diff --git a/doc/pub/week35/html/._week35-bs068.html b/doc/pub/week35/html/._week35-bs068.html
index 39c9b7811..f980e363c 100644
--- a/doc/pub/week35/html/._week35-bs068.html
+++ b/doc/pub/week35/html/._week35-bs068.html
@@ -298,7 +298,7 @@ $$
 
 <p>Taking the derivative with respect to \( \boldsymbol{\beta} \) and recalling that the derivative of the absolute value is (we drop the boldfaced vector symbol for simplicty)</p>
 $$
-\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\ 0 & \beta =0\\-1 & \beta < 0, \end{array}\right.
+\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right.
 $$
 
 <p>we have that the derivative of the cost function is</p>
diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html
index c7195b2a3..f4a5143cf 100644
--- a/doc/pub/week35/html/week35-reveal.html
+++ b/doc/pub/week35/html/week35-reveal.html
@@ -3465,7 +3465,7 @@ $$
 <p>Taking the derivative with respect to \( \boldsymbol{\beta} \) and recalling that the derivative of the absolute value is (we drop the boldfaced vector symbol for simplicty)</p>
 <p>&nbsp;<br>
 $$
-\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\ 0 & \beta =0\\-1 & \beta < 0, \end{array}\right.
+\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right.
 $$
 <p>&nbsp;<br>
 
diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html
index a17d8d38b..c30dee9d4 100644
--- a/doc/pub/week35/html/week35-solarized.html
+++ b/doc/pub/week35/html/week35-solarized.html
@@ -3309,7 +3309,7 @@ $$
 
 <p>Taking the derivative with respect to \( \boldsymbol{\beta} \) and recalling that the derivative of the absolute value is (we drop the boldfaced vector symbol for simplicty)</p>
 $$
-\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\ 0 & \beta =0\\-1 & \beta < 0, \end{array}\right.
+\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right.
 $$
 
 <p>we have that the derivative of the cost function is</p>
diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html
index 653392d4b..f4a1384ea 100644
--- a/doc/pub/week35/html/week35.html
+++ b/doc/pub/week35/html/week35.html
@@ -3386,7 +3386,7 @@ $$
 
 <p>Taking the derivative with respect to \( \boldsymbol{\beta} \) and recalling that the derivative of the absolute value is (we drop the boldfaced vector symbol for simplicty)</p>
 $$
-\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\ 0 & \beta =0\\-1 & \beta < 0, \end{array}\right.
+\frac{d \vert \beta\vert}{d \boldsymbol{\beta}}=\mathrm{sgn}(\boldsymbol{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right.
 $$
 
 <p>we have that the derivative of the cost function is</p>
diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz
index c4a6ba91b..2c86e862f 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 28ed1c129..4fcd85d64 100644
--- a/doc/pub/week35/ipynb/week35.ipynb
+++ b/doc/pub/week35/ipynb/week35.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "21524394",
+   "id": "2f558ffd",
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@@ -20,7 +20,7 @@
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-   "id": "70ea8b56",
+   "id": "ce7e9673",
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@@ -40,7 +40,7 @@
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+   "id": "09b88c3f",
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@@ -60,7 +60,7 @@
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@@ -81,7 +81,7 @@
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@@ -115,7 +115,7 @@
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+   "id": "c0469d8f",
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@@ -137,7 +137,7 @@
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@@ -165,7 +165,7 @@
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@@ -180,7 +180,7 @@
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@@ -192,7 +192,7 @@
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@@ -207,7 +207,7 @@
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+   "id": "9d352552",
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@@ -220,7 +220,7 @@
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+   "id": "ba340cc4",
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@@ -232,7 +232,7 @@
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-   "id": "739fa1d5",
+   "id": "916458fe",
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@@ -242,7 +242,7 @@
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+   "id": "4129e146",
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@@ -253,7 +253,7 @@
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@@ -271,7 +271,7 @@
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@@ -282,7 +282,7 @@
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@@ -294,7 +294,7 @@
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@@ -304,7 +304,7 @@
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@@ -316,7 +316,7 @@
