From 1797d887215bc61107760ed6e648a727c87b29e0 Mon Sep 17 00:00:00 2001
From: Morten Hjorth-Jensen <morten.hjorth-jensen@fys.uio.no>
Date: Mon, 19 Aug 2024 06:33:12 +0200
Subject: [PATCH] update

---
 .../_build/.doctrees/environment.pickle       | Bin 266973 -> 267044 bytes
 .../_build/.doctrees/week34.doctree           | Bin 534891 -> 534214 bytes
 .../_build/html/_sources/week34.ipynb         | 628 ++++++++--------
 .../_build/html/reports/week34.log            |   2 +-
 doc/LectureNotes/_build/html/searchindex.js   |   2 +-
 doc/LectureNotes/_build/html/week34.html      |  91 ++-
 .../_build/jupyter_execute/week34.ipynb       | 688 +++++++++---------
 .../_build/jupyter_execute/week34.py          |  12 +-
 doc/LectureNotes/week34.ipynb                 | 628 ++++++++--------
 9 files changed, 1021 insertions(+), 1030 deletions(-)

diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle
index 7c5c3ac397701efed8bf32a37e2ca81418e1cff8..638ec1a32fef9333ef4add2256e8995a7955948c 100644
GIT binary patch
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diff --git a/doc/LectureNotes/_build/html/_sources/week34.ipynb b/doc/LectureNotes/_build/html/_sources/week34.ipynb
index 08d8159c8..9de607905 100644
--- a/doc/LectureNotes/_build/html/_sources/week34.ipynb
+++ b/doc/LectureNotes/_build/html/_sources/week34.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "e68d0f91",
+   "id": "3e71c3ed",
    "metadata": {
     "editable": true
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@@ -14,7 +14,7 @@
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   {
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-   "id": "919216dd",
+   "id": "45b52799",
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@@ -27,7 +27,7 @@
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-   "id": "d990119b",
+   "id": "ef4cb19e",
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@@ -53,7 +53,7 @@
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-   "id": "12fb6433",
+   "id": "1e6b1300",
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@@ -69,7 +69,7 @@
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+   "id": "31d1f84c",
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@@ -93,7 +93,7 @@
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-   "id": "7b62d5a2",
+   "id": "53b48ed9",
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@@ -102,12 +102,12 @@
     "\n",
     "* Communications (email and more) via <canvas.uio.no>\n",
     "\n",
-    "* **Discord** channel at <https://discord.gg/hAaBRWFT72>"
+    "* **Discord** channel at <https://discord.gg/XBKjd4ccGq>"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "6b3a4a81",
+   "id": "b14cbd93",
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@@ -129,7 +129,7 @@
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-   "id": "afc67709",
+   "id": "d9cab2bb",
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@@ -159,7 +159,7 @@
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-   "id": "bbd60b9c",
+   "id": "b7eb2935",
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@@ -177,7 +177,7 @@
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+   "id": "3b3ac4d2",
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@@ -205,7 +205,7 @@
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-   "id": "cabba75a",
+   "id": "c98a488d",
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@@ -223,7 +223,7 @@
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+   "id": "8bd55d29",
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@@ -240,7 +240,7 @@
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+   "id": "ff004362",
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@@ -264,7 +264,7 @@
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-   "id": "2f254181",
+   "id": "dc1e0ada",
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@@ -276,7 +276,7 @@
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-   "id": "a482f843",
+   "id": "2c27fef6",
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@@ -296,7 +296,7 @@
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-   "id": "1bfd35e8",
+   "id": "9b95a77b",
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@@ -314,7 +314,7 @@
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+   "id": "40dfedc0",
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@@ -339,7 +339,7 @@
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@@ -361,7 +361,7 @@
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@@ -385,7 +385,7 @@
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@@ -401,7 +401,7 @@
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@@ -423,7 +423,7 @@
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+   "id": "9f5ffd20",
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@@ -441,7 +441,7 @@
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+   "id": "b4ca04fe",
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@@ -471,7 +471,7 @@
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@@ -500,7 +500,7 @@
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@@ -518,7 +518,7 @@
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@@ -565,7 +565,7 @@
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@@ -595,7 +595,7 @@
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@@ -626,7 +626,7 @@
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+   "id": "4cca3e62",
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@@ -665,7 +665,7 @@
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-   "id": "43ad2d3a",
+   "id": "848f89b3",
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@@ -698,7 +698,7 @@
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+   "id": "30bb69ca",
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@@ -735,7 +735,7 @@
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@@ -759,7 +759,7 @@
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+   "id": "aaeda8ee",
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@@ -786,7 +786,7 @@
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@@ -796,7 +796,7 @@
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+   "id": "3cc76f8f",
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@@ -808,7 +808,7 @@
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+   "id": "9186c180",
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@@ -829,7 +829,7 @@
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@@ -841,7 +841,7 @@
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-   "id": "c8cbf8e5",
+   "id": "f4ba7a28",
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@@ -853,7 +853,7 @@
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@@ -864,7 +864,7 @@
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-   "id": "e6fed93a",
+   "id": "e7a41329",
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@@ -878,7 +878,7 @@
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   {
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+   "id": "269bd917",
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@@ -890,7 +890,7 @@
   {
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    "execution_count": 3,
-   "id": "03351553",
+   "id": "a44ab51e",
    "metadata": {
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@@ -904,7 +904,7 @@
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+   "id": "3365c5f4",
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@@ -916,7 +916,7 @@
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-   "id": "7d547fee",
+   "id": "e7fe287c",
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@@ -930,7 +930,7 @@
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+   "id": "edbfa557",
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@@ -947,7 +947,7 @@
   {
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-   "id": "a1410010",
+   "id": "66aa46db",
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@@ -964,7 +964,7 @@
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+   "id": "618daef7",
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@@ -976,7 +976,7 @@
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-   "id": "b2baed9c",
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@@ -990,7 +990,7 @@
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@@ -1001,7 +1001,7 @@
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@@ -1015,7 +1015,7 @@
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+   "id": "34db27b7",
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@@ -1026,7 +1026,7 @@
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@@ -1040,7 +1040,7 @@
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@@ -1055,7 +1055,7 @@
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    "execution_count": 9,
-   "id": "f54969e9",
+   "id": "511aad98",
    "metadata": {
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@@ -1069,7 +1069,7 @@
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   {
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-   "id": "3ffdc5bb",
+   "id": "1b13f1f5",
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@@ -1080,7 +1080,7 @@
   {
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-   "id": "c517dc95",
+   "id": "727497fc",
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@@ -1095,7 +1095,7 @@
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-   "id": "1aced303",
+   "id": "5340edcf",
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@@ -1106,7 +1106,7 @@
   {
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    "execution_count": 11,
-   "id": "32efbfb2",
+   "id": "b02f087b",
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@@ -1121,7 +1121,7 @@
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+   "id": "08a1816a",
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@@ -1132,7 +1132,7 @@
   {
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    "execution_count": 12,
-   "id": "fcebfe97",
+   "id": "65630355",
    "metadata": {
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     "editable": true
@@ -1148,7 +1148,7 @@
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   {
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+   "id": "2d900153",
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@@ -1159,7 +1159,7 @@
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-   "id": "8c8edcaf",
+   "id": "eb73a41d",
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@@ -1175,7 +1175,7 @@
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   {
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+   "id": "475d032f",
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@@ -1186,7 +1186,7 @@
   {
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    "execution_count": 14,
-   "id": "85c9a904",
+   "id": "75e1338a",
    "metadata": {
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     "editable": true
@@ -1202,7 +1202,7 @@
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   {
    "cell_type": "markdown",
-   "id": "15700c5c",
+   "id": "569d5c0b",
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@@ -1214,7 +1214,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5d413f6",
+   "id": "7843e50f",
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@@ -1229,7 +1229,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81f680dd",
+   "id": "644713ca",
    "metadata": {
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@@ -1239,7 +1239,7 @@
   },
   {
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-   "id": "17c5a1bf",
+   "id": "416f7608",
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@@ -1251,7 +1251,7 @@
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   {
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+   "id": "4219192a",
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@@ -1262,7 +1262,7 @@
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+   "id": "4f5643f8",
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@@ -1277,7 +1277,7 @@
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+   "id": "f6584cf1",
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@@ -1292,7 +1292,7 @@
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-   "id": "6c2c0ee5",
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@@ -1319,7 +1319,7 @@
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-   "id": "cbe79e57",
+   "id": "5ad697d4",
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@@ -1343,7 +1343,7 @@
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@@ -1369,7 +1369,7 @@
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-   "id": "8789f2ba",
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@@ -1389,7 +1389,7 @@
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@@ -1403,7 +1403,7 @@
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@@ -1416,7 +1416,7 @@
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@@ -1427,7 +1427,7 @@
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-   "id": "5b7e1c04",
+   "id": "b3814c6d",
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@@ -1439,7 +1439,7 @@
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@@ -1450,7 +1450,7 @@
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-   "id": "190b1a89",
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@@ -1468,7 +1468,7 @@
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+   "id": "d9385413",
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@@ -1480,7 +1480,7 @@
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-   "id": "cb5f7e36",
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@@ -1504,7 +1504,7 @@
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@@ -1515,7 +1515,7 @@
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-   "id": "6754efdc",
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@@ -1544,7 +1544,7 @@
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@@ -1555,7 +1555,7 @@
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-   "id": "4069afcc",
