numpy-Copy1-checkpoint.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6547b04f",
   "metadata": {},
   "source": [
    "# Numpy: Package for Multiplicational array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ed3e4cff",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5dbfa880",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5, 6])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr=np.array([1,2,3,4,5,6])\n",
    "arr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7555fc0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "list_of_lists=[[1,2,3],[4,5,6],[7,8,9]]\n",
    "sample_matrix=np.array(list_of_lists)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "05c695d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3],\n",
       "       [4, 5, 6],\n",
       "       [7, 8, 9]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e1da5e6c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(1,10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9f55a564",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
       "       17])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(18)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c0f20b6c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  6, 11, 16, 21, 26, 31, 36, 41])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(1,46,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2c1acd8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0., 0.])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c2443e02",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros(5,int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "51b40daf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros(10,dtype=int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "23d88974",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ba3a2c8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones(10,int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b22ab1bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros((2,5),int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "31d31f7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b1d90105",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5a71f901",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ceca35b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.  , 0.25, 0.5 , 0.75, 1.  ])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linspace(0,1,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "182a3525",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0.],\n",
       "       [0., 1., 0.],\n",
       "       [0., 0., 1.]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.eye(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1dd8058d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.10445247, 0.46488317],\n",
       "       [0.81033112, 0.2616601 ],\n",
       "       [0.11503873, 0.33265548]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.rand(3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "51b74a69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.01739247,  0.0114893 ],\n",
       "       [ 0.05542571, -0.69855627],\n",
       "       [-0.45085645, -0.62539428]])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randn(3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "1e99fefa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "51"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randint(34,100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "34c7a6b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([95, 70, 85, 62, 46, 83, 61, 84, 86, 44, 85, 79, 59, 47, 64, 56, 70,\n",
       "       61, 37, 41, 99, 82, 75, 42, 75, 61, 96, 79, 63, 84, 42, 48, 41, 67,\n",
       "       99, 82, 46, 98, 81, 40, 47, 38, 38, 55, 78, 85, 87, 68, 80, 66])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randint(34,100,50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "884894bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
       "       17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array=np.arange(30)\n",
    "sample_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "7fa186fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([91, 96, 31, 69, 21,  4, 36, 13, 64, 37, 84, 89, 43, 48, 39,  8, 27,\n",
       "       65, 68,  3])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rand_array=np.random.randint(0,100,20)\n",
    "rand_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "464e3b57",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.randint(1,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "565ebf29",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2,  3,  4,  5],\n",
       "       [ 6,  7,  8,  9, 10, 11],\n",
       "       [12, 13, 14, 15, 16, 17],\n",
       "       [18, 19, 20, 21, 22, 23],\n",
       "       [24, 25, 26, 27, 28, 29]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array.reshape(5,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "3b71e1eb",
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "cannot reshape array of size 30 into shape (7,4)",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_7528\\1841069951.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0msample_array\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m7\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m4\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m: cannot reshape array of size 30 into shape (7,4)"
     ]
    }
   ],
   "source": [
    "sample_array.reshape(7,4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e48aea12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rand_array.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "acfaad93",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "19"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rand_array.argmin()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "faa3f87f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('int32')"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array.dtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ea832378",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0., 0., 0.],\n",
       "       [0., 1., 0., 0., 0.],\n",
       "       [0., 0., 1., 0., 0.],\n",
       "       [0., 0., 0., 1., 0.],\n",
       "       [0., 0., 0., 0., 1.]])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a=np.eye(5)\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "711c09ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0., 0., 0.],\n",
       "       [0., 1., 0., 0., 0.],\n",
       "       [0., 0., 1., 0., 0.],\n",
       "       [0., 0., 0., 1., 0.],\n",
       "       [0., 0., 0., 0., 1.]])"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "5669600a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.82976046, 0.68419519, 0.09298434],\n",
       "       [0.58852722, 0.27648372, 0.54216615]])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a=np.random.rand(2,3)\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "146589b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.82976046, 0.58852722],\n",
       "       [0.68419519, 0.27648372],\n",
       "       [0.09298434, 0.54216615]])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "c84fa61c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array=np.arange(10,21)\n",