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@@ -326,7 +326,7 @@
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@@ -338,7 +338,7 @@
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@@ -348,7 +348,7 @@
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@@ -367,7 +367,7 @@
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@@ -377,7 +377,7 @@
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@@ -389,7 +389,7 @@
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@@ -399,7 +399,7 @@
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@@ -415,7 +415,7 @@
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@@ -435,7 +435,7 @@
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@@ -445,7 +445,7 @@
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@@ -456,7 +456,7 @@
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+   "id": "7de0d9a9",
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@@ -475,7 +475,7 @@
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@@ -485,7 +485,7 @@
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@@ -497,7 +497,7 @@
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@@ -507,7 +507,7 @@
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@@ -518,7 +518,7 @@
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@@ -538,7 +538,7 @@
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+   "id": "690fc63e",
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@@ -550,7 +550,7 @@
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@@ -565,7 +565,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "5b414bef",
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@@ -647,7 +647,7 @@
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@@ -657,7 +657,7 @@
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@@ -669,7 +669,7 @@
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@@ -679,7 +679,7 @@
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@@ -690,7 +690,7 @@
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@@ -702,7 +702,7 @@
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@@ -712,7 +712,7 @@
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@@ -724,7 +724,7 @@
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@@ -734,7 +734,7 @@
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@@ -746,7 +746,7 @@
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@@ -759,7 +759,7 @@
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@@ -771,7 +771,7 @@
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@@ -781,7 +781,7 @@
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@@ -793,7 +793,7 @@
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@@ -805,7 +805,7 @@
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@@ -816,7 +816,7 @@
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@@ -828,7 +828,7 @@
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@@ -847,7 +847,7 @@
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@@ -860,7 +860,7 @@
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@@ -870,7 +870,7 @@
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@@ -882,7 +882,7 @@
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@@ -892,7 +892,7 @@
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@@ -904,7 +904,7 @@
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@@ -914,7 +914,7 @@
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@@ -926,7 +926,7 @@
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@@ -937,7 +937,7 @@
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@@ -949,7 +949,7 @@
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@@ -959,7 +959,7 @@
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@@ -971,7 +971,7 @@
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@@ -981,7 +981,7 @@
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@@ -993,7 +993,7 @@
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@@ -1014,7 +1014,7 @@
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@@ -1027,7 +1027,7 @@
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@@ -1039,7 +1039,7 @@
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@@ -1051,7 +1051,7 @@
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@@ -1063,7 +1063,7 @@
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@@ -1075,7 +1075,7 @@
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@@ -1085,7 +1085,7 @@
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@@ -1101,7 +1101,7 @@
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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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@@ -3450,7 +3450,7 @@
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@@ -3462,7 +3462,7 @@
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@@ -3474,7 +3474,7 @@
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@@ -3484,7 +3484,7 @@
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@@ -3496,7 +3496,7 @@
