1. common_patterns.ipynb

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 "cells": [
  {
   "source": [
    "# Common Pattern"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "## Setup\n"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_series(time, series, format=\"-\", start=0, end=None, label=None):\n",
    "    plt.plot(time[start:end], series[start:end], format, label=label)\n",
    "    plt.xlabel(\"Time\")\n",
    "    plt.ylabel(\"Value\")\n",
    "    if label:\n",
    "        plt.legend(fontsize=14)\n",
    "    plt.grid(True)"
   ]
  },
  {
   "source": [
    "## Trend and Seasonality"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def trend(time, slope=0):\n",
    "    return slope * time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "time = np.arange(4 * 365 + 1)\n",
    "baseline = 10\n",
    "series = baseline + trend(time, 0.1)\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plot_series(time, series)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "array([   0,    1,    2, ..., 1458, 1459, 1460])"
      ]
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "source": [
    "time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "array([ 10. ,  10.1,  10.2, ..., 155.8, 155.9, 156. ])"
      ]
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "source": [
    "series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def seasonal_pattern(season_time):\n",
    "    \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n",
    "    return np.where(season_time < 0.4,\n",
    "                    np.cos(season_time * 2 * np.pi),\n",
    "                    1 / np.exp(3 * season_time))\n",
    "\n",
    "def seasonality(time, period, amplitude=1, phase=0):\n",
    "    \"\"\"Repeats the same pattern at each period\"\"\"\n",
    "    season_time = ((time + phase) % period) / period\n",
    "    return amplitude * seasonal_pattern(season_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "amplitude = 40\n",
    "series = seasonality(time, period=365, amplitude=amplitude)\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plot_series(time, series)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 720x432 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "slope = 0.05\n",
    "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plot_series(time, series)\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "## Noise"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def white_noise(time, noise_level=1, seed=None):\n",
    "    rnd = np.random.RandomState(seed)\n",
    "    return rnd.randn(len(time)) * noise_level"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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178.223864 \nL 219.579326 133.767449 \nL 219.926773 180.236655 \nL 220.27422 96.9253 \nL 220.621667 109.690453 \nL 220.969114 193.464734 \nL 221.316561 142.449818 \nL 221.664008 156.083846 \nL 222.011455 125.853807 \nL 222.358902 223.389808 \nL 222.706349 154.383725 \nL 223.053796 138.819586 \nL 223.401243 256.569073 \nL 223.74869 232.515596 \nL 224.096138 268.292875 \nL 224.443585 194.31918 \nL 225.138479 120.26446 \nL 225.485926 179.961784 \nL 225.833373 114.987212 \nL 226.18082 240.743075 \nL 226.528267 254.255305 \nL 226.875714 185.380473 \nL 227.223161 167.005886 \nL 227.570608 184.425284 \nL 227.918055 269.47197 \nL 228.265502 186.783702 \nL 228.612949 237.581873 \nL 228.960397 155.068317 \nL 229.307844 167.735966 \nL 229.655291 222.343054 \nL 230.002738 204.53692 \nL 230.350185 227.330866 \nL 231.045079 143.136488 \nL 231.392526 224.259298 \nL 231.739973 