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@juhasch
Created March 17, 2013 17:09
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{
"metadata": {
"name": "spectrum-subplots"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Spectrum: a Spectral Analysis Library in Python</h1>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from spectrum import *\n",
"data = data_cosine(N=1024, A=0.1, sampling=1024, freq=200)\n",
"p = Periodogram(data, sampling=1024)\n",
"p.run()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure()\n",
"fig.subplots_adjust(right=1.5)\n",
"fig.subplots_adjust(top=1.5)\n",
"ax = fig.add_subplot(221)\n",
"ax1 = fig.add_subplot(222)\n",
"ax2 = fig.add_subplot(223)\n",
"ax3 = fig.add_subplot(224)\n",
"\n",
"p.plot(marker='o',ax=ax) \n",
"p.plot(marker='o',ax=ax1) \n",
"ax2.plot(data)\n",
"ax3.plot(data,'r')\n",
"ax1.set_xlim(150, 250)\n",
"ax1.set_ylim(-20, 20)\n",
"ax.legend(['Periodigram']);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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HHiM5OZlx48bRp08fYmJi2Lhxo7/Eq3MCbdpUGpLxBFqVlUBrZ40GXOPh8ePH6dixI48+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Fhb3VQ/+0bPXp8+cjovwHsFHJAx6bNm+bZH+W3Xr+/a1qmTnJ1Ci9FMFgp6q5Fp9ezrr+V8t0YI\nAZx9tvt3M5idBk/vfGZZvVrOratm7lw5mFMPvYUn1Pfs7bddcwObXehCi1Y31f9TRiFBCnXqeO5X\n7NALVVKj7clp1851ThJGKIj6UBDNQUHUt4+C6BNbO5IK6tWevGFmvlFvKM/QxRfLaaP+8x/3KdHM\nHq/FTEjRV1+5eiN86aZZ9GK4a7qEqC9dVdi+3X2BAzVCuM++4Y9u1qR3Li3N/2PU7N3riq/XYmbK\nOm9pzaANCVLn40s3T58GtGM9hJAVa7Umzp+vb2+UD1K0NhTEmkFB9P8YNRREd6JIEG3bta1G+a37\nev6UikIgOHzYdd5+/cwdY+a3ra4Ma1FW9/LWk+MPZudiDWReq1bJ19tve+4rKXFN6QZ4L6N6UOSW\nLe4roVkBf7TQKHbcF7XpyQFkr58a1Wp8TkaM8NxWWRmY/20SJCiINYOCGDwoiBFNRDiStY0Zrwnl\n5f5XVs3YZzQfLgA0bCjfA1UBD+T18jcvvVhvLYsWGe9bvtz12Yqr4Plzf2p6L6uqgAcf1M/HVwW8\nNqhn7VATRRVwa0NBrBkUxOBBQYxoIsKRPHZMDuoLZaVA2+Lti5ISc9riLY3yXDocwSlrKJ97ZXEL\nb9x9d/Dt8JeFC82l8+d/pKYVcG/5bN/ufeaV2mD07EWRblobCmJgoCD6hoJIQUSExEh+/z1w4YWh\nrYD/8IMMCTFLmzbmtM5bGZQeo0DppvZcyuwRocCf/xwrceON5tKFogLuKx9l9bNAU1mp/5xGkW5a\nGwpizaAg+g8FkYKICGmRVHjssdCd65VX/D+mthVwZV5bEwtimEJ7rkDla4ZAVTqtij9aqIyNqC2h\nuqYlJXK2Dy1RpJv2gILoHxTE4EFBjGgiokVSYdmycFvgndrqZqAJ5bm01HQwpF3wR8Puuy8w5wx3\nvHcU6aY9oCD6BwUxeFAQI5qIciStTm17ciKJSNfNcGiYN61WptwLJlGkmyQQUBBdUBADDwUxZNCR\nDCFWq4Brl3olgSMcuunt2UlMDP75o0g3SSCgIEYPFMSIho5kCLGabhYVhe5cJPKJIt0kgYCCSCKZ\nKBJEOpIhxIwmqueVJYSQiIWCSEhEQEeSEBIQoqgCTggh3okiQaQjSQghhBBCagQdSUJIQIiiCjgh\nhHgnigSRjiQhJCBEkW4SQoh3okgQ6UgSQgJCFOkmIYR4J4oEkY4kISQgRJFuEkKId6JIEEPqSBYW\nFiItLQ0pKSmYOXOmx/6CggI0btwYqampSE1NxeTJk0NpHiGkFkSRbgYE6iEhEUwUCWJcqE5UWVmJ\nYcOG4csvv0Tr1q3Ro0cP9OnTB507d3ZLl5GRgYULF4bKLEJIgIgi3aw11ENCIpwoEsSQtUiuWLEC\nHTp0QNu2bREfH48BAwZgwYIFHulEtKytSkiEEUW6WWuoh4REOFEkiCFzJEtLS9GmTRvn98TERJRq\nFk53OBz4/vvv0aVLF1x33XXYtGlTqMwjhNSSKNLNWkM9JCTCiSJBDFnXtsPERU1LS0NxcTHi4+Mx\nd+5c9OvXDz///LNB6lzV58zqFyEkXFit8aygoAAFBQXhNkOXQOthrupzJqiGhIQdiwliMPUwZI5k\n69atUVxc7PxeXFyMxMREtzSNGjVyfr7nnnvw+OOP448//sDZZ5+tk2NukCwlhEQCmZmZyMzMdH6f\nOHFi+IzREGg9zA2apYSQSCCYehiyru1LLrkE27dvx+7du1FeXo4PP/wQ/fr1c0tTVlbmjAlatGgR\nEhISDJxIQojVsFgF3NJQDwmJcKJIEEPWIhkXF4fZs2fj5ptvRkVFBe6991507twZb7zxBgBgxIgR\n+Oijj/Daa68hLi4OKSkpusHnhBBrEkW6WWuoh4REOFEkiA5hw2GBMr7IdmYTEtG8+SZw773htsIY\nh8MRkaOgHQ4H1ZAQq2FxQQykHnJlG0JIQIhAH40QQmpGFAkiHUlCSECIIt0khBDvRJEg0pEkhASE\nKNJNQgjxThQJIh1JQkhAiCLdJIQQ70SRINKRJIQEhCjSTUII8U4UCSIdSUJIQIgi3SSEEO9EkSBy\n+h9CSEA4+2xg82agefNwW6IPp/8hhIQMiwsip/8hhFiOP/4AjhwJtxWEEGIBokgQ6UgSQgKGwxFu\nCwghxCJEiSDSkSSEBIwo0U1CCPFNlAgiHUlCSMCIEt0khBDfRIkg0pEkhASMKNFNQgjxTZQIIh1J\nQkjAiBLdJIQQ30SJINKRJIQEjCjRTUII8U2UCCIdSUJIwIgS3SSEEN9EiSDSkSSEBIwo0U1CCPFN\nlAgiHUlCSMCIoaIQQogkSgQxOkpJCAkJUVIBJ4QQ30SJINKRJIQEjCjRTUII8U2UCCIdSUJIwIgS\n3SSEEN9EiSDSkSSEBIwo0U1CCPFNlAhiSB3JwsJCpKWlISUlBTNnztRN88QTTyAlJQW9e/fGli1b\nQmkeIaSWRIluBgTqISERTrQIoggRFRUVon379mLXrl2ivLxcdOvWTWzatMktTV5enrj22muFEEIU\nFRWJXr166eYFQACCL774sthr//6gS0mNCaHc+STQehj2G88XX3x5viwsiIHUw5C1SK5YsQIdOnRA\n27ZtER8fjwEDBmDBggVuaRYuXIjBgwcDAHr16oVDhw6hrKwsVCYSQmpJtFTAawv1kJAoIEoEMWSO\nZGlpKdq0aeP8npiYiNLSUp9pSkpKQmUiIaSWRIlu1hrqISFRQJQIYlyoTuQweUFli6uZ43JVnzOr\nX4SQcGIl3SwoKEBBQUG4zdAl0HqYq/qcCaohIZbAQoIYTD0MmSPZunVrFBcXO78XFxcjMTHRa5qS\nkhK0bt3aIMfcIFhJCKkNFtJNZGZmIjMz0/l94sSJ4TNGQ6D1MDcoVhJCaoWFBDGYehiyru1LLrkE\n27dvx+7du1FeXo4PP/wQ/fr1c0vTr18/vPvuuwCAoqIiNGnSBC1atAiViYSQWmIh3bQ01ENCooAo\nEcSQtUjGxcVh9uzZuPnmm1FRUYF7770XnTt3xhtvvAEAGDFiBK677joUFhYiOTkZDRo0wDvvvBMq\n8wghASBKdLPWUA8JiQKiRBAdQhuEYwNknJDtzCYk4jlyBGjUKNxW6ONwODxiDiMBh8NBNSTEilhY\nEAOph1zZhhASMKKkAk4IIb6JEkGkI0kICRhRopuEEOKbKBFEOpKEkIARJbpJCCG+iRJBpCNJCAkY\nUaKbhBDimygRRDqShJCAESW6SQghvokSQaQjSQgJGFGim4QQ4psoEUQ6koSQgBElukkIIb6JEkGk\nI0kICRhRopuEEOKbKBFEOpKEkIARJbpJCCG+iRJBpCNJCAkYUaKbhBDimygRRDqShJCAESW6SQgh\nvokSQaQjSQgJGFGim4QQ4psoEUQ6koSQgBElukkIIb6JEkGkI0kIIYQQQmoEHUlCCCGEEFIj6EgS\nQgghhJAaQUeSEEIIIYTUCDqShBBCCCGkRtCRJIQQQgghNYKOJCGEEEIIqRF0JAkhhBBCSI2IC9WJ\njh49ikGDBmHnzp1o37493nvvPTRs2NAjXdu2bXHWWWchNjYW8fHxWLFiRahMJISQkEA9JIRECiFr\nkZw0aRIuu+wyrFu3Dr1798bkyZN10zkcDhQUFGDNmjUUTUJIREI9JIRECiFzJBcuXIjBgwcDAAYP\nHoxPP/3UMK0QIlRmEUJIyKEeEkIihZA5kmVlZWjRogUAoEWLFigrK9NN53A4cNVVVyE1NRVvvfVW\nqMwjhJCQQT0khEQKAY2R7Nu3L/bt2+exfcqUKW7fHQ4HHAaLmX/33Xdo1aoVNm/ejOuuuw6dOnXC\nFVdcoZMyV/U5s/pFCCGSgoICFBQUhO38odTDXNXnTFANCSHuBFMPHSJE/SadOnVCQUEBWrZsib17\n9+LKK6/Eli1bvB7z8MMPo3Xr1njkkUfctkvRZXcPIVbDyr2wDofDMt3EgdZDa5SKEOKGRfRGj0Dq\nYci6tvv164e5c+cCAObOnYubbrrJI82JEydw9OhRAMD+/fvx+eefIzk5OVQmElIjDBqTCDGEekgi\nFgpi1BGyFkmj6S727NmDe++9F3l5edi5cyduueUWAECzZs1w++23Y8SIEZ5Gs0WSWIjYWKCyMtxW\nWAMLV8At1SIZaD20RqkIAQVRjUX0Ro9A6mHIHMlAQkeSWIk6dYDy8nBbYQ2srCZWciQDCR1JYiko\niC4srDe27NomJFKJjQ23BYQQYhEoiFEHHUlCagl1kxBCqqEgRh10JAmpJYwtJ4SQaiiIUQcdSUJq\nSXx8uC0ghBCLQEGMOuhIElJL4gI6rX/giOGvmxASaiiIUQevLCG1hLpJCCHVUBCjDl5ZQmqJVXWz\nTp1wW0AIiTooiFEHHUlCaolVdfPss8NtASEk6qAgRh10JAmpJVbVzQYNwm0BISTqoCBGHXQkCakl\nVtVNTudGCAk5FMSog44kIT7wFaMdTN3Unvv8812fL7zQ+DghQj+dW1lZaM9HCAkDFERzRJEg0pEk\nxAe+dDOYFV219rVqBQwf7vq+Zo33Y0M9SLF589CejxASBiiI5ogiQbStI3njjeG2wMX77wc+z3Ct\n9V5REZ7zWhlfuhiIim6jRr7zjokBTp70TDN5MvDoo57bOdtFFEFBDA4URE8oiESDba9s+/bhtsBF\nr17htsA3111nLh3DSDwx0p9//Uu++9LNc8/1fY6iIv3t6rxjY4ETJzz3GfXaOBzB+U8nFoSC6B8U\nxJpDQSQabOtIWun3bfWlRXv2BP7v/wKb5z//CVRWAr17+0775JPm8nz5ZaC8vHZ2GelPbTB61i66\nSL4r05Ndfrm+RhYXu6fTsnEjkJTk2w5tBdyXbsbEAC1aGOd3552+z0lsAgXRPBTE2kFBJBoi1pG8\n6ir53qmT93S7d9felnDp5qpV5tLFxwMJCYE9txDyd2mmt+CSS8zlOWaM8TKtZnslmjUzl86f8BWj\nc1dVyfcPP5Tv7doBrVt7plPKVLeufj7enh8zFfCqKmPd9Jb3K68Y71PKRmwCBZGCqAcF0d1uCmJQ\niEhH8vzzXc/vunXe87nggsDZpKZ/f+N9yu+strRrZy5dMHTz9Gn5buY/Q0mTnu65LyPD3PnMnGfc\nOHk/fWlsejrQp4+58wK+dbNNG/luFMalHG+kmwpz5wJXX+2+rX5993zS0lzfzfTkeLtu3q6TwwHc\ncot3e4mFoCBSELVQEN2hIAYN2zqS3u55fLzsZfCV7s9/Dpw9+/cDN90kP7/8MjBnjnHa224D9u2r\n/TnNVkrj44HLLqv9+dQouulP/PKyZe7fU1KAu+4yd6wZ3Rw/XpbVV+NMvXr+rZblSzfV37XaqdZn\nXxXwu+8GJk1ybRfCfQ7d2FjgoYeAI0fcj6tpBdzXdfrvf73vJxaCgkhB1EJB9LSbghgUbOtIervn\ncXGuZ9rb71qJDT54sPb2nHMO8PbbwP/+J3skfLXOa0M16tSRefiD2bCo+HipUWvXeu674gqgZUvz\n53zjDflekwq4lpgY81OOxcT4juFX7rUvLa9f3z/dNLrOWo3U6/344gv5/thjwB136Oejvj6XXgr8\n+KP+PsUO5d1MSFBNK+AKe/cGr5GKBBAKIgVRL4363QgKomu/LyiIukSkI6mugJv5XTdp4n3/Dz+Y\ns6lZM+Dii+VnsxXTl16S74MHe7biA8CQIcbHaq+Bke4qvQF61yIxEWjaVH5+8UXXdr3ZEwDgL3+R\n7ykp8l2vnOqwFaPzAtJ+oxAgLQ4HsHCh7zRGNqlJSAhMBVx5xhSEMO7Nee45c/Hj2vMpZUpMBN55\nR342q5u16clRaNkS2LwZmDLFd1oSRiiIFES9NEY2qaEgep7HCAqiLrZ1JPv1Axo31t+n1s1AYGYg\nnhaz8ea9egGnTgGvvSYrt/fe63lubdjMnj3yPSbGpXn9+sk8tNxxh2u73u/E4XBdq4cecm2//HJj\nm4VwhTxpy3neeeY1KSbGpZv/+IdxuqQk35VJtS165Tx61PXZjG4++SSwfr1xfkJ1idcAABHhSURB\nVIBnhdvXVHfDhrkPDPz9d/muLZf6/1DZd+ONQI8e7vt99eQ0aOAeUgQA06frn8cbCQmy90tBT/+1\n5yEhhoJIQdRCQXSHghg0QuJIzp8/H126dEFsbCxWr15tmK6wsBBpaWlISUnBzJkzveaZkgJ89pn+\nvoQE/wdZbd+uv109+8L55wO3324uP6PfmnbQZGWlDBWJjZX/A1OnAu++69pfVQV88427disV7dhY\noKREzoCwYIF+Q0KPHq70RpU0vf8Ys9dPyVN5Ly01/3uMiZE9STffDDzyiH6ap5+Ws0H4qkyqbdA7\nf8OGrs8pKZ66uWuX63Nysqxw/ulPLjv10OqkL910ONxtO/ts/XR6FXA1Wt286CL9dJ984jlAVGk4\n0Z7HF+q0Gze670tIcP2XE98EQw