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@charlesmana
Last active February 20, 2024 04:31
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exercise1_issue4.ipynb
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "4ab7ab94",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "ed235788",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y1 = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
"y2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y3 = [4, 1, 0, 1, 4, 9, 16, 25]\n",
"y4 = [8, 7, 6, 5, 4]\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.plot(y1, '-', color='tab:red', label='y1')\n",
"plt.plot(y2, ':', color='tab:green', label='y2')\n",
"plt.plot(y3, '--', color='tab:blue', label='y3')\n",
"plt.plot(y4, '-.', color='tab:pink', label='y4')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "7a1a6696",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y1 = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
"\n",
"x2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"\n",
"x3 = [3, 4, 5, 6, 7, 8, 9, 10]\n",
"y3 = [4, 1, 0, 1, 4, 9, 16, 25]\n",
"\n",
"x4 = [3, 4, 5, 6, 7]\n",
"y4 = [8, 7, 6, 5, 4]\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"\n",
"plt.plot(x1, y1, 'o-', color='tab:red', label='y1')\n",
"plt.plot(x2, y2, '^', color='tab:green', label='y2')\n",
"plt.plot(x3, y3, 's:', color='tab:blue', label='y3')\n",
"plt.plot(x4, y4, '*-.', color='tab:pink', label='y4')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "86569e89",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"y = [99, 96, 91, 84, 75, 64, 51, 64, 75, 84]\n",
"s = [50*(1+i) for i in range(10)]\n",
"\n",
"c = []\n",
"for i in range(10):\n",
" r = 0.1 * i\n",
" g = 0.5\n",
" b = 1 - 0.1 * i\n",
" c.append([r, g, b])\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"\n",
"plt.scatter(x, y, s, c)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "edf049a2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 20, 20)\n",
"y = np.linspace(0, 10, 20)\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = np.sqrt((X - 5)**2 + (Y - 4)**2)\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"\n",
"plt.contour(X, Y, Z).clabel()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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