matplotlib.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x=np.linspace(5,100,100)\n",
    "y=np.linspace(10,1000,100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x143922ca580>]"
      ]
     },
     "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": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([1,4,6,8],[3,8,3,5])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y)\n",
    "plt.xlabel('current')\n",
    "plt.ylabel('voltage')\n",
    "plt.title('Ohm\\'s law')\n",
    "\n",
    "plt.xlim([20,80])\n",
    "plt.ylim([200,800])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(0,10,20)\n",
    "y=x*2\n",
    "\n",
    "plt.plot(x,y,'r+')\n",
    "\n",
    "plt.xlabel('current')\n",
    "plt.ylabel('voltage')\n",
    "plt.title('ohm\\'s law')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(0,5,10)\n",
    "y=np.linspace(3,6,10)\n",
    "\n",
    "plt.plot(x,y,'r-',x,y**2,'b+',x,y**3,'g^')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(1,10,100)\n",
    "y=np.log(x)\n",
    "\n",
    "plt.figure(1)\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.title('y=logx')\n",
    "plt.plot(x,y)\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.title('y=logx**2')\n",
    "plt.plot(x,y**2)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(1,10,100)\n",
    "\n",
    "plt.figure(1)\n",
    "\n",
    "plt.subplot(2,2,1)\n",
    "plt.title('Linear')\n",
    "plt.plot(x,x)\n",
    "\n",
    "plt.subplot(2,2,2)\n",
    "plt.title('Cubic')\n",
    "plt.plot(x,x**3)\n",
    "\n",
    "plt.figure(2)\n",
    "\n",
    "plt.subplot(2,2,1)\n",
    "plt.title('log')\n",
    "plt.plot(x,np.log(x))\n",
    "\n",
    "plt.subplot(2,2,2)\n",
    "plt.title('exponential')\n",
    "plt.plot(x,np.exp(x))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAIEAAABvCAYAAADL7qOiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAMoklEQVR4nO2de3BU1R3HP78kJEDIgxggEAgJEqWggCGCFh/gk6Ktj2pFa7X1wfiodjr+oTh2dHR81mnV8dGioqgt6ij4BlRkUKoIARTCS0IkEEISAiaQEBKS/fWPe2hvQrLLvrK7yfnM7Oy553V/u/vdc+6ec3+/FVXF0rOJi7QBlshjRWCxIrBYEViwIrBgRWDBigAAEXlARN6ItB2RoluLQETyReSQ+wMWkSkiUh5Ju6KNbi0C4DlgVaSNCCcikhBsH91WBCIyA6gFlrjykoGFwBARqTePIaY4UUReE5EDIrJBRAq99K0icqeIlIpIjYj8VUTiTFmciNwnImUiUm36TDNlc0XkLpPONv3cZo5Hisg+ERFzfLGIfCcitSLytYiMdZ1/u4jcLSLrgIaghaCq3e4BpAI/AMOAB4A3XGVTgPJ29R8ADgHTgXjgUWCFl/4VWApkADnmXDeZshuAEmAE0A+YD7zuKvvQpK8BtgFvucreN+kCoBqYZOy5HtgOJJny7cB35vX1Cfb96q4jwUPAy6q60482y1X1E1VtBV4Hxvmo/7iq7lPVHcBTwNUm/7fA31S1VFXrgVnADPNtXQacaUaNs4AngMmm3dmmHOBm4J+q+q2qtqrqXKAJOM11/mdUdaeqNvrxGjuk24lARMYD5wF/97NppSt9EOjtY5h1C6wMODKtDDHH7rIEYJCqbgPqgfHAmcBHQIWInEhbEQwH7jJTQa2I1OJ864e4+vVH4F4J+qIiCpkC5AI7zPTaD4gXkdGqWoAzlIeCYcAGk84BKky6AudDxFXWAlSZ42XAFUCiqu4SkWXAdUB/nCEenA/4YVV92