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@@ -1570,7 +1570,7 @@
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@@ -1587,7 +1587,19 @@
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-   "id": "ff884c05",
+   "id": "d458b4bc",
+   "metadata": {
+    "editable": true
+   },
+   "source": [
+    "## Pandas AI\n",
+    "\n",
+    "Try out [Pandas AI](https://pandas-ai.com/)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f9520546",
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@@ -1618,7 +1630,7 @@
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@@ -1630,7 +1642,7 @@
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@@ -1658,7 +1670,7 @@
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@@ -1688,7 +1700,7 @@
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@@ -1705,7 +1717,7 @@
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@@ -1717,7 +1729,7 @@
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@@ -1738,7 +1750,7 @@
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@@ -1751,7 +1763,7 @@
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@@ -1782,7 +1794,7 @@
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@@ -1794,7 +1806,7 @@
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@@ -1812,7 +1824,7 @@
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-   "id": "7a17d6fe",
+   "id": "8f20f97a",
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@@ -1839,7 +1851,7 @@
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@@ -1861,7 +1873,7 @@
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-   "id": "a5e9ee5a",
+   "id": "85fe3b38",
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@@ -1899,7 +1911,7 @@
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+   "id": "c5340def",
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@@ -1910,7 +1922,7 @@
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-   "id": "97da0991",
+   "id": "83e89ce5",
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@@ -1923,7 +1935,7 @@
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-   "id": "6664f912",
+   "id": "05a2a70c",
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@@ -1944,7 +1956,7 @@
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+   "id": "edfe1145",
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@@ -1956,7 +1968,7 @@
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   {
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+   "id": "b63b854d",
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@@ -1966,7 +1978,7 @@
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+   "id": "b72ca737",
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@@ -1978,7 +1990,7 @@
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+   "id": "da0dd094",
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@@ -1990,7 +2002,7 @@
   },
   {
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-   "id": "7d365176",
+   "id": "55ad6e1f",
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@@ -2002,7 +2014,7 @@
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+   "id": "307edc23",
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@@ -2013,7 +2025,7 @@
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+   "id": "ddcee8d8",
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@@ -2025,7 +2037,7 @@
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-   "id": "049e0384",
+   "id": "a4aa116d",
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@@ -2047,7 +2059,7 @@
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+   "id": "91b0a8f6",
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@@ -2059,7 +2071,7 @@
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+   "id": "6a89433e",
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@@ -2072,7 +2084,7 @@
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+   "id": "8e9db463",
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@@ -2089,7 +2101,7 @@
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+   "id": "322bc071",
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@@ -2101,7 +2113,7 @@
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-   "id": "12c6c509",
+   "id": "02864f30",
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@@ -2111,7 +2123,7 @@
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+   "id": "75d42c9b",
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@@ -2123,7 +2135,7 @@
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-   "id": "f1aec311",
+   "id": "9cd70ab7",
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@@ -2133,7 +2145,7 @@
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   {
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-   "id": "3f4f90ea",
+   "id": "b10d687a",
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@@ -2145,7 +2157,7 @@
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+   "id": "fadb16df",
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@@ -2155,7 +2167,7 @@
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   {
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-   "id": "b3efd5ad",
+   "id": "a784290a",
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@@ -2167,7 +2179,7 @@
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   {
    "cell_type": "markdown",
-   "id": "a6d81840",
+   "id": "0eac8891",
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@@ -2183,7 +2195,7 @@
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   {
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-   "id": "f69f2188",
+   "id": "7e0f7c9c",
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@@ -2195,7 +2207,7 @@
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-   "id": "cf70b128",
+   "id": "2cb53b2f",
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@@ -2206,7 +2218,7 @@
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   {
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-   "id": "4bfa00ef",
+   "id": "baad681e",
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@@ -2218,7 +2230,7 @@
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+   "id": "14445fea",
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@@ -2232,7 +2244,7 @@
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-   "id": "cc94773e",
+   "id": "24e60de2",
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@@ -2244,7 +2256,7 @@
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-   "id": "48a29815",
+   "id": "32c6b631",
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@@ -2269,7 +2281,7 @@
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+   "id": "7f3d9e7f",
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@@ -2286,7 +2298,7 @@
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-   "id": "57ce58c1",
+   "id": "efbc8ac7",
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     "editable": true
@@ -2330,7 +2342,7 @@
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-   "id": "856d936e",
+   "id": "06c59468",
    "metadata": {
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@@ -2341,7 +2353,7 @@
   {
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    "execution_count": 28,
-   "id": "f00c1cc8",
+   "id": "0ae452a1",
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@@ -2363,7 +2375,7 @@
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+   "id": "f2d085b5",
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@@ -2380,7 +2392,7 @@
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-   "id": "c00626c0",
+   "id": "dc9112d2",
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@@ -2401,7 +2413,7 @@
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@@ -2415,7 +2427,7 @@
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@@ -2444,7 +2456,7 @@
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@@ -2464,7 +2476,7 @@
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@@ -2481,7 +2493,7 @@
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@@ -2493,7 +2505,7 @@
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@@ -2511,7 +2523,7 @@
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@@ -2522,7 +2534,7 @@
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@@ -2535,7 +2547,7 @@
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@@ -2547,7 +2559,7 @@
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@@ -2578,7 +2590,7 @@
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@@ -2592,7 +2604,7 @@
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@@ -2637,7 +2649,7 @@
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@@ -2657,7 +2669,7 @@
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@@ -2689,7 +2701,7 @@
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@@ -2711,7 +2723,7 @@
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@@ -2739,7 +2751,7 @@
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@@ -2754,7 +2766,7 @@
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@@ -2766,7 +2778,7 @@
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@@ -2781,7 +2793,7 @@
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@@ -2794,7 +2806,7 @@
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@@ -2806,7 +2818,7 @@
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@@ -2816,7 +2828,7 @@
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@@ -2827,7 +2839,7 @@
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@@ -2845,7 +2857,7 @@
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@@ -2856,7 +2868,7 @@
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@@ -2868,7 +2880,7 @@
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@@ -2878,7 +2890,7 @@
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@@ -2890,7 +2902,7 @@
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@@ -2900,7 +2912,7 @@
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@@ -2912,7 +2924,7 @@
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@@ -2922,7 +2934,7 @@
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@@ -2941,7 +2953,7 @@
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@@ -2951,7 +2963,7 @@
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@@ -2963,7 +2975,7 @@
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@@ -2973,7 +2985,7 @@
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@@ -2989,7 +3001,7 @@
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@@ -3009,7 +3021,7 @@
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@@ -3019,7 +3031,7 @@
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@@ -3030,7 +3042,7 @@
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@@ -3049,7 +3061,7 @@
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@@ -3059,7 +3071,7 @@
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@@ -3071,7 +3083,7 @@
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@@ -3081,7 +3093,7 @@
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@@ -3092,7 +3104,7 @@
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@@ -3112,7 +3124,7 @@
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@@ -3124,7 +3136,7 @@
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@@ -3139,7 +3151,7 @@
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@@ -3219,7 +3231,7 @@
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@@ -3229,7 +3241,7 @@
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@@ -3241,7 +3253,7 @@
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@@ -3251,7 +3263,7 @@
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@@ -3262,7 +3274,7 @@
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@@ -3274,7 +3286,7 @@
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@@ -3284,7 +3296,7 @@
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@@ -3296,7 +3308,7 @@
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@@ -3306,7 +3318,7 @@
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@@ -3318,7 +3330,7 @@
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@@ -3331,7 +3343,7 @@
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@@ -3343,7 +3355,7 @@
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@@ -3353,7 +3365,7 @@
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@@ -3365,7 +3377,7 @@
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@@ -3377,7 +3389,7 @@
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@@ -3388,7 +3400,7 @@
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@@ -3400,7 +3412,7 @@
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@@ -3419,7 +3431,7 @@
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@@ -3432,7 +3444,7 @@
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@@ -3442,7 +3454,7 @@
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@@ -3454,7 +3466,7 @@
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@@ -3464,7 +3476,7 @@
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@@ -3476,7 +3488,7 @@
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@@ -3486,7 +3498,7 @@
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@@ -3498,7 +3510,7 @@
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@@ -3509,7 +3521,7 @@
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@@ -3521,7 +3533,7 @@
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@@ -3531,7 +3543,7 @@
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@@ -3543,7 +3555,7 @@
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@@ -3553,7 +3565,7 @@
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@@ -3565,7 +3577,7 @@
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@@ -3586,21 +3598,7 @@
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-   "id": "485307ed",
-   "metadata": {
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-   },
-   "source": [
-    "## Some useful matrix and vector expressions\n",
-    "\n",
-    "See the handwritten notes at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2022/NotesExercise5Week452022.pdf>\n",
-    "\n",
-    "These notes will be discussed during one of the lectures."
