{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook illustrates the Discrete Fourier Transformation (DFT) for different time series. \n", "\n", "The coefficients of the DFT are one of the many features in *tsfresh*.\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Some theoretical background\n", "\n", "If we see a series of length $n$ - without timestamps - we don't have any idea about the time domain: In what time was the series recorded? What is the timedelta between 2 observations? The only thing we know (or, more realistic, assume) is that the series is uniformly sampled through time. Of course, with the knowledge of the sampling frequency, one can draw conclusions about the real frequencies in the time domain. But `tsfresh` does not incorporate this information.\n", "\n", "Therefore, in Discrete Fourier Transform (DFT), \"frequencies\" are expressed in terms of \"fractions of series length\", $2\\pi k/n$, $k=0, ..., n-1$. One can read it as \"$2\\pi k$ divided on $n$ points\" or \"$k$ periods of length $2\\pi$ divided on $n$ points\" or \"$k$ cycles among $n$ points\". At \"time\" $m \\in \\lbrace0, ..., n-1\\rbrace$, the value $a_m$ is observed. \n", "\n", "The definition used in the implementation in `np.fft` is (picture from numpy docs):\n", "![Definition in implementation np.fft](https://docs.scipy.org/doc/numpy/_images/math/60627d7b56cbf58e87ccb5c3ee92a36ebccc62f5.png)\n", "\n", "with $a_m$ being the (possibly complex) value of the series at position $m$ and the series length $n$. $a_m$ is multiplied with the complex number on the angle $2\\pi k m/n$ (in rad not deg measure) on the unit circle. The following picture shows how the complex exponential function rotates among the unit circle / shows \"Euler's Theorem\" (figure taken from Wikipedia):" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![Euler's Theorem on the unit circle](https://upload.wikimedia.org/wikipedia/commons/thumb/7/71/Euler%27s_formula.svg/180px-Euler%27s_formula.svg.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting coefficients $A_k$ can be drawn on a complex pane, too (figure from Wikipedia):\n", "![The resulting FFT coefficient is complex](https://upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Complex_number_illustration_modarg.svg/220px-Complex_number_illustration_modarg.svg.png)\n", "\n", "\n", "The absolute value $r$ of the complex DFT coefficient corresponds to the amplitude of the oscillation, and the angle $\\phi$ corresponds to the phase." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is stated in [Wikipedia](https://en.wikipedia.org/wiki/Discrete_Fourier_transform#Definition) (Notation is modified):\n", "> It's amplitude and phase are \n", ">\n", "> $|A_k|$ / $n $ and $arctan(Im(A_k), Re(A_k))$\n", "\n", "Note the **normalization of the Amplitude with the series length $n$**." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pylab as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "from numpy.fft import rfft\n", "sns.set_style(\"whitegrid\")\n", "sns.set_palette('colorblind')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "def plot_x_and_rfft(x, fft_coeffs):\n", " fft = fft_coeffs\n", " plt.figure(figsize=(12, 4))\n", " \n", " plt.subplot(211)\n", " plt.title(\"Time Series\")\n", " plt.plot(x)\n", " \n", " plt.subplot(212)\n", " plt.plot(fft.real, label=\"real\", marker=\"o\")\n", " plt.plot(fft.imag, label=\"imag\", marker=\"o\")\n", " plt.plot(np.abs(fft), label=\"abs\", marker=\"o\")\n", " plt.title(\"Real, imaginary and absolute part of DFT coefficients A(k)\")\n", " plt.legend()\n", " \n", " plt.tight_layout()\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Compose a Signal With up to 14 Periods of Cos Included" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compose a series as the sum of some cosine waves with different frequencies." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dudSYCRqWS+2NpYULF3LkyBE0Gg2zZ8+mT58+AGRlZTFr1izj81JTU5k5cyaV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Ildu3aNC3FdsmQJnn322XE39l/+8pe44447EBsbi23btmHr1q349a9/jf/93/9FVlYWNmzYgDff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JSktLASgrK2PQoEE88sgjTJkyxdynfHx8eOedd6ymEzQfDwYMGGD3fnWtIuxEywg70TaE\nnei4XsJOtIywE/JB2ImWEXaibQg70XG9hJ2wjE1thHSVkZSUJM2ZM0eSJEk6c+aMdNddd9lNl927\nd0sPPfSQJEmSVFJSIt1www3SwoULpa1bt9pNpz179kiPP/54k2OLFi2SfvnlF0mSJOlf//qX9MUX\nX9hDNTNJSUnS0qVLpVmzZkmnTp2yufzq6mpp1qxZ0vPPPy+tXLlSkiTLbVRdXS1NmjRJqqiokGpr\na6Wbb75ZKi0ttZlOCxYskNavXy9JkiStWrVKev311yVJkqTY2Fir6NBWvSz1cXu3VWMWLVokHTp0\nSMrOzpbuuOMOq+hgCUvjgb371bWKsBOtI+zEpRF24vL0EnbCMsJOyAdhJ1pH2IlLI+zE5ekl7ERz\nbG0jrrrUs927dxMXFwdAjx49KC8vp6qqyi66XHfddfzf//0fAJ6entTW1qLX6+2iS2skJSUxYcIE\nAG688UZ2795tV33ef/99/vrXv9pNvqOjI//9738JDAw0H7PURocOHWLAgAF4eHjg7OzMkCFDSElJ\nsZlOS5YsIT4+HjB6r8vKyqwiu716WcLebWUiPT2dyspKu6wKWhoP7N2vrlWEnWg/wk40RdiJy9PL\nEvZuKxPCTghA2ImOIOxEU4SduDy9LGHvtjJhLzthaxtx1TmKioqK8PHxMX/29fWlsLDQLrqoVCpz\nmON3333H9ddfj0qlYtWqVdx333089dRTlJSU2FyvM2fO8Oijj3LPPffwxx9/UFtbaw4N9fPzs1t7\nARw+fJiQkBACAgIAeOedd5g5cyYvvvgiGo3GJjqo1WqcnZ2bHLPURkVFRfj6+pq/Y82+ZkknV1dX\nVCoVer2eL7/8kilTpgBQX1/P/PnzmTFjBp9++qlV9GlNL6BZH7d3W5n4/PPPmTVrlvlzUVERTzzx\nBDNmzGgSqmwNLI0H9u5X1yrCTlwaYSdaR9iJy9MLhJ2whLAT8kHYiUsj7ETrCDtxeXqBsBMXY2sb\ncVXWKGqMJEn2VoHNmzfz3Xff8cknn3D06FG8vb3p168fH330Ee+99x4vvviizXTp1q0bjz32GJMn\nTyY7O5v77ruvyaqEvdvru+++44477gDgvvvuo0+fPkRERLBkyRK++OILZs+ebVf9oOU2skfb6fV6\nFixYwIgRIxg5ciQACxYs4NZbb0WhUDBr1iyGDRvGgAEDbKbTbbfd1qyPDx48uMl37NFW9fX1JCcn\ns3TpUgC8vb158sknufXWW6msrGT69OmMGDHikqsZl0vj8WDSpEnm43LqV9cacmhjYSfajrAT7UPY\nibYj7ISgJeTQxsJOtB1hJ9qHsBNtRw52wlY24qqLKAoMDKSoqMj8uaCgwOxNtgc7duzgP//5D//9\n73/x8PBg5MiR9OvXD4Dx48dz+vRpm+oTFBTETTfdhEKhICIiAn9/f8rLy83e9fz8fKu/ALVGUlKS\neRCYOHEiERERgH3aqjGurq7N2shSX7N12z333HN07dqVxx57zHzsnnvuwc3NDVdXV0aMGGHzdrPU\nx+XQVvv27WsSIuru7s60adNwcHDA19eX6Oho0tPTrarDxeOBXPvV1Y6wE60j7ETHkOvzLOxE2xF2\nQmBC2InWEXaiY8j1eRZ2ou3Y207Y0kZcdY6i0aNHk5iYCMCxY8cIDAzE3d3dLrpUVlayfPlyPvzw\nQ3PF9scff5zs7GzAOIiZdguwFevWrePjjz8GoLCwkOLiYqZOnWpus40bNzJ27Fib6mQiPz8fNzc3\nHB0dkSSJBx54gIqKCsA+bdWYUaNGNWujgQMHcuTIESoqKqiuriYlJYVhw4bZTKd169bh4ODAE088\nYT6Wnp7O/PnzkSQJnU5HSkqKzdvNUh+3d1sBHDlyhL59+5o/79mzh9deew2AmpoaTp48Sffu3a0m\n39J4IMd+dS0g7ETrCDvRMeT4PAs70T6EnRCYEHaidYSd6BhyfJ6FnWgf9rQTtrYRV13q2ZAhQ4iK\nimLGjBkoFAqWLFliN11++eUXSktLmTdvnvnY1KlTmTdvHi4uLri6upo7lq0YP348zzzzfUDdYQAA\nIABJREFUDFu2bEGr1bJ06VL69evHwoUL+eabb+jSpQu33367TXUyUVhYaM6nVCgU3HXXXTzwwAO4\nuLgQFBTE448/bhM9jh49yuuvv05ubi5qtZrExETeeOMNFi1a1KSNHBwcmD9/PrNnz0ahUDB37lw8\nPDxsplNxcTFOTk7ce++9gLHY4tKlSwkODubOO+9EqVQyfvx4qxZas6TXrFmzmvVxZ2dnu7bVu+++\nS2FhoXlFCWDYsGGsXbuWu+++G71ez5w5cwgKCrKKTmB5PFi2bBnPP/+83frVtYqwE60j7MSlEXbi\n8vQSdsIywk7IB2EnWkfYiUsj7MTl6SXsRHNsbSMUkr2TSAUCgUAgEAgEAoFAIBAIBLLgqks9EwgE\nAoFAIBAIBAKBQCAQdAzhKBIIBAKBQCAQCAQCgUAgEADCUSQQCAQCgUAgEAgEAoFAIGhAOIoEAoFA\nIBAIBAKBQCAQCASAcBQJBAKBQCAQCAQCgUAgEAgaEI4igUAgEAgEAoFAIBAIBAIBIBxFgktw9OhR\n7r//fhISEoiPj+fuu+9m//79AGzatInnnnvOKnIXLVrEBx98YJVzZ2Zmcv/99zNp0iRuvfVWjh8/\nfsnf6HQ6li1bRkJCAjfeeCP/+9//WvxuZWUlf//735k0aRLx8fHcdNNNfPLJJ0iSdNm6GwwGYmNj\nOXDggPlYXl4effr04eDBg+Zj2dnZREdHU1NTc9kyBQKB4Gq0BQA7d+5k5MiRzWScPHmSGTNmEB8f\nz4wZMzh58mSbzpeVlcUdd9zBAw880OR4RUUFjz32GPHx8dxyyy388ssvLZ4jLS2NuXPnEhcXx8SJ\nE7n77rvZtm1bu6/NEsePH2fw4MFotVrzsbVr1zJ48GB0Op352Pfff8+MGTM6RaZAILj6udZshCRJ\n/O9//yMqKsp8nW2hJRvRmqyLETZCYCuEo0jQIpIk8eijj/Lggw+yYcMGEhMTmT17NnPnzqW2tpaJ\nEyfy2muv2VvNdvPMM88wceJENm7cyLPPPsu8efMu6cT59ttvOXToED/++CPr1q3j+++/t2gYDAYD\nDz/8MHV1dfz0008kJibyySefsH79et5+++3L1l2pVDJixAj27NljPrZnzx58fHxISkpqcmzw4MG4\nurpetkyBQHBtc7Xagp9++on33nuP/v37N/vbU089xUMPPURiYiIPP/wwzz777CXPl56eziOPPMKA\nAQOa/e2NN94gJCSExMRE/ve///Hyyy+Tn5/f7Hv5+fnMmjWLsWPHsmnTJjZt2sSiRYt47rnn2Llz\nZ8cutBH9+vXD2dmZw4cPm48lJSXh5OTEkSNHzMf27NnD6NGjL1ueQCC4+rkWbcSSJUvIyMjA19e3\nzedrzUa0JqsxwkYIbIlwFAlapLS0lMLCQgYOHGg+NmnSJH788UdcXFxYs2aN2SOek5PD7bffzvjx\n43nxxRd55JFHWLNmDQB9+vRh7dq13H777YwZM4bPPvvMfL7333+f+Ph44uLieOSRR6ioqGhVp3ff\nfZe///3vzJ07lwkTJnDnnXdSUFAAwLlz55g9e7Z5xXbt2rXNfl9VVcXhw4eZOnUqAGPHjkWtVptX\ni++//36OHTvW7He7du3illtuwcnJCQ8PD6ZOnUpiYmKz7/3+++/k5+ezdOlSnJycAAgODuatt95i\nwoQJreqp0+n429/+Rnx8PBMnTuSxxx6jqqqqmYxRo0axe/du8+c9e/Ywffr0Zo6iUaNGAXDgwAGm\nTp1KQkICN910E7t27QLgzjvvbHINmzdv5q677jL/e8qUKUyYMIE///nPlJSUAHD69Gnuvvtubr75\nZiZNmsSqVass3CWBQHA1cTXaAoDIyEg+//xzAgICmhw/deoUlZWVxMXFATBhwgSKi4tJS0sDICEh\ngaKiombnc3JyYsWKFQwaNKjZ3xITE82rr8HBwcTGxrJly5Zm3/vss88YNWoUM2bMQKFQADB48GA+\n+OADIiMjAeNL+x133EFCQgLTp083v7zn5+dz//33c9NNNxEXF8dbb73V7PwKhYKRI0c2sSFJSUlM\nmzatiQ1JSkoy25DVq1czefJkJk2axMyZM8nNzaWiooKYmBizbQB49dVXeeONN5Akiffee4/4+Hhu\nvPFGXnnlFfR6PQC//vort9xyC5MnT2bKlClNZAoEgiuTa81GANxxxx288sorODg4NPtbR2xEa7Ia\nI2yEwJYIR5GgRXx8fBgwYAD33Xcfq1evJjs7GzC+5F7M8uXLGT16NFu3buX66683OyNMnDlzhrVr\n1/LBBx/w5ptvotfrOXr0KF988QXff/89GzdupL6+vk2Ohw0bNrB48WI2b96Mn58f33//PQAvvPAC\nsbGxJCYm8uGHH/LKK6+Qk5Nj8RwGg8H8b1dXVzIzMwFYsWIFUVFRzb6vUCia/SYrK6vZ9/bu3cvo\n0aObGY6IiAhiYmJa1XPnzp3k5OSwYcMGNm7cSM+ePZukmJkYPXo0Bw8epK6uDjAO1jNnzuT48ePU\n19ebj5k8/S+++CKzZ89mw4YNzJkzhyVLlgAQHx/P1q1bzefdtGkTkydPJjs7mwULFvCvf/2LLVu2\nMHz4cJYuXQrAe++9x4wZM1i/fj1ff/01u3btMssUCARXJ1erLYiKisLR0bHZ8YyMDMLCwpocCw8P\nJz093SzX39+/2e9CQ0MJDAxsdry0tJSysjIiIiLMxyIiIszna8y+ffu44YYbmh0fMmQIXbp0obq6\nmieffJLnn3+eDRs28NBDD/HMM89gMBj47LPPuO666/jll1/46aefyM7ONk+MGjN69Gjzy3dWVhbO\nzs6MHz/efCw9PZ3q6moGDhxIcXExf//73/n000/ZuHEjERERfPDBB3h6ejJ8+PAm6Q5btmxh8uTJ\n/Pjjj2zYsIHvvvuOTZs2kZ2dzVdffQXASy+9xIcffsivv/7KkiVLmtgggUBwZXKt2QgwOmdak9se\nG3EpWY0RNkJgS4SjSNAiCoWCTz/9lIkTJ/L5558TFxfHzTffzMaNG5t9d//+/dxyyy0AxMXFNRsI\nb7vtNsA4ENbV1VFcXEx0dDTbt2/H3d0dpVLJ4MGDzcalNYYNG0ZoaCgKhYJ+/fqRl5eHVqtl165d\n/OlPfwKMg/Hw4cObpGgBuLu7M3DgQD777DMkSWLXrl2kpqaanS4tMWrUKL777jsqKiooLS1l3bp1\nFn9TXl6On59fi+dpTU9fX1/S0tLYtGkTtbW1zJs3j7FjxzY7R3h4OEFBQaSkpJCZmYmrqyvBwcH0\n7duXw4cPk5aWRn19PdHR0YAxt3jy5MkADB061NzGCQkJ/Pbbb+j1enQ6Hdu3bychIYHff/+d2NhY\nevfuDcCMGTPYunUrer0ePz8/EhMTOXbsGD4+PnzwwQdtMmwCgeDK5Wq0Ba1RW1trjgg14eTk1OGa\nbxqNBqVS2WQBwcnJidra2mbfLS8vtzjBMHH48GGCg4MZOnQoYHT4l5aWkpubi5+fHzt37mT//v04\nOjry5ptvWpyUjB49mgMHDlBbW0tSUhKxsbEMGDCAEydOUF9fz549e4iNjUWtVuPn50dycrJ5wjds\n2DDzvWm82HDs2DHUajVRUVFs27aNadOm4eHhgVqtZvr06ea+4ufnx9dff01ubi7Dhg2zWt0SgUBg\nO641G2FPhI0Q2BK1vRUQyBsPDw+eeOIJnnjiCYqKilizZg1PP/00P/74Y5PvVVRU4OXlZf4cFBTU\n7DwAKpUKMEb01NbW8tprr5k91OXl5YwbN65NOplQqVTo9XrKysqQJKnJ3zw9PZuEPJp44403WLp0\nKQkJCcTGxjJ06FA8PT1blTl9+nSysrKYPn06gYGBjBo1ypyG0BgfHx+L3nkTrekZExPD888/z8qV\nK1m4cCHjx49nyZIlrFu3zrxyMn/+fCZOnGhOPwsLC2P48OEAxMbGkpSUhLe3NyNGjECpNPqBf/rp\nJz7//HOqq6sxGAzmekzh4eGEhIRw4MABtFot3bt3JyQkhMrKSvbv309CQoJZR3d3d8rKynjmmWf4\n8MMPmTdvHnV1dTzyyCPMnDmz1bYTCARXPlejLWgJV1fXZgsBGo0GNze3Np+jMS4uLhgMBurr682O\ndY1GY7GGnI+Pj8XaRSZKSkqa2SsPDw+Ki4t54IEHMBgMvPTSSxQUFDBz5kwef/xxFi5caK43