Mv5Q7f9G+n5OwzXA32BLNfjSeAdYIApHwU0Amntrgnc1w255k1O8HJNsMR8cMOAzcBMU3YTsBXIwxHgO+36ngnsx5muAC4yxx+76hTiCGESIECyqZfiuiY4L1TvWbcbCVT1IM5wDoCI1AOHVHWPKd8sIvOAUhGJB0YHeKr3gdVAGvAq8LLJn4MzbH8J9AYWA3e42i0DUkw5wHIc4R45RlWLRORm4FkgH0e0y911QokYZVn8QEQUyFfVkkjbEgq63YWhxX+sCCx2OrDYkcDCMYhAROaYNfBiV16GiHwmIlvNc39X2SwRKRGRLSJyoSt/goisN2XPuNbIk0TkLZP/rYjkhvYlWnzhczoQkbNwVrleU9WTTN4TwD5VfUxE7gH6q+rdIjIamAdMxPmZ9Dlwgqq2ishK4E/ACuATnGXPhWYDZayq3mI2fS5T1at8GZ6Zmam5ubkBvuyewerVq2tUdYDPise4AJMLFLuOtwCDTXowsMWkZwGzXPUWA6ebOptd+VfjrI3/r45JJwA1GHF6e0yYMEEtbak92NzmGCjSMG4gDVLV3UZEu4GBJj+btmva5SYv26Tb57dpo6otQB1wXIB29VhKqg9Q8NBnLCqu9F25HaG+MJQO8tRLvrc2R3cuMlNEikSkaM+ePQGa2D1ZuL6SVo8yfli6320DFUGViAwGMM/VJr8cZy39CENxNlTKTbp9fps2ZtcuDdjX0UlVdbaqFqpq4YABvqe6nsQnxZVMGN6frLTefrcNVAQf4NzogHl+35U/w1zx5+Gse680U8YBETnN/Cq4rl2bI31dAXxh5jPLMVK2t4FNu/fzi5OyAmrvcwPJbLZMATLNDZr3A48Bb4vIjcAO4EoAVd0gIm8DG3G2T29X5yYNgFtxNlr64NzitdDkvwy8LiIlOCPAjIBeSQ9mobkOuHBMmESgqld3UnRuJ/UfBo7aB1fVIuCkDvIPYURkCYyP1+1m3NA0hmX0Dai9XTGMcX6saWD9rjp+OW6I78qdYEUQ43z4fQUicPFYK4Ieiary4fcVnJqbEdCvgiNYEcQwGyr2s7W6nl8FMRWAFUFMM3/NLhLj47h47OCg+rEiiFFaWj188H0F54waSHrfxKD6siKIUb7aWkNNfROXFWT7ruwDK4IY5a1VOzkuOZGpJw70XdkHVgQxSE19E59vquLygmwSE4L/CK0IYpAFa3bR4lF+UzjMd+VjwIogxlBV5q3cQUFOOvmDUkLSpxVBjPH1tr2U1jRw7WnDfVc+RqwIYow3VpSR3rcX008Obm3AjRVBDLG7rpFPN1Zx5YSh9O4VH7J+rQhiiNe+KUNVue703JD2a0UQIzQ2tzJv5Q7OHz0o4PsGOsOKIEZ4d005tQcP84fJeSHv24ogBmj1KC9+Vcq4oWlMyssIef9WBDHA4g2VlO09yC1nH4/x3gspVgRRjqry3NIS8jKTuSDAG0l9EZQITFDF9SboYpHJC5mzqgWWbKpmQ8V+bptyPPFx4XlbQjESTFXV8ap6JALoPcASVc3HCe50D4BxVp0BjAGmAc+bmEEAL+AEdMo3j2khsCvmUVWe+WIrORl9ufSU4LeMOyMc08ElwFyTngtc6sp/U1WbVPVHnKifE40HU6qqfmOcTl5ztenRfLaxinXldfxx6kh6xYdv5g62ZwU+FZHVIjLT5IXSWbXH0upRnvx0CyMGJHN5CG4c8UawIewmq2qFiAwEPhORzV7qBuKs2rYDR2gzAXJycvy1NaZYsHYXP1TV89w1BSSEcRSAIEcCVa0wz9XAApzgFKF0Vm1/vh7hkNrY3MqTi7cwbmhawP6F/hCwCEQkWURSjqSBC4BiQuus2iOZ/WUplfsPcd/Fo4kL0y8CN8FMB4OABebXXALwb1VdJCKrCJ2zao9j576DvLCshOknZ3FqbuhXBzsiYBGoaikdhINX1b2EyFm1J/LQRxsRhPsuCjTarv/YFcMoYvGGSj7dWMWd5+YzJL1Pl53XiiBKqGs8zF/eK+Zng1O56czQ7xR6w4ogSnjww43U1Dfx+K9PDuvCUEdYEUQBi4oreXdNObdPHcnYof4HngoWK4IIU1HbyD3z13FSdip3nJMfERusCCLI4VYPd85by+EWD8/MOCUk3kSB0O3++SSWePjjTRSV/cTTM8YzYkC/iNlhR4II8XbRTl79ejs3TM7jkvGR3S+zIogAX5fUcO/89ZwxMpN7p4+KtDlWBF3N+vI6Zr6+mhEDknn+2vDvEB4LkbegB7Gl8gDXv7KStD69mHvDRFJ794q0SYAVQZexsWI/V7+4gl7xwhs3TWJwWtctC/vCiqAL+LZ0L1fN/oakhDjenHk6eZnJkTapDVYEYWb+mnJ+9/JKBqYk8c6tP486AYBdJwgbzS0eHl24iVf+s53TRxzHC9cWBB1lLFxYEYSBbXvq+fNb37GuvI4bJucxa/qoLt8U8gcrghDS3OLhpeWlPPX5VpIT4/nHtROY1gX3CAaLFUEIUFWWbKrmkYWbKN3TwLQxWTx4yRgGpgYeb7grsSIIAo9HWbqlmmeXlrB2Ry15mcnM+X0h54waFGnT/MKKIAD2NTSzYO0u/rWijNKaBrLT+/DIZSdzZeHQqJ77OyNqRCAi04CngXjgJVV9LMImtaFq/yGWbq5m0YZKlm+tocX889hTV43norGDY/LDP0JUiMA4pj4HnI/jjLJKRD5Q1Y2RsKe5xcO2PfUU76pj7c5