],descript:20,design:28,detail:[3,27],develop:1,diagon:11,did:[],differ:[8,21],different:[],differenti:[2,13,22],diffus:2,dimension:[2,3,8,20,28],directli:[],disadvantag:9,discord:[],discret:24,discuss:[],distinct:[],distribut:[5,24,29],distrubut:[],dnn:[],doe:[28,29],domain:24,don:[],dot:[],down:1,dropout:1,dual:[],e:[20,21,22],each:[],easi:[],economi:28,effect:[],effici:[],effort:[],electron:[20,21,22],element:[0,24,27],elimin:19,energi:27,ensembl:10,entropi:9,environ:[0,15,27],equat:[0,2,12,22,27,28,29],error:[0,10,27,28],essenti:27,estim:29,et:[],etc:27,euler:2,evalu:[1,21],exam:[],exampl:[0,1,2,3,4,6,7,8,9,10,27,28,29],exercis:[0,6,15,16,17,27,28],expect:[24,29],expens:[],experi:24,explain:[],explod:[],explor:[0,15,16,27],exponenti:2,express:[17,28],extend:[],extrapol:4,extrem:[10,27],ey:10,f:[20,21],f_1:[],face:[],factor:[],fall:25,famili:[1,27,28],famou:19,fantast:28,featur:[9,19,28],feed:[1,12],file:[],find:[],fine:1,first:[4,12,21,27,28,29],fit:[0,10,27,29],fix:28,flatten:[],flow:[],fold:[],forc:3,forest:10,format:[20,21,22,27],forward:[1,2,12],four:[],fourier:3,frank:[6,20,28],freedom:[0,28],frequent:28,frequentist:[0,27],fridai:[],from:[5,10,12,21,28,29],full:2,fulli:[],funtion:[],further:[3,5,28],futur:[],g:20,gain:[],gan:4,gate:[],gaussian:19,gd:13,gener:[4,9,27],geometr:11,get:[],gini:9,github:[],go:[],goal:[],good:[0,27],goodfellow:[],grade:[25,27],gradient:[1,2,10,13,21],grid:[],group:[],grow:[],growth:2,ha:18,half:[],hand:[],handl:[19,27,28],happen:29,have:[],head:[],heard:[],heroic:[],hessian:28,hidden:2,histogram:[],homework:[],hour:[],hous:0,how:[],hyperbol:[],hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ideal:[],ident:29,identifi:[],ii:27,iid:29,iii:[],illustr:29,imag:[],implement:1,implic:[5,28],impress:[],improv:1,includ:13,increment:11,independ:29,index:9,indic:[],inform:25,initi:[],input:2,insight:[],instal:[18,20,22,27],instructor:25,intellig:[],intercept:28,interest:[],interpret:[5,11,27,28,29],interv:[],introduc:[11,13,28],introduct:[0,6,18,19,20,21,22,27],invers:[5,19,29],invert:28,iter:10,its:28,iv:[],jacobian:28,jargon:[],jax:13,job:[],joint:[],judg:[]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\ No newline at end of file
diff --git a/doc/LectureNotes/_build/html/week36.html b/doc/LectureNotes/_build/html/week36.html
index c0ba481d3..5bb7362a7 100644
--- a/doc/LectureNotes/_build/html/week36.html
+++ b/doc/LectureNotes/_build/html/week36.html
@@ -397,8 +397,8 @@ const thebe_selector_output = ".output, .cell_output"
   </a>
  </li>
  <li class="toc-h2 nav-item toc-entry">
-  <a class="reference internal nav-link" href="#independent-and-identically-distrubuted-iid">
-   Independent and Identically Distrubuted (iid)
+  <a class="reference internal nav-link" href="#independent-and-identically-distributed-iid">
+   Independent and Identically Distributed (iid)
   </a>
  </li>
  <li class="toc-h2 nav-item toc-entry">
@@ -668,8 +668,8 @@ const thebe_selector_output = ".output, .cell_output"
   </a>
  </li>
  <li class="toc-h2 nav-item toc-entry">
-  <a class="reference internal nav-link" href="#independent-and-identically-distrubuted-iid">
-   Independent and Identically Distrubuted (iid)
+  <a class="reference internal nav-link" href="#independent-and-identically-distributed-iid">
+   Independent and Identically Distributed (iid)
   </a>
  </li>
  <li class="toc-h2 nav-item toc-entry">
@@ -1854,8 +1854,8 @@ single output <span class="math notranslate nohighlight">\(y_i\)</span> is given
 y_i\sim \mathcal{N}(\boldsymbol{X}_{i,*}\boldsymbol{\beta}, \sigma^2)=\frac{1}{\sqrt{2\pi\sigma^2}}\exp{\left[-\frac{(y_i-\boldsymbol{X}_{i,*}\boldsymbol{\beta})^2}{2\sigma^2}\right]}.
 \]</div>
 </div>
-<div class="section" id="independent-and-identically-distrubuted-iid">
-<h2>Independent and Identically Distrubuted (iid)<a class="headerlink" href="#independent-and-identically-distrubuted-iid" title="Permalink to this headline">¶</a></h2>
+<div class="section" id="independent-and-identically-distributed-iid">
+<h2>Independent and Identically Distributed (iid)<a class="headerlink" href="#independent-and-identically-distributed-iid" title="Permalink to this headline">¶</a></h2>
 <p>We assume now that the various <span class="math notranslate nohighlight">\(y_i\)</span> values are stochastically distributed according to the above Gaussian distribution.
