diff --git a/doc/pub/week35/html/._week35-bs067.html b/doc/pub/week35/html/._week35-bs067.html
index e68f8a4d3..3ff61f699 100644
--- a/doc/pub/week35/html/._week35-bs067.html
+++ b/doc/pub/week35/html/._week35-bs067.html
@@ -298,7 +298,7 @@ $$
 
 <p>In this case the standard OLS results in </p>
 $$
-\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_j\boldsymbol{u}_j^T\boldsymbol{y},
+\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{n-1}\boldsymbol{u}_i\boldsymbol{u}_i^T\boldsymbol{y},
 $$
 
 <p>and</p>
diff --git a/doc/pub/week35/html/._week35-bs068.html b/doc/pub/week35/html/._week35-bs068.html
index 94e0baaef..39c9b7811 100644
--- a/doc/pub/week35/html/._week35-bs068.html
+++ b/doc/pub/week35/html/._week35-bs068.html
@@ -309,7 +309,7 @@ $$
 
 <p>and reordering we have</p>
 $$
-\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T(\boldsymbol{y}.
+\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}.
 $$
 
 <p>This equation does not lead to a nice analytical equation as in either Ridge regression or ordinary least squares. This equation can however be solved by using standard convex optimization algorithms using for example the Python package <a href="https://cvxopt.org/" target="_self">CVXOPT</a>. We will discuss this later. </p>
diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html
index 41be6887b..e502d9141 100644
--- a/doc/pub/week35/html/week35-reveal.html
+++ b/doc/pub/week35/html/week35-reveal.html
@@ -3422,7 +3422,7 @@ $$
 <p>In this case the standard OLS results in </p>
 <p>&nbsp;<br>
 $$
-\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_j\boldsymbol{u}_j^T\boldsymbol{y},
+\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{n-1}\boldsymbol{u}_i\boldsymbol{u}_i^T\boldsymbol{y},
 $$
 <p>&nbsp;<br>
 
@@ -3475,7 +3475,7 @@ $$
 <p>and reordering we have</p>
 <p>&nbsp;<br>
 $$
-\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T(\boldsymbol{y}.
+\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}.
 $$
 <p>&nbsp;<br>
 
diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html
index 7ab9c6b94..0eede8123 100644
--- a/doc/pub/week35/html/week35-solarized.html
+++ b/doc/pub/week35/html/week35-solarized.html
@@ -3273,7 +3273,7 @@ $$
 
 <p>In this case the standard OLS results in </p>
 $$
-\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_j\boldsymbol{u}_j^T\boldsymbol{y},
+\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{n-1}\boldsymbol{u}_i\boldsymbol{u}_i^T\boldsymbol{y},
 $$
 
 <p>and</p>
@@ -3315,7 +3315,7 @@ $$
 
 <p>and reordering we have</p>
 $$
-\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T(\boldsymbol{y}.
+\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}.
 $$
 
 <p>This equation does not lead to a nice analytical equation as in either Ridge regression or ordinary least squares. This equation can however be solved by using standard convex optimization algorithms using for example the Python package <a href="https://cvxopt.org/" target="_blank">CVXOPT</a>. We will discuss this later. </p>
diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html
index 2b25b574a..2176d58d8 100644
--- a/doc/pub/week35/html/week35.html
+++ b/doc/pub/week35/html/week35.html
@@ -3350,7 +3350,7 @@ $$
 
 <p>In this case the standard OLS results in </p>
 $$
-\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{p-1}\boldsymbol{u}_j\boldsymbol{u}_j^T\boldsymbol{y},
+\boldsymbol{\beta}^{\mathrm{OLS}} = \boldsymbol{X}^T\boldsymbol{y}=\sum_{i=0}^{n-1}\boldsymbol{u}_i\boldsymbol{u}_i^T\boldsymbol{y},
 $$
 
 <p>and</p>
@@ -3392,7 +3392,7 @@ $$
 
 <p>and reordering we have</p>
 $$
-\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta})+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T(\boldsymbol{y}.
+\boldsymbol{X}^T\boldsymbol{X}\boldsymbol{\beta}+\lambda sgn(\boldsymbol{\beta})=2\boldsymbol{X}^T\boldsymbol{y}.
 $$
 
