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simpeg/codeScraps/exSourceMD.ipynb
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{
"metadata": {
"name": "exsourcemd.ipynb"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"import sys\n",
"sys.path.append('../')\n",
"\n",
"import numpy as np\n",
"from scipy import sparse as sp\n",
"import matplotlib.pyplot as plt\n",
"from SimPEG import TensorMesh"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.kernel.zmq.pylab.backend_inline].\n",
"For more information, type 'help(pylab)'.\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Set up mesh"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x0 = np.zeros(3)\n",
"h1 = np.ones(100)*0.5\n",
"h2 = np.ones(100)*0.5\n",
"h3 = np.ones(100)*0.5\n",
"mesh = TensorMesh([h1,h2,h3],x0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Define magnetic dipole (MD) source"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def sourceMD(mesh,dipoleLoc,dimDip=3):\n",
" \"\"\"\n",
" Calculates the response from magnetic dipole source(s). \n",
" \n",
" Inputs:\n",
" mesh - tensorMesh object\n",
" dipoleLoc - an array of [n x 3] dipole locations (xyz)\n",
" dimDip - dipole dimension (e.g., x = 1,y = 2,z = 3); Default is 3.\n",
"\n",
" Outputs:\n",
" b - the magnetic field on the face grid\n",
" \"\"\"\n",
" \n",
" def getMagneticDipolePotential(loc,m,grid,dimAxis):\n",
" # Get the potential of the dipole\n",
" # Returns A(# faces x # transmitters)\n",
" \n",
" nL = grid.shape[0]\n",
" nT = loc.shape[0]\n",
" fullLoc = ones((nL,3))\n",
" A = zeros((nL,nT))\n",
" for ii in range(nT):\n",
" fullM = ones((nL,3))*m[ii,:]\n",
" br = grid - fullLoc*loc[ii,:]\n",
" cp = np.cross(fullM,br)\n",
" r = sqrt(br[:,0]**2 + br[:,1]**2 + br[:,2]**2)\n",
" A[:,ii] = ((1e-6)*cp[:,dimAxis-1])/r**3\n",
" return A\n",
" \n",
" dipoleLoc = np.atleast_2d(dipoleLoc)\n",
" dimDip = np.atleast_2d(dimDip)\n",
" m = np.zeros((dipoleLoc.shape[0],3))\n",
" if (dimDip.shape[0] == 1):\n",
" try:\n",
" m[:,dimDip-1] = 1\n",
" except IndexError:\n",
" print \"magneticSource:Error: Dipole dimension should be 1 (x), 2 (y), or 3 (z).\"\n",
" raise\n",
" elif (dimDip.shape[0] == dipoleLoc.shape[0]):\n",