 We define this distribution as</p>
 <div class="math notranslate nohighlight">
diff --git a/doc/LectureNotes/_build/jupyter_execute/week36.ipynb b/doc/LectureNotes/_build/jupyter_execute/week36.ipynb
index eeb8cd3bd..8e5110b67 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week36.ipynb
+++ b/doc/LectureNotes/_build/jupyter_execute/week36.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "2427fbe5",
+   "id": "66ea8ed4",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98caf851",
+   "id": "79ce282c",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "489a527a",
+   "id": "ed85c38c",
    "metadata": {
     "editable": true
    },
@@ -57,7 +57,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe23e7aa",
+   "id": "faf98f14",
    "metadata": {
     "editable": true
    },
@@ -67,7 +67,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50c6fe19",
+   "id": "203d6afa",
    "metadata": {
     "editable": true
    },
@@ -124,7 +124,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "c7526e0f",
+   "id": "e3f345b9",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -162,7 +162,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf3347b3",
+   "id": "d382904b",
    "metadata": {
     "editable": true
    },
@@ -176,7 +176,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db92ee91",
+   "id": "9a2d4217",
    "metadata": {
     "editable": true
    },
@@ -188,7 +188,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4deb318",
+   "id": "1963de4b",
    "metadata": {
     "editable": true
    },
@@ -205,7 +205,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "566b33c0",
+   "id": "09a545ff",
    "metadata": {
     "editable": true
    },
@@ -217,7 +217,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5852f18d",
+   "id": "6384894b",
    "metadata": {
     "editable": true
    },
@@ -227,7 +227,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "49ab6c0e",
+   "id": "b72ca042",
    "metadata": {
     "editable": true
    },
@@ -239,7 +239,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5492504c",
+   "id": "b193f08c",
    "metadata": {
     "editable": true
    },
@@ -249,7 +249,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2c288e3",
+   "id": "d05df72f",
    "metadata": {
     "editable": true
    },
@@ -261,7 +261,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "363e9584",
+   "id": "708ab439",
    "metadata": {
     "editable": true
    },
@@ -272,7 +272,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3517358f",
+   "id": "bfc8322f",
    "metadata": {
     "editable": true
    },
@@ -284,7 +284,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63d61744",
+   "id": "ea8a6fa5",
    "metadata": {
     "editable": true
    },
@@ -294,7 +294,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29de0897",
+   "id": "db3ef9e5",
    "metadata": {
     "editable": true
    },
@@ -306,7 +306,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0876b29",
+   "id": "0fcdc688",
    "metadata": {
     "editable": true
    },
@@ -316,7 +316,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7cbe066d",
+   "id": "3e7f32ff",
    "metadata": {
     "editable": true
    },
@@ -328,7 +328,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f37257b",
+   "id": "5803cedf",
    "metadata": {
     "editable": true
    },
@@ -338,7 +338,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5eebbb8b",
+   "id": "884ca2e2",
    "metadata": {
     "editable": true
    },
@@ -350,7 +350,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9dbc778a",
+   "id": "633c4189",
    "metadata": {
     "editable": true
    },
@@ -360,7 +360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d89c4a7",
+   "id": "1c60b743",
    "metadata": {
     "editable": true
    },
@@ -372,7 +372,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ba588dd",
+   "id": "cb3025b6",
    "metadata": {
     "editable": true
    },
@@ -382,7 +382,7 @@
   },
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@@ -394,7 +394,7 @@
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@@ -404,7 +404,7 @@
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@@ -416,7 +416,7 @@
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@@ -426,7 +426,7 @@
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@@ -438,7 +438,7 @@
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@@ -450,7 +450,7 @@
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@@ -462,7 +462,7 @@
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@@ -523,7 +523,7 @@
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@@ -658,7 +658,7 @@
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@@ -691,7 +691,7 @@
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@@ -701,7 +701,7 @@
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@@ -713,7 +713,7 @@
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@@ -723,7 +723,7 @@
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@@ -735,7 +735,7 @@
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@@ -753,7 +753,7 @@
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@@ -938,7 +938,7 @@
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@@ -952,7 +952,7 @@
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@@ -1172,7 +1172,7 @@
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@@ -1187,7 +1187,7 @@
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@@ -1213,7 +1213,7 @@
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@@ -1318,7 +1318,7 @@
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@@ -1328,7 +1328,7 @@
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@@ -1357,7 +1357,7 @@
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@@ -1373,7 +1373,7 @@
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@@ -1392,7 +1392,7 @@
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@@ -1406,7 +1406,7 @@
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@@ -1418,7 +1418,7 @@
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@@ -1429,7 +1429,7 @@
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@@ -1441,7 +1441,7 @@
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@@ -1453,7 +1453,7 @@
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@@ -1469,7 +1469,7 @@
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@@ -1480,7 +1480,7 @@
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@@ -1503,7 +1503,7 @@
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@@ -1514,7 +1514,7 @@
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@@ -1526,7 +1526,7 @@
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@@ -1538,7 +1538,7 @@
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@@ -1552,7 +1552,7 @@
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@@ -1583,7 +1583,7 @@
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@@ -1605,7 +1605,7 @@
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@@ -1617,7 +1617,7 @@
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@@ -1630,7 +1630,7 @@
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@@ -1642,7 +1642,7 @@
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@@ -1654,7 +1654,7 @@
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@@ -1666,7 +1666,7 @@