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@@ -3507,7 +3507,7 @@
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@@ -3519,7 +3519,7 @@
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@@ -3529,7 +3529,7 @@
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@@ -3541,7 +3541,7 @@
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@@ -3551,7 +3551,7 @@
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@@ -3563,7 +3563,7 @@
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@@ -3574,7 +3574,7 @@
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@@ -3586,7 +3586,7 @@
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@@ -3604,7 +3604,7 @@
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@@ -3620,7 +3620,7 @@
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@@ -3632,7 +3632,7 @@
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@@ -3644,7 +3644,7 @@
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@@ -3656,7 +3656,7 @@
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@@ -3669,7 +3669,7 @@
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@@ -3685,7 +3685,7 @@
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@@ -3699,7 +3699,7 @@
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@@ -3709,7 +3709,7 @@
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@@ -3721,7 +3721,7 @@
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@@ -3731,7 +3731,7 @@
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@@ -3743,7 +3743,7 @@
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@@ -3753,7 +3753,7 @@
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@@ -3767,7 +3767,7 @@
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@@ -3784,7 +3784,7 @@
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@@ -3800,7 +3800,7 @@
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@@ -3812,7 +3812,7 @@
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@@ -3825,7 +3825,7 @@
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@@ -3839,7 +3839,7 @@
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@@ -3849,7 +3849,7 @@
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@@ -3862,7 +3862,7 @@
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@@ -3881,7 +3881,7 @@
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@@ -3893,7 +3893,7 @@
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@@ -3905,7 +3905,7 @@
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@@ -3915,7 +3915,7 @@
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@@ -3927,7 +3927,7 @@
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@@ -3940,7 +3940,7 @@
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@@ -3959,7 +3959,7 @@
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@@ -3969,7 +3969,7 @@
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@@ -3988,7 +3988,7 @@
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@@ -4006,7 +4006,7 @@
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@@ -4020,7 +4020,7 @@
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@@ -4035,7 +4035,7 @@
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@@ -4056,7 +4056,7 @@
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@@ -4073,7 +4073,7 @@
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@@ -4105,7 +4105,7 @@
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@@ -4119,7 +4119,7 @@
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@@ -4132,7 +4132,7 @@
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@@ -4157,7 +4157,7 @@
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@@ -4167,7 +4167,7 @@
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@@ -4178,7 +4178,7 @@
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@@ -4232,7 +4232,7 @@
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@@ -4249,7 +4249,7 @@
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@@ -4261,7 +4261,7 @@
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@@ -4273,7 +4273,7 @@
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-   "id": "28c9206d",
+   "id": "8db14fdd",
    "metadata": {
     "editable": true
    },
@@ -4283,7 +4283,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b8b9183c",
+   "id": "b1b1acf1",
    "metadata": {
     "editable": true
    },
@@ -4300,7 +4300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f95f5a4",
+   "id": "1247129e",
    "metadata": {
     "editable": true
    },
@@ -4310,7 +4310,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2fec81ce",
+   "id": "f00a625a",
    "metadata": {
     "editable": true
    },
@@ -4325,7 +4325,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb1cb001",
+   "id": "a6d559e4",
    "metadata": {
     "editable": true
    },
@@ -4335,7 +4335,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4525f832",
+   "id": "68a44191",
    "metadata": {
     "editable": true
    },