" try:\n",
" for jj in range(dipoleLoc.shape[0]):\n",
" m[jj,dimDip[jj] - 1] = 1\n",
"\n",
" except IndexError:\n",
" print \"magneticSource:Error: Dipole dimension should be 1 (x), 2 (y), or 3 (z).\"\n",
" raise\n",
" else:\n",
" print \"magneticSource:Error: Dipole direction should also be vector of same length as dipole locations.\"\n",
" raise\n",
"\n",
" # Get magnetic potential at each set of orthogonal faces:\n",
" Ax = getMagneticDipolePotential(dipoleLoc,m,mesh.gridEx,1)\n",
" Ay = getMagneticDipolePotential(dipoleLoc,m,mesh.gridEy,2)\n",
" Az = getMagneticDipolePotential(dipoleLoc,m,mesh.gridEz,3)\n",
"\n",
" # Combine potential\n",
" A = concatenate((Ax, Ay, Az),axis=0)\n",
" \n",
" # B = curl A\n",
" CURL = mesh.edgeCurl\n",
" b0 = CURL*A\n",
"\n",
" return b0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 115
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Dipole location and oriention"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# make 2 dipole locations\n",
"loc = np.array([[3.2,27.1,40.1],[42.0,5,10]])\n",
"m = np.array((3,1),'i') # vertical dipole"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 112
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Test code"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"A = sourceMD(mesh,loc,m)\n",
"print A.shape\n",
"#newL = np.atleast_2d(loc)\n",
"#print newM.shape,newL.shape\n",
"#mVec = np.zeros((newL.shape[0],3))\n",
"#print mVec\n",
"#for jj in range(mVec.shape[0]):\n",
"# mVec[jj, m[jj] - 1] = 1\n",
"#print \"m: \",m,m.shape[0]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(3030000L, 2L)\n"
]
}
],
"prompt_number": 117
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Plot faces"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.colorbar(mesh.plotImage(np.log(mesh.r(A[:,0],'F','Fz','V')),'Fz'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"-c:1: RuntimeWarning: invalid value encountered in log\n",
"C:\\Users\\kdavis\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.3.1262.win-x86_64\\lib\\site-packages\\matplotlib\\figure.py:362: UserWarning: matplotlib is currently using a non-GUI backend, so cannot show the figure\n",
