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@ahmed2m
Last active March 8, 2019 16:41
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# This line configures matplotlib to show figures embedded in the notebook, \n",
"# instead of poping up a new window. More about that later. \n",
"\n",
"%matplotlib widget\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from mpl_toolkits import mplot3d\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"FigureCanvasNbAgg()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"Text(0.5, 0, 'z')"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib widget\n",
"# %matplotlib inline\n",
"\n",
"def f(x, y):\n",
" return 4*x + 5*y\n",
"\n",
"x = np.linspace(0, 6, 90)\n",
"y = np.linspace(0, 6, 90)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = f(X, Y)\n",
"Z[X+Y>8]=np.nan\n",
"Z[2*X+Y>14]=np.nan\n",
"Z[X+3*Y>18]=np.nan\n",
"\n",
"fig = plt.figure()\n",
"ax = plt.axes(projection='3d')\n",
"ax.plot_surface(X, Y, Z)\n",
"\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('y')\n",
"ax.set_zlabel('z')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ax.view_init(0, 20)\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 0, 'z')"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# %matplotlib widget\n",
"%matplotlib inline\n",
"\n",
"def f(x, y):\n",
" return -1*(3*((1-x)**2) * np.exp(-(x**2)-(y+1)**2)-10*(x/5-(x**3)-(y**5))*np.exp(-(x**2)-(y**2))-(1/3)*np.exp(-((x+1)**2)-(y**2)))\n",
"\n",
"x = np.linspace(-3, 3, 90)\n",
"y = np.linspace(-3, 3, 90)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = f(X, Y)\n",
"Z[X+Y>8]=np.nan\n",
"Z[2*X+Y>14]=np.nan\n",
"Z[X+3*Y>18]=np.nan\n",
"\n",
"fig = plt.figure()\n",
"ax = plt.axes(projection='3d')\n",
"ax.contour(X, Y, Z, 20, cmap=plt.cm.hot)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('y')\n",
"ax.set_zlabel('z')\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"FigureCanvasNbAgg()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"Text(0.5, 0, 'z')"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib widget\n",
"# %matplotlib inline\n",
"\n",
"def f(x, y):\n",
" return 3*( (1-x)**2 ) * np.exp( -(x**2)-(y+1)**2 ) - 10*(x/5 - (x**3) -(y**5)) * np.exp(-(x**2) - (y**2)) - (1/3)*np.exp(-((x+1)**2) -(y**2))\n",
"\n",
"x = np.arange(-3,5,0.05)\n",
"y = np.arange(-3,5,0.05)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = f(X, Y)\n",
"# Z[X+Y>8]=np.nan\n",
"# Z[2*X+Y>14]=np.nan\n",
"# Z[X+3*Y>18]=np.nan\n",
"\n",
"fig = plt.figure()\n",
"ax = plt.axes(projection='3d')\n",
"ax.contour(x, y, Z,90,zdir='Z', offset=-6,cmap=plt.cm.cool)\n",
"\n",
"ax.plot_surface(X, Y, Z,cmap=plt.cm.cool)\n",
"\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('y')\n",
"ax.set_zlabel('z')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:selected_venv]",
"language": "python",
"name": "conda-env-selected_venv-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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