 <p>This equation does not lead to a nice analytical equation as in either Ridge regression or ordinary least squares. This equation can however be solved by using standard convex optimization algorithms using for example the Python package <a href="https://cvxopt.org/" target="_blank">CVXOPT</a>. We will discuss this later. </p>
diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz
index a26932bac..26f96ced5 100644
Binary files a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz and b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz differ
diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb
index 4d86b9cf6..37d1d4cf2 100644
--- a/doc/pub/week35/ipynb/week35.ipynb
+++ b/doc/pub/week35/ipynb/week35.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8e175d5a",
+   "id": "b109b234",
    "metadata": {
     "editable": true
    },
@@ -20,7 +20,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "efd5d0a0",
+   "id": "ed93c00b",
    "metadata": {
     "editable": true
    },
@@ -40,7 +40,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "302a1b22",
+   "id": "e65ab056",
    "metadata": {
     "editable": true
    },
@@ -60,7 +60,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f4473d30",
+   "id": "535c3486",
    "metadata": {
     "editable": true
    },
@@ -81,7 +81,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33a1b947",
+   "id": "84593acf",
    "metadata": {
     "editable": true
    },
@@ -115,7 +115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d51212df",
+   "id": "28cb4435",
    "metadata": {
     "editable": true
    },
@@ -137,7 +137,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "299c8a3d",
+   "id": "84b0eb7e",
    "metadata": {
     "editable": true
    },
@@ -165,7 +165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35745511",
+   "id": "e3536703",
    "metadata": {
     "editable": true
    },
@@ -180,7 +180,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf41404e",
+   "id": "a638593e",
    "metadata": {
     "editable": true
    },
@@ -192,7 +192,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8dcdfca0",
+   "id": "ce5807c8",
    "metadata": {
     "editable": true
    },
@@ -207,7 +207,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7514f515",
+   "id": "a2083dc6",
    "metadata": {
     "editable": true
    },
@@ -220,7 +220,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6b10ecb",
+   "id": "34fac796",
    "metadata": {
     "editable": true
    },
@@ -232,7 +232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae49caac",
+   "id": "965c1ad9",
    "metadata": {
     "editable": true
    },
@@ -242,7 +242,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74ec8984",
+   "id": "a46040fd",
    "metadata": {
     "editable": true
    },
@@ -253,7 +253,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "df8d2abd",
+   "id": "77a13848",
    "metadata": {
     "editable": true
    },
@@ -271,7 +271,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60371ba3",
+   "id": "9d9ee322",
    "metadata": {
     "editable": true
    },
@@ -282,7 +282,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a4eced1",
+   "id": "6aaa96aa",
    "metadata": {
     "editable": true
    },
@@ -294,7 +294,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a6fda56b",
+   "id": "5ddaf2f9",
    "metadata": {
     "editable": true
    },
@@ -304,7 +304,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "420f587f",
+   "id": "0256c3e2",
    "metadata": {
     "editable": true
    },
@@ -316,7 +316,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a1c45a0",
+   "id": "2e88338a",
    "metadata": {
     "editable": true
    },
@@ -326,7 +326,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db6b187c",
+   "id": "c3f55c66",
    "metadata": {
     "editable": true
    },
@@ -338,7 +338,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53da00f0",
+   "id": "0a49921d",
    "metadata": {
     "editable": true
    },
@@ -348,7 +348,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc495e50",
+   "id": "c38f63ca",
    "metadata": {
     "editable": true
    },
@@ -367,7 +367,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e92a2c9",
+   "id": "696864de",
    "metadata": {
     "editable": true
    },
@@ -377,7 +377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5023e77e",
+   "id": "9f1a0fe9",
    "metadata": {
     "editable": true
    },
@@ -389,7 +389,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "def045d0",
+   "id": "3ffe9faa",
    "metadata": {
     "editable": true
    },
@@ -399,7 +399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc7a8c92",
+   "id": "bf00548b",
    "metadata": {
     "editable": true
    },
@@ -415,7 +415,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "615705cf",
+   "id": "07916723",
    "metadata": {
     "editable": true
    },
@@ -435,7 +435,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ccbed680",
+   "id": "54b12b3e",
    "metadata": {
     "editable": true
    },
@@ -445,7 +445,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "62badc6e",
+   "id": "d1e8c587",
    "metadata": {
     "editable": true
    },
@@ -456,7 +456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a174a96",
+   "id": "64f2657e",
    "metadata": {
     "editable": true
    },
@@ -475,7 +475,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9edd0e75",
+   "id": "3a646a5d",
    "metadata": {
     "editable": true
    },
@@ -485,7 +485,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5b0ffe2",
+   "id": "30c3a9ff",
    "metadata": {
     "editable": true
    },
@@ -497,7 +497,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d61d2f9",
+   "id": "19575373",
    "metadata": {
     "editable": true
    },
@@ -507,7 +507,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2933d19e",
+   "id": "82cfc9c9",
    "metadata": {
     "editable": true
    },
@@ -518,7 +518,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6fd58844",
+   "id": "a5c9a81e",
    "metadata": {
     "editable": true
    },
@@ -538,7 +538,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "40fca90a",
+   "id": "6c54a470",
    "metadata": {
     "editable": true
    },
@@ -550,7 +550,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "579f106c",
+   "id": "29aa08fe",
    "metadata": {
     "editable": true
    },
@@ -565,7 +565,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "b8a680e4",
+   "id": "b78478d5",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -647,7 +647,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8a29e8bf",
+   "id": "3c43beba",
    "metadata": {
     "editable": true
    },
@@ -657,7 +657,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc9ad646",
+   "id": "7f601840",
    "metadata": {
     "editable": true
    },
@@ -669,7 +669,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0829de46",
+   "id": "ebf8350c",
    "metadata": {
     "editable": true
    },
@@ -679,7 +679,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60d85916",
+   "id": "d6fc746e",
    "metadata": {
     "editable": true
    },
@@ -690,7 +690,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0e649b7",