" \"matplotlib is currently using a non-GUI backend, \"\n"
]
},
{
"output_type": "pyout",
"prompt_number": 98,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x0000000008A1AC48>"
]
},
{
"output_type": "display_data",
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Y4R6mOKM/2tHRQWVlJZMmTWL69On88Ic/BMDn83HDDTdQUFDAjTfeSHt7u/ad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\n6AP4/83anm1o56ZNAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x86bae10>"
]
}
],
"prompt_number": 98
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.colorbar(mesh.plotImage(np.log(mesh.r(A[:,1],'F','Fz','V')),'Fz'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"-c:1: RuntimeWarning: divide by zero encountered in log\n",
"C:\\Users\\kdavis\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.3.1262.win-x86_64\\lib\\site-packages\\matplotlib\\colors.py:897: RuntimeWarning: invalid value encountered in true_divide\n",
" resdat /= (vmax - vmin)\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Users\\kdavis\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.3.1262.win-x86_64\\lib\\site-packages\\matplotlib\\colorbar.py:561: RuntimeWarning: invalid value encountered in greater\n",
" inrange = (ticks > -0.001) & (ticks < 1.001)\n",
"C:\\Users\\kdavis\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.3.1262.win-x86_64\\lib\\site-packages\\matplotlib\\colorbar.py:561: RuntimeWarning: invalid value encountered in less\n",
" inrange = (ticks > -0.001) & (ticks < 1.001)\n"
]
},
{
"output_type": "pyout",
"prompt_number": 100,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x0000000018D2BAC8>"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Users\\kdavis\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.3.1262.win-x86_64\\lib\\site-packages\\matplotlib\\colors.py:896: RuntimeWarning: invalid value encountered in subtract\n",
" resdat -= vmin\n",
"C:\\Users\\kdavis\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.3.1262.win-x86_64\\lib\\site-packages\\matplotlib\\colors.py:557: RuntimeWarning: invalid value encountered in less\n",
" cbook._putmask(xa, xa < 0.0, -1)\n"
]
},
{
"output_type": "display_data",
