Proof reading Chapter 5

Fixed some typos

05-Multivariate-Gaussians.ipynb

@@ -18,7 +18,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 10,
    "metadata": {
     "scrolled": true
    },
@@ -52,7 +52,7 @@
        "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 6,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -123,12 +123,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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+      "image/png": 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truncated
       "text/plain": [
        "<Figure size 648x288 with 1 Axes>"
       ]
@@ -159,7 +159,7 @@
     "\n",
     "Where $\\mathbb E[X]$ is the *expected value* of X, defined as\n",
     "\n",
-    "$$\\mathbb E[X] =  \\begin{cases} \\sum_{i=1}^n p_ix_i & \\mbox{discrete}\\\\ \\int_{-\\infty}^\\infty f(x)\\, x & \\mbox{continuous}\\end{cases}$$\n",
+    "$$\\mathbb E[X] =  \\begin{cases} \\sum_{i=1}^n p_ix_i & \\mbox{discrete}\\\\ \\int_{-\\infty}^\\infty f(x)\\, x dx & \\mbox{continuous}\\end{cases}$$\n",
     "\n",
     "We assume each data point is equally likely, so the probability of each is $\\frac{1}{N}$, giving\n",
     "\n",
@@ -253,7 +253,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
@@ -263,7 +263,7 @@
        "       [  2.727, 327.235]])"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 12,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -289,7 +289,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
@@ -299,7 +299,7 @@
        "       [  2.182, 261.788]])"
       ]
      },
-     "execution_count": 9,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -321,7 +321,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
@@ -331,7 +331,7 @@
        "       [6.956, 6.956]])"
       ]
      },
-     "execution_count": 10,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -353,12 +353,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 648x288 with 1 Axes>"
       ]
@@ -395,12 +395,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAesAAAD4CAYAAADMxs4gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOy9eWBU5b3//z6zZiaTyTJZCCQDNUKAIpuyiXKhSttr7bWKVcTei9a17a3YgrfLbfWnfu/PBaxibauIP2tbEC3oz3uxtzVqKYJsSgAxEDAoM2TPJGEymckkM3O+f0zO5Mw5z3OWySSZhOf1j5I5c7Y55/k8z2d5fzie58FgMBgMBiNzMYz0CTAYDAaDwVCGGWsGg8FgMDIcZqwZDAaDwchwmLFmMBgMBiPDYcaawWAwGIwMxzQUOy0sLOSLioqQnZ09FLvPGLq7u8f0NbLrG/2M9Wtk1ze6GevXBwxc48cff9zG83xRqvsZEmM9adIkbNiwAUuXLh2K3WcMu3btGtPXyK5v9DPWr5Fd3+hmrF8fMHCNHMedHcx+mBucwWAwGIwMhxlrBoPBYDAyHGasGQwGg8HIcJixZjAYDAYjw2HGmsFgMBiMDIcZawaDMerw+oJYs60ajx8MYc22anh9wZE+JQZjSBmS0i0Gg8EYKry+IG596QA87XEDfbK9AdWeTmy5YwHKXfYRPjsGY2hgK2sGgzGq2FBVmzDUAp72IDZU1Y7QGTEYQw8z1gwGY1TR7O8h/r2F8ncGYyzAjDWDwRhVlDiziH8vpvydwRgLMGPNYDBGFeuWV8JdkBybdhfYsW555QidEYMx9DBjzWAwRhXlLju23LEA180ej6kFBlw3ezxLLmOMeVg2OIPBGHWUu+zYuHJOf5OEOSN9OgzGkMNW1gwGg8FgZDjMWDMYDAaDkeEwY81gMBgMRobDjDWDwWAwGBkOM9YMBoPBYGQ4LBucwWBkLF5fXEa02d+DEmcW1i2vZCVajAsSZqwZDEZGIm3YAYA17GBcsDA3OIPByEhYww4GYwC2smYwGBnJhdiwQ+r2X+yMjvQpMTIEZqwZDEZGMpiGHaMx1k1y+++zcVi0IJjx584YepgbnMFgZCSpNuwQjN5bRxqw/0w73jrSgFtfOgCvL6j4vZGG5PZvCfHM7c8AwIw1g8HIUMQNOxZdVKC5YcdojXVfiG5/hnaYG5zBYGQsQsMOPYxWo8f6dDOUYCtrBoMxphitRo/k9i+2caxPNwMAW1kzGIwxxrrllaj2dCa5wrXEukcawe2/oaoWLf4eFDuzsNjZzpLLGACYsWYwGMPMUGdqk4zeaMgGB+Ru/127do3cyTAyCmasGQzGsDFYVTKtdcipxLoZjEyGGWsGgzFsKGVqqxlXVofMuJBhxprBYAwbg8nUVqpDZqtofXh9QTy88ziqvecBHpjrzseD105nk54MhhlrBoMxbAwmU3u0lmRlGl5fEDe98CEa/eHE36pONKOm0Y9tdy1kBjtDYaVbDAZj2EhVlQwYvSVZmcaGqtokQy1Q3xnKeOGYCxm2smYwGMPGYDK1SSVZrA5ZPzQPBcC8FJkMM9YMBmNYSTVTO5PqkDOtUYie86F5KADmpchkmLFmMBijhlTqkNNtWAdbfpZu9J7PuuWVOHjGJ3OFT8izMS9FBsOMNYPBGFOIjbPDasSJxgDqO0OJzwdrWAdTfjYU6D2fcpcdr99zOR7eeRxHvOfB68gG9/qCeGRnDQ57OgAOmFOei4euncGS0oYBTcaa47g8AJsBzADAA/guz/P7hvLEGAxG5pBpbl8apFWmlMEaVlrMd8/pNqzctG/Y708qWfLlLjs2r56v6zheXxArX9yfNPF590QrPq3/EK/fc7kmQy99hhja0bqy3gjgrzzP38hxnAVA5r2lDAYjbYgH1hyrGcfrO5PcpiPp9lWCtMokoTeRSnw/znWEiNv4unvhO9MOYHjvT7qz5GkTsw1VtUmGWqDRH1ad/NBc9f8+I5bSOV6IqBprjuOcAJYAuA0AeJ7vBdA7tKfFYDBGiuFYnQ4VSpnOYvQYMtL9MBk4RGI89TvDeX/S2bhEKf49mCxymqv+jdNG3KT7LC9MOJ6nP3AAwHHcbACbANQAmAXgYwBreJ7vlmx3N4C7AaCkpOTSzZs3w+FwDMlJZwqBQGBMXyO7vvTREozijdN96AzzyLNyuGGyGcV245AfN5VrfP5oD/Y3kjW3xUwtMOCn822pnlpakF6flnMvtnFYN8+q+f7T9unK4lBk59AQiMFPWL6k4/5o/f20PF9atqFd68LS+Ha0e7uw1Ih7Z9EnQI8fDOFku3wVPdHB4+Erxu4YAwz8hsuWLfuY5/nLUt2PFje4CcBcAD/kef4Ax3EbAfwUwC/FG/E8vwlxo47LLruMdzgcWLp0aarnNSrYtWvXmL5Gdn3pwesL4sGXDsDTPjDQNYSt2HLH/JSaV+iJh6Zyjc+f2gegXXW7Svc4LF06sitr6fVVXCJfGZY6rZgxIQ+BcF9SXbfW+0q7H1PG5+PVuxdhzbZqvHWkQfZ5Ou6Pnt9PaYWq9RmkXStny8WTK2bJYtZA/P6u/45yzPrNpmqcbJffo6YQh4pLtL0Ho5V0jTNajPU5AOd4nj/Q/+/tiBtrBoOhgXQ3rxjqeKhSHa5ApvaH1iq6oue+qsWER0P/bK3PoNK1lrvs2HbXwkQ2OMcBszVmg69bXomqmmYEe5NX5uEoMjKckomoGmue55s4jvNyHFfJ83wtgKsQd4kzGAwNpLt5xVDHQ0l1uMU5Vswsc6I7HB01/aGVAnx67uuqeW68faxRFqP2dYXh9QXT3j9bvOJHqAcVlwy+q5jWZ1Bt4lHusuPF1fo9ueUuOya57Khp7JJ95vWpJwQytGeD/xDAlv5M8DMAbh+6U2IwxhajsXmFwZDcNsBsNIxYPa2eMIDailnY1/snW6jfX7OtOulYWw95iMlke+p8uPWlA4l9p2PyRDp/8TFSReszmO6Jhxh/T4T495aAXKecIUeTseZ5/giAlAPjDMaFzGDcpCPRvIJUoiM0eRhud6UWd7W0rEpaWiWsmNctr1TNcj/Z3IXD3s7Ev6tqmjFJwVCl28uhtuJPtbUl6Rm0mgwIhqMJ74B0UvTkillpnZwVZpuJZW9F2ea0HWMswxTMGIwhJt3NK4Y6HppJrSjVjFdLMNqfOKXsSvW0BVRrsO0WoyymGuyNorY5oLjv3ada0yaGQrv3nrbAoFpbCs/gwzuP44PTPoQjMYQjMVSdaEZtcxfWr5iJB3YcG9LciImFDhw555f93V04trPB0wUz1gzGMJDO5hVDHS/OpFaUahOHN073JWU406ht6abGsJ1ZJiybWoyzbQGiMYnGeBg4gFZW3RHsw36CGEoqWfy0e1/b0o2Hdx5XbG2p9nyVu+zItpoRjiSXUHnag1i7/SjVI5EurwHrmjY4mLFmMDKYoWhCQdqfVE97Qp4tyRU+UtnNahOHzrCyToRAsDeKtu4+4mfLphZj48o5WLOtmmisASA3y4SOEDnmKkbJ5a5lpUrLmg72RuOubwpavR60yY8/RL436fSmZFLXtNEIM9YMRoaS7rIt2v7Wr5iJ+1+rTlq1FWWbsXxaiaw2ebhRCwPkWTnN+yp2WGHgOOq+aIYSAC6dlI9Tzd2apUxTzeIvd9lRWZKDalHcPIHCvESr14M2+XHazMQEsHR7U1LpmjZceDwerF27Ftu3b8fGjRtx3333jfQpJWFQ34TBYIwESgN+Ovd3n8RQA0Brdx94xPDq3YuwceWcEVv9CKux62aPx5wyJ8rybXBlW7ChqhZeXxA3TDbDXZB8bnYLWZmsJRCGK9uCsnwb5pQ5cd3s8UkTn3KXHS+vnif7vt1ixF1XVGDLHQtQlq+uSFbszBpU3N9Nuddz3fkodVplf9fT2nLd8krZ/XIX2PHUjbOIfx/rLuqdO3eirKwMHMdh4sSJ2L59OwDg9OnTI3xmcpixZjAylHQnetH25wuQpf6PKLhdh5NyV9xo+IIRnOsIodrbibeONODWl+I6TYIxX3RRAa6bPR6PX3+JzOCaDFziu+c6QvAFI0RvwYIKl8xgB3ujeGDHMQDAq3culBk1MYKBG0zcn2RQrSYDeMTwzM1zcPW0IhQ6LHBlW7B8Wgm23bUQALBmWzVWbtqHNduqFWuXp5RkwyX6/pY7FmBBhUt2H4e7UYtQNqflGlKlu7sbv/jFL8BxHDiOwze/+U3U19cnPn/sscfQ09ODX//612k/9mBhbnAGI0NJd6IXbX8GiidZpW3AkKDU8YnaCOKaAdeq4OoXu7KNhKYb0nIo8TGD4ajMFS7eXhx3zbYawcEgCxcMJotf8Cb87I1j2FvnAw8gHInh3ROtONXcLTOiWsMlpO1qmwdEStJVK54KQ6nU9+mnn+KHP/wh/v73v8s+mzZtGn7729+OClllZqwZjAwl3WVbpP1NyLMhHImijbC6NhsNiRrc4eBAnQ+3v3IoyVCqdXySJpiRjHqUksbd4u8hGgmriexwFDwaWoxaOrL4D3s7ZWFqUtxba3yctt23frcXV1xcOKKqdOlU6ovFYvjTn/6Ee++9F6GQvK779ttvx2OPPYaSkpJBnfNww4w1g5GhpLtsS7o/R3+fapKhBoAmf09a1LMElDLbvb6gzFADAwM2zSsgTTDT2iITiHsoSEZCWtqUOP+OkK7Ji9Sok9TRaPvaUFVLTHQDgM+akiU7tYZLlMIgbx1pGNEe5YMN+fh8Pvznf/4nXnjhBdlnRqMRv/vd7/Dd734XRuPQd7obKpixZjAymHS7JsX7W7NNnlgmRcldrNa9Svz3nP6Jgfh4YuOgZJxa/D14csUsopfhhsnJhpVm1KWCJ4KH4oEdR4nbW00GmdE+1xEiTl60lNfpVWI73UIXYjnZEkiaNGgNl6g1aPG0x9XRNq+er7id+JrSVVaYSshn375Line truncated
       "text/plain": [
        "<Figure size 648x288 with 1 Axes>"
