diff --git a/doc/pub/week39/html/week39-reveal.html b/doc/pub/week39/html/week39-reveal.html
index 55a302841..4acda1946 100644
--- a/doc/pub/week39/html/week39-reveal.html
+++ b/doc/pub/week39/html/week39-reveal.html
@@ -433,9 +433,6 @@ $$
 $$
 <p>&nbsp;<br>
 
-
-<b>Note that in order to derive these equations we have assumed we can replace the unknown function \( {\bm f} \) with the target/output data \( \boldsymbol{y} \).</b>
-
 <p>The three terms represent the square of the bias of the learning
 method, which can be thought of as the error caused by the simplifying
 assumptions built into the method. The second term represents the
@@ -467,6 +464,8 @@ $$
 <p>&nbsp;<br>
 
 <p>that is the rewriting in terms of the so-called bias, the variance of the model \( \boldsymbol{\tilde{y}} \) and the variance of \( \boldsymbol{\epsilon} \).</p>
+
+<b>Note that in order to derive these equations we have assumed we can replace the unknown function \( \boldsymbol{f} \) with the target/output data \( \boldsymbol{y} \).</b>
 </section>
 
 <section>
diff --git a/doc/pub/week39/html/week39-solarized.html b/doc/pub/week39/html/week39-solarized.html
index 8dfbbcf83..d85799a56 100644
--- a/doc/pub/week39/html/week39-solarized.html
+++ b/doc/pub/week39/html/week39-solarized.html
@@ -454,9 +454,6 @@ $$
 \mathbb{E}\left[(\boldsymbol{y}-\boldsymbol{\tilde{y}})^2\right]=\frac{1}{n}\sum_i(f_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\sigma^2.
 $$
 
-
-<b>Note that in order to derive these equations we have assumed we can replace the unknown function \( {\bm f} \) with the target/output data \( \boldsymbol{y} \).</b>
-
 <p>The three terms represent the square of the bias of the learning
 method, which can be thought of as the error caused by the simplifying
 assumptions built into the method. The second term represents the
@@ -483,6 +480,8 @@ $$
 
 <p>that is the rewriting in terms of the so-called bias, the variance of the model \( \boldsymbol{\tilde{y}} \) and the variance of \( \boldsymbol{\epsilon} \).</p>
 
+<b>Note that in order to derive these equations we have assumed we can replace the unknown function \( \boldsymbol{f} \) with the target/output data \( \boldsymbol{y} \).</b>
+
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="a-way-to-read-the-bias-variance-tradeoff">A way to Read the Bias-Variance Tradeoff </h2>
 
diff --git a/doc/pub/week39/html/week39.html b/doc/pub/week39/html/week39.html
index b5790c23a..5eb00e6a9 100644
--- a/doc/pub/week39/html/week39.html
+++ b/doc/pub/week39/html/week39.html
@@ -531,9 +531,6 @@ $$
 \mathbb{E}\left[(\boldsymbol{y}-\boldsymbol{\tilde{y}})^2\right]=\frac{1}{n}\sum_i(f_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\frac{1}{n}\sum_i(\tilde{y}_i-\mathbb{E}\left[\boldsymbol{\tilde{y}}\right])^2+\sigma^2.
 $$
 
-
-<b>Note that in order to derive these equations we have assumed we can replace the unknown function \( {\bm f} \) with the target/output data \( \boldsymbol{y} \).</b>
-
 <p>The three terms represent the square of the bias of the learning
 method, which can be thought of as the error caused by the simplifying
 assumptions built into the method. The second term represents the
@@ -560,6 +557,8 @@ $$
 
 <p>that is the rewriting in terms of the so-called bias, the variance of the model \( \boldsymbol{\tilde{y}} \) and the variance of \( \boldsymbol{\epsilon} \).</p>
 
+<b>Note that in order to derive these equations we have assumed we can replace the unknown function \( \boldsymbol{f} \) with the target/output data \( \boldsymbol{y} \).</b>
+
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="a-way-to-read-the-bias-variance-tradeoff">A way to Read the Bias-Variance Tradeoff </h2>
 