sWLF\nCoKDgwkPDyc5OZk9e/YQFxeHo6OjebGhcUSqXq/nnXfeMS8WVFdX0717d8A4yVu2bBl1dXVs3rzZ\nvCBRWVnJxx9/zDfffGM+h6mOx7///W/+/e9/M3XqVEJCQli8eDGxsbEdaleBQCAfriUbYU+EjRDY\nEuEoErTI+fPnycnJYdiwYQD4+/szZ84cNmzYQGpqapPvurm5NVltLSwsvOT5V6xYQUZGBmvWrMHN\nzY233nqr1cGvNXx8fFAqlZSXl5sNUFlZmcXonoiICD755BPz57i4OHP0TEuo1WoWLlzIwoULAWMK\nlqXfDB8+nEWLFqHRaHB2djYfz8rKYsuWLdx7772t6pmQkEBCQgJlZWUsXryYjz/+mKeeeopZs2Y1\nkWPK3T5//jw33ngjYHQUvf/++/j4+JjzhvPz83n++edZvXo1/fr1IyMjg/j4ePN54uPj2bJlC1qt\n1jyAmxxh77zzjsW2ePrpp3n66ac5fPgwDz/8MKNGjTIbBYFAcPVxtdqCloiMjGyyWi1JEpmZmfTo\n0aNDOnl7e+Pr60t2drb5HJmZmYwZM6bZd4cPH05iYiJ33HFHk+NbtmzByckJPz8/ysrKmuhmimRV\nq9XMmTOHOXPmcPbsWR5++GGGDh3K8uXLm8kZPXo0ycnJpKSk8Le//Q0w2pB9+/aRnJzMk08+CcAv\nv/zC1q1bWbVqFb6+vnz77bf89NNP5uuKiYlh9+7dbN68mX/+85+A0YaMHz++md0Co/197bXXMBgM\nrF27lvnz57Njx46ONKtAIJAJ15qNsCfCRghsiUg9E7RIXl4ec+fO5ejRo+Zjhw8f5ty5c80q9sfE\nxPDrr78CsG3btlajakwUFxcTGRmJm5sbubm5/Pbbbx0O7Ver1YwZM8bsnc7KymL//v1mh0ljHn30\nUXMR57Vr1xISEkJoaGir51+3bh1PPfUUBoOB/Px8fvjhB6ZMmdLse2PGjCEyMpIFCxaYC1GfP3+e\nefPmodPpWtXz+++/5/333weMg6upKJ0lhg8fzokTJzh48KA5oigmJobU1FQOHjxo9vSXlJTg6upK\nZGQkOp3OLLe6uhowOop2797Ntm3bzBFEY8aMYf/+/eaJ0uHDh3nllVfMbWcy+r1798bd3d1cTE8g\nEFydXK22oCV69uyJr6+v+WX3hx9+IDQ09LIc4pMnT2bFihWAsQbH3r17zRscNOb+++/nyJEjfPTR\nR+a6eMnJySxZsgRnZ2diYmIoKioy169bv349wcHBhIWF8eKLL/LHH38Axpdtf3//Fsfn0aNHs3nz\nZtzc3MwrubGxsWzYsAG1Wm22P8XFxYSGhuLr60tpaSm//vqr2X6A0YZ8++23aLVa+vbtCxiLf//4\n44/m1Lqvv/6aH374gZKSEh588EGqqqpQKpUMHDhQ2A+B4CrgWrMR9kTYCIEtERFFghYZPHgwL7/8\nMkuXLqWyshKDwYC/vz9vvfVWM8fKs88+y/z581m/fj3XX389gwYNuuTDPWPGDJ544gni4+Pp06cP\nixYt4vHHH2+yy0F7eOmll3j++edZs2YNDg4OvPLKK4SEhDT73sMPP8yLL77I8uXL6dKlSxNP+v33\n38+CBQuaFbSOi4tj48aNxMXFoVarmT9/Pl27dm12boVCwX/+8x/eeustbr/9dtRqNS4uLsycOZM7\n77yzVT0nTJjA4sWLmTRpEiqViq5du7Js2TKL1+rp6UmvXr2orq42D+COjo707NmT7OxswsPDAejb\nty/XX3898fHx+Pn5sWjRIlJSUrj33ntZs2YN3bt3x2AwEBQUZA7/DQwM5OWXX2bu3LlotVrc3NxY\nvHgxALNmzWL+/PlotVoA/vSnP9GtW7f23CaBQHCFcbXagueee44DBw5QWFiIg4MD69atY9asWcya\nNYs33niDF154gXfffRc/Pz/zSigYIz9XrVrVrE7EV199xYoVK6iqqqKqqoqEhARiYmJYvnw5Tz/9\nNIsWLWLixIk4OTnx6quvWqwz4e/vz5dffsny5cuJi4vDycmJgIAA3n77bfNq/dtvv83LL79MTU0N\nvr6+vPnmmygUCmbMmMGLL77Iyy+/jCRJjB8/npEjR1pso9jYWM6ePWve6RKME7jMzExzdCnALbfc\nwvr165k4cSLh4eHMmzePv/zlLyxbtsx8PS+99BJz5swx/yYuLo7U1FTzindERASvvvoqvr6+jB07\nlmnTpqFSqXBwcODVV19tyy0VCAQy5lq0Ebfccgs6nY78/HyeffZZnJycWL58OTExMR2yEa3Jaoyw\nEQJbopBMBUsEgstEkiTzYD9t2jT+8pe/mLcXFggEAsG1gbAFAoFAIGgJYSMEgisDkXom6BRef/11\nXnrpJQDS0tJIT08377olEAgEgmsDYQsEAoFA0BLCRggEVw4iokjQKRQUFLBgwQJyc3NRKpU8+uij\nzQqtCQQCgeDqRtgCgUAgELSEsBECwZWDcBQJBAKBQCAQCAQCgUAgEAgAkXomEAgEAoFAIBAIBAKB\nQCBoQPa7niUnJ9tbBYFAIJAtQ4cOtbcKdkfYCYFAIGiZa91OCBshEAgErWPJTsjeUQQdN3DJycmy\nM45y1AnkqZccdQJ56iVHnUCeeslRJ+iYXuLl9wLCTlgXOeoE8tRLjjqBPPWSo04gT706qpOwE0au\nJhsB8tRLjjqBPPWSo04gT73kqBPIU6/OthMi9UwgEAgEAoFAIBAIBAKBQAAIR5FAIBAIBAKBQCAQ\nCAQCgaAB4SgSCAQCgUAgEAgEAoFAIBAAwlEkEAgEAoFAIBAIBAKBQCBo4LIcRadPnyYuLo5Vq1Y1\n+9uuXbu48847ufvuu3n//ffNx//xj39w9913M2PGDA4fPnw54gUCgUAgc4SdEAgEAkFrCDshEAgE\n8qPDu57V1NTw8ssvM3LkSIt/f+WVV/j4448JCgpi1qxZxMfHU1JSQmZmJt988w1paWksXryYb775\npsPKCwQCgUC+CDshEAgEgtYQdkIgEAjkSYcjihwdHfnvf/9LYGBgs79lZ2fj5eVFSEgISqWSG264\ngd27d7N7927i4uIA6NGjB+Xl5VRVVXVc+xY4X6Gh//Jt/J6j6fRzt5Xi6nqmfbaPnenFdtMB4PC5\nCoqq6uyqA8AvJ/JZd/S8XXWYv+4Yf1qVgiRJdtNh4c/HmbEyGYPBfjr8nlbMVym5dm0HgAqNlpSc\nMru2xcn8SqZ+to/ThZ0/DgnkbSeO5lXQZ9lWTpTUd/q5W2N/dhl9l20lJafMpnKTMkvpu2wrh86V\n21Tunga5R/IqbCp319kS+i7bylEby92RXsy0nws4fr7SpnJ/Tyum3+vbOJlvW7nbzxTR7/VtnCqw\n7Ri65XQh/ZdvI9XGY/emU0a5aUXVNpV7NSNnO7HldCF3/lxAVmlNp5/7YpKzy7hnZTLF1da3SfU6\nA8dsPEbZks/2ZrMvy/o2Vqc3MOXjvfzf7+k2k/W2DWQBfLo3i/3Ztn1PsRUarZ4TNrKVW04Xcu+X\nKWi0epvI62w6HFGkVqtRqy3/vLCwEF9fX/NnX19fsrOzKS0tJSoqqsnxwsJC3N3dW5WVnJzcLt2K\na/WcLqjifY2asaH7USgU7fp9Z/DVySrWHKlgy+kCVsb708X9Qlu193o6yoGCOh7ebHRUXR/qzJs3\n+Lb6fWvopTdILN9fzvdnalApYMu0YNwd2+6f7CydDhTU8eZvxra4OaiOvr6Ol3W+juhVotHzr+35\n6CXo71LDzd1dL0uHjugkSRJTf8inWGPgP9uP8+pob1zU1i1VZkmvN/aX821qNQYJlo7w5pbIzm2L\ntuhUWW/g/sRCsir1ONVV8swwL5vq0JJeVxNythNHi+o5XVjNVycN9PO1Xbu/8EcppwprWbJ2P0tH\n+rT4vc7uCy/sLOFUoYYXf9jPiyO8O3SOjuhkkrvkh338bXjH5F4KS3o9v6NB7tp9LI61jlxLvPB7\nCZkVOpau3cvC62wn9/nfijlZUMfStft4tpWxrLP71fPbjXJfWruX+UM7NoZ2qF9tK+ZEvlHuU0Os\nM3Zb0uuFrSa5STw52PY242qzEWA7O9GRttt9toaMCh3//HkvD/T3aPfv28PLSWX8mFaDS30Fcwd5\ntuk3He0Pnx2v5L2Dldzbz40nBnl26jzpYp3K6gx8cbKKpLw6Jndz4Z6+rdvyy2VLVi0Ld5YS4+/A\nJ5MCWtSrM9iZq+Hn4yWkZBYxxq203b9vj05Hi+r5+XgRO84UMMK5BAeV9ea263/fy59/zMfXWcm3\nNwfi7WS9eYLOIPHs7yVoDTCxqwu3RrpY7I+ddf9KNHqe2FbCqVItP0wJJMyjw66QS+qlN0g8+HMB\n2VV6RnjWMiLE+bJkdYZO7eXyWucyaWtEw9ChQ9t97rszUvjyQC6lHl2Z2Cfg0j/oZBbs3Q1AeZ2B\nVw/Ws+fJ4YDx5nXkejrCD7+eBIrxcFLze66GkJ5RdPGy3EmtpddPx87z/Zk8nNRK6nQGyjzCuSE6\nuE2/7SydDAaJR/5vh/nz/hoPZk6M7vD5OqrXOzvS0Uv5AHx4TMP8KSNxc+qcR7CtOh3Jq6BYY7wf\nv+dq2F/nx7zhkZ2iQ1v10ukNrPtuA26OairrdJyqc2PJ0CFW06Elnf60KoWsSqOHf0+RgSFDhtjF\nqXyxXu39zdWOtezEEEnipf1b2ZZTS9/ogZ32LLZGpUbHb6sTAdh+rp5+Awbi6thcbmePxxUaLTu+\n3WiW+3XMIFwcVO06R0d0Kq+9IHdrbj1fxgzCuZ1yO6JXaU09f3yzCYBtuVq+GjgYRys7xMEYSbzr\nG9P1aln1kG3kFlXVsftr4/VuPadl5aDBOKiay+3sflVQWceeBrlbcrV8PnswagtyW6MjOp2v0JD0\nlUmujhWzh6BSdu7YbUmvc+Ua9n1lamc9n/658+W2V6e2/u5qpy12oiNt17VPHUv2bORguYPV391T\nt2wDYE26hrdnjsHT2aHV71/O8/zqkX1AJStPVNM9LJSXEvp06Dxt0em59Sf49Jgxo0Dl5MwbM63X\njiU19bz503YAzlQYGDTY+Ixaa47zxnHjs3WuWo9f93508237omd7ddqy9QxQRHm9xHmXUG4fENJe\nddusl843AsinRGPgswwVK/9kvXf0E/mV7Di3HYA95+uYOjqGQaFNnfCddf90egOD3/ydk6VaADRe\nYQwdHNrh811Kr9WHzpFdlQdAsWMAQ4f27rCsztKptd9ZwipvMIGBgRQVFZk/5+fnExgY2Ox4QUEB\nAQHWceI8dYNx8vvm72lWOX9rlNbU81t6MbER3sT18icpq4yCStunf+1IL0ahgL+M6grA3qz2e7sv\nl70NoZ8LbuwBwObThTbXYXNqIck55UwfGIKfqwNfHTiHTm+wuR4rk3NQKRU8PCKCcxUaVibn2FyH\nTQ3tb7oftgjNvZjj+VXU1OuZPjCEAHdHdqQX2zwNzmCQWHfsPD393Zg+MISMklqO5Nk+DHvjqQJ+\nOmbflEx7YW87oVAomDU0lFqdxI82ugdrj+ZRqzXg7+ZIVZ2edcfybSL3hyPn0eiMcis0On4+bhu5\n3x/Oo65BbrlGxy8nCmwi97vDedTrjXJLa7X8etI2clcfOodWL+HtpKS4RkviKdvI/fZQHjqDhL+b\nI4VV9eZx3tp8c/Ac+ga5BVX1bEktuvSPOoGvD57DIIG/myPnK+vYajO5uWa5ueUafkuzb2mBawF7\n2wl/dycG+DuyK6PEqilhZbVajudXoVRAuUbHh7szrSYL4EheJd4uDrg6qqxu/0wpPuHezpwurEZv\nxXID7+3MIL+yDi9nNTX1equWFajQaFnbqKTG9jPWHQ+2pV3o79aePxzINaaoezmrWZWca9WU5hP5\nxnsU7u3c5LM1SCuu4ej5SsIagiaOWDH9UpIkXt96BtP6855M28/BOwOrOIrCwsKoqqoiJycHnU7H\ntm3bGD16NKNHjyYx0biaeuzYMQIDAy+ZTtBRhoV7E+XnQOKpQmrqdVaR0RK/nChAb5C4LSqY4V2N\nqQW2rs9Qp9OzN6uMgSGeTOxtNJ577ZBrmtIw2PxlVDfcHFU2e4FtzMFcY9v/aXAodw8KJb+yzuZ6\nnCqoYn92OZN6BzB3dDejXuds2ycANp82Gpo5I7ri4aTmgI3rlcAFh+XwCB/GdPclp1xDVmmtTXXI\nKK2hul7PdeHeTG1YlbGVs6Axf/7mEIvWn7C5XDkgBzsxc0gYAKuSc61y/osxyfnk7oENn23jLDbJ\nsbnclIvkptj2ej++y/btrFDACw0pdrbrVzkoFfA/8/XaSG6KcfHjv9NjzJ9tIjfZfnLVSgUf3hlj\n/mwLFv18gk+SsmwiS27IwU6M7eKEQYINVnQ4mxbtHhnZFbVSwQ9HrPc+Ul2nI624moFdPOnp50Z6\ncY1VF+tSi6rxcFJzQw8/6nQGMkqsV+/pZEOttIeGRwCQkmO9d9w1h40LMNMHGt8ht6dZz2Gt1RvY\nebaEvoHuRAV78PPxAkprrOe4NLWbqR1PFVqvJpvpnt0aZcw2SbVi/bf0YuO5p8YY75k15+a55RqS\nc8q5qW8gkX6u7MkstXtt2I7Q4Vj7o0eP8vrrr5Obm4tarSYxMZHx48cTFhbGxIkTWbp0KfPnzwfg\npptuonv37nTv3p2oqChmzJiBQqFgyZIlnXYhlujr48CxYi2pRdUM7GK7XHLTKvFt0cHmQppHzlcy\nobftUuCSs8vR6AyM6e7LsHDjS2tSpu0dRQdyywnzcibE05lxPfxYf6KA7NJawn33KEU1AAAgAElE\nQVRcbKbDiYZBqH+wB26Oaj7YlcGujFIm9wuymQ67MkoAuC06iN4B7igV2KyQmol6nYHf0ovpH+RO\nmLcLg0M92XG2hOo6nU3SbkwkNbwQDe/qTXW9jh+OnGfH2RK6tiNk93IxRQ8NCPEgoW8gaqWCdcfO\n88JE64eFmqjQaMkt1xAdbPvUWFshdzvRJ9CdCA8Vu2200rMnq5R+Qe5MiQqmR8OLg7WRJIndmaVE\nBXswJSqY7r62k7sns5SYEE+mRAUT4ePC7gzryzUYJJKyyhgc6smUqCBCvZxtcn8NBom92WUMDfPi\n+lAnQjyd2GODKF6d3sDe7DKGhXtza1QQQR5O7M4ssbpcrd7A/uwyhkf4cFt0MP5ujja5v/U6Aym5\n5Yzu5stt0cH4ujrYpD9rtHoO5FZwfaQvt0cH4+3iYJN+VVOv4/VtZ5jUO4CBw1pPRbpSkbudGBPq\nzHuHKvn5eD4zh4ZZRYZprEjoE8ivJwvIKrPe4tmJgiokCQYEe5BTruFwXgVF1fUEuDt1uiyDQSKt\nuIaoYA/6BRprPJ0sqKKHv1unywLIKKlBrVRwS/8g/vVbOim55Va7Z3uzjffsufG92JpaxLY0Y3S8\nNUoYJOeUU1Wn58aefni7OPDaljMcOlfBuJ7+nS4LjIv8XTydzcEOtnDuTekfxPt/ZJBaZN2IIoCR\nXX346kAuR60YUZTZsAAeHeyJl7MDXx7IJbWomt4Bne/Q1uoNxH+0h3uHhhHTudn9HXcURUdHs3Ll\nyhb/ft1111ncqvKZZ57pqMh209XTeHmnCmzrKDp4rhw/Vwf6B7ljGi4O2zh6ZMdZ44vi2EjjoNI3\n0J192cYdppQ2yqk/X6Ehr6KOKf2NDpm43gGsP1HAltQiHogNt4kOAMfzK3FUKYn0dcW5oV7EGRvv\nWGLykPcNdMfFQUWknxvHrRheaYmkrFJq6vXENTgsB4d68Xt6CYfzKhjZrfVC553J3qwyXB1VRAV5\nUK8zetd3pBczy0rG3BKHGxy4MSGeeLs4MCjUk8PnKtEbJJvVnDjdsELTJ9C6hR3tyZVgJ8Lc1ezK\nq6O8VouXi/UmYmW1Wio0Oq6PNL4g9/BzY+PpQqrqdLhb0VFbUqOlul5PDz/XBrmubE4tolarb3ed\novZQWFVPrdZAD/8LcredKUaj1Xd6naLGFFTVUacz0MPPDYVCQQ8/V3acLaFeZ7BqvaC8Sg1avdQg\n13h/d2eWotMb2l23pz2cq9CgN0jm6430dWVfdpnV5eaWazBI0MPf1SjXz5UDueVWf8fILqtFkoz9\nyST3aF6l1SZoJkwT9x5+biiVCrr7unCyoMr6chsmGxE+LoBto+NthdztRA8vNR5Oaqu+s5mcncO7\n+hDh7cKOsyVo9QaLtcYuF1MURXSIh3lMTC+usYqjKLusljqdgd7+bvRteNc5kV/Fzf2ts1CbUVpD\nuLcLQ8O8USgupFBZg5wy487a3f1cGdfTn+8P55FRUkt3v85f9DSlud7Y05+Shkii3HLr7OxdotGT\nW67h5n6BdPMxXkuGFXf9O1FgnKON6+mHWqkg1YrRS+kNjqJIP1eigz3YdqbYau9gjcfuUC9nvjyQ\ny57MUqs4itKKqtl2pphIXzdienbuua1fZdGOmB1FNtw+VW+QyCippYe/8aWtV4AbjiolR87b1lG0\ns8FRNKa70QEQG+FNZZ3O7Lm1BaYBekiY0Ul3XUNk03EbRtJIksTx/Ep6B7ihVikJ83LBSa3kTLFt\nHUUmx1Qvf+MA0S/QnaLqegqrbFe7yrQVquk+DG4oFncg13Z9s6pOx9HzFQwN80KtUjI41BM3R5W5\nv9oK04vSgBDjClcPPzfq9QbOWcnwWsK0nXQfKxgNQdvp4m50WmRaOf3RtCLXrSGaspuvi23lNkTs\nmf6facUVQrjwYml60TT935or5Ua5xvM3vl5JMk5YrCq3pEGu6Xp9XdAbJHKsPKaY5fqa+pUrOoPE\nuQpry21+f7V6ibxKG8n1vSBXozOQb+U6kJaeo1qtgcIq625lfqE/2y4KW9AUhUJBqJez1Z4pU/Rl\nd19XgjyciPBxQZKs5wgwRVEMCPYksqE/mybQnY1pkbRXwAVHkbXmIRqtnryKOrr5uuDhrKaXvxsH\nciuslu6TU16Lm6MKL2c1A7sYd6mzVjSMqdbSwC6ehHm5NMi3Tv84VWIs9DwkzMs87pjsTGcjSRIn\nC6roHeCGk1pFpJ+rTVLPIn1dGRBivGfWmpOa3nUifFwY0RCZZa3o13MVRvsX2sKGVZfDteEosqFz\n5Fy5hnq9wTz4OqiU9Aty59j5SqsWcLuYkwVVBLg7mnc5izWln9mwoLXJAWFySHT3tb5n+mJyyjRU\n1enpH2R0CCiVxhXm1MJqm+aKnimqxsVBSYinccXGpI8tnWamgd50H0wOPGvmcF9MSk45BulCf1Sr\nlEQHe5BaVI3Bhs/HkbxKvJzVhHsbjWBkwwpQeontHIgmB3bvAOuEYAvaRoib0VFkzdDqxue/2GFj\ndbmllh1UGVZ3UDV3YBiP26idTdfrY2O5vjaWe7FDzsov9ma5JRc75Gwkt/Rih5xrk+NWk3txf7bB\nSrtRbtP7K7APoV7OFFXXU6fTd/q5KzQ6Smq09AsyOlIiGt5LrOXcNi2URQV7mN990qy0eGp2FPm7\n0dPfDZVSwYkC67z3mtqra8OzMjjUi7JaLWetNAbnlGsI83JGoVAQ4mF8t8+rsI7D2nTeEA9nwhqK\nPudYqX+catgRbHCoF/5ujrg4KMm00jiXW26co5n6fi9/N0pqtOaoqc4mrbgGDyc1fm6ODAg2zsOs\ntZGNqT9GeLvQv+H6rOWQzS03yhKOonYS4qrCUaU0p3jYAtNEM7JR6GFMiCe1WoPZk2ltDAaJrNJa\nujaqAxTT4O22ZVuYClkPDjXKDvZwwkmttPqLZGNMjhjTQwrQ09+Nco3OqjtYNEaSJFKLqunZEGUG\n0D/YvUE/2zkxz/4/e+8W48hxng0/3TxzyDnuzJ60J61WWmllWRZl+XNkO4ZhI4mTALmLfZH4wgjg\nIIETIAoMCEiUGxu5MAIkV/lhJBcJvsT6ksiOLcmWz4ktS5ZErVbSaqXVnmZPs3MeDs/s03/RrGYP\nh2RXV73VnNnle2OvhuRb3VXdVfXU8zxv10bm5FwOqbgeqaE1O0liSD7gTupRnESzaFpufzy4L+/1\nx/EZF6xR9RLvFZ70bMQoGmrsH3MPFJQze9bZIjZaIGG+i2FzJLK8tS352HVHxaA60gVgqO9fdr2Z\nLf+rer6b7xpXnfscDUDljWfGVIsIODky3X2foxrP3fc5GoDqSIS+jqPYHgfG3Q2YCiDgVrkDAgDw\nDrBUFfl4a6GMw1MZTGQSnleQMkbRMmMU5ZCM6zg+k8W5xYqSg9oOq9O9f/fPqducNwwLy5UW7mr3\n1X5vfKhZxy5sNjCWjCGfjnuMIlVA4vWKC4aenMtB0zQcnc4qm8fYnoCxzU60D05VyM8cx8GltZon\nW36wvQ9RZWjNnt9Dk2mMpeLIpWLes04djFF0YAQUhYuYruGePVm8t6zmpdQrOvrHDkuAyVuiKr+9