"png": 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fZL2zPbJWrz6ELVvG4dln/ZCVdQq/+52XVfdXWosMTBcXF2zffgIPPeSKoCAP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\n",
"text": [
"<matplotlib.figure.Figure at 0x8fe5ac8>"
]
}
],
"prompt_number": 100
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.colorbar(mesh.plotImage(np.log(mesh.r(A[:,0],'F','Fy','V')),'Fy'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 20,
"text": [
"<matplotlib.colorbar.Colorbar instance at 0x00000000342B2208>"
]
},
{
"output_type": "display_data",
"png": 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5Y/78+Zx//vmMHTuWqVOncscddwBQU1PD/PnzOeWUU/B4PFl7Dx04cODggOIL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KDLOoJomKfWsg6ynMAS22FJ7bJuoCcKEv9Ng3ld3zL71TWJM33wtyyROYcN1qiCi7OJErx4KKIz\n83ifBqL2kW5czj68lkIUJLsPwTQWvl6tJyPk5YyYj9sCCr5uBjeVtrFERDZTgoyPXnTm9xZLs46o\nj8aS0PgDPXmNVj6MRc0drKYDHgSv415oB8uL55hYMh6eoh4JjWIi7BENIqIXPSbxbhAyDT/3dRZ4\nos5eBV9yEC8KvejCfFYSJIyKbltz6Uj8knVk4mM4BVzFSVZM1JpxjIEXgQdoZIUBakxhX5PIhs4e\nevkEDjku3H5BCV4UCunKU7xLI1F0VJxGtHewjgAZjKSzi2Vbn1lxcankpZMAz4WjIJtlGGesf8WB\nY2JdbbGeoQYZnX5IvCp25h96iCXhGN00D7f7vLzew2BaSeJYFeNFoScFzGeFxZJSskbQlaspcm3H\nHxBintDIrzwZvNRJpjxm8HRTjN/lSmjufcz/XNGjL/Jd17dSEtE0jahsIAAKMhFr13cr71BtnQwn\n3tJ1FUVcQyE/YCshFB6gkHPJYESsCs0qHfRVvWzJ93NJFfw2V+Bk68hDJ4aKnsSbxUqqUF2s+N9X\nUcR1dGccu2i1Tu30mEQk7OWPUjbdkZhcZYAmsa1HIktDQEhqW7l15pDog9gea4yayWvebB5pjvK7\nepFtBTIne90cEQGPg3Mbb1GDmuCnZ55S/4yTuJYenMl2Wq3/6UiuEsxP8PNyJ5l9UYHByvGz4uMV\nZ+1nkHmMaEWbgDkZuw4EdYE8+dhYzj5M1a74rXG6JhEJKUyTfPw9X6Q5JpBl7c/CqAg2x9yaZ/MG\nFdYONtH/8Gf0Zjq9+AHbCKHwX/TgKnLpHaugIazYrPouAYIxyBY6zkps1+X0c7GcJax3pHyadDiv\nNmbGX0JcRK346wgrgpcr6OPatn5FT84gwHj1sF0GHK37+KSzh31RgQHK0VnVRFy3zMb7Ms5KFYP+\nsI/qkIcLPApLO8kM2iewp/8JLIl83MF1jE+XRFyaM2cOLb8bw6WMJorOUrYTQ6TWkazb7jE2v6IH\ngQxEDOv1RkJMJ5vOiMTd1kZ5RDRgvWZe3T7U1/z/a2zmUw7avH+wEx2JGitZO1nxDTXOExNuowIQ\nBMMcUFkHTWJKCRwa6GZNYyQqhs2qRUV3HP0672tOxZqElz95s/nP1gjzW3XAy5RKg0O9zWVe5ws+\n4yAXM5ooMd5gBwB11hGO+/72tj4MtNMmSdbRNQmvpCMhc30FfNIbF+sSRqFi8CZb0ZHbZelWTd3J\nOpcSonhQox6iqsIpKDyX4WNyBTSqsOkkk7WEz9nAfi7iVDR0lvJ1SpZzvOLtMhLCOX6WAjA1AI0x\nOLUE9lkXb+/nDX7CKUSJsYyt6IhUEbPbkmiCKyGRgWS3aQOtXEUup6PwgcUaJYsEBPhhJRwOwb4B\nbpaGzptsS2I5TXB1ZCQkAkhJbRoqC4wTZH7aGkKUDGKa5IqLN9jARvYxlTEdYsXjwhl/