-   ]
-  },
-  {
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+   "id": "ca00624d",
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@@ -3611,7 +3609,7 @@
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@@ -3623,7 +3621,7 @@
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@@ -3633,7 +3631,7 @@
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@@ -3645,7 +3643,7 @@
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@@ -3655,7 +3653,7 @@
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@@ -3667,7 +3665,7 @@
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@@ -3679,7 +3677,7 @@
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@@ -3693,7 +3691,7 @@
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-   "id": "87fb9b2a",
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@@ -3708,7 +3706,7 @@
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@@ -3719,7 +3717,7 @@
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@@ -3732,7 +3730,7 @@
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@@ -3743,7 +3741,7 @@
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@@ -3766,7 +3764,7 @@
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@@ -3780,7 +3778,7 @@
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@@ -3793,7 +3791,7 @@
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@@ -3804,7 +3802,7 @@
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@@ -3816,7 +3814,7 @@
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@@ -3827,7 +3825,7 @@
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diff --git a/doc/LectureNotes/_build/html/reports/week34.log b/doc/LectureNotes/_build/html/reports/week34.log
index ff3f0a15f..191298371 100644
--- a/doc/LectureNotes/_build/html/reports/week34.log
+++ b/doc/LectureNotes/_build/html/reports/week34.log
@@ -28,7 +28,7 @@ display(data_pandas)
 
 ---------------------------------------------------------------------------
 AttributeError                            Traceback (most recent call last)
-/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_12649/1326197715.py in ?()
+/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_15329/1326197715.py in ?()
 ----> 6 new_hobbit = {'First Name': ["Peregrin"],
       7               'Last Name': ["Took"],
       8               'Place of birth': ["Shire"],
diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js
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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","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 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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","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 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\ No newline at end of file
diff --git a/doc/LectureNotes/_build/html/week34.html b/doc/LectureNotes/_build/html/week34.html
index fe5ab228f..68d1bf58b 100644
--- a/doc/LectureNotes/_build/html/week34.html
+++ b/doc/LectureNotes/_build/html/week34.html
@@ -518,6 +518,11 @@ const thebe_selector_output = ".output, .cell_output"
   <a class="reference internal nav-link" href="#meet-the-pandas">
    Meet the Pandas
   </a>
+ </li>
+ <li class="toc-h2 nav-item toc-entry">
+  <a class="reference internal nav-link" href="#pandas-ai">
+   Pandas AI
+  </a>
   <ul class="nav section-nav flex-column">
    <li class="toc-h3 nav-item toc-entry">
     <a class="reference internal nav-link" href="#simple-linear-regression-model-using-scikit-learn">
@@ -619,11 +624,6 @@ const thebe_selector_output = ".output, .cell_output"
    Interpretations and optimizing our parameters
   </a>
  </li>
- <li class="toc-h2 nav-item toc-entry">
-  <a class="reference internal nav-link" href="#some-useful-matrix-and-vector-expressions">
-   Some useful matrix and vector expressions
-  </a>
- </li>
  <li class="toc-h2 nav-item toc-entry">
   <a class="reference internal nav-link" href="#id3">
    Interpretations and optimizing our parameters
@@ -927,6 +927,11 @@ const thebe_selector_output = ".output, .cell_output"
   <a class="reference internal nav-link" href="#meet-the-pandas">
    Meet the Pandas
   </a>
+ </li>
+ <li class="toc-h2 nav-item toc-entry">
+  <a class="reference internal nav-link" href="#pandas-ai">
+   Pandas AI
+  </a>
   <ul class="nav section-nav flex-column">
    <li class="toc-h3 nav-item toc-entry">
     <a class="reference internal nav-link" href="#simple-linear-regression-model-using-scikit-learn">
@@ -1028,11 +1033,6 @@ const thebe_selector_output = ".output, .cell_output"
    Interpretations and optimizing our parameters
   </a>
  </li>
- <li class="toc-h2 nav-item toc-entry">
-  <a class="reference internal nav-link" href="#some-useful-matrix-and-vector-expressions">
-   Some useful matrix and vector expressions
-  </a>
- </li>
  <li class="toc-h2 nav-item toc-entry">
   <a class="reference internal nav-link" href="#id3">
    Interpretations and optimizing our parameters
@@ -1195,7 +1195,7 @@ doconce format html week34.do.txt --no_mako -->
 <h2>Communication channels<a class="headerlink" href="#communication-channels" title="Permalink to this headline">¶</a></h2>
 <ul class="simple">
 <li><p>Communications (email and more) via &lt;<a class="reference external" href="http://canvas.uio.no">canvas.uio.no</a>&gt;</p></li>
-<li><p><strong>Discord</strong> channel at <a class="reference external" href="https://discord.gg/hAaBRWFT72">https://discord.gg/hAaBRWFT72</a></p></li>
+<li><p><strong>Discord</strong> channel at <a class="reference external" href="https://discord.gg/XBKjd4ccGq">https://discord.gg/XBKjd4ccGq</a></p></li>
 </ul>
 </div>
 <div class="section" id="course-format">
@@ -1631,8 +1631,8 @@ developed in the 1970s, namely EISPACK and LINPACK.  We describe them shortly he
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[-0.44642273 -0.20366091 -0.49369173  0.65652778  0.49580918 -0.93137583
-  1.23177548  1.6608592  -0.69492254  0.11655508]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[ 0.64018793  0.2356299   0.43392925 -0.96042508 -1.60108393 -1.54514209
+ -0.74631004  1.03310687 -0.59939312  1.96861187]
 </pre></div>
 </div>
 </div>
@@ -1857,26 +1857,26 @@ lowercase letters for vectors and uppercase letters for matrices)</p>
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[0.49486583 0.8087144  0.91855299 0.6448861  0.74849204 0.91699467
-  0.94466321 0.75162857 0.32220836 0.25549693]
- [0.3825029  0.15654521 0.93482217 0.24809277 0.25772788 0.96856697
-  0.64064106 0.47128426 0.66855692 0.51821339]
- [0.83509815 0.36348681 0.23395094 0.99418976 0.69827131 0.7659922
-  0.81307569 0.20752401 0.99377492 0.89976047]
- [0.34498001 0.33880129 0.43233857 0.35329636 0.62606121 0.85466682
-  0.76097737 0.84421309 0.08145936 0.64110154]
- [0.96019951 0.96087803 0.38220141 0.46609435 0.56733919 0.46895658
-  0.22679825 0.96852109 0.00704347 0.63565881]
- [0.21074205 0.97861433 0.38382691 0.49873827 0.87196574 0.08434487
-  0.3546689  0.11053892 0.02865084 0.87134207]
- [0.32078531 0.07563916 0.97346886 0.79529368 0.20430356 0.45047066
-  0.83446313 0.17964265 0.37054827 0.95115279]
- [0.59922967 0.00145601 0.93873645 0.02592329 0.68250601 0.48699577
-  0.50083166 0.20525241 0.03880581 0.34975242]
- [0.17016741 0.09648484 0.47781605 0.58621153 0.32019835 0.91700604
-  0.93363269 0.83167477 0.34254681 0.08319649]
- [0.38845241 0.09706624 0.34606431 0.93082209 0.5105983  0.97939372
-  0.8773885  0.12911793 0.54129367 0.58662003]]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[0.42876571 0.35984424 0.18269964 0.07859555 0.49648665 0.56686787
+  0.2700575  0.54622374 0.90911719 0.15597277]
+ [0.34609499 0.58196606 0.74995126 0.03325534 0.40837262 0.80946326
+  0.77124043 0.43334205 0.28433473 0.47868192]
+ [0.27700271 0.41842164 0.94589469 0.69127233 0.00320591 0.16325134
+  0.79375465 0.38875182 0.82084195 0.88364362]
+ [0.56676694 0.38743286 0.48417033 0.42203045 0.77669775 0.29259268
+  0.15953495 0.49940538 0.1724601  0.09995364]
+ [0.87386332 0.0377625  0.57677544 0.5733843  0.54672588 0.06199837
+  0.82029869 0.35292923 0.91210472 0.40167092]
+ [0.07747943 0.6727393  0.09899913 0.28767964 0.15806326 0.44082882
+  0.28031381 0.20716469 0.15912833 0.64056731]
+ [0.31072238 0.69966724 0.24647622 0.53895778 0.76206763 0.6088727
+  0.57406865 0.54993524 0.34010963 0.01842607]
+ [0.57146034 0.45017176 0.8729107  0.7047854  0.66289131 0.84495995
+  0.34636057 0.62765028 0.27252371 0.08101799]
+ [0.69275323 0.66979282 0.79161356 0.81112337 0.33788596 0.01617829
+  0.02971902 0.19718893 0.55152034 0.89686618]
+ [0.78944094 0.7451077  0.99972468 0.16816701 0.41739393 0.46117193
+  0.81990111 0.72452914 0.56749245 0.53452255]]
 </pre></div>
 </div>
 </div>
@@ -1931,13 +1931,13 @@ covariance matrix through the <strong>np.linalg.eig()</strong> function.</p>
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>-0.0963911829588757
-3.757019617707678
-0.10552836390308734
-[[ 1.11105306  3.48263731  4.1473833 ]
- [ 3.48263731 11.83909743 12.7296587 ]
- [ 4.1473833  12.7296587  29.56151035]]
-[36.9908934   0.07119676  5.44957069]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.05915945740690532
+4.428690538456245
+0.48096529707360347
+[[ 1.10641647  3.26697059  3.35823605]
+ [ 3.26697059 10.73492514 10.22297752]
+ [ 3.35823605 10.22297752 16.60792149]]
+[25.20485165  0.09603196  3.14837948]
 </pre></div>
 </div>
 </div>
@@ -2162,7 +2162,7 @@ Name: Aragorn, dtype: object
 <div class="cell_output docutils container">
 <div class="output traceback highlight-ipythontb notranslate"><div class="highlight"><pre><span></span><span class="gt">---------------------------------------------------------------------------</span>
 <span class="ne">AttributeError</span><span class="g g-Whitespace">                            </span>Traceback (most recent call last)
-<span class="nn">/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_12649/1326197715.py</span> in <span class="ni">?</span><span class="nt">()</span>
+<span class="nn">/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_15329/1326197715.py</span> in <span class="ni">?</span><span class="nt">()</span>
 <span class="ne">----&gt; </span><span class="mi">6</span> <span class="n">new_hobbit</span> <span class="o">=</span> <span class="p">{</span><span class="s1">&#39;First Name&#39;</span><span class="p">:</span> <span class="p">[</span><span class="s2">&quot;Peregrin&quot;</span><span class="p">],</span>
 <span class="g g-Whitespace">      </span><span class="mi">7</span>               <span class="s1">&#39;Last Name&#39;</span><span class="p">:</span> <span class="p">[</span><span class="s2">&quot;Took&quot;</span><span class="p">],</span>
 <span class="g g-Whitespace">      </span><span class="mi">8</span>               <span class="s1">&#39;Place of birth&#39;</span><span class="p">:</span> <span class="p">[</span><span class="s2">&quot;Shire&quot;</span><span class="p">],</span>
@@ -2244,6 +2244,10 @@ we have just a single column of data. It shares many of the same features as <st
 most operations are vectorized, achieving thereby a high performance when dealing with computations of arrays, in particular labeled arrays.
 As we will see below it leads also to a very concice code close to the mathematical operations we may be interested in.