@@ -4349,7 +4349,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa1c4526",
+   "id": "f8fc5708",
    "metadata": {
     "editable": true
    },
@@ -4361,7 +4361,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0dc2d512",
+   "id": "19761160",
    "metadata": {
     "editable": true
    },
@@ -4373,7 +4373,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f7eedd7",
+   "id": "0e5f4d93",
    "metadata": {
     "editable": true
    },
@@ -4385,7 +4385,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b500440",
+   "id": "45c48dc7",
    "metadata": {
     "editable": true
    },
@@ -4395,7 +4395,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8137b834",
+   "id": "f08e25c5",
    "metadata": {
     "editable": true
    },
@@ -4407,7 +4407,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5815b157",
+   "id": "2c275df0",
    "metadata": {
     "editable": true
    },
@@ -4417,7 +4417,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa8e8633",
+   "id": "16ac0a06",
    "metadata": {
     "editable": true
    },
@@ -4434,7 +4434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5795cafe",
+   "id": "83e72f06",
    "metadata": {
     "editable": true
    },
@@ -4444,7 +4444,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f2bcdee4",
+   "id": "b7a18daf",
    "metadata": {
     "editable": true
    },
@@ -4456,7 +4456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2cf350a1",
+   "id": "28657e52",
    "metadata": {
     "editable": true
    },
@@ -4466,7 +4466,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "92299725",
+   "id": "27ad0eac",
    "metadata": {
     "editable": true
    },
@@ -4478,7 +4478,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a7e874d",
+   "id": "92c12f03",
    "metadata": {
     "editable": true
    },
@@ -4492,7 +4492,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b78a321",
+   "id": "beba8154",
    "metadata": {
     "editable": true
    },
@@ -4504,7 +4504,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8167547d",
+   "id": "bc102175",
    "metadata": {
     "editable": true
    },
@@ -4526,7 +4526,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97975a91",
+   "id": "245a715c",
    "metadata": {
     "editable": true
    },
@@ -4538,7 +4538,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf520cd2",
+   "id": "8821822b",
    "metadata": {
     "editable": true
    },
@@ -4553,7 +4553,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3fcb155f",
+   "id": "24e529f8",
    "metadata": {
     "editable": true
    },
@@ -4565,7 +4565,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1e23232",
+   "id": "0a93a8e2",
    "metadata": {
     "editable": true
    },
@@ -4577,7 +4577,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c384180",
+   "id": "2b91ae4a",
    "metadata": {
     "editable": true
    },
@@ -4587,7 +4587,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f686e4fb",
+   "id": "d60fd33a",
    "metadata": {
     "editable": true
    },
@@ -4599,7 +4599,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1777e8fd",
+   "id": "7ded20f6",
    "metadata": {
     "editable": true
    },
@@ -4609,7 +4609,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70c47812",
+   "id": "2f43b4a8",
    "metadata": {
     "editable": true
    },
@@ -4621,7 +4621,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f8ac68b",
+   "id": "17b9acd4",
    "metadata": {
     "editable": true
    },
@@ -4631,7 +4631,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b3d833a",
+   "id": "1382556f",
    "metadata": {
     "editable": true
    },
@@ -4643,7 +4643,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2421980",
+   "id": "e6bdcbc3",
    "metadata": {
     "editable": true
    },
@@ -4660,7 +4660,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac147b77",
+   "id": "67c3b269",
    "metadata": {
     "editable": true
    },
@@ -4673,7 +4673,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0080c9e5",
+   "id": "4a6cca5d",
    "metadata": {
     "editable": true
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@@ -4685,7 +4685,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8ff8c8d0",
+   "id": "187e5933",
    "metadata": {
     "editable": true
    },
@@ -4695,7 +4695,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d58f8f67",
+   "id": "6196eb7e",
    "metadata": {
     "editable": true
    },
@@ -4708,7 +4708,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "617e89d4",
+   "id": "55dc8702",
    "metadata": {
     "editable": true
    },
@@ -4718,7 +4718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f5f10ca",
+   "id": "c651a55d",
    "metadata": {
     "editable": true
    },
@@ -4730,7 +4730,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c871eb36",
+   "id": "2562c2c8",
    "metadata": {
     "editable": true
    },
@@ -4743,7 +4743,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b99c89e7",
+   "id": "f25955c7",