aVv64j5LqegCy0/tw4xl5XFaQzais1EiYF3KiQgQ4nksl5jZ2RORNHAfWkIlAVWk83EpDUysNTS3UNR7mp4PN7K1vpvpAE7vrGin/qZGyvQ2U7T1Ii8fxhEtJSqBgeH+unDCUs04YwKislLAEiogk0SKCjpxVJx1Lw0XFu3nkk80oiiqogkeVFo/S0uqhpVVpavXQ3OLx2k9K7wSy0/swcmA/LhyTxYlZKYwZksqIzH5d4gUUSaJFBMfklNqRQ2pGchIFOemICOLUIT4O4uOEhLg4EuKFxIQ4eifE0ycxnr6J8fRLSiC1dy/6JyeSkZzIwJQkkpOi5a3oeqLllXfmrNoGVZ0NzAYoLCxUgIl5GUwMQzCnnkS0XNKuAvJFJE9EEnEimnwQYZt6DBIt/0grItOBp3B+Is4xfove6u8ByrrCNi9kAjURtqE9bpuGq6pPH/6oEUEsIiJFrlhNUUEgNkXLdGCJIFYEFiuCIJkdaQM6wG+b7DWBxY4EFiuCgOgonG8EbJgjItUiUuzK6zSksDesCAKnfTjfruZVjg7/22FIYV9YEcQoqvolsK9ddmchhb1iRRAYHYXzjQY6CynslWjZQIo1jgrna76ZMYkdCQKgk3C+0UBnIYW9YkXgJ17C+UYDnYUU9opdLPITERmB8+2H/4fz9brjGSY75gFTcHYNq4D7gfeAt4EcTEhhVW1/8Xh0X1YEFjsdWKwILFYEFqwILFgRWLAisGBFYMGKwAL8F1u47BiAE8TVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGcAAABvCAYAAADxEt6UAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAIpUlEQVR4nO2db4xUVxmHn9/ustv9A023CxYQ2EqJtLQW7FaqWGK1MbUGi0kxEqNNxFA/adUPJa0KiSGNIVqTamIxkqVKaTStWo0aEU1tRUx3yTZAaQsBimQXmKWlzO4sMzuzrx/uXTrsLsydO3tnb2fOk9zMnDvnPfed+5vzzrnv/XNkZjjiSc1UO+C4PE6cGOPEiTFOnBjjxIkxTpwY48SJMVUnjqRNktonWN95BZuNkkzS3RG6No6qEUfSI5Lu9It1kh6VdIekLZJu8es0SXpc0vw8u4XA/UBf2Z02s1guwBzgWSABHAO+AbQCJ4FVfp0W4AjwFb/cCfwc2AUkgReABf5nzcBm4DXg78Dn/fVtwE+BN4HngJVj/PgLcC9wHLi7nPsglj1HUg3wR+AVYC7wKeAh4Hbgq8AvJM0CHgd6zOypPPMvAT/A2+k9wI68zyzvNVdovaQ1QMbM/jw536xIIvzlbwPOAAcC1F0J7AOyeCFkOXACuAtvB/cAvf7nq4EngP3+umvz2ukEnskrt+Dt7HnAI/52NgE3AN8F7gC2ALf4ts14gs/3bQ8D1/ttHafMPSdKcVYCHw4oTjvwIeApX5wv+EKcy1uSQAZo8nemAZvHtNMJbBmzLgEszytvAton8KFzTPlHwPfzypUjTt5OP5BXXgj8FegGXgQWT7Bz7wc+Chwe89l6vBBVC+wBtgNvATeMsZ+w54TwvQfoB075S87f3sOVKs5uYJH/fjnwj8uIU+sL+DDQ6Jf/C3wL+J4vTq0fqvYAtXn254GPA/V+iNoT0vdrgevylv8Ba4CWcolTtgGBpBbgY8BvJfUATwKzJ6prZjlgFbAUb6R2Fi9EXgV8G290lgN+iBfeNuSZPw1sxPuV34Y3QCgaMztrZqdGF7ye87aZDYRpLwx15doQ3jHVOTNbGqSymfUCawEkfRNYYmaPAY/l1ckBK8aY9pvZ1yfH5Uv8aZ/sNgtRtp5jZueBY/7wFHncGtB8LbAzMudiSmTiSNoJ/Af4oKSTktbhhZh1kl4BDgL3+XVvl3QSL6Y/KelgXjvteEPhF6LyNa7I//NzxJBYZggcHk6cGBPJaK2trc3a29ujaLoi6O7u7jezmYXqRSJOe3s7XV1dUTT9niQ3YtTW6GJZ0ptB7FxYKwMP/qqLVU+8VLSdE6cMpDI5GuqK39VOnDIwmMnRWF9btJ0TpwwMZbI01xf/9+7EKQOD6RxNrufEk6HhHE0NEYgjaZ6kf0o6JOmgnyF2FEEqk6UpRFgLYpEFvmNm+yRNB7ol7TKzV4veWhWSGzEuDI/QOC2CnmNmfWa2z3+fBA7hXRHjCMDQsHcxT3MUYS0fP32/DO+U8djP1kvqktSVSCSKdqRSSaWzADRGOVrzTzM/Czzknzi7BDPbamYdZtYxc2bBtFHVkMr4PSeq0ZqkaXjC7DCz54reShUzmPF6TiRDaUkCfgkcMrMfF72FKmfI7zlRhbUVwJeBT0rq8Zd7i95SlVJKWCsop5m9BKhQPcfEpDKjAwKXIYgd7/Ycl1uLHYO+OC63FkOGXFiLL6mLPceFtdgxehY0/xqCoDhxIiaVydLcEO46GidOxKTSuVAZaXDiRE4qkwuVkQYnTuQMZrKhUjfgxImcoUyOJhfW4okLazEm5cJafEllcqEy0uDEiZxUyKs9wYkTKWbmXxblxIkd6ewIIxYurwbBTlNvk3RG0oFQW6hizqWGAZjROC2UfZCe0wncE6r1Kqd/IA3ArOkNoeyDXFT4L7ynYTiKJJH0xJkZlThBcRcVjueiOC1TLI67qHA8iYGY9BzHeBLJNNMb6rjK5dbiR2IgHbrXQLCh9ETPsHEEIJFM01aCOEEuKlwbuvUqpz+Z5sY5M0Lbu7AWIYlkOvRIDZw4kXFhOEcynY32P8cRjlIPQMGJExmlHuOAEycySs0OgBMnMvrODQHhk57gxImMQ31Jrmma5sJaHDnY9w43z70a767NcDhxIiCTHeH1U0mWzLm6pHacOBHwxukkwzljSQnZAXDiRMKrvd5jGm6e63pO7DjQ+w4tDXUsaG0qqR0nziRjZuw9epYlc2ZQE+KGqXycOJPMvhNv88bpAVYvK/3ZTU6cSWbH3hO0NNTxuVvnlNxW0Gff3CPpdUlHJG0obFGdHOsf5E/7+1i9bE7oWw3zCXImtBb4GfAZ4CZgraSbSt5yhfHWYIZ1nS/TXF/LgysXTkqbQeT9CHDEzI4CSHoGb2qVqn5SoZlx/kKWo4kBXjzcz7Z/HyOVzvHrry1nXomjtFGCiDMXb76yUU7izbdWkLVb99L3zlAYv6aMsRPWmIFhjIx4gmRHjExuhMF0luHcu7XvXNTGo5+9kcXXlXbgmU8QcSYaD46bdEfSerwZCZk/35s9ePHs6cyaET7xN1WM/cKSkKBGoq5G1NfV0NxQR2tTPfNaG7ltQWtJCc7LEUSck3gzP43yfrzJUy/BzLYCWwE6OjoMYOOqJZPgYvUSZLT2MrBI0vWS6oEvAs9H65YDAk4L5j/87id4c3NuM7PNBeon8Cbinira8CZgjRP5Pi0IMn9ORc7ZJqnLzDqm2o98wvjkMgQxxokTYypVnK1T7cAEFO1TRf7nVAqV2nMqgooTR9JxSfv9519PyZSLE92BLqlV0i5Jh/3Xawq1U3Hi+NxlZkuncDjdyfg70DcAu81sEbDbL1+RShVnSrnMHej3Adv999uB1YXaqURxDPibpG4/GRsX3mdmfeDNSQTMKmQQyQy7U8wKM+uVNAvYJek1/5f8nqPieo6Z9fqvZ4Df4Z0sjAOnJc0G8F/PFDKoKHEkNfvzyiGpGfg0EJdn9jwPPOC/fwD4QyGDijoIlfQBvN4CXsh+ulAGPSI/dgKfwMtEnwY2Ar8HfgPMB04Aa8zsio+tqShxKo2KCmuVhhMnxjhxYowTJ8Y4cWKMEyfGOHFijBMnxvwf7P7NFylCWL4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.linspace(1,10,50)\n",
    "\n",
    "plt.figure(1)\n",
    "\n",
    "plt.subplot(3,4,1)\n",
    "plt.title('linear')\n",
    "plt.plot(x,x)\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,2)\n",
    "plt.title('sqr')\n",
    "plt.plot(x,x**2)\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,3)\n",
    "plt.title('cub')\n",
    "plt.plot(x,x**3)\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,4)\n",
    "plt.title('4th power')\n",
    "plt.plot(x,x**4)\n",
    "plt.show()\n",
    "\n",
    "plt.figure(2)\n",
    "\n",
    "plt.subplot(3,4,1)\n",
    "plt.title('logx')\n",
    "plt.plot(x,np.log(x))\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,2)\n",
    "plt.title('logx**2')\n",
    "plt.plot(x,np.log(x)**2)\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,3)\n",
    "plt.title('logx**3')\n",
    "plt.plot(x,np.log(x)**3)\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,4)\n",
    "plt.title('logx**4')\n",
    "plt.plot(x,np.log(x)**4)\n",
    "plt.show()\n",
    "\n",
    "plt.figure(3)\n",
    "\n",
    "plt.subplot(3,4,1)\n",
    "plt.title('exp')\n",
    "plt.plot(x,np.exp(x))\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,2)\n",
    "plt.title('exp**2')\n",
    "plt.plot(x,np.exp(x)**2)\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,3)\n",
    "plt.title('exp**3')\n",
    "plt.plot(x,np.exp(x)**3)\n",
    "plt.show()\n",
    "\n",
    "plt.subplot(3,4,4)\n",
    "plt.title('exp**4')\n",
    "plt.plot(x,np.exp(x)**4)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Ord_id</th>\n",