       ]
@@ -414,8 +414,8 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[[10.433  2.934]\n",
-      " [ 2.934  2.317]]\n"
+      "[[10.496  3.111]\n",
+      " [ 3.111  2.456]]\n"
      ]
     }
    ],
@@ -438,12 +438,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 648x288 with 1 Axes>"
       ]
@@ -457,8 +457,8 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[[1.005 0.005]\n",
-      " [0.005 1.005]]\n"
+      "[[ 0.999 -0.   ]\n",
+      " [-0.     0.999]]\n"
      ]
     }
    ],
@@ -500,14 +500,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 18,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": 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truncated
       "text/plain": [
        "<Figure size 648x288 with 1 Axes>"
       ]
@@ -548,7 +548,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -568,7 +568,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -584,7 +584,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -600,7 +600,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
@@ -626,7 +626,7 @@
        "0.0315"
       ]
      },
-     "execution_count": 19,
+     "execution_count": 23,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -645,7 +645,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [
     {
@@ -680,19 +680,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 25,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -720,19 +722,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 26,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 3 Axes>"
+       "<Figure size 648x288 with 3 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -762,19 +766,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 27,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -798,16 +804,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 28,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": 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truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
      "metadata": {},
@@ -833,17 +839,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -876,17 +884,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -919,17 +929,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -951,7 +963,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [
     {
@@ -961,7 +973,7 @@
        "       [ 135.701 , 1092.29  ]])"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 32,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -973,19 +985,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 33,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1006,17 +1020,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": 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truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1041,13 +1057,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "ae16868906cb4db9a9320aa237fda5da",
+       "model_id": "bb39c3c21cc24598bf41c25571ed2dc2",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1106,16 +1122,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "0.9539731096080194"
+       "0.9539731096080192"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 37,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1134,7 +1150,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
@@ -1143,7 +1159,7 @@
        "-0.9178223453527254"
       ]
      },
-     "execution_count": 29,