\nVGmiZdneAh3oTDyq6ff+eHepgnEfa0PXNRyZyihD93uF38iaxYn2xHghIlBgqdJCpWnhHp95H2MU\nqSwD2R1X1mtIxnRvMZKI6bh/Luf5LEQR13xUTBZsARxV5bPLJROW7XjgKeBjFEUIFL23VEE2GVNy\nAjAK/jjAGEWKN7hso9kBbIaz0Twacd4OoyiqDf3WzcKRiJgf3YBc1MCJX4oFqGfYbAcgowXGuhlF\nkY3nbiZTRAAVyzeK4QQDilTIwW61D8n2tRnnbH2kQqZba5m4VW7ivvaG/MhUBpoGXFI0jv2MIsAF\nb9brBlYUHNRe6XpW9rZZPipkqWwcsDLrTC2woAgIWCg3PTBqOptAOq4rk56tNlygaF/7/h2dymK9\nbqBUN8hzMaCIGZ0zew4V8rOlSgu1luWt9xk4pcqz9upGHblUDJNt78t9+bQyoIiNx4PjI6AodNw3\nl8Nmw1SuX2fBHNWP+xhFD+6LVmbEFkyMvgq4dDRNixYour5Rx6HJzBajx6NTWaxUW6g0ozFlZPf8\n/rmtjCIAeD8i76oLXRMl0HlBRSs9q+HIVGaL0eihyQxqLQsbCiaAXsHG3yHf2Dwc0caVxeWSe62n\n9nbAQ9U6/e6wbQfnV6q4d89YZObyo+gd0UnPtgIYRyOS4g5b8naky6NIvTSpK29kUqzeDJuoJFGH\nu/NGILXTNPe0FIhQirVeg67Bk18cjYhRdGW9hpiuecB+lFK7REzzNomjGE6wflfhU7RYdkETtjE/\nrJBRtFRhudzrScVjuGsirUzx8P5yBVOZBGbGkgDgGfmqUDd0y3/n2ubciwq8QK+3pT5RMIpMy8ZS\npemBUZqm4a7JjDKgaK1hIxHTPIBDJSuXAULMguHEHnWMIs+fqE3kmEjHkYzpWFakLrm6Xsdh3x54\nXz6F5UpTiQ0Ney+NGEUCwWQdURla+x3VWbBNsSpjuu64urH1BBlw2SP782lc24imDZWmiVLD9NB2\nFlHJAFicW6wgpmsenRHoAEUXVqIBBRhQ5GcU5VJxHJ7KRAYUVZsmliqtbYaYntY5orHJxp9/XETN\nKFqqu6clflbTXZMZxHVN2alad9woNVBrWbd1xbPdEtNpHem4HokkKpuMeQvmffkUkjH1Utz59Try\nqTim2ou+/eNpxHUtEsbJRDruLTYPTqQR07UIGDZ1TGcTyKddSeFdExnoWhTMnjpmc0lkk25eBqBE\nwTjZm095FeyiAt6vrNewP59GKu7m9RhyEQByByfSXjWoKBljd02kvUpyLG8UjLFDk5nIqnGOoncc\nmHA36UoZRXn1jKKlNmgyl0t6/+3umTFcLzXI/Zds25X6+NffjDW1pAC86Wb9MUbRUpkeCLjetZad\ny6Wga2qkiUuVFhynI01keRfLTbRMmzzfesPGXC7lARwqZfKMxMHGBRsrKlg+F7v255qmYS6XVDIW\nK00T63Vjyz5jXz4F24ESNt2NUgNxXcPsWDL4wyHjzgGKlqLx5rm0WkUipuHgxFY2DxAdUDTfR9N+\naDKN66V6JKbBHVrm1jYci+i0k8XVjToOjKe8xSzgQ6wVOuv74/0eQBHgnoQubDZhWPQv+u7olgmw\nYP0T1di8tlHHXC65pTx2Z8EdDVC0XHPvt1/yFdNdHXZUPmIMuB75Ew0/NM2VxKpnJNRxdKpzusSk\nuCo3uI7j4Mp6DUenO3ljuobDiq/XcRxcWatted+4VSfTSgEqx3Ewv741bzKu46DivLbtYH69vsVw\nOBWP4cB4Wmn/WraDqxt1j1UDAJlEDHvzKaX9a1o2rm00thw8jKXimM0llV6vYdm4UWps6d98Oo7p\nbEIp4No0Ldzc3Jp3MpPARDqudFw1DAu3ys2RkfUOCLamV1EZlclRGFA0nnbHlgoFAGMUMbYN4DKq\nHYeeHbdWa8GwnC0Hg2wjq6Ja4HwX68+TnilhFLX3OG0iQEzXMJdLKWEUsd9kjCI3rxqGm+M4WG3Y\n3r0D1Mp72TjY0x4XrO9USLQ8IofvPT6XT3nPBGX4jaxZsOf7lgI/1pubDewfTylRKNz2QNE9e9wB\nEZUvzqW1Go5OZbec/kxmEsgkdNxQXK6WxdUePjCAy2wyLEfJS7M7mBs/e5mxYC+cKPrDcRwsbDY8\nbTmLuyYzSMZ0ZbrU7vAYRTNbgSLWrihkkd2VcViorp7gD8dxcK0tR/SHytOzXsEYRQe7QMzjM1ks\nVVooN9TLItn4P75ntAHYCXF0OovVmqFMEluqG9ioG9uA2qPTGSxXWqi11OTdqBvYbJjbnvujU1nc\nKjfRMOgr+ADAarWFasvaAmAA7n2+udlQcgoKuIvOumH3zHt9o64MlF9s+wJ2MzaPTmdwfaMBU1He\nhc0GDMvZPq6mMri6oe5Q6OZmA5bt9BxX8+vq8l7faMB2ts9jR6ezmF+vKfPau7bRgOOg57i6sqYu\nL5sTu8fVKKKPA+1Nugrp2a1NxqrorFUPTWaUsKyX2+v/WR+jiB0qUwNTjDmxx8dymG0DVMtVBYyi\nLtbf3pw6jyJvj+MDwfaPp7BQbpK/D5jvkV9+yg55qdfulaaFpuV49w7w+c8pOARYrjYxno57h/mJ\nmI6JdFwJ64bJBf1749mxJGotC1XitV/HyNoHFLXfIbeIWWe27e51u/c0VHHbA0XswVJlIOWPcsPE\ncqW1RXYGuCfWB8bTSk4iekV3tRkWURpaXy9tlxgB0fknAO5mxbCcbdr+mK7h7plsZEDRxdUqUu1T\nbX+wdqlYeHTH5TaSfqxrQ8GMz6KQnq1UW2iY9jagaDKTwHg6rpzC77WjbvWkaLLnNgoQk9GTu0HM\nUQwnVBtLd1em6uRVy6brn1ctOOvl7XrfHJnKwHHUzUHd/kT+vLajjjnZ8SfqzpuFaTvK3vGDxpXK\nSpKeQfr09nHVNG0lVH5ge6U1f966YSthKQDAfN/+zaDasrBWU+Px129cjSL62K/UzNp9Xvyb88NT\nGZQaJrmBcC9GEQNyqCsB9wSKFDGKDMvGzc3GlndDLhVDJqGrZRT51vUHxtOotSyUiUEHxig64GcU\nTahZu7N7FSWjqHstvmcsqQQoYr/pzzfnAZe0+XoRNtjzTY1HrLT3uv7xQRm3PVDEqF6qShb649Ia\nM8raPqkfnEhjsdKEGYHsa369jmwyhulsYst/Z54J0QBFW43eWByLyOAT6KDwvTbjd02ksV43lJ2o\n++NmqYmDE+ltlECV5Va748p675NJ1j/XI/Cu6mVkzeLwZCYy6dlSze5J0bx7mpWJVQ8gdnsSjGK4\noRrA9kw2tzEh1BrxdhtZd/Iqvl6PwdjFwFDodeD+bu/3XGR5tzFO1Boe9+9fxXn7MFRVG3j3vV7F\nPkX95k/1740Ro2inRCKmYy6XVMMoKjeQTcaQS3Uk+YcVHex2PIo6aw/mm7dKDHj2ZhSpAYpWq66P\njx/gcD1oUmoYRaU6UnHdu3eA39CaNh/7vS2MIkVrd3av/B5We8aS0LQOG40qHMfBSrXlscz8+Vaq\nLXJm1mq1BU0DprJ+oMj9/9SHG4xRtEV6poi4wt5JI0aRYIyl4sin4pFsxq96p3u9gCL3JHWlrt6P\n5up6vV3ycutGuMMoUg8KsJdXN4tmLpdEOq5HwihiDC5mQugPlWUz/WHbrtSvFyDA2hUFo6jfAvug\ndyqhHqRh4+7Q5Hbg7shUBpsKTs+6w7YdLNetni9UdjoehQSu18Q/iuEFezeqeg6Y7LhbitvJq+Yd\n0I/ZeciTnCrKy4w+u0DhQ4rN82+wA4qJ7rxq7/ONUr/rVTuu+vevGlkCi8719htXivNGPp77jKuJ\niMaVog3AKMLFgfE0bpQa5BvYW2V3jehfsx9QVGWtl5k1A3KoWRxRSs8YyDWT3cpO2ZtPYalCLwe7\nvtHAXRPpLX3GPISoiQkdj6KtZtYA/dyy1INRFNM1TKYT5EDiRt2AaTs9GUUty0alSXuQv1JtYSqT\n2GINwwBTap8iTzXgm6tUeRSxeWLEKJKIffmUEvOo7ljsMqTzB+vAlbpaBku54Tqtd1OzgWilZ/0W\ndJrmmgZHKe/xVwpgsU+hyZ0/1motWLaz5aXLQmU5ze64sl5DKq5voTYDbvW1yUwiEjPrQYyiqAyt\nV6otWE7vF6pKPXt33Co3kYhp21h/oxhOzCpaKLNY7kH3jyIv+925rvcPW6wrz5vbugBUnXe5b17F\n/VvdvvkCIuzfiMdV//EcVf8OaTznd8a4GsVw4uBEGlViaZFtO1iqtLbtGxjgQS1rZBXA/B5FLNdq\njXYcL/cAijKJGMaSMfJnhsnmZrpAh725FAzLQdmgA4oMy8ZipdnXToKeUbTdzPqgKulZDxkk4N5X\nVdLE2dx2oAhQAyZ2A4keUES87mfPkj+ft+8krsLXYRSpOXiOy3z5a1/7Gs6cOQNN0/Dkk0/ioYce\nAgAsLi7iiSee8D537do1/MVf/AUMw8Df//3f4/DhwwCAX/u1X8Mf//EfyzSBK/aPp3BhtQrTsj2T\nMxXRS9vJgnXgkmKg6GoPp3UW0XoUufI3VhrZHwcn0nh3qYKWaSMZV9cf7OE50OPh2dcGj6hNxbqj\nu5qFP5j07GZJPTCxsNnEgfHt8jfA7Y8oPIoGSs98nikPHRhX1gYGiPViFO1V9BLvFQubjW0niLdj\n7JY5QtWJKoteJ6vuv6PZ4G7PG9X1bqeUR5N3WNc7yqs0b+UOu94+eW+32C3zBFtL3ig1MJ6mOeRZ\nbR8mbgeK3N8nB4oqTeRSMWSTne2fN46JWRUdIKAb2E3SS8+8jfnWfmHrujXCvddazYDjbAes9zOr\nE2JiwkK5iVRcx5RvP6Xq3eMBRT3GIysYQLVuZWNgdqw/8H93VxEg0XAcB6vV1paKZ0AH/KeWnq3V\nXJmbfw8853kUqWIU7TCg6JVXXsH8/DyefvppXLx4EU8++SSefvppAMDevXvxr//6rwAA0zTxB3/w\nB/jUpz6FF154AZ/97Gfxla98hab1nLF/PA3HcallvUADqmAbzG4kFuh0ICvNrSqu9al4BrgPflzX\nopGelbbTMlnM+ainqjSVQAco2t+DPeK5zytmj3SAou3jbr/CKhr+cBwHS5UmHjk40fPvd02kcfZW\nGZWmiVxKCjseGIOkZwzYVFHlwx83e5gCslBZStUfbjW+Jh4+qA4Q2wmxm+YIVb4JLPqdnClnJHgL\nsWiZLuwkeVveyO5zb4YNtcdCYF7VDKoeFYyiyNvLFNTfDmpj0O68eyJmbvViRgDqn1/2u90sidsp\ndtM84feVvH9vnuQ3+60Rpz1GET3Lp3tjPjPmbmapGUX9gM7ZsRTeXNgkBR0Y22W6h/QMAFYbdHsv\n1ifdjHCVjKLug8V4uzoY9fjoR3iYziZhWA4qTQv5NM0+YbnPukgFCLbZMGHazrZ3KXsWqOestZqB\nyfRWmVsyrmMmmyDfd/aSJlKGMJ3jpZdewqc//WkAwPHjx1EqlVCpVLZ97lvf+hZ+4zd+A2NjNKig\nSERlaN0PiQU6jKJlxYwiT1/aA6yK6RoOTqSVM4qapoXlSquvrp7RqFVLfDqVArY/PKrc57tjEKMo\nn4pjLBlTPi5LDROG5Ww7/WDB+km1/OzaRh261qc/8kwnrLY/Ooyi7W2YSMeRjOnKx+VG3UDLsm97\nI+vdNEeoZgawDX037dmjWCsGTroXRx1qt9q83Qvpzn1W84wtV1rQu07xtuZVB8jFdA0TXQvoKPo3\nEdOQT/XJq1ASlY7ryCZjW/67KmaCP+9YMoZMondeFSW3Afc+51OdEs7b8iqat5YrLUxmEkgoZMIP\nO3bTPDHtsXzoxjdjte8b796Y0zOK2KFht5Qxm4wjk9Aj8SgCXGCgadJ60HgeRV252LWuNymBIjdX\nNyjlHf4SrqXd0ufNniDAdDapgHHWW96rAkzsd9ChYr7uNxZVmVmv1Yye1hL7xtPkSpa1PmOfKoRh\nwZWVFZw6dcr79/T0NJaXl5HL5bZ87j/+4z/wz//8z96/X3nlFXzxi1+EaZr4yle+ggceeCAwV7FY\nFG0misUirHIZAPCL02eBJXWMogsLKwCAa+ffxkKXxGet4mqal2qW1PUExevvuhPs5uJ1FIsr2/4+\nGbfw1koLr772GvQuJJ+qXTfa15qxqj1/09h0++PF02fhLA7uD5k2vX9zFTENuPLuW7jada1rG+6D\n9dalaygWy6F/m7ddxXNuf1SWevfHdBK4ulYhuff9fuPKptsferPc8zN6bRMA8NNX30RlHz14wXJe\nXi5hOq3jzBunt31mud0f71y+jmJx+yKRKl57173W6uI1FItL2/4+ldJwbbX3faKKSyX3WuM9+kNl\n3qgjyjkCkLt35946g1RMw9XlDSV9cHVlA9m4hrNvvrHlvzuOg6QOzC+tKxkL11Y2kEtoeLPrmXMc\nB3EdmF9cC5WH97PXVkoYT2rbnnXbcdx3co/rlQn2W9dXNzGe1PHG6de3/N2yHWgAroS8Xt64sbaJ\nyaSG11/v5C0Wi16V08u3VhXlLWOiKy8AtKx23oUVJePq5loFE0lsy9ts573UI++g4P3szfUqxhPb\nP1833U3gpZvh8vK2a2G9gvG4tu23K4ab9+LNZSX9u7BRRb4r7+00RwC7ay+xseh6a77x7gUcMxeE\nf8sfL112f7OxdmvLWpSto89fW0Cx2B94CHNN5ZYNw3KQtOrbvjeecMc55Vp0fmkdSR149603trBh\n9IZ7nT/5VRF35WjYKe9cctd2y1cvoVi/7v336rJ7ML5at8menVdvuP1RXVtEsdjxW2Xv3QsL/O+D\noM+VmjZM20GqR5+lHAMLFZP0nXBxYRW6Bsy/+xau+/axVqUEAHixeAar0zSAxBvn3XGwsXB1y3p8\n45bbZ6ffvYRTWue/y1zn2ysuUGSWt64BGu2548IN8bmj+3uO42Cl0sA9k4ltf8s6TazXDbz0ymtI\nxmjYdFcXVwEAl8+9hevt36QcE2Q6k16O8qdPn8bdd9/tvfA/+MEPYnp6Gp/85Cdx+vRpfOUrX8F3\nv/vdwN8uFApCbSoWiygUCnjbvga88QbG5u5CoXBE6Ld4ovajn2Im6+AjH350299OGRbwneexUreE\nr4cnnr75DoBNfPSD96NwdHrb34+9+SrOLN/CsZMfwB4fYszuFUXULq0CWMJDdx9EoXD/tr+/YV4F\nzpzBxP7DKBQO9f0d2TZtfu9HODARw4cf3d4fhytN4PkfwE6Ph84Rpl3fbPfH4w8/gMKRqW1/P/by\ni/j55TU89PCHpE4NB7WJ9cepowd69seHjXl84+03kZk7NLA/ZNtV+q/ncXwm17Odd5Xd/nAyE0qf\nD+fiGQAVfPLRD+BkD+r4oZ//L95aKOORRx5R5h+0cX4ZwDI+cPddKBTu83M50T8AACAASURBVP67\nyHjfTZsGlXMEID9P7P3ej1B1xH9nUNSe+yH2jid7/vbc8z9EHfqWv1G9jyvP/gD7JlI9f2v2uR+g\nrsW584RpU+U7L/TNO/PdF1BHguw++9tV+e8XsH8y3T+v1rsPZKP8re/joC+vv01T//19NPXe90I2\nNp/5Ho5OjfX87fH//h6asbSScbX5X8/jxJ7e7/Lct59HM8Z/vWHatPkfz+HUvnzPz2e+9Rxa8d59\nLxKsXY7jYOPp5/Hwwe15HcdB8pnnYcQz5P3rOA5K33wO9+6d6DmuwsRonnBDdo64lVkEXnoF47MH\nUCjcI/Rb3fGTzQsANvCRU/ei8OA+77+faBjAd74PLdN/jRp2PJxfrgC4hXsP7kWh8MEtf9v/s//B\nhdWq9Dj2t6n2/R9jNh/Do11r8JM338Gzly9i39F7e66LRSJxwV3bPV74AO6d7YCM5YkV4MWXsNag\n23udda4BWMNDJ45t21NmnnkOdoLvfcDTf5dWqwBu4dj+WRQKD2/5212vvoR311dw6qGHke5iWYpG\n9Qc/wWTKxGNd+9j7184D772HucP3oHDfLEmu/3v9LIAyfu3hUygcmvT+e2N6DfjfF5GemvP2LLJz\n1+K5RQArOHX3IRQKJ7b8Lfffz6MhOEf3aletZaL17ws4PDe57W8nzr2OVxdv4OCJB3C4R4V0kTD/\n938xlrTwfx57tG+beKLfPCG8M52bm8PKSochsbS0hNnZrYPnZz/7GT760Y96/z5+/Dg++clPAgA+\n9KEPYW1tDZalVooF+EoWKpaULJabPWVnAJBOxDCTTWCprtajqF9VEBaqPQSAjtyqV7UxwEf1U2ga\n7DgObm42+pp7zWSTiOlaBNIz9+Shn8zoQNs/S6XcqVMOtXcbGKVVZRsahoVK09rmacFiJpuApqkd\nl8BgM2vAlSQ2TRubDbqqJt3hPR+KSlnulNhNcwTgUpJVSJMcx8FytdXXkHbPWFKJZMZxHKwE5VUg\nmbFtB6s1Y2BeFffZsh2s1gZfr4q8hmVjvT74elW811rt99Tg/qXPy97lUd/natNE3bAjv95K00LL\n6p1X0zRl/Vtqe2rc7kbWu2meYGbC63U6uU8/SUw+FUdM10hlbqyyU3f1PsCVrVSaFpom3X3sN/94\nnnGEz02vKlOAz8ya1KOot/QMAKYySawTysHYb031KAzE8lOOx8VKE9Pp7dCAisp4bN3TvS9QIT3r\nVxUPcPdGS4Rzhzc+Mj3GvgJfu/Wa0XN8UIUwUPT444/jhRdeAACcPXsWc3Nz26iib731Fk6ePOn9\n+xvf+AaeffZZAMD58+cxPT2NWIwGBR0UbCOsssJVy3QXi/2AIsDdnC7XovEo6gsUKfZM8P92t+6U\nBWubStPg1WoLhuX0NffSdQ1zuaR6oGizv28V0BmbKg2t+2mOWaiYtLujMyZ6tyEe0zGTTSr3KLq5\n2UA2rvU144vC0JoZHfYDUm+X2E1zBOA+B7WWhVqLFiSstiw0zcEb3ErTQsOgnRs2295kg/K6/mW0\nhxcbDQOW7fQFhWdzKazVDJjEeddrLThO/wpRe9rlfW2brkwy0FkUBgEnvZgSMtHPIJ3FrOK83RXt\nWDDARl3eaAGqfpsZFrM5NXnvlIpnu2memFLgUbTR3uRPdfmZaJqG6WyC1INm0FqQjbPVKk2+pmmh\n3DR7PjedogZ066zVHlWmADVm1useULR9cz6VTZACN+t9xoc/PxUw1TAsbDZMTKe2QwMs1yrhu67f\nXlEFmDLofTqXS2G52iSbs9YGjA82PjfqdOvMtVqr5/igCmHp2SOPPIJTp07hc5/7HDRNw1NPPYVn\nnnkG+Xwen/nMZwAAy8vLmJmZ8b7zu7/7u/jLv/xLfPOb34RpmvjqV78qfwUcsU9RyUJ/sMVELxNp\nFnvzSby54KBhWGQ0wW3tqLSQiuvIpXr//qyv4piqCFrgsElKJSjA2GODygXuy6fw3nJVWRsAlz0y\nmUn07e8Diqok+IMxhboNDFmoNnoFfIvtPm1gf1tSDNwtVZqY6XFawsIDisrNLfRlymDvoW7zytst\ndtMcAWx9Dg4n6ar/BQHn/gpVd03SVYHsV5nKyzvWyUtZLYMHSADcxdQcoaF7v0prLGZzSdiOu/Cm\nNH3sZ8jpz2vZDjbqBqZ6nECLBg9w0rJslJsmWSlvgGM8j6XQMEuotSyMEVbR7PRvvwOPFE7f2ETd\nsLaZXcsEz30+c3MTTdPaZnYtE0Hj6naJ3TRPqGAUsQ1jT8ZIJhEJgwPYyhihqA7NAKeejCK2DyE8\nsF6ttrZVmQKAybTLVi+36Kue9dqcT2USOLdYhm070HV5+wIPKOoxPqiBS5ZrogdQ1BkfdGN/udpC\nNhlDtmu9NZlOQNeIGUXM8LnHHDw75lZ0KzXMbUCjWK7eFfiATj9uEL1DLNttt0pGkdQs/sQTT2z5\ntx/xB7BNM7xv3z6v1GWUMZNNIq5rShlFgyqesWAL59VaS1lZeFbRoJ+/SjSMosELHFUu8/5gVQcG\nyXv25dM4fWNTaVn4xUpzYHUrr0qCUkbR4LGp4nSnO/qV6fbHXC6Fd5cqMC0bcQVVXpgU5+Rk/75m\nQK9KGd6tO4RRBOyeOQLoAoqItOPs9/y/PyivCqCIJy8pUFThz0sJFIW5XkqgKEzeqIEi9jlKoChM\nXkqgiDtvpYVDU9E/R6tVAwcmogOobqfYLfPEFDGDAwDW624/99qgzowlcWG1RlZGfmkAyEt9YDho\n/KqRnvU+ANB1DRPpBMqGAulZD2nRZCYB2wHKTRMTBJt3NtZ6jQ+Wn4p1xsCLfLIHUKSo6lmvPYGu\na5ghZogGMYoAd91PARQx4I7dM39MEoPNpUZ/GSRV3L41N32h6xr25VNKGUV8QJF65sZSpdlX3gNE\n41EUtMAZa5eFV7kZD/JqAjpMM1XyM8OysVJtDQSK5hScrHRHkPQsn4ojEdMUM4oGn0ID7uLBcWhP\nLPxRbrpSnMkepyUs/IwiVcHeQ4PeFaOIPjqAKXWJYHcs8WysKWM5xIZeRd5Bkij3c7TPGO+GnhoQ\nDwOcUIZ3IDNA4qciL/d9jjqvArkCECybnlXUv3cSULRbIhWPIZuMkTOK0nG9J+t8OuuyEctNGpnK\n+gBWhQcEEI1j9n7qzSiifRc7joPVagszfeQ3k5k4yi06KSzr/57SM2LGyMYARpEnPSPO1RMoYowi\novHhOA6WK62+6wRqD8VBHkXsPlL12WAPK9pcgzysqOKOAIoAV+axsEmnQeyOxbYx8yDpmf/ES0Uw\ns8d+EiOgQ9tWCUzwLHCozcO6Y5WjDWyjfksRm8f1aeADDylR+u5YqjShab1fkICrhZ8dSyn2KGKb\nmmDQTBXTjI3LSR7pmUJ21a1yEzPZBJLxO+b1uytCOXAyQBIFKACoAiVvqoCxYQEnw9nQ80ii/O2j\nCn5gjPp6gz17/O0jyxsk8bvNAMig8TyK4cRUhtY3aKNu9GUxTHvSIlogoFe+aBlFzAKDJlelacG0\nnb5r3Ml0AhVi6VkypiOb3A7uTRGDN4OkZ9PE0jMPKEpsZ6+xe0s1FqstC40A78a1uut3SBFsPA72\nDaIGiqLLpdKj6I7ZqcyOudWMqi01ZtKLAfIeQD2jKIg5AkQkM6q2kE/FB+r153KucbEq4G7FQ4/7\nPzyqGUVBFc+ATvtUgYeAy47ZM5bcpt32hyojUBY8jKI5RRtXFh5QNIhRFIH0zD1FGS3+d1pQL15Z\nDA04GRaTicOzx/3cHcJ0Uc7c2llMl9uPuRUE9A6HuTWK4cRUht6sOBgoIgIC2jKViR7FPKgPLQeN\n31wqhpiukUn4Op4w/RhFCVRNh6yAwlrNwFQ20VMOSO1jNcjMeoocSHSZa7kejKKxZAyJmEY2PtYH\nyPcAd9w4jlukgiJWay1MZhJI9LC1YM8DHXjT36OIWnrGpKsjRhFBUNMquyOM9EwVcyPopA+ITnoW\ntLjZm0/BsByyB7M72Musn6EqoB4oCjMm1DKKWgOZboA7LjYbJmlpVH/weBTNRsQo6mXUx0K19My2\nHazV+lOkRzG8ULXRHNYGd5R3h+RVxLDZsdd7u+aNuBjECCjamTGVTaDUoGE6OE7b5L4vUNTxv6KI\nUhsI6OWdw6RFUTCKNE3DRDru+avIhicr6uPTwjbnm0QSvrVaayAoBdD5WA30KMoSexQ1GKNo+xpZ\n0zTMZJNke2jW9xOZ3j521D5WKwOliYl2m2jGB3teo5AmjqRnhOF39FcRHijAIz0bIqMoFY9hPB1X\nxtoI0p2y6MiM1LJHBm3IVfcHz0Ivm4wjHdeVtaFl2tioGwPHBEBfGrU7OiyDQdIztw3KpWcDgKKp\nTAJxXcOionFZahiwnf4ywFEML4YtiVIlmembVxG7dNgMqqiZH8FVwIbLZCKXng1d4hc1U42PmUfd\nv0HXO4rhxHQmAccBCchRbbmSqX6MohkPCKBjFLnMkO1rIOo14CAmDOBuzsk25p558GCgiGJzbtsO\n1usGpvv02e3hUdRbfTAzliTzEGV932/sU/aZ62Fl9H2Hk8vB6v2BS2pG0Zrnl6VunrhjgCLVG2Em\nPZvL9+8s5UBRma+c6uxYknxTwqLStNCy+utOWagGBVg/D9qQz3hjQk1/DNIW+2PPWFIZgMn6eZBv\nFaBus9ppRwsxXRt4L1Qt9FnwAEW6rmEul1LGKBpUonMUw43bDjgJUX2MNO8d5tnDgIR+c82w+leV\nV9Agrwd/e1QAY5qGvpXjGHtYxXiO6Rom+1SOU3mf47qG8R4yoVEML9j4o2CMDAIBAJ/0jBAImOgz\njmeI31MMCOiXbyIdJ9uYe+v9vowiOmlRuWnCdvpvzFVIzwaZnQMKPIp6SM8A9+B9o26QSPhYrv7j\ng47lw/al/eZoT3pGxHBbG8ACY7JLckbRyKNIPqhfgt3hlqAd7MujGijiqfQFuCeBK9WWEn8gHvkb\nEI1x8Xg63vPkhMUMMW2zO5jelwcoUjUmGOARVIZatdH6csWlfeoDfJIiM7MeABQB7sJfVX/wmKyP\nYjgxnU1C09Rs+HSt/3tA1dzENpq9/CgAtZKZZExHLtV7LlQpxUrHexuMAmqvdywZQ6bHQl513vF0\nvK8pficvPfDZz+tha176653OJPp67anMO2juUpl3z1iSpCz6KOiCEggYZC4NqDErnuwj9RlLxhAn\n3MCWBvghAW3foJZFAjp4jKJ+7KU0Y4zIgw5B5sEqzKz75cokYkjFdXK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/XOg3e0Xy0hkA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iTyK7/F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\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Q9rsQyxYgy2otldFUnvvgkb3bjBSmqqvY3lSuBp1IF2wXG2aozGqgVRSp12JjbudUgWv7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\nV5qiqI5KNVNb1fE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 200 # no of samples\n", "m = np.linspace(0, 1, n, endpoint=False) # the results differ with the defaul endpoint=True\n", "x = np.zeros(n)\n", "plt.figure(figsize=(20,20))\n", "for i in range(15):\n", " plt.subplot(5, 3, i+1)\n", " # the results differ with the defaul endpoint=True\n", " cos_wave = np.cos(np.linspace(0, i*2*np.pi, n, endpoint=False))\n", " plt.title(\"Signal no {}: {} Cos-Waves\".format(i,i))\n", " plt.plot(cos_wave)\n", " x = x + cos_wave\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The analytical solution of the DFT is:\n", "\n", "- Amplitude (i.e. absolute value) is 1 for the first 15 coefficients\n", "- angle, i.e. phase, should be 0 deg for the first 15 coefficients" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No \t Abs.Value \t Abs.Value/N \t angle in deg\n", "0 \t 200.000000 \t 1.000000 \t 0.00\n", "1 \t 100.000000 \t 0.500000 \t 0.00\n", "2 \t 100.000000 \t 0.500000 \t -0.00\n", "3 \t 100.000000 \t 0.500000 \t -0.00\n", "4 \t 100.000000 \t 0.500000 \t 0.00\n", "5 \t 100.000000 \t 0.500000 \t -0.00\n", "6 \t 100.000000 \t 0.500000 \t -0.00\n", "7 \t 100.000000 \t 0.500000 \t -0.00\n", "8 \t 100.000000 \t 0.500000 \t 0.00\n", "9 \t 100.000000 \t 0.500000 \t -0.00\n", "10 \t 100.000000 \t 0.500000 \t -0.00\n", "11 \t 100.000000 \t 0.500000 \t -0.00\n", "12 \t 100.000000 \t 0.500000 \t -0.00\n", "13 \t 100.000000 \t 0.500000 \t 0.00\n", "14 \t 100.000000 \t 0.500000 \t -0.00\n", "15 \t 0.000000 \t 0.000000 \t -50.74\n", "16 \t 0.000000 \t 0.000000 \t -120.06\n", "17 \t 0.000000 \t 0.000000 \t -47.79\n", "18 \t 0.000000 \t 0.000000 \t -57.17\n", "19 \t 0.000000 \t 0.000000 \t -4.00\n" ] } ], "source": [ "fft_coeffs = rfft(x)\n", "amp_deg = tuple(zip(range(20), np.abs(fft_coeffs)[:20], np.angle(fft_coeffs, deg=True)[:20]))\n", "print(\"No \\t Abs.Value \\t Abs.Value/N \\t angle in deg\")\n", "for no, amp, deg in amp_deg:\n", " print(\"{:d} \\t {:f} \\t {:f} \\t {:4.2f}\".format(no, amp, amp / n, deg))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you use `np.linspace` with `endpoint=True` in the signal generation, you won't get the correct results.\n", "\n", "The amplitude for the 0th Fourier coefficient - which corresponds to the constant 1 - is correct. But obviously, all the other amplitudes are wrong. Moreover, they are consistently half of the correct amplitude. Why is this the case?\n", "\n", "I won't go into detail here, but it is because the [output of the DFT - in case of a real valued elements $a_m$ - is symmetric](https://en.wikipedia.org/wiki/Discrete_Fourier_transform#The_real-input_DFT). This means that an investigated \"frequency\" is splitted among two values of $k$, and so is the amplitude (not for $k=0$)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Use Normalization to get Amplitude Information" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a difference in the implementations in `np.fft` and `scipy.fftpack`: NumPy provides the normalization flag, whereas `fftpack` does not.\n", "But be aware: **The normalization does not yield true amplitudes**, because the normalization is done by $1 / \\sqrt{n}$. Correct amplitudes can be calculated by multiplication with $1/n$. However, this normalization is sufficient to compare timeseries with different length." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unnormalized\n" ] }, { "data": { "image/png": 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G7Mr688XYDg7c3suFXt7WXTim2mDi7UNl/Dep/gbi7GBnFvZ1xbEJ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\nEerlSp72D0nbl/jH2x5WPNS5TlP2NcZMUh1Pu5IHWttUkGF7m6GYe/u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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Normalized with 1 / sqrt(N)\n" ] }, { "data": { "image/png": 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2d9MywFvNbSPDGNPNu8kuQNILK1h3JJt1R7LZmJxTp3usq1ZDqK8z7Vy1+LnY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\nkhKoVKomfaGxsbFR/yyXy2FtbQ0AkMlkkMvlqK6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rKyuDpaUlAMDJyQnZ2dmP3FBCQoKe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\nvaY41hgzmeJYY8xkimONMZMpjjXGTKY41hgzmeJYY8zEfWH6Y6VWXz2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Unnormalized\")\n", "plot_x_and_rfft(x, rfft(x))\n", "print(\"Normalized with 1 / sqrt(N)\")\n", "plot_x_and_rfft(x, rfft(x, norm=\"ortho\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For correct resampling via `irfft` to the time domain, the normalization flag in `rfft` and `irfft` must be equal (None or \"ortho\")." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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FFwBw/vnns2nTpg6f2bRpE1OmTAEgISGB2tpaGhrcY5tGg8YAgM1mUzkTIYQQ7qiypZGD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\nrLs+sSAYqrAtPxCTfZ2s+fNqFXHKLZBBQh+mj+2hp+gaTyT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, '--')\n", "plt.plot(np.fft.irfft(rfft(x, norm=\"ortho\"), norm=\"ortho\"), ':')\n", "plt.legend(['raw', 'resampled'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Resampling With Coefficients k>=10 Rejected" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens if one tries to resample the signal from the first 10 coefficients only and discard the rest? How does the plot look like?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 14.14213562 +0.00000000e+00j, 7.07106781 +1.93774590e-15j,\n", " 7.07106781 -1.72812614e-15j, 7.07106781 -5.70583545e-15j,\n", " 7.07106781 +4.21786636e-15j, 7.07106781 -3.98762969e-15j,\n", " 7.07106781 -1.21015308e-14j, 7.07106781 -6.01337816e-15j,\n", " 7.07106781 +6.47656704e-15j, 7.07106781 -5.10788198e-15j,\n", " 0.00000000 +0.00000000e+00j, 0.00000000 +0.00000000e+00j,\n", " 0.00000000 +0.00000000e+00j, 0.00000000 +0.00000000e+00j,\n", " 0.00000000 +0.00000000e+00j])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fft_coeffs = rfft(x, norm=\"ortho\")\n", "trunc_fft_coeffs = np.ones(len(fft_coeffs)) * 0+0j\n", "trunc_fft_coeffs[0:10] = fft_coeffs[0:10]\n", "trunc_fft_coeffs[0:15] # the remaining entries are zero" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CiPNJTkUZCkrd4Fzdaypjzj7IvfmFuaYQSVhAoKx1FkKI80jNMqoI92M1mbME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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.fft.irfft(fft_coeffs, norm=\"ortho\")) # plot resampled with all coefficients\n", "plt.plot(np.fft.irfft(trunc_fft_coeffs, norm=\"ortho\")) # plot resampled with truncated coefficients\n", "plt.legend([\"not truncated\", \"truncated\"])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see an information loss without these coefficients." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# What about a non-integer amount of cycles?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Truncate the time series from above. The number of cycles is not integer any more." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y = x[0:-50] # length is now 150, some periods are not integer any more" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unnormalized\n" ] }, { "data": { "image/png": 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bb686v62Tl7rYOqbSKgOC526GWinH2VmRNrkSkFeux5BPduF4TjlmR7fH3BGd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\nMOvmXr8rgoEtgq3LFlXVzc3sG2l9/4wGRTfzxmUZgDfXx+sWok2DvBl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Tdu6aR4M6B4bj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Normalized with 1 / sqrt(N)\n" ] }, { "data": { "image/png": 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L3uEQEREREVEja1BBFRMTg71792LixIl47LHHMGfOnCt292vpJvcMhlwm4d970uwdChER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\ntjul4CvsiKEQQgghHOu2KKgW7ojNdwPYPXHJtu1bOalet24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XwxAALFZVNzO5e0S+989o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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Unnormalized\")\n", "plot_x_and_rfft(y, rfft(y))\n", "print(\"Normalized with 1 / sqrt(N)\")\n", "plot_x_and_rfft(y, rfft(y, norm=\"ortho\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "About the first 11 coefficients seem to be important. Plot the inverted coefficients / resampled signal." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hLEN6ztX49lQ6j2yMIadYFr8QQgjR+KQ4V+PDC7/yaeZ3HL2eaukoQgghrJAU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\n1M7LlU8GTiXA0ZV//3KtTv/eoxNyGBP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(y, '--')\n", "plt.plot(np.fft.irfft(rfft(y, norm=\"ortho\"), norm=\"ortho\"), ':')\n", "plt.legend([\"raw\", \"resampled\"])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We do not have an analytical description of the signal any more, but it seems that it is perfectly described by the DFT coefficients, as it can be resampled without an error." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Signal Corrupted With Noise" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "noise = np.random.normal(loc=0.0, scale=1, size=200)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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giBjk1i4wlSVaqnMmCIIg4pDEWUPiXBAqTDoM+chyJgiCIGLE3NqFl8bCj6AAVBi18AYj\n8IdoZSqCIAhCgNzaBSbWX5usZ4IgCEKAibOBLOfCQLXOBEEQRCJkORcYWtOZIAiCSIRKqQpMBdU6\nEwRBEAlQE5ICQ13CCIIgiETIrV1gLAYNAGDMT+JMEARBCPjD5NYuKGadIM7uIJVSEQRBEAJkOReY\nUtFydvnDBR4JQRAEUSxQE5ICU6oXxTlA4kwQBEEIkOVcYMw64cS7gyTOBEEQhEAx9dbW5PvFP/zh\nD3j++eelvw8dOoQDBw5Ify9ZsgQrV66U/v7Nb34DtbrwBwyQW5sgCIIYTzGVUuUtzp/61KfwqU99\nCgCwZ88evPzyy3Hvm81mPPPMMxMb3STBEsJcAUoIIwiCIAQuuCYkP/3pT/GlL31JiU1NCTqNCjq1\nitzaBEEQhEQxxZw5nuf5iWygra0Nzz33HH7wgx/Evb5ixQqsX78ePT092LhxI/7+7/8+7XbsdvtE\nhpEz1/yxDxV6Ff7wUduU7pcgCIIoTm7f7sDx4RBaN9dP2T5bWlqSvp63W5uxbds2fPzjHx/3+r33\n3oubbroJHMfhtttuw6pVq7Bs2bK8BpkPdrs97fbKX3kNoQiv6D4ni0zHcj5Bx1Kc0LEUJ3QsU4vq\nzbdh0mXWBaWOJZ1ROmG39u7du7FixYpxr99yyy0oKSmByWTCpZdeivb29onuSlHMOg01ISEIgiAk\nfKFIUbi0gQmKc39/P0pKSqDT6eJeP336NO6++27wPI9wOIz9+/dj3rx5Exqo0pTqNXAFwpigV58g\nCIK4QCgmcZ6QW9vhcKCiokL6+5e//CVWr16NFStWoLa2Fp/85CehUqmwfv16LF++fMKDVZJSvQaR\nKA9/OFo0PwZBEARROHyhiFRqW2gmNIqlS5fiV7/6lfT3P/3TP0n///rXvz6RTU86Zr3YiCQQJnEm\nCIIg4CsiY63wldYFglp4EgRBEAye5wW3tqY4ZLE4RlEASJwJgiAIRjASBc8XR40zMI3F2SyKs5u6\nhBEEQUx7iqk7GDCNxZksZ4IgCIJRTN3BgGksziwhjMSZIAiCKKZFL4BpLM6lklubxJkgCGK64ye3\ndnFAbm2CIAiCQW7tIsFM4kwQBEGIkFu7SCilbG2CIAhChLK1iwRyaxMEQRAMcmsXCfL2nQRBEMT0\nhsS5SCDLmSAIgmDE3NrFIYvFMYoCQOJMEARBMHxhspyLAr1GBbWKo4QwgiAIgtzaxQLHcSjVa8hy\nJgiCICRxNtCqVIWnVK8mcSYIgiColKqYMOs1lK1NEARBkFu7mBDc2hRzJgiCmO5Qh7AiolSvQTAS\nRTAcLfRQCIIgiAJCbu0iwqwTG5EEybVNEAQxnSG3dhFRahBrnf0kzgRBENMZcmsXEdSIhCAIggDI\nci4qzDpxZaogJYURBEFMZ3yhKDhOaFBVDBTHKAoEubUJgiAIQLCcDRoVOI4r9FAAAJp8v7h79258\n5Stfwbx58wAA8+fPx7e//W3p/V27duFHP/oR1Go1rrzyStxxxx0TH63CkFubIAiCAAB/OFo0Lm1g\nAuIMAJdccgkef/zxpO99//vfx1NPPYWamhrcdttt2LhxI+bOnTuR3SkOZWsTBEEQAOAJhmEqInGe\nFLd2V1cXrFYr6urqoFKpcNVVV6G1tXUydjUhJMuZ3NoEQRDTmjF/GFajttDDkJiQOJ88eRJf/OIX\nccstt2Dnzp3S6w6HAxUVFdLfFRUVcDgcE9nVpFBuEn6IIV+owCMhCIIgCgXP8xjzhyWDrRjIeySz\nZ8/GnXfeieuvvx5dXV347Gc/ix07dkCn0+U9GLvdnvd389meY0gQ5cOnu2G3uxTdt9IofW4KCR1L\ncULHUpzQsUw+/jCPcJQHAt6sxzjZx5K3ONfU1OCGG24AADQ2NqKqqgr9/f2YOXMmbDYbnE6n9Nn+\n/n7YbLaM22xpacl3OOOw2+0Zt1cz4gNeeQ2cyarovpUmm2M5X6BjKU7oWIoTOpapYcAVANCLBltF\nVmNU6ljSCXzebu3nn38eTz31FADBjT04OIiamhoAQENDA9xuN7q7uxEOh/Hmm29i3bp1+e5q0qg2\nC1b+gDtY4JEQBEEQhWJMrNixGC4At/b69etxzz334PXXX0coFML999+Pv/71rygtLcW1116L+++/\nH3fffTcA4IYbbkBTU5Nig1YKvUYNi0EDhydQ6KEQBEEQBWLML4Q4LwhxNpvNeOKJJ1K+v3r1amzd\nujXfzU8Z1SU6OMhyJgiCmLaMiRU7Fv0Fkq19IVBt1sPpCSIa5Qs9FIIgCKIASOJcRJbztBdnm1mH\ncJTHiJ/KqQiCIKYjxRhznvbiXF2iBwBybRMEQUxTYm5tEueigWVsO9yUFEYQBDEdYQlhpWQ5Fw+S\nOHvIciYIgpiOSG5tspyLB5tZcGsPkOVMEAQxLXFJCWGUrV00VJcwtzZZzgRBENMRSggrQsitTRAE\nMb2hUqoihLm1yXImCIKYnjBxLqZVqaa9OMf6a1PMmSAIYjoyFgjBqFVBqy4eSSyekRQIvUaNUr2G\nLOc86B7x4Vh/cS+1SRAEkYkxf7ioksEAEmcAgvVMi1/kzue3fogrf7YLPE+tTwmCOH8Z84eLqowK\nIHEGIMSdnZ4giUyOdI/64HAH4RIzHQmCIM5HxgLhompAApA4AxDKqUIRHqN+EplccAcjACiZjiCI\n85dwJApvMEKWczFCSWH54RYtZipDI/LFH4ogFIkWehjENIYZGcVURgWQOAOgxS/yxR0QLuoBF01q\niNzheR7LHn0b//i/HxZ6KMQ0hvXVLjZxLq7RFAhbKS1+kSvBcBRB0eIhy5nIhzF/GCedHph16kIP\nhZjGxFakomztokNq4UkikzXuYCw+T5MaIh+c4v02RgmFRAEpxu5gAIkzAKCauoTljFv2QB24wM9b\nKBLFv714FOt/vgvBMMVHlYKJ86gvVOCRENOZYuyrDZBbGwBgFX+UMcrWzhoWbwYwKTXi4UgUmiLo\n1tPvCuDTv9uHd04PAQBODXqwqKa0wKO6MJDE2R8Gz/PgOK7AIyKmIzG3dnHJYeGffkUA6wwzFlB+\nBj/kDcJ5Abp9493aylrOezqHofvXF/HmSaei282Hb7x4FO+cHkKlSbhGescuvN+yUDBxDkd5+EKR\nDJ8mCIFIVNl+FMWaEEbijMmznEORKC57/D38zc9bFd1uMSC3nJUuQdvTOQKeB3Z3DCu63Xw4NegB\nxwH3b1wAAOgd8xd4RBcOTlmOB/UYILKh3eFG2bdexp8P9iq2TebWLqZFLwASZwCxGZPSD4jn9vfg\nuMODo/0uhC+wWk55zFlpy7lfLM0qhlj2oCeIcqMWDVYDAKCPysYUI06cKe5c1Hx+6wf47vbjhR4G\nDve54A5EcKBnVLFtxhLCKFu76DDrmOWs3AMiHIniwddOAACi/IX3UI9zayvc+rRPEufCnzOnJ4hK\nkw51FkGcyXJWDrKcJ8ah3jHc+NQeDHkndxIbifL4zd4u/M7ePan7yQYmpEp6OV0XYkLYD3/4Q9jt\ndoTDYXzhC1/AddddJ723fv161NbWQq0WahgfffRR1NTUTGy0k4RKxaFUr1H0B9/6wTmccHqgUXEI\nR3n0jPrRUGZUbPuFRt5POxCOwhVQblUXZjn3F3hCw/M8Br0hNFeWoM4iZPRfaJOsQhIvzmQ558rv\nD/Tgr0f68dbJQXxied2k7WfEF0KUB3pG/QVP3GPPHSUnc8VaSpX3aN5//32cOHECW7duxfDwMD7+\n8Y/HiTMAPPnkkygpKZnwIKcCi0GjaL3lj945DY2Kw52Xz8Z/vnMG3aM+rEG5YttPhss/dc3bWcy5\n3KjFsC8EhzuonDi7i8OtPeoPIxLlUVmiQ02pIM6UEKYcZDlPjM4RHwBgeJJDAqyPQSAcxaAniCqx\n9LQQMHFW0st5wWVrr169Gj/+8Y8BABaLBT6fD5HI+ZtxaTEoazmfcHiwpLYUl82uACDMOieT3R3D\nsPy/l7Htw3OTuh8GiznPqTQBEFzbfz7Yi6+/cGTCLu7+LNzaezqH4ZrkB/qgKB5VJTroNWpUmLTo\ndZFbWyko5jwxOodFcfZO7rmT/049BQ7rxMRZQcs5cIFla6vVaphMwoN527ZtuPLKKyUXNuO+++7D\nLbfcgkcffbTol2O0KOjWDoQjcAXCqC7RYYYYq5xscd7XNQIA+PWerkndD4M1i2fiPOAK4P7t7Xj0\nrVPSQyMfeJ6XXMcOTxDRJGUT7Q431vz4PTz61qm895MN7KHEyqhqS/XoI8s5a1z+MJY/+hae3tOZ\n9H2ynCdGzHKeXA9TnDhP8nMsE2xCrrRbW63iYNQWVxvZCU8VXnvtNWzbtg2//vWv417/8pe/jCuu\nuAJWqxV33HEHtm/fjo985CNpt2W32yc6nPy3F/QhGImidc8+6NQTi6kMeAXhUgc9GOoSksIOnjkH\nuz1/0cp0LPbjYwCAV9sH8HbrXph1k5vrd6ZbmAwYgy4AwFsfHsfBXmEMz+88gMvqDanHmuZY3MEo\nAmIXrkiUx5ute1FmiL9pdp0THhB7T3TBXu3O/yAy8H6PsJ/AiAN2ux1mBDHsC2HXnn3Qi9eI0tds\nIVH6WA45gzjY68JzrcexXO2Iey8S5THkDULFCQmTx850wl46oti+L/TfJRLl0SVOgk90noPd7p20\n/e876ZH+v7PtOGq8+SeGTfR3OXtOKK8cGHUr9hv3D7tQogH279+f0/cm+xqbkDi/++67eOKJJ/Cr\nX/0KpaXxXZNuvvlm6f9XXnkl2tvbM4pzS0vLRIYTh91uz2l7Mw/tw+6+XsxdvExq55kvH/SMAujH\n/Jm1uO6yxeCefxFetSnv48vmWCLtBwC4EY4CPfo63LqyIa99ZYvx+H4AXly2pAm/O3oQH4xpwWzc\nsKUWLS3NSb+X6VjaHW4AfdLfdc2LsLg2/to6wncBGAJvMCt6zSTC9rN8fhNaWmZh/vH92NPfgxlz\nF2NWhSnna6yYmYxj6T7UB8AJf5Jrf9ATRJTvxewKI84O+WAqr0ZLy1JF9jsdfpfuER8ivFDrqzGX\no6Vl5aSNYcfICQBC6ZLGWoOWlgV5bUeJ30V3cC8AH4JQK/Ybh15+DWUl2py2p9Q1lk7g8zavXC4X\nfvjDH+IXv/gFysrKxr33+c9/HsGg4A7Zu3cv5s2bl++upgSLgo1IWN1vtVkHnUYFm1k/6e4g+fb/\ndLAvzSeVgSWENVUIbm3W3hIAjg7kb82yeLNKdF4kizuzRDHnJC9UEnNrCwuj1JaK5VSUsZ0VfWJ8\nPln5GTu3zZVCwuhkxZx9oQhazw5l/uB5hjx0xNzaB7pHMeO7r6Lt3Jii+yoqt/YkZGv7QhGYisyl\nDUzAcn7ppZcwPDyMr371q9Jra9aswYIFC3DttdfiyiuvxKZNm6DX67F48eKMVnOhiTUimfhDwilL\nJAKAGVYDjva7JrUMoWfUj0qTFlUlOrx8bADeYBgm3eQlOLCEMCbOrKWeigOOTUCcWbx5blUJ2h2e\npOVUjkkQ5x+9fQpdIz489rGY9TYoJtqw35GVU11otc4jvhA+cASgtK3J4vPJys9YBnBzpQmvn5i8\nmPMDr7bj4ddP4t07LsPlcyonZR+FgMWbgVhC2FunnDg35sfOs0NYXm9RbF/xCWH5h+aUwCUaBd5g\nRLH++75QBEZt8bX8yPvpvWnTJmzatCnl+5/73Ofwuc99Lt/NTzlsLU9FLGdxIQi2FOUMiwH7u0cx\n4guhXLTClKZn1I+mChNuWGTDD944iR3HHbh52eTVProCYejUKtRbYrHlRTVmhCI8jvZP3HJeVmdB\nu8OTtJyKnV8lxflnO8/i9JAXP/zoYmjFG16ynEuY5Xxh1jp/b0c7HntnEGsvdo0LIUwEdp48wci4\nMj92bucwy3mS6pyfP9wv/XtBiXOc5SycO7bkrdLZ22wyrFOr0D1SHJYz+78Sz1N/KAqDpvgs5+Kb\nLhQIJd3aySxnAOieJJeQyx+GKxDGDKsBVzULD6BDfa5J2RfDHYzArFejRK+BSSdc2OtmV2ChzQyn\nJ//FPpg4L68TZv7p3NruQAR+BRZM4HlebLCAuGzswYTf8ULtEvah6Abd3alsL3P5eUosQWP3SJ1F\nD5NOPSkVgAkWAAAgAElEQVSWc9ewD4fF++DlYwOKb7+QMMuZ4wTPBwAMuIRzOqJwiMDpCUKvUaG5\nylQ0bm1AGW9LOBJFOMrDUISWc/GNqEBI4qxAI5JYzFmwtJg494z64fKHMaCw5dUz6pP2U25UzgOQ\nDncgDLNYtM88BJfNLscimxlA/nFn1oBkeZ1gwSUTZ4fsNSWs52FfCH4xQ7x7NGaRsG1XiKVUdReo\n5Swk4QEHepSNVcrPU2IJmnwCazVoJiXmvP24IMhqFYdDfS4puzluHO4AvritTfF7Us4nf7sPt//+\ngKLbZJbzvKoSDPtC4Hle8iiNKOyFcHqCqC7RocFqwLAvVNAVxOS9DZR4xrH7vtjKqAASZwnWHUYZ\nt7YozqJoNViFtp09o3587Ok9WP4fbyu6EAabzc6wGhSNnafDHQhLq7jYxEnIuqYKLKoRxTlP1zZ7\niC8TLedkMWe5q1sJcZa76uTejUFvEFaDRnJz10qW84Ujzt5gWDrm/d3KlTIB8eKc6G2IF2dtzlZQ\nvyuAQ73pJxOvHBfKt/557Szx7/HW8+/s3fhFawd+f6Anp/1ni9MdwB/bevGSwpZ754gPZr0acypN\nCEV4eIMR6b5Q3K3tCaCqRIcZsudYIeB5Ps5yVqJLGPO8GTTFJ4XFN6ICEXNrK5cQxiwuZjnvOO7A\nmycH0e8KTCijORHWtWeG1QCr2EJzsps6uIMRmEV39paWBtyyYgbmVZVgUY1g8R4dyM+t3u8OQKdW\noanCBI2KSxtzBpQR5x6ZtdwtS7QZ9ISkeDMgLC1q0KiycmvzPI9TTk/GzxWak85YfeyHvWNJm77k\ng7yZDDA+w32c5ewP5dSo6Ct/OYS1P3kvZVgjFIni1XYHmipM+PIVTQCSu7btXUKJkDzBSkneOyNk\nig+maKiTL53DPswqN6HcKFyfQgtd0XJW0AvhD0XgDkREcRbDc5N0rjIRCAsuaIYSzzhmOVPMuYhh\nfaGVcWsHUGHSSpmE7KL+Q1ustSbr6KUEcsvZOgWWcygiNAphbu1/uaIJz922EhzHSW7tfDO2+10B\n2Mw6qFQcqs26cW5tn/iwYCgjzv5x/+d5Hk5PUIo3AwDHcai16LNyaz9/uB9zH34Db5505jQWfyiC\nv/3VbvzvB1PThvWEU/idVJwQwz85qMyEYsQXQiAclbqrpXdraxGK8NKDMhu6R3xwByIYSmEl7u4Y\nxpg/jI8srMa8ajOaK014rd2JUILHap/oLZhIV7t0sBLDKA/FVo9y+cMY9oXQWGaUwljDvlDMclZQ\nnAe9sd+pwTo13Q5T4Up4NpNbe5pgVTghTP5QZ+LM84BGLODd16XceqRycTbp1FCruEmNOXvE1p3M\ncpZjNWpRZ9Hn5dbmeR79rgBqxZKlGrN+nOXMrAPmhlLErT063q3tCUYQjESlGmdGXakB/a5ARivo\nhEMQucM5Jubt6RzBS0cH8B9vT25rUka7OM4Wm3Cc+7tTX5c8z+PMYHadqNgEZsUMK4DkCWFatbAa\nnNUoTihzEBVWUpNKiP5HnNx8ZIENAHD9QhtcgTB2d8SS3sb8Ien4OyZNnAel/zsUqi5gVn5juRHl\nsskPEy8lLWd5/syMIhFnvXjvs57YE4HFzykhrIhRKlYbjQrLDFbLxNli0KBEFLIvrZsNrZqDXcH4\nniTOFgM4joNFr5lUtzarcTanWMVlka0UHcM+dAzl1lJwzB+GPxxFjRjDtpn1cAXCcQkoTKwXiha6\n0pYzc9nFyqjiV9qqs+gRjvIZ98seJLmuSf3BOUEc93WNYFjhdXqHvEEp+YvBJhHXzhLiiekWsX/5\n2ADmPPQ6/nKwN+O+xolzkphzVYkOHMflFYph64knO0cHnUH8fNdZzK0qwXULqgEAa2YJK8J9KGvQ\nIT/WyXBrj/lDcftQan3yzmHhvmosM6JMPHcnZCEUJS1nuYdDEucCVSuwe4qNY9SngOUcYm7t4pPC\n4htRgZDc2hMUtWFfCJEoP84dylxCd6ybjWV1Fnxwbmyciy1fekb90GtUUnzUahyf/frOqUG0PPYO\nfqSARebKIM6fWTkDAPCJ3+6DN5j9+WSZ2mx5RlupcDzyTFpmOS8WY9uJIhnJI67HxLnMqJUs58Qy\nKgYrpzqX4QHFzlGua1J/IGZMR3ngjRxd4pn4520HseJH78QJWrvDDRUHrG8Qjiud5XxKjE//MRtx\nFt3YTZUmWA2acaEAuXcpn1AMmyAmClEgHMH33h9BlAd+vekiGER35VKxflteYmgXj5XjhN9JibI8\nOa1nhxHlhesKiFmhEyWZ5XxcNuka8eUWv09HvDgLE7hCxZzZs5mJsxIhSH+YWc7k1i5aShXK1mYX\nc2J/7vs3LsC/f3Qx5lebsarBikA4mrPLMxU9o37Ui1YzAFgN2rgL94dvnMTVP9+F/d2juPv5I/jh\nGycntD8W803m1gaAv79kJv5hTSP2d4/iH/63LeP22s6N4Zqft+IXrR0AYuLMLGi5a5v9f3GtYDnL\nH3iDniBmPvAqvv7CkZyOp3vUB4tBg4U2M3pG/YjKLONEt3ZDljXrMcs5twfyh7IM5FfblRXnnWeH\n4A1GsKcz5rU54fSgqcKEMoMazZUmHOgZTflg94gTrVfbnRnd+qx1Z22pHrWl+rgMd38oglF/OCbO\nonjlYgm5Uojzg6+dwJmxMO5cNxtXyJqOLLSZoeISxFkMLV0mWtVK9yFgLu0bF9cAUM6tzaoLGmSl\nk3KPSJQfH5/NF7k4V5fooFVzcZ6mjiHvOG/MZMGOiVW/KBG6Y165YuwQVnwjKhBqFYcSnXrCszFm\n2VWb4x/qm1fMwD1XC4tBtDQIvciVSAoLR6Loc/ml2SQguNFdgTCiUR4He8fwry8eRZ3FgOc+sxIN\nVgP+9cWjeNae/coyoUg0rvSLuRRTWc4cx+G/PrEUq2eW4fcHenA6Q5LRK8cG8MZJJ3709mkAsU5c\nNkmc5ZZzarf2z3adRe9YANvackum6hkVzt8MqwHhKA+HJxiXCCNnZll21kM