       "      <th>Prod_id</th>\n",
       "      <th>Ship_id</th>\n",
       "      <th>Cust_id</th>\n",
       "      <th>Sales</th>\n",
       "      <th>Discount</th>\n",
       "      <th>Order_Quantity</th>\n",
       "      <th>Profit</th>\n",
       "      <th>Shipping_Cost</th>\n",
       "      <th>Product_Base_Margin</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2738</th>\n",
       "      <td>Ord_3084</td>\n",
       "      <td>Prod_17</td>\n",
       "      <td>SHP_4279</td>\n",
       "      <td>Cust_1151</td>\n",
       "      <td>89061.05</td>\n",
       "      <td>0.00</td>\n",
       "      <td>13</td>\n",
       "      <td>27220.69</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3784</th>\n",
       "      <td>Ord_2338</td>\n",
       "      <td>Prod_17</td>\n",
       "      <td>SHP_3207</td>\n",
       "      <td>Cust_932</td>\n",
       "      <td>45923.76</td>\n",
       "      <td>0.07</td>\n",
       "      <td>7</td>\n",
       "      <td>102.61</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1835</th>\n",
       "      <td>Ord_3875</td>\n",
       "      <td>Prod_17</td>\n",
       "      <td>SHP_5370</td>\n",
       "      <td>Cust_1351</td>\n",
       "      <td>41343.21</td>\n",
       "      <td>0.09</td>\n",
       "      <td>8</td>\n",
       "      <td>3852.19</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2349</th>\n",
       "      <td>Ord_2373</td>\n",
       "      <td>Prod_14</td>\n",
       "      <td>SHP_3259</td>\n",
       "      <td>Cust_942</td>\n",
       "      <td>33367.85</td>\n",
       "      <td>0.01</td>\n",
       "      <td>9</td>\n",
       "      <td>3992.52</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4399</th>\n",
       "      <td>Ord_4614</td>\n",
       "      <td>Prod_14</td>\n",
       "      <td>SHP_6423</td>\n",
       "      <td>Cust_1571</td>\n",
       "      <td>29884.60</td>\n",
       "      <td>0.05</td>\n",
       "      <td>49</td>\n",
       "      <td>12748.86</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7547</th>\n",
       "      <td>Ord_3170</td>\n",
       "      <td>Prod_10</td>\n",
       "      <td>SHP_4400</td>\n",
       "      <td>Cust_1162</td>\n",
       "      <td>29345.27</td>\n",
       "      <td>0.03</td>\n",
       "      <td>34</td>\n",
       "      <td>7497.55</td>\n",
       "      <td>44.55</td>\n",
       "      <td>0.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6037</th>\n",
       "      <td>Ord_3727</td>\n",
       "      <td>Prod_17</td>\n",
       "      <td>SHP_5171</td>\n",
       "      <td>Cust_1310</td>\n",
       "      <td>29186.49</td>\n",
       "      <td>0.05</td>\n",