MQw0MM9e\ntXicmppRCWuKcLEu5DSixFysqMMo2dmXiXHhVKO1N/+5X+RLFfbGkhb5n+kbKIncfffdvP322/j9\nfs4++2weeeQR/H4/r7zyCk888YS93JYtW9i8eTMjRoxwff7BBx/kT3/6E126dAFMr4EpU6a0y/tW\nEvbSpUsZ+rtR9CKX19hGKSrQ9gDDxfTnIK0UE8aPj2HkcyU9eIfD1iUNeJtm7iKft4TOPCA000fx\nMlvx8pfWGJUxXIPzGWVUELZ55YRdN/xfQj8O0EoxKj78jCCH6XRjOQ02D2AYHlRBIk8QyEJghCwg\nKPBVClYheS5WvBxyJFbIMgCaip9nhHwej7byuhqjQJSIKTrhcFup4xMqKEelF3ksZgsVhKwNwzyP\nTNWHP6Mb71Bvt+lKMqkHtgGiIHG618PtXoUPI/BpxNmmUipopZB8FrOFUqJgn/pKLpaXACPoZLPC\nVpt2EkNHI4KIGouRbxWwdhk6FWpbGH5KGRVEKCSPxWztIKu7q10zyOYgsJ0YmZLET7JlpvlEfl2P\ny3m+klZ6ks8SvrRjMJ7UpjKIYlotF3cvQ+lsx2C8TcsIcRtRHhCy8QkttEgyd/sUVocNPlcFRMPN\nKiSP1/mKClpdO7mpDOIAYUoIoxBgOJ24kh6864j3uK42MqkgxvJoWzmvVG97fz2ldv8dC2u5NVYa\nEi/RxA3kcp+RwxtClAKPzJ2ZMqsjBmvDbYl2IyWUEaEn+bzB5g6xEmOwNzKnEeATYgyVPfwiz8dQ\nSWRKsuft/1wn+EEcgMmTJ/Poo48CMHPmTF599VVuuOEGrrrqKq666ioAtm3bxsUXX5yUrME88r/j\njju44447OsRLGxiklVZa32mdsJLI8g6u48fHx1uyZAnLli3jpZdecv3/vvvuQ5Ikfv3rXyd9Zu7c\nuWRmZnLnnXd2iHFUT8e00korrX8LaR38OU49//zzTJ06Nen/ixcv5sorr2z3c08//TTjxo3j0Ucf\nJRgMHpGRPsJOK620vtM6YUfY/2hnHdvWwNdr2l4vnuviTZo0icrK5BrNww8/bCfohx56iC1btrBk\nyRLXMuvXr2fGjBls2bIl6fMA1dXVdOnShaamJu6++24GDhzIXXfd1X470gk7rbTS+i7rhCXsv3dw\nHVccG+/FF1/k+eef54MPPsDn87ne++Uvf0lBQQG/+tWvjrqer776ilmzZvHxxx+3u8z3/+H6tNJK\nK62OSD/6IseqFStW8Pjjj/Phhx8mJetYLMbrr7/OunXr2v18RUUF3bt3R9M0Xn31Vc4///wj8tI1\n7LTSSuv/hr6BGvatt95Kc3Mz5557LqNHj2bWrFn2ex9++CFFRUWcdNJJrs/MmDGDTZtMp5N77rmH\nESNGMG7cOKLRKLfccssReemSSFpppfWd1gkriSzs4DpmfnfzU7okklZaaf3fUHoukbTSSiut74nS\nCTuttNJK63uidMJOK6200vqe6N9gtr5vLWELrzpetHe11mlmGsV0dkk0ik18z2EWauy3WK9ZnPht\nPak47bEiCcvEl2uP9QZtgaEfBysV07GMscfBcSrq6BcnK/7ZVN/9KH1ps5Y5OJqDldgmJ6u9drXD\ntFnvODhOnrNPEo11j5f1noOh4W6bc4ycY5JotHsUph0XqxPapDmWdfZhogltYvtaSLktGNsdnLiO\ntD2lYnWwfXb/fdgOK1XcpWpXez8pYvCE6Bu4re9/W99awi78memG6nT+1mMSmiaha7I9VWUs4jXN\nM8NCykTZblJyTPTS+/Kdrtnx4r/jLjJHZSUGuvN1IuuSndb63S7j8alZbZYu43JKb68NiYnDUr9L\nvrb/ds5w6OzHRNeaDrXLuaFaGnjhFlffOXlxp/kkltbmxpNyw00cP0tDzt/sGqPEtjmdf1I62ycm\npFQ7pDhrcptBoXOGvviUn/Ex6zDrCDE47JyNdlzE2+ec5vSorFQJzcmyNOqcz9qNC9vp3ukAfzTW\nEWLw1LM/ToqLeN/ZTvcniHVCFD76It91fWsJ+0uKuJVd7KCF5zmZxVTztliHqihcrORxMQEGZXuJ\nGLBSj7A0EmV5s+hKqt11+GNPGJ8JQQ2WVsI9X0IsHtCWOlPHSsa4eH+njreUanRF4iI6c0m2j0GG\nQIQYK6IaS1oMVgRlm1WgwZM9YKQfBvlhTS1MXkfSBlNANe8wjtvYzteE21hiA3rAyZLdrJBgB/OF\nXpiZD6P9piHLyip4qxwW72vj5FPHO4zjDraxk2YWMJLFVLOcWnRR5kKlKxcpCgPxETHgvViIN8K6\nqw9HITCvCwz2Wq7pjbCqCp7aDiHVzXqb8dzJV2wndOyssOxKbgUx+HIMdFWgcBlUNDpZtbzJ2dzJ\nFnbRzB8ZzetU8S61RPBarCwGBnztxsYEUWB17+SYu3EjvLCz7fU6hnIvX7CdFp5mDEuoYAV16Eic\nT3emijkMCPiIBOB9I8KbWgsrQkKSC/zNWXBdZzjZb7mml8PMDe4Y/JAR/Iov2E0d8xjLG5Sz0nKC\nv4ACfizm2awPCLM06ma9kCNzTXZymwygwHG2lU8dr3Mu97GBnTQ4WHUOVk4Sa3lQRotKdrumeOCq\nLDgny3JNr7Jc0xvcrL8zmTmsZxfNPMkZLKWUd60+PI8eNksNwCrC/CMc5t1WwWS1BCAscJ4fLsuE\n83OgIgIvFMP8rznxR8TpGvbxqV+/fvgRKaWSLDwMI8Bcagmg4SXC2RTwLw7zKBFUQeQCuRP/kHM4\nzVPLnrCKrkkYYS8fd1GIxgRuLIfBItxfBLk+mLEN1960P0YSbxfbCWCgITEBDx/QwCNCmDAKP1Gy\nWObJYqTcxL6ogBr24tUU6iSBJw/DZVkgeUjpmt4f8CNSQg25CDYrCw0diQl0b5/li6CGvUwIKHys\nCsytMZ2+L8yCV8a4XdMHoeNHpJwKspEZSiY7+ZqAxTkLhdXU8zghQoLMBVIn/pHR1oeRkEJY97Io\nJLG5WqA1BGMVeLKf5Zq+x83yIVJKNZ0QGEome/iKLHRUlA6x4mcUQljglUJY3wpTFasPBWf/CfiQ\nqLDaNYQsdrEFPzoKKmdRyBpqeRzVZCXERiQUd/WVGL0fKlqsMYpAU8TiWfJZMZGNh8Fkso9ysizX\nnvH4+Ihq5hEihIfzhXxe8+RxpqecPb6I7QL/h+5+pvpEXmyAGw6BoEJfEdOd3RGDXkQqKSMLmcFk\nsYdK2138DPq4WZiscVIVu2Ud3a9ye1hhdpkXIuZOQgjDPwdCcxTqHBZrAzDwIVJOJZ0QGEwW+ygj\nQAyFCOM5KTUrt4p9GqhhlYywwuLOAZ5vFJhSjOma3hMKs2D6pkRW21gNIps9VFp9qDAefxLrdV8e\n45QqdodlVI/OcN3Hm5093F8r8ORBOMsDvxlkuabvOIak0hGla9jHp/Hjx7OTBhRUTiaDJlSaqcdv\nncL9hu04nTHm0cp4vNyueLlbDqJpEpf4JXrLCt2qItTEFN5SBcrKYVGh5ZrumPTqVALspN7Fa6AJ\nv3W6+BA7XKenTxBkvNCHOzMl7ow2I8k6pSGN20IyRBUmINBTBjIwc4NjwzzFYvkJMZjOrrapeDvE\nujukmQlOUsAjsLMZTq2H2QPaOCPJYheH8RBhCBkELU7AOh39NTtcp8JmH/rsPpRknWJNZXdIIebx\ngi6zX4PBh2FGL7dr+kiy2U0dfloZQBeCqDQSxIvpMP4w28zTehfL62LpmkRE0piT5yMsSsw7DFNz\ngQCuhD2KTPZQi0KEIWQSJEIzDQSseOgIy2vEgExqfTo1uhXipvucy8F9D3UoqAwm22pTIwoyEjqP\nsKWt7IPCU7RwBn5uJcCvlAZkWec0ReAmb4CLDkdZHhJMuzgN0zU9E9fWtZdaPKgMoBPNqLRw2I6J\nx9ncVq5wsH4h+pgdaDLLJbJOY1hHFb3gkRgQkBmbCT/dg2snNIxc9lKDj1b6041mVII02qxH+bJd\n1r1KPbKsM81relXODkXQZYWtYYGCOlhYhMs1fRid2Ec1HiIMJJtmIgRptJxJdZsVH6/Edkmyxh14\nWRnVeDwaA1lhW0ig32G48ySYd6LnxE7XsI9PCxYsQMbLUiYhI+JBZBk/xMDgx6y1l/OiEsF0+hAB\nDzqKqCIpEuN1gXLDoE7QrKSpsDkm4BHg9Dx407E3vZURiAgu3jtMxACmsM7FMrdnxfQvEWKm+a7P\nPLfVNd2c5l5SQLDMY0O4TFD/H6MQEFjClJRtU/EekaXLOl6/SiQEMZ/5PmEBQXLPIxDnLOYCJIuz\nlEkYwEWsBsuiCUyXTAUQMew