Proof reading Chapter 13

- Fixed some typos

13-Smoothing.ipynb

@@ -80,7 +80,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -105,7 +105,7 @@
    "source": [
     "After a period of near steady state, we have a very large change. Assume the change is past the limit of the aircraft's flight envelope. Nonetheless the Kalman filter incorporates that new measurement into the filter based on the current Kalman gain. It cannot reject the noise because the measurement could reflect the initiation of a turn. Granted it is unlikely that we are turning so abruptly, but it is impossible to say whether \n",
     "    \n",
-    "* The aircraft started a turn awhile ago, but the previous measurements were noisy and didn't show the change.\n",
+    "* The aircraft started a turn awhile ago, but the previous measurements were noisy and didn't show the change\n",
     "      \n",
     "* The aircraft is turning, and this measurement is very noisy\n",
     "    \n",
@@ -127,7 +127,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0AAAAFrCAYAAAD4l+meAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdeXxcZb0G8OfMlj1pkk62Zm2apU3atLSWilcKXihavFJAZEeQRUDuRa9aAZci4oYIyEVFqIgIAlJAvGC5sllFxFJa2ixNmmZp9mabZpvMds65f4Q5zUwmk2WSnHcmz/fz4QPkzXnnPeeZ8ya/nDPvkVRVVUFERERERLQIGPQeABERERER0UJhAURERERERIsGCyAiIiIiIlo0WAAREREREdGiwQKIiIiIiIgWDZPeAwAARVGgKIrP1yRJgiRJOo2IiIiIiIhEpKoq/BeyNhgMMBimd21HmAJoZGRE72EQEREREVEYiouLm3YBxFvgiIiIiIho0WABREREREREiwYLICIiIiIiWjSE+AxQoMUOZnIfHxERERERLQ6B1g+YyeJpwhZAM1nJgYiIiIiIFq+ZFECsMIiIiIiIaNEQ4gqQqI4cOQKPxwOTyYTi4mK9h0N+mI/4mJH4mJHYmI/4mJH4mJHY9MiHBVAQo6OjcLvdMJvNeg+FAmA+4mNG4mNGYmM+4mNG4mNGYtMjH94CF4QkSdo/JB7mIz5mJD5mJDbmIz5mJD5mJDY98pFUVVUX7NUmoSgKhoaGfL6WkJDARRCIiIiIiMhHqLUDKwwiIiIiIlo0WAAREREREdGiwQKIiIiIiIgWDa4CF0RPTw9kWYbRaITVatV7OOSH+YiPGYmPGYmN+YiPGYmPGYlNj3xYAAXR0dGhLcvHE0Y8zEd8zEh8zEhszEd8zEh8zEhseuTDW+CIiIiIiCgoj6zg23+swvvH+vUeSsh4BSiIvLw8KIrC5bgFxXzEx4zEx4zExnzEx4zEx4xC53DLuOX3B/D64eN4pbITf9t+JuKj5qaM0CMfPgeIiIiIiIgCGhh147rfvof3mm2wmAz4n0vX4ZyyDF3HFGrtwCtAREREREQ0wfFBBz7/2F7Udg0hIdqEnVdtwKnLU/UeVshYABERERERkY/GnmFc9dhetNlGYU2IwhNf2IiVmYl6D2tOsAAKwuPxQFVVSJIEk4mHSjTMR3zMSHzMSGzMR3zMSHzMaOYq2wZw9W/2om/EhfzUWPzu2lORkxI7L6+lRz58FwRRXV2tLctXUVGh93DID/MRHzMSHzMSG/MRHzMSHzOamX8c7cUNT+zDiEtG+bJEPH7NRiyNj5q319MjnxmvMjA0NITt27djy5YtsFqtkCQJd95554Tvu/rqqyFJ0oR/SktL52LcREREREQ0h1451IlrfvMeRlwyTitMxdPXb5rX4kcvM74C1NfXh0ceeQQVFRXYtm0bdu7cOen3xsTE4M0335zwtXCRmJgIj8fDy6WCYj7iY0biY0ZiYz7iY0biY0bT87t/NuM7f6qGqgJbV2fg/ovXIspknPfX1SOfGb9SXl4ebDYbJElCb29v0ALIYDBg06ZNIQ1QTwUFBXoPgYJgPuJjRuJjRmJjPuJjRuJjRsGpqooHXq/Hz96oBwBcsSkX3/1MOYwGaUFeX498ZlwASdLCHAwiIiIiIpo/sqJix5+q8OS7LQCAW/+9CF8+qyjif9+f12tNo6OjyMjIQE9PDzIzM7Ft2zbcddddSElJmXLb6upq5OXlITHx5HJ7TqcTtbW1AIDk5GTk5ub6bFNfXw+73Q4AEz5E1dvbi/b2dgBAbm4ukpOTtTZZllFVVQVg7CFKy5cv99m2qakJg4ODAICysjKfS3QnTpzAsWPHAABZWVmwWq0+2x46dAiqqiImJgbFxcU+ba2trejv7wcAlJSUIDo6WmsbHh5GQ0MDACAtLQ2ZmZk+29bU1GgfGFu1apVPW2dnJ7q7uwEAhYWFiI+P19ocDgfq6uoAACkpKcjJyfHZ9siRIxgdHYUkSVizZo1PW09PDzo6OgCMXQlcsmSJ1ubxeFBdXQ1g7FKmfzXf2NioPbCqvLwcRuPJS6o2mw0tLWMn3rJly7B06VKfbQ8ePAgAiI2NRVFRkU9bS0sLbDYbAKC0tBRRUSfvUx0cHERTUxMAID09HRkZvg/tqq6uhsfjQVRU1ITPpnV0dKCnpwcAsGLFCsTFxWltdrsd9fVjfyVJTU1Fdna2z7Z1dXVwOBwwGo0oLy/3aevu7kZnZycAID8/H0lJSVqby+XC4cOHAQBJSUnIz8/32bahoQHDw8MAgNWrV/s87Kuvrw9tbW0AgOzsbKSmnlyjX1EUVFZWAgDi4+NRWFjo029zczMGBgYAACtXroTFYtHaBgYG0NzcDADIzMxEWlqaz7ZVVVWQZRnR0dEoKSnxaWtra0NfXx8AoKioCLGxJ1ePGRkZwdGjRwEAVqsVWVlZPtvW1tbC6XTCZDKhrKzMp62rqwvHjx8HMPZXI84RnCM4R4zhHDGGc8QYzhEncY4Y4z9HuBUVX3n2A/y5sgsSgBs2LMEn0kbR398v/BzhPU9na94KoIqKClRUVGjB7dmzB/fffz/eeOMNvPfeez4nUyDeJfHGU1UVbrdbaw+0jbfdn6IoWpuiKBPap9uv/5jG9yvLcsB+VVWF2Wye0CbLckj9Trav4/v139fxxzBQv959DVT5T7dfUbKZal/dbjc8Hk/ApwYHy2Y6/brd7oBtwfr1bjtVv4FM9xgG2n78mPxNta8ulwuKovj8IArU72yPYaBjNN1+RXkfco6Y2K8o2XCOmNgv5wjOEf79co6IzDliyOHGTU8dwDsNfTAbJXz3U8tRHD0Mt9sdNnNEKOatAPrKV77i8/9nn3021q1bh89+9rN49NFHJ7RPGJjJNOHkkSRJmwACfVDKZDIFnCCAsc8jedsCvVED9dvY2AiPxwOHw6G1+49pfL+BwjObzVBVNeB4jUZjSP2O//dk/frv6/hjGKhf7zEMNHFNt9+FyAY4+dcg77rxwd4vkx3D8d8z2b7Opl9ZlgO2Bet3/L5O1m+ox3CqffU31b5aLBbIsjxpv959bG9v9/nL5XSOoaIoMz5v9Hgf+vcbbnNEZ2cnurq6YDKZsHz58oiaI/z7Dcc5wvtzyGQyITs7O+LmiFCOoShzRGNjo/YLv8lkirg5IhJ+j/COxeVyBe03HOeIQNsG69dsNuOEQ8blO/eiqmMQcRYjHrlqA0qTJbS1OQEs/BzhdDrhdrvR2Njoc/V0qmMYCkkNoYTq7e2F1WrFjh07Ai6F7U9RFCQmJuLcc8/Fs88+6/N172VNr4SEhIABLKSDBw9y3XiBMR/xMSPxMSOxMR/xMSPxMaOTWvvtuPLX/0Jznx2pcRY8fs1GrM5OmnrDeTSbfEKtHRZ8PUBVVXUvbIiIiIiIFpPDnYO46rG96BlyYtmSGPzu2o1Ybg3+kZRItaAF0K5du2C328NmaWz/D56RWJiP+JiR+JiR2JiP+JiR+JgR8K/GPlz3xD4MOTwozUjAb7+wEemJ0VNvuAD0yGdWBdDu3bsxMjKiXXqqqanBrl27AABbt25FT08PLrvsMlxyySVYsWIFJEnCnj178MADD6CsrAzXXXfd3O3BPAp0ryKJg/mIjxmJjxmJjfmIjxmJb7Fn9JfqLtzy9AG4PAo+kp+MnZ//CJJiAn9mRw965DOrzwDl5+drSzb6a2pqQlJSEq699locOHAAx48fhyzLyMvLw/nnn4877rjDZ8k+QNzPABERERERhas/vNeK2144BEUFzlqZhocuOwXR5vAvCEOtHUJaBGGusAAiIiIiIpobqqril3sacM+rY89sumh9Nn54wWqYjJHxu3XYLYIQTmw2GxRFgcFg8HngGYmB+YiPGYmPGYmN+YiPGYlvsWWkKCrufuUwHvvH2ENcb9xciG98siTkpaPnix75sAAKoqWlRVuWbzGcMOGG+YiPGYmPGYmN+YiPGYlvMWXklhV8/bmD+OMHHQCAb527Etd9fPkUW+lLj3xYABERERERhTm7y4ObntyPPUd6YDJI+MlFa3D+umy9hyUkFkBBLFu2TLskR+JhPuJjRuJjRmJjPuJjRuJbDBnZRly45vH38EHrCUSbDfjlFetxZkma3sOaFj3y4SIIRERERERhquPEKK56bC+Odg8jKcaMx67+CNbnRfatflwEgYiIiIhoETraPYQrf70XnQMOZCZF44kvbERReoLewxIeCyAiIiIiojCzv8WGLzz+Hk7Y3Si0xuGJa0/FsiUxeg8rLLAAIiIiIiIKI2/VdePmJ/dj1C1jbc4SPHb1R5ASZ9F7WGGDBVAQBw8e1Jblq6io0Hs45If5iI8ZiY8ZiY35iI8ZiS/SMvrjgXZ87bmD8CgqTi+24uErTkGsJXx/pdcjn/A9WkREREREi8iv327C916uAQCctzYLP/lsBSwmLho2UyyAgoiNjYXH44HJxMMkIuYjPmYkPmYkNuYjPmYkvkjISFVV3PN/dfjlXxsAAF/4WAG+de5KGAySziMLnR75cBlsIiIiIiJBeWQFd7xYiT/sawMAbP9kCW7aXAhJCv/iZ7a4DDYRERERUQRyuGXc8vsDeP3wcRgk4Afnr8YlG3P1HlbYYwFERERERCSYgVE3rv/tPuxt7ofFZMD/XLoO55Rl6D2siMACiIiIiIhIIN2DDlz12F7Udg0hIdqEnVdtwKnLU/UeVsRgARRES0uL9qGs3FxebhQN8xEfMxIfMxIb8xEfMxJfuGXU1DuCK3/9L7TZRmFNiMJvr9mIVVmJeg9r3uiRD1cZCMJms6G/vx82m03voVAAzEd8zEh8zEhszEd8zEh84ZRRZdsAPvvLd9BmG0V+aiyev/G0iC5+AH3y4RUgIiIiIiKdvXO0F9c/sQ8jLhllWYl4/JqNsCZE6T2siMRlsINwOp1QVRWLine truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -157,7 +157,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -201,7 +201,7 @@