    "metadata": {
     "editable": true
    },
@@ -4756,7 +4756,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12fa8002",
+   "id": "1fbeafbc",
    "metadata": {
     "editable": true
    },
@@ -4768,7 +4768,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d44c0062",
+   "id": "86f8c44d",
    "metadata": {
     "editable": true
    },
@@ -4780,7 +4780,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "814a185f",
+   "id": "9b28540c",
    "metadata": {
     "editable": true
    },
@@ -4790,7 +4790,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b649afd6",
+   "id": "d37ac2c7",
    "metadata": {
     "editable": true
    },
@@ -4803,7 +4803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "67a197a2",
+   "id": "d39b32e4",
    "metadata": {
     "editable": true
    },
@@ -4815,7 +4815,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6719c5f4",
+   "id": "a4e57938",
    "metadata": {
     "editable": true
    },
@@ -4827,7 +4827,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d361dfb9",
+   "id": "632dd4d2",
    "metadata": {
     "editable": true
    },
@@ -4839,7 +4839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6dcffb56",
+   "id": "0b021ef8",
    "metadata": {
     "editable": true
    },
@@ -4851,7 +4851,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b0f56d17",
+   "id": "ae2d2cc1",
    "metadata": {
     "editable": true
    },
@@ -4865,7 +4865,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70302c22",
+   "id": "aba1845d",
    "metadata": {
     "editable": true
    },
@@ -4877,7 +4877,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "606ebee8",
+   "id": "97b027ca",
    "metadata": {
     "editable": true
    },
@@ -4887,7 +4887,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b11f6061",
+   "id": "54901285",
    "metadata": {
     "editable": true
    },
@@ -4899,7 +4899,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b154748",
+   "id": "781dabac",
    "metadata": {
     "editable": true
    },
@@ -4911,7 +4911,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bebbb224",
+   "id": "6306d0c3",
    "metadata": {
     "editable": true
    },
@@ -4923,7 +4923,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4e5aadb",
+   "id": "550c781b",
    "metadata": {
     "editable": true
    },
@@ -4935,7 +4935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a26b199d",
+   "id": "d7427b72",
    "metadata": {
     "editable": true
    },
@@ -4947,7 +4947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8aa16eb",
+   "id": "f14ca9f8",
    "metadata": {
     "editable": true
    },
@@ -4966,7 +4966,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cbba46b",
+   "id": "d7ffc2fd",
    "metadata": {
     "editable": true
    },
@@ -4978,7 +4978,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ed3ae60",
+   "id": "10e35b21",
    "metadata": {
     "editable": true
    },
@@ -4988,7 +4988,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a86e0e4a",
+   "id": "dd01db3b",
    "metadata": {
     "editable": true
    },
@@ -5000,7 +5000,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "36adf2de",
+   "id": "76d61d5c",
    "metadata": {
     "editable": true
    },
@@ -5010,7 +5010,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e71a22ab",
+   "id": "a5e7e667",
    "metadata": {
     "editable": true
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@@ -5022,7 +5022,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e50c5991",
+   "id": "685c32b0",
    "metadata": {
     "editable": true
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@@ -5034,7 +5034,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fae0ef89",
+   "id": "f5f5aea1",
    "metadata": {
     "editable": true
    },
@@ -5050,7 +5050,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdd92c23",
+   "id": "1a0d44ea",
    "metadata": {
     "editable": true
    },
@@ -5062,7 +5062,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd277e05",
+   "id": "f6a9e742",
    "metadata": {
     "editable": true
    },
@@ -5074,7 +5074,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a7bf1894",
+   "id": "a8b2b212",
    "metadata": {
     "editable": true
    },
@@ -5084,7 +5084,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba498910",
+   "id": "ac95c183",
    "metadata": {
     "editable": true
    },
@@ -5096,7 +5096,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ffe25de2",
+   "id": "ed3b5d7a",
    "metadata": {
     "editable": true
    },
@@ -5106,7 +5106,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c98fe779",
+   "id": "b4210fa3",
    "metadata": {
     "editable": true
    },
@@ -5118,7 +5118,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3807241",
+   "id": "7a343147",
    "metadata": {
     "editable": true
    },
@@ -5135,7 +5135,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a22ae992",
+   "id": "f68da907",