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@@ -1678,7 +1678,7 @@
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    "source": [
-    "## Independent and Identically Distrubuted (iid)\n",
+    "## Independent and Identically Distributed (iid)\n",
     "\n",
     "We assume now that the various $y_i$ values are stochastically distributed according to the above Gaussian distribution. \n",
     "We define this distribution as"
@@ -1726,7 +1726,7 @@
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@@ -1738,7 +1738,7 @@
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@@ -1808,7 +1808,7 @@
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@@ -1861,7 +1861,7 @@
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@@ -1883,7 +1883,7 @@
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@@ -1917,7 +1917,7 @@
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@@ -1927,7 +1927,7 @@
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@@ -1939,7 +1939,7 @@
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@@ -1949,7 +1949,7 @@
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@@ -1969,7 +1969,7 @@
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@@ -1981,7 +1981,7 @@
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@@ -1991,7 +1991,7 @@
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@@ -2003,7 +2003,7 @@
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@@ -2015,7 +2015,7 @@
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@@ -2039,7 +2039,7 @@
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@@ -2051,7 +2051,7 @@
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@@ -2063,7 +2063,7 @@
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@@ -2075,7 +2075,7 @@
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@@ -2087,7 +2087,7 @@
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@@ -2097,7 +2097,7 @@
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@@ -2109,7 +2109,7 @@
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@@ -2119,7 +2119,7 @@
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@@ -2138,7 +2138,7 @@
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@@ -2159,7 +2159,7 @@
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@@ -2171,7 +2171,7 @@
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@@ -2182,7 +2182,7 @@
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@@ -2195,7 +2195,7 @@
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@@ -2207,7 +2207,7 @@
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@@ -2217,7 +2217,7 @@
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@@ -2229,7 +2229,7 @@
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@@ -2239,7 +2239,7 @@
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@@ -2251,7 +2251,7 @@
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@@ -2261,7 +2261,7 @@
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@@ -2275,7 +2275,7 @@
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@@ -2287,7 +2287,7 @@
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@@ -2297,7 +2297,7 @@
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@@ -2309,7 +2309,7 @@
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@@ -2319,7 +2319,7 @@
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@@ -2331,7 +2331,7 @@
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@@ -2341,7 +2341,7 @@
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@@ -2353,7 +2353,7 @@
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@@ -2363,7 +2363,7 @@
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@@ -2379,7 +2379,7 @@
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@@ -2391,7 +2391,7 @@
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@@ -2401,7 +2401,7 @@
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@@ -2413,7 +2413,7 @@
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@@ -2426,7 +2426,7 @@
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@@ -2438,7 +2438,7 @@
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@@ -2448,7 +2448,7 @@
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@@ -2460,7 +2460,7 @@
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@@ -2470,7 +2470,7 @@
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@@ -2482,7 +2482,7 @@
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@@ -2494,7 +2494,7 @@
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@@ -2504,7 +2504,7 @@
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@@ -2516,7 +2516,7 @@
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@@ -2528,7 +2528,7 @@
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@@ -2540,7 +2540,7 @@
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@@ -2550,7 +2550,7 @@
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@@ -2562,7 +2562,7 @@
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@@ -2572,7 +2572,7 @@
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@@ -2584,7 +2584,7 @@
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@@ -2596,7 +2596,7 @@
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@@ -2608,7 +2608,7 @@
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@@ -2618,7 +2618,7 @@
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@@ -2630,7 +2630,7 @@
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@@ -2640,7 +2640,7 @@
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@@ -2657,7 +2657,7 @@
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@@ -2667,7 +2667,7 @@
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@@ -2679,7 +2679,7 @@
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@@ -2689,7 +2689,7 @@
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@@ -2701,7 +2701,7 @@
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@@ -2715,7 +2715,7 @@
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@@ -2727,7 +2727,7 @@
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@@ -2749,7 +2749,7 @@
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@@ -2761,7 +2761,7 @@
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@@ -2776,7 +2776,7 @@
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@@ -2788,7 +2788,7 @@
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@@ -2800,7 +2800,7 @@
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@@ -2810,7 +2810,7 @@
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@@ -2822,7 +2822,7 @@
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@@ -2832,7 +2832,7 @@
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@@ -2844,7 +2844,7 @@
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@@ -2854,7 +2854,7 @@
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@@ -2866,7 +2866,7 @@
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@@ -2883,7 +2883,7 @@
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@@ -2897,7 +2897,7 @@
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@@ -2924,7 +2924,7 @@
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@@ -2935,7 +2935,7 @@
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@@ -2975,7 +2975,7 @@
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@@ -2995,7 +2995,7 @@
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@@ -3007,7 +3007,7 @@