+   "id": "f1b903e4",
    "metadata": {
     "editable": true
    },
@@ -702,7 +702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cb71c9d6",
+   "id": "fa10624f",
    "metadata": {
     "editable": true
    },
@@ -712,7 +712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd6ec49a",
+   "id": "b65863eb",
    "metadata": {
     "editable": true
    },
@@ -724,7 +724,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "102396e4",
+   "id": "4650e52d",
    "metadata": {
     "editable": true
    },
@@ -734,7 +734,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "307427b0",
+   "id": "d22a3a81",
    "metadata": {
     "editable": true
    },
@@ -746,7 +746,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4555a6c7",
+   "id": "7c7a49dd",
    "metadata": {
     "editable": true
    },
@@ -759,7 +759,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "586ab36e",
+   "id": "fe88bbe8",
    "metadata": {
     "editable": true
    },
@@ -771,7 +771,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b49e4b9d",
+   "id": "d6f9b364",
    "metadata": {
     "editable": true
    },
@@ -781,7 +781,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce814e00",
+   "id": "9eb6198f",
    "metadata": {
     "editable": true
    },
@@ -793,7 +793,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b534e37",
+   "id": "46a25844",
    "metadata": {
     "editable": true
    },
@@ -805,7 +805,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "39d75e2e",
+   "id": "35cf45ce",
    "metadata": {
     "editable": true
    },
@@ -816,7 +816,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f55481da",
+   "id": "54f61fc3",
    "metadata": {
     "editable": true
    },
@@ -828,7 +828,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b5a8fea",
+   "id": "0cdf0d1f",
    "metadata": {
     "editable": true
    },
@@ -847,7 +847,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c5e5390",
+   "id": "1d7eb53c",
    "metadata": {
     "editable": true
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@@ -860,7 +860,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "64c3da15",
+   "id": "237a4b8e",
    "metadata": {
     "editable": true
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@@ -870,7 +870,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "09fd26cb",
+   "id": "90363764",
    "metadata": {
     "editable": true
    },
@@ -882,7 +882,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c18876cf",
+   "id": "82abe15c",
    "metadata": {
     "editable": true
    },
@@ -892,7 +892,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b1ce85b2",
+   "id": "8fedb651",
    "metadata": {
     "editable": true
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@@ -904,7 +904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec38a39c",
+   "id": "6f903841",
    "metadata": {
     "editable": true
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@@ -914,7 +914,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f61cc01",
+   "id": "0d2128e1",
    "metadata": {
     "editable": true
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@@ -926,7 +926,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9596e1bb",
+   "id": "9c30f01a",
    "metadata": {
     "editable": true
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@@ -937,7 +937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "546363c3",
+   "id": "c3433b04",
    "metadata": {
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@@ -949,7 +949,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2bd499be",
+   "id": "d3284fbd",
    "metadata": {
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@@ -959,7 +959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "731d0bbf",
+   "id": "b29671ac",
    "metadata": {
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@@ -971,7 +971,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b76af107",
+   "id": "cc067027",
    "metadata": {
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@@ -981,7 +981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "761a2c8b",
+   "id": "212c6c1e",
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     "editable": true
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@@ -993,7 +993,7 @@
   },
   {
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+   "id": "ace2cb1e",
    "metadata": {
     "editable": true
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@@ -1014,7 +1014,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5f54485",
+   "id": "ac80593e",
    "metadata": {
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@@ -1027,7 +1027,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e246721",
+   "id": "4e23a417",
    "metadata": {
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@@ -1039,7 +1039,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7183976",
+   "id": "bc6246c4",
    "metadata": {
     "editable": true
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@@ -1051,7 +1051,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7393b91",
+   "id": "ec4dae4f",
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@@ -1063,7 +1063,7 @@
   },
   {
    "cell_type": "markdown",
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+   "id": "7075ca98",
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@@ -1075,7 +1075,7 @@
   },
   {
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-   "id": "80613fb9",
+   "id": "ea8e4186",
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@@ -1085,7 +1085,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4ab974e2",
+   "id": "6ad20222",
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@@ -1101,7 +1101,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "561f933c",
+   "id": "d23e4f7a",
    "metadata": {
     "editable": true
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@@ -1113,7 +1113,7 @@
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@@ -1123,7 +1123,7 @@
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@@ -1135,7 +1135,7 @@
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@@ -1153,7 +1153,7 @@
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@@ -1164,7 +1164,7 @@
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@@ -1176,7 +1176,7 @@
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@@ -1186,7 +1186,7 @@
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@@ -1198,7 +1198,7 @@
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@@ -1208,7 +1208,7 @@
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@@ -1220,7 +1220,7 @@
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@@ -1230,7 +1230,7 @@
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@@ -1244,7 +1244,7 @@
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@@ -1259,7 +1259,7 @@
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@@ -1270,7 +1270,7 @@
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@@ -1283,7 +1283,7 @@
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@@ -1294,7 +1294,7 @@
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@@ -1317,7 +1317,7 @@