diff --git a/doc/pub/week39/ipynb/ipynb-week39-src.tar.gz b/doc/pub/week39/ipynb/ipynb-week39-src.tar.gz
index 12d7f28ad..2ab651ba6 100644
Binary files a/doc/pub/week39/ipynb/ipynb-week39-src.tar.gz and b/doc/pub/week39/ipynb/ipynb-week39-src.tar.gz differ
diff --git a/doc/pub/week39/ipynb/week39.ipynb b/doc/pub/week39/ipynb/week39.ipynb
index 6ed847528..fea62219b 100644
--- a/doc/pub/week39/ipynb/week39.ipynb
+++ b/doc/pub/week39/ipynb/week39.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "7bf071b1",
+   "id": "24abf018",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fca6a6fc",
+   "id": "ed320440",
    "metadata": {
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@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76146bb5",
+   "id": "bed7f6b2",
    "metadata": {
     "editable": true
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@@ -45,7 +45,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "270056a4",
+   "id": "c1ffcc13",
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@@ -64,7 +64,7 @@
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   {
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+   "id": "46137c4b",
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@@ -81,7 +81,7 @@
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   {
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-   "id": "042794b6",
+   "id": "c6edc330",
    "metadata": {
     "editable": true
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@@ -103,7 +103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0716244e",
+   "id": "ef27169f",
    "metadata": {
     "editable": true
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@@ -113,7 +113,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f56b4b3",
+   "id": "5bd4d2b0",
    "metadata": {
     "editable": true
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@@ -140,7 +140,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "23a958ae",
+   "id": "1ae30629",
    "metadata": {
     "editable": true
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@@ -166,7 +166,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ef846ba4",
+   "id": "500c4cb6",
    "metadata": {
     "editable": true
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@@ -183,7 +183,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f07eb989",
+   "id": "4c2b3d83",
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@@ -203,7 +203,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "168c7f44",
+   "id": "1a925456",
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     "editable": true
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@@ -232,7 +232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91a005b6",
+   "id": "4f4056ff",
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@@ -255,7 +255,7 @@
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   {
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-   "id": "81a1f57f",
+   "id": "01113cba",
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@@ -273,7 +273,7 @@
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   {
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-   "id": "4f9283e6",
+   "id": "d3ab456a",
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@@ -285,7 +285,7 @@
   },
   {
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-   "id": "bd2e743f",
+   "id": "03ea9a2b",
    "metadata": {
     "editable": true
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@@ -302,7 +302,7 @@
   },
   {
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-   "id": "f5df29d7",
+   "id": "8d8cdec2",
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@@ -314,7 +314,7 @@
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   {
    "cell_type": "markdown",
-   "id": "21a55b99",
+   "id": "ef09ae6f",
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@@ -324,7 +324,7 @@
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   {
    "cell_type": "markdown",
-   "id": "d49b329d",
+   "id": "a706d82a",
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     "editable": true
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@@ -336,13 +336,11 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e7e1d13",
+   "id": "f9e0d15d",
    "metadata": {
     "editable": true
    },
    "source": [
-    "**Note that in order to derive these equations we have assumed we can replace the unknown function ${\\bm f}$ with the target/output data $\\boldsymbol{y}$.**\n",
-    "\n",
     "The three terms represent the square of the bias of the learning\n",
     "method, which can be thought of as the error caused by the simplifying\n",
     "assumptions built into the method. The second term represents the\n",
@@ -355,7 +353,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "febbf88b",
+   "id": "0a4056b5",
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@@ -367,7 +365,7 @@
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   {
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+   "id": "dc20fce8",
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@@ -377,7 +375,7 @@
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   {
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-   "id": "8f0752e5",
+   "id": "08fcc960",
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@@ -389,7 +387,7 @@
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   {
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+   "id": "50947ecf",
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@@ -399,7 +397,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f60bc886",
+   "id": "57039525",
    "metadata": {
     "editable": true
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@@ -411,17 +409,19 @@
   },
   {
    "cell_type": "markdown",
-   "id": "549b0b58",
+   "id": "6bc16e70",
    "metadata": {
     "editable": true
    },
    "source": [
-    "that is the rewriting in terms of the so-called bias, the variance of the model $\\boldsymbol{\\tilde{y}}$ and the variance of $\\boldsymbol{\\epsilon}$."
