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@SirEdvin
Created December 1, 2015 10:17
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{
"cells": [
{
"cell_type": "code",
"execution_count": 118,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from math import *\n",
"from IPython.display import display, Math, Latex"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def analysis_file(path, count):\n",
" file_df = pd.read_csv(path, header=0, names=['data'], nrows=count)\n",
" analysis_df(file_df)\n",
" \n",
"def analysis_df(df):\n",
" df.plot(kind='line')\n",
" plt.show()\n",
" data = df['data'].values\n",
" plt.plot(data[:-1], data[1:], marker='o', color='r', ls='')\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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r+fkDvrdHjb0B2TLNzWidoyab3j2pqK83PVy8f7pXX40m4B99dOreM+VK375m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\nE9bwy5NMAX9vAE2e9PJ4XhI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"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de4443d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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g5Zxr8MvfB0445+4OXHM7UOucS/nlh4DnnHP/O3QvLe0oItILPV3dsdAT+6vA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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de2f19d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"analysis_file('./Додаткові матеріали/rr.atr.00.txt', 1000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Функція Вейерштраса\n",
"\n",
"$ C(x,N) = \\sum\\limits_{n=-N}^N \\cfrac{1-\\cos (b^n x)}{b^{a\\cdot n}} $\n",
"\n",
"$ CC(x,N) = \\sum\\limits_{n=-N}^N \\cfrac{\\cos (b^n x)}{b^{a\\cdot n}} $\n",
"\n",
"##### Константи \n",
"\n",
"$ \n",
"\\begin{eqnarray}\n",
"b &=& 1.5 \\\\ \n",
"a &=& 0.1 \\\\\n",
"N &=& 70 \\\\\n",
"x &=& \\{0, 0.0001, \\ldots , 1\\} \n",
"\\end{eqnarray}\n",
"$"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"b = 1.5\n",
"a = 0.1\n",
"DEF_N = 70\n",
"\n",
"def wei_c(x, N):\n",
" result = 0\n",
" for n in np.arange(-N, N+1):\n",
" result += (1-cos((b**n) * x ))/(b ** (a*n))\n",
" return result\n",
"\n",
"def wei_cc(x, N):\n",
" result = 0\n",
" for n in np.arange(-N, N+1):\n",
" result += (cos((b**n) * x))/(b ** (a*n))\n",
" return result"
]
},
{
"cell_type": "code",
"execution_count": 135,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def calculate_l_j(df, j):\n",
" index = df.index\n",
" data = df['data'].values\n",
" count = DEF_N//j \n",
" result = 0\n",
" for n in np.arange(1,count):\n",
" result += sqrt((data[n] - data[n-1]) ** 2 + (index[n] - index[n-1]) ** 2)\n",
" return result\n",
"\n",
"def calculate_beta(df, j):\n",
" l_j = calculate_l_j(df, j)\n",
" index = df.index\n",
" delta_t_j = (index[-1]-index[0])*j/DEF_N\n",
" return -log(l_j)/log(delta_t_j)"
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ShJa0AClCS1qAFKElLUCNh406wzBMEcE+dYZhmFTCPnWGYZhaDxv1WNGSFiBF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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de35a4d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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O0JrQk5S+Rmv696cJr0o0dIu4IUjA2aZZ749MfEmrIP3elKHa0dXWsmnRIpY3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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de3eb190>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\beta_2 = 1.161146$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.arange(0, 1.0001,0.0001)\n",
"prev = 0\n",
"wei_data = []\n",
"for i in np.arange(0, len(x)):\n",