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@@ -1331,7 +1331,7 @@
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@@ -1344,7 +1344,7 @@
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@@ -1355,7 +1355,7 @@
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@@ -1367,7 +1367,7 @@
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@@ -1378,7 +1378,7 @@
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@@ -1394,7 +1394,7 @@
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@@ -1405,7 +1405,7 @@
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@@ -1419,7 +1419,7 @@
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@@ -1440,7 +1440,7 @@
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@@ -1451,7 +1451,7 @@
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@@ -1500,7 +1500,7 @@
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@@ -1511,7 +1511,7 @@
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@@ -1536,7 +1536,7 @@
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@@ -1548,7 +1548,7 @@
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@@ -1592,7 +1592,7 @@
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@@ -1604,7 +1604,7 @@
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@@ -1620,7 +1620,7 @@
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@@ -1631,7 +1631,7 @@
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@@ -1649,7 +1649,7 @@
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@@ -1660,7 +1660,7 @@
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@@ -1674,7 +1674,7 @@
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@@ -1685,7 +1685,7 @@
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@@ -1698,7 +1698,7 @@
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@@ -1709,7 +1709,7 @@
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@@ -1726,7 +1726,7 @@
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@@ -1737,7 +1737,7 @@
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@@ -1753,7 +1753,7 @@
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@@ -1764,7 +1764,7 @@
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@@ -1788,7 +1788,7 @@
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@@ -1799,7 +1799,7 @@
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@@ -1812,7 +1812,7 @@
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@@ -1823,7 +1823,7 @@
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@@ -1843,7 +1843,7 @@
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@@ -1854,7 +1854,7 @@
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@@ -1897,7 +1897,7 @@
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@@ -1912,7 +1912,7 @@
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@@ -1941,7 +1941,7 @@
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@@ -1966,7 +1966,7 @@
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@@ -1986,7 +1986,7 @@
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@@ -2013,7 +2013,7 @@
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@@ -2026,7 +2026,7 @@
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@@ -2038,7 +2038,7 @@
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@@ -2049,7 +2049,7 @@
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@@ -2065,7 +2065,7 @@
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@@ -2099,7 +2099,7 @@
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@@ -2109,7 +2109,7 @@
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@@ -2124,7 +2124,7 @@
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@@ -2136,7 +2136,7 @@
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@@ -2146,7 +2146,7 @@
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@@ -2162,7 +2162,7 @@
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@@ -2179,7 +2179,7 @@
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@@ -2192,7 +2192,7 @@
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@@ -2239,7 +2239,7 @@
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@@ -2250,7 +2250,7 @@
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@@ -2353,7 +2353,7 @@
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@@ -2367,7 +2367,7 @@
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@@ -2379,7 +2379,7 @@
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@@ -2391,7 +2391,7 @@
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@@ -2403,7 +2403,7 @@
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@@ -2413,7 +2413,7 @@
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@@ -2425,7 +2425,7 @@
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@@ -2435,7 +2435,7 @@
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@@ -2447,7 +2447,7 @@
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@@ -2458,7 +2458,7 @@
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@@ -2470,7 +2470,7 @@
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@@ -2482,7 +2482,7 @@
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@@ -2492,7 +2492,7 @@
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@@ -2504,7 +2504,7 @@
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@@ -2516,7 +2516,7 @@
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@@ -2526,7 +2526,7 @@
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@@ -2538,7 +2538,7 @@
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@@ -2548,7 +2548,7 @@
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@@ -2560,7 +2560,7 @@
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@@ -2570,7 +2570,7 @@
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@@ -2610,7 +2610,7 @@
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@@ -2627,7 +2627,7 @@
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@@ -2650,7 +2650,7 @@
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@@ -2667,7 +2667,7 @@
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@@ -2686,7 +2686,7 @@
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@@ -2697,7 +2697,7 @@
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@@ -2709,7 +2709,7 @@
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@@ -2727,7 +2727,7 @@
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@@ -2743,7 +2743,7 @@
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@@ -2755,7 +2755,7 @@
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@@ -2765,7 +2765,7 @@
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@@ -2780,7 +2780,7 @@
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@@ -2792,7 +2792,7 @@
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@@ -2802,7 +2802,7 @@
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@@ -2814,7 +2814,7 @@
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@@ -2824,7 +2824,7 @@
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@@ -2836,7 +2836,7 @@
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@@ -2848,7 +2848,7 @@
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@@ -2863,7 +2863,7 @@
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@@ -2874,7 +2874,7 @@
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@@ -2894,7 +2894,7 @@