    "metadata": {
     "editable": true
    },
@@ -5147,7 +5147,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d3e9f3e6",
+   "id": "3301fcc6",
    "metadata": {
     "editable": true
    },
@@ -5159,7 +5159,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "836ee975",
+   "id": "28efde9f",
    "metadata": {
     "editable": true
    },
@@ -5169,19 +5169,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "84e660da",
+   "id": "b4c0b7a6",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "\\frac{d \\vert \\beta\\vert}{d \\boldsymbol{\\beta}}=\\mathrm{sgn}(\\boldsymbol{\\beta})=\\left\\{\\begin{array}{cc} 1 & \\beta > 0 \\\\ 0 & \\beta =0\\\\-1 & \\beta < 0, \\end{array}\\right.\n",
+    "\\frac{d \\vert \\beta\\vert}{d \\boldsymbol{\\beta}}=\\mathrm{sgn}(\\boldsymbol{\\beta})=\\left\\{\\begin{array}{cc} 1 & \\beta > 0 \\\\-1 & \\beta < 0, \\end{array}\\right.\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c29a0029",
+   "id": "26a3c4ec",
    "metadata": {
     "editable": true
    },
@@ -5191,7 +5191,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f42be85b",
+   "id": "101c994f",
    "metadata": {
     "editable": true
    },
@@ -5203,7 +5203,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d40c7b89",
+   "id": "40dd9f0a",
    "metadata": {
     "editable": true
    },
@@ -5213,7 +5213,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "46a4ace7",
+   "id": "af4aee98",
    "metadata": {
     "editable": true
    },
@@ -5225,7 +5225,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2dbb1a94",
+   "id": "2fae682f",
    "metadata": {
     "editable": true
    },
@@ -5235,7 +5235,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ca52930",
+   "id": "cbf66da8",
    "metadata": {
     "editable": true
    },
@@ -5247,7 +5247,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e4c91f6",
+   "id": "a8b01e63",
    "metadata": {
     "editable": true
    },
@@ -5316,7 +5316,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76a81c61",
+   "id": "19dd6294",
    "metadata": {
     "editable": true
    },
@@ -5330,7 +5330,7 @@
   {
    "cell_type": "code",
    "execution_count": 31,
-   "id": "b524fb84",
+   "id": "b1a5f068",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5343,7 +5343,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d1b9bf7",
+   "id": "7b6b84c1",
    "metadata": {
     "editable": true
    },
@@ -5357,7 +5357,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d5fd7a2",
+   "id": "ddf0341d",
    "metadata": {
     "editable": true
    },
@@ -5370,7 +5370,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "87982c08",
+   "id": "f6a29e6f",
    "metadata": {
     "editable": true
    },
@@ -5381,7 +5381,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1204b0ee",
+   "id": "2071dc36",
    "metadata": {
     "editable": true
    },
@@ -5393,7 +5393,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06383502",
+   "id": "6bd2414e",
    "metadata": {
     "editable": true
    },
@@ -5403,7 +5403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c629cf4e",
+   "id": "1d273873",
    "metadata": {
     "editable": true
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@@ -5415,7 +5415,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "509d5952",
+   "id": "12f141e5",
    "metadata": {
     "editable": true
    },
@@ -5431,7 +5431,7 @@
   {
    "cell_type": "code",
    "execution_count": 32,
-   "id": "6e13a21a",
+   "id": "40688707",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5482,7 +5482,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "150c65cf",
+   "id": "bdf3e008",
    "metadata": {
     "editable": true
    },
@@ -5492,7 +5492,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "877a66ce",
+   "id": "a743a8f7",
    "metadata": {
     "editable": true
    },
@@ -5538,7 +5538,7 @@
   {
    "cell_type": "code",
    "execution_count": 33,
-   "id": "41966219",
+   "id": "fd6d1cb5",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5551,7 +5551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1aaef76",
+   "id": "3fc40c82",
    "metadata": {
     "editable": true
    },
@@ -5562,7 +5562,7 @@
   {
    "cell_type": "code",
    "execution_count": 34,
-   "id": "f2af05c8",
+   "id": "c618d953",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5577,7 +5577,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2b99a36",
+   "id": "cab0421b",
    "metadata": {
     "editable": true
    },
@@ -5595,7 +5595,7 @@
   {
    "cell_type": "code",
    "execution_count": 35,
-   "id": "d6032869",
+   "id": "5dda4da8",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5612,7 +5612,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e446f61",
+   "id": "9369aca3",
    "metadata": {
     "editable": true
    },
@@ -5622,7 +5622,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52bf375d",
+   "id": "1d721b3e",
    "metadata": {
     "editable": true