+    "that is the rewriting in terms of the so-called bias, the variance of the model $\\boldsymbol{\\tilde{y}}$ and the variance of $\\boldsymbol{\\epsilon}$.\n",
+    "\n",
+    "**Note that in order to derive these equations we have assumed we can replace the unknown function $\\boldsymbol{f}$ with the target/output data $\\boldsymbol{y}$.**"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "ccc22f3e",
+   "id": "4b1d24c0",
    "metadata": {
     "editable": true
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@@ -437,7 +437,7 @@
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   {
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-   "id": "96e1d82b",
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@@ -448,7 +448,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "543cf710",
+   "id": "96dac6f5",
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@@ -507,7 +507,7 @@
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-   "id": "aa0481ce",
+   "id": "6f7e475d",
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@@ -545,7 +545,7 @@
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   {
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@@ -572,7 +572,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "839908f3",
+   "id": "35a26b1a",
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@@ -634,7 +634,7 @@
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-   "id": "cf7ef117",
+   "id": "f33d8525",
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@@ -659,7 +659,7 @@
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@@ -687,7 +687,7 @@
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@@ -700,7 +700,7 @@
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-   "id": "e1e75799",
+   "id": "837eb6db",
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@@ -800,7 +800,7 @@
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@@ -811,7 +811,7 @@
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-   "id": "680e8f94",
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@@ -900,7 +900,7 @@
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@@ -910,7 +910,7 @@
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@@ -923,7 +923,7 @@
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-   "id": "36bc2e16",
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@@ -1001,7 +1001,7 @@
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@@ -1023,7 +1023,7 @@
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@@ -1049,7 +1049,7 @@
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@@ -1073,7 +1073,7 @@
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@@ -1098,7 +1098,7 @@
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@@ -1110,7 +1110,7 @@
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@@ -1128,7 +1128,7 @@
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@@ -1146,7 +1146,7 @@
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@@ -1157,7 +1157,7 @@
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@@ -1184,7 +1184,7 @@
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@@ -1197,7 +1197,7 @@
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-   "id": "8333c751",
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@@ -1262,7 +1262,7 @@
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@@ -1275,7 +1275,7 @@
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-   "id": "1d60fc67",
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@@ -1294,7 +1294,7 @@
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@@ -1305,7 +1305,7 @@
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@@ -1317,7 +1317,7 @@
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@@ -1336,7 +1336,7 @@
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@@ -1358,7 +1358,7 @@
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@@ -1370,7 +1370,7 @@
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@@ -1380,7 +1380,7 @@
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@@ -1393,7 +1393,7 @@
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@@ -1458,7 +1458,7 @@
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@@ -1470,7 +1470,7 @@
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@@ -1485,7 +1485,7 @@
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@@ -1497,7 +1497,7 @@
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@@ -1509,7 +1509,7 @@
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@@ -1526,7 +1526,7 @@
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@@ -1540,7 +1540,7 @@
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@@ -1550,7 +1550,7 @@
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@@ -1562,7 +1562,7 @@
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@@ -1574,7 +1574,7 @@
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@@ -1586,7 +1586,7 @@
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@@ -1597,7 +1597,7 @@
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@@ -1620,7 +1620,7 @@
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   {
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-   "id": "dd68b2a8",
+   "id": "475c0e60",
    "metadata": {
     "editable": true
    },
@@ -1685,7 +1685,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29a5a406",
+   "id": "1fcc2920",
    "metadata": {
     "editable": true
    },
@@ -1697,7 +1697,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "49951491",
+   "id": "2b8ca280",
    "metadata": {
     "editable": true
    },
@@ -1708,7 +1708,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afb8c5ce",
+   "id": "c13c8084",
    "metadata": {
     "editable": true
    },
@@ -1720,7 +1720,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "23597d68",
+   "id": "28c175f9",
    "metadata": {
     "editable": true
    },
@@ -1732,7 +1732,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f0875957",
+   "id": "822f9d8f",
    "metadata": {
     "editable": true
    },
@@ -1744,7 +1744,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57b5907d",
