diff --git a/source-code/curse_of_dimensionality.ipynb b/source-code/curse_of_dimensionality.ipynb
index bcb6790..cc4aee7 100644
--- a/source-code/curse_of_dimensionality.ipynb
+++ b/source-code/curse_of_dimensionality.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "id": "1286cc0c-8b9d-49df-aa5e-85a661103e0a",
    "metadata": {},
    "outputs": [],
@@ -18,66 +18,19 @@
    "id": "8bbfd8d5-4954-4285-9257-74e2195b6b40",
    "metadata": {},
    "source": [
-    "We want to generate all the vectors on the vertices an $N$-dimensional cube.  The coordinates for these vectors are either -1 or 1.  Since there are $2^N$ vertices in an $N$-dimensional they can be generated from integers from 0 to $2^N - 1$."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "id": "fed2606c-5e56-4dc0-b139-e1a760ae9ddd",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "def compute_vector(nr_components, n):\n",
-    "    vector = np.ones((nr_components, ))\n",
-    "    i = 0\n",
-    "    while n > 0:        \n",
-    "        if n % 2 == 1:\n",
-    "            vector[i] = -1\n",
-    "        n //= 2\n",
-    "        i += 1\n",
-    "    return vector"
+    "We want to generate all the vectors on the vertices an $N$-dimensional cube.  The coordinates for these vectors are either -1 or 1.  The set of all such vectors is $\\{-1, 1\\} \\times \\cdots \\times \\{-1, 1\\} = \\{-1, 1\\}^N$."
    ]
   },
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "efb54031-3115-4fb8-bc13-a7cd4d326ed1",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "array([-1., -1., -1.,  1.])"
-      ]
-     },
-     "execution_count": 3,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "compute_vector(4, 7)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "62aba57c-2ad3-434a-a16c-a7c0e6d1047c",
-   "metadata": {},
-   "source": [
-    "Based on `enumerate_vector`, we can write a generator for all vectors using `yield`."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
    "id": "15ef43bf-134f-4379-95c6-148ddd5ff440",
    "metadata": {},
    "outputs": [],
    "source": [
     "def enumerate_vectors(nr_components):\n",
-    "    for n in range(2**nr_components):\n",
-    "        yield compute_vector(nr_components, n)"
+    "    return map(np.array,\n",
+    "               itertools.product((-1, 1), repeat=nr_components))"
    ]
   },
   {
@@ -90,7 +43,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 4,
    "id": "2db62095-6aa4-44c3-bd82-0370550290b2",
    "metadata": {},
    "outputs": [
@@ -98,14 +51,14 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[1. 1. 1.]\n",
-      "[-1.  1.  1.]\n",
-      "[ 1. -1.  1.]\n",
-      "[-1. -1.  1.]\n",
-      "[ 1.  1. -1.]\n",
-      "[-1.  1. -1.]\n",
-      "[ 1. -1. -1.]\n",
-      "[-1. -1. -1.]\n"
+      "[-1 -1 -1]\n",
+      "[-1 -1  1]\n",
+      "[-1  1 -1]\n",
+      "[-1  1  1]\n",
+      "[ 1 -1 -1]\n",
+      "[ 1 -1  1]\n",