 For multidimensional arrays, we recommend strongly <a class="reference external" href="http://xarray.pydata.org/en/stable/">xarray</a>. <strong>xarray</strong> has much of the same flexibility as <strong>pandas</strong>, but allows for the extension to higher dimensions than two. We will see examples later of the usage of both <strong>pandas</strong> and <strong>xarray</strong>.</p>
+</div>
+<div class="section" id="pandas-ai">
+<h2>Pandas AI<a class="headerlink" href="#pandas-ai" title="Permalink to this headline">¶</a></h2>
+<p>Try out <a class="reference external" href="https://pandas-ai.com/">Pandas AI</a></p>
 <div class="section" id="simple-linear-regression-model-using-scikit-learn">
 <h3>Simple linear regression model using <strong>scikit-learn</strong><a class="headerlink" href="#simple-linear-regression-model-using-scikit-learn" title="Permalink to this headline">¶</a></h3>
 <p>We start with perhaps our simplest possible example, using <strong>Scikit-Learn</strong> to perform linear regression analysis on a data set produced by us.</p>
@@ -3165,11 +3169,6 @@ allow for the usage of direct linear algebra methods such as <strong>LU</strong>
 <span class="math notranslate nohighlight">\(\boldsymbol{X}^T\boldsymbol{X}\)</span>.</p>
 <p><strong>Small question</strong>: Do you think the example we have at hand here (the nuclear binding energies) can lead to problems in inverting the matrix  <span class="math notranslate nohighlight">\(\boldsymbol{X}^T\boldsymbol{X}\)</span>? What kind of problems can we expect?</p>
 </div>
-<div class="section" id="some-useful-matrix-and-vector-expressions">
-<h2>Some useful matrix and vector expressions<a class="headerlink" href="#some-useful-matrix-and-vector-expressions" title="Permalink to this headline">¶</a></h2>
-<p>See the handwritten notes at <a class="reference external" href="https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2022/NotesExercise5Week452022.pdf">https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2022/NotesExercise5Week452022.pdf</a></p>
-<p>These notes will be discussed during one of the lectures.</p>
-</div>
 <div class="section" id="id3">
 <h2>Interpretations and optimizing our parameters<a class="headerlink" href="#id3" title="Permalink to this headline">¶</a></h2>
 <p>The residuals <span class="math notranslate nohighlight">\(\boldsymbol{\epsilon}\)</span> are in turn given by</p>
diff --git a/doc/LectureNotes/_build/jupyter_execute/week34.ipynb b/doc/LectureNotes/_build/jupyter_execute/week34.ipynb
index 2dde5869a..6c5d8e596 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week34.ipynb
+++ b/doc/LectureNotes/_build/jupyter_execute/week34.ipynb
@@ -2,7 +2,7 @@
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+   "id": "3e71c3ed",
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@@ -14,7 +14,7 @@
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@@ -27,7 +27,7 @@
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@@ -53,7 +53,7 @@
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@@ -69,7 +69,7 @@
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@@ -93,7 +93,7 @@
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+   "id": "53b48ed9",
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@@ -102,12 +102,12 @@
     "\n",
     "* Communications (email and more) via <canvas.uio.no>\n",
     "\n",
-    "* **Discord** channel at <https://discord.gg/hAaBRWFT72>"
+    "* **Discord** channel at <https://discord.gg/XBKjd4ccGq>"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "6b3a4a81",
+   "id": "b14cbd93",
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@@ -129,7 +129,7 @@
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@@ -159,7 +159,7 @@
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@@ -177,7 +177,7 @@
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@@ -205,7 +205,7 @@
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@@ -223,7 +223,7 @@
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@@ -240,7 +240,7 @@
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@@ -264,7 +264,7 @@
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@@ -276,7 +276,7 @@
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@@ -296,7 +296,7 @@
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@@ -314,7 +314,7 @@
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@@ -339,7 +339,7 @@
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@@ -361,7 +361,7 @@
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@@ -385,7 +385,7 @@
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@@ -401,7 +401,7 @@
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@@ -423,7 +423,7 @@
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@@ -441,7 +441,7 @@
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@@ -471,7 +471,7 @@
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@@ -500,7 +500,7 @@
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@@ -518,7 +518,7 @@
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@@ -530,7 +530,7 @@
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@@ -565,7 +565,7 @@
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@@ -595,7 +595,7 @@
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@@ -626,7 +626,7 @@
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@@ -665,7 +665,7 @@
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@@ -698,7 +698,7 @@
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@@ -735,7 +735,7 @@
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@@ -759,7 +759,7 @@
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@@ -786,7 +786,7 @@
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@@ -796,7 +796,7 @@
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@@ -808,7 +808,7 @@
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+   "id": "9186c180",
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@@ -829,7 +829,7 @@
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+   "id": "fbe7f0de",
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@@ -841,7 +841,7 @@
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-   "id": "c8cbf8e5",
+   "id": "f4ba7a28",
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@@ -853,7 +853,7 @@
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-   "id": "2544ec17",
+   "id": "0f92ea37",
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@@ -864,7 +864,7 @@
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-   "id": "e6fed93a",
+   "id": "e7a41329",
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@@ -874,8 +874,8 @@
      "name": "stdout",
      "output_type": "stream",
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-      "[-0.44642273 -0.20366091 -0.49369173  0.65652778  0.49580918 -0.93137583\n",
-      "  1.23177548  1.6608592  -0.69492254  0.11655508]\n"
+      "[ 0.64018793  0.2356299   0.43392925 -0.96042508 -1.60108393 -1.54514209\n",
+      " -0.74631004  1.03310687 -0.59939312  1.96861187]\n"
      ]
     }
    ],
@@ -887,7 +887,7 @@
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@@ -899,7 +899,7 @@
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-   "id": "03351553",
+   "id": "a44ab51e",
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@@ -921,7 +921,7 @@
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@@ -933,7 +933,7 @@
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@@ -955,7 +955,7 @@
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@@ -972,7 +972,7 @@
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@@ -997,7 +997,7 @@
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@@ -1009,7 +1009,7 @@
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@@ -1031,7 +1031,7 @@
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@@ -1042,7 +1042,7 @@
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@@ -1064,7 +1064,7 @@
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@@ -1075,7 +1075,7 @@
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@@ -1097,7 +1097,7 @@
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@@ -1112,7 +1112,7 @@
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@@ -1136,7 +1136,7 @@
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@@ -1147,7 +1147,7 @@
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-   "id": "c517dc95",
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@@ -1170,7 +1170,7 @@
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@@ -1181,7 +1181,7 @@
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-   "id": "32efbfb2",
+   "id": "b02f087b",
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@@ -1204,7 +1204,7 @@
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@@ -1215,7 +1215,7 @@
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@@ -1248,7 +1248,7 @@
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@@ -1259,7 +1259,7 @@
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-   "id": "8c8edcaf",
+   "id": "eb73a41d",
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@@ -1292,7 +1292,7 @@
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@@ -1303,7 +1303,7 @@
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-   "id": "85c9a904",
+   "id": "75e1338a",
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@@ -1313,26 +1313,26 @@
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-      " [0.83509815 0.36348681 0.23395094 0.99418976 0.69827131 0.7659922\n",
-      "  0.81307569 0.20752401 0.99377492 0.89976047]\n",
-      " [0.34498001 0.33880129 0.43233857 0.35329636 0.62606121 0.85466682\n",
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-      " [0.96019951 0.96087803 0.38220141 0.46609435 0.56733919 0.46895658\n",
-      "  0.22679825 0.96852109 0.00704347 0.63565881]\n",
-      " [0.21074205 0.97861433 0.38382691 0.49873827 0.87196574 0.08434487\n",
-      "  0.3546689  0.11053892 0.02865084 0.87134207]\n",
-      " [0.32078531 0.07563916 0.97346886 0.79529368 0.20430356 0.45047066\n",
-      "  0.83446313 0.17964265 0.37054827 0.95115279]\n",
-      " [0.59922967 0.00145601 0.93873645 0.02592329 0.68250601 0.48699577\n",
-      "  0.50083166 0.20525241 0.03880581 0.34975242]\n",
-      " [0.17016741 0.09648484 0.47781605 0.58621153 0.32019835 0.91700604\n",
-      "  0.93363269 0.83167477 0.34254681 0.08319649]\n",
-      " [0.38845241 0.09706624 0.34606431 0.93082209 0.5105983  0.97939372\n",
-      "  0.8773885  0.12911793 0.54129367 0.58662003]]\n"
+      "[[0.42876571 0.35984424 0.18269964 0.07859555 0.49648665 0.56686787\n",
+      "  0.2700575  0.54622374 0.90911719 0.15597277]\n",
+      " [0.34609499 0.58196606 0.74995126 0.03325534 0.40837262 0.80946326\n",
+      "  0.77124043 0.43334205 0.28433473 0.47868192]\n",
+      " [0.27700271 0.41842164 0.94589469 0.69127233 0.00320591 0.16325134\n",
+      "  0.79375465 0.38875182 0.82084195 0.88364362]\n",
+      " [0.56676694 0.38743286 0.48417033 0.42203045 0.77669775 0.29259268\n",
+      "  0.15953495 0.49940538 0.1724601  0.09995364]\n",
+      " [0.87386332 0.0377625  0.57677544 0.5733843  0.54672588 0.06199837\n",
+      "  0.82029869 0.35292923 0.91210472 0.40167092]\n",
+      " [0.07747943 0.6727393  0.09899913 0.28767964 0.15806326 0.44082882\n",
+      "  0.28031381 0.20716469 0.15912833 0.64056731]\n",
+      " [0.31072238 0.69966724 0.24647622 0.53895778 0.76206763 0.6088727\n",
+      "  0.57406865 0.54993524 0.34010963 0.01842607]\n",
+      " [0.57146034 0.45017176 0.8729107  0.7047854  0.66289131 0.84495995\n",
+      "  0.34636057 0.62765028 0.27252371 0.08101799]\n",
+      " [0.69275323 0.66979282 0.79161356 0.81112337 0.33788596 0.01617829\n",
+      "  0.02971902 0.19718893 0.55152034 0.89686618]\n",
+      " [0.78944094 0.7451077  0.99972468 0.16816701 0.41739393 0.46117193\n",
+      "  0.81990111 0.72452914 0.56749245 0.53452255]]\n"
      ]
     }
    ],
@@ -1346,7 +1346,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15700c5c",
+   "id": "569d5c0b",
    "metadata": {
     "editable": true
    },
@@ -1358,7 +1358,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5d413f6",
+   "id": "7843e50f",
    "metadata": {
     "editable": true
    },
@@ -1373,7 +1373,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81f680dd",
+   "id": "644713ca",
    "metadata": {
     "editable": true
    },
@@ -1383,7 +1383,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17c5a1bf",
+   "id": "416f7608",
    "metadata": {
     "editable": true
    },
@@ -1395,7 +1395,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55a9b83d",
+   "id": "4219192a",
    "metadata": {
     "editable": true
    },
@@ -1406,7 +1406,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0929cae0",
+   "id": "4f5643f8",
    "metadata": {
     "editable": true
    },
@@ -1421,7 +1421,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3181ff4",
+   "id": "f6584cf1",
    "metadata": {
     "editable": true
    },
@@ -1436,7 +1436,7 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "6c2c0ee5",
+   "id": "75602f0d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1446,13 +1446,13 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "-0.0963911829588757\n",
-      "3.757019617707678\n",
-      "0.10552836390308734\n",
-      "[[ 1.11105306  3.48263731  4.1473833 ]\n",
-      " [ 3.48263731 11.83909743 12.7296587 ]\n",
-      " [ 4.1473833  12.7296587  29.56151035]]\n",
-      "[36.9908934   0.07119676  5.44957069]\n"
+      "0.05915945740690532\n",
+      "4.428690538456245\n",
+      "0.48096529707360347\n",
+      "[[ 1.10641647  3.26697059  3.35823605]\n",
+      " [ 3.26697059 10.73492514 10.22297752]\n",
+      " [ 3.35823605 10.22297752 16.60792149]]\n",
+      "[25.20485165  0.09603196  3.14837948]\n"
      ]
     }
    ],
@@ -1477,7 +1477,7 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "cbe79e57",
+   "id": "5ad697d4",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1530,7 +1530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f23e1ca6",
+   "id": "032b26ff",
    "metadata": {
     "editable": true
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@@ -1556,7 +1556,7 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "8789f2ba",
+   "id": "a787e973",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1648,7 +1648,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e9f51a5f",
+   "id": "3e2f2ba0",
    "metadata": {
     "editable": true
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@@ -1662,7 +1662,7 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "16b329b9",
+   "id": "a6e39994",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1747,7 +1747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cd1876fb",
+   "id": "8ffd3842",
    "metadata": {
     "editable": true
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@@ -1758,7 +1758,7 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "5b7e1c04",
+   "id": "b3814c6d",
    "metadata": {
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     "editable": true
@@ -1784,7 +1784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10f0bb9d",
+   "id": "35bafbd2",
    "metadata": {
     "editable": true
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@@ -1795,7 +1795,7 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "190b1a89",
+   "id": "8db7bed6",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1808,7 +1808,7 @@
      "traceback": [
       "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
       "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