+xAeRsNdkWescachMy4NljcT9WAG4hVMQEHiVi9phmWPkZpHEmpQZ\n40afwOgKjWGKBFgGso6xupnTHCwBDxJLmOJiKYCK4mJJGEiijtcXQVRNE4d1BRJgsDQo8FoDbKiH\nescc8kPowl+52GqTxGIuwACmscIeI7NNZlVWxDA5mL6bl3olQkAfn8YX2QqxmMGLjQKv1EBDBOpP\nb2MNpisvMs1mvcpFNsuMvwgRvJjOlRHLPyeGgooqKnh9bfUVNexlZrZEpS7wzwC9mQsAACAASURB\nVDBOq1BuZBwC8GeuQLaczDvKirdrjRDCIJNbcwz+LKh0lRWuzhNYHgTNscP7OWciAIu4AimBdTlv\nIyHhtXoxPl7xsVJQQYGcmEGzbiBKmh3vQcG0jBvq2BGdEKVLIsenxsZGng8cZD8N3MPprKacT6kk\nhoicsBuU0ZlGNgPwchelSNbhWE9RYIuh4vWrdiLdFVZoNQQKfbiSaCtRnmETe2myeR9TjW4dITpZ\nAD+jCwNRuI0qFNHc8ztdzJFkQASfdWjoCIQWi3WABu5inM2KS7IY8YSQxHIm0hDEZIkpnSR+kiMw\neT+cl9vGWcjnHKCeOxjPWkr4hErLXspk6A7WVLq4+jCe3CJhLx/nexklSSgY/LEJbq91O8G3EuVZ\ni3UnZ7KGQ+2yzPFKZhX6ovyZTlzfHKLeA/GyBV5cCbuVKM+xgQPU80vOYg2HWE8ZqpVg2vpRSmIp\nCKiiwmElzG2qyIawQF5M5qcehXUnidznczuZz2ctBznML5jAOg7yGRXoiEhWWSkeDxISl5NPf3zc\nTamVcKCfICEZcItP4fGQSlCV+VWOzGWZAhP2pmbdxtl8RLGLZfafRNzJ/hIKkliqqCDJGpIskemL\ncG2WwsImg5jPcXoCtKKyiE8opo7/x3/wEcVspBQVT4dYEhKHlTAT1Fre8efzeMDhml6W7HD/Aus4\nQD238h98xAE2UG5fhJTQXay2Pjxks16hhT/LeVyWpbK8WWNspsyNeSJp1/TU+lYmf/J4PKyngiBR\n+pLLWsqoIUR1isu4/0EOs+nFA5SwH9W+bwDBNPGVZB1J1s1EKuuAYbbKsSuSEdlIuYtXTZhqwq4d\nhITOf5DLvfTgPso5SMg+6jA3FtOdXRBiIBggGyYnBasZlb7k8hHF1NGSxDLb5mYBSayx/hh/K4A5\ntbAmksgpoxmVPuTyESXUEKImxaX1s8lL3YeYvofTQ82c2dTCbU0a5wfguZ7uNkkINuukdljxZNDe\neC0UO/F3I8RHlhUXkjlWgpzM+pxSWojYrFpCHCZ5YvdEVnwM96HxV6GFrUKU1YbKDU1RlrYY3NcV\nDjmuA3zBIZrQOYlOfEgptbRSm7L/8rmL3jzIQUpotcfRdE2H+6LNvBYLszSqMvOwzni/QS9fMqsF\nld7k8THFR2TdQZ8kloSObMX6NJ9EJxGea9XbYtCSbLnOm+0yWVVEjso6QMS+n2QQHt725PEPPcLk\nYCvXNEXo64HXeyWOlcgXlNJqtesTDlBLK1XOq62WJtLJ6sMDLtZqsYUnjSbu9fmo7xJgUb7I00HT\nPk470dkp2sGf77C+Ndd0VTYQEVCQCFtBeT1rqSJq3450Dt2Yw0Ae5CDLaHLVtX9DVyYZGQwK1aNr\nErom0U/zsa2Lh0vKBX6bj8vJPIKexLuWj6hEs2uVP6SA/6Q//8Uh3qQp6bar+O1rCzyZ9BAkJlfH\nICyzrejorHjb4vXDo7EiYS9nGl5e92fycLPOo7US23oKLndsN8dMmDP4F1WWB2IEr92HD7Gff9Ls\n6sPE28m0qMQ0j2K6pqsCg10O7brlBH90VuJ4qXgp5SR0R6Qd2TX9yCzzQnGhi5Xoeu+8/U+LSpZr\nukRzDNvJPETU5kTQMICZvE+1dYRtXiTuwa84md+wl+XU2zVZDYkH6cE1ZNFTraLZcathYzeFoC6Q\nLbbPApjFSqosI2gVxcV6kyb7/85b5DRNYrmYTzDWvmu62X+gOFznj4V1P905wwhwVrQONewlElIY\nI3pSuqYfD8vpou6MwUxN/mZd06/u4Dr++j2e/On6669n+fLldO3ala1btwIQDAaZPn06mzdv5pRT\nTuHll18mMzMTgKeeeoqnn34aj8fDc889x1lnnZW