From 9349a00dfb5bc8715a18ed431d8780775e3e5443 Mon Sep 17 00:00:00 2001 From: DaminiAnfat Date: Sat, 26 Mar 2022 13:11:10 +0530 Subject: [PATCH] fchsfhshfsfjh --- numpy/numpy.ipynb | 358 ++++++++++++++++++++++++++++++++++------------ 1 file changed, 264 insertions(+), 94 deletions(-) diff --git a/numpy/numpy.ipynb b/numpy/numpy.ipynb index e0894cd..42a3bea 100644 --- a/numpy/numpy.ipynb +++ b/numpy/numpy.ipynb @@ -18,9 +18,7 @@ { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np" @@ -36,9 +34,7 @@ { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -60,9 +56,7 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -85,9 +79,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -107,9 +99,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -138,9 +128,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -163,9 +151,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -184,9 +170,7 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -206,9 +190,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -228,9 +210,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -250,9 +230,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -272,9 +250,7 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -294,9 +270,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -316,9 +290,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -345,9 +317,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -365,9 +335,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -388,9 +356,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -409,9 +375,7 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -434,9 +398,7 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -469,9 +431,7 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -491,9 +451,7 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -514,9 +472,7 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -537,9 +493,7 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -559,9 +513,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -586,9 +538,7 @@ { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -617,10 +567,8 @@ }, { "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": false - }, + "execution_count": 2, + "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", @@ -634,9 +582,7 @@ { "cell_type": "code", "execution_count": 27, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { "data": { @@ -658,16 +604,14 @@ }, { "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": false - }, + "execution_count": 3, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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U1BsIuUfV++uKxVJJVlaaj6FITh6OxVLiM5aamhtJTw/ijjtsTWYNGw31CGA2qpcorn0I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\nCeD/A+OBLyXsDdF8AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, @@ -682,27 +626,253 @@ "plt.scatter(x, y)\n", "plt.show()" ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([83.71854922, 56.42008614, 49.98694964, 93.27834525, 30.27524716,\n", + " 41.76569611, 68.77139894, 53.85135531, 59.70938725, 47.94039486,\n", + " 92.2794264 , 36.65789096, 34.12233513, 42.93989704, 96.31092964,\n", + " 66.42623987, 29.29202337, 77.42591982, 23.93583307, 46.1117102 ,\n", + " 83.87098271, 31.48546596, 37.03181147, 34.55065443, 82.69943861,\n", + " 48.04544156, 55.28137272, 20.41569089, 34.44386826, 31.33208191,\n", + " 68.82291735, 16.49416034, 67.52775054, 59.26870595, 34.59416856,\n", + " 46.22618212, 43.02653129, 13.29699634, 85.87035581, 49.10256099,\n", + " 53.80913102, 55.4370286 , 97.59276738, 76.54251692, 12.44899516,\n", + " 24.13297416, 85.94900525, 65.19726131, 92.77112099, 61.05600087,\n", + " 51.97623268, 74.50004466, 12.96078586, 8.45321199, 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