     "\n",
     "* Fixed-Interval Smoothing\n",
     "\n",
-    "This is a batch processing based filter. This filter waits for all of the data to be collected before making any estimates. For example, you may be a scientist collecting data for an experiment, and don't need to know the result until the experiment is complete. A fixed-interval smoother will collect all the data, then estimate the state at each measurement using all available previous and future measurements. If it is possible for you to run your Kalman filter in batch mode it is always recommended to use one of these filters a it will provide much better results than the recursive forms of the filter from the previous chapters.\n",
+    "This is a batch processing based filter. This filter waits for all of the data to be collected before making any estimates. For example, you may be a scientist collecting data for an experiment, and don't need to know the result until the experiment is complete. A fixed-interval smoother will collect all the data, then estimate the state at each measurement using all available previous and future measurements. If it is possible for you to run your Kalman filter in batch mode it is always recommended to use one of these filters as it will provide much better results than the recursive forms of the filter from the previous chapters.\n",
     "\n",
     "\n",
     "* Fixed-Lag Smoothing\n",
@@ -286,7 +286,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -360,7 +360,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -387,7 +387,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -425,7 +425,7 @@
     },
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -463,7 +463,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 800x200 with 1 Axes>"
       ]
@@ -510,7 +510,7 @@
     },
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 900x400 with 1 Axes>"
       ]
@@ -585,11 +585,9 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "[1] H. Rauch, F. Tung, and C. Striebel. \"Maximum likelihood estimates of linear dynamic systems,\" *AIAA Journal*, **3**(8), pp. 1445-1450 (August 1965).\n",
+    "- [1] H. Rauch, F. Tung, and C. Striebel. \"Maximum likelihood estimates of linear dynamic systems,\" *AIAA Journal*, **3**(8), pp. 1445-1450 (August 1965). http://arc.aiaa.org/doi/abs/10.2514/3.3166\n",
     "\n",
-    "[2] Dan Simon. \"Optimal State Estimation,\" John Wiley & Sons, 2006.\n",
-    "\n",
-    "http://arc.aiaa.org/doi/abs/10.2514/3.3166"
+    "- [2] Dan Simon. \"Optimal State Estimation,\" John Wiley & Sons, 2006."
    ]
   }
  ],
@@ -610,7 +608,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.4"
+   "version": "3.7.3"
   }
  },
  "nbformat": 4,