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@xiangze
Last active November 12, 2016 07:07
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import numpy as np
from matplotlib import pyplot as plt
xvec = np.linspace(-5.,5.,100)
x,y = np.meshgrid(xvec, xvec)
f=lambda x,y: (y**2-(x + 1)*x**2)
plt.figure(figsize=(6,6))
interval = [i/4 for i in range(20)]
#plt.contour(x, y, fmesh(f,xvec,xvec),interval)
CS=plt.contour(x, y, fmesh(f,xvec,xvec),interval)
plt.clabel(CS, inline=0, fontsize=10)
plt.contourf(x, y, fmesh(f,xvec,xvec))
#plt.axhline(0, color='white')
#plt.axvline(0, color='white')
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{
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: pylab import has clobbered these variables: ['plt']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n"
]
}
],
"source": [
"import numpy as np\n",
"import pylab as plt \n",
"import matplotlib.cm as cm\n",
"%pylab inline\n",
"from ipywidgets import interact"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"N=5\n",
"delta=0.1\n",
"xs= np.arange(-N, N, delta)\n",
"ys = np.arange(-N, N, delta)\n",
"X, Y = np.meshgrid(xs, ys)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def fmesh(f,xs,ys):\n",
" return [[f(x,y)for x in xs] for y in ys]"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def arithplot(f):\n",
" plt.figure(figsize=(6,6))\n",
" ticks=range(-5,5)\n",
" plt.xticks(ticks) \n",
" plt.yticks(ticks) \n",
" interval = [i/4 for i in range(30)]\n",
" CS=plt.contour(X, Y, fmesh(f,xs,xs),interval)\n",
"# plt.clabel(CS, inline=0, fontsize=10)\n",
" plt.contourf(X,Y, fmesh(f,xs,xs)) \n",
" plt.grid()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"https://commons.wikimedia.org/wiki/File:CubicCurve.svg"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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VNXHNWu7gy9r6KLFvGTU3GDu7OwHZpW+kYi+EEAC2YpUVCRlo4Y/CNDO/++sS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\nBYZH0vWfSUQnx518IwNQRbG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ye3T7tcjbCGYzA0llNBDkWmBDZ77TqeBQzdhrg7FVh+B0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GAAAg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\nhBBCCCH84P8BVw2UFPVy+9oAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10863a990>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@interact(a=(-10, 10, 2),b=(-10, 10, 2),c=(-10, 10, 2))\n",
"def plot(a,b,c):\n",
" f=lambda x,y: 4*x**3-a*x**2*y+9*x*y**2-9*y**3-36*x+36*y+10*b\n",
" # print \"y^2=x^3+%dx^2+%dx\"%(a,c)\n",
" arithplot(f)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"参考\n",
"- http://qiita.com/hoxo_m/items/5ca984d9dcac16090223\n",
"- http://matplotlib.org/examples/pylab_examples/contour_demo.html\n",
"- http://qiita.com/y__sama/items/654ed8ab7464718876f9"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
},
"widgets": {
"state": {
"973de37b9366403989694dc15a7ec137": {
"views": [
{
"cell_index": 5
}
]
}
},
"version": "1.2.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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