161.991017 \nL 232.08742 205.222005 \nL 232.434867 216.198579 \nL 232.782314 187.532303 \nL 233.129761 226.328938 \nL 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248.417433 103.25052 \nL 248.76488 241.514906 \nL 249.112327 159.528214 \nL 249.459774 210.253756 \nL 249.807221 203.4192 \nL 250.154668 207.819127 \nL 250.502115 219.171107 \nL 250.849562 181.030669 \nL 251.197009 217.790101 \nL 251.544456 171.754406 \nL 251.891903 185.158547 \nL 252.23935 193.046089 \nL 252.586798 220.992331 \nL 252.934245 207.166147 \nL 253.281692 151.485519 \nL 253.629139 162.121814 \nL 253.976586 223.917781 \nL 254.324033 178.906927 \nL 254.67148 151.652879 \nL 255.018927 252.835156 \nL 255.366374 160.347817 \nL 255.713821 210.754536 \nL 256.061268 159.209325 \nL 256.756162 258.497704 \nL 257.10361 251.085408 \nL 257.451057 181.048921 \nL 257.798504 172.20307 \nL 258.145951 220.856614 \nL 258.493398 156.367377 \nL 258.840845 252.505576 \nL 259.188292 185.820685 \nL 259.535739 233.675789 \nL 260.230633 181.077606 \nL 260.57808 219.021582 \nL 260.925527 199.132071 \nL 261.272974 140.998542 \nL 261.620421 207.171185 \nL 261.967869 148.129169 \nL 262.315316 230.277288 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188.316274 \nL 292.543211 180.729592 \nL 292.890658 137.324625 \nL 293.238105 253.798972 \nL 293.585552 119.127858 \nL 293.932999 189.66302 \nL 294.280446 200.901158 \nL 294.975341 252.227066 \nL 295.322788 148.652534 \nL 295.670235 179.994253 \nL 296.017682 236.975454 \nL 296.365129 237.189367 \nL 296.712576 197.093587 \nL 297.060023 113.298356 \nL 297.40747 193.908921 \nL 297.754917 245.885861 \nL 298.102364 193.330101 \nL 298.449811 194.45781 \nL 298.797258 295.780972 \nL 299.144705 185.328108 \nL 299.492152 192.711147 \nL 300.187047 105.7776 \nL 300.534494 135.971504 \nL 300.881941 194.297523 \nL 301.229388 229.30839 \nL 301.576835 75.499573 \nL 301.924282 180.583573 \nL 302.619176 184.067097 \nL 302.966623 174.779353 \nL 303.661517 207.036186 \nL 304.008964 205.915894 \nL 304.356412 184.42773 \nL 304.703859 205.772355 \nL 305.051306 212.853674 \nL 305.398753 178.610254 \nL 305.7462 193.716063 \nL 306.093647 120.196082 \nL 306.441094 293.861778 \nL 306.788541 137.436836 \nL 307.135988 130.975899 \nL 307.483435 269.720585 \nL 307.830882 197.382109 \nL 308.178329 198.583914 \nL 308.525776 241.888745 \nL 308.873223 215.569274 \nL 309.220671 229.477666 \nL 309.568118 109.818787 \nL 309.915565 143.950025 \nL 310.263012 129.911329 \nL 310.610459 152.894885 \nL 310.957906 230.249908 \nL 311.305353 204.9822 \nL 311.6528 162.604263 \nL 312.000247 234.140223 \nL 312.347694 153.257418 \nL 312.695141 193.103658 \nL 313.042588 198.725186 \nL 313.390035 153.34262 \nL 313.737482 164.489786 \nL 314.08493 198.146101 \nL 314.432377 134.602029 \nL 314.779824 228.244126 \nL 315.127271 157.31437 \nL 315.474718 158.268781 \nL 315.822165 195.996902 \nL 316.169612 169.427298 \nL 316.517059 235.351746 \nL 316.864506 144.43702 \nL 317.211953 190.787123 \nL 317.5594 204.90708 \nL 317.906847 139.213117 \nL 318.254294 212.498311 \nL 318.601742 241.928436 \nL 318.949189 248.121434 \nL 319.296636 157.729234 \nL 319.644083 236.577062 \nL 319.99153 109.713302 \nL 320.338977 270.077498 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349.177084 174.377978 \nL 349.524531 171.707509 \nL 349.871978 236.423216 \nL 350.219425 228.243843 \nL 350.566872 139.039925 \nL 350.914319 184.71203 \nL 351.261766 154.573934 \nL 351.609213 181.875108 \nL 351.956661 181.815014 \nL 352.304108 143.841126 \nL 352.651555 204.627947 \nL 352.999002 179.04116 \nL 353.346449 202.380536 \nL 