random.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%config InlineBackend.figure_format=\"retina\"\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "a=np.random.randint(1,1000,20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 0.        , -3.04973446,  1.36723669,  0.03605789, -1.89333767,\n",
       "         1.31553941, -2.00974956,  1.80970666,  0.31448277, -2.48713248,\n",
       "         0.        ]),\n",
       " array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ]),\n",
       " <matplotlib.lines.Line2D at 0x7f1c6804f908>)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 263,
       "width": 386
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.angle_spectrum(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([20.,  0., 17.,  0., 13.,  0., 22.,  0., 12., 16.]),\n",
       " array([1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. , 5.5, 6. ]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 370
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(np.random.randint(1,7,100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 4.,  5.,  7.,  7., 12., 13., 15., 20., 14.,  3.]),\n",
       " array([162.24298804, 163.58675087, 164.93051371, 166.27427654,\n",
       "        167.61803937, 168.96180221, 170.30556504, 171.64932787,\n",
       "        172.99309071, 174.33685354, 175.68061637]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 380
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(np.random.normal(170,3,100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 8., 10.,  7.,  9.,  6., 11.,  6., 11., 15., 17.]),\n",
       " array([-9.69839816, -8.45129292, -7.20418768, -5.95708244, -4.7099772 ,\n",
       "        -3.46287196, -2.21576672, -0.96866148,  0.27844376,  1.525549  ,\n",
       "         2.77265424]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 370
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(np.random.uniform(-10,3,100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['cat', 'dog', 'fish', 'bird'], dtype='<U4')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pet=np.array([\"cat\",\"dog\",\"fish\",\"bird\"])\n",
    "pet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['cat', 'bird', 'dog', 'dog', 'fish', 'cat', 'bird', 'cat', 'dog',\n",
       "       'fish', 'bird', 'dog', 'dog', 'bird', 'dog', 'dog', 'fish', 'bird',\n",
       "       'cat', 'dog', 'fish', 'fish', 'fish', 'fish', 'bird', 'cat', 'dog',\n",
       "       'dog', 'dog', 'bird', 'cat', 'fish', 'dog', 'cat', 'cat', 'cat',\n",
       "       'dog', 'cat', 'cat', 'cat', 'dog', 'fish', 'bird', 'cat', 'dog',\n",
       "       'cat', 'dog', 'fish', 'dog', 'cat', 'dog', 'fish', 'cat', 'bird',\n",
       "       'bird', 'dog', 'cat', 'dog', 'fish', 'dog', 'bird', 'cat', 'bird',\n",
       "       'fish', 'bird', 'dog', 'cat', 'dog', 'cat', 'fish', 'fish', 'cat',\n",
       "       'dog', 'cat', 'cat', 'bird', 'cat', 'bird', 'fish', 'cat', 'cat',\n",
       "       'bird', 'fish', 'dog', 'dog', 'bird', 'bird', 'dog', 'cat', 'cat',\n",
       "       'dog', 'fish', 'cat', 'bird', 'cat', 'bird', 'dog', 'bird', 'dog',\n",
       "       'cat'], dtype='<U4')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c=np.random.choice(pet,size=100,replace=True,p=[.3,.3,.2,.2])\n",
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['bird' 'cat' 'dog' 'fish']\n",
      "[21 31 30 18]\n"
     ]
    }
   ],
   "source": [
    "u,counts=np.unique(c,return_counts=True)\n",
    "print(u)\n",
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 4 artists>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 250,
       "width": 370
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(u,counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}