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@NerdyVandheka
Created February 20, 2024 02:45
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "8e6a2462",
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "a084f768",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Police = [5, 8, 10, 9, 7, 3, 5, 8, 4]\n",
"Soldier = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"Doctor = [4, 1, 0, 1, 4, 9, 16, 25]\n",
"Writer = [8, 7, 6, 5, 4, 7, 9, 20]\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.plot(Police, '-', color='tab:blue', label='Police')\n",
"plt.plot(Soldier, ':', color='tab:pink', label='Soldier')\n",
"plt.plot(Doctor, '--', color='tab:red', label='Doctor')\n",
"plt.plot(Writer, '-.', color='tab:green', label='Writer')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "31259099",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Police1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"Police2 = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
"\n",
"Soldier1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"Soldier2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"\n",
"Doctor1 = [3, 4, 5, 6, 7, 8, 9, 10]\n",
"Doctor2 = [4, 1, 0, 1, 4, 9, 16, 25]\n",
"\n",
"Writer1 = [3, 4, 5, 6, 7]\n",
"Writer2 = [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.scatter(Police1, Police2,marker='o', color='tab:red', label='Police')\n",
"plt.scatter(Soldier1, Soldier2, marker='^', color='tab:green', label='Soldier')\n",
"plt.scatter(Doctor1, Doctor2, marker='s', color='tab:blue', label='Doctor')\n",
"plt.scatter(Writer1, Writer2, marker='*', color='tab:pink', label='Writer')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "71154217",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Police1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"Police2 = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n",
"\n",
"Soldier1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"Soldier2 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"\n",
"Doctor1 = [3, 4, 5, 6, 7, 8, 9, 10]\n",
"Doctor2 = [4, 1, 0, 1, 4, 9, 16, 25]\n",
"\n",
"Writer1 = [3, 4, 5, 6, 7]\n",
"Writer2 = [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(Police1, Police2, 'o-', color='tab:red', label='Police')\n",
"plt.plot(Soldier1, Soldier2, '^', color='tab:green', label='Soldier')\n",
"plt.plot(Doctor1, Doctor2, 's', color='tab:blue', label='Doctor')\n",
"plt.plot(Writer1, Writer2, '*-', color='tab:pink', label='Writer')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "e6f698ce",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Police = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
"Soldier = [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('Police')\n",
"plt.ylabel('Soldier')\n",
"\n",
"plt.scatter(Police, Soldier, s=s, c=c)\n",
"plt.colorbar(label='Intensity')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "44484f0c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 840x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Police = np.linspace(0, 20, 20)\n",
"Soldier = np.linspace(0, 10, 20)\n",
"X, Y = np.meshgrid(Police, Soldier)\n",
"Z = np.sqrt((X - 5)**2 + (Y - 4)**2)\n",
"\n",
"plt.figure(figsize=(8.4, 4.8))\n",
"\n",
"plt.xlabel('Police')\n",
"plt.ylabel('Soldier')\n",
"plt.grid()\n",
"\n",
"contour = plt.contour(X, Y, Z)\n",
"plt.clabel(contour)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "e418e7eb",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 480x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Police = np.linspace(0, 20, 20)\n",
"Soldier = np.linspace(0, 10, 20)\n",
"X, Y = np.meshgrid(Police, Soldier)\n",
"Z = np.sqrt((X - 5)**2 + (Y - 4)**2)\n",
"\n",
"Police_sub = X[4:13, 2:8]\n",
"Soldier_sub = Y[4:13, 2:8]\n",
"Z_sub = Z[4:13, 2:8]\n",
"\n",
"plt.figure(figsize=(4.8, 4.8))\n",
"\n",
"plt.xlabel('Police')\n",
"plt.ylabel('Soldier')\n",
"plt.grid()\n",
"\n",
"contour = plt.contour(Police_sub, Soldier_sub, Z_sub)\n",
"plt.clabel(contour)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "4d690d5c",
"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": "f84b5e78",
"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": "3.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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