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@@ -3018,7 +3018,7 @@
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@@ -3052,7 +3052,7 @@
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@@ -3062,7 +3062,7 @@
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@@ -3075,7 +3075,7 @@
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@@ -3087,7 +3087,7 @@
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@@ -3097,7 +3097,7 @@
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@@ -3110,7 +3110,7 @@
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@@ -3120,7 +3120,7 @@
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@@ -3132,7 +3132,7 @@
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@@ -3147,7 +3147,7 @@
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@@ -3160,7 +3160,7 @@
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@@ -3174,7 +3174,7 @@
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@@ -3186,7 +3186,7 @@
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@@ -3196,7 +3196,7 @@
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@@ -3209,7 +3209,7 @@
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@@ -3221,7 +3221,7 @@
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@@ -3233,7 +3233,7 @@
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@@ -3245,7 +3245,7 @@
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@@ -3257,7 +3257,7 @@
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@@ -3271,7 +3271,7 @@
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@@ -3283,7 +3283,7 @@
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@@ -3293,7 +3293,7 @@
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@@ -3305,7 +3305,7 @@
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@@ -3315,7 +3315,7 @@
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@@ -3327,7 +3327,7 @@
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@@ -3339,7 +3339,7 @@
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@@ -3349,7 +3349,7 @@
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@@ -3360,7 +3360,7 @@
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@@ -3372,7 +3372,7 @@
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@@ -3388,7 +3388,7 @@
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@@ -3401,7 +3401,7 @@
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@@ -3413,7 +3413,7 @@
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@@ -3423,7 +3423,7 @@
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@@ -3435,7 +3435,7 @@
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@@ -3445,7 +3445,7 @@
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@@ -3457,7 +3457,7 @@
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@@ -3469,7 +3469,7 @@
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@@ -3485,7 +3485,7 @@
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@@ -3497,7 +3497,7 @@
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@@ -3509,7 +3509,7 @@
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@@ -3519,7 +3519,7 @@
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@@ -3531,7 +3531,7 @@
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@@ -3541,7 +3541,7 @@
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@@ -3553,7 +3553,7 @@
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@@ -3570,7 +3570,7 @@
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@@ -3582,7 +3582,7 @@
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@@ -3594,7 +3594,7 @@
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@@ -3604,7 +3604,7 @@
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     "editable": true
    },
@@ -3616,7 +3616,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "03640a32",
+   "id": "207f6e1a",
    "metadata": {
     "editable": true
    },
@@ -3626,7 +3626,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "11a4b7a0",
+   "id": "02584f63",
    "metadata": {
     "editable": true
    },
@@ -3638,7 +3638,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6096b821",
+   "id": "d493cd1f",
    "metadata": {
     "editable": true
    },
@@ -3648,7 +3648,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ccbe9bd",
+   "id": "d9e8a09b",
    "metadata": {
     "editable": true
    },
@@ -3660,7 +3660,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66516058",
+   "id": "d0a02f65",
    "metadata": {
     "editable": true
    },
@@ -3670,7 +3670,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "37724535",
+   "id": "2045b02f",
    "metadata": {
     "editable": true
    },
@@ -3685,7 +3685,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "444efcf1",
+   "id": "0adb3c9d",
    "metadata": {
     "editable": true
    },
@@ -3697,7 +3697,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3a947e38",
+   "id": "ca893163",
    "metadata": {
     "editable": true
    },
@@ -3707,7 +3707,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4c3a89bf",
+   "id": "873ca498",
    "metadata": {
     "editable": true
    },
@@ -3719,7 +3719,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44f15d3b",
+   "id": "f73c2649",
    "metadata": {
     "editable": true
    },
@@ -3731,7 +3731,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c312b98",
+   "id": "08489c8d",
    "metadata": {
     "editable": true
    },
@@ -3743,7 +3743,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "931f3cf5",
+   "id": "11e25a08",
    "metadata": {
     "editable": true
    },
@@ -3753,7 +3753,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e9dfe4c6",
+   "id": "2eac8387",
    "metadata": {
     "editable": true
    },
@@ -3765,7 +3765,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0147389",
+   "id": "3b52a609",
    "metadata": {
     "editable": true
    },
@@ -3777,7 +3777,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bcbbfa5",
+   "id": "68745c24",
    "metadata": {
     "editable": true
    },
@@ -3789,7 +3789,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a6a03d05",
+   "id": "c77b8b18",
    "metadata": {
     "editable": true
    },
@@ -3799,7 +3799,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2695711b",
+   "id": "f6454cc4",
    "metadata": {
     "editable": true
    },
@@ -3811,7 +3811,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81b71039",
+   "id": "7874a26a",
    "metadata": {
     "editable": true
    },
@@ -3821,7 +3821,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7670fd78",
+   "id": "539a5968",
    "metadata": {
     "editable": true
    },
@@ -3835,7 +3835,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "262c9a50",
+   "id": "b0cd5e30",
    "metadata": {
     "editable": true
    },
@@ -3845,7 +3845,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fefbfa72",
+   "id": "da1f1c65",
    "metadata": {
     "editable": true
    },
@@ -3857,7 +3857,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9c11ac68",
+   "id": "c30c1157",
    "metadata": {
     "editable": true
    },
@@ -3869,7 +3869,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d79bd1c3",
+   "id": "1fc75552",
    "metadata": {
     "editable": true
    },
@@ -3879,7 +3879,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed558c0f",
+   "id": "a955127d",