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@@ -2906,7 +2906,7 @@
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@@ -2916,7 +2916,7 @@
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@@ -2928,7 +2928,7 @@
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@@ -2957,7 +2957,7 @@
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@@ -2984,7 +2984,7 @@
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@@ -2995,7 +2995,7 @@
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@@ -3035,7 +3035,7 @@
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@@ -3052,7 +3052,7 @@
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@@ -3075,7 +3075,7 @@
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@@ -3085,7 +3085,7 @@
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@@ -3099,7 +3099,7 @@
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@@ -3118,7 +3118,7 @@
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@@ -3128,7 +3128,7 @@
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@@ -3140,7 +3140,7 @@
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@@ -3154,7 +3154,7 @@
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@@ -3166,7 +3166,7 @@
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@@ -3176,7 +3176,7 @@
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@@ -3188,7 +3188,7 @@
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@@ -3205,7 +3205,7 @@
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@@ -3215,7 +3215,7 @@
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@@ -3231,7 +3231,7 @@
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@@ -3241,7 +3241,7 @@
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@@ -3257,7 +3257,7 @@
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@@ -3267,7 +3267,7 @@
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@@ -3283,7 +3283,7 @@
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@@ -3293,7 +3293,7 @@
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@@ -3310,7 +3310,7 @@
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@@ -3322,7 +3322,7 @@
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@@ -3334,7 +3334,7 @@
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@@ -3346,7 +3346,7 @@
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@@ -3356,7 +3356,7 @@
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@@ -3368,7 +3368,7 @@
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@@ -3380,7 +3380,7 @@
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@@ -3392,7 +3392,7 @@
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@@ -3402,7 +3402,7 @@
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@@ -3414,7 +3414,7 @@
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@@ -3424,7 +3424,7 @@
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@@ -3436,7 +3436,7 @@
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@@ -3446,7 +3446,7 @@
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@@ -3458,7 +3458,7 @@
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@@ -3470,7 +3470,7 @@
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@@ -3480,7 +3480,7 @@
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@@ -3492,7 +3492,7 @@
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@@ -3503,7 +3503,7 @@
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@@ -3515,7 +3515,7 @@
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@@ -3525,7 +3525,7 @@
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@@ -3537,7 +3537,7 @@
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@@ -3547,7 +3547,7 @@
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@@ -3559,7 +3559,7 @@
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@@ -3570,7 +3570,7 @@
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@@ -3582,7 +3582,7 @@
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@@ -3600,7 +3600,7 @@
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@@ -3616,7 +3616,7 @@
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@@ -3628,7 +3628,7 @@
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@@ -3640,7 +3640,7 @@
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@@ -3652,7 +3652,7 @@
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@@ -3665,7 +3665,7 @@
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@@ -3681,7 +3681,7 @@
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@@ -3695,7 +3695,7 @@
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@@ -3705,7 +3705,7 @@
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@@ -3717,7 +3717,7 @@
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@@ -3727,7 +3727,7 @@
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@@ -3739,7 +3739,7 @@
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@@ -3749,7 +3749,7 @@
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@@ -3763,7 +3763,7 @@
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@@ -3780,7 +3780,7 @@
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@@ -3796,7 +3796,7 @@
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@@ -3808,7 +3808,7 @@
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@@ -3821,7 +3821,7 @@
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@@ -3835,7 +3835,7 @@
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@@ -3845,7 +3845,7 @@
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@@ -3858,7 +3858,7 @@
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@@ -3877,7 +3877,7 @@
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@@ -3889,7 +3889,7 @@
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@@ -3901,7 +3901,7 @@
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@@ -3911,7 +3911,7 @@
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@@ -3923,7 +3923,7 @@
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@@ -3936,7 +3936,7 @@
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@@ -3955,7 +3955,7 @@
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@@ -3965,7 +3965,7 @@
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@@ -3984,7 +3984,7 @@
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@@ -4002,7 +4002,7 @@
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@@ -4016,7 +4016,7 @@
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@@ -4031,7 +4031,7 @@
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@@ -4052,7 +4052,7 @@
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@@ -4069,7 +4069,7 @@
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@@ -4101,7 +4101,7 @@
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@@ -4115,7 +4115,7 @@
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@@ -4128,7 +4128,7 @@
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+   "id": "4dbeed56",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4153,7 +4153,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a2c6abf",
+   "id": "8c324b80",
    "metadata": {
     "editable": true
    },
@@ -4163,7 +4163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "651b3bf2",
+   "id": "5ab24bc0",
    "metadata": {
     "editable": true
    },