+   "id": "b7ef7713",
    "metadata": {
     "editable": true
    },
@@ -1754,7 +1754,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "045c215d",
+   "id": "e0d677b0",
    "metadata": {
     "editable": true
    },
@@ -1766,7 +1766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e12783ef",
+   "id": "1bd3a1e4",
    "metadata": {
     "editable": true
    },
@@ -1780,7 +1780,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4187ff04",
+   "id": "2229abec",
    "metadata": {
     "editable": true
    },
@@ -1792,7 +1792,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0654d024",
+   "id": "20185c58",
    "metadata": {
     "editable": true
    },
@@ -1802,7 +1802,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d54ab2d6",
+   "id": "9bca0545",
    "metadata": {
     "editable": true
    },
@@ -1814,7 +1814,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "983a58a6",
+   "id": "b7a80eb4",
    "metadata": {
     "editable": true
    },
@@ -1824,7 +1824,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "430c828c",
+   "id": "d9d417b0",
    "metadata": {
     "editable": true
    },
@@ -1836,7 +1836,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c451eb7f",
+   "id": "3405d5d0",
    "metadata": {
     "editable": true
    },
@@ -1847,7 +1847,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e453b99",
+   "id": "b1fe4b02",
    "metadata": {
     "editable": true
    },
@@ -1870,7 +1870,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e10f377",
+   "id": "fab2b45c",
    "metadata": {
     "editable": true
    },
@@ -1882,7 +1882,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dfce6eee",
+   "id": "599b6e62",
    "metadata": {
     "editable": true
    },
@@ -1892,7 +1892,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "890dfde2",
+   "id": "2a90fb4f",
    "metadata": {
     "editable": true
    },
@@ -1904,7 +1904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae64124a",
+   "id": "64b0f466",
    "metadata": {
     "editable": true
    },
@@ -1921,7 +1921,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f99fa2a",
+   "id": "e82c6a01",
    "metadata": {
     "editable": true
    },
@@ -1940,7 +1940,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4e3f038",
+   "id": "3da5eca8",
    "metadata": {
     "editable": true
    },
@@ -1957,7 +1957,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ea2b411d",
+   "id": "62626aea",
    "metadata": {
     "editable": true
    },
@@ -1972,7 +1972,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7064eec5",
+   "id": "b54b2119",
    "metadata": {
     "editable": true
    },
@@ -1982,7 +1982,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1abfa3d5",
+   "id": "cc6c3444",
    "metadata": {
     "editable": true
    },
@@ -1998,7 +1998,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d642ddcc",
+   "id": "fd89c356",
    "metadata": {
     "editable": true
    },
@@ -2010,7 +2010,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "25ee959a",
+   "id": "dc825324",
    "metadata": {
     "editable": true
    },
@@ -2021,7 +2021,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "152d2931",
+   "id": "cb6495ee",
    "metadata": {
     "editable": true
    },
@@ -2033,7 +2033,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d30eccfc",
+   "id": "3416b1d9",
    "metadata": {
     "editable": true
    },
@@ -2043,7 +2043,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c633584",
+   "id": "0c251c1b",
    "metadata": {
     "editable": true
    },
@@ -2057,7 +2057,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "101b4179",
+   "id": "1284b5bd",
    "metadata": {
     "editable": true
    },
@@ -2069,7 +2069,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d65e281a",
+   "id": "853bad30",
    "metadata": {
     "editable": true
    },
@@ -2079,7 +2079,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "291c125e",
+   "id": "bf24f7e5",
    "metadata": {
     "editable": true
    },
@@ -2091,7 +2091,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1cf1a4b3",
+   "id": "bcbb9dd2",
    "metadata": {
     "editable": true
    },
@@ -2103,7 +2103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0cf4aba0",
+   "id": "29afa420",
    "metadata": {
     "editable": true
    },
@@ -2116,7 +2116,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "12ca8ea5",
+   "id": "e226ab3b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2259,7 +2259,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "affe5fa5",
+   "id": "0981d00d",
    "metadata": {
     "editable": true
    },
@@ -2278,7 +2278,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "4ffe7b86",
+   "id": "297a1581",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2321,7 +2321,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dcc7f8a2",
+   "id": "b12732fb",
    "metadata": {
     "editable": true
    },
@@ -2335,7 +2335,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "75e4cd7a",
+   "id": "6bf79dfe",
    "metadata": {
     "collapsed": false,
     "editable": true
diff --git a/doc/src/week39/week39.do.txt b/doc/src/week39/week39.do.txt
index efb5a0855..0fe8df414 100644
--- a/doc/src/week39/week39.do.txt
+++ b/doc/src/week39/week39.do.txt
@@ -199,7 +199,7 @@ We can rewrite this as
 \]
 !et
 
-_Note that in order to derive these equations we have assumed we can replace the unknown function ${\bm f}$ with the target/output data $\bm{y}$._
+
 
 The three terms represent the square of the bias of the learning
 method, which can be thought of as the error caused by the simplifying
@@ -228,6 +228,7 @@ which, using the abovementioned expectation values can be rewritten as
 !et
 that is the rewriting in terms of the so-called bias, the variance of the model $\bm{\tilde{y}}$ and the variance of $\bm{\epsilon}$.
 
+_Note that in order to derive these equations we have assumed we can replace the unknown function $\bm{f}$ with the target/output data $\bm{y}$._
 
 !split
 ===== A way to Read the Bias-Variance Tradeoff =====