tegarhermans/exercise2_4.ipynb Secret

## exercise2_4.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7b11b5a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2614166f",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = [\n",
    "    [1, 2, 3, 4],\n",
    "    [1, 2, 3, 4],\n",
    "    [1, 2, 3, 4],\n",
    "    [1, 2, 3, 4],\n",
    "]\n",
    "Y = [\n",
    "    [1, 1, 1, 1],\n",
    "    [2, 2, 2, 2],\n",
    "    [3, 3, 3, 3],\n",
    "    [4, 4, 4, 4],\n",
    "]\n",
    "Z = [\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 1, 1, 1],\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9b373812",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "levels = np.arange(0, 2 + 0.2, 0.2)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cb598d40",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z = [\n",
    "    [1, 1, 2, 2],\n",
    "    [1, 1, 2, 2],\n",
    "    [1, 1, 2, 2],\n",
    "    [1, 1, 2, 2],\n",
    "]\n",
    "levels = np.arange(0, 2 + 0.2, 0.2)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d464e121",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z = [\n",
    "    [1, 1, 2, 2],\n",
    "    [1, 1, 2, 2],\n",
    "    [2, 2, 3, 3],\n",
    "    [2, 2, 3, 3],\n",
    "]\n",
    "levels = np.arange(0, 3 + 0.5, 0.5)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "db39840f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z = np.add(X, Y)\n",
    "levels = np.arange(0, 8 + 0.5, 0.5)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ba377693",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z = np.subtract(X, Y)\n",
    "levels = np.arange(-3, 3 + 0.5, 0.5)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d2680cab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z = np.sqrt(np.array(X)**2 + np.array(Y)**2)\n",
    "\n",
    "levels = np.arange(-3, 6 + 0.5, 0.5)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c2eb02db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Z = np.sqrt((np.array(X)-2.5)**2 + (np.array(Y)-2.5)**2)\n",
    "\n",
    "levels = np.arange(-3, 4 + 0.5, 0.5)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0c21b4e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 460x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(1, 4, 20)\n",
    "y = np.linspace(1, 4, 20)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = np.sqrt((X - 2.5)**2 + (Y - 2.5)**2)\n",
    "\n",
    "levels = np.arange(-3, 4 + 0.5, 0.5)\n",
    "plt.figure(figsize=(4.6, 4))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "\n",
    "plt.contourf(X, Y, Z, levels=levels)\n",
    "plt.colorbar()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a5b77c9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import cm\n",
    "\n",
    "x = np.linspace(1, 4, 20)\n",
    "y = np.linspace(1, 4, 20)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = np.sqrt((X - 2.5)**2 + (Y - 2.5)**2)\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "plt.subplot(2, 3, 1)\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "plt.title('cm.jet')\n",
    "plt.contourf(X, Y, Z, cmap=cm.jet)\n",
    "\n",
    "plt.subplot(2, 3, 2)\n",
    "plt.grid()\n",
    "plt.title('cm.gray')\n",
    "plt.contourf(X, Y, Z, cmap=cm.gray)\n",
    "\n",
    "plt.subplot(2, 3, 3)\n",
    "plt.grid()\n",
    "plt.title('cm.viridis')\n",
    "plt.contourf(X, Y, Z, cmap=cm.viridis)\n",
    "\n",
    "plt.subplot(2, 3, 4)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.grid()\n",
    "plt.title('cm.winter')\n",
    "plt.contourf(X, Y, Z, cmap=cm.winter)\n",
    "\n",
    "plt.subplot(2, 3, 5)\n",
    "plt.xlabel('x')\n",
    "plt.grid()\n",
    "plt.title('cm.seismic')\n",
    "plt.contourf(X, Y, Z, cmap=cm.seismic)\n",
    "\n",
    "plt.subplot(2, 3, 6)\n",
    "plt.xlabel('x')\n",
    "plt.grid()\n",
    "plt.title('cm.Set3')\n",
    "plt.contourf(X, Y, Z, cmap=cm.Set3)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "281ef784",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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