@@ -4174,7 +4174,7 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "bf00e151",
+   "id": "a35ea01d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4228,7 +4228,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4344b726",
+   "id": "32e25b67",
    "metadata": {
     "editable": true
    },
@@ -4245,7 +4245,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ef68034c",
+   "id": "33f87554",
    "metadata": {
     "editable": true
    },
@@ -4257,7 +4257,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a79e8a85",
+   "id": "369d5004",
    "metadata": {
     "editable": true
    },
@@ -4269,7 +4269,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de2a4952",
+   "id": "8c9ab73d",
    "metadata": {
     "editable": true
    },
@@ -4279,7 +4279,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a861b9c",
+   "id": "2cddc639",
    "metadata": {
     "editable": true
    },
@@ -4296,7 +4296,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aed040de",
+   "id": "9cbc81cc",
    "metadata": {
     "editable": true
    },
@@ -4306,7 +4306,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50c21922",
+   "id": "b95ba62d",
    "metadata": {
     "editable": true
    },
@@ -4321,7 +4321,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "80f20482",
+   "id": "fc53334d",
    "metadata": {
     "editable": true
    },
@@ -4331,7 +4331,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce9eef4a",
+   "id": "14a0b2a4",
    "metadata": {
     "editable": true
    },
@@ -4345,7 +4345,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "54463f2d",
+   "id": "0c5c1094",
    "metadata": {
     "editable": true
    },
@@ -4357,7 +4357,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e97a3c6",
+   "id": "86fbeedd",
    "metadata": {
     "editable": true
    },
@@ -4369,7 +4369,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dce6ff0d",
+   "id": "90badfdc",
    "metadata": {
     "editable": true
    },
@@ -4381,7 +4381,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f3bddee",
+   "id": "6c17812b",
    "metadata": {
     "editable": true
    },
@@ -4391,7 +4391,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dbd0beb0",
+   "id": "ff7d103a",
    "metadata": {
     "editable": true
    },
@@ -4403,7 +4403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3fe47414",
+   "id": "c61db501",
    "metadata": {
     "editable": true
    },
@@ -4413,7 +4413,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9b27df0",
+   "id": "96238cf5",
    "metadata": {
     "editable": true
    },
@@ -4430,7 +4430,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9a1d833",
+   "id": "225ff1ee",
    "metadata": {
     "editable": true
    },
@@ -4440,7 +4440,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "11585b36",
+   "id": "71a1c2c8",
    "metadata": {
     "editable": true
    },
@@ -4452,7 +4452,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35c63f3b",
+   "id": "a931eaf4",
    "metadata": {
     "editable": true
    },
@@ -4462,7 +4462,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ce425e8",
+   "id": "5d978d36",
    "metadata": {
     "editable": true
    },
@@ -4474,7 +4474,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a923df30",
+   "id": "cbb6b994",
    "metadata": {
     "editable": true
    },
@@ -4488,7 +4488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44090651",
+   "id": "ccb4b0a7",
    "metadata": {
     "editable": true
    },
@@ -4500,7 +4500,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b33d4dc",
+   "id": "1a4f4b51",
    "metadata": {
     "editable": true
    },
@@ -4522,7 +4522,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d6132e7",
+   "id": "25a9068d",
    "metadata": {
     "editable": true
    },
@@ -4534,7 +4534,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2464a858",
+   "id": "c5120ab7",
    "metadata": {
     "editable": true
    },
@@ -4549,7 +4549,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c7ec6a6",
+   "id": "a6093c6b",
    "metadata": {
     "editable": true
    },
@@ -4561,7 +4561,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "851ba4fc",
+   "id": "0cbce9ce",
    "metadata": {
     "editable": true
    },
@@ -4573,7 +4573,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "33c94365",
+   "id": "a497e9bd",
    "metadata": {
     "editable": true
    },
@@ -4583,7 +4583,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "916a3697",
+   "id": "d1cc1892",
    "metadata": {
     "editable": true
    },
@@ -4595,7 +4595,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "916a2cd3",
+   "id": "5969d512",
    "metadata": {
     "editable": true
    },
@@ -4605,7 +4605,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cfcd14ea",
+   "id": "6b57a260",
    "metadata": {
     "editable": true
    },
@@ -4617,7 +4617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f844a10c",
+   "id": "d4f17a61",
    "metadata": {
     "editable": true
    },
@@ -4627,7 +4627,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b0602574",
+   "id": "9ca02785",
    "metadata": {
     "editable": true
    },
@@ -4639,7 +4639,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d9d69f56",
+   "id": "0392babd",
    "metadata": {
     "editable": true
    },
@@ -4656,7 +4656,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fb55f40",
+   "id": "24ef0b34",
    "metadata": {
     "editable": true
    },
@@ -4669,7 +4669,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6fb8ee38",
+   "id": "ffa48d72",
    "metadata": {
     "editable": true
    },
@@ -4681,7 +4681,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1dea524",
+   "id": "54e40100",
    "metadata": {
     "editable": true
    },
@@ -4691,7 +4691,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e12ba7e5",
+   "id": "5843321d",
    "metadata": {
     "editable": true
    },
@@ -4704,7 +4704,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88de077f",
+   "id": "77243d98",
    "metadata": {
     "editable": true
    },
@@ -4714,7 +4714,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "03296a16",
+   "id": "8bf8a520",
    "metadata": {
     "editable": true
    },
@@ -4726,7 +4726,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5f1a873",
+   "id": "fabcb1f8",
    "metadata": {
     "editable": true
    },
@@ -4739,7 +4739,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1edfc1d",
+   "id": "2fd5c5c3",
    "metadata": {
     "editable": true
    },
@@ -4752,7 +4752,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35c10ba8",
+   "id": "279df576",
    "metadata": {
     "editable": true
    },
@@ -4764,7 +4764,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8fa62f27",
+   "id": "66ca3039",
    "metadata": {
     "editable": true
    },
@@ -4776,7 +4776,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf9ef828",
+   "id": "744a96a1",
    "metadata": {
     "editable": true
    },
@@ -4786,7 +4786,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98c57603",
+   "id": "8f01d653",
    "metadata": {
     "editable": true
    },
@@ -4799,7 +4799,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1afa1f62",