-      "\u001b[0;32m/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_12649/1326197715.py\u001b[0m in \u001b[0;36m?\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m new_hobbit = {'First Name': [\"Peregrin\"],\n\u001b[0m\u001b[1;32m      7\u001b[0m               \u001b[0;34m'Last Name'\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"Took\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      8\u001b[0m               \u001b[0;34m'Place of birth'\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"Shire\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m               \u001b[0;34m'Date of Birth T.A.'\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;36m2990\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;32m/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_15329/1326197715.py\u001b[0m in \u001b[0;36m?\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m new_hobbit = {'First Name': [\"Peregrin\"],\n\u001b[0m\u001b[1;32m      7\u001b[0m               \u001b[0;34m'Last Name'\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"Took\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      8\u001b[0m               \u001b[0;34m'Place of birth'\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"Shire\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m               \u001b[0;34m'Date of Birth T.A.'\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;36m2990\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36m?\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m   6200\u001b[0m             \u001b[0;32mand\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_accessors\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   6201\u001b[0m             \u001b[0;32mand\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_info_axis\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_can_hold_identifiers_and_holds_name\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   6202\u001b[0m         ):\n\u001b[1;32m   6203\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 6204\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mobject\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__getattribute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
       "\u001b[0;31mAttributeError\u001b[0m: 'DataFrame' object has no attribute 'append'"
      ]
@@ -1826,7 +1826,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "579fb43e",
+   "id": "d9385413",
    "metadata": {
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@@ -1838,7 +1838,7 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "cb5f7e36",
+   "id": "6dce18c2",
    "metadata": {
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     "editable": true
@@ -1862,7 +1862,7 @@
   },
   {
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-   "id": "51e35da5",
+   "id": "97d91af7",
    "metadata": {
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@@ -1873,7 +1873,7 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "6754efdc",
+   "id": "e0dca4c1",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1902,7 +1902,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1750baf",
+   "id": "cdc2ab8a",
    "metadata": {
     "editable": true
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@@ -1913,7 +1913,7 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "4069afcc",
+   "id": "36ae1ade",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1928,7 +1928,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dc04e1ff",
+   "id": "c140669f",
    "metadata": {
     "editable": true
    },
@@ -1945,7 +1945,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff884c05",
+   "id": "d458b4bc",
+   "metadata": {
+    "editable": true
+   },
+   "source": [
+    "## Pandas AI\n",
+    "\n",
+    "Try out [Pandas AI](https://pandas-ai.com/)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f9520546",
    "metadata": {
     "editable": true
    },
@@ -1976,7 +1988,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10424430",
+   "id": "77976987",
    "metadata": {
     "editable": true
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@@ -1988,7 +2000,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4456d18",
+   "id": "8ac95ae4",
    "metadata": {
     "editable": true
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@@ -2016,7 +2028,7 @@
   {
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    "execution_count": 24,
-   "id": "570b320d",
+   "id": "3327deec",
    "metadata": {
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     "editable": true
@@ -2046,7 +2058,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a6e493ad",
+   "id": "8e39785b",
    "metadata": {
     "editable": true
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@@ -2063,7 +2075,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f1725d2",
+   "id": "2a78a280",
    "metadata": {
     "editable": true
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@@ -2075,7 +2087,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8df5914b",
+   "id": "c4864965",
    "metadata": {
     "editable": true
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@@ -2096,7 +2108,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7648e110",
+   "id": "5c0838b1",
    "metadata": {
     "editable": true
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@@ -2109,7 +2121,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17c3f9d8",
+   "id": "02383309",
    "metadata": {
     "editable": true
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@@ -2140,7 +2152,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0cb0e3fa",
+   "id": "eac58725",
    "metadata": {
     "editable": true
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@@ -2152,7 +2164,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "00fe7e8c",
+   "id": "827e0ed3",
    "metadata": {
     "editable": true
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@@ -2170,7 +2182,7 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "7a17d6fe",
+   "id": "8f20f97a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2197,7 +2209,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f557979",
+   "id": "40e0f1fb",
    "metadata": {
     "editable": true
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@@ -2219,7 +2231,7 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "a5e9ee5a",
+   "id": "85fe3b38",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2257,7 +2269,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2b45b0b",
+   "id": "c5340def",
    "metadata": {
     "editable": true
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@@ -2268,7 +2280,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97da0991",
+   "id": "83e89ce5",
    "metadata": {
     "editable": true
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@@ -2281,7 +2293,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6664f912",
+   "id": "05a2a70c",
    "metadata": {
     "editable": true
    },
@@ -2302,7 +2314,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ca74414",
+   "id": "edfe1145",
    "metadata": {
     "editable": true
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@@ -2314,7 +2326,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e1d8766",
+   "id": "b63b854d",
    "metadata": {
     "editable": true
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@@ -2324,7 +2336,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4605a6c5",
+   "id": "b72ca737",
    "metadata": {
     "editable": true
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@@ -2336,7 +2348,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "882cab00",
+   "id": "da0dd094",
    "metadata": {
     "editable": true
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@@ -2348,7 +2360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d365176",
+   "id": "55ad6e1f",
    "metadata": {
     "editable": true
    },
@@ -2360,7 +2372,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed69759f",
+   "id": "307edc23",
    "metadata": {
     "editable": true
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@@ -2371,7 +2383,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33745626",
+   "id": "ddcee8d8",
    "metadata": {
     "editable": true
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@@ -2383,7 +2395,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "049e0384",
+   "id": "a4aa116d",
    "metadata": {
     "editable": true
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@@ -2405,7 +2417,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a9fe56d",
+   "id": "91b0a8f6",
    "metadata": {
     "editable": true
    },
@@ -2417,7 +2429,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be3f1edc",
+   "id": "6a89433e",
    "metadata": {
     "editable": true
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@@ -2430,7 +2442,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "39a78b9e",
+   "id": "8e9db463",
    "metadata": {
     "editable": true
    },
@@ -2447,7 +2459,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c035b2b",
+   "id": "322bc071",
    "metadata": {
     "editable": true
    },
@@ -2459,7 +2471,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12c6c509",
+   "id": "02864f30",
    "metadata": {
     "editable": true
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@@ -2469,7 +2481,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81cb4b33",
+   "id": "75d42c9b",
    "metadata": {
     "editable": true
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@@ -2481,7 +2493,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1aec311",
+   "id": "9cd70ab7",
    "metadata": {
     "editable": true
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@@ -2491,7 +2503,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f4f90ea",
+   "id": "b10d687a",
    "metadata": {
     "editable": true
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@@ -2503,7 +2515,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5535c1ab",
+   "id": "fadb16df",
    "metadata": {
     "editable": true
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@@ -2513,7 +2525,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3efd5ad",
+   "id": "a784290a",
    "metadata": {
     "editable": true
    },
@@ -2525,7 +2537,7 @@
   },
   {
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@@ -2541,7 +2553,7 @@
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@@ -2553,7 +2565,7 @@
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@@ -2564,7 +2576,7 @@
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@@ -2576,7 +2588,7 @@
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@@ -2590,7 +2602,7 @@
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@@ -2602,7 +2614,7 @@
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@@ -2627,7 +2639,7 @@
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@@ -2644,7 +2656,7 @@
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@@ -2688,7 +2700,7 @@
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@@ -2699,7 +2711,7 @@
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@@ -2721,7 +2733,7 @@
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@@ -2738,7 +2750,7 @@
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@@ -2759,7 +2771,7 @@
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@@ -2773,7 +2785,7 @@
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@@ -2802,7 +2814,7 @@
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@@ -2822,7 +2834,7 @@
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@@ -2839,7 +2851,7 @@
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@@ -2851,7 +2863,7 @@
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@@ -2869,7 +2881,7 @@
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@@ -2880,7 +2892,7 @@
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@@ -2893,7 +2905,7 @@
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@@ -2905,7 +2917,7 @@
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@@ -2936,7 +2948,7 @@
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@@ -2950,7 +2962,7 @@
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@@ -2995,7 +3007,7 @@
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@@ -3015,7 +3027,7 @@
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@@ -3047,7 +3059,7 @@
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@@ -3069,7 +3081,7 @@
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@@ -3097,7 +3109,7 @@
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@@ -3112,7 +3124,7 @@
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@@ -3124,7 +3136,7 @@
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@@ -3139,7 +3151,7 @@
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@@ -3152,7 +3164,7 @@
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@@ -3164,7 +3176,7 @@
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@@ -3174,7 +3186,7 @@
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@@ -3185,7 +3197,7 @@
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@@ -3203,7 +3215,7 @@
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@@ -3214,7 +3226,7 @@
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@@ -3226,7 +3238,7 @@
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@@ -3236,7 +3248,7 @@
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@@ -3248,7 +3260,7 @@
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@@ -3258,7 +3270,7 @@
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@@ -3270,7 +3282,7 @@
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@@ -3280,7 +3292,7 @@
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@@ -3299,7 +3311,7 @@
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@@ -3309,7 +3321,7 @@
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@@ -3321,7 +3333,7 @@
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@@ -3331,7 +3343,7 @@
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@@ -3347,7 +3359,7 @@
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@@ -3367,7 +3379,7 @@
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@@ -3377,7 +3389,7 @@
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@@ -3388,7 +3400,7 @@
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@@ -3407,7 +3419,7 @@
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@@ -3417,7 +3429,7 @@
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@@ -3429,7 +3441,7 @@
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@@ -3439,7 +3451,7 @@
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@@ -3450,7 +3462,7 @@
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@@ -3470,7 +3482,7 @@
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@@ -3482,7 +3494,7 @@
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@@ -3497,7 +3509,7 @@
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-   "id": "d7f7ee11",
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@@ -3577,7 +3589,7 @@
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@@ -3587,7 +3599,7 @@
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@@ -3599,7 +3611,7 @@
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@@ -3609,7 +3621,7 @@
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@@ -3620,7 +3632,7 @@
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@@ -3632,7 +3644,7 @@
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@@ -3642,7 +3654,7 @@
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@@ -3654,7 +3666,7 @@
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@@ -3664,7 +3676,7 @@
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@@ -3676,7 +3688,7 @@
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@@ -3689,7 +3701,7 @@
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@@ -3701,7 +3713,7 @@
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@@ -3711,7 +3723,7 @@
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@@ -3723,7 +3735,7 @@
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@@ -3735,7 +3747,7 @@
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@@ -3746,7 +3758,7 @@
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@@ -3758,7 +3770,7 @@
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@@ -3777,7 +3789,7 @@
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@@ -3790,7 +3802,7 @@
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@@ -3800,7 +3812,7 @@
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@@ -3812,7 +3824,7 @@
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@@ -3822,7 +3834,7 @@
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@@ -3834,7 +3846,7 @@
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@@ -3844,7 +3856,7 @@
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@@ -3856,7 +3868,7 @@
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@@ -3867,7 +3879,7 @@
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@@ -3879,7 +3891,7 @@
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@@ -3889,7 +3901,7 @@
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@@ -3901,7 +3913,7 @@
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@@ -3911,7 +3923,7 @@
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@@ -3923,7 +3935,7 @@
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@@ -3944,21 +3956,7 @@
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-   "id": "485307ed",
-   "metadata": {
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-   },
-   "source": [
-    "## Some useful matrix and vector expressions\n",
-    "\n",
-    "See the handwritten notes at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2022/NotesExercise5Week452022.pdf>\n",
-    "\n",
-    "These notes will be discussed during one of the lectures."
