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@robinhuud15
Created February 23, 2024 02:42
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Robin.ipynb
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 8,
"id": "d2ff70a9",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 480x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"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()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "47b4642b",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 2,
"id": "0798eed4",
"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": 3,
"id": "27fe4d0f",
"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.scatter(x1, y1,marker='o', color='tab:green', label='y1')\n",
"plt.scatter(x2, y2, marker='^', color='tab:green', label='y2')\n",
"plt.scatter(x3, y3, marker='s', color='tab:blue', label='y3')\n",
"plt.scatter(x4, y4, marker='*', color='tab:pink', label='y4')\n",
"plt.legend()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9d491cc7",
"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": 5,
"id": "60b5fee3",
"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": 6,
"id": "78f0b371",
"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()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "a23edf8c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 480x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X2 = X[4:13,2:8]\n",
"Y2 = Y[4:13,2:8]\n",
"Z2 = Z[4:13,2:8]\n",
"\n",
"plt.figure(figsize=(4.8, 4.8))\n",
"\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"\n",
"plt.contour(X2, Y2, Z2).clabel()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "71fea884",
"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": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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