353.693896 201.21945 \nL 354.041343 195.981257 \nL 354.38879 173.774173 \nL 354.736237 203.069075 \nL 355.083684 130.571681 \nL 355.431131 220.450792 \nL 355.778578 190.869443 \nL 356.126025 201.438251 \nL 356.473473 122.579152 \nL 356.82092 174.843302 \nL 357.168367 139.930552 \nL 357.515814 245.150959 \nL 357.863261 171.89679 \nL 358.210708 145.874685 \nL 358.558155 179.619498 \nL 358.905602 138.524669 \nL 359.253049 204.679931 \nL 359.600496 124.151999 \nL 359.947943 86.971295 \nL 360.29539 198.224362 \nL 360.642837 201.679482 \nL 360.990284 122.311375 \nL 361.337732 117.037087 \nL 361.685179 204.912807 \nL 362.032626 200.621357 \nL 362.380073 194.836536 \nL 362.72752 239.252966 \nL 363.074967 221.45579 \nL 363.422414 225.028981 \nL 363.769861 215.150503 \nL 364.117308 184.508466 \nL 364.464755 173.269223 \nL 364.812202 118.2522 \nL 365.159649 224.787112 \nL 365.507096 141.916843 \nL 365.854544 192.002865 \nL 366.201991 185.126179 \nL 366.549438 154.85319 \nL 366.896885 229.985342 \nL 367.244332 167.07509 \nL 367.591779 176.101505 \nL 367.939226 162.475666 \nL 368.286673 170.972305 \nL 368.63412 80.434133 \nL 368.981567 209.714464 \nL 369.329014 205.252907 \nL 369.676461 209.104248 \nL 370.023908 206.276109 \nL 370.371355 209.699716 \nL 370.718803 133.361207 \nL 371.06625 123.685676 \nL 371.413697 206.914317 \nL 371.761144 217.848845 \nL 372.108591 163.354899 \nL 372.456038 206.140098 \nL 372.803485 156.603976 \nL 373.150932 174.577128 \nL 373.498379 246.412554 \nL 373.845826 118.377395 \nL 374.193273 107.996128 \nL 374.54072 208.671571 \nL 374.888167 199.263565 \nL 375.235614 171.110371 \nL 375.583062 169.079388 \nL 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391.565627 117.12565 \nL 391.913074 187.04182 \nL 392.607968 157.650381 \nL 392.955415 175.259003 \nL 393.302862 201.718399 \nL 393.650309 174.946323 \nL 393.997756 138.183965 \nL 394.345204 225.964173 \nL 394.692651 177.50098 \nL 395.040098 212.321806 \nL 395.387545 133.109166 \nL 395.734992 246.723642 \nL 396.777333 117.624259 \nL 397.12478 185.806911 \nL 397.472227 206.264506 \nL 397.819674 104.43169 \nL 398.167121 243.581623 \nL 398.514568 274.962607 \nL 398.862015 164.667376 \nL 399.209463 204.043183 \nL 399.55691 225.74338 \nL 399.904357 153.45144 \nL 400.251804 172.868556 \nL 400.946698 236.57184 \nL 401.294145 146.592487 \nL 401.641592 155.882166 \nL 401.989039 187.204007 \nL 402.336486 105.874532 \nL 402.683933 227.785253 \nL 403.03138 246.821375 \nL 403.726275 184.964103 \nL 404.073722 172.887835 \nL 404.421169 193.141721 \nL 404.768616 168.343816 \nL 405.116063 235.369545 \nL 405.46351 122.713458 \nL 405.810957 186.492423 \nL 406.158404 136.35893 \nL 406.505851 168.733786 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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "noise_level = 5\n",
    "noise = white_noise(time,noise_level, seed=42)\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plot_series(time, noise)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 720x432 with 1 Axes>",
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151.907997 \nL 215.062514 141.644046 \nL 215.409961 159.866763 \nL 215.757408 151.161567 \nL 216.104855 149.300295 \nL 216.452302 146.102697 \nL 216.799749 144.951957 \nL 217.147196 164.766663 \nL 217.494643 169.900093 \nL 217.84209 141.865612 \nL 218.536984 164.652028 \nL 218.884431 141.942337 \nL 219.231879 157.726613 \nL 219.579326 147.780967 \nL 219.926773 160.260784 \nL 220.27422 140.768078 \nL 220.621667 144.969705 \nL 220.969114 166.68694 \nL 221.316561 155.19614 \nL 221.664008 159.652651 \nL 222.011455 