       "      <td>38</td>\n",
       "      <td>11562.08</td>\n",
       "      <td>55.30</td>\n",
       "      <td>0.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6245</th>\n",
       "      <td>Ord_997</td>\n",
       "      <td>Prod_14</td>\n",
       "      <td>SHP_1379</td>\n",
       "      <td>Cust_365</td>\n",
       "      <td>28761.52</td>\n",
       "      <td>0.04</td>\n",
       "      <td>8</td>\n",
       "      <td>285.11</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2253</th>\n",
       "      <td>Ord_3143</td>\n",
       "      <td>Prod_14</td>\n",
       "      <td>SHP_4362</td>\n",
       "      <td>Cust_1170</td>\n",
       "      <td>28664.52</td>\n",
       "      <td>0.09</td>\n",
       "      <td>50</td>\n",
       "      <td>13340.26</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8217</th>\n",
       "      <td>Ord_3359</td>\n",
       "      <td>Prod_10</td>\n",
       "      <td>SHP_7245</td>\n",
       "      <td>Cust_1762</td>\n",
       "      <td>28389.14</td>\n",
       "      <td>0.07</td>\n",
       "      <td>33</td>\n",
       "      <td>7132.18</td>\n",
       "      <td>44.55</td>\n",
       "      <td>0.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>385</th>\n",
       "      <td>Ord_3707</td>\n",
       "      <td>Prod_17</td>\n",
       "      <td>SHP_5136</td>\n",
       "      <td>Cust_1307</td>\n",
       "      <td>28359.40</td>\n",
       "      <td>0.05</td>\n",
       "      <td>49</td>\n",
       "      <td>14440.39</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7091</th>\n",
       "      <td>Ord_911</td>\n",
       "      <td>Prod_10</td>\n",
       "      <td>SHP_1255</td>\n",
       "      <td>Cust_302</td>\n",
       "      <td>28180.08</td>\n",
       "      <td>0.02</td>\n",
       "      <td>32</td>\n",
       "      <td>7513.88</td>\n",
       "      <td>44.55</td>\n",
       "      <td>0.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7318</th>\n",
       "      <td>Ord_546</td>\n",
       "      <td>Prod_14</td>\n",
       "      <td>SHP_858</td>\n",
       "      <td>Cust_198</td>\n",
       "      <td>27875.54</td>\n",
       "      <td>0.00</td>\n",
       "      <td>46</td>\n",
       "      <td>-635.69</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5042</th>\n",
       "      <td>Ord_2425</td>\n",
       "      <td>Prod_14</td>\n",
       "      <td>SHP_3329</td>\n",
       "      <td>Cust_934</td>\n",
       "      <td>27820.34</td>\n",
       "      <td>0.08</td>\n",
       "      <td>48</td>\n",
       "      <td>11630.15</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6660</th>\n",
       "      <td>Ord_5425</td>\n",
       "      <td>Prod_14</td>\n",
