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@c4t4r
Created February 19, 2024 02:38
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "b67a863c-4702-4064-8ab0-272244d9adae",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 480x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x = np.linspace(0, 1, 10)\n",
"y = np.linspace(0, 1, 10)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = np.sqrt(X**2 + Y**2)\n",
"\n",
"plt.figure(figsize=(4.8, 4.8))\n",
"plt.contourf(X, Y, Z)\n",
"plt.grid()\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "5acb3b75-cf8b-46f5-a548-5fffcf4b13b7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"x = np.linspace(0, 5, 10) # [0, 0.55, 1.11, 1.66, 2.22, 2.77, 3.33, 3.88, 4.44, 5]\n",
"y = np.exp(x) # [1, 1.74, 3.03, 5.29, 9.22, 16.08, 28.03, 48.85, 85.15, 148.41]\n",
"\n",
"plt.plot(x, y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "db5aa24e-cc25-4150-a28c-6f4de9b7f6c2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x =[5, 7, 8, 7, 2, 17, 2, 9,\n",
" 4, 11, 12, 9, 6] \n",
" \n",
"y =[99, 86, 87, 88, 100, 86, \n",
" 103, 87, 94, 78, 77, 85, 86]\n",
" \n",
"plt.scatter(x, y, c =\"blue\")\n",
" \n",
"# To show the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1223e79d-f9db-47ac-8bc7-56c9ead55629",
"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",
"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": "5db4ad46-33ed-4df3-b6df-e383cb8855f8",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.11.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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