    "metadata": {
     "editable": true
    },
@@ -3891,7 +3891,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79c97ffb",
+   "id": "2c25c0fd",
    "metadata": {
     "editable": true
    },
@@ -3901,7 +3901,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bab9048c",
+   "id": "82979bed",
    "metadata": {
     "editable": true
    },
@@ -3913,7 +3913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ee03d6b",
+   "id": "ea2f8d9e",
    "metadata": {
     "editable": true
    },
@@ -3925,7 +3925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c3a847a",
+   "id": "198468c6",
    "metadata": {
     "editable": true
    },
@@ -3935,7 +3935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7123eede",
+   "id": "c54be5ed",
    "metadata": {
     "editable": true
    },
@@ -3947,7 +3947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "885738f3",
+   "id": "6413ac61",
    "metadata": {
     "editable": true
    },
@@ -3957,7 +3957,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f1a8776",
+   "id": "3fc6d520",
    "metadata": {
     "editable": true
    },
@@ -3969,7 +3969,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "307ade24",
+   "id": "97702dcd",
    "metadata": {
     "editable": true
    },
@@ -3981,7 +3981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ebcbe3c0",
+   "id": "44edbaef",
    "metadata": {
     "editable": true
    },
@@ -3991,7 +3991,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b0d2bd78",
+   "id": "22d02c34",
    "metadata": {
     "editable": true
    },
@@ -4003,7 +4003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eec95a93",
+   "id": "12cf8dc6",
    "metadata": {
     "editable": true
    },
@@ -4016,7 +4016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b0d9ff7c",
+   "id": "941de09b",
    "metadata": {
     "editable": true
    },
@@ -4028,7 +4028,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d70f63d",
+   "id": "715d1ede",
    "metadata": {
     "editable": true
    },
@@ -4040,7 +4040,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9c099416",
+   "id": "a0dd924b",
    "metadata": {
     "editable": true
    },
@@ -4052,7 +4052,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7521a8be",
+   "id": "dd40cb2f",
    "metadata": {
     "editable": true
    },
@@ -4062,7 +4062,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0a1de50",
+   "id": "f257ab54",
    "metadata": {
     "editable": true
    },
@@ -4074,7 +4074,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0f3fa02",
+   "id": "ceb84ba5",
    "metadata": {
     "editable": true
    },
@@ -4084,7 +4084,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "efe20da0",
+   "id": "d96cf277",
    "metadata": {
     "editable": true
    },
@@ -4096,7 +4096,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2bdc777",
+   "id": "27b2d9c9",
    "metadata": {
     "editable": true
    },
@@ -4106,7 +4106,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97b7c098",
+   "id": "d53c88da",
    "metadata": {
     "editable": true
    },
@@ -4118,7 +4118,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eea29ea0",
+   "id": "70a82067",
    "metadata": {
     "editable": true
    },
@@ -4128,7 +4128,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70bb1039",
+   "id": "cda36acb",
    "metadata": {
     "editable": true
    },
@@ -4141,7 +4141,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8be73409",
+   "id": "b2faac1c",
    "metadata": {
     "editable": true
    },
@@ -4153,7 +4153,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98eea821",
+   "id": "53192e1f",
    "metadata": {
     "editable": true
    },
@@ -4165,7 +4165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d33bc11",
+   "id": "67e7c28a",
    "metadata": {
     "editable": true
    },
@@ -4175,7 +4175,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29ae3d27",
+   "id": "fd95e257",
    "metadata": {
     "editable": true
    },
@@ -4187,7 +4187,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb4d05dd",
+   "id": "29547ea5",
    "metadata": {
     "editable": true
    },
@@ -4204,7 +4204,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fac04ae6",
+   "id": "bad8636d",
    "metadata": {
     "editable": true
    },
@@ -4216,7 +4216,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed0f6135",
+   "id": "35d9a208",
    "metadata": {
     "editable": true
    },
@@ -4228,7 +4228,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "493b2647",
+   "id": "b8251035",
    "metadata": {
     "editable": true
    },
@@ -4238,7 +4238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "358ed94a",
+   "id": "af16cca9",
    "metadata": {
     "editable": true
    },
@@ -4250,7 +4250,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd92e652",
+   "id": "96723ed8",
    "metadata": {
     "editable": true
    },
@@ -4260,7 +4260,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6644a693",
+   "id": "9a3b9a51",
    "metadata": {
     "editable": true
    },
@@ -4272,7 +4272,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd4b1ea8",
+   "id": "e21b3e4d",
    "metadata": {
     "editable": true
    },
@@ -4282,7 +4282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "534d6058",
+   "id": "b646e896",
    "metadata": {
     "editable": true
    },
@@ -4294,7 +4294,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a956657",
+   "id": "12c82826",
    "metadata": {
     "editable": true
    },
@@ -4304,7 +4304,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d10f3e8",
+   "id": "98d8fd18",
    "metadata": {
     "editable": true
    },
@@ -4319,7 +4319,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "b9e5e23d",
+   "id": "2d797bc4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4379,7 +4379,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3d0033b2",
+   "id": "9c8dcf60",
    "metadata": {
     "editable": true
    },
@@ -4389,7 +4389,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69c3f4fb",
+   "id": "9929cadc",
    "metadata": {
     "editable": true
    },
@@ -4400,7 +4400,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "ea2952f8",
+   "id": "2154c3ea",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4467,7 +4467,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d310ce5c",
+   "id": "24a50aa3",
    "metadata": {
     "editable": true
    },
@@ -4478,7 +4478,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "741ccab0",
+   "id": "5436f7d3",
    "metadata": {
     "collapsed": false,
     "editable": true
diff --git a/doc/LectureNotes/_build/jupyter_execute/week36.py b/doc/LectureNotes/_build/jupyter_execute/week36.py
index 19b6d2e43..95e8ea0bc 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week36.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week36.py
@@ -782,7 +782,7 @@ plt.show()
 # y_i\sim \mathcal{N}(\boldsymbol{X}_{i,*}\boldsymbol{\beta}, \sigma^2)=\frac{1}{\sqrt{2\pi\sigma^2}}\exp{\left[-\frac{(y_i-\boldsymbol{X}_{i,*}\boldsymbol{\beta})^2}{2\sigma^2}\right]}.
 # $$
 
-# ## Independent and Identically Distrubuted (iid)
+# ## Independent and Identically Distributed (iid)
 # 
 # We assume now that the various $y_i$ values are stochastically distributed according to the above Gaussian distribution. 