-   ]
-  },
-  {
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+   "id": "ca00624d",
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@@ -3969,7 +3967,7 @@
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@@ -3981,7 +3979,7 @@
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@@ -3991,7 +3989,7 @@
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@@ -4003,7 +4001,7 @@
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@@ -4013,7 +4011,7 @@
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@@ -4025,7 +4023,7 @@
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-   "id": "402a8712",
+   "id": "5155277d",
    "metadata": {
     "editable": true
    },
@@ -4037,7 +4035,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3297371d",
+   "id": "d198a040",
    "metadata": {
     "editable": true
    },
@@ -4051,7 +4049,7 @@
   {
    "cell_type": "code",
    "execution_count": 37,
-   "id": "87fb9b2a",
+   "id": "1fd1c624",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4066,7 +4064,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee24edc8",
+   "id": "0334c969",
    "metadata": {
     "editable": true
    },
@@ -4077,7 +4075,7 @@
   {
    "cell_type": "code",
    "execution_count": 38,
-   "id": "f3f9658c",
+   "id": "ee65f2c6",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4090,7 +4088,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b4ed34de",
+   "id": "6a90caab",
    "metadata": {
     "editable": true
    },
@@ -4101,7 +4099,7 @@
   {
    "cell_type": "code",
    "execution_count": 39,
-   "id": "609abf77",
+   "id": "be846d9c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4124,7 +4122,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f3cfe27",
+   "id": "186d4dfc",
    "metadata": {
     "editable": true
    },
@@ -4138,7 +4136,7 @@
   {
    "cell_type": "code",
    "execution_count": 40,
-   "id": "c825f110",
+   "id": "6de9e6a2",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4151,7 +4149,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "127f753b",
+   "id": "d416f1dc",
    "metadata": {
     "editable": true
    },
@@ -4162,7 +4160,7 @@
   {
    "cell_type": "code",
    "execution_count": 41,
-   "id": "9002643d",
+   "id": "c3d5d9a5",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4174,7 +4172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c10d523",
+   "id": "a8793e09",
    "metadata": {
     "editable": true
    },
@@ -4185,7 +4183,7 @@
   {
    "cell_type": "code",
    "execution_count": 42,
-   "id": "b0be976a",
+   "id": "777316e8",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4201,7 +4199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3c853fd",
+   "id": "8395880e",
    "metadata": {
     "editable": true
    },
@@ -4212,7 +4210,7 @@
   {
    "cell_type": "code",
    "execution_count": 43,
-   "id": "3e876e46",
+   "id": "b32c1466",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4226,7 +4224,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8bae9ae0",
+   "id": "91a8c376",
    "metadata": {
     "editable": true
    },
@@ -4248,7 +4246,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e268fe32",
+   "id": "e9f97232",
    "metadata": {
     "editable": true
    },
@@ -4260,7 +4258,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0eb0a0b8",
+   "id": "6f86f9ff",
    "metadata": {
     "editable": true
    },
@@ -4270,7 +4268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "48244140",
+   "id": "099e318a",
    "metadata": {
     "editable": true
    },
@@ -4282,7 +4280,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d285acf3",
+   "id": "94882de1",
    "metadata": {
     "editable": true
    },
@@ -4294,7 +4292,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "291407cc",
+   "id": "4bbe2d6d",
    "metadata": {
     "editable": true
    },
@@ -4304,7 +4302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b80bef46",
+   "id": "82224549",
    "metadata": {
     "editable": true
    },
@@ -4316,7 +4314,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad91b94e",
+   "id": "85de5310",
    "metadata": {
     "editable": true
    },
@@ -4326,7 +4324,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59d64474",
+   "id": "0c4e69ee",
    "metadata": {
     "editable": true
    },
@@ -4338,7 +4336,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f0f79d1c",
+   "id": "2cf42150",
    "metadata": {
     "editable": true
    },
@@ -4348,7 +4346,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2c1adbd",
+   "id": "28d8b572",
    "metadata": {
     "editable": true
    },
@@ -4360,7 +4358,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "77c55331",
+   "id": "bd0da12f",
    "metadata": {
     "editable": true
    },
@@ -4372,7 +4370,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "464518fe",
+   "id": "79ab73b9",
    "metadata": {
     "editable": true
    },
@@ -4382,7 +4380,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7722ff6a",
+   "id": "1a8223d3",
    "metadata": {
     "editable": true
    },
@@ -4394,7 +4392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17a0a0bf",
+   "id": "a2f47783",
    "metadata": {
     "editable": true
    },
@@ -4404,7 +4402,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db0729e5",
+   "id": "5e3fb86d",
    "metadata": {
     "editable": true
    },
@@ -4416,7 +4414,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3342e4d",
+   "id": "fa454a83",
    "metadata": {
     "editable": true
    },
@@ -4428,7 +4426,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "32797264",
+   "id": "24add22b",
    "metadata": {
     "editable": true
    },
@@ -4440,7 +4438,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6b4fa2ed",
+   "id": "8dcd4b60",
    "metadata": {
     "editable": true
    },
@@ -4450,7 +4448,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91b0f90c",
+   "id": "8cf096f9",
    "metadata": {
     "editable": true
    },
@@ -4462,7 +4460,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1788b899",
+   "id": "2af41539",
    "metadata": {
     "editable": true
    },
@@ -4472,7 +4470,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbedd864",
+   "id": "48bc0d81",
    "metadata": {
     "editable": true
    },
@@ -4484,7 +4482,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "46ced7fc",
+   "id": "fea98193",
    "metadata": {
     "editable": true
    },
@@ -4494,7 +4492,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "126581f2",
+   "id": "d95b3640",
    "metadata": {
     "editable": true
    },
@@ -4506,7 +4504,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "22263ac1",
+   "id": "d1749aad",
    "metadata": {
     "editable": true
    },
@@ -4517,7 +4515,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2f1c4bf",
+   "id": "139a6ebe",
    "metadata": {
     "editable": true
    },
@@ -4529,7 +4527,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c150c12",
+   "id": "89002f52",
    "metadata": {
     "editable": true
    },
@@ -4539,7 +4537,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "54c4bd59",
+   "id": "b9b48df5",
    "metadata": {
     "editable": true
    },
@@ -4551,7 +4549,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85450044",
+   "id": "76413cfe",
    "metadata": {
     "editable": true
    },
@@ -4561,7 +4559,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f62678e4",
+   "id": "21843716",
    "metadata": {
     "editable": true
    },
@@ -4573,7 +4571,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06216620",
+   "id": "5bccb54a",
    "metadata": {
     "editable": true
    },
@@ -4586,7 +4584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "48b4d612",
+   "id": "65141693",
    "metadata": {
     "editable": true
    },
@@ -4598,7 +4596,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44fe7e7a",
+   "id": "67a57b05",
    "metadata": {
     "editable": true
    },
@@ -4610,7 +4608,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "989f2952",
+   "id": "4b786ae5",
    "metadata": {
     "editable": true
    },
@@ -4622,7 +4620,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0425932f",
+   "id": "8f90ddfb",
    "metadata": {
     "editable": true
    },
@@ -4634,7 +4632,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f095428",
+   "id": "669e431f",
    "metadata": {
     "editable": true
    },
@@ -4646,7 +4644,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a37ec316",
+   "id": "7dfd296c",
    "metadata": {
     "editable": true
    },
@@ -4656,7 +4654,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "05921282",
+   "id": "1a39204c",
    "metadata": {
     "editable": true
    },
@@ -4668,7 +4666,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "147b5033",
+   "id": "61cbc812",
    "metadata": {
     "editable": true
    },
@@ -4680,7 +4678,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe77ebfe",
+   "id": "6b8648b3",
    "metadata": {
     "editable": true
    },
@@ -4693,7 +4691,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a2e48f9",
+   "id": "c91f9c88",
    "metadata": {
     "editable": true
    },
@@ -4720,7 +4718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c8cf2ea",
+   "id": "3b614967",
    "metadata": {
     "editable": true
    },
@@ -4731,7 +4729,7 @@
   {
    "cell_type": "code",
    "execution_count": 44,
-   "id": "4b4b43d0",
+   "id": "2229e29b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4827,7 +4825,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e2a451c5",
+   "id": "51cecbe6",
    "metadata": {
     "editable": true
    },
@@ -4842,7 +4840,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b59392e2",
+   "id": "cb44fadc",
    "metadata": {
     "editable": true
    },
@@ -4864,7 +4862,7 @@
   {
    "cell_type": "code",
    "execution_count": 45,
-   "id": "7b909eeb",
+   "id": "41334dd2",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4939,7 +4937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bec3ce40",
+   "id": "cc28353d",
    "metadata": {
     "editable": true
    },
@@ -4951,7 +4949,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a321d502",
+   "id": "6c982e21",
    "metadata": {
     "editable": true
    },
@@ -5020,7 +5018,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "759fda61",
+   "id": "28de3ce3",
    "metadata": {
     "editable": true
    },
@@ -5034,7 +5032,7 @@
   {
    "cell_type": "code",
    "execution_count": 46,
-   "id": "93284b25",
+   "id": "819f05e1",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5047,7 +5045,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3388ab9",
+   "id": "f8f20749",
    "metadata": {
     "editable": true
    },
@@ -5061,7 +5059,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "985f07fa",
+   "id": "43ca9d86",
    "metadata": {
     "editable": true
    },
@@ -5074,7 +5072,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "65ca73e3",
+   "id": "0a80a3b2",
    "metadata": {
     "editable": true
    },
@@ -5085,7 +5083,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97ccbc96",
+   "id": "8cc1e421",
    "metadata": {
     "editable": true
    },
@@ -5097,7 +5095,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e7404ee",
+   "id": "8d7a5fbf",
    "metadata": {
     "editable": true
    },
@@ -5107,7 +5105,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "64aed9c5",
+   "id": "fc2e32e9",
    "metadata": {
     "editable": true
    },
@@ -5119,7 +5117,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0a3bdb2",
+   "id": "70c1826e",
    "metadata": {
     "editable": true
    },
@@ -5130,7 +5128,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ef8be54",
+   "id": "0fba2f0a",
    "metadata": {
     "editable": true
    },
@@ -5149,7 +5147,7 @@
   {
    "cell_type": "code",
    "execution_count": 47,
-   "id": "5283ee66",
+   "id": "ff051f0b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5165,7 +5163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f275d73e",
+   "id": "d3911470",
    "metadata": {
     "editable": true
    },
@@ -5175,7 +5173,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e2f0b55f",
+   "id": "d888f3b2",
    "metadata": {
     "editable": true
    },
@@ -5186,7 +5184,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b01468f",
+   "id": "87329319",
    "metadata": {
     "editable": true
    },
@@ -5198,7 +5196,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5af2c631",
+   "id": "e599eaec",
    "metadata": {
     "editable": true
    },
diff --git a/doc/LectureNotes/_build/jupyter_execute/week34.py b/doc/LectureNotes/_build/jupyter_execute/week34.py
index 26590e7b6..ed5d2b1a2 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week34.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week34.py
@@ -56,7 +56,7 @@
 # 
 # * Communications (email and more) via <canvas.uio.no>
 # 
-# * **Discord** channel at <https://discord.gg/hAaBRWFT72>
+# * **Discord** channel at <https://discord.gg/XBKjd4ccGq>
 
 # ## Course Format
 # 
@@ -898,6 +898,10 @@ print(df1)
 # As we will see below it leads also to a very concice code close to the mathematical operations we may be interested in.