+   "id": "125fb153",
    "metadata": {
     "editable": true
    },
@@ -4811,7 +4811,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c67a2be",
+   "id": "dccdab4d",
    "metadata": {
     "editable": true
    },
@@ -4823,7 +4823,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d740a7b2",
+   "id": "c92ed152",
    "metadata": {
     "editable": true
    },
@@ -4835,7 +4835,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81a327c5",
+   "id": "76d656b5",
    "metadata": {
     "editable": true
    },
@@ -4847,7 +4847,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "36f681fc",
+   "id": "67695263",
    "metadata": {
     "editable": true
    },
@@ -4861,7 +4861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1fdd12bc",
+   "id": "e8a5d552",
    "metadata": {
     "editable": true
    },
@@ -4873,7 +4873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "986f4325",
+   "id": "1308cbc5",
    "metadata": {
     "editable": true
    },
@@ -4883,7 +4883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1eb07029",
+   "id": "43967467",
    "metadata": {
     "editable": true
    },
@@ -4895,7 +4895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fac6638e",
+   "id": "ad6ccba7",
    "metadata": {
     "editable": true
    },
@@ -4907,7 +4907,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "440dc9e5",
+   "id": "a4464bf0",
    "metadata": {
     "editable": true
    },
@@ -4919,7 +4919,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae500681",
+   "id": "1782192b",
    "metadata": {
     "editable": true
    },
@@ -4931,7 +4931,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "085b95a6",
+   "id": "ab3777f8",
    "metadata": {
     "editable": true
    },
@@ -4943,7 +4943,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "532b712d",
+   "id": "f38b5f46",
    "metadata": {
     "editable": true
    },
@@ -4962,7 +4962,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6bdada2e",
+   "id": "10dacca9",
    "metadata": {
     "editable": true
    },
@@ -4974,7 +4974,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17b6f4bd",
+   "id": "640848ae",
    "metadata": {
     "editable": true
    },
@@ -4984,7 +4984,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0fd59df8",
+   "id": "db92dc9e",
    "metadata": {
     "editable": true
    },
@@ -4996,7 +4996,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3cc762e3",
+   "id": "eab68d0c",
    "metadata": {
     "editable": true
    },
@@ -5006,7 +5006,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "84194607",
+   "id": "68aeb560",
    "metadata": {
     "editable": true
    },
@@ -5018,7 +5018,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1f0156ff",
+   "id": "588c7e2e",
    "metadata": {
     "editable": true
    },
@@ -5030,7 +5030,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0d7b8f2",
+   "id": "c7992acd",
    "metadata": {
     "editable": true
    },
@@ -5046,7 +5046,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "27b94d49",
+   "id": "a8959b7c",
    "metadata": {
     "editable": true
    },
@@ -5058,7 +5058,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0388b178",
+   "id": "886b8246",
    "metadata": {
     "editable": true
    },
@@ -5070,7 +5070,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "583479e3",
+   "id": "dcea7a7b",
    "metadata": {
     "editable": true
    },
@@ -5080,19 +5080,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cb77f1d6",
+   "id": "ad9b2d55",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "\\boldsymbol{\\beta}^{\\mathrm{OLS}} = \\boldsymbol{X}^T\\boldsymbol{y}=\\sum_{i=0}^{p-1}\\boldsymbol{u}_j\\boldsymbol{u}_j^T\\boldsymbol{y},\n",
+    "\\boldsymbol{\\beta}^{\\mathrm{OLS}} = \\boldsymbol{X}^T\\boldsymbol{y}=\\sum_{i=0}^{n-1}\\boldsymbol{u}_i\\boldsymbol{u}_i^T\\boldsymbol{y},\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c53475f9",
+   "id": "0492e632",
    "metadata": {
     "editable": true
    },
@@ -5102,7 +5102,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d28c2ef",
+   "id": "f4abd4df",
    "metadata": {
     "editable": true
    },
@@ -5114,7 +5114,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0aafdad",
+   "id": "8418b391",
    "metadata": {
     "editable": true
    },
@@ -5131,7 +5131,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d48e776",
+   "id": "40b25e7e",
    "metadata": {
     "editable": true
    },
@@ -5143,7 +5143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "008f1e1a",
+   "id": "8e40c6a9",
    "metadata": {
     "editable": true
    },
@@ -5155,7 +5155,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91f72bf4",
+   "id": "20ae4258",
    "metadata": {
     "editable": true
    },
@@ -5165,7 +5165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "71427435",
+   "id": "7ff45215",
    "metadata": {
     "editable": true
    },
@@ -5177,7 +5177,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3ff8dfd6",
+   "id": "ee25927c",
    "metadata": {
     "editable": true
    },
@@ -5187,7 +5187,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2713600a",
+   "id": "a012d6f6",
    "metadata": {
     "editable": true
    },
@@ -5199,7 +5199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b82335f",
+   "id": "b2bbd19d",
    "metadata": {
     "editable": true
    },
@@ -5209,19 +5209,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "abcf4e4f",
+   "id": "97ee5f53",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "\\boldsymbol{X}^T\\boldsymbol{X}\\boldsymbol{\\beta})+\\lambda sgn(\\boldsymbol{\\beta})=2\\boldsymbol{X}^T(\\boldsymbol{y}.\n",
+    "\\boldsymbol{X}^T\\boldsymbol{X}\\boldsymbol{\\beta}+\\lambda sgn(\\boldsymbol{\\beta})=2\\boldsymbol{X}^T\\boldsymbol{y}.\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "4f70e334",
+   "id": "5d37091f",
    "metadata": {
     "editable": true
    },
@@ -5231,7 +5231,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad8f2cb3",
+   "id": "9ba403dc",
    "metadata": {
     "editable": true
    },
@@ -5243,7 +5243,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c238663d",
+   "id": "20652618",
    "metadata": {
     "editable": true
    },
@@ -5312,7 +5312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d00c824",
+   "id": "2cc3e801",
    "metadata": {
     "editable": true
    },
@@ -5326,7 +5326,7 @@
   {
    "cell_type": "code",
    "execution_count": 31,
-   "id": "f0e83cdf",
+   "id": "deabb669",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5339,7 +5339,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ff138401",
+   "id": "7f2ecb4d",
    "metadata": {
     "editable": true
    },
@@ -5353,7 +5353,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "101db986",
+   "id": "67091409",
    "metadata": {
     "editable": true
    },
@@ -5366,7 +5366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a62edc8",
+   "id": "0d32856a",
    "metadata": {
     "editable": true
    },
@@ -5377,7 +5377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50f0cadb",
+   "id": "b7ae4478",
    "metadata": {
     "editable": true
    },
@@ -5389,7 +5389,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c7edcdad",