    },
@@ -5633,7 +5633,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9e4a451",
+   "id": "2ae374c6",
    "metadata": {
     "editable": true
    },
@@ -5644,7 +5644,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c8c407d",
+   "id": "502ccfaa",
    "metadata": {
     "editable": true
    },
@@ -5655,7 +5655,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce3bb965",
+   "id": "1a86daf6",
    "metadata": {
     "editable": true
    },
@@ -5678,7 +5678,7 @@
   {
    "cell_type": "code",
    "execution_count": 36,
-   "id": "cd3c026a",
+   "id": "710ad5b6",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5691,7 +5691,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b07b7a34",
+   "id": "e5637c7c",
    "metadata": {
     "editable": true
    },
@@ -5706,7 +5706,7 @@
   {
    "cell_type": "code",
    "execution_count": 37,
-   "id": "86cde4dd",
+   "id": "32a02bc3",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -5786,7 +5786,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "027dcc58",
+   "id": "36b5bbf6",
    "metadata": {
     "editable": true
    },
@@ -5801,7 +5801,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a44814e",
+   "id": "2b3df71f",
    "metadata": {
     "editable": true
    },
@@ -5814,7 +5814,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed838a79",
+   "id": "7f78e38c",
    "metadata": {
     "editable": true
    },
@@ -5825,7 +5825,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6a1a6c6a",
+   "id": "62a4bf6e",
    "metadata": {
     "editable": true
    },
@@ -5837,7 +5837,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "641a97f8",
+   "id": "222d5ecc",
    "metadata": {
     "editable": true
    },
@@ -5847,7 +5847,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "353f15fd",
+   "id": "40f07ead",
    "metadata": {
     "editable": true
    },
@@ -5859,7 +5859,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f61c05b6",
+   "id": "5c6380c3",
    "metadata": {
     "editable": true
    },
@@ -5869,7 +5869,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ab11beb1",
+   "id": "7eccaadc",
    "metadata": {
     "editable": true
    },
@@ -5891,7 +5891,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae6b4c88",
+   "id": "cc95e14c",
    "metadata": {
     "editable": true
    },
@@ -5903,7 +5903,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "621e52b3",
+   "id": "030c8aee",
    "metadata": {
     "editable": true
    },
@@ -5913,7 +5913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2746a572",
+   "id": "94fdfd57",
    "metadata": {
     "editable": true
    },
@@ -5925,7 +5925,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2cd087d4",
+   "id": "f3d3bda8",
    "metadata": {
     "editable": true
    },
@@ -5935,7 +5935,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "180351f8",
+   "id": "974b0bfa",
    "metadata": {
     "editable": true
    },
@@ -5947,7 +5947,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa074b3e",
+   "id": "531c5860",
    "metadata": {
     "editable": true
    },
@@ -5960,7 +5960,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e02208eb",
+   "id": "fbd40c20",
    "metadata": {
     "editable": true
    },
@@ -5972,7 +5972,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8dca7f5e",
+   "id": "547c1ef1",
    "metadata": {
     "editable": true
    },
@@ -5982,7 +5982,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "520a2239",
+   "id": "301b971b",
    "metadata": {
     "editable": true
    },
@@ -5994,7 +5994,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cd75eee2",
+   "id": "f8f17713",
    "metadata": {
     "editable": true
    },
@@ -6004,7 +6004,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8495cf80",
+   "id": "bb4c1126",
    "metadata": {
     "editable": true
    },
@@ -6016,7 +6016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bae8a404",
+   "id": "81112dc2",
    "metadata": {
     "editable": true
    },
@@ -6026,7 +6026,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a74331f9",
+   "id": "c597b4bd",
    "metadata": {
     "editable": true
    },
diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt
index 4372552a4..ad9f80209 100644
--- a/doc/src/week35/week35.do.txt
+++ b/doc/src/week35/week35.do.txt
@@ -2495,7 +2495,7 @@ C(\bm{X},\bm{\beta})=\left\{(\bm{y}-\bm{X}\bm{\beta})^T(\bm{y}-\bm{X}\bm{\beta})
 Taking the derivative with respect to $\bm{\beta}$ and recalling that the derivative of the absolute value is (we drop the boldfaced vector symbol for simplicty)
 !bt
 \[
-\frac{d \vert \beta\vert}{d \bm{\beta}}=\mathrm{sgn}(\bm{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\ 0 & \beta =0\\-1 & \beta < 0, \end{array}\right.
+\frac{d \vert \beta\vert}{d \bm{\beta}}=\mathrm{sgn}(\bm{\beta})=\left\{\begin{array}{cc} 1 & \beta > 0 \\-1 & \beta < 0, \end{array}\right.
 \]
 !et
 we have that the derivative of the cost function is