 # For multidimensional arrays, we recommend strongly [xarray](http://xarray.pydata.org/en/stable/). **xarray** has much of the same flexibility as **pandas**, but allows for the extension to higher dimensions than two. We will see examples later of the usage of both **pandas** and **xarray**.
 
+# ## Pandas AI
+# 
+# Try out [Pandas AI](https://pandas-ai.com/)
+
 # ### Simple linear regression model using **scikit-learn**
 # 
 # We start with perhaps our simplest possible example, using **Scikit-Learn** to perform linear regression analysis on a data set produced by us. 
@@ -1894,12 +1898,6 @@ display(DesignMatrix)
 # 
 # **Small question**: Do you think the example we have at hand here (the nuclear binding energies) can lead to problems in inverting the matrix  $\boldsymbol{X}^T\boldsymbol{X}$? What kind of problems can we expect?
 
-# ## Some useful matrix and vector expressions
-# 
-# See the handwritten notes at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2022/NotesExercise5Week452022.pdf>
-# 
-# These notes will be discussed during one of the lectures.
-
 # ## Interpretations and optimizing our parameters
 # The residuals $\boldsymbol{\epsilon}$ are in turn given by
 
diff --git a/doc/LectureNotes/week34.ipynb b/doc/LectureNotes/week34.ipynb
index 08d8159c8..9de607905 100644
--- a/doc/LectureNotes/week34.ipynb
+++ b/doc/LectureNotes/week34.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "e68d0f91",
+   "id": "3e71c3ed",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "919216dd",
+   "id": "45b52799",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d990119b",
+   "id": "ef4cb19e",
    "metadata": {
     "editable": true
    },
@@ -53,7 +53,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12fb6433",
+   "id": "1e6b1300",
    "metadata": {
     "editable": true
    },
@@ -69,7 +69,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc7733d1",
+   "id": "31d1f84c",
    "metadata": {
     "editable": true
    },
@@ -93,7 +93,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b62d5a2",
+   "id": "53b48ed9",
    "metadata": {
     "editable": true
    },
@@ -102,12 +102,12 @@
     "\n",
     "* Communications (email and more) via <canvas.uio.no>\n",
     "\n",
-    "* **Discord** channel at <https://discord.gg/hAaBRWFT72>"
+    "* **Discord** channel at <https://discord.gg/XBKjd4ccGq>"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "6b3a4a81",
+   "id": "b14cbd93",
    "metadata": {
     "editable": true
    },
@@ -129,7 +129,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afc67709",
+   "id": "d9cab2bb",
    "metadata": {
     "editable": true
    },
@@ -159,7 +159,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bbd60b9c",
+   "id": "b7eb2935",
    "metadata": {
     "editable": true
    },
@@ -177,7 +177,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c4e0b8c",
+   "id": "3b3ac4d2",
    "metadata": {
     "editable": true
    },
@@ -205,7 +205,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cabba75a",
+   "id": "c98a488d",
    "metadata": {
     "editable": true
    },
@@ -223,7 +223,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2240bbaf",
+   "id": "8bd55d29",
    "metadata": {
     "editable": true
    },
@@ -240,7 +240,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e11266d3",
+   "id": "ff004362",
    "metadata": {
     "editable": true
    },
@@ -264,7 +264,7 @@
   },
   {
    "cell_type": "markdown",
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@@ -276,7 +276,7 @@
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@@ -296,7 +296,7 @@
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@@ -314,7 +314,7 @@
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@@ -339,7 +339,7 @@
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@@ -361,7 +361,7 @@
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@@ -385,7 +385,7 @@
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@@ -401,7 +401,7 @@
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@@ -423,7 +423,7 @@
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@@ -441,7 +441,7 @@
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@@ -471,7 +471,7 @@
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@@ -500,7 +500,7 @@
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@@ -518,7 +518,7 @@
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@@ -530,7 +530,7 @@
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@@ -565,7 +565,7 @@
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@@ -595,7 +595,7 @@
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@@ -626,7 +626,7 @@
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@@ -665,7 +665,7 @@
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@@ -698,7 +698,7 @@
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@@ -735,7 +735,7 @@
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@@ -759,7 +759,7 @@
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@@ -786,7 +786,7 @@
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@@ -796,7 +796,7 @@
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@@ -808,7 +808,7 @@
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@@ -829,7 +829,7 @@
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@@ -841,7 +841,7 @@
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    "execution_count": 1,
-   "id": "c8cbf8e5",
+   "id": "f4ba7a28",
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@@ -853,7 +853,7 @@
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   {
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+   "id": "0f92ea37",
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@@ -864,7 +864,7 @@
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-   "id": "e6fed93a",
+   "id": "e7a41329",
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@@ -878,7 +878,7 @@
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   {
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+   "id": "269bd917",
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@@ -890,7 +890,7 @@
   {
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-   "id": "03351553",
+   "id": "a44ab51e",
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@@ -904,7 +904,7 @@
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@@ -916,7 +916,7 @@
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-   "id": "7d547fee",
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@@ -930,7 +930,7 @@
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+   "id": "edbfa557",
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@@ -947,7 +947,7 @@
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-   "id": "a1410010",
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@@ -964,7 +964,7 @@
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@@ -976,7 +976,7 @@
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-   "id": "b2baed9c",
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@@ -990,7 +990,7 @@
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@@ -1001,7 +1001,7 @@
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@@ -1015,7 +1015,7 @@
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@@ -1026,7 +1026,7 @@
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@@ -1040,7 +1040,7 @@
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@@ -1055,7 +1055,7 @@
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-   "id": "f54969e9",
+   "id": "511aad98",
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@@ -1069,7 +1069,7 @@
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@@ -1080,7 +1080,7 @@
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-   "id": "c517dc95",
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@@ -1095,7 +1095,7 @@
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+   "id": "5340edcf",
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@@ -1106,7 +1106,7 @@
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-   "id": "32efbfb2",
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@@ -1121,7 +1121,7 @@
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@@ -1132,7 +1132,7 @@
   {
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    "execution_count": 12,
-   "id": "fcebfe97",
+   "id": "65630355",
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     "editable": true
@@ -1148,7 +1148,7 @@
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+   "id": "2d900153",
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@@ -1159,7 +1159,7 @@
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-   "id": "8c8edcaf",
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@@ -1175,7 +1175,7 @@
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+   "id": "475d032f",
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@@ -1186,7 +1186,7 @@
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-   "id": "85c9a904",
+   "id": "75e1338a",
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     "editable": true
@@ -1202,7 +1202,7 @@
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   {
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+   "id": "569d5c0b",
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@@ -1214,7 +1214,7 @@
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   {
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-   "id": "d5d413f6",
+   "id": "7843e50f",
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@@ -1229,7 +1229,7 @@
   },
   {
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-   "id": "81f680dd",
+   "id": "644713ca",
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@@ -1239,7 +1239,7 @@
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   {
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+   "id": "416f7608",
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@@ -1251,7 +1251,7 @@
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+   "id": "4219192a",
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@@ -1262,7 +1262,7 @@
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+   "id": "4f5643f8",
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@@ -1277,7 +1277,7 @@
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@@ -1292,7 +1292,7 @@
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-   "id": "6c2c0ee5",
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@@ -1319,7 +1319,7 @@
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-   "id": "cbe79e57",
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@@ -1343,7 +1343,7 @@
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@@ -1369,7 +1369,7 @@
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-   "id": "8789f2ba",
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@@ -1389,7 +1389,7 @@
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@@ -1403,7 +1403,7 @@
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@@ -1416,7 +1416,7 @@
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@@ -1427,7 +1427,7 @@
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-   "id": "5b7e1c04",
+   "id": "b3814c6d",
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     "editable": true
@@ -1439,7 +1439,7 @@
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+   "id": "35bafbd2",
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@@ -1450,7 +1450,7 @@
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-   "id": "190b1a89",
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@@ -1468,7 +1468,7 @@
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-   "id": "579fb43e",
+   "id": "d9385413",
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@@ -1480,7 +1480,7 @@
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-   "id": "cb5f7e36",
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@@ -1504,7 +1504,7 @@
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@@ -1515,7 +1515,7 @@
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-   "id": "6754efdc",
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@@ -1544,7 +1544,7 @@
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+   "id": "cdc2ab8a",
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@@ -1555,7 +1555,7 @@
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-   "id": "4069afcc",
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@@ -1570,7 +1570,7 @@
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+   "id": "c140669f",
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@@ -1587,7 +1587,19 @@
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-   "id": "ff884c05",
+   "id": "d458b4bc",
+   "metadata": {
+    "editable": true
+   },
+   "source": [
+    "## Pandas AI\n",
+    "\n",
+    "Try out [Pandas AI](https://pandas-ai.com/)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f9520546",
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@@ -1618,7 +1630,7 @@
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@@ -1630,7 +1642,7 @@
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@@ -1658,7 +1670,7 @@
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-   "id": "570b320d",
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@@ -1688,7 +1700,7 @@
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+   "id": "8e39785b",
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@@ -1705,7 +1717,7 @@
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+   "id": "2a78a280",
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@@ -1717,7 +1729,7 @@
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+   "id": "c4864965",
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@@ -1738,7 +1750,7 @@
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@@ -1751,7 +1763,7 @@
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+   "id": "02383309",
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@@ -1782,7 +1794,7 @@
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@@ -1794,7 +1806,7 @@
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@@ -1812,7 +1824,7 @@
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-   "id": "7a17d6fe",
+   "id": "8f20f97a",
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@@ -1839,7 +1851,7 @@
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@@ -1861,7 +1873,7 @@
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-   "id": "a5e9ee5a",
+   "id": "85fe3b38",
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@@ -1899,7 +1911,7 @@
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+   "id": "c5340def",
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@@ -1910,7 +1922,7 @@
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-   "id": "97da0991",
+   "id": "83e89ce5",
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@@ -1923,7 +1935,7 @@
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-   "id": "6664f912",
+   "id": "05a2a70c",
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@@ -1944,7 +1956,7 @@
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+   "id": "edfe1145",
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@@ -1956,7 +1968,7 @@
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   {
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+   "id": "b63b854d",
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@@ -1966,7 +1978,7 @@