+      "[ 1  1 -1]\n",
+      "[1 1 1]\n"
      ]
     }
    ],
@@ -124,13 +77,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 5,
    "id": "e2e1a0f8-9f44-43e2-9011-736be3aa5760",
    "metadata": {},
    "outputs": [],
    "source": [
     "def cos_similarity(v1, v2):\n",
-    "    return np.sum(v1*v2)/(np.linalg.norm(v1)*np.linalg.norm(v2))"
+    "    return np.dot(v1, v2)/(np.linalg.norm(v1)*np.linalg.norm(v2))"
    ]
   },
   {
@@ -143,7 +96,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 6,
    "id": "f218f6ac-c780-465d-9b71-c1758d425efa",
    "metadata": {},
    "outputs": [],
@@ -156,16 +109,6 @@
     "    ]"
    ]
   },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "id": "eea54e25-05f9-4533-856a-c0b3c5815f85",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "similarities = compute_similarities(3)"
-   ]
-  },
   {
    "cell_type": "markdown",
    "id": "4c7f52fe-5a74-4278-a93f-84869d287b11",
@@ -176,7 +119,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 11,
    "id": "af056b13-e063-46af-bfe1-0b98331942ea",
    "metadata": {},
    "outputs": [],
@@ -184,18 +127,18 @@
     "def plot_similarities(nr_components, bins=20):\n",
     "    plt.hist(compute_similarities(nr_components),\n",
     "             bins=bins, density=True)\n",
-    "    plt.xlim(0.0, 1.1);"
+    "    plt.xlim(-1.0, 1.0);"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 12,
    "id": "1c0f3596-2beb-45d6-a834-319f2269f599",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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slvrvdenugW7k+Q3d58UXX4z6+vou23/FgbJDTU1N2f2UUpttEREzZ86M6dOnl+5v3rw5hg8fHuvXr+/SBeamtbU1Ghoaorm5Oerq6rp7OnuMdVt3T2Dd1t0TtLS0xCGHHBIDBw7s0uNUHCgHHHBA9OrVq82rJRs3bmzzqkpERKFQiEKh0GZ7fX19jzqxO9TV1Vl3D2LdPYt19yw9dd377NO1f6mk4r337ds3xowZE/fee2/Z9nvvvTdOOOGETk8MAOi5OvUrnunTp8eUKVNi7NixMX78+Ljhhhti/fr1MXXq1GrNDwDogToVKOedd168+OKL8Y1vfCOef/75aGxsjLvvvjuGDx/+lo8tFApx1VVXtftrn72ZdVt3T2Dd1t0TWHfXrrsmdfX7hAAAOshn8QAA2REoAEB2BAoAkB2BAgBkp0sD5eqrr44TTjgh9t1333jnO9+5W49JKcWsWbNi6NCh0b9//zjppJPiscceKxtTLBbj0ksvjQMOOCAGDBgQZ511Vvzzn//sghVU5qWXXoopU6ZEfX191NfXx5QpU2Lz5s1v+piampp2b9/61rdKY0466aQ2Xz///PO7eDW7r5J1f/azn22zpnHjxpWN2dvO97Zt2+KKK66Io48+OgYMGBBDhw6Nz3zmM/Hcc8+VjcvtfF9//fUxYsSI6NevX4wZMyYefPDBNx1///33x5gxY6Jfv37xrne9K37yk5+0GXPnnXfGUUcdFYVCIY466qhYuHBhV02/Yh1Z91133RUf+tCH4sADD4y6uroYP358/P73vy8bc+utt7b7XH/llVe6eikd0pF1L1mypN01PfHEE2Xj9rbz3d6/XzU1NTF69OjSmNzP9wMPPBBnnnlmDB06NGpqauI3v/nNWz5mjz23Uxf6+te/nq677ro0ffr0VF9fv1uPmTt3bqqtrU133nlnWrNmTTrvvPPSkCFDUmtra2nM1KlT08EHH5zuvffetGrVqnTyySen97znPem1117ropV0zOmnn54aGxvT0qVL09KlS1NjY2M644wz3vQxzz//fNnt5ptvTjU1NemZZ54pjZkwYUK66KKLysZt3ry5q5ez2ypZd1NTUzr99NPL1vTiiy+WjdnbzvfmzZvTaaedlhYsWJCeeOKJtGzZsnT88cenMWPGlI3L6XzPnz8/9enTJ914441p7dq1adq0aWnAgAHp2WefbXf83//+97TvvvumadOmpbVr16Ybb7wx9enTJ/36178ujVm6dGnq1atXuuaaa9Ljjz+errnmmtS7d++0fPnyPbWst9TRdU+bNi1de+216eGHH05/+9vf0syZM1OfPn3SqlWrSmNuueWWVFdX1+Y5n5OOrvu+++5LEZGefPLJsjW98Tm6N57vzZs3l623ubk5DRw4MF111VWlMbmf77vvvjtdeeWV6c4770wRkRYuXPim4/fkc7tLA2WHW265ZbcCZfv27Wnw4MFp7ty5pW2vvPJKqq+vTz/5yU9SSv/7hujTp0+aP39+acy//vWvtM8++6TFixdXfe4dtXbt2hQRZSdi2bJlKSLSE088sdv7Ofvss9Mpp5xStm3ChAlp2rRp1ZpqVVW67qampnT22Wfv8us95Xw//PDDKSLK/iHM6Xy/733vS1OnTi3bNmrUqDRjxox2x19++eVp1KhRZds+//nPp3HjxpXun3vuuen0008vG/PhD384nX/++VWaded1dN3tOeqoo9Ls2bNL93f338Pu1NF17wiUl156aZf77Anne+HChammpib94x//KG17O5zvHXYnUPbkczura1DWrVsXGzZsiIkTJ5a2FQqFmDBhQixdujQiIlauXBnbtm0rGzN06NBobGwsjelOy5Yti/r6+jj++ONL28aNGxf19fW7Pb8XXnghFi1aFBdeeGGbr/3qV7+KAw44IEaPHh1f+cpXYsuWLVWbe2d0Zt1LliyJQYMGxRFHHBEXXXRRbNy4sfS1nnC+I/734Vs1NTVtfhWaw/l+9dVXY+XKlWXnICJi4sSJu1zjsmXL2oz/8Ic/HI888khs27btTcfkcF4jKlv3zrZv3x5btmxp86FqL7/8cgwfPjyGDRsWZ5xxRqxevbpq8+6szqz72GOPjSFDhsSpp54a9913X9nXesL5vummm+K0005r88dKcz7fHbUnn9ud/jTjatrxwYM7f9jgQQcdFM8++2xpTN++fWO//fZrM2bnDy7sDhs2bIhBgwa12T5o0KDdnt/PfvazqK2tjY9+9KNl2ydPnhwjRoyIwYMHx1//+teYOXNm/PnPf27zeUjdodJ1T5o0KT7xiU/E8OHDY926dfG1r30tTjnllFi5cmUUCoUecb5feeWVmDFjRnzqU58q+8CxXM73pk2b4vXXX2/3ebmrNW7YsKHd8a+99lps2rQphgwZsssxOZzXiMrWvbPvfOc7sXXr1jj33HNL20aNGhW33nprHH300dHa2hrf//734/3vf3/8+c9/jsMPP7yqa6hEJeseMmRI3HDDDTFmzJgoFovxi1/8Ik499dRYsmRJnHjiiRGx6++JveV8P//883HPPffEbbfdVrY99/PdUXvyud3hQJk1a1bMnj37TcesWLEixo4d29Fdl9TU1JTdTym12baz3RnTGbu77oi284/o2PxuvvnmmDx5cvTr169s+0UXXVT678bGxjj88MNj7NixsWrVqjjuuON2a98d1dXrPu+880r/3djYGGPHjo3hw4fHokWL2gRaR/bbWXvqfG/bti3OP//82L59e1x//fVlX+uO8/1mOvq8bG/8ztsrea7vaZXO8fbbb49Zs2bFb3/727KIHTduXNmF4O9///vjuOOOix/+8Ifxgx/8oHoT76SOrHvkyJExcuTI0v3x48dHc3NzfPvb3y4FSkf32V0qneOtt94a73znO+Occ84p2/52Od8dsaee2x0OlEsuueQt30lw6KGHdnS3ERExePDgiPhfoQ0ZMqS0fePGjaUaGzx4cLz66qvx0ksvlf1f9caNG7v0U5R3d91/+ctf4oUXXmjztX//+99tirI9Dz74YDz55JOxYMGCtxx73HHHRZ8+feKpp57qsh9Ye2rdOwwZMiSGDx8eTz31VETs3ed727Ztce6558a6devij3/841t+XPueON/tOeCAA6JXr15t/u/njc/LnQ0ePLjd8b17947999//Tcd05PulK1Wy7h0WLFgQF154Ydxxxx1x2mmnvenYffbZJ9773veWvue7W2fW/Ubjxo2LX/7yl6X7e/P5TinFzTffHFOmTIm+ffu+6djczndH7dHndoeuWKlQRy+Svfbaa0vbisViuxfJLliwoDTmueeey+6iyYceeqi0bfny5bt90WRTU1Obd3Psypo1a1JEpPvvv7/i+VZLZ9e9w6ZNm1KhUEg/+9nPUkp77/l+9dVX0znnnJNGjx6dNm7cuFvH6s7z/b73vS994QtfKNt25JFHvulFskceeWTZtqlTp7a5kG7SpEllY04//fTsLprsyLpTSum2225L/fr1e8uLDXfYvn17Gjt2bLrgggs6M9WqqmTdO/vYxz6WTj755NL9vfV8p/R/FwmvWbPmLY+R4/neIXbzItk99dzu0kB59tln0+rVq9Ps2bPTO97xjrR69eq0evXqtGXLltKYkSNHprvuuqt0f+7cuam+vj7dddddac2aNemTn/xku28zHjZsWPrDH/6QVq1alU455ZTs3nZ6zDHHpGXLlqVly5alo48+us3bTnded0optbS0pH333TfNmzevzT6ffvrpNHv27LRixYq0bt26tGjRojRq1Kh07LHHvm3XvWXLlvTlL385LV26NK1bty7dd999afz48enggw/eq8/3tm3b0llnnZWGDRuWHn300bK3HhaLxZRSfud7x9svb7rpprR27dp02WWXpQEDBpTerTBjxow0ZcqU0vgdb0X80pe+lNauXZtuuummNm9F/NOf/pR69eqV5s6dmx5//PE0d+7cbN92urvrvu2221Lv3r3Tj3/8412+PXzWrFlp8eLF6ZlnnkmrV69OF1xwQerdu3dZ5Ha3jq77u9/9blq4cGH629/+lv7617+mGTNmpIhId955Z2nM3ni+d/j0pz+djj/++Hb3mfv53rJlS+lnc0Sk6667Lq1evbr0jsLufG53aaA0NTWliGhzu++++/5vAhHplltuKd3fvn17uuqqq9LgwYNToVBIJ554Ypsq/e9//5suueSSNHDgwNS/f/90xhlnpPXr13flUjrkxRdfTJMnT061tbWptrY2TZ48uc3b73Zed0op/fSnP039+/dv929drF+/Pp144olp4MCBqW/fvumwww5LX/ziF9v8zZDu1NF1/+c//0kTJ05MBx54YOrTp0865JBDUlNTU5tzubed73Xr1rX7vHjjcyPH8/3jH/84DR8+PPXt2zcdd9xxZa/kNDU1pQkTJpSNX7JkSTr22GNT375906GHHtpueN9xxx1p5MiRqU+fPmnUqFFlP9By0ZF1T5gwod3z2tTUVBpz2WWXpUMOOST17ds3HXjggWnixIlp6dKle3BFu6cj67722mvTYYcdlvr165f222+/9IEPfCAtWrSozT73tvOd0v9e5e3fv3+64YYb2t1f7ud7x6s/u/qe7c7ndk1K///qFgCATGT1d1AAACIECgCQIYECAGRHoAAA2REoAEB2BAoAkB2BAgBkR6AAANkRKABAdgQKAJAdgQIAZEegAADZ+X8H4SJ9lyhPXQAAAABJRU5ErkJggg==\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -210,13 +153,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 13,
    "id": "a73f8f21-7d09-48ae-a76e-53be7586451b",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -231,13 +174,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 14,
    "id": "a58ebfa8-ad17-49d0-8dbb-ef8e5392be8d",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -252,13 +195,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 15,
    "id": "916edcbe-949f-48fb-aa35-babc9488857a",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -273,13 +216,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 16,
    "id": "bcaa52c1-f254-4f53-8018-b7a9b8c4c391",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -294,13 +237,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 17,
    "id": "7973400e-5a8c-4bb5-a49e-cd63b5a961a0",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
diff --git a/source-code/kullback_leibler_divergence.ipynb b/source-code/kullback_leibler_divergence.ipynb
index 843796a..bf9a38a 100644
--- a/source-code/kullback_leibler_divergence.ipynb
+++ b/source-code/kullback_leibler_divergence.ipynb
@@ -86,7 +86,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "p = scipy.stats.norm(loc=μ, scale=σ).pdf(x)"
+    "q = scipy.stats.norm(loc=μ, scale=σ).pdf(x)"
    ]
   },
   {
@@ -114,7 +114,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "qs = [scipy.stats.norm(loc=μ, scale=σ).pdf(x) for σ in σs]"
+    "ps = [scipy.stats.norm(loc=μ, scale=σ).pdf(x) for σ in σs]"
    ]
   },
   {
@@ -122,7 +122,7 @@
    "id": "55fd805b-0265-4e7b-9396-36aabd0d2b84",
    "metadata": {},
    "source": [
-    "Compute the divergence between the distributions $q$ and $p$."
+    "Compute the divergence between the distributions $p$ and $q$."
    ]
   },
   {
@@ -132,7 +132,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "divs = [kullback_leibler_div(p, q) for q in qs]"
+    "divs = [kullback_leibler_div(p, q) for p in ps]"
    ]
   },
   {
@@ -143,14 +143,12 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
-       "<Figure size 432x288 with 1 Axes>"
+       "<Figure size 640x480 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "needs_background": "light"
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -185,7 +183,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.7"
+   "version": "3.10.9"
   }
  },
  "nbformat": 4,