+     "execution_count": 38,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1163,17 +1179,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 30,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1194,17 +1212,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1237,17 +1257,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 32,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1294,19 +1316,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 33,
+   "execution_count": 42,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1324,19 +1348,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 43,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1357,19 +1383,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 44,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1395,17 +1423,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1424,17 +1454,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1456,19 +1488,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 47,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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\n",
       "text/plain": [
-       "<Figure size 800x200 with 1 Axes>"
+       "<Figure size 576x144 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1489,17 +1523,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 48,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1520,17 +1556,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1553,17 +1591,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1593,17 +1633,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1620,17 +1662,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 52,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": 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truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1654,17 +1698,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 53,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1681,17 +1727,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 54,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1708,19 +1756,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 55,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1739,19 +1789,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 56,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": 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truncated
       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1801,7 +1853,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": 57,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1824,19 +1876,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 49,
+   "execution_count": 58,
    "metadata": {
     "scrolled": true
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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       "text/plain": [
-       "<Figure size 900x400 with 1 Axes>"
+       "<Figure size 648x288 with 1 Axes>"
       ]
      },
-     "metadata": {},
+     "metadata": {
+      "needs_background": "light"
+     },
      "output_type": "display_data"
     }
    ],
@@ -1879,6 +1933,13 @@
     "- [2] `FilterPy` library. Roger Labbe.\n",
     "https://github.com/rlabbe/filterpy"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {
@@ -1898,7 +1959,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.4"
+   "version": "3.8.3"
   },
   "widgets": {
    "application/vnd.jupyter.widget-state+json": {

09-Nonlinear-Filtering.ipynb

@@ -705,7 +705,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.4"
+   "version": "3.8.3"
   }
  },
  "nbformat": 4,