+bu1QJIpDvS5cXG+B\nxaDBq+2OzF/KEqc7ID1Ud4viPComEc2rFrp0rWywYtAbQleKY/OKD7J+VwAH+9KXMTExri3Vo85i\ngNMTRFBMvmECucgmWLO5Ws6RKA+f6I6Ulw0dH3DjkTdOocakxsN/uyjuOwatGnOrSnC4zyVNPuzd\nI7AYNFg/rwoAcg7DZOKd00NQccDNS2sBKGc5M5G3mfWS5cxi5wyl4s7ydQJUKg4NViPOyuLzf/fb\nfVj12Ls4p9DE5vV2B8q/9UrSMjlXouWsSCkVZWufF1gME1/TObE7WDJWzRTicPY0LsRs6XcHEOUR\nJ85Wgxa8OHtmiS5fvrwJt6ycgRc+fwkA4KWj2dddXv2zXfjoU3ukv5lLsTSFOAOAXqPGDYuEZJzT\nGZKImPWzprEMGhWHtbMqAMTEWe4aZmI3w2qE1aCRzrcvFMFP3jsDADg75EvacCIZvpCQ8TvDYohZ\nxSM+DHqEMVUm/I4NZcJnUgkYIx/L+diAG8FIFKtmluHq5kqcHvRmnNhkizzW+r6YFMXilPOrhYnO\n6pnCpLH1rPD+K8cG0PC9VyXRYomAgFAWmA7mxq6zGKRQAPvt2KS0pUG4D3KNOXtkoRJ27fA8jzv+\ndBDBSBT3tFiSThyX1pZi2BdC71gALn8Y7U4PVs6wYna50B9eybgzz/Owd49gSW0pmquE7TsUijnH\nvHM6yXI+K/5GM8XrU6m4c+LzrLnShH5XAO5AGJEoj4O9LrgCYdyTo7cqFe+eGcKILyS1XZUTs5zF\nmLOipVTFJ4XFN6ICYtFrJjwbS2xAkoyltRbo1CqpjGMiyDO1GXJLxOmOv7kWiBZntmUdoUgUrR3D\neOf0oGRxSG5tffrZ5qxywcrMVKbCZvm/3nQxQv/+UaxuFERidoXwfbkrUn5+q0p00sPjt3u74HAH\npcUp3j0Ty5JNBzt/DWVGyV3WPepPOcmSfyYdbJKXS8z5AzF56OJ6C66dLyQyKWU9f5AgzjzPS+7I\neVWC5Xyl6AZ+W3THPrW7Ez2jfuwXx5WbOAvnp0Z0awMxa5pVKqwSJwO5Ws5yly0ToT982IvXTzhx\nwyIb/qYh+VriS2uFxjaH+sZE970wQWjM8jrNBYc7CF8oiubKElSXCMevlFvb6QmC44AKk06KZ7Mo\nA5toKWU5J94Hc8Vr5fSgF90jPgRFj9rvD/TkXDaYDDaBS9ZKlv3u9ZLlrKRbmyznosZi0E6J5azT\nqLC8vhQfnhubcKcwZhknWs6AcPEmjseoVcOgUaWsD02ke8SPKA/4QlHJGpLc2hlWvWoUXcCZylTY\nA5Y9aBiXziqHQaPC6ydiNz27eW1mvSTOkSiP/3j7NHRqFZ74u+UAgHdPZ7dMoLz1KbOKu0d8kls7\nMeYca8SQXcw5Mds8HUxAL55hxbVilvGbJ7ObZCQjGI5KXg5mOa+aacWwL4QTTo+UqT1f5tYu0anx\nzukhRKK8dN6ZKDOLtapEh3fPDKVN9utzBWA1aGDUqset5mXvHoFBo8JisZtcrjFneZ07c2uzUMaj\nNy5OufLbEllS2GsnhMnFJY3lkjgrWU7FrPBZ5Ubp3lMqW9vhDqDCqIVaxUmWM4P9liMKZDIDsYY/\nMctZ2P6pQQ9Oip6Xv11kA8cBX/3L4Qnvj01md3eOjMt9YOVz5UYtTDq1IqVUsYSw4pPC4htRAbEa\nNPCHo1JsLB8S+2qnorHMiFCEz1okk+ENhnHf9uMAgLViUgsgLwsbL86AMOPO1nI+OxxzSbOOV5lK\nqRizKrJzF7JZPoufMQxaNS5vqkBb75h00zrcQhN+s16NqhIdgpEoXj/hwEmnB7esqMf1i2ww6dR4\n90y24hzzPMgXKEk1yTJo1ag267J2awtjzu6hzAR0eZ0F86pKUG7UTigv4ZZn7Vjy72/BF4rgw3Nj\nMOnU+MzKBgCC6/r5I4LrkMV+tWoVLptdjsN9Luw4PiBNmtjvzUT6piU1CISjcWt4J9LnCkgWM3Nr\n94kZ0Yf6XLh4hlVq0pOr5exOYjn3jgWg4mKWYzJYxnbbuTE8vacLpXoN/naRTcojUNKt3SHeN7PK\njdBpVLAaNIrFnOWZ7qV6jbT2ORA7fqVaeDo98S1smYv+pNMjNazZdHE9rl9oQ1vvGPomWGbFwkD9\nrsA4T4ZLFk6z6DUpJ3OvtTuyXpyGYs7nCUq08ExcLjIVLJY5OIFa1nv/ehRH+934l8ubsHZ2hfR6\nnFubiYxZLs7arCcF8qYTp8T/u9M0IZHDYkMdw5ljzjq1Kmnch7l33xCtuAG30EGM4zjpAfWMmNx2\n89JaaNUqrJ0lCMxgFm5EeeYrc1mfdHrQ2jEMnVo1rs4ZEJLCukd9cTP7SJTHh+diOQRyce53ZR4H\nz/P4oGcUc6tKUGrQgOM4tDRYcWrQm7WL8ns72vHQayek7b15chCdwz78bl8XjvS7sLzOgstmC5O4\nb79yDPu7R3HrihmYKVqOQMy1/R1x0gfELFWP+C/7TQ6m6G0dikThcAelXuQxt7Yfbb1jCEd5rBLj\nzUDuMec4t7Y39jCvNuuhVqVeL31edQm0ag7/++E5dI/6ccuKepToBeveZtYp6tZmVjizym1mvSJu\nbamPgjj5V6k4yeOkVXNSKEmpxS8SGyoxt/apQa/keZlbVYI1jcJ1NdE8Grl3YXdn/MRULs5WgyZp\n8m7PqA/X/fJ9fG9He1b7o2zt8wQlWnhm49YGYu7SbAQkGe+dHsRPd57FktpSPPLR+MxUuZvQmeCW\nAgRxHvGHsqoJjrOcxZkyy5rMZDkbtGrUluqzijmXm7RJ3ZEb5guZtCz26vAEpQcTO6Y/HeyDRsVJ\nWbdXNAkTlZ1ZWM/yvuT1VmG7fzzYi85hH75yRRP0SWbUDVYDfKEoxoKx83f/9uO4+D/egV20dOWr\n52TjzuwZ9WPQG8LF9RbpNZbVn672mPG7fV24b/txfHdHO0KRKHrHApJV+a2XjyMc5XFRvQUX11uh\n16jQNeKHSaced+0wcZZ3sGNhDG8oAo6LPaBTdYpix1uXYDmfHfaNizcDeVjOstg3O0a5pZ4KrVqF\nBdVmKdP7H9bMkt5rLDeic8SnWH0wE+dZYrJZtVkIwUy0vza7b+X3MxNnm1kfa+eZZvLtdAdQc992\nPLHrbNp9jflDcLiDcV7AOaI37JQz5taeW1UiJfdNXJyDkidgT0Lcmd1TpXqNGIIcf4znRgPC0q9Z\n5npICWEUcy5ulFjT2eEOwqhVoSSDcEninKf7ic0q77tu/rhkBmmFrYBgOas4SJ2EAMGtzfPZPQzP\nDsWElTWhyFRKJaex3IiuEX/ah9KwL4QyQ/JtXVxvRaVJi9dOOOAJhOENRmATvQDsoeENRnB5U4U0\nuWL1rfLWiamIubWN0GsEC4oXs9+/fe38pN9hFna/l1mUYfx051kAwOkhL8KRaFyf6GzEmbmvWUct\nAGiRsvrTu7aPD7jxpT8eBAAEI1Ec6XdJVi3HxSaMF9dboNOopH1885q5aCgzxm3rksYyqT0isyZi\nbu0wSnTqjG0cWeIXq1efW2VCvcWAZ+3d+M3eLgDx4sx+t+xjzvFubU9AWM88kzgDMdf28jqLVDUB\nCCIaCEdzrktPBctwZ5ZsdYkOkSg/zqINRaL40h/b8Le/2p3VxMDhHj/5Z4JcXRJLEEtnObf1ujDg\nDuKpPZ1p9/XrPV0IR3l8dLFNeq1Er0FtqR6nBr04OeiF1aBBVYlOJs75h2EC4QhGfCGsnlkGFZfG\ncjZoYDFo4AtFxzVyYuG6bJ/h1CHsPEGJZSMT3UCpYO7SfC1ndhEmeyDFW85BVJYINYoMtlpWNq7t\ns8NeqDihJziznDM1IZEzq9yIYCQqdf9KhOd50XJOfs5UKg7XzKtG14gfb54SxJZlv8rP80cWxh4g\na8Rs72zWJ+4e8UGr5mLLe4pi9aOblqA0xYSBlasMiOL8233dkgU35A2O6wGc7IE/6Anio7/ajdaz\ngnW/RxTnSxpjopWNNRKN8vjMf++HJxjBRxYK7mZ716iU4f6FS2PW4UWiVX73VXPwmZUzcPdVzeO2\nZ9CqpfN3nei+dksJYRGU6DSwie7j1OIsvF4vWsx6jRrP3LoCEZ7H3q4RmHRqqU4dEBIkjVoVhn3Z\n3Qtx4uwNSddWNuLMzsHn18yM89Sw5EWlXNudIz4YtSrpGmUTSXnc2ReK4O9+sw8/39WBl44OZOXW\nl5dRMcpztJzZ77OvazTlOtaRKI8fv3saRq0KX1w7O+69uVUl6Bj24qTTg7lVJeKCMELOxkTWDGDn\nZk5lCZbWWmDvHokTX6kzoU6dci0EFibMNlmMJYRRtnaRI1nOebq1h71BdI74MEfMaExHzHLO7oEU\njfJxyRZMDBKzNYHxMefEyUKFuO9sksLODHrRUGbE7AoTTg/FW86pxEtOpoxtbzCCUIRHmTH1tphr\n+0ax1ppZzvHiXC39v0QvzOYztdgEBEu3scwoTV7+3zXzcP918/Gpi+pSfocJeL83gmiUx3++c1p6\nb8gbkh4iTaILMFk51TP2brx4dACPvyvUZu8VrQS5RdlUYUK5UZtWnH9/oAd2MXb8vY0LAQD7e0Yl\ny/nLVzRhUY0ZOrVKWiP7kxfV49nPrEzpyrtenOjcskJowypPCCsRF1apK9Wn7LHMznu9rIJg/bwq\nfGP9XADAinrLuNhwg9UYV5527wtHcNf/HZL+/kXrWXxXjIPLY87+cFTy7tSWJi+hkvPPl83GE59c\nhn++bHbc61I51YgyjUg6xCUd2QSAianci3Lnnw7ihSP90rnIJnGQfSbOchYn29VmmeWcJk9B3q0t\nVaneXw714uyQD59bNXNcrX9zpQlRXljCkYU4AGEyeW7Mn3UyViKxSgwd1swqgy8Uxb/+9Sh+2doB\nXygCVyAMo1YFjVqVst0yMziyNbB8tJ7z+cFEE8LePDkIngeuEWOf6ZASwjzZ7evpvV2o/96rUstP\nNjNOzHAGYgk2w74QhnyhJOKcneUcDEfRM+ZHU4UJzZUmONxBuPzhWLZ2hlIqIBZzS9V9ibnf2Lq0\nyfjURfXYdHE9blhkwyeX1+H21TMBxB5QdRY9ltdZ4r5TbzFkXD3H4Q7A4Q5KfboB4BPL63DfxgUp\ny3GAWKJbvzeCl48N4ITTI7lLBXEWbnj24Erm1t72oVD689oJJyJRwaKcX10SV07GcRxWNlhx0ulJ\numJTMBzFt185Dp1ahQdvWIhldaVQqzjs7xYsZ71GhXlVJXjh/7sEr3/x0qzCEABw9980o+2eq6RF\nI+TibBIFfYbVgHOjycMV50aF42WWM+O7Gxfga1fNwbeShAtmlRvhcAfhDYbB8zx+tussfvzuGfSM\n+uANhnH380fwwGsnwPO8ZMmz5SjZ8qQ1pZk9VlajFl9YO1vKPmawiVRip618cAfCGPKGJJc2EGuo\nI7ec3zk9hEqTFl++XFhvOhuXujNJHwW55Vyq14Dj0jchka8Q9srx5M2IWLe+r145Z9x7zTJBnhcn\nzsLEMpu485Pvd8DyzZcTGgwJx1ZTqsc1c4Vn6GPvnMYXtrXhN3u74AqEpcZHqRYqYp7IrN3aFHM+\nP7DoJ7b4Baud3JCNOIsPlmwt571dI+B54Ei/KM7izVeRxB3MLtyOYR94fnxyWkyc0++7a0T4/uxy\nI+ZUiokggx64AxFo1Rx0Wcw2YxZJcsuZTTLSWc5lRi3+Z0sLXvyHNfjD51ZhqSjEs8qNUKs43Ly0\ndpyYzrAa4AqEpSSS7ccG8MvWDhzqHZMEhS1ruagmdflNMljpzYA3IvUDv3+jIDhyt3azeM4Sxbln\n1IedYhcupyeIbR+ew6g/HOfSZjDX9v4kq0X9orUDZ4a8+NK6WZhdYYJBq8aSmlJ8cG4UR/pdWGQz\nQ6NWobmqBJfL+kxnQita2SXi5Ete58xWV5O3Ok1Espwt8W5mrVqF/7hpSVwIgsEmcZ3DPjg9QXiC\nEfC80Fzkr0cG4AlGEInyGJVNDtnvwO6JbCznVLDzvCchzsnzPJ61d+dUIhRLBouJMxNTVs0RjfLo\nEr1srL4+K8s5ScIpm9CxFptlBm1WlrNRq8L2445xE6xhbxC7zg7j6rmVUtMiOXNlnsFEyxmAlBSZ\njj2dI3AFwnFtOuU9DD59cT3a7rkKz966AgCw6+xQnDincmsPicedrfeTxZzJrV3kTDQh7LV2J0r1\nGqkNYjpyLaVi5UhsZjjkDUGvUSW9qNiFy+qSU7u101vOZ0Rrd3aFSWo+cKTfhVODnqTu9GTMytDg\nYSSNez4TDWVG7L/rSvz7RxePe69etnpUJMrj47/Ziy9sa8OyR9/GJ36zFwBwdEB4qMst52xgCVFH\nh0J46dgAWhqsuFqc6Q95Q9KEoNqsg8WgGVdK9eeDfQBitekPvS4sRJLsumHWyCvHBvDOqUGpdIjn\neTzy5kmU6jX4f9fMk33eCl8oCl8oiqV1uR1XIjqNCjq1Cu5gBKFIFKEILwk2W6GINXGR05vErZ2J\nWRWx60Te7vV/DvTg9wd6pL+dntjkh0382CSr1pI55pyKhjIj6i0G7O4cjkvMeunoALY8dwD//lZ2\nq7nxPC+rcTZJrzO3NrOcHZ4gAuEoGsuNsh7y2VvOVSWxY5VbzoAg1mktZ/H3+cSyOjjcwXETP1Yy\nuSzBG8Vgtc5AouWcfcY2u+/luSjMimalksvqLLhlxQyUGbV4v0MQc/aMlgypBBFmz0evOJnLBLm1\nzxOsE4g5dwx5ccLpwdVzK6XmCulgN1S2CWEsUYXdnMO+UEpBY/GYM2Isbpw4G7Nza7N+vbPLTZIV\n+P3XTmDAHcRnV83MatyZWiPGYueZXZLJWF5vSZoZzwT03Jgf50b98IWiWDHDglnlRrx0bAC+UARH\n8rScDVqhAcqpUaG/8O2rZ8Jq0ILj4i3nUr2QPJVoOW9r6wXHAT/9xDIAQJtoPVzSWI5E2APvh2+e\nwlU/24Xb/+cDAMJDvmfUj6vnVqJKVuqyUlY/vKw2+cM1F8x6NdxiljyAOMsZSJ6xfW5MKNNK13s9\nEXluAhNnTszYffForM/yoCcoJSQyy5lNsrJJCEvHmlll6B0LxB3TH9uE5TGZ6zwVkSiP5Y++hX/6\nQ1sKyzm+hae8SUmiVZ0O+UIUjCvmVKLarJNq2MtN6S3nPlcAlSYtbloiLMjxyrF41zY7/6xsKpHm\nFJazlBSWRca2JM5J3No22fWsUnG4ZGYZTjoFj904t3bCccqfadmszEUdws4TYiUducecWavDDfOq\nM3xSQKNWocyozaqUSpiNJ4izN5g03gzEVthifW/zTQhjq880VRqlONPRfjf0GhW+dtX4WFQyyo1a\nmPVqdAz7EI5E0euJv2HYTZrOrZ0PrGa5Z9QveQA+stCGjy+rRSjCY2/nCI72x6+OlAssY1unVuGW\nFTOgFt2JQ96Q5HkRxFkHh6y+td8VwLunB7FudgVWNFixTLRuNSoursaZMafShG9tmIfbV89EpUkr\nLVpxWBw7a0nJWCkrxZqo5QwI5XLuYFhybWcnzoG4JUyzIeZh8Uq/1yeWCUl5oQgviZHTE5QSEpk4\nJ5Zu5csloueC9XUORaL4v8OCl4PV9Kai3eHGwV4XntrTKSVZNcrFmSWEiWLEJquNZflazrF7el1T\nBQa+uxGLRA9QmUELj+jtSEbvmB91FoMk5olL17LFVuSxZTkVJi3KjFqU6jXjVt9bVlcqLSySDpZr\nEr8cbMytLedSWffDcW7tRMtZ9kzLJnfIH46C44T7uNgovhEVkIlka78minM2yWCMSpM2K8t5LMhL\nD8dBr/CgH/aFJAs4GVZZXXO+CWGsO9jsclPcLPrzlzRKjSUywXEcGsuMODPkxbW/eB83/d9A3MNA\nspxTTDTyRXJrj/olS6CpwoR1Yie1nWeHcKTfjQarIaus80RYrfNNS2qkEAXrvCa3nGtK9YiIvxcg\nLFFbVlkAACAASURBVDoR5SGt2MUmc8vrLUmTUjiOwwPXL8TTmy/G5U0VGHAH0e8KSOdwSYJL/qJ6\ni9TEYWmtAuKsU8MdiEh9tWNu7eTiHI5EMeAOjIs3Z0JKHJRZzndfNQdatXAw/7imEYBw/bMHf6Os\nRlurHt9nOlfWiCKwu0Ow/N4+NSjdI2eGvGndpKxRDM/Hwhazkogzs5xZDkZjuXGcyzsdTk8QBo1K\nmiQlg91Lyaxnn7iWdp1FWJCE4zCuqoFVZaSynDmOw3c3zsd3N84fNwFjv0mm9rYs1yTZinO2BMFf\nMysW7km0nFNlayd7Lxm+UAQGjSqnieRUkbc4P/TQQ9i0aRM2b96Mtra2uPd27dqFT37yk9i0aRN+\n+tOfTniQU8VEYs5vnnSizqLPyUVaWaLDoDeYsflAryfWEYnF3KI8UtYGA4BVZonmbzl7oVZxmGE1\noESvQZ1FD42Kw71Xj6+PTceschNcgTDeOjUIHsALojUCxBr0y5ukKIEkHmMxy7mpwoR1Yvewl48N\noGfUn3O8mcES5P7+kph7v8Ik/J6Jbm0g9hBiDyCW8c0yotckSQZLZLloWbedG5OSoBLHX6LXYMUM\nK2pL9ZJlORFKdBq4AzLLWZ/ecu53Cx2aEjO1M9FQZoCKE8V5SLDcVsyw4lsb5uOrVzZJ8fhBTxDu\noJCQKLeUBaGZ2AN2VUMZOC5Wc85c2o3lQh/8dILD4rascYtaxcWdA71GDYusv7bcck5WZpUKhyeA\nqhJd2mNl91IycWbx5jqLARq1CjazPq60Coi5tdmqcMn48hVzcFeSOvls+5QnizkPuIMo0anHhanW\nyMI9bCLN8hkSrX65sZPNc9wfihZlX20gT3Hes2cPOjo6sHXrVjz44IN48MEH497//ve/j5/85Cf4\n/e9/j507d+LkyZOKDHayKc2zCYnLH0afK4CL6i05PSAqTTqEInzcKjvJ6PPGxuP0BNPWODPSWc5m\nvRoaFZfWpc7zPE4PejGzzCDF0J/4u+V49tYV0oIW2bLAJrjHPreqARyAV2TLDbLGE5NpOcvFuc5i\nQFOFSVq1Ktd4M+Mb6+fi4XXlUk0wIFjOgXCs4QpzawOxB2/iwigbF1TjV5++CN/akLwbmRxWLtbW\nO4bDfS5wHLAwyfj/fPtqvHPHZYpYA2a9Gv5wVLonpFIqS3JxZmVU2XpWGFq1CvUWg+TWnmE1wKBV\n4zvXzcdjH1sqeSecniDcgTDMOk3c9T+RTG1GqUGDxTWl2NclNL/486E+VJXosKVFWCwknWt7f/co\nOA5SrXmD1TAu96TGrEeP2JNdbjknCnc6smlyxO6lZElhTIjrxPNVV6ofZzmfGvSgzqKHKYtSyUSY\nKz/dRIbneYwkWVK13xUY59IGBCOGxbbZM3p5nQUNVgP+eqRfct8ndmDLxgPqD0eLMlMbyFOcW1tb\nsWHDBgBAc3MzRkdH4XYLCRNdXV2wWq2oq6uDSqXCVVddhdbWVuVGPIlo1UKnolyXImMXYq6WitQl\nLIMF2yeznAc9IcklVJFG0Cz61JYzx3GiCzaIYDiKtY+/hx+8fiLuM8cG3OhzBaRsYQC4aWktNomN\nKXLhO9fOxxv/vBZPb74Yiyq02HlmSHJNSpbzBF2SibAuVudEy1nFxR4c65piM/F8LedaiwHXzjLG\nCSDzSLCa7lLDeMs5cWEUjuPw+TWNWWU2S5Zz7xiO9Lsxp8KU9MEys9yIeWlWZ8oFVsvOJhfMnVoi\nLj6Q2IjkXEJ3sFyYVW5Ez6gfncM+yTPBqJKqG4SwgVmvjpvQTTQZjLGmsQyeYAQbf/k++l0B3Ly0\nFguqY8skJiMa5bG/ZxTzq0pwx+WzMa+qRAqfyLmo3oJBbwidwz50Dvtg0MQ6iCVLHEzEH4rAHYiM\ni/MmwvI30lnOLLO93mqAJxiR7sdQJIrOYV9c0lcuzMyi05pHlknNjpnneWlRm2RcKrq2mThznFBC\nOewL4R2xc+CILwS5EzJrt3YRJoMBQF5ZOE6nE0uWLJH+rqiogMPhgNlshsPhQEVFRdx7XV1dWW3X\nbrfnMxxFt2dSAwMj7py+23pOuODV3uGcvhdxC66w9+wfYrAi9Q3HxFnFAQNjPrz/obBuqm/EmXJ/\nUX/M3dN14giGz8ZfgCZVFANjPmx7aw/e7xiGy+3GtWWxmsPfHBa+v7zEp8jvYgGwf38HLq3T48hQ\nCE9u342rGgw40ytYsB3tRzCsU/YmqTJwOOMYQyTKo8akRtsHBwAADarYQ1Y90gO7Pf9F4uXnJuwW\n3KFHzwkPi7PtR+EZEh6Q+46exNxoH46JCV19Z47DPpDb7ReJ8tCrObxy+BycvigWl6kUvWeSbSvo\nEa6JvUcE79fQQC/sduHaqNQDnYPx98r7J4RzGxg6B7s9tz7LpbywdjgAWPj4627IL9wDJ7r7MeIN\notKgQsfx2PrB6oAr7vP5npcaXhj/mycHsaxSi4/XBdDvFFY923n4NFbpxvdr73aFMeYPY22NFkfa\nPsDvrrFAo4qOG0O9eN39z9v7cdrhgs3IYf/+/QAAE4I44w5h7759UCV4PNh2WC93VcCT9vhcYiMV\n++F2VLrjn727jwtGlM95Dnb7MLRB4e8drXbMtmjQ7RJCZlbkd9+PuQRB/OBUN+z28ZMZu90uHQcA\n9I35sW/fPrhDPEIRHrpI8v3WQdjWqKMPdrsw5iV6Qdh/8UYbylxl6BwT9q1TAcEocPD4STRHetOO\n1+0PQm/I7z5SWq8SUSRFVqmVXFpaWhTZDiCcuHy2V7HjDbgC4Zy+eyDUAWAIly5uRktLdiVGALBo\nqB04fhy2xma0LBjfmIHR++6rAICFNjOO9LthrWsEMIglzY1oaUmeNT371IdAZye0ag5Xrlk1zsVZ\nv+s9dHYMI2iZAcCBfj8Xd8x37nwPahWHO29Yk7TRSb6sHdiFXx9241TYgq+1LAN27wLgx5VrVqVd\n7i8fZr/3Luzdo4jwPK6aUykdn75+DD/Y+zYA4OYrV41rT5gtidfYQscx4MQJOPzCcVy2agXK+13A\ne7ugsdrQ0rIIkX2tAHxYv3ZVXu605TvfxV4xJnrZgga0tCzK8I38joXRePpDoKMThvIaAKNYOGc2\nWlqEft3N+1pxut2JRcsuklygfxk4BmAU6y5ahJa52SdHAsCK/qN4pUOs+Z43Ey0tC6T3wpEo8KcX\nEdWVwB8JospqxhVrVkH1x78iygNLm2agpWVh2mPJhlkLAjjmb8PGBdX4xzWzoFJxQob1qzvgUpfG\nbffcqB9VJTqcPtwHYAAbljWhpSV1Poa7zInHP2hFZ9SK4cAwWhqrpO01fbgHbc5+NC9eHne/yY/l\nQPcogH4saKxFS8vSlPtp53qAffthrWlAS8vsuPf+2H8UwJjw+zRXYrnjGP7v1AlUzmxGy9wqDB13\nABgYd/6zZWk4ArzwEjxq07jfgB2L0HhEKI8LRYG5Sy4SLeg+LGioQUvLReO227QoiEH1Edx13Xw0\nismDF0Wi+GbrDuwaiGLFipUIdY0AGMDsyhK0OzyoqJ2R9vcAgPC2l1BWWpLz9TKRayxxO6nIy1Sx\n2WxwOmPWxsDAAKqrq5O+19/fD5sttfAUG1Zj8nVC09GZr1tbWjYyvRu9zxuBTq2SXLBsHdV0oslK\nDVIlj1SYdIjywLtnBEvA6QlKpQd9Y37s7hzG5U0VigozACyr0qFUr8F2sW3gsDcEq0GjuDADgssu\nHOXB84hzky6uKUW5UYvaUn3ewpwMdq5YrK9Ur5Fir8zd63AHYdar845zyduUJpZRTQbMrd2f4NYG\nYo1I3j09hJue2oM9ncNSTDOXBiQMeXZzolublR72uQIIhKMw6zRxaxkr5dauMuvxp9tX4wtrZ0v9\n1qvNwjUrd2u7A2HM+8Eb2PCLVuwWvSHyGvNktDQIqy39+ZBgzcU3KRnf3jORbJejZWV+yVzLUszZ\nEr+cJ7s+WTJe4vnPFr1GjZpSPbpGUndUS3S397sCcQ1IklFh0uGpTRdLwgwI18SNS2rQM+rHvu4R\nKcF1tviZrBLCwlEYi7ABCZCnOK9btw7bt28HABw+fBg2mw1msxDjamhogNvtRnd3N8LhMN58802s\nW7dOuRFPMha9VlyMIXmNYDLYhchuimzJtoVnnycS10nohJiYki4hjNVsp7qRWbz6rVMxNx1LnHrh\nSD94HvjYkppsDiMnNCoOG+ZXCUvOOT0Y8YcUjzcz5HHPJlkSm0rF4Y+3r8Jzt61UdH/yHACdWgWd\nRiU9BFmsz+EJSg0p8mF5fUyQF+eZzJYLZjE7mz0848VZOL9/99t9eOFIPx587YT0kK/LI0FLLlbJ\nFo+pNGml5h2l4rgkcZ5Ad7BMcByHuVUmnHR6JC+h0Ac8gndPD+HH4uIlK2akb/pi1gsJZ0wgG+N6\nb2fO2HYkWZs9GezcMaEFhG6BPM/HZWsD8sRJYdtSA5I8Y86AkIHelWZtbJYMFlu1LZCyxjkTH18q\nNFJ54XC/lKndJE4sMhlZoUgUkShflH21gTzFeeXKlViyZAk2b96M73//+7jvvvvwpz/9Ca++Krhf\n77//ftx99934zGc+gxtuuAFNTU2KDnoyYeVU2XSXYbCEsMS1cTMRW/witTj7QxEM+qNoLDNKN2U2\n4iy3nJPBhETeKpH9//8OCaVOHxMvfKVhtb1vnxrEsDd1p7OJMsOaXJwB4Oq5VVLLTaWQexmYeJh0\nwtqzvWMB8DwvLl6fv7XOLGeOQ9yyi5OFZDmL4mxKIs6eYAR6jQovHR3A4X4XzHp1XrXjcss58fcC\nhGvZJ/ZCZot4sGunJseHeq40V5bAF4pKwsrqvgEgHOWFFcSy8DLJ+6fL67RzsZyrM4hzbakeBo1K\nup/tXSOY+/Ab+O6OdvSOBWDWq6XzJ00excUwWOvO5jwtZ0AwUgLhaMpjYS1oWevPflcgaXewbGBr\nt9u7R6Ua59nidZTJci7mtZyBCcSc77nnnri/Fy5cKP1/9erV2Lp1a/6jKiDyWudsXbpdIz5Um3U5\nuypjy0amdmt3yUouWHY3K+lIV35kzWg5x143alXwhaI4PehFMBzF6yecWFJbOqHZczqumCMkDL51\nyglXIDzllvNkIW8KIxenulI9esf8cAXCCEaiGR+u6WD9jpsqTHmVuuQKs5Rjbu3YPpnlflvLDFxU\nZ8XX/3oEncM+zK/O77phYmXQqJK6qeUhiERxrs0jOzwXWCnPqUGPlOEMCE1o3j09JC1rmolLGsvw\n6z1CklbOlrM7O7e2SsWhqdIkiTPrKvejt09DxcV7NeQlh4DQHcyoVU2o25p8sRtbku2wCo0FNjMO\n9bnQ7wpIHRBZZ79sqSzRYWaZAR+cG8WqmUJYgd3rGcW5iNdyBqhD2DgsOdY68zyPzmFfXg0fpFKq\nNJZzp6xPL7sph6RSqtQ3qSWT5SwTErZK0KlBD9p6x+APR3HlnPGlIEqxpKYUZUYtXj4qxJ2VrnFm\nyC3nfGNouSB3a7PG/IDgQhz0htAthj+qJ2DlVZbo8LWr5uDrf5NbI5h8YSKYzK195ZxKHPr63+C3\nm1fgMy0zpM5k+ZRRAUJ51pxKE5bVWaR4rxz5tcxKaq5qrsSiGnPOIaVcYZYkmxgzcf7/27v34Ciq\nfA/g3553JjN5TMiLQAhPwSQ8QsAAghABEQRfBOFuRNxYoCIIRgIoF7hVd13RtbyyuutKoSCyYoVy\nFZRbbClbXmrF6CYuBlAjRiXyCHm/k8lM+v4xc3p6kkkyz3R3+H3+IpMwczqd7l+f3znndzKSIlHx\nn/Px+v0TvXqf6cNdy/iS+6i97Qnbo3tML2U1xUZZjKhr60R9W6dQQ76pwyZUB2PinVXCrjY5Mjs/\n1rRiVEx4QGvkh/dTJYytRWZL1K43W1F0qQ4cB2Qk9V+Mp7tJQyNxtbFDqH+ewoJzP0tihU0vZLqU\nSp6tkpCvezrXtFjRbutyS1F5y9Vzdl2QLR02t6o3v4gqCXUPtH2lg9kFyMpMdicO7GzcprymVdgy\nT3wTCTaVisOslGghYxCqtDYLEoH2BLzlKa0NuMb3zjnPayA9ZwB4aVkqHp2ZEtB7eIuNOXevrQ04\nxmJTE8xQqTgkRhiE4QpfC5CIfbJuBt5fk+nxezGi36/J2Y4dC8bhQsE86ENc5YkFRFdwdpUzDddr\nPD5MeJKWaBbSqMNED49xZvfa293xPI+iS/VIijR4NXzGeo8/1bTiQqWjYA2b4yI+P1q1CrHhOlxp\naMe1pg40ttsCSmkDrgxIb2ud2YQwth2lY0JXA1LjzX4Nh7Ca9Gz+TFKkAWoV50XPmaW1qeesCGwi\nlbcztl2TwXwPzkadGnqNyi04P338Aia/9BkqnH/YQnCOdg/ORp26z/2Us0ZE4+hDU/HErSkevy/u\n5d060rGrjSM4O1JgnvYWDqZbR7p65qFKa7Oec4rFOCC1c8UZALe0tvNBie0+5eu4mpRM3VLn4X2k\n0h/MdFTSCqQXOzLG2GvwYZkmwNWjHyhs9jkbG+1eztRbWrUKd6cl4NaRFreJSOKe89v/qsDyg/+C\n1eaalFpR34ZrTR1elXkFXJmi8toWXKhswkiLEU87sy2J3SbPJUYYcLWpHZ85g9tMDwVUfNFvz5kF\nZ2ehnFMXq9FqtbttcOGLyc6JeCztHxOuQ4Re4/WYs1zT2gP7F64AvtbXdlUH8/2GxHEcYow6YSlV\nVxePv527BlsXj/OVTRgeHSbMuBwdEw7xw3lfm16w975/4tBev896eREGDVIsYRhlMaLksqMEoVmv\nCflkIzaRAwhdzznCoMHdqfHI9GJ/7WDQqlWIMDhuCuLtEtkY3zdXHME5kAlhA617EOxrw4WVk4ei\npsWK+ycmhqQtntLaA4V9Hpso6imT4K0jD/ZcH8uOrbymFZs+OI+6tk58llUDFiaLnBmtWzxsK+oJ\nmy/y5aV6XG+2YnpyNDbOHom6tk48PM29FsPQCAPOXmkUJoJmBzhRUjzm7AkLziMtRqhVnLBKxNsH\nj+4mDXUtYQvTOva4jzD0vyRWzns5AxSce4j0MTgLNXL93GQgJlwr9I6/vtwgjO2x9NnF6lZoVK4Z\nkEyg47Ss5zwx0VEPfFRMOIou1aOsqgXZY4Z4nabzV+bwSOg1KnTYukLWc+Y4Dh/8dnpI3rs3FqO2\nZ3Du1nNWVnB2Dz7GPoKRRq3Ck3O820rUH25pbR97rIFiGYRmITiztHZw2qHTONZxswIzgGNJ40OO\nzbiESV3e9i5Zz/lj57yOm+NNMOo02HPXzT1+lg3/fHj+GiIMmn6XhPUn3qSHVs31utaZTQiLNmoR\nZ9IJM+D97TmPshid+47b3Todv/ax1hqQ917OAKW1exD2dPZyzNnfutpMjFGHxnYbOu1dOCHa9JwV\nPLhY3YKh4Wpo1CoYdWrhKS/Q3uaI6DAsS43H2izH1S+eMBXqlDbgKFbAPidUPWcpsJuDe3B23PzY\nQ1gg65wHmjitrVVz0Eq4762459w93R5qLAj37DkHrx1sLkKEQQOzXoOPLlQKa4WLfqmDWsVhaj+F\nThg25szmr/RVQ549PLZ1duG2UTE9NuzwlUrFYVhkWO9jzu2dCNepoVWrhCVwJr1a2I/an89jSwzZ\nA1yE3tFz7qt6pdzT2hScu/F1tnYgY86Aa63qO8W/4sS314XU9cXqVtS3daK6xYrhZlexd3aDCrRy\nl0atwoe/nY4HMx0pLvHerQMRnAHgNmdqeyAmaw0UNtzgqefMKKvn7DqOYAYif4iXUvkzcSgQKhWH\ncJ0azc6gHEhauzdsOdX6WSlYND4WP9W2orzB8eBe/GsD0hLMPbZT7I1Jr3H7O+srOIuruWX7sB99\nX4ZHOcaxPRVzqm9zFR5i8y+mD48OqErgZGdqm2UEIwxa2Lt4IXXtidzT2vJslYSEMWcvJ4RdqnPs\neNT9BuytZ+ePRbhOjS3HLwglM6PDtLhY3SKktoebXBcku0EFu7c5esjAB+ct80Zj/4pJAY9xyUlf\nPWcm0NnaA8kkCj7BDET+kLLnDDjOKdu9KdhpbQCYnBSJIeE6bJo9CktvdlTnO32lHaXO5Y2+jsmK\nH7j7mkOSKHo4njcmptef88WwyDDwvKsynpi48BB7ML9lRGD3HDYpLEaUfQD67mQJs7Wp56wMPk8I\na2hHkoe9W701LCoM/7lgHGpaHdudLZ4Qj9FDHAUEvneu2xtmdv3xsBtUsNcGj7I4JpAMjTAINZND\nLcKgxW9vSQ75+PZAYk/u4p5dpEEjPJ2HaVVe937kQJzykzo4Sznm7PhMDZqtoUtr770nDT89ezvi\nzHosnhAPFQecutSOQ8WOXbF8HZNlk8KSo8P6zDSwnnOMUYv0hMDGmxm2UqL7ft9dXTwaRCV7WafG\n24luvclIcvScWZrcm06WkNampVTK4Epr9z/m3NXF40pDu98pbWbznFHCgvzFE+IwJiYcVnsXPit3\nLG1INvfcmznYPeekSAMyhkVi5ZTeZ3iT/gnBWRSAOY4Tes9KWkYFuNK5gPTBWadRCUF5oGdrOz5T\nLYw5N3cEP62tUnHCMEJMuA4zUyy4UNuJ//k/R+1u8QoHb7B5JP3VYE+JNkKj4rDwprigPSizgH+l\nW8+52erYkpIF58dnpuC5xeOxZEJgmyNlDIvE26smY2u2Y7mY2YvhyTaZTwhTziP8ADH70HOuarHC\n1sX7XRGJ0WlUOJ43HV9V1CM9MQKjnQUPTn5fBQDCmDOAoI05d6dScSjePCeo73kjYstIuv9NJEbo\n8VNtq6LGmxmTXoMWq13yMWfA8fff3NE24OucAdfvoauLD0lau7v/uuMm7Pnff2N+egoWjIv1qjKY\nGEtr9zXeDABxZj0+33BrUKvo9dZzZsuoosIc52+ExYjtt48N+PM4jhPmzwDezR1ql/mYs/RXm8zo\nNY7CIN6MOV9zFosPxnZ1Y2NNGOtclD/GmY66VNcGtYpDYrjrBsBSe4NphvNg8vC0ZIy0GHuM3bGe\ns5JmajMmnRqVAIwyGJuLMerwc22bJL14s14DngdaO+0hSWt3lz12CCIbozF16hi//v/8cUOQlmDG\nci/WnU8L8jyTpIjegrPjvhplCO39y5tKj2zMWa6ztSk4e8AKSfTHtTdqcOv6jhFNzkqJDoNGlGqa\nNyYG+780BDyBgoSGTqPCwpt6pujYpBul9pwB36thhcL6WSk4f61JkiVd4rXOLVY7tGquzyp9UkuO\nNqJ0y1xJPrv/nnOog7Pj/fvaXVDYlYrS2soRadB6GZzZ3qjB7Q2NFqWvuqey5o4Zgl93Lgjq55HQ\nc/WcFRicZTLmDAAPT0+W7LPFVcJarDZZpPnlKrHXnrOznn6INrthvJnY61pKJf3ftSfyfGSQWIRB\n41URkmvOal7BSGuLJZj1QiUmX8eZiDyxB7hAdqSSitBzvsGDEZuM1txhd47By/OmLgc6jQpxJl3P\n4Oy8r4Y8ra33Yra2zNPaFJw9iHBO/LB39V5dBghdWpvjOGFnGArOg8OSCfFYenN8yOpOh5IrOMvz\nJjZQ2O+h2Wqj4OyFoREGXGlsd6vSVdc6UGltb9Y5y3u2tjxbJTF2YvsarwBcae1g95wBV1Cm4Dw4\nxJn1OJY3XZHnUy5LqaTWM619Y/8++pMUaUCL1Y7GdhvqWq34V2WHsLRqoMacvUtryzMMyrNVEvN2\nT+drTR1QcaFJVWaPGQKzXoNML2vpEhIqbCLUDZ/WZvW1222yWVomZ+JJYZs/PI9HP63BC//4EYBr\nKVWosLT2W19dQvyuk3j5sx+F71241oSKujbXhDAac1aOCL37UxfP8/hb6VX87NzajLna2I54sz6g\nmrC9WT8rBXX/vQgJQU6ZE+IrNtYqh6VUUmI1EKpbrOB5yiT0h1UavNzQjk9+qEa4hkNaghkplrCQ\nZ5ASI/TIHjME8WY9rjdbceJb16ZCc//8Oe458JXsx5zp0c8D8XgFz/PY/OF5vHL6J8SadPhk3QxM\nHBoBnudxtalDqOwVbBzHQT14qloSBaMxZweWQWATQW/030d/WM/5859rcbmhHfOGGXBq89wB+WyN\nWoVPH5sBANAXfCxsWNJp70JVsxVVzVY0xzo6XzTmrCAsODe0d2KTMzAPizSgqtmKeX/+HGevNKC5\nw45Wqz3ok8EIkRs21ipFVS45Yb+HymYWnG/s30d/WHB+7+wVAMCkWGmWEbqXXXWNQZdVtUDFwa2O\nhJxQcPYg0jmZ4N2vr2Dv6Z+QlmBGyVNz8OYDk1Db2olnT3yHq87qYIlmCs5kcLsnLQGP3JKM7CDt\nWKRULL1/rZF6zt5gJWy/rXRs4DNZouBs0muEoNx9km+YVg2Oo+CsGKznfKj4V3AccOTBqYg16fHw\n9GSMijHizC91rpnaQS5AQojcpFiM2LdiEoYocI12MPXsOVNw7kuSaJ/oMK0K4y3SlBw26TU9Nixh\n5DpTG6Dg7FGEKH23anISUhNcheNvSY5GbWsnTpfXAnDfC5UQMnixtL5rzJnS2n2xGLXQO4Nf1oho\nydLHZr1GCMosSLPOslz3cgb8nBBms9nw7LPP4tKlS7Db7SgoKEBmZqbbz6SmpiIjI0P4+sCBA1Cr\n5fuLEGM9Z7WKw647xrl9L2tEFN79+jI+OHcNAPWcCblRCD1nmhDmFY7jkBRpQHlNK24daQHQIkk7\nTDo1rPYuWG1dQnp7zqgYfPZjjWxnagN+BucPP/wQYWFhePfdd/HDDz9g+/btOHr0qNvPmEwmHDp0\nKCiNHGhs27+Hpw3HuFj3vVDZpuDFvzYAoDFnQm4UbMy5w7kEh4Jz/9yCc7NEwVlU2Y31nO8cH4fS\nq42yrnXvV3BetmwZ7rrrLgCAxWJBfX19UBsltVEx4Ti3ZS7GeVgmNTkpAjq1Cla74wKl2dqE3Bj0\nGjW0ag6ddkc5Skpr92/GiGhcrG7BjBEWlJ2vkKQNLOPR3GETllTFGLU4vX6WbJdRAX6OOWu19+Cw\nigAADa5JREFUWuj1jnTuwYMHhUAtZrVakZ+fj5UrV+Ktt94KrJUSSE0we9yWTq9RY0pShPA1pbUJ\nuXGYRAFZDltoyt3zSybglx3zhQIuUhBvWMJ6zia9BjcnmDEqRr7ldPv9jRUWFqKwsNDttQ0bNmD2\n7Nk4fPgwzp8/j9dff73H/ysoKMCyZcvAcRxyc3ORmZmJ9PT0Pj+ruLjYx+b3Ldjvx4w0dKIIgEnL\n4cI3/w7JZ3QXqmORAh2LPNGx9E/PdQn/vvLLTyi2XQ3J54jReQlMc51jCPKrs+fw3XUrAKCy4mcU\nd10L6H1DfSz9BuecnBzk5OT0eL2wsBCnTp3Cn/70J2i1PafIr1q1Svh3VlYWysrK+g3OU6dO9abN\nXikuLg7q+4kt4y7jSFkJhkWHh+wzxEJ5LAONjkWe6Fi8Y/n0H7jW6ly3m3oTpo4eEpLPYei8BG5s\nbRnw7fcYNnIMfuRrADQGfO6CdSx9BXi/0toVFRU4cuQIXn31VSG9LVZeXo78/HzwPA+bzYaSkhKM\nHTvWn4+SpVtGRAEIzW5UhBD5MouWWZpozFkR2IYlzVZXWtusgGp3frWwsLAQ9fX1WLt2rfDa/v37\nceDAAUybNg1TpkxBQkICli9fDpVKhezsbEycODFojZbaSIsRzy0ej8xhUVI3hRAygMQlTGm2tjKY\nRFt9svXOSihF61cLn3rqKTz11FM9XhcH6y1btvjfKpnjOA7bbx88mQBCiHfMbsFZ/jd44j5bW0k9\nZ/nOIyeEEJkxiWZo02xtZRDWOXfYhSIkShiSoOBMCCFecltKRWltRWBjzk2inrMSzh0FZ0II8RJL\nh6pVHHQe6iAQ+TGLKoQ1W+0I16mhkuk2kWL010UIIV5iKdJwnXy3GiTuxBPCmtptihhvBig4E0KI\n18zOcWYlpEWJg7hCWLPVpoiZ2gAFZ0II8Zqr56yMGzzpOVvbrJCJfBScCSHES2ZRWpsoA3uQauyw\nocVqp54zIYQMNiYKzoqjVnEw6tSobOoAzytjjTNAwZkQQrxGY87KZNKpca2pw/lvCs6EEDKosBs7\njTkri0mvQX1bJwDqORNCyKDD9iWmnrOyuG1YopAJYcp4hCCEEBkYHROO3KlJyM0YJnVTiA9Moocp\npfScldFKQgiRAbWKw6H/yJC6GcRHJreeszLCHqW1CSGEDGri3rJSes4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_with_noise = x + noise\n", "plt.plot(x_with_noise)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whoosh, this signal seems corrupted. What are the results of the DFT?" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unnormalized\n" ] }, { "data": { "image/png": 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/5SUajZbHVgWzcG80o5eerLHWO7+0gqOXsvFrboujpcltP7etmRH7nu1Lzgej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k4CG8EzKnFgVcJ8mhQqVxRSHDzY1G4kY/741LpyuTqbSt0lGOOLboH0ef8CWo3yzL8kH2NU/L/5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\nccEpk20hy8ZU7vdVm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Normalized with 1 / sqrt(N)\n" ] }, { "data": { "image/png": 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NX8oqZNTyY7zvF8mzf1XfSOJgTDolak2lcr+aaOFowZlXB5L03jC2PN6dd4d5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\nPcTDrXvXqX5VjclsZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Unnormalized\")\n", "plot_x_and_rfft(x_with_noise, rfft(x_with_noise))\n", "print(\"Normalized with 1 / sqrt(N)\")\n", "plot_x_and_rfft(x_with_noise, rfft(x_with_noise, norm=\"ortho\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this small amount of noise, one can still see the importance of the first 15 DFT coefficients. With more noise (i.e. a larger stddev), the result gets, unsurprisingly, worse." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussian Noise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How is gaussian noise treated by the DFT?" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "noise = np.random.normal(loc=0.0, scale=1, size=200)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unnormalized\n" ] }, { "data": { "image/png": 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UKrq1+OnWcjy9u9br32v7dOA44Nm9dWH5PIBfd53r1SE/WSkE6gCfCAIQFtmf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\nokLV1dUmVwV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Normalized\n" ] }, { "data": { "image/png": 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wsLE/5iC3ecACtTyB76/rMcYn+6NpBs95SePHehZevPQY2Rluy4rUULjnhwHA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Ljp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\nfn5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Unnormalized\")\n", "plot_x_and_rfft(noise, rfft(noise))\n", "print(\"Normalized\")\n", "plot_x_and_rfft(noise, rfft(noise, norm=\"ortho\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a random noise, all coefficients seem to be relevant. There seems to be no pattern." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Polynomial Signal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discrete Fourier Transformation of an arbitrary polynomial series." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "z = np.linspace(-1, 1, n, endpoint=False)\n", "polynomial = z + z**2 - z**3 + z**4 - z**5 # some arbitrary composition" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unnormalized\n" ] }, { "data": { "image/png": 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jlNtaskoJIZCYXWhLrk6m5uFUqh5n0vLwx5Xccs+XJKCZh5MtyWrh7YLmnlo0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\nrB2mTaCjBrGqNY9SMewX/2c2n4qxUeThg3thrulcLLo4yt3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Normalized with 1 / sqrt(N)\n" ] }, { "data": { "image/png": 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bPORqi0YuWtR30rB3LKJ7VPAA2eSsPCRl5SIpM7foeHYekjJz86fzLIlSZhnP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\n/4NsXhNH4OYpmjy125uAQtCvb2iyU92n0v2+R9m4ahH1N76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dS6+6qMBenctMr7xnz9J7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\nDFRCCCGEEEIIYaX/B+qWRqe0s0slAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(\"Unnormalized\")\n", "plot_x_and_rfft(polynomial, rfft(polynomial))\n", "print(\"Normalized with 1 / sqrt(N)\")\n", "plot_x_and_rfft(polynomial, rfft(polynomial, norm=\"ortho\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Discard all DFT coefficients with k >= 10 and k >= 5 and plot the resampling results." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fft_coeffs = rfft(polynomial, norm=\"ortho\")\n", "trunc_fft_coeffs_10 = np.ones(len(fft_coeffs)) * 0+0j\n", "trunc_fft_coeffs_5 = np.ones(len(fft_coeffs)) * 0+0j\n", "trunc_fft_coeffs_10[0:10] = fft_coeffs[0:10]\n", "trunc_fft_coeffs_5[0:5] = fft_coeffs[0:5]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8twA+rv/EoXwWWE+8w0D2jgrUvkFY8/d3yLmFEEJ0T7bCdAAMEsJt5FYg0ED/\nmydi6BXQoafemeBPjs6CNTUPdeSV2EszcVsbOvQaQgghug9bYRoAhuikLrtmjw5hn4hgmBZDQEJ4\nh5979sBE/hqRgxMFs3M6CnqsBQc6/DpCCCG6B+vPPWGjhLDn3Zo0jMN6G+8HVeFyGHAGzJbnwkII\n4cVshWm4+/yaQ6/9gNNi75JrSgifhq9ORx9VH5b3zgcfNU7/K2nIOuLpsoQQQnQCV2MNdpOCTX81\nisOFWqtp/aAOICF8Bhf1SsCqdvNtvAFUWmoK+3q6JCGEEJ3AUpCGI/h2QEO/q8ecNMtiZ5EQPoN5\nQ5pGyC13FqJV5eFU4qnPLPJwVUIIITpa5a4s3Iah+IW7CRkW3WXXlRA+g9kDElC59OQ6igiKLAWg\n8Ks9KMqp1yMWQgjR8zjNNqoz9eA2EzltQJdeW0L4DLQaDfG6KNxaO0eDA1FbfsRSbqEuQ3rDQgjh\nLYq/S0dx69Ca1uI/sOveEQYJ4VbNjB4MwBqLFl39akCh6JsDKG7pDQshRE9nKa2lYudRVK4yfP2z\nUet9uvT6EsKtuG/kaFDgC6cbtasEgy4La3k9tdIbFkKIHk1RFAq+2geKgq7m3xijE7u8BgnhVgzu\nFYqfO5gSfQPq3gmoqz4CFZRuPiTPhoUQogerzyrFdLQM3wgtGttPXTpT1nESwm2QHJQAKoVj/v3A\nlEHggFDMhdWYsss8XZoQQoizoLjdFK3/CVQQFNF0Z7MrF244TkK4DW4e1PTb0Q/qYACC+zUCULrp\nkMdqEkIIcfaq9+dhKakldGQcSl3TbIjSE+6mbh02DJVLy3aDoemDhjQCBoRjOlaOubjGs8UJIYRo\nF8XlpnhDOiqtmqjpw7EVpKHSGdCHd+3rSSAh3CZ6rYZobSQHg5p6wta8fYRPbBo1Xb4905OlCSGE\naKeqvTnYaxrpPbY/ukAjtuJDGCITUam7ZpasE0kIt9FlfQdTqffDZGhaWzhwYF8MvQOo/ikPR4PV\n0+UJIYRoA7fTRcnGg6i0GiImJ2Ivz0ZxWLt0DeETSQi30T0jR4NKRYZvGI7KXNyWOsImDERxuanc\nddTT5QkhhGiDqtQc7LVm+lzYH32gD7afly/0xPNgkBBus5HhffBxBnLAPwQAa8FP9Bodj8aoo3zn\nURSX28MVCiGEOBO300XJpkOodBoiUoYCYCtIAzwzMhokhNtlRGAch/37AGDN34/GoKPX6HicJiu1\nh2TyDiGPyipHAAAgAElEQVSE6M6q9hzDUWemz4UD0AU0zYxlLZKecI9x44CkX0I4bz8Avcf1B6Bi\nt9ySFkKI7srtOKEXPGlo8+e2wjTUvsFoQ6I8UlebQjgzM5Np06bx3nvvnbRt6tSp3HTTTcyfP5/5\n8+dTVua9E1jcccFw8gy9sai1WPOa3ivzCQvCP64PpqNlWKtMHq5QCCHEqVTuycZRbyFs/EB0AUYA\n3HYr9tIsDNFJqFQqj9SlbW0Hs9nMkiVLmDBhwmn3Wb58OX5+fh1aWHfkq9PRVxtFpl8fLig6hOK0\no9Lq6TOuPw25FVTuziZ65khPlymEEOIEbqeL0i0ZqHUawicNaf7cVpIBittjz4OhDT1hvV7P8uXL\nCQsL64p6ur1Z0YlkBIShcjuwFTXNmBWc1A+Nr56qPTm4nS4PVyiEEOJE1fvzcNRZ6D1uADp/Y/Pn\nv4yM7sYhrNVqMRqNZ9znb3/7G3PnzmXZsmVev6jBotFjOOz3y+AsALVWQ69R8TjNNuozSzxZnhBC\niBMobjelWzJQadSEXzy4xTZbYdPIaE8NyoI23I5uzX333cekSZMICgpi4cKFrF+/npkzZ57xmNTU\n1HO9bKeerzV5xgQA0rb/F1/fn3+DMtoAyP5+H1jO/rl4V7elM0lbuidpS/ckbekkhSaoNEFcIGlH\nM1ps0h/chgY4XOmEhlPX3NltOecQnj17dvPPKSkpZGZmthrCycnJ53rZZqmpqR16vrbom5OCK205\n5sojTDrh2ocO1mMtq+eCoUlofQ3tPq8n2tJZpC3dk7Sle5K2dA5FUcjY8Q0WlYphv5qEsXdAi+2Z\n7+VDSBTJE6ec8viObMvpwvycXlEymUz89re/xW63A7B7924GDhx4LqfsEe4cdRG5viGEVmWhuH+Z\npKPXqDgUl5vqA/kerE4IIQQ0rRdsKa4hJCn6pAB2NdbirC706PNgaENPOD09naeffpqioiK0Wi3r\n169n6tSpREdHM336dFJSUpgzZw4Gg4HExMRWe8HeYGZ8LM/5RdLfnE5VYQa9Y4YBEDoilsKvf6Jq\nbw5h473/lxEhhOjOSjc3DZ6NmJx40jbbz5N0GD34PBjaEMJJSUmsXLnytNsXLFjAggULOrSo7k6t\nVlPbKwkq0vly86fcOr8phHWBPgQOjKA+swRreT3GsEAPVyqEEOenhrxKGnIqCBzUF9/IkJO2W7vB\nyGiQGbPO2qBh0wAoy9ra4vNeo+IAqNqf28UVCSGEOO6XXvDQU2739MINx0kIn6UbpvwKNxBem4n7\nhOfCwYlRqA06qvblori9+3UtIYTojiyltdQdLsYvtjf+cX1OuY+t4ACoNRgiTx3SXUVC+Cz5BoRQ\n6BtBYkMJqzION3+u1mkJGd4PR50ZU065BysUQojzU+nmpleR+k5OPOV0lIrbjTV/P4aIwaj1Pl1d\nXgsSwufA1nc4/i47n+9e1+Lz47ekq/fleKAqIYQ4f9mqTFQfyMcnIpjAwX1PuY+jIge31YQh1vPT\nDEsIn4NhIy4FwFG0o8Xn/rF90If4UZNeiMvu9ERpQghxXirdehgUhYjJQ0+7KMPx2Q6NMRLCPVrk\n0IsBGGDOZUdRcfPnKrWK0JGxuO1O6g4Xn+5wIYQQHchRb6EqNQd9qB8hSf1Ou5+EsJcwxo7ErVIz\nzFTKM6k7W2wLHR4DQE2aTNwhhBBdoWzbERSXm4jJiag0p4+3X0J4RFeVdloSwudAbfBDFTaIRFM5\nm8oOtdjmExGMMSyQuiMluGwOD1UohBDnB6fZRsXOo+gCfZrH5ZyONX8/2uBItIGeXx1QQvgchQya\ngK/bQZglk/1lFS23DY9BcbqozSjyUHVCCHF+KN+RhdvuJPziIai1mtPu5zRV4qwuxNgNBmWBhPA5\n8+k/HoARphKe2vNji23Nt6RlLmkhhOg0LpuD8u2ZaHz19B6bcMZ9rfk/Ad3jeTBICJ8znwETALig\nvphvSlrekjaGBeITEUx9VilOi90T5QkhhNer3JWNy2InbMIgNAbdGfe1daNBWSAhfM4MUYmojf6M\nqiunRl1BRlV1i+0hw/uhuNzUyS1pIYTocG6ni7IfDqPWawmb0PrCOccHZRkkhL2DSq3BmDCOeEsF\ngU4rT+1qeUs65IKmW9KyvKEQQnS8qr05OExW+lw4oE3ruFty9qA2BqAP698F1bVOQrgD+P78XHi4\nqZSvig+22GbsFYBvZAj1R0txmm2eKE8IIbyS4nJTuiUDlVZN+MTBre7vstRjLz2CMS4Zlbp7xF/3\nqKKHO/5cOLm2mkpVOTm1dS22hwyPAbdC7aFCT5QnhBBeqSYtH3t1I72TE9AFtj4HtDU3FRQFn4Rx\nXVBd20gIdwCfhAsBSLFWg0rhyd0tJ+4IGd40c4vckhZCiI6huBVKNmeAWkX4pCFtOsZybBcAPglj\nO7O0dpEQ7gDawD7owvozqD4HlaLwRUF6i+2GUH98o0MxHSvH0WD1UJVCCOE96o4UYy2rI3RELIZQ\n/zYdYzm2G0B6wt7Id8BFaKz1JNZbKFNKKTSZWmw/fku67rCMkhZCiHOhKAqlm5peCY1Iaft6wJZj\nu9AEhqENPf280l1NQriD+A6ZDMD1DjOo3fz9x5YrK4UkRgFQc1CeCwshxLmozyqlsaCK4MRofMKD\n2nSMs64MZ3UBPgnjTru6kidICHcQv59D+Cp309SVn/48K8txhl4B+PQNxnS0DJdVJu4QQoizoSgK\nxd+mAdD30qQ2H2fJ+flWdHz3eR4MEsIdRhfWH21wJP6Fe/BzBFGlKuNgRVWLfYITo5sm7jhS4qEq\nhRCiZ6s7XIy5qJqQ4f3w7Rvc5uOOD8oySgh7J5VKhe/QS3DVlzPXJwhU8PjObS32CRkWDcgtaSGE\nOBuKW6H4uzRQQd+pbe8Fw4mDsiSEvZbf4KZb0vcE2ECBr0tbjpI2hgdh6BVA/ZFi3A6nJ0oUQoge\nq/ZQIZaSWkJHxLb5WTCA4nZhObodffhAtAG9O7HC9pMQ7kDHB2f1Kt5LiLsPJk01PxT+MhpapVIR\nPCwat8NFfVapp8oUQogeR3G7Kf4uHVQq+k4d1q5jrfk/4bbUN/8b3Z1ICHcgfcQgNEHhmI9s5qrI\nplslS3fJLWkhhDhXNWkFWMvr6DUqDmPvwHYdaz6yBQDfwSmdUdo5kRDuQCqVCr8hU3DWlvBoQm9Q\nVGyuOtxiH9+oUHRBPtRlFKG43B6qVAgheg7F5aZ4Qzqo298LBgnh84r/8BkABOduI4K+WLX1fJ6V\n3bxdpVYRnBiNy+rAdKzcU2UKIUSPUbnnGLZKE72TE9o8O9ZxiqJgPrIFXa8Y9L1jO6nCsych3MH8\nh88EoOHAOn4d17Re5bP7/mfiDrklLYQQbeKy2in+Lg21XkvktPaNiAawF2fgaqjqlr1gkBDucNrg\nCIyxozAf2cKfRyaBW8POuiO43b/cevaP7YPW10BtRiGKW/FgtUII0bkURaEhbT3Fb95G/ovXkLfs\nciq/Woajum2dkJJNh3A22oi4ZCi6gNZXSvpfjd34VjRICHcKv+EzUZx2fPJ2Eq/th1Nr4Y0Dac3b\nVRo1QYlROE1WGguqznAmIYT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d6HS10HgQpWYPavsxjHFj6Xvz8/gOurhNNdprG6k5WEhV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\nm1+l8Ot5SK7+PNfjjww7u59iVQHudm82Dfk9R2J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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(polynomial)\n", "plt.plot(np.fft.irfft(rfft(polynomial, norm=\"ortho\"), norm=\"ortho\"))\n", "plt.plot(np.fft.irfft(trunc_fft_coeffs_10, norm=\"ortho\"))\n", "plt.plot(np.fft.irfft(trunc_fft_coeffs_5, norm=\"ortho\"))\n", "plt.legend([\"raw\", \"resampled_full\", \"resampled_k<10\", \"resampled_k<5\"])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusion\n", "\n", "- For k=0, the exponential function reduces to 1 and the coefficient is simply the sum of all series values \n", "- The DFT k=1 coefficient correlates the signal to an oscillation with 1 period in the signal, the k=2 coefficient correlates it to an oscillation with 2 periods in the signal, and so on\n", "- If you want you can make the statement: Taking the first DFT coefficients corresponds to a *lowpass* behavior, taking the last DFT coefficients corresponds to a *highpass* behavior, and you can realize whatever bandpass you want by picking the coefficients of interest\n", "- Discrete Fourier Transformation (DFT) is not restricted to obviously periodic signals\n", "- If the input signal is real valued, one can exploit the symmetry of the DFT coefficients\n", "\n", "# Further Research\n", "- If you are interested in the symmetry of the DFT and the important but unmentioned [Nyquist Frequency](https://en.wikipedia.org/wiki/Nyquist_frequency), you can find many valuable resources in the wild world wide web" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 2 }