0zjlz5lDxu3OZziCi6LzGXnREDtNWkLuQ7tzO\nAB5gD+8STPqqGwhzNVkUyDGqAF2TOMUbQwPWawZTSgTbyfwltvMRpfyMIagYDp5q8y6iG3fQjzns\n4x1acBYG46d2cQmigT2ecsdYNdaO6GisuM7zSLwgZ/KfrRHmNQsgw5SyNif4l9nGOkq5gqGoGLzO\nLnRkahxJ7Wh96JQk62hRCUUwv831lW2u6U6WRozX2I2ObI/X0VgSOhOoQDck1IhCTBcZqfv4c7aS\n5Jr+Klv5mBJ+ynCbBdhjpSFxAT25jYEuloRu92+qdk31CzTGDE4tEWzX9F+ygssZRhSd1y1OPWH7\nu/+YQm5lCP/FLlZRb1XM27SeMNeQxVhB4QPLVPgUb8x0Ta8yOBwSbNf0O3mHnzLCxaqxkpqOlMQi\ngQXm2Vc/FM6QZH4aChGPmyll2HHxN77iE0q4jOGoxHjDuvh8LCzzWZ62hCV7dHTdrJE5XdNfYzOf\ncpBLGU0UnX+w85hZdtlE1mi0HO6/T67p/9s66knHz3/+c1asWOH634IFCygqKmLPnj0UFhby7LPP\nAqbdzTPPPMMHH3zAggUL+MUvfpFynUuXLqWSVk4ii0+poYwIlYSIWhvkNE7iLgbyBAfYRAv5yHRG\nJsexQb5FCyXovOPJ43xJ4Zc+hT9keflLi0GlDqUO3jqqKEOlNzk2rwwV1Vrf5RQym/48RjGf00Jn\nm+funuGCzCgPpmu6aDDCAyMVKNVSs9ZTZbPisZeK1Qmvi3UhPl6Wc5kXCfO6GqW7R6dAhLDDhnsd\nlZQRpjc5fEY1ZaiUESFqtekyiriLgfyefe324VVkcAE+hsgGw0SJm/0yc7PkJNd0N6vSxdKR2mVl\nWhunjsRuNHajscvQ2RmLUSqYnbYrCpsd93x/QjnlSSzVxbqTwe2yAG4ii4tkDwMEibGSxBOZCtMC\nAo83ul3TywlTRC4brPaVESZqJZqL6cvtDGUee/iKRnLxkZ8iBvehMVfK4gJJ4Uceiaey4q7pcNBx\nkFaK2iHWZpptVmaKpH2dFKDCMF3TRUmz1t0G+pRyKgjRy2KVHyNLR+YlmhiOhwekTEaJEhd4ZObn\nxF3T277Lx1RSSpRe5LKRiiOy2uvD3shcToB+SFwqe/gsz8ckr8htDd/ALR3/BiURjA7owIEDxrBh\nw+zXl156qbF582bDMAzjiy++MKZNm2YYhmEsW7bMuO222+zlRo0aZTQ1NSWtr4PYtNJKK60Tki8A\ng4uNjv0cA2/OnDnGiBEjjJEjRxrTp083amtr7ffmz59v9O/f3xgyZIjx0Ucfpfx8U1OTceGFFxq9\nevUyLrroIiMYDB6Rd1xl/Y0bNzJ48GAABg8ezIYNGwDTcHLIkCH2coMGDbLfS9SDDz5o/6xZs+Z4\nvkZaaaX1b6g1a9a48sMJ0zfgODN79my++uorvvzySwYMGMD8+fOBjlcb2qtWtKfjuq3POIaCvCAI\nKf9/QgcirbTS+rfRxIkTmThxov167ty5J2bF30ANOyvLfJJI0zRaWlrIyckBzIPXKVOmUFRURFFR\nEYZhEAwG7eXj2rBhA3PmzMHr9XL99dfzyCOPHJF3XEfYY8aMYccO87nRHTt2MGbMGADGjh3L9u3b\n7eV27txpv5dWWmml9a3qG6ph33///XTr1o1169Zx9913A2Yi7ki1ob1qRXs6roQ9duxYFi1aRCgU\nYtGiRYwbNw6A008/nZUrV1JSUsKaNWsQRTFpj5JWWmml9a0o0s5P1RrY/WDbT4ImTZrE8OHDk37e\neustAH77299SUlLC6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MSwX1fs9T2Le1nA5L86ajz8FfymDrYNzs550Z6KXs8/qMaVJBEr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\nl1orGLhnxU5qOKcuODy3Jxn4jPPwyRKaX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"text": [
"<matplotlib.figure.Figure at 0x34048e80>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}