    "sample_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5b5f721f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array[3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "35a0e993",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([13, 14, 15, 16])"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array[3:7]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "c302e494",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1001,  100,  100,  100, 1001, 1001, 1001,   17,   18,   19,   20])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array[1:4]=100\n",
    "sample_array\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "975f0f89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 11, 12, 13, 14, 15, 16])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array[0:7]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "22922a73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 11, 12, 13, 14, 15, 16])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subset_sample_array=sample_array[0:7]\n",
    "subset_sample_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "1937cb5f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  10, 1001, 1001, 1001,   14,   15,   16])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subset_sample_array[1:4]=1001\n",
    "subset_sample_array\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "d46c1b36",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1001, 1001, 1001, 1001, 1001, 1001, 1001])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subset_sample_array[:]=1001\n",
    "subset_sample_array"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cf52951",
   "metadata": {},
   "source": [
    "# Two-Dimensional array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "49c7e0cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "bc57a87a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[50, 20,  1, 23],\n",
       "       [24, 23, 21, 33],\n",
       "       [56, 76, 24,  7]])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_matrix=np.array([[50,20,1,23],[24,23,21,33],[56,76,24,7]])\n",
    "sample_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "588fe91f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1, 21])"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_matrix[0:2,2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "fa2aea07",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([56, 76, 24,  7])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_matrix[2,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "a5f14d20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([56, 76, 24,  7])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_matrix[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "ba0c4e7e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[23,  1],\n",
       "       [33, 21],\n",
       "       [ 7, 24]])"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_matrix[:,(3,2)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "57666fa5",
   "metadata": {},
   "outputs": [],
   "source": [
    "sample_array=np.arange(1,20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "f0ea334c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "1a34e5a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2,  4,  6,  8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34,\n",
       "       36, 38])"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_array+sample_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "320fe638",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2.71828183e+00, 7.38905610e+00, 2.00855369e+01, 5.45981500e+01,\n",
       "       1.48413159e+02, 4.03428793e+02, 1.09663316e+03, 2.98095799e+03,\n",
       "       8.10308393e+03, 2.20264658e+04, 5.98741417e+04, 1.62754791e+05,\n",
       "       4.42413392e+05, 1.20260428e+06, 3.26901737e+06, 8.88611052e+06,\n",
       "       2.41549528e+07, 6.56599691e+07, 1.78482301e+08])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "19e0a477",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.        , 1.41421356, 1.73205081, 2.        , 2.23606798,\n",
       "       2.44948974, 2.64575131, 2.82842712, 3.        , 3.16227766,\n",
       "       3.31662479, 3.46410162, 3.60555128, 3.74165739, 3.87298335,\n",
       "       4.        , 4.12310563, 4.24264069, 4.35889894])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sqrt(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "bebdaf48",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.        , 0.69314718, 1.09861229, 1.38629436, 1.60943791,\n",
       "       1.79175947, 1.94591015, 2.07944154, 2.19722458, 2.30258509,\n",
       "       2.39789527, 2.48490665, 2.56494936, 2.63905733, 2.7080502 ,\n",
       "       2.77258872, 2.83321334, 2.89037176, 2.94443898])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "3e5bb8a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "19"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.max(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "3255f2d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.min(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "4a2f8391",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "18"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmax(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "7c5e50a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmin(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "66c24665",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  1,   4,   9,  16,  25,  36,  49,  64,  81, 100, 121, 144, 169,\n",
       "       196, 225, 256, 289, 324, 361], dtype=int32)"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.square(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "0d995681",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.477225575051661"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.std(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "0054328d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "30.0"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.var(sample_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "e9d7d248",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.78396067,  0.92256063, -0.31428217,  1.77679718],\n",
       "       [ 0.28348696,  1.01100297,  0.3447545 ,  1.1039014 ],\n",
       "       [ 0.47931796, -2.236087  , -0.85469946,  0.66576509]])"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "array=np.random.randn(3,4)\n",
    "array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "8afcf6d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.784,  0.923, -0.314,  1.777],\n",
       "       [ 0.283,  1.011,  0.345,  1.104],\n",
       "       [ 0.479, -2.236, -0.855,  0.666]])"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.round(array,decimals=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "d03793f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['basketball', 'cricket', 'fball', 'golf'], dtype='<U10')"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sports=np.array(['golf','cricket','fball','cricket','fball','basketball'])\n",
    "np.unique(sports)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9c4b1e30",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "44aa63b0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1ad4c309",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e6c617f1",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2bb8aec8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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