 # We define this distribution as
diff --git a/doc/LectureNotes/week36.ipynb b/doc/LectureNotes/week36.ipynb
index cf0f5ebbd..ce8118002 100644
--- a/doc/LectureNotes/week36.ipynb
+++ b/doc/LectureNotes/week36.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "2427fbe5",
+   "id": "66ea8ed4",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98caf851",
+   "id": "79ce282c",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "489a527a",
+   "id": "ed85c38c",
    "metadata": {
     "editable": true
    },
@@ -57,7 +57,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe23e7aa",
+   "id": "faf98f14",
    "metadata": {
     "editable": true
    },
@@ -67,7 +67,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50c6fe19",
+   "id": "203d6afa",
    "metadata": {
     "editable": true
    },
@@ -124,7 +124,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "c7526e0f",
+   "id": "e3f345b9",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -151,7 +151,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf3347b3",
+   "id": "d382904b",
    "metadata": {
     "editable": true
    },
@@ -165,7 +165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db92ee91",
+   "id": "9a2d4217",
    "metadata": {
     "editable": true
    },
@@ -177,7 +177,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4deb318",
+   "id": "1963de4b",
    "metadata": {
     "editable": true
    },
@@ -194,7 +194,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "566b33c0",
+   "id": "09a545ff",
    "metadata": {
     "editable": true
    },
@@ -206,7 +206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5852f18d",
+   "id": "6384894b",
    "metadata": {
     "editable": true
    },
@@ -216,7 +216,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "49ab6c0e",
+   "id": "b72ca042",
    "metadata": {
     "editable": true
    },
@@ -228,7 +228,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5492504c",
+   "id": "b193f08c",
    "metadata": {
     "editable": true
    },
@@ -238,7 +238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2c288e3",
+   "id": "d05df72f",
    "metadata": {
     "editable": true
    },
@@ -250,7 +250,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "363e9584",
+   "id": "708ab439",
    "metadata": {
     "editable": true
    },
@@ -261,7 +261,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3517358f",
+   "id": "bfc8322f",
    "metadata": {
     "editable": true
    },
@@ -273,7 +273,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63d61744",
+   "id": "ea8a6fa5",
    "metadata": {
     "editable": true
    },
@@ -283,7 +283,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29de0897",
+   "id": "db3ef9e5",
    "metadata": {
     "editable": true
    },
@@ -295,7 +295,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0876b29",
+   "id": "0fcdc688",
    "metadata": {
     "editable": true
    },
@@ -305,7 +305,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7cbe066d",
+   "id": "3e7f32ff",
    "metadata": {
     "editable": true
    },
@@ -317,7 +317,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f37257b",
+   "id": "5803cedf",
    "metadata": {
     "editable": true
    },
@@ -327,7 +327,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5eebbb8b",
+   "id": "884ca2e2",
    "metadata": {
     "editable": true
    },
@@ -339,7 +339,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9dbc778a",
+   "id": "633c4189",
    "metadata": {
     "editable": true
    },
@@ -349,7 +349,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d89c4a7",
+   "id": "1c60b743",
    "metadata": {
     "editable": true
    },
@@ -361,7 +361,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ba588dd",
+   "id": "cb3025b6",
    "metadata": {
     "editable": true
    },
@@ -371,7 +371,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "286802be",
+   "id": "01d272fc",
    "metadata": {
     "editable": true
    },
@@ -383,7 +383,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "240b1816",
+   "id": "794acece",
    "metadata": {
     "editable": true
    },
@@ -393,7 +393,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c73a03f8",
+   "id": "997ab0ab",
    "metadata": {
     "editable": true
    },
@@ -405,7 +405,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6f2042af",
+   "id": "952c8b2c",
    "metadata": {
     "editable": true
    },
@@ -415,7 +415,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb5219f8",
+   "id": "08835cf9",
    "metadata": {
     "editable": true
    },
@@ -427,7 +427,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1b5d1bb",
+   "id": "416bf355",
    "metadata": {
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@@ -439,7 +439,7 @@
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+   "id": "c37bccef",
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@@ -451,7 +451,7 @@
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@@ -461,7 +461,7 @@
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@@ -473,7 +473,7 @@
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@@ -486,7 +486,7 @@
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@@ -498,7 +498,7 @@
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@@ -512,7 +512,7 @@
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@@ -611,7 +611,7 @@
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@@ -632,7 +632,7 @@
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@@ -644,7 +644,7 @@
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+   "id": "b6d9edc5",
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@@ -654,7 +654,7 @@
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-   "id": "49549abd",
+   "id": "95b2e91e",
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@@ -666,7 +666,7 @@
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@@ -676,7 +676,7 @@
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@@ -688,7 +688,7 @@
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@@ -706,7 +706,7 @@
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@@ -782,7 +782,7 @@
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@@ -796,7 +796,7 @@
   {
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-   "id": "010aa01a",
+   "id": "a0ae3089",
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@@ -885,7 +885,7 @@
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@@ -900,7 +900,7 @@
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@@ -926,7 +926,7 @@
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-   "id": "15f44a9d",
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@@ -999,7 +999,7 @@
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+   "id": "ab2848a3",
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@@ -1009,7 +1009,7 @@
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@@ -1038,7 +1038,7 @@
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@@ -1054,7 +1054,7 @@
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@@ -1073,7 +1073,7 @@
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@@ -1087,7 +1087,7 @@
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@@ -1099,7 +1099,7 @@
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@@ -1110,7 +1110,7 @@
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@@ -1122,7 +1122,7 @@
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@@ -1134,7 +1134,7 @@
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@@ -1150,7 +1150,7 @@
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@@ -1161,7 +1161,7 @@
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@@ -1184,7 +1184,7 @@
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@@ -1195,7 +1195,7 @@
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@@ -1207,7 +1207,7 @@
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@@ -1219,7 +1219,7 @@
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@@ -1233,7 +1233,7 @@
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@@ -1264,7 +1264,7 @@
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@@ -1286,7 +1286,7 @@
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@@ -1298,7 +1298,7 @@
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@@ -1311,7 +1311,7 @@
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@@ -1323,7 +1323,7 @@
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@@ -1335,7 +1335,7 @@
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@@ -1347,7 +1347,7 @@
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@@ -1359,7 +1359,7 @@
