272 lines
6.4 KiB
Plaintext
272 lines
6.4 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[[1. 0. 0. ... 0. 0. 0. ]\n",
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" [1. 0. 0.05 ... 0. 0. 0. ]\n",
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" [1. 0. 0.1 ... 0. 0. 0. ]\n",
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" ...\n",
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" [1. 0.95 0.85 ... 0.61945344 0.55424781 0.49590594]\n",
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" [1. 0.95 0.9 ... 0.69447375 0.6579225 0.623295 ]\n",
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" [1. 0.95 0.95 ... 0.77378094 0.77378094 0.77378094]]\n"
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]
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},
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{
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"data": {
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"text/plain": [
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"400"
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]
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"\"\"\"\n",
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"Importations\n",
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"\"\"\"\n",
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"\n",
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"from mpl_toolkits.mplot3d import Axes3D\n",
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"import matplotlib.pyplot as plt\n",
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"from matplotlib import cm\n",
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"from matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
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"\n",
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"import pandas as pd\n",
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"import numpy as np\n",
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"from random import random, seed\n",
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"\n",
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"#plt.close()\n",
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"#fig = plt.figure()\n",
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"#ax = fig.gca(projection=\"3d\")\n",
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"\n",
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"# Make data\n",
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"\n",
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"x0 = np.arange(0, 1, 0.05)\n",
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"y0 = np.arange(0, 1, 0.05)\n",
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"\n",
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"x, y = np.meshgrid(x0,y0)\n",
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"\n",
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"def FrankeFunction(x,y):\n",
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"\tterm1 = 0.75*np.exp(-(0.25*(9*x-2)**2) - 0.25*((9*y-2)**2))\n",
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"\tterm2 = 0.75*np.exp(-((9*x+1)**2)/49.0 - 0.1*(9*y+1))\n",
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"\tterm3 = 0.5*np.exp(-(9*x-7)**2/4.0 - 0.25*((9*y-3)**2))\n",
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"\tterm4 = -0.2*np.exp(-(9*x-4)**2 - (9*y-7)**2)\n",
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"\n",
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"\treturn term1 + term2 + term3 + term4\n",
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"\n",
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"z = FrankeFunction(x, y)\n",
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"\n",
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"matrix = np.zeros((len(y0)**2,21))\n",
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"\n",
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"# First column\n",
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"\n",
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"matrix[:,0] = 1\n",
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"\n",
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"# Second column\n",
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"\n",
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"X0 = []\n",
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"for k in range(len(x0)):\n",
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"\tfor i in range(len(x0)) :\n",
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"\t\txk = x0[k]\n",
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"\t\tX0.append(xk)\n",
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"\n",
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"matrix[:,1] = X0\n",
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"\n",
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"# Third column\n",
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"\n",
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"Y0 = []\n",
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"for k in range(len(y0)) :\n",
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"\tfor i in range(len(y0)) :\n",
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"\t\tyk = x0[i]\n",
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"\t\tY0.append(yk)\n",
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"\n",
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"matrix[:,2] = Y0\n",
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"\n",
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"# Fourth column\n",
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"\n",
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"X02 = []\n",
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"for k in range(len(x0)**2):\n",
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"\tX02.append(X0[k]**2)\n",
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"\n",
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"matrix[:,3] = X02\n",
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"\n",
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"# Fifth column\n",
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"\n",
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"Y02 = []\n",
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"for k in range(len(y0)**2):\n",
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"\tY02.append(Y0[k]**2)\n",
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"\t\n",
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"matrix[:,4] = Y02\n",
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"\n",
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"# sixth column\n",
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"\n",
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"X0Y0 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX0Y0.append(X0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,5] = X0Y0\n",
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"\n",
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"#7th column\n",
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"\n",
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"X03 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX03.append(X0[k]*X0[k]*X0[k])\n",
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"\n",
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"matrix[:,6] = X03\n",
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"\n",
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"\n",
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"#8th column\n",
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"\n",
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"Y03 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tY03.append(Y0[k]*Y0[k]*Y0[k])\n",
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"\n",
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"matrix[:,7] = Y03\n",
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"\n",
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"#9th column\n",
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"\n",
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"X02Y0 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX02Y0.append(X0[k]*X0[k]*Y0[k]) \n",
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"\t\n",
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"matrix[:,8] = X02Y0\n",
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"\t\n",
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"#10th column \t\n",
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" \n",
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"X0Y02 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX0Y02.append(X0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,9] = X0Y02\n",
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"\n",
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"#11th column\n",
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"\n",
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"X04 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX04.append(X0[k]*X0[k]*X0[k]*X0[k])\n",
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"\t\n",
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"matrix[:,10] = X04\n",
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"\n",
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"#12th column\n",
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"\n",
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"Y04 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tY04.append(Y0[k]*Y0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,11] = Y04\n",
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"\n",
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"#13th column\n",
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"\n",
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"X03Y0 =[]\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX03Y0.append(X0[k]*X0[k]*X0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,12] = X03Y0\n",
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"\n",
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"#14th column\n",
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"\n",
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"X02Y02 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX02Y02.append(X0[k]*X0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,13] = X02Y02\n",
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"\n",
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"#15th column\n",
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"\n",
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"X0Y03 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX0Y03.append(X0[k]*Y0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,14] = X0Y03\n",
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"\n",
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"#16th column\n",
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"\n",
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"X05 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX05.append(X0[k]*X0[k]*X0[k]*X0[k]*X0[k])\n",
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"\t\n",
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"matrix[:,15] = X05\n",
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"\n",
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"#17th column\n",
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"\n",
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"Y05 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tY05.append(Y0[k]*Y0[k]*Y0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,16] = Y05\n",
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"\n",
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"#18th column\n",
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"\n",
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"X04Y0 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX04Y0.append(X0[k]*X0[k]*X0[k]*X0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,17] = X04Y0\n",
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"\n",
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"#19th column\n",
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"\n",
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"X03Y02 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX03Y02.append(X0[k]*X0[k]*X0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,18] = X03Y02\n",
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"\n",
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"#20th column\n",
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"\n",
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"X02Y03 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX02Y03.append(X0[k]*X0[k]*Y0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,19] = X02Y03\n",
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"\n",
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"#21th column\n",
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"\n",
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"X0Y04 = []\n",
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"for k in range(len(x0)*len(y0)):\n",
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"\tX0Y04.append(X0[k]*Y0[k]*Y0[k]*Y0[k]*Y0[k])\n",
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"\t\n",
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"matrix[:,20] = X0Y04\n",
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"\n",
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"print(matrix)\n",
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"len(matrix)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.9.12"
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}
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"nbformat": 4,
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"nbformat_minor": 4
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