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+   "id": "b72ca737",
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@@ -1978,7 +1990,7 @@
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@@ -1990,7 +2002,7 @@
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-   "id": "7d365176",
+   "id": "55ad6e1f",
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@@ -2002,7 +2014,7 @@
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@@ -2013,7 +2025,7 @@
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@@ -2025,7 +2037,7 @@
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@@ -2047,7 +2059,7 @@
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@@ -2059,7 +2071,7 @@
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@@ -2072,7 +2084,7 @@
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@@ -2089,7 +2101,7 @@
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@@ -2101,7 +2113,7 @@
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@@ -2111,7 +2123,7 @@
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@@ -2123,7 +2135,7 @@
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@@ -2133,7 +2145,7 @@
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@@ -2145,7 +2157,7 @@
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@@ -2155,7 +2167,7 @@
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@@ -2167,7 +2179,7 @@
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@@ -2183,7 +2195,7 @@
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@@ -2195,7 +2207,7 @@
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@@ -2206,7 +2218,7 @@
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@@ -2218,7 +2230,7 @@
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@@ -2232,7 +2244,7 @@
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@@ -2244,7 +2256,7 @@
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@@ -2269,7 +2281,7 @@
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@@ -2286,7 +2298,7 @@
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@@ -2330,7 +2342,7 @@
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@@ -2341,7 +2353,7 @@
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@@ -2363,7 +2375,7 @@
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@@ -2380,7 +2392,7 @@
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@@ -2401,7 +2413,7 @@
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@@ -2415,7 +2427,7 @@
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@@ -2444,7 +2456,7 @@
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@@ -2464,7 +2476,7 @@
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@@ -2481,7 +2493,7 @@
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@@ -2493,7 +2505,7 @@
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-   "id": "0c1a4a2d",
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@@ -2511,7 +2523,7 @@
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@@ -2522,7 +2534,7 @@
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@@ -2535,7 +2547,7 @@
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@@ -2547,7 +2559,7 @@
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@@ -2578,7 +2590,7 @@
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@@ -2592,7 +2604,7 @@
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@@ -2637,7 +2649,7 @@
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@@ -2657,7 +2669,7 @@
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@@ -2689,7 +2701,7 @@
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@@ -2711,7 +2723,7 @@
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@@ -2739,7 +2751,7 @@
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@@ -2754,7 +2766,7 @@
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@@ -2766,7 +2778,7 @@
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@@ -2781,7 +2793,7 @@
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@@ -2794,7 +2806,7 @@
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@@ -2806,7 +2818,7 @@
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@@ -2816,7 +2828,7 @@
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@@ -2827,7 +2839,7 @@
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@@ -2845,7 +2857,7 @@
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@@ -2856,7 +2868,7 @@
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@@ -2868,7 +2880,7 @@
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@@ -2878,7 +2890,7 @@
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@@ -2890,7 +2902,7 @@
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@@ -2900,7 +2912,7 @@
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@@ -2912,7 +2924,7 @@
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@@ -2922,7 +2934,7 @@
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@@ -2941,7 +2953,7 @@
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@@ -2951,7 +2963,7 @@
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@@ -2963,7 +2975,7 @@
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@@ -2973,7 +2985,7 @@
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@@ -2989,7 +3001,7 @@
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@@ -3009,7 +3021,7 @@
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@@ -3019,7 +3031,7 @@
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@@ -3030,7 +3042,7 @@
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@@ -3049,7 +3061,7 @@
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@@ -3059,7 +3071,7 @@
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@@ -3071,7 +3083,7 @@
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@@ -3081,7 +3093,7 @@
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@@ -3092,7 +3104,7 @@
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@@ -3112,7 +3124,7 @@
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@@ -3124,7 +3136,7 @@
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@@ -3139,7 +3151,7 @@
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-   "id": "d7f7ee11",
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@@ -3219,7 +3231,7 @@
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@@ -3229,7 +3241,7 @@
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@@ -3241,7 +3253,7 @@
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@@ -3251,7 +3263,7 @@
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@@ -3262,7 +3274,7 @@
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@@ -3274,7 +3286,7 @@
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@@ -3284,7 +3296,7 @@
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@@ -3296,7 +3308,7 @@
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@@ -3306,7 +3318,7 @@
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@@ -3318,7 +3330,7 @@
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@@ -3331,7 +3343,7 @@
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@@ -3343,7 +3355,7 @@
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@@ -3353,7 +3365,7 @@
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@@ -3365,7 +3377,7 @@
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@@ -3377,7 +3389,7 @@
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@@ -3388,7 +3400,7 @@
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@@ -3400,7 +3412,7 @@
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@@ -3419,7 +3431,7 @@
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@@ -3432,7 +3444,7 @@
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@@ -3442,7 +3454,7 @@
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@@ -3454,7 +3466,7 @@
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@@ -3464,7 +3476,7 @@
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@@ -3476,7 +3488,7 @@
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@@ -3486,7 +3498,7 @@
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@@ -3498,7 +3510,7 @@
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@@ -3509,7 +3521,7 @@
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@@ -3521,7 +3533,7 @@
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@@ -3531,7 +3543,7 @@
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@@ -3543,7 +3555,7 @@
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@@ -3553,7 +3565,7 @@
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@@ -3565,7 +3577,7 @@
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@@ -3586,21 +3598,7 @@
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-   "metadata": {
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-   },
-   "source": [
-    "## Some useful matrix and vector expressions\n",
-    "\n",
-    "See the handwritten notes at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2022/NotesExercise5Week452022.pdf>\n",
-    "\n",
-    "These notes will be discussed during one of the lectures."
-   ]
-  },
-  {
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+   "id": "ca00624d",
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@@ -3611,7 +3609,7 @@
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@@ -3623,7 +3621,7 @@
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@@ -3633,7 +3631,7 @@
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@@ -3645,7 +3643,7 @@
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@@ -3667,7 +3665,7 @@
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@@ -3679,7 +3677,7 @@
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@@ -3693,7 +3691,7 @@
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-   "id": "87fb9b2a",
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@@ -3708,7 +3706,7 @@
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@@ -3719,7 +3717,7 @@
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@@ -3732,7 +3730,7 @@
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@@ -3743,7 +3741,7 @@
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@@ -3766,7 +3764,7 @@
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@@ -3793,7 +3791,7 @@
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@@ -3804,7 +3802,7 @@
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@@ -3816,7 +3814,7 @@
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@@ -3827,7 +3825,7 @@
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@@ -3843,7 +3841,7 @@
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@@ -3854,7 +3852,7 @@
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@@ -3868,7 +3866,7 @@
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@@ -3890,7 +3888,7 @@
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@@ -3902,7 +3900,7 @@
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@@ -3912,7 +3910,7 @@
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@@ -3924,7 +3922,7 @@
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@@ -3936,7 +3934,7 @@
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@@ -3946,7 +3944,7 @@
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@@ -3958,7 +3956,7 @@
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@@ -3968,7 +3966,7 @@
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@@ -3980,7 +3978,7 @@
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@@ -3990,7 +3988,7 @@
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@@ -4002,7 +4000,7 @@
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@@ -4014,7 +4012,7 @@
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@@ -4024,7 +4022,7 @@
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@@ -4036,7 +4034,7 @@
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@@ -4046,7 +4044,7 @@
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@@ -4058,7 +4056,7 @@
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@@ -4070,7 +4068,7 @@
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@@ -4082,7 +4080,7 @@
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@@ -4092,7 +4090,7 @@
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@@ -4104,7 +4102,7 @@
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@@ -4114,7 +4112,7 @@
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@@ -4126,7 +4124,7 @@
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@@ -4136,7 +4134,7 @@
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@@ -4148,7 +4146,7 @@
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@@ -4159,7 +4157,7 @@
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@@ -4171,7 +4169,7 @@
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@@ -4181,7 +4179,7 @@
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@@ -4193,7 +4191,7 @@
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@@ -4203,7 +4201,7 @@
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@@ -4215,7 +4213,7 @@
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@@ -4228,7 +4226,7 @@
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@@ -4240,7 +4238,7 @@
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@@ -4252,7 +4250,7 @@
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@@ -4264,7 +4262,7 @@
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@@ -4276,7 +4274,7 @@
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@@ -4288,7 +4286,7 @@
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@@ -4298,7 +4296,7 @@
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@@ -4310,7 +4308,7 @@
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@@ -4322,7 +4320,7 @@
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@@ -4335,7 +4333,7 @@
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@@ -4362,7 +4360,7 @@
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@@ -4373,7 +4371,7 @@
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@@ -4469,7 +4467,7 @@
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@@ -4484,7 +4482,7 @@
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@@ -4506,7 +4504,7 @@
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@@ -4581,7 +4579,7 @@
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@@ -4593,7 +4591,7 @@
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@@ -4662,7 +4660,7 @@
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@@ -4676,7 +4674,7 @@
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@@ -4689,7 +4687,7 @@
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@@ -4703,7 +4701,7 @@
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@@ -4716,7 +4714,7 @@
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@@ -4727,7 +4725,7 @@
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@@ -4739,7 +4737,7 @@
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@@ -4749,7 +4747,7 @@
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@@ -4761,7 +4759,7 @@
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@@ -4772,7 +4770,7 @@
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@@ -4791,7 +4789,7 @@
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@@ -4807,7 +4805,7 @@
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@@ -4817,7 +4815,7 @@
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@@ -4828,7 +4826,7 @@
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@@ -4840,7 +4838,7 @@
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