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@@ -1382,7 +1382,7 @@
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@@ -1394,12 +1394,12 @@
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    "source": [
-    "## Independent and Identically Distrubuted (iid)\n",
+    "## Independent and Identically Distributed (iid)\n",
     "\n",
     "We assume now that the various $y_i$ values are stochastically distributed according to the above Gaussian distribution. \n",
     "We define this distribution as"
@@ -1407,7 +1407,7 @@
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@@ -1419,7 +1419,7 @@
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@@ -1431,7 +1431,7 @@
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@@ -1454,7 +1454,7 @@
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@@ -1466,7 +1466,7 @@
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@@ -1477,7 +1477,7 @@
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@@ -1489,7 +1489,7 @@
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@@ -1499,7 +1499,7 @@
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@@ -1530,7 +1530,7 @@
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@@ -1542,7 +1542,7 @@
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@@ -1564,7 +1564,7 @@
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@@ -1598,7 +1598,7 @@
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@@ -1608,7 +1608,7 @@
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@@ -1620,7 +1620,7 @@
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@@ -1630,7 +1630,7 @@
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@@ -1672,7 +1672,7 @@
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@@ -1684,7 +1684,7 @@
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@@ -1696,7 +1696,7 @@
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@@ -1708,7 +1708,7 @@
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@@ -1720,7 +1720,7 @@
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@@ -1732,7 +1732,7 @@
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@@ -1744,7 +1744,7 @@
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@@ -1756,7 +1756,7 @@
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@@ -1768,7 +1768,7 @@
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@@ -1778,7 +1778,7 @@
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@@ -1790,7 +1790,7 @@
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@@ -1800,7 +1800,7 @@
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@@ -1819,7 +1819,7 @@
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@@ -1840,7 +1840,7 @@
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@@ -1852,7 +1852,7 @@
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+   "id": "e31dfe4b",
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@@ -1863,7 +1863,7 @@
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+   "id": "cb4db137",
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@@ -1876,7 +1876,7 @@
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+   "id": "8b391eda",
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@@ -1888,7 +1888,7 @@
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@@ -1898,7 +1898,7 @@
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@@ -1910,7 +1910,7 @@
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@@ -1920,7 +1920,7 @@
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@@ -1932,7 +1932,7 @@
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@@ -1942,7 +1942,7 @@
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+   "id": "88ef6911",
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@@ -1956,7 +1956,7 @@
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-   "id": "63c098bd",
+   "id": "ba0657c3",
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@@ -1968,7 +1968,7 @@
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-   "id": "edcc26ce",
+   "id": "f8aa4829",
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@@ -1978,7 +1978,7 @@
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+   "id": "52adbfd2",
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@@ -1990,7 +1990,7 @@
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@@ -2000,7 +2000,7 @@
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@@ -2012,7 +2012,7 @@
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@@ -2022,7 +2022,7 @@
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@@ -2034,7 +2034,7 @@
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@@ -2044,7 +2044,7 @@
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@@ -2060,7 +2060,7 @@
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@@ -2072,7 +2072,7 @@
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@@ -2082,7 +2082,7 @@
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@@ -2107,7 +2107,7 @@
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@@ -2119,7 +2119,7 @@
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@@ -2129,7 +2129,7 @@
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@@ -2141,7 +2141,7 @@
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@@ -2151,7 +2151,7 @@
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@@ -2163,7 +2163,7 @@
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@@ -2175,7 +2175,7 @@
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@@ -2185,7 +2185,7 @@
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@@ -2197,7 +2197,7 @@
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@@ -2209,7 +2209,7 @@
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@@ -2221,7 +2221,7 @@
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@@ -2231,7 +2231,7 @@
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@@ -2243,7 +2243,7 @@
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@@ -2253,7 +2253,7 @@
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@@ -2265,7 +2265,7 @@
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@@ -2277,7 +2277,7 @@
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@@ -2289,7 +2289,7 @@
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@@ -2299,7 +2299,7 @@
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@@ -2311,7 +2311,7 @@
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@@ -2321,7 +2321,7 @@
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@@ -2338,7 +2338,7 @@
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@@ -2348,7 +2348,7 @@
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@@ -2360,7 +2360,7 @@
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@@ -2370,7 +2370,7 @@
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@@ -2382,7 +2382,7 @@
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@@ -2396,7 +2396,7 @@
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@@ -2408,7 +2408,7 @@
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@@ -2430,7 +2430,7 @@
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@@ -2442,7 +2442,7 @@
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@@ -2457,7 +2457,7 @@
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@@ -2469,7 +2469,7 @@
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@@ -2481,7 +2481,7 @@
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@@ -2491,7 +2491,7 @@
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@@ -2503,7 +2503,7 @@
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@@ -2513,7 +2513,7 @@
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@@ -2525,7 +2525,7 @@
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@@ -2535,7 +2535,7 @@
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@@ -2547,7 +2547,7 @@
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@@ -2564,7 +2564,7 @@
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@@ -2578,7 +2578,7 @@
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@@ -2592,7 +2592,7 @@
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@@ -2603,7 +2603,7 @@
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@@ -2643,7 +2643,7 @@
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@@ -2663,7 +2663,7 @@
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@@ -2675,7 +2675,7 @@
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@@ -2686,7 +2686,7 @@
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@@ -2720,7 +2720,7 @@
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@@ -2730,7 +2730,7 @@