       "      <td>SHP_7580</td>\n",
       "      <td>Cust_1799</td>\n",
       "      <td>27720.98</td>\n",
       "      <td>0.07</td>\n",
       "      <td>46</td>\n",
       "      <td>11984.40</td>\n",
       "      <td>24.49</td>\n",
       "      <td>0.37</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        Ord_id  Prod_id   Ship_id    Cust_id     Sales  Discount  \\\n",
       "2738  Ord_3084  Prod_17  SHP_4279  Cust_1151  89061.05      0.00   \n",
       "3784  Ord_2338  Prod_17  SHP_3207   Cust_932  45923.76      0.07   \n",
       "1835  Ord_3875  Prod_17  SHP_5370  Cust_1351  41343.21      0.09   \n",
       "2349  Ord_2373  Prod_14  SHP_3259   Cust_942  33367.85      0.01   \n",
       "4399  Ord_4614  Prod_14  SHP_6423  Cust_1571  29884.60      0.05   \n",
       "7547  Ord_3170  Prod_10  SHP_4400  Cust_1162  29345.27      0.03   \n",
       "6037  Ord_3727  Prod_17  SHP_5171  Cust_1310  29186.49      0.05   \n",
       "6245   Ord_997  Prod_14  SHP_1379   Cust_365  28761.52      0.04   \n",
       "2253  Ord_3143  Prod_14  SHP_4362  Cust_1170  28664.52      0.09   \n",
       "8217  Ord_3359  Prod_10  SHP_7245  Cust_1762  28389.14      0.07   \n",
       "385   Ord_3707  Prod_17  SHP_5136  Cust_1307  28359.40      0.05   \n",
       "7091   Ord_911  Prod_10  SHP_1255   Cust_302  28180.08      0.02   \n",
       "7318   Ord_546  Prod_14   SHP_858   Cust_198  27875.54      0.00   \n",
       "5042  Ord_2425  Prod_14  SHP_3329   Cust_934  27820.34      0.08   \n",
       "6660  Ord_5425  Prod_14  SHP_7580  Cust_1799  27720.98      0.07   \n",
       "\n",
       "      Order_Quantity    Profit  Shipping_Cost  Product_Base_Margin  \n",
       "2738              13  27220.69          24.49                 0.39  \n",
       "3784               7    102.61          24.49                 0.39  \n",
       "1835               8   3852.19          24.49                 0.39  \n",
       "2349               9   3992.52          24.49                 0.37  \n",
       "4399              49  12748.86          24.49                 0.44  \n",
       "7547              34   7497.55          44.55                 0.62  \n",
       "6037              38  11562.08          55.30                 0.40  \n",
       "6245               8    285.11          24.49                 0.37  \n",
       "2253              50  13340.26          24.49                 0.37  \n",
       "8217              33   7132.18          44.55                 0.62  \n",
       "385               49  14440.39          24.49                 0.37  \n",
       "7091              32   7513.88          44.55                 0.62  \n",
       "7318              46   -635.69          24.49                 0.44  \n",