153.310817 \nL 222.358902 178.472107 \nL 222.706349 162.597769 \nL 223.053796 159.907099 \nL 223.401243 190.085772 \nL 223.74869 185.32518 \nL 224.096138 195.321792 \nL 224.443585 178.278267 \nL 225.138479 162.432927 \nL 225.485926 178.363961 \nL 225.833373 163.575735 \nL 226.18082 195.805354 \nL 226.528267 200.378128 \nL 226.875714 184.652436 \nL 227.223161 181.38073 \nL 227.570608 186.937942 \nL 227.918055 209.169651 \nL 228.265502 190.065505 \nL 228.612949 203.867404 \nL 228.960397 184.816953 \nL 229.307844 189.2306 \nL 229.655291 203.985384 \nL 230.002738 200.896288 \nL 230.350185 207.817388 \nL 231.045079 189.680736 \nL 231.392526 210.986069 \nL 231.739973 196.951456 \nL 232.08742 208.920709 \nL 232.434867 212.941132 \nL 232.782314 207.191272 \nL 233.129761 218.069162 \nL 233.477209 214.423226 \nL 233.824656 222.374529 \nL 234.172103 191.107509 \nL 234.51955 212.296277 \nL 234.866997 221.177849 \nL 235.214444 213.072509 \nL 235.561891 217.738691 \nL 235.909338 220.159272 \nL 236.256785 212.85359 \nL 236.604232 212.670556 \nL 236.951679 227.22849 \nL 237.299126 228.979572 \nL 237.646573 227.160057 \nL 237.99402 249.313626 \nL 238.341468 242.475957 \nL 238.688915 214.046052 \nL 239.036362 212.434765 \nL 239.383809 233.192614 \nL 239.731256 225.926011 \nL 240.078703 229.889481 \nL 240.42615 202.599738 \nL 240.773597 223.996956 \nL 241.468491 247.771733 \nL 241.815938 255.66097 \nL 242.163385 238.188934 \nL 242.858279 257.250334 \nL 243.205727 250.399028 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186.830065 \nL 258.493398 171.007571 \nL 258.840845 194.773631 \nL 259.188292 178.407114 \nL 259.535739 190.269962 \nL 260.230633 177.437768 \nL 260.57808 186.853648 \nL 260.925527 182.01389 \nL 261.272974 167.74674 \nL 261.620421 184.116101 \nL 261.967869 169.622361 \nL 262.315316 189.926559 \nL 262.662763 172.886396 \nL 263.01021 163.54806 \nL 263.357657 203.914325 \nL 264.052551 172.609627 \nL 264.399998 180.695604 \nL 264.747445 174.828534 \nL 265.094892 184.921015 \nL 265.442339 177.852521 \nL 265.789786 180.392749 \nL 266.137233 166.801991 \nL 266.48468 176.253284 \nL 266.832128 175.437216 \nL 267.179575 183.19787 \nL 267.527022 184.016525 \nL 267.874469 183.48678 \nL 268.221916 175.003296 \nL 268.569363 183.438811 \nL 268.91681 176.15065 \nL 269.264257 157.788322 \nL 269.959151 182.589575 \nL 270.306598 166.885802 \nL 271.001492 200.312532 \nL 271.34894 189.727571 \nL 271.696387 198.640196 \nL 272.043834 183.013079 \nL 272.391281 179.225244 \nL 272.738728 162.166778 \nL 273.086175 176.09021 \nL 273.433622 181.735325 \nL 273.781069 170.952883 \nL 274.128516 202.293932 \nL 274.475963 177.105091 \nL 274.82341 171.607125 \nL 275.170857 194.795591 \nL 275.518304 167.794931 \nL 276.213199 183.88124 \nL 276.560646 173.095525 \nL 276.908093 156.232457 \nL 277.25554 177.760516 \nL 277.602987 177.085441 \nL 277.950434 184.382375 \nL 278.297881 188.411727 \nL 278.645328 171.108646 \nL 278.992775 188.486668 \nL 279.340222 178.934219 \nL 279.687669 184.595331 \nL 280.035116 174.742516 \nL 280.382563 176.240945 \nL 280.730011 168.990288 \nL 281.077458 184.932577 \nL 281.424905 182.457545 \nL 281.772352 189.758385 \nL 282.119799 184.249578 \nL 282.467246 175.782066 \nL 282.814693 171.866159 \nL 283.16214 189.159197 \nL 283.509587 170.694703 \nL 283.857034 165.680864 \nL 284.204481 175.379608 \nL 284.551928 160.295966 \nL 284.899375 187.592543 \nL 285.59427 197.924461 \nL 285.941717 164.177065 \nL 286.636611 180.136434 \nL 286.984058 176.665936 \nL 287.331505 191.13023 \nL 287.678952 154.324911 \nL 288.026399 178.173442 \nL 288.373846 178.361101 \nL 