" result = wei_c(x[i],DEF_N)\n",
" wei_data.append(result - prev)\n",
" prev = result\n",
"# wei_df = pd.DataFrame(data=map(lambda x: wei_c(x, DEF_N), x), index=x, columns=['data'])\n",
"wei_df = pd.DataFrame(data=wei_data, index=x, columns=['data'])\n",
"analysis_df(wei_df)\n",
"display(Math(r'\\beta_%d = %f' % (2, calculate_beta(wei_df, 2))))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Додаткові функції Вейерштраса\n",
"\n",
"$F_1(x,N) = \\cfrac{C(3x\\cdot b, N)}{(3\\cdot b)^a}$\n",
"\n",
"$F_2(x,N) = \\cfrac{C(x, N)}{C(0.5 x \\cdot b, N)}$"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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J9zF77RW+HCeOP955+2mn5Xcw2qdY23ln8zIeekgu//tfYLvtzM/zu4/sytvL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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de9e4bd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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BRMHsR74N7CDcf9NxkLDk8nRhITM1brxdOWwZ2yMeWMvYKp2EeSUl3FKZ3p+9\nvKSE+U+nt5oNGn6ndb+K1D5JER/e5xop9ME39nH1SkCM6QeIJNIA/D8kwqMW8fYnI8Z+KL53uwmR\nXO6NGS+FRKQ8BpyK/20haa7jkOgRN/YGZNH18RbmfBmi4TuJaGZgXwox1juJbx83ubCQEaedRlZ9\nfbdp13Y0tHsZW0XpCiRJJS1FStT268ek3r05sH8/N1rb/I8S1IeDC5q7EA/4EW/7DMSgx7EVKYDl\nStruR2SQx4AvI9Ekg5Fol3zEu84luavPRuA94J8JG+EkLXsM6Z7zZKQwV07COYORG8k1+I2Z3fzf\nxDfs0WbP03JymKred4ejhlzp8iRmZcZESixOpVh9220sqatr3laGH543FpERxpMeS/0FxKANQTTl\ndxLmcyZiCKuQiJMCJCxxOhJ90Mc7/1zEY3Zla18jvaLgVESzfoJ079vNNRil4krRRjlEy014RyDf\nGO5GbjiOGfja+nTkJhGMcvnoF7+oRvxDQA250uWJzcqMKdJUVVHBs7fdxqMBIw5irMcjC3yTECni\nR0jIYPO5pNcl+WfiS7leiq9FB+uhlAFfRYz2jYSjVtyi4Wbv8QzEyBtgpHdMnAe+i/AC5AbSo2FA\nwh1dY+ZoPZcZSGmAIvxKhY4lSElal3EalFzKAXYkFdVV2hM15EqXx3mE5QsXNuu0zojPKylpjmSp\n2baNUREj7vgYkpb+H0gH8p4cvvRsMaJzfxbx0ncidVZcPHc0qaYE8dBd9UMIG10nrTTge9+L8cMi\n49LugzcRvDlHFzuDN5dKROu/HDHufb3rBRdmo/RGpJ2gEXdjPqOJPh8KasiVbkHRuHFppWYfmDaN\nghq/MOv7WVmJTRlceN5i/EiRpDR1EIO413s8A9G95+EbxKRmElEPncA5LyELjrPwDfb7SOhfUEIp\nR2SdfTHvowi5GTkv/e/INw0S3s96pISAo5F0RiBx9XGhhys00edDQROClG7JnXPmsLemprnO9lBg\nRGMjNxKfln6J99z9wySlqT+KH17YH8lqfNt77TRrSJdB4qofBpOQrkPavM1CarW45J0NiMEc7+27\n37veO4hnnSKctASycDrf21fonZ90/b34N5K5yI0jiPtsGr1rNnivi9BEnw8T9ciVbkdVRQX9168P\nyQ7R/pPRtHRnzGoQw7g/YewdSAhgMHpkKhKnPQVfs3bZk64pw3sJ473nzW0vkma/HDHQK7z5uW8Q\nwSYOVciqXsjMAAAgAElEQVTNJPj+3M3paeBfkQXPk71xJyALrnH0RCJp9nrXO4DILh/H97wfxJeM\nXCPnO3r0IL9fv4RRlfZGDbnS7ai86y7uj+Q4BPtPBo3ilxHJ4n4kcmUEfox4HLtI92zvR/T1Wwk3\nu60CvogUsTopYTzX3ef3SJp9LWLcXTz5FaQnDy0ivSnyAiQ93unYLxO+2VyRcP0s/PoobtET5Eby\nDmK03cKsk4ceB2hqglWrKAs03VA6DpVWlG7H3vd9gaAKMcrrSZcgqhB55AnEw/0E8HNvX1JlwJ4J\n1ywiPg48G1l4TBpvFtLt59uIFLIYqWs+3nudhXTnKfdel5PsXR9EbiqLCMd6g3jUUyLbphNebF2C\nGHBXf2UZshjqjomVZ6qrWeE13VA6DvXIlW6Bq7WybdMmtq5dK9toua521LMN/rM44zUB8eadzOAa\nJMf1uowmCLn+nMHxoouQ7tuBq3xYhXwrCM7ZxYa7MS6L/wjYi3huvWL2FQF3Id8QDPJNYBzhSBRI\nj1oJplolNmzWyJUORw250uUJptzPQ2K1yxCDFbfANwkx4E2RfdEFyiJE7khFtl9NurH9JhKiGCw2\n5Yx8cLygQQ96w86Axnm9P0GM9z1Ikau+pMstpUjt8v0x78MxCvG0x3tzixpxSI9aCdaFSRpXS9R2\nPCqtKF2eYFnabMRADsMvbhXlDMQbz4tsj5M/XkQkmRS+bt6XdGN7FWIE30Xiyr+IFMqKG3M6fpSM\nwxnQJM/rAmSR1X1DcFEtKfxCW+chxa/24occOuZ615yBRNbkt2JepUjK/ub8fGaNGcO2s85iRl74\nU9PIlQ8H9ciVLke0ZO22TZua9zmv8X2Sa5f8P8TDbUKSZ76OL5OsQozhJ5AaJ9EIlTIIxaK7krAG\n0dqDxw0DfoF8Q3CSyhrvukFvfAricaUQrz6ORvzmE5awd+94FJF4/uDNqxyp51KLlN5dgZ/84zI1\ng7Hho5EF27uPO466xkb6DRvGijPP5NpAEayqioq0xCtd6Ox4tPqh0qWIK1k7Iy+Pr9TVNWvMTyCR\nIheTrpHPQkIDXT2RxcDfCNcfvwL4LS1XCvxvfA3eJBxXjni4dwLHAQMQzXkXkszTC0m06Y0XCeKN\n+QvCVRBdFmURYuzj3td1SAXF/06Yxz5kUbUvUnflA+Cs7Gzub/AFk+l5eYz+zneYmUrFjKK0F1r9\nUOn2xHX3WVJXx4S8PIq89PsNSKXClLc/GBe9nrCxe5+wEQc/wmNEwhzqCWvwqYTjshDjuxBJ8oH0\nBdjozcJ52dFYbrfdZaD+HPnmkIf8k/cGPhIYJ7gY+w9ED++NXxVxRl4ex48fz4TKSvIaGqjLzuai\nb35TjXgnRQ250ulpj+4+WT16MPHUU/lg3Tr+CdGQ3SLdffjG9troeDFjOeP7UsJ8B3nju4ScxEVA\n7/FgYFt0MTPp+vcgce3BxhHTvceJ3jEvQVrSEyRH67yF3DiygRPq6nj517/mvw/6syt76CGqzj9f\npZJOSIuG3BhzEiLxDUGkt/ustXcZYwYiktvJiINzlbV2Z+JAinKEtEd3H4CmffvYs24d/ZEU9mGI\nsZ2ASBmOaMmsOCNchRjrr5AeHTKVsM4MojVfh0SXOJwcMgWRMhzRf8ikm8BpiCxzJfJP2BfR2p/2\nHuMKZs1CasTkEx+t8wXC3v/1Bw+G2tItqK6mfOFCNeSdkMNFrRwC5lprzwIuBGYZY0YBNwMrrLUf\nAf7ovVaUdie2EXILSSZj58yhrLAwtO1riKGrAP4L8UBWIwuLs5CmDq4h8EWEmwOPJb1Z8P9FkmNc\n9Ms45IYwAdHXByEG3kWkFCERI+OR0MbLgdeRDvM7kX8eFyESNdxJUS0vIwuPPZDFyneQxUons1ST\nThGy2LkuZh9I/fMg9+DXenFoTHjnpEWP3Fpbg/zusdbuNcasRf52P4/8zYMkva1EjbnSAbS1u4/z\nFiddfTVn1NbSiITbPRQ5bgliUF9FYq8/wG9ntgM/MqURv77IIKSJQ3/8aJSehOuST/DOd/VQPkCk\njibkhjEMWdg8CaktHsywdDVYgjXMnd49Himl24h43EWE68NUedd7BvgxsnAax3ne3OKIq2wYTQDS\nmPDOSas1cmPMSOTv4AXgRGuta5qyBSnMpijtTkvdfZK086Jx46g8/3xSXp/OaxPGzkLC7oIRIJcB\nn0TklxRiIH+J9Ot0uKiQuEbMjwKfQQx+DWK0C5CbwUfx481d9UFHMFxwOuGwv2uJTzwqwJd23PlT\nkZvRhbTcZDkqCV2Xk8PVB4NqvRA07nHNOJTOQasMuTGmD/Br4AZr7R5j/MgYa601xsTe5FOBFe7i\n4mKKi4uPZq5KNySpu8/wCy9sUTsf+slPMvUPf+D+pqY03RvEQB8gXSse6W2bjh95siRyTB4tR6MM\nB05B5JvjES+7B9LbEny5JCm+bAjpPTWjEgeIXHQJYvTf896PS+ufDryBfJPo5e07RDi23N0sXuvb\nl8/cdBPLH3qIosDnOTc/nz0FBaT69dOY8A5k5cqVrFy58qjGOGwcuTGmJ/AU8Htr7R3etjeBYmtt\njTGmAPiTtfbMyHkaR660C1UVFawIJJlcMns2lXfdxS2VlWnHThg0iIKCAt566y0OHDxIH6TZ8YmI\nNOFqj7+MGNxU5PwUvtc8FpE4HogccxUSZ54URz7Ne9yLGFCLX4fcRYs4aQbC8soUxMAHFypnISGN\ncS3jgin9EL4BjMMvfeuuGY1WmZufz5VLl1I0blzs56yG+8PnSOLIWzTkRlzvB4Dt1tq5ge23edt+\nZIy5Gehvrb05cq4acqXDSBUXk3r22bTtkxF9eCMwx9v2GNI02HEl8BviDbHbFk3mCcZdv4CUlY0z\njC4KJVprpQyJkgHxrquRZJ993nwHIhp6Q2BbDlLLxIUN/l+kKUQ9klLvjHgpIuNcS9jjnoTcTIL1\n1J2W/qYxDDnvPCb88IdqrDsZHZEQ9Clk0X+1MWaVt+17SLeox4wxU/HCD9s4V0VpFXE6OMDql1+O\nPX4EfhPhRUiM9m8ix4z2HoeS3mj4faTAlTP8y5C6KGfiG+Zog+JyRDbJRgzwUNJvEC59fj5iVCfj\nG1i3fbE3177AwzHvbZG3vQrR4hci3v4O5FtENCX/NG/cYEVH93PjWWdxx0tJkfBKpnG4qJU/kxyi\n+K/tPx1F8YmLIb9u5UpqGxu5sbExtsJftEN9Kjge4lW/h8gf/ZBYcKcVr8YvQ+s61RcgN4PgdZzB\n/CKSDXkyUnPlLUTfTiIYATIiMM7rSFTKIcRbXkz6DWY6EvkyEVlk3YHo79cgXtXDhA25+yzAv4kE\n9/cdNqyFmSqZhmZ2Kp2WuBjynxw8yDTEIH+A36asGt/DdR3qq/CLTCWlvlfhh+N9FNHOLyDcqd49\nBnElbC9GaqX0RxYeVwBnJbwfFwESNLIgBvoJpNMOSLq8K2oVrU3uKEe0/2X4dV3Kvc9hAPK5xJXB\nBY0+6YqoIVc6LXEx5FVI7Ha04qAzxvMQfdwZbtdxPlp7PJt4jfsb+H06D1tnOzBWcCHyD8SE9yFJ\nO1/Ab40Gomu7hdA+geOD4Yjjife2g63jWqplDvDmoEGkzj5bo0+6KFr9UOmUVFVUsGjyZB7dvj20\nPSlS5GJE3liKXxfcHVdFevRJ9JggFyH68mS8hUHEyAZjsucii5XbkOSKVGCfi1rZR3jB8kdICYDe\niA6+H4mmcXHscTeWa5ESAjn4nYgu8eayA6nCGOVrhBOgSgsLufTOO9V4Zwha/VDpEjhtfNb27Wme\n7YaEc3Lww/jGEg7pC9Y9IXDMfQljDUXS3hci+ngBkr4ebOt2JVJOthfpHvs1xJeRhfCiZIr0DkEg\nHvXryI2gCbmZuGiTd5AbwhCA7GxoSP++sK93bybm5pJfUEDfYcPUA+8GqEeudDrmlZQ0x4g7A5YF\nvNSjByc1NTERPxRwK2JsdwG/CowxE1k0dES93SrgNiRBIspnkUSapxCjvTxwziLCnrFrwBA13Fci\nHndfxOueANxOuLnEvIRzp+On4Y9H0vp7Iin9/YHBSLjh3lNPpdCYcO313FwaRo3imvnz1XhnKOqR\nK12CoDYe1H5v/OhHeW//fh5cty5USbCMcClYkOiOoDfvmguPw9eiv0O6lj0d34iPQWp1B+cC6Yb3\nQaRPp1ucXIto8i4mfDByMzoucr2xSPr/VyLnXhS41hOIVNOfcCPoaUiUS8mddzLr+99nzxtvcHJ9\nPV+pr6do1SrKbrhB5qzGvFugPTuVTkdSfZW+w4bRm3A5WBDD+AH+oiGIIdyMLHamEMN+MVL4ai/i\nVReR3tsS4Gwk6/MW7/gg7pzLES/7TqTwlvvW0Ohd83HE+H4PWXydT3ovzRWIZHMPfnTKLNKbHu8l\nvZTAUiCntpaiceMYcMIJLKuvb45Rh5YrRCpdD/XIlWNKXMJPtL7KYuD3PXrQ649/5FCMJgyiGe/G\nj/92xaacYRsH/AWJ+bZI42NXazsa1leJr58fJN1rfxo/1HEa4g1Fa6OAVDgsQsrVzkIMeor0iJLN\n+GUBovsgOWomx3tsa4VIpeuhhlw5ZiQ1jSi5805K7ryT8oULeXPtWvq/+y5PNjVBU1NztEmU7cgi\nZSHxcd8ubT4YpeIWIINVB7+KxIe75KEGpLznlxBPPdharQrJBB2Mr3eHkm68x9H42aZJSUzg1z5f\nEtmf9LW5zymnAC1XiFS6CdbaDvmRoRUlmbKxY62FtJ95JSXNx1w1aFBo37NgSyPHf8/bPgXsIrBz\nY/Z/MeY6FuwEsD8AOw/s5d62qTHXuCryOm4epd52C3Z6YE7PRs6bB3Yi2Csi+6aD/TTYmYE5LfLG\niF5r5oAB9tmnnrLWWvvsU0/Z0sLC8HsuLGzer2QWnu1sk71Vj1w5ZjhJIFiQqgHYtnFj8zE968JF\naJ3HexmSgdmI6NmViJTxO6Ti4CRv32BEy96UMIczCTdhnkZ6wwcQaSToLUd7a+K9noRo3xsQ/XwA\nYS/dSTmXIc0rViB6ejUSatgfiYxxzENi4IOZno3AgZEjmxcy3WN5oHKhhhx2L9SQK8eMjbt3Mw0J\nrQs2EZ6xbh2LUynW/O537Ni/P+28IsRIpkhuJOwqDS5CDGWwL2eQYNr8R5H48fNjjitCwgcnIhEp\nSbFhZyC6+lBEErmG+MiYQ8gNIwuRYIKa+7TsbJZ6awHuHzSq5af69QvPz2uooXRP1JArx4Sqigr6\nbd5ML8IZmJVAfl0dT/37vzMUyYKcAvw0cG4pfsPioGfszu8J3IF4w8FWaNEGyF9HsiMnedfJQRY5\nk3T4c5DY8TuIb4sGsohagN/VxxnfLyHfHDYj4YXb+/Rh/t69aefvz8rin8vKKH/+efZs2kT1G29A\nU1Pacap/K0HUkCsfOi79ftT27byJGFmI96yvQaI+grLCpYhRnIIsYEKyZx6NTBmLVA2sQySYTyFy\nTjAb1HXwiS5KDkfivh8nfuFyOmLE3Th3InVVqhEP/hAi0fwmP5/+BQWwahVRBowezcxAZ63FqRQz\nbruNJQGJSYteKVE0s1P5UImNVEEiQ6K6NIjhG0x6OdrlwCtIcs+jJNdgcbW+HZcjMsYvCUeHlCGy\nissGDWWUIiVvdxPu3emOeRe5obwK/Bty03DRKE/jR7lcYQz9Tz2Vnv360efQITZXVzOrrs5vEJFQ\nE0U793Qv2r1D0FFORg25kkYw/T7IJOKbKUxENOfHg2MgRnsaEhN+PGJoUzHnpyLbJwCnk9yirYmw\njDMXWONdoykyj+g1LvOO24Ok1Q9BpBhnqK87+WSGZGeHU+rz8rCnnsqQ4cPVQCuApugrGUBS8kp6\n/3bBIvJEUMZwf7TXIHr1HpIXH4Na9jQkZT7pj344krTzRfxkm93eGE2I9p50jWuBm/HrocfdKHbv\n3ctPItUcl9TVUT58OPOffjphdEU5PJqir7SZqooK5pWUkCouZl5JCVUVFa0+d+vu3bHb8/HLvzqm\nI9KKS4ufgHi+a/EXNnsgPTld3fEgs5D+mhO8n1qkvsqrCXNbi9wcfo0Y7jMQg96ApNfHXWMqUo/l\nEH5xrbExx03Py6N/fn7sdTUDUzla1CNX2kRSNqYjmm4flQriUt5LEUO7DNG09yDRHQfwy8+6jjwp\nRMd+EIlASQX2g78o+irS0Dgo4lzvPX4EMcDBZhDTCRerGhUY+4rAfNcQLmc7GTHgW5CbzSxv/jn4\n+v7avDwu+s53eP8vf4HXXyeKRqAoR4sacqVNxLVfW1BdzbTyck7cvTvWwAeN+fB+/biYcE0Utxi4\nBqhAClWdjp/y7rxbV3Pkffwwwmg9b2eIJxA21CCx6uVIPe/FiP7uPO+vEo7TDkoy/QPP3ydchdBd\nd3Lg+lXAPQMGMPzcc2nMzWWWp31XVVSEasiARqAo7YMacqVNJGncezdsYGltbWjbgupqyr0KfM5T\nX7tmDReTXhOlCsm+DIo0zoCXIA2Gj0OKX/UKHBMXKjgNCQOM4038hg4zgZ8junlS42KQGHNH0j9M\nI+FQxxUXXEAqontrBqbSUaghV9pEUoGm+K2wdePGNClmRnY25zY0cD1+RmdSyvtkpJ3aMKTm93LC\nC5tBScWFAQ4C3kiYTzAl/+tIidge3nX2A/X4WZaOifjJREmVCE9BPPUiYEqPHgweOJB5JSVpMpNm\nYCodgYYfKm0iTiMvLSxkZ79+LPYSXIK1U17KzubJmNKzlxlDvbV8CtG01xPuqen4CiJtLMaPBlkM\nrCYcB/51RJcejHjpa5D476C84jztoJH+HPAJZKHTyTlPIOn4jmlIk4nNwMtIWGGwf6cb905vDgeB\ngVlZ/KTRF2jKCgsp0b6ZSivQ8EOlw0mSBwDKbriBkurqUIZlKqF++AnWUoBozveTnBZfiHjaIH+s\nToIJdtV5BTHAriFDGeLB70USgAYiESsuWSdIT6QP5qjAtl2EM0l3IIunQ4DvIglG0UzTIuTbxcPe\ne7mlMaiy+zKTGnKlI1BDrrSZluSBRZPDne+TpIhDSNieAcb16IFpamIa4ezOKUh8tsu2bCAswUQb\nQjhKkMzN4KLkF0g34njXfweRVU73xo8ukoIk+zQBiwcNot/xx9O0bl0oY7QUX0tP+qfSMEOlo9A4\ncqXdKBo3jlFnnx3aFoyprkK81WuQglY3Ipp1QVNTcxPkWcDXkEXNbUjIYT0SLjgW3zuPkhV4XklY\ndsG71tTItlJvey4wEngrYfwqJHP0QG4uA0eM4DNXX01Nfn6oRVyN974g+ealYYZKR6EeudKuRBdD\ng63WggWlwC836xY8hyOG8Yuk69DXIXHmexKuGxQy0msK+mVo4ySRJYhG/03C2jj4dV0eAaivh1Wr\nKNu9m49Pn86zd9/NqO3beQU4EbnpVCIlbNNi5TXMUOlAdLFTOWqCfTc37t5Nv82bub2mpnn/XMRQ\nPhFzbjlSHXAGkm7/OBIl8kjMsZcjnnFfwh63a9FWFDjuSdKZQHoMuJtDE34N86DGn1iMq6SES2bP\n5oFp0zi+piZ0AygDVvfqxYgzz2Rw375a6EppEx2y2GmM+SniUG211p7jbUshi/nbvMO+Z63VYhHd\nkLgolqn5+Yzv25eP7dnDRiSSo0/cuYhOXock6fQHrkSkjjg+jt9MohzpOt8DWfy8FfhP77Ulvvfl\nRST3zCwiXCmxHHgrK4vcfv0gEh8PoncXjRvHIwUFoZsW3vizzjyTRS+9lPBOFKV9aY1G/jPC+REg\n/yu3W2vP837UiHdT4jI976+pYdjpp/Nefj4nIouVIwP7qxAv4GHE8/4tkgg0EvHe03sCCU4+KUIM\nbh5wKmI4f4/cAC5BZA4X1ZICxgPrgD8jqfTj8LXtYDhiVmT8E0aP5qTz4/oF+Xr3kEinHsfgvn1j\ntytKR3BYj9xa+5wxZmTMrja5/krXJCnTc3DfvmwtKGCB5626Rc8SRLrIJ12yWIAsdn4LiQsPauTT\nvcdgt/qdyAJmsD6KC2eEcJTKeOAmb9tM4kveBnX2rwPnX345Z59/fotp9drBXukMHM1i52xjzDXA\n34BvWWt3ttOclAwiqZphY24uQwKvnVFdhOjUqYTx3GJmLWLUtyMGdnZgjDIktX4wYWPdQMt/0P+B\nJO3sRhY27w7sm4UU6boG0eCzgM3PP9/crScprX7snDlaP0U55hypIb8H+KH3fD4iT0aju0gFWlYV\nFxdTXFx8hJdTOgvBhc2tu3dTs359s6ftsjnX5ORw8YUXSrW/AK6CISSH6J2MdN05iBj9mfhx5I4F\n+J1+gowlPerEcRDpufkj4PM9e/LBSScxqbaWxv372XvgACchUTWX4Hf1ecaL+24pbl7rpyhHy8qV\nK1m5cuVRjdGqqBVPWnnSLXa2Zp9GrXQ9ggubLg3/XeADJOQuGFp4U34+p02fztv33sv4mppmI/83\n4ClEJ38YP/QQ/IXHpcCFyCJmT+K99y8jN4O5+F55KfA/iG4el0LvwhfNqafySHV1801p1f/8D2P2\n7WsOS3RdfcpLSrThg/Kh86Gl6BtjCqy1m72XVwKvHck4SmbhFjajjY7jQvRur6lh1pNPctb06Tx0\n663cd1B6ALmFzqX49cejcd2P4nviv0+Yy5nIV8EpwG2IHPIBcKhnTzb26MFnDxzgnyLjusiU2tpa\nFqdSbHroodD7CWVqqjyiZBCtCT98GIncOsEY8x7wA6DYGPMxJHplPf5alNJFCEoornqfW9iMVipM\n+iPau3497//lL81GHMIJQsORKJL7Aue4JhMgC5ffJjlkEKS/5uXAvtxcsg8d4tOHDrEAqXeeipnT\nVmBwbS1/WrCAMxoamkvPgldBccAARlxwgcojSkbRmqiVSTGbfxqzTekiRGPDq4BFzz1HY5YE6EX/\naJL07p179mBeeCFtexHibd+LHxOehVQgdK3d3HWCRvY94CTSKxjmAgfr68lGpJhpSFp/2vtCQq1u\nAfCKebnyAc5jT517blodcUXp7GitFSWNYGy4kx0eratjzt69lJFuuON6VJYCgxsaGL5rV+w1+njn\nuJjtFCKDPBg4xl3HHTPce4wWvxoCnI1kc6aQ0Ma5MXNaRHoNlgXI4qpDwwaVTERrrShpBGPD46oN\nLkO06Z8Gti80hlnWMhgxyDVI5UJIl0amI/W9zybc8q0JaQgxHviYN8ZN+JEoY0nP2JyOxJMvCs4/\nMFfXQ/NkkrsGuUQg1cWVTEUNuZJGMMkl+gfiJIjpiNzxDrLQ2Hj88XDqqdC3L2+vXs31tbXNxnQN\nUkb2XMRgfxXx8s9GYrr/hrRva/L2/Q0x6FlIMwfXxLgROJ5w8+OvEo6WgbAn73porgDeTni/fx8w\ngHLVxZUMRg25AoQXN2t27+am/Hxur6lJ1L+HEK5LsmjnTsoHDyb19NNMGzOGytpankGM6g6kGFaQ\nIsTz7p2Tw2OBxVDXfu0MJKSxwhgWBcJY55Fe+Koy8jrax7MI+GVuLpd997uUeZEqjtLCQq7Xzj1K\nhqOGXEksfDW5sJAdGzYwo7ExrQBVsPiOy8bMqq+nqqKCfps3h8IRryGevN69eXjfvtC2n+EXr7oq\nJ4esAQO4ftcu7vGSc+L+YMdCqClFEZL5OQtprHwS0DBqFDNTKarOP1+Td5QuhxpyJbHw1YRBg3iy\nsbE5suRNJH47GjXiav815uZSedddzdUAXdJQUg3xpH45Wd65px88yIItW5qv/05uLnt79oQ94RGL\nkJjYYEz6tfhx442FhVwzX74/aPNjpSuiUStKYuGrPC9Ez0WNDER07KARL0V069LCQi6ZPbt5LBft\ncgvS1T4uquWAiU9eW4uEJwalkfnAsvp6Bp52GmWFhaHjpxhDzoknUjtgACn8yJbrevZk83nncalK\nJ0oXRz1yJbGCX112drNXnY1Eh4wmPRtz8aBBfNUzlpV33QWEo12GAxfHnLd/5EjK6upC3wamI5LI\nM/gE57B3wwbGzJnDrCefZM8bb3ByfT3XWkvRli1Mzc9n1pgxzc0crlbZROkmqCHvxrgFzm2bNnFd\nTg4/CSw6zs3PZ+SnP80vHnuMewMd4a8DriZQ36SwkJkBj9dVA+wZMM4N+BEkQVYMG8Yls2dTvnAh\nezZtovqNN/h2UxNF+AuY0XIA1NZS9tBD2H79WBZpZnx/TQ3lo0drQo/S7VBD3k2JFsB6gLDHvBs4\n7s03Q0YcxIj/KCuLn/bpQ112Nhd97Wshr9c9XzR5MmzfDqRHkYAfsx3UrG885xyK1qwJnWMi5wEs\nqK5m8oABse9LO9Ur3RE15N2U4AJnJX4zhmZqapgUWVR03nFFYyN4GZtlDz1E1fnnpxvzBx6gzLtR\nOE98Ql4eBYWF9B02LDZapM/QoeAZ8iIk/vxPCfOPV/U1M1PpnuhiZzcluMAZdzevAg7sDzddixbL\nAvGOVyxcmHZ+0bhxlNx5J+UlJaQuuogVJSXM+tWvuOO11yi48EL+Y+JErsjO5ss9e3JNYSFVFRUi\ny3gLmVVIGdszEubfZ+TItEVPt+CqKN0N9ci7CdFqhjsCnX3ikn4qgRutDUkiSX8scXJGWvVEzwNf\nnEqxcv58zmtq8m8K69bxzauv5qoHHxTjv3Ah/3jxRR6praWKeFnGhRNqTLiiANbaDvmRoZXOwLNP\nPWVLCwutheafKfn5dm5+vrVgnwVbGthnwV6dm2st2EVgr/J+Phc5xv3MKyk57PWm5+XZb5x1lv1c\ndrYta8U4P7jooubtz4KdB/YHYCcOGGCffeqpD/kTVJQPD892tsneqkfeDUhK+Jl23nmUjx7N1o0b\n2fLuu3ylqYmmnBwYMID6bduoqq9nE35KfBXpRauu69mTHf/4BxMHDuQ4a+l9yikcBJZGrrekro7y\n11/nAK3z7IMhkcGIl/ILLlCvW1EiqCHvBiQl/Azv14+LZ89m+Q03cK9b2Ny3jxl79nBuQ0Nzo2SH\nM9W7Zg8AAAoZSURBVKYTkQzPRuDtpib+17p1vvSxahXf6Nkz1LDBkQXUkVy/PLhQOfSTn2TGM8+w\npME/enp2NqMvvPBwb1dRuh262NkNSEr4cSn1UW99SUMDm4kv+1qEGPEUsKlHD0Y1NqYtgN536FCo\nxrdjGzASSfWPZnrOGjAgtFD5/l/+wlcaGij3rlUOfLWhgc3PPx/7XhSlO6OGvBsQjAZxlBYWUnDh\nhbz34oux52QhzR/i+DtiWHfk5jIk4Zh3Iq9LkZos2UiW5yvAFcAXgavy85nw4IMhyST7wIFQ0wmX\ndq9x4oqSjkor3QBnIIMRHsMvvJBNDz3ESTt3xp7TiCTlBBs7gBjk6xGjOiEvj4ZIiKKjL+kp+evw\no09mBo4tHz06Tfdu6VuEoihh1JB3E6JV/+aVlDRndUbD+6bhl57dgDSF6Om9vggx4qWFhVz0ta/x\n0r33UlZTEzr/upwcrj54ME0jvzsrCyKZohDvZbtU/2jtcO3goyjpqCHvprgF0OasS/yuO7VIR52X\nkZZrQSN9PTCuTx++69VXqTr/fJaVlzNpwwZygD6nnMLAM87gl7/6FUWRhcrcESNg3bq0uWzbk17o\nNu5bhMaJK0o8xga6r7TrwMbYjhpbOXpmjhnD4lWrml9XAQ8D9+Cn4lcDj8ScO2nAAB7esSNx7Hkl\nJYytrGQFvrRyCbD41FMZun9/c71yEKlmS34+k5cuVSOtKIAxBmttfI3nBNQj7wZEsyyHfvKTHNi8\nOa0d2v/OyqK8sZEsYAvJYYI5h7meW6iMSitL33+fTUOHpmnnRTU1lC9cqIZcUY4QNeRdnLg2bhOe\ne45H6+qaO+84o9r75JNpMob53rEz4wZE5JOWSFqoPLm+nndra5t7fQbRaBRFOXI0/LCLExcnPqqu\nDiAtvO+ck04KFbo6eN55fDNSLnZufj4TfvjDFq85ds4cro9El5Qi8opWLVSU9kc98k5KWtGpOXOO\nSHqIy+pMkkw27t4dumZcYaorW7HgWDRuHMtGjaJ81aqwhAIsGzmSsoEDNRpFUdoRNeSdkDg5pMx7\n3lZjHidzjAVm5OWxxPPMAabk59N/82ZuCSyAllVXU3Lnncw/go4718yfz/IbbmiWaUCrFipKR6FR\nK52QeSUl3FJZmba9vKSkzUY17qZQWljI8K99jc3PP99sTLdv3RqKYjmaawavvSJgsC9Rg60oh6VD\nolaMMT8FxgFbrbXneNsGIvWUTkZyRq6y1sanCCptJqnI1ZEsCLY2HjtVXNxu1wxeWw23onQ8rZFW\nfgYsBJYFtt0MrLDW3maM+a73+uYOmF+3pL3T01tjUDUlXlEyl8NGrVhrn0OS/YJ8HunXi/c4vp3n\n1a1JKnLVkW3MjsU1FUVpH450sfNEa+0W7/kW4MR2mo/CsUlP15R4RclcWrXYaYwZCTwZ0MhrrbUD\nAvt3WGsHRs7RxU5FUZQ28mGm6G8xxuRba2uMMQXA1riDUqlU8/Pi4mKKExbUFEVRuisrV65k5cqV\nRzXGkXrktwHbrbU/MsbcDPS31t4cOUc9ckVRlDZyJB75YQ25MeZhpAz1CYge/n3gt8BjwAgSwg/V\nkCuKorSdDjHkRzEZNeSKoiht5EgMuRbNUhRFyXDUkCuKomQ4asgVRVEynA415PNKSqiqqOjISyiK\nonR7OrSM7S2VlUdcflVRFEVpHR0urSyormbFwoUdfRlFUZRuy4eikWs/RkVRlI7jQzHkWgpVURSl\n4+hwQ66lUBVFUTqWDl3sLC8p0VKoiqIoHYym6CuKonQiNEVfURSlG6KGXFEUJcNRQ64oipLhqCFX\nFEXJcNSQK4qiZDhqyBVFUTIcNeSKoigZjhpyRVGUDEcNuaIoSoajhlxRFCXDUUOuKIqS4aghVxRF\nyXDUkCuKomQ4asgVRVEyHDXkiqIoGY4ackVRlAxHDbmiKEqGc1St3owxG4DdQCNwyFp7QXtMSlEU\nRWk9R+uRW6DYWnteVzPiK1euPNZTOCp0/scWnf+xI5PnfqS0h7TSpt5ymUKm/zHo/I8tOv9jRybP\n/UhpD4/8D8aYvxljrmuPCSmKoiht46g0cuBT1trNxpjBwApjzJvW2ufaY2KKoihK6zDW2vYZyJgf\nAHuttf/pvW6fgRVFUboZ1to2SdZH7JEbY3oBWdbaPcaY3sBY4N+PdCKKoijKkXE00sqJwG+MMW6c\nX1hrK9tlVoqiKEqraTdpRVEURTk2dEhmpzHmUmPMm8aYfxhjvtsR1+hIjDEbjDGrjTGrjDEvHuv5\nHA5jzE+NMVuMMa8Ftg00xqwwxrxljKk0xvQ/lnNsiYT5p4wxG73fwSpjzKXHco5JGGNOMsb8yRjz\nujFmjTFmjrc9Iz7/FuafKZ9/rjHmBWPMK8aYN4wxt3rbM+XzT5p/mz7/dvfIjTFZwN+BfwU2AX8F\nJllr17brhToQY8x64OPW2h3Hei6twRjzL8BeYJm19hxv223AB9ba27yb6QBr7c3Hcp5JJMz/B8Ae\na+3tx3Ryh8EYkw/kW2tfMcb0AV4CxgNfJwM+/xbmfxUZ8PmDrNdZa/cbY7KBPwP/BnyeDPj8IXH+\nn6ENn39HeOQXAG9bazdYaw8BjwBXdMB1OpqMWaz1Qj5rI5s/DzzgPX8A+efslCTMHzLgd2CtrbHW\nvuI93wusBYaRIZ9/C/OHDPj8Aay1+72nOUAW8reUEZ8/JM4f2vD5d4QhHwa8F3i9Ef8PI1PoColO\nJ1prt3jPtyCL05nGbGPMq8aY+zvrV+MgxpiRwHnAC2Tg5x+Y//Pepoz4/I0xPYwxryCf85+sta+T\nQZ9/wvyhDZ9/RxjyrrB6+ilr7XnAZ4FZ3lf/jMWKfpZpv5d7gFOAjwGbgf88ttNpGU+W+DVwg7V2\nT3BfJnz+3vz/C5n/XjLo87fWNllrPwYMB4qMMZ+O7O/Un3/M/Itp4+ffEYZ8E3BS4PVJiFeeMVhr\nN3uP24DfIHJRprHF0z8xxhQAW4/xfNqEtXar9QCW0ol/B8aYnogRf9Ba+4S3OWM+/8D8H3Lzz6TP\n32Gt3QVUAB8ngz5/R2D+n2jr598RhvxvwOnGmJHGmBxgAvC7DrhOh2CM6WWM6es9d4lOr7V8Vqfk\nd8Bk7/lk4IkWju10eP98jivppL8DI4kU9wNvWGvvCOzKiM8/af4Z9Pmf4GQHY0wecAmwisz5/GPn\n725CHof9/DskjtwY81ngDkS4v99ae2u7X6SDMMacgnjh4Cc6der5G2MeBi4CTkB0tu8DvwUeA0YA\nG4CrrLU7j9UcWyJm/j8AipGvlRZYD0wPaJ6dBmPMPwNVwGr8r+/fA14kAz7/hPmXApPIjM//HGQx\ns4f386C19sfGmIFkxuefNP9ltOHz14QgRVGUDEdbvSmKomQ4asgVRVEyHDXkiqIoGY4ackVRlAxH\nDbmiKEqGo4ZcURQlw1FDriiKkuGoIVcURclw/j8kSc3szWjLegAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de0d6210>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"wei_add_df_1 = pd.DataFrame(data=map(lambda x: wei_c(3*x*b, DEF_N)/((3*b) ** a), x), index=x, columns=['data'])\n",