       "5042              48  11630.15          24.49                 0.37  \n",
       "6660              46  11984.40          24.49                 0.37  "
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=pd.read_csv('./global_sales_data/market_fact.csv')\n",
    "df.sort_values(by='Sales', ascending=False).head(15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.boxplot(df['Order_Quantity'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.boxplot(df[\"Sales\"])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count     8399.000000\n",
       "mean      1775.878179\n",
       "std       3585.050525\n",
       "min          2.240000\n",
       "25%        143.195000\n",
       "50%        449.420000\n",
       "75%       1709.320000\n",
       "max      89061.050000\n",
       "Name: Sales, dtype: float64"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Sales'].describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(1,2,1)\n",
    "plt.boxplot(df['Sales'])\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.boxplot(df['Sales'])\n",
    "plt.yscale('log')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df['Sales'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df[\"Sales\"])\n",
    "plt.yscale('log')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df['Sales'],df['Profit'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image=plt.imread('country_analysis.png')\n",
    "plt.imshow(image)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "numpy.ndarray"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(766, 891, 4)"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "float32\n"
     ]
    }
   ],
   "source": [
    "print(image.dtype)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        ...,\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.]],\n",
       "\n",
       "       [[1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        ...,\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.]],\n",
       "\n",
       "       [[1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        ...,\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        ...,\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.]],\n",
       "\n",
       "       [[1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        ...,\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.]],\n",
       "\n",
       "       [[1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        ...,\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.],\n",
       "        [1., 1., 1., 1.]]], dtype=float32)"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image"
   ]
  },
  {
   "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}