288.721293 171.994073 \nL 289.416187 177.12767 \nL 289.763634 187.557991 \nL 290.458529 159.985661 \nL 290.805976 165.492225 \nL 291.153423 162.917698 \nL 291.50087 184.57405 \nL 291.848317 189.478905 \nL 292.195764 180.555977 \nL 292.543211 178.661375 \nL 292.890658 167.937966 \nL 293.238105 196.61952 \nL 293.585552 163.400396 \nL 293.932999 180.758022 \nL 294.280446 183.500037 \nL 294.975341 196.092821 \nL 295.322788 170.535023 \nL 295.670235 178.229555 \nL 296.017682 192.242877 \nL 296.365129 192.264125 \nL 296.712576 182.349621 \nL 297.060023 161.663893 \nL 297.40747 181.498833 \nL 297.754917 194.275847 \nL 298.102364 181.288025 \nL 298.449811 181.531054 \nL 298.797258 206.468789 \nL 299.144705 179.209344 \nL 299.492152 180.992471 \nL 300.187047 159.491101 \nL 300.534494 166.894824 \nL 300.881941 181.231765 \nL 301.229388 189.821673 \nL 301.576835 151.872502 \nL 301.924282 177.732358 \nL 302.619176 178.508826 \nL 302.966623 176.177848 \nL 303.661517 184.043081 \nL 304.008964 183.723652 \nL 304.356412 178.383646 \nL 304.703859 183.600191 \nL 305.051306 185.300766 \nL 305.398753 176.815519 \nL 305.7462 180.492947 \nL 306.093647 162.326228 \nL 306.441094 205.08312 \nL 306.788541 166.481815 \nL 307.135988 164.841814 \nL 307.483435 198.990321 \nL 307.830882 181.11252 \nL 308.178329 181.359812 \nL 308.525776 191.983832 \nL 308.873223 185.447049 \nL 309.220671 188.824827 \nL 309.568118 159.281728 \nL 309.915565 167.642989 \nL 310.263012 164.131338 \nL 310.610459 169.744173 \nL 310.957906 188.757574 \nL 311.305353 182.477044 \nL 311.6528 171.978929 \nL 312.000247 189.556867 \nL 312.347694 169.567611 \nL 312.695141 179.334149 \nL 313.042588 180.664894 \nL 313.390035 169.424219 \nL 313.737482 172.116087 \nL 314.08493 180.355416 \nL 314.432377 164.637294 \nL 314.779824 187.660606 \nL 315.127271 170.121367 \nL 315.474718 170.299107 \nL 315.822165 179.540124 \nL 316.169612 172.933253 \nL 316.517059 189.123108 \nL 316.864506 166.656307 \nL 317.211953 178.020932 \nL 317.5594 181.441406 \nL 317.906847 165.189716 \nL 318.254294 183.191992 \nL 318.601742 190.384922 \nL 318.949189 191.850229 \nL 319.296636 169.509753 \nL 319.644083 188.881678 \nL 319.99153 157.551345 \nL 320.338977 197.014011 \nL 320.686424 158.027112 \nL 321.033871 173.266683 \nL 321.381318 176.373427 \nL 321.728765 180.926995 \nL 322.076212 171.137463 \nL 322.423659 175.572588 \nL 322.771106 163.754192 \nL 323.118553 173.878399 \nL 323.466001 173.441436 \nL 323.813448 178.670024 \nL 324.508342 171.621057 \nL 324.855789 192.343201 \nL 325.203236 188.547277 \nL 325.550683 166.934461 \nL 325.89813 172.763748 \nL 326.245577 176.35159 \nL 326.593024 174.198308 \nL 326.940471 170.739189 \nL 327.287918 179.811798 \nL 327.635365 182.200363 \nL 327.982812 93.784597 \nL 328.33026 105.790333 \nL 328.677707 91.439223 \nL 329.025154 113.142626 \nL 329.372601 84.983236 \nL 329.720048 90.723549 \nL 330.067495 92.985683 \nL 330.762389 78.600909 \nL 331.109836 85.412272 \nL 331.457283 114.954342 \nL 332.152177 102.754808 \nL 332.847072 91.408859 \nL 333.194519 104.465557 \nL 333.541966 95.336107 \nL 333.889413 105.336471 \nL 334.23686 104.172326 \nL 334.584307 112.704903 \nL 334.931754 108.089039 \nL 335.279201 112.890149 \nL 335.626648 109.428758 \nL 335.974095 88.953956 \nL 336.321542 110.044214 \nL 336.668989 73.623198 \nL 337.016436 96.159302 \nL 337.363883 99.859152 \nL 337.711331 111.149681 \nL 338.058778 95.658025 \nL 338.406225 109.389413 \nL 338.753672 102.81048 \nL 339.101119 78.323063 \nL 339.448566 106.336014 \nL 339.796013 94.17736 \nL 340.14346 113.951762 \nL 340.490907 107.779214 \nL 