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@@ -2743,7 +2743,7 @@
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@@ -2755,7 +2755,7 @@
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@@ -2765,7 +2765,7 @@
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@@ -2778,7 +2778,7 @@
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@@ -2788,7 +2788,7 @@
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@@ -2800,7 +2800,7 @@
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@@ -2815,7 +2815,7 @@
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@@ -2828,7 +2828,7 @@
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@@ -2842,7 +2842,7 @@
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@@ -2854,7 +2854,7 @@
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@@ -2864,7 +2864,7 @@
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@@ -2877,7 +2877,7 @@
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@@ -2889,7 +2889,7 @@
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@@ -2901,7 +2901,7 @@
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@@ -2913,7 +2913,7 @@
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@@ -2925,7 +2925,7 @@
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@@ -2939,7 +2939,7 @@
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@@ -2951,7 +2951,7 @@
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@@ -2961,7 +2961,7 @@
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@@ -2973,7 +2973,7 @@
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@@ -2983,7 +2983,7 @@
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@@ -2995,7 +2995,7 @@
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@@ -3007,7 +3007,7 @@
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@@ -3017,7 +3017,7 @@
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@@ -3028,7 +3028,7 @@
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@@ -3040,7 +3040,7 @@
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@@ -3056,7 +3056,7 @@
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@@ -3069,7 +3069,7 @@
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@@ -3081,7 +3081,7 @@
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@@ -3091,7 +3091,7 @@
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@@ -3103,7 +3103,7 @@
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@@ -3113,7 +3113,7 @@
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@@ -3125,7 +3125,7 @@
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@@ -3137,7 +3137,7 @@
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@@ -3153,7 +3153,7 @@
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@@ -3165,7 +3165,7 @@
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@@ -3177,7 +3177,7 @@
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@@ -3187,7 +3187,7 @@
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@@ -3199,7 +3199,7 @@
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@@ -3209,7 +3209,7 @@
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@@ -3221,7 +3221,7 @@
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@@ -3238,7 +3238,7 @@
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@@ -3250,7 +3250,7 @@
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@@ -3262,7 +3262,7 @@
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@@ -3272,7 +3272,7 @@
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@@ -3284,7 +3284,7 @@
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@@ -3294,7 +3294,7 @@
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@@ -3306,7 +3306,7 @@
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@@ -3316,7 +3316,7 @@
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@@ -3328,7 +3328,7 @@
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@@ -3338,7 +3338,7 @@
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@@ -3353,7 +3353,7 @@
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@@ -3365,7 +3365,7 @@
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@@ -3375,7 +3375,7 @@
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@@ -3387,7 +3387,7 @@
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@@ -3399,7 +3399,7 @@
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@@ -3411,7 +3411,7 @@
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@@ -3421,7 +3421,7 @@
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@@ -3433,7 +3433,7 @@
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@@ -3445,7 +3445,7 @@
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@@ -3457,7 +3457,7 @@
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@@ -3467,7 +3467,7 @@
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@@ -3479,7 +3479,7 @@
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@@ -3489,7 +3489,7 @@
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@@ -3503,7 +3503,7 @@
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@@ -3513,7 +3513,7 @@
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@@ -3525,7 +3525,7 @@
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@@ -3537,7 +3537,7 @@
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@@ -3547,7 +3547,7 @@
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@@ -3559,7 +3559,7 @@
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@@ -3569,7 +3569,7 @@
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@@ -3581,7 +3581,7 @@
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@@ -3593,7 +3593,7 @@
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@@ -3603,7 +3603,7 @@
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@@ -3615,7 +3615,7 @@
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@@ -3625,7 +3625,7 @@
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@@ -3637,7 +3637,7 @@
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@@ -3649,7 +3649,7 @@
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@@ -3659,7 +3659,7 @@
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@@ -3671,7 +3671,7 @@
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@@ -3684,7 +3684,7 @@
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@@ -3696,7 +3696,7 @@
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@@ -3708,7 +3708,7 @@
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@@ -3720,7 +3720,7 @@
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@@ -3730,7 +3730,7 @@
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@@ -3742,7 +3742,7 @@
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@@ -3752,7 +3752,7 @@
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@@ -3764,7 +3764,7 @@
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@@ -3774,7 +3774,7 @@
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@@ -3786,7 +3786,7 @@
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@@ -3796,7 +3796,7 @@
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@@ -3809,7 +3809,7 @@
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@@ -3821,7 +3821,7 @@
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@@ -3833,7 +3833,7 @@
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@@ -3843,7 +3843,7 @@
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@@ -3855,7 +3855,7 @@
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@@ -3872,7 +3872,7 @@
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@@ -3884,7 +3884,7 @@
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@@ -3896,7 +3896,7 @@
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@@ -3906,7 +3906,7 @@
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@@ -3918,7 +3918,7 @@
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@@ -3928,7 +3928,7 @@
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@@ -3940,7 +3940,7 @@
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@@ -3950,7 +3950,7 @@
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@@ -3962,7 +3962,7 @@
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@@ -3972,7 +3972,7 @@
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@@ -3987,7 +3987,7 @@
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@@ -4047,7 +4047,7 @@
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@@ -4057,7 +4057,7 @@
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@@ -4068,7 +4068,7 @@
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@@ -4135,7 +4135,7 @@
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@@ -4146,7 +4146,7 @@
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