+   "id": "02155b9f",
    "metadata": {
     "editable": true
    },
@@ -5399,7 +5399,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "62b9015b",
+   "id": "fedaa2dd",
    "metadata": {
     "editable": true
    },
@@ -5411,7 +5411,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d627278",
+   "id": "26838e91",
    "metadata": {
     "editable": true
    },
@@ -5427,7 +5427,7 @@
   {
    "cell_type": "code",
    "execution_count": 32,
-   "id": "a887af40",
+   "id": "801b893d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5478,7 +5478,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f9f1c4d8",
+   "id": "7bae7032",
    "metadata": {
     "editable": true
    },
@@ -5488,7 +5488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "99336353",
+   "id": "b330df33",
    "metadata": {
     "editable": true
    },
@@ -5534,7 +5534,7 @@
   {
    "cell_type": "code",
    "execution_count": 33,
-   "id": "302c9fa0",
+   "id": "8e246d6c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5547,7 +5547,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ca699506",
+   "id": "a171835d",
    "metadata": {
     "editable": true
    },
@@ -5558,7 +5558,7 @@
   {
    "cell_type": "code",
    "execution_count": 34,
-   "id": "97c02597",
+   "id": "4bfc2378",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5573,7 +5573,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c069f85",
+   "id": "be10d3d7",
    "metadata": {
     "editable": true
    },
@@ -5591,7 +5591,7 @@
   {
    "cell_type": "code",
    "execution_count": 35,
-   "id": "1c6c43e8",
+   "id": "9c249e40",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5608,7 +5608,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e0643e3",
+   "id": "a4535a62",
    "metadata": {
     "editable": true
    },
@@ -5618,7 +5618,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4ea532d",
+   "id": "9243fb0b",
    "metadata": {
     "editable": true
    },
@@ -5629,7 +5629,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7582209",
+   "id": "3bb5c62d",
    "metadata": {
     "editable": true
    },
@@ -5640,7 +5640,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "62976c8c",
+   "id": "c037d04f",
    "metadata": {
     "editable": true
    },
@@ -5651,7 +5651,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c97ac80b",
+   "id": "28905b3b",
    "metadata": {
     "editable": true
    },
@@ -5674,7 +5674,7 @@
   {
    "cell_type": "code",
    "execution_count": 36,
-   "id": "ce49ff9f",
+   "id": "0c7ec53b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5687,7 +5687,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4926a152",
+   "id": "f028c78e",
    "metadata": {
     "editable": true
    },
@@ -5702,7 +5702,7 @@
   {
    "cell_type": "code",
    "execution_count": 37,
-   "id": "9c0eeff6",
+   "id": "474e9cb7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5782,7 +5782,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7146ba2e",
+   "id": "e7a13738",
    "metadata": {
     "editable": true
    },
@@ -5797,7 +5797,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94e75adb",
+   "id": "25ee16a2",
    "metadata": {
     "editable": true
    },
@@ -5810,7 +5810,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c82a72a6",
+   "id": "a920816c",
    "metadata": {
     "editable": true
    },
@@ -5821,7 +5821,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2cc71556",
+   "id": "07d8f0df",
    "metadata": {
     "editable": true
    },
@@ -5833,7 +5833,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c76e6d71",
+   "id": "2a481d43",
    "metadata": {
     "editable": true
    },
@@ -5843,7 +5843,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac20648c",
+   "id": "a2dd2554",
    "metadata": {
     "editable": true
    },
@@ -5855,7 +5855,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e5f4ff8f",
+   "id": "6703a871",
    "metadata": {
     "editable": true
    },
@@ -5865,7 +5865,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "577462cb",
+   "id": "6ec1acd4",
    "metadata": {
     "editable": true
    },
@@ -5887,7 +5887,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf4d9eed",
+   "id": "907b3f99",
    "metadata": {
     "editable": true
    },
@@ -5899,7 +5899,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b46c75e",
+   "id": "6ffd9ebe",
    "metadata": {
     "editable": true
    },
@@ -5909,7 +5909,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c33cd998",
+   "id": "a3f4f18a",
    "metadata": {
     "editable": true
    },
@@ -5921,7 +5921,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b8b856cb",
+   "id": "b897dd61",
    "metadata": {
     "editable": true
    },
@@ -5931,7 +5931,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "34bad887",
+   "id": "8a12eb48",
    "metadata": {
     "editable": true
    },
@@ -5943,7 +5943,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f6a28c1",
+   "id": "e32745dc",
    "metadata": {
     "editable": true
    },
@@ -5956,7 +5956,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7cdaa29f",
+   "id": "be59299f",
    "metadata": {
     "editable": true
    },
@@ -5968,7 +5968,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d1248d28",
+   "id": "ee330648",
    "metadata": {
     "editable": true
    },
@@ -5978,7 +5978,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c81ad439",
+   "id": "171e4f5e",
    "metadata": {
     "editable": true
    },
@@ -5990,7 +5990,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "24d2e0ff",
+   "id": "ab6ab859",
    "metadata": {
     "editable": true
    },
@@ -6000,7 +6000,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07415a6f",
+   "id": "0da36db0",
    "metadata": {
     "editable": true
    },
@@ -6012,7 +6012,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "796845bb",
+   "id": "4c36e6e9",
    "metadata": {
     "editable": true
    },
@@ -6022,7 +6022,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c05f2e0",
+   "id": "a8fcf6a2",
    "metadata": {
     "editable": true
    },
diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt
index 988d9a59f..76af05aad 100644
--- a/doc/src/week35/week35.do.txt
+++ b/doc/src/week35/week35.do.txt
@@ -2456,7 +2456,7 @@ For the sake of simplicity, let us assume that the design matrix is orthonormal,
 In this case the standard OLS results in 
 !bt
 \[
-\bm{\beta}^{\mathrm{OLS}} = \bm{X}^T\bm{y}=\sum_{i=0}^{p-1}\bm{u}_j\bm{u}_j^T\bm{y},
+\bm{\beta}^{\mathrm{OLS}} = \bm{X}^T\bm{y}=\sum_{i=0}^{n-1}\bm{u}_i\bm{u}_i^T\bm{y},
 \]
 !et
 
@@ -2504,7 +2504,7 @@ we have that the derivative of the cost function is
 and reordering we have
 !bt
 \[
-\bm{X}^T\bm{X}\bm{\beta})+\lambda sgn(\bm{\beta})=2\bm{X}^T(\bm{y}.
+\bm{X}^T\bm{X}\bm{\beta}+\lambda sgn(\bm{\beta})=2\bm{X}^T\bm{y}.
 \]
 !et
 This equation does not lead to a nice analytical equation as in either Ridge regression or ordinary least squares. This equation can however be solved by using standard convex optimization algorithms using for example the Python package "CVXOPT":"https://cvxopt.org/". We will discuss this later.