340.838354 89.90722 \nL 341.185801 115.359005 \nL 341.533248 90.998539 \nL 342.228143 117.061257 \nL 342.57559 105.578353 \nL 342.923037 102.918985 \nL 343.270484 107.395061 \nL 343.617931 130.85746 \nL 343.965378 123.070131 \nL 344.312825 119.044339 \nL 344.660272 118.193242 \nL 345.007719 111.980951 \nL 345.355166 117.50912 \nL 345.702613 134.076885 \nL 346.05006 117.40003 \nL 346.397507 116.03819 \nL 346.744954 117.587982 \nL 347.092402 113.26197 \nL 347.439849 116.860442 \nL 347.787296 121.790269 \nL 348.134743 128.326368 \nL 348.48219 145.81052 \nL 348.829637 125.382811 \nL 349.177084 128.790596 \nL 349.524531 129.266057 \nL 349.871978 146.362032 \nL 350.219425 145.502905 \nL 350.566872 124.684626 \nL 350.914319 137.120025 \nL 351.261766 130.880699 \nL 351.609213 138.808383 \nL 351.956661 140.001826 \nL 352.304108 131.859748 \nL 352.651555 148.068047 \nL 352.999002 142.996106 \nL 353.346449 149.990986 \nL 353.693896 150.954762 \nL 354.041343 150.920794 \nL 354.38879 146.711232 \nL 354.736237 155.201748 \nL 355.083684 138.609356 \nL 355.431131 162.04357 \nL 355.778578 156.039367 \nL 356.126025 159.935711 \nL 356.473473 141.794964 \nL 356.82092 155.976154 \nL 357.168367 148.674232 \nL 357.515814 175.914096 \nL 357.863261 159.167792 \nL 358.210708 154.065022 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220.222613 \nL 372.108591 207.853835 \nL 372.456038 219.447437 \nL 372.803485 208.272081 \nL 373.150932 213.72102 \nL 373.498379 232.430334 \nL 373.845826 201.861928 \nL 374.193273 200.276022 \nL 374.54072 226.046285 \nL 374.888167 224.667789 \nL 375.235614 218.652446 \nL 375.583062 219.058463 \nL 375.930509 216.609072 \nL 376.277956 203.556246 \nL 376.625403 226.941618 \nL 377.320297 240.981006 \nL 378.015191 228.690744 \nL 378.362638 210.622541 \nL 378.710085 143.685451 \nL 379.057532 136.147882 \nL 379.404979 138.720988 \nL 380.099874 112.711959 \nL 380.447321 144.306371 \nL 380.794768 143.971563 \nL 381.142215 128.26313 \nL 381.489662 132.08396 \nL 381.837109 120.171514 \nL 382.532003 143.067066 \nL 382.87945 133.363519 \nL 383.226897 128.107776 \nL 383.921791 134.461235 \nL 384.269238 128.77501 \nL 384.616685 127.792961 \nL 384.964133 125.67376 \nL 385.659027 141.777099 \nL 386.006474 138.61344 \nL 386.353921 127.763612 \nL 386.701368 148.675265 \nL 387.048815 136.526544 \nL 387.396262 144.440424 \nL 387.743709 140.154636 \nL 388.091156 127.341495 \nL 388.438603 138.602901 \nL 388.78605 140.151582 \nL 389.133497 154.695986 \nL 389.480945 133.05506 \nL 389.828392 134.147631 \nL 390.175839 118.565061 \nL 390.523286 144.073014 \nL 390.870733 138.69534 \nL 391.21818 138.433255 \nL 391.565627 124.799892 \nL 391.913074 142.079082 \nL 392.607968 134.925054 \nL 392.955415 139.308304 \nL 393.302862 145.871816 \nL 393.650309 139.314131 \nL 393.997756 130.292955 \nL 394.345204 151.96673 \nL 394.692651 140.059312 \nL 395.040098 148.677832 \nL 395.387545 129.189282 \nL 395.734992 157.225874 \nL 396.777333 125.501734 \nL 397.12478 142.336275 \nL 397.472227 147.406893 \nL 397.819674 122.335408 \nL 398.167121 156.65809 \nL 398.514568 164.417805 \nL 398.862015 137.257406 \nL 399.209463 146.98552 \nL 399.55691 152.356079 \nL 399.904357 134.559287 \nL 400.251804 139.365094 \nL 400.946698 155.103189 \nL 401.294145 132.942952 \nL 401.641592 135.248659 \nL 401.989039 142.983678 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "series += noise\n",
    "\n",
    "plt.figure(figsize=(10,6))\n",
    "plot_series(time, series)\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "# Done"
   ],
   "cell_type": "markdown",
   "metadata": {}
  }
 ]
}