"analysis_df(wei_add_df_1)"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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MNo7rWE6ZYieigwGcA+BqFekFtQqiXOz//Z+9LfJwqXh5WGm4FzZ22lJHjAD+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\nKUYlonmdfLK9HdYSV22Kue226Od6yRq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"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de2f1b10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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6ywXEjWPCl5wf5SdXfmH9+vSHsqO2eeCdkP1lfdU1Xo1MeqOQjNOdeMke5F5+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\ngsXNIPEXLB8p4OWfvK7RxuCXEILcJ39TZ1VZUbkkVO2UbSH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J4GrihTIWr5n9bUGOhY2p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VOUGtsWRUJ2cshWvZoiRZdAa2M3R/tHO8TYpw4YkBj3vSzh9QmFhYlxYje2bbW8Z5Acp5/t7PNl\nwnrv60BfbmLhC0nWKv8ScQ1yX4x3ZiTG3NJ8gI3jJ92PRc45FyGx/gn4Y+6upvpV5vqj200sLPR+\nVj5db59G+roVK/SE/HzvWCcWFurbxozRi8rLvfHudStW6EXl5Vm3yYZsMfbm9NxTpGgvcBQx9mY9\ndqXUOESqOwdYqiP9TpVSJyIChkXICuDftNY/auP5x4sPlUq8gF4Jr+c3+P0xW8gULcKZTHJ8fC8S\noliF8MRBPPSXkLj1z51toxooFj2Je4i+GG+03L452QAXgxB2TLbt3SrTHPwx93cQT992goo2iF4A\n9C8q8p6npawUV8UzynGPFiH5zvFRmCt239X33MN7W7Ywqa6OIkOrTCtJU3QlZDXsSqkcpNjyi0g0\n4s9KqV9prTc5m90ErNdaf8cY+VeVUsu11kkr2qNGlKesBw5k065d3m0/zM8HT3Vjfa7/kvcmnHMf\nEsbw4TQknj+bcMu7icRDK2ckHKORQPbAVq62xGhnozBG0beF208F9IABnLZ7t3fbUwhLBhQTLqYa\nB6weNsyzp6Alhjeq4mmPzRlnHBPDmlaQpugOaC55egHwhtb6b1rrwwiR4rLINrUEGlT9gJ3tZdSf\nmTuX26uqyKxbx+1VVfQ9cID63r2b+p5azCsqovyWW2IJvAUlJYy56abY6xWI3kqUzWJFrhqBGyLv\nWZ3xw4S91inIZJAhzNIpSzjGLcjk0B+Jo09F+O0+bHAe2x6jLuYhVbIuKpCkaR3xJOx05MPLYKpQ\nBwzgwrlzqRs5kumesUaTn28r1dT/dDGwqqSEiz+i8JWr4uke+6QsE0aKFCnCyFp5qpT6KlCutb7e\nPJ8CfFZr/Q1nmx5IPu4shCAxQWv9W8+xdLZzNYekSsSKkSMB2O9pTFy9ciWrnaW/LWixr+/dupU3\nXn6ZW7RuaoZtKyFfQTzx7xEwbj5N4EHaispxCF1xO2Kc+yGVmBZupWoF4uX+FekAbo9hYbsc7UPK\n8F3NmBuA/4EY4hzgZSRR+tnImAD+PyT0UoAssz5j/luJ3xykO1JUZgCgsrycxatW8fn8fE46eJBz\nEKGzQsICZAuAV884g3PPPDN2fz8K0grRFCnCaI/K05ZY4gXAC1rrsUqpEmC1UupTWutYdCNjysUB\nxo4dS4/9+1vcJzKJpzysXz8ya9d63/Mtq91wTm1tLZ/ROhRGsY8z5vHPECOai4Rk3FDEAiRGfh+B\nPnpUTsBWqtrK0VLEq19MHG5v0GoCOYBNBHFtF5clHGc1wvKhTx8KzzqL7f368e6ePSzbswe9dSun\nHTzImZ7jQUDpu/rWW1m7eDGNR45wMlKF6oZG6oqKmLtkSZsb21QpMcXxjrVr17I2waa1FM0Z9q2E\nFWFPIWh/afF3mDyX1rpGKfUmYqOeix7MNeyt7aDUFjxle85yU4SST3LYw8aeCxCaX2/isrXjkEQp\nBF69D28jYRNrSD9o5pyYbZ9GRMHy8RvhIuJqkJZ+mAM0/v3fs3jVqqb3FpWXc7u5x0lNQuz9tJot\n1ffeS15DA/sbG3n75JM5fdgwyMvj2nY0tmmcO8XxjLFjxzJ27Nim5//0T//U+oNko8wgtqoGqWHp\nhazKz4lscxdwm3l8MmL4B3mOFaLwtLYEvCV0uXUrVuiFZWX6hvPO0xMKC/XcESP0wrKypm0WlpXF\nqGzrDJUwdFwCiYAbQI8DfZ+HAncDIiswj3gpfxIF8TsJx4qWzNsxLCKZKmnpmC490x5jQn5+jJ43\nd8SIrJTKlNKXIkXnA21Nd9RaNyilbkKq0nOAZVrrTUqpmeb9h4B/AR5RSr2IJGNv0Vq/39yE0toS\n8OaW6K43/igigJW7cycNGzfy6IYNsHQp+7Zti1EJ3VZrVqHxBPPfDX9cj4RF3H6qiqB70WokVOOy\nWyDcyu5lxCv/FwhJDO9EOjv9AElWuMJfw5CEaJK+eg5SYeuqQc40SolRr7e2tjZ23ZXAq7m5fPwL\nX0hDHilSdBN0mGxvUjLUJu9ag+qVK7lv2jSe3rmTCuLStguBjUVF5H3wAefU13slbL+KaMtcjFB/\n7vdscwliSAcTxMuvM3/WUFYjIZQ6/AnSOQivPAcp9+8PHO7Zk4IRIxj1la9Q++yz7N26ldqaGubU\n1zepPrqJ3Uaz72+cczYlfT1NJyxmjhjBiS+/HKsc3XneeTy0caPnitsP2SR2U6RIEeBokqcdphVT\n9s1veumIraXLWU/9nJ07AWGU+Bo5H6mrY059fWJM/TCBUd9JXFAMhF3ySwgJUj1CXMNkANIxyCfe\nNdi8fgi5+R8CBw8fZsdLL/GXX/2Ki7/xDX7w0kvM+elPWV1eTk1vKZ0qNeNrQAz4CQR0R0sNPFRS\nkrWIZ/DQoSEdm0pkZXCsqYQ+6uozc+dSvXLlMR1HihTdFq2N3RztH5EYu9YfvQRc6yBWb0vspybE\no682/+/zxNRvQEr7Y1Ktkbi3GyufQCCVe4Pz+sLI/+jfJCcWvihy3JmgL+3ZU984cqRet2KFXrdi\nhb4kNzcxJj4d9MQzzmjx/WtpWX97oy0kdlOkOF5AW8fY2xttwX6wsXpbsJPEOLECWLMJ4ts5wJ8I\nQiw+T9+W8UfFrs4hoCZOJ2jGYW+oT1hrAcJiiR7PVpQ+CFQePszi9euZUVFBf+BbDQ1NImPR8S0D\nKs88k0wLQ1edhUrYFhK7KVKkSEaXVneEMA2yP9JRaD7hIqF5iKGdlZ/Pg0ZmQCP6672QxOX2hOO/\nRhCycMMqLjXxh0jydQ0BfTJaFv9HxDj3QkI37vHcY1kjX1xXF+LEuwlZF601hp2BSpj2H02Ron3R\n5Q27lWtVNTUhY24Nqq0gXVVSwienTGHS44/Td/NmljrbXo8UGkX7ppYBJyJsl6jYleu9g8S8QXjv\nFTk5LG1sbCp4WoBIFvwF0Wb38c4trJF3P5hSMy4fuqIxbAuJ3RQpUiSjyxt2630uu+YaMIJgbgXp\ntf37s3r06KaQw7Y//IHbN4d7JT0MXJSXx+MHD4b00mchHZJGEEwUz+XkcIsx2i5OJQjNXFNQwJwz\nzqDnoUNN7Ba7/RSkGcZwpPrrG85YXSMfFdvxhna6qDHsLCGhFCm6LVoblD/aPzzJ07ZESxNyt40Z\n491u4sCB/v3dJGt+flNfT19Bk++861as0BMKC0P67m6R0GyTUL0scozrior0vKKi0DGvM9tfk5en\nZ48alRYTpUhxHICuljxtS7R0eZ8U3/W/KnIAGQLp2NmZDNXnn9/kbb66YQM37toV8+Bt7Lt0/Hh4\n9NEm+YSMs427spgJPDBwIGs++UkaTck+iFe7d+tW6mpr6V9UxKBhw5iYercpUqTIgm5j2Fu6vE+a\nAPr069cUynHhhlgqDd/bTUAuKi+n1FNo5ca+3bG9/qc/ec9zEnDSBRfEGC6pAU+RIkVr0WGVpx0J\nn5wvEJeLJWCvJEnHtlZmtnrlSn5RUcFddXWh89QVFXHt0qWpIU+RIkUIR1N5elwa9iS4Bn/H3r18\nqDXD+vVrVms8Sfc923me/u532ffmmxwC+gwfztTFi1OjniJFihhSw54iRYoU3Qzt0WijS+FYCUul\nAlYpUqTozOg2hr21jTs6+3lSpEiR4mjRYeqObY2qJUtCxhbgjpoaVt9zT5c8T4oUKVIcLZo17Eqp\ncUqpV5RSryulbvW8/z+VUuvN30tKqQal1ID2GW4yjpWwVCpglSJFis6OrIZdKZUD3Iuw/s4FJiul\nznG30Vr/m9Z6pNZ6JPAdYK3Wend7DTgJRyMsdTQNY9tbwOqjNrFtD3TGMUHnHFc6ppYhHVP7ojmP\n/QLgDa3137TWh5E+FJdl2f5rwJNtNbjW4GgadxzNB9lWDULackztjc44Juic40rH1DKkY2pfNJc8\nHQq84zzfAnzWt6FSqjdQjogpHnMcK2GpVMAqRYoUnR3NGfbWEM8vBf5fR4RhLI6V1nhn0DRPkSJF\niiRkLVBSSo0GMlrrceb5d4AjWut/9Wz7c+BprfVTCcdKq5NSpEiR4ijQppWnSqlc4FXgC8A2pJPc\nZK31psh2/ZGGRMO01vWtHXSKFClSpGg7ZA3FaK0blFI3Ac8gfSaWaa03KaVmmvcfMpteDjyTGvUU\nKVKk6HgcM62YFClSpEhxbNDmlaedsaCpBWM6USm1Sin1glJqo1Lq2vYcTwvHNFAp9XOl1ItKqT8q\npc5r5/H8UCn1rlLqpSzbLDHjfVEpNbI9x9PScSmlzlZK/UEpdVAp9Y+dZExfN/dog1Lq90qpT3aC\nMV1mxrReKfW8Uuqijh6Ts935xg5c2dFjUkqNVUp94NioRe09ppaMyxnbemOj1mY9YGtbLmX7Q8I1\nbyAtPXsCLwDnZNn+EuD/tOUYjmZMSC+N/2UenwjsBHI7eEx3ApXm8cePwX36B2Ak8FLC+18GfmMe\nfxZ4tj3H04pxDQY+A9wO/GMnGdOFQH/zeNyxuFctGFMf5/EnkPqUDh2T2SYHWAOsAK7q6DEBY4Ff\nHYvvUSvHNQB4GcljApyY7Xht7bF3xoKmloypFuhnHvcDdmqto/2kj/WYzgH+C0Br/SowXCk1uL0G\npLX+HRBv7RTgK8CjZts/AgOUUie313haOi6t9Q6t9XPA4fYeSyvG9Aet9Qfm6R+BYZ1gTPudp32B\n9zp6TAbfAP4D2NHe44EWj6lVDJS2QAvG9TXgP7XWW8z2WT+/tjbsvoKmob4NnYKm/2zjMRzNmB4G\nzlNKbQNeBOZ2gjG9CFwJoJS6ADiNY2AgssA35o4cT1fBDOA3HT0IAKXU5UqpTcBvgW92gvEMRRya\nB8xLnSHhp4G/M2Gr3yilzu3oARmcCQxSSv2XUuo5pdQ12TZua9nezljQ1JIxLQBe0FqPVUqVAKuV\nUp/SWu/twDF9D7hbKbUeeAlYj+mp3YGIejKd4YfYaaGU+jwwHfhcR48FQGv9C+AXSql/AB5HQnwd\niR8A39Zaa6WUogM8ZQ/+ApyitT6glPoS8AvgrA4eE0jIdhRCPe8N/EEp9azW+nXfxm1t2LcCpzjP\nT0E8Ox8mcWx0ZVoypr8D7gDQWtcopd5EvvTPddSYzKQy3T43Y9rcTuNpCaJjHmZeS+GBSZg+DIzT\nWje39D+m0Fr/TimVq5Qq1Frv7MChfBp4Smw6JwJfUkod1lr/qqMG5DpzWuvfKqXuV0oN0lq/31Fj\nMngHeE8LpbxeKVUNfArwGva2DsU8B5yplBqulOoFTARiH5IpaCoFftnG5z/aMb0CfNGM7WTEqLen\nEW12TEqp/uY9lFLXA+u01vvacUzN4VfAVDOe0cBurfW7HTieKDqDtweAUupU4GfAFK31Gx09HgCl\nVInxilFKjQLoYKOO1voMrfXpWuvTkTj7jR1p1EF+/859ugChhHe0UQexlX+vlMoxYezPAn9N2rhN\nPXbdCQuaWjimfwEeUUq9iEx2t7Tnh9nCMZ0L/EiJFMNGJFbbblBKPQmMAU5USr0D3IYs/9BaP6S1\n/o1S6stKqTeA/cB17Tmelo5LKVUE/BlJeh9RSs0Fzm3PSbC5MQHfBQYCDxgbcVhrfUF7jaeFY7oK\nmKqUOgzsQ1bM7YoWjOmYowVj+ipwo1KqATjAMbhPLRmX1voVpdQqYANwBHhYa51o2NMCpRQpUqTo\nZug2rfFSpEiRIoUgNewpUqRI0c2QGvYUKVKk6GZIDXuKFClSdDOkhj1FihQpuhlSw54iRYoU3Qyp\nYU+RIkWKbobUsKdIkSJFN8P/D1V47CYw3yIjAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa8de3e60d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x_without_zero = x[1:]\n",
"wei_add_df_2 = pd.DataFrame(data=map(lambda x: wei_c(x, DEF_N)/wei_c(0.5*x*b, DEF_N), x_without_zero), index=x_without_zero, columns=['data'])\n",
"analysis_df(wei_add_df_2)"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1.6094379124341003"
]
},
"execution_count": 131,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"log(5)"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<function math.sqrt>"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
}
],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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