8piKAgGtlCQZRQEINGSBzJ5ORkfPLJJ0jXG6VWTWVlJYYNG4aP\nP/4Yq1atwqxZs7B582a/z5WdDXz0kf8V8A4d9LerexpiY80P9jPqNdEOmtTqU7NmwKBBru+VlZ6a\nodaH+vVdlaOrrwa0/0vq48xWJAHzC0loddNbGi0xMXKVq48/1t/foIGMF1fSKvkovWVG51HKqdfz\n8/bbwOjRnrqp7gXTht4ojRxa/K2AA/oVf+31adcOSE3V36fdVlEhY9KNKuAOB5Cfr2+j0X3Jy/Nt\no5r69Y0bw4gnodRDCiIFkYJYDQUxaITEkezUqRM6duzoNc2KFSvQoUMHtG3bFvHx8RgwYAAWLFjg\n9Ri9e9mzp/wtGunmZZe5WsS9oZ2Rok4dOauBXiy0UVyvlvh4zxAYXxVdZb+6gmqkVQ6Haw37n3/2\ntENJv3On+7aPPgKWLnXPS2/6Lz2U/I1+VwUF3kOCvKH9r1C+Jye7yqnHmDHA/fcDN9wgY/3V1K0r\n89EuBKL3/xIXJ8cdKEu4nnMO8N57sofnl19qppvPPy9tMzo3AJx1luv/z+jaHT/uGpCpXJu+fYHr\nr/dM27eva5CqYqP2ugDA/PnyXW/RD+WajBvnuc9sryWRBEsPKYgURF0oiO5QEAOOySFiwae0tBRt\nlPmnACQmJuJH9WgtHbT366mn5GAwwFiPfE1dpaDVxz17pHaeOSOf19df9368r4qTgq+GAmV///7/\n3979xzZR/nEA/xwMovxKDGEbrMOxLWyD1rUKYwTHqiJkGRMmwcwfAzQQAyaSCUSjJs5EGIag4i8S\nF4byjzH7Y8nku4koqSyBOgJodI2gcYSyMRyQOerCfnSf7x9Hu7br9cftendt36/kwlq69tNr+97z\n9J57HqK33hKPMEyeLB4xCcWTC75HMDzv/QULiFavHuuY+U7F5XnMSL/l//RTcSiT71ATIqLdu8X9\nVVoavEPnW4+UYF86EImf/fx8oqtXg/9ebe3Yz4Gvt+d+qqvFOXjLysbfv+9r73t0rKbGf3aO2bPF\nZV2JxE768uVEly+Lly0WMa8CPfCA+Lc92PCtYKQyKXAIjiCI7YFwY8A9uRnsS4xQf8c8dfjOxhGu\nRpBPTh4iEENAIIoQiP4QiIpQrCH55JNPUk+QucD27dtHFRUVYX9fiHLn19bWesfmElmJyEpLl45N\nM/X00+KY7fGPQ2S1imfxB9qxg+jzz8WfZ83y/z/fBQJKSuTlZjDhOuC+uerbwZs3L/x9//ab/xAk\n35w6cUJ6mE2wPDtxQjzRLtDCheK49sDcPHAgfH3RdMDr6saOFuTmirmzefNYp1FK4HPx/fLC9zX2\nXF9cPJaFvmprx6+gNX26+LeMiOj2bfHfr74S/509O/j+CkbOUbBAM2ZENnNIpEfoAoWbq1ePbDYb\n2Ww2TR5bizz0BKL13oZADIBARCAGSqJAjGUeKtaQPOmZH0qmjIwMcnrW4CQip9NJBoNB8va193pZ\nBw+OdbJ8X79t28af8Oexd2/wjspnn4lzxHZ0iMNrpDp4zzwjvkelpsEKrCXUdeEWY5jIyZZGY+jH\n37o18uVFV68Wt2Ck8lfqcT3Czf7g+3s7doj//vefOARq0qSxLxeczrHFFAIVFBCdOhW+FkEInSnv\nvBO6Vg/PfUSzP5TIzVdfjex2oZ5jqP9Toka1Wa1Wslqt3svvvvuuao+tVR4iEENAICIQAyVRIMYy\nD1Wf/oclXpwlS5bQn3/+SVeuXKGhoSH65ptv6Kmnngp7f1OnRtepiPQ1FgTpz2JKirgYQ7ghS+Ee\nm1l6TLuHbwd9ojMKBI5rrq8Xv4yYqBkz/BcciERzs7jgRbSmTYvu5DpBIHrsMf/LUrdTUqj7KysT\nj3R5hJp5I9K6UlJCd8A9S+kGDoXyTMUWTjT7HCKndB4iEKOAQEQgIhAVocreaGpqoszMTLLb7VRe\nXk5l98ZhdHd3U3l5ORERpaSkUENDA1VWVtIjjzxCL730EhUUFKhRniyCIB7BiKWiIv85eXftIvrl\nF/n3ZzAQnT8f+e0jnf7MYgk9N26wz/706eGPPITLDDlHJWLdWdy1S/ziI9TQs9TUsSNdly+Lr4sU\npeo9dkycGSU723+/bdkifkkRThx2wHUrEfMQgegDgTgGgZgUVDnZprKykiorK8ddP2/ePPqfz8Dj\n0tJSuug5I0wGvb5+jY1ihz3a+gLH1t93H1FhYejfmTVLPIlPSuA48lBu3hSnbAs2tMqXIES+IINH\nJB26cPvrtdfEz7zcL2Bi8X7ZskUcfx7pKnOeqdmkKFXjzJniFozntQu1H+NwSJBuqZWHun1hEIjj\nIRBFCMS4pJuztpUQyesX7Ex+tajx/poyZfzUbHLNnBn5lwyhZseIdHhUIKnp0TxMJnGTGroVjmc6\ntMOHo1shLJyUFKI5c5S7r1j79lvxPA3fWVACBcvNhgZxcQrQKQQiAjEaCEQRAjFqCdWQDOe998RO\nm9JCLU37ySdE945WJbT586U7cMHGtIcbV15eLi5EoDTfWvLzifr7pTumetDUJJ4IGsu/ufPni1uo\nvx2BuVlbOzZFWxJ2wBMDAjF2EIixgUDUpaRoSLa1iTNUhDrC4RHteyDUt9+//uq/AlOyCtynmzeH\n76AuXBj50aFojuQEjs/Xc2YSiUd6Pv9c+gRRJS1eLL0vS0uJVq0au+x70mYS5mZ8QyBqC4EoHwJR\nlxKqISn1+j36qPzpoiYiMDOT8P0VVLjVo27f9p83OJxIV2n7/ffwHX89Clz4QQsLFhBJzWiD97VO\nIRDjAwIxOghE3UmohqQSIv0MypGE7y8i8u/09vb6L+MajNRSrlJSU8Vx8OEsXhzd/UJkkvV9nRQQ\niMpDICa2JHxfoyEZoLmZqK9P6yoSy4oVRJcuiT+Hy0y5fBfaAACFIBCVh0CEBJNQDUklOgLp6eIW\nC0nYUSEi8XkvXKh1FRALNTXhFyMBjSAQ9QmBmLiSNBATpiGZlzd+BSy9SdbchMT1wQdaVwBBIRAB\n1JekgZgwDck//tC6AgAAnUAgAoBKsGCkitABBwC4B4EIkBDQkFTJtGnxOdMCAIDiEIgACSNhDm3r\n3T//RL/8KgBAQkIgAiQMgVmLmWknRhAEisOyAUBDiZobifq8ACB2lMwNHNoGAAAAAFnQkAQAAAAA\nWdCQBAAAAABZ0JAEAAAAAFnQkAQAAAAAWdCQBAAAAABZ0JAEAAAAAFnQkAQAAAAAWVRrSDY2NtLi\nxYtp8uTJdOHCBcnbZWVl0UMPPUQWi4WKiorUKi/mbDab1iVEDTWrAzUnH+ShTesSooaa1YGa449q\nDUmTyURNTU20cuXKkLcTBIFsNhtdvHiR2tvbVaou9uLxjYaa1YGakw/y0KZ1CVFDzepAzfFHtbW2\n8/PzI74tlvsCgESGPASARKG7MZKCINDjjz9OFouF6uvrtS4HAEAzyEMA0D1W0KpVq9hoNI7bmpub\nvbexWq18/vx5yfvo7u5mZmaHw8FZWVl8+vTpcbchImzYsGGLelMT8hAbNmx63pSi6KHtkydPTvg+\n5s6dS0REBQUFVFlZSe3t7VRSUuJ3G8ahHgDQOeQhACQDTQ5tSwXfwMAA3blzh4iIent7qaWlhUwm\nk5qlAQCoCnkIAPFMtYZkU1MTZWZmkt1up/LyciorKyMiou7ubiovLyciop6eHiopKSGz2UxVVVVU\nU1NDq1evVqtEAABVIA8BIGEodpBcBT/99BNbLBY2mUz88ccfa12O19WrV9lqtfKiRYu4tLSUjx49\nyszM/f39vG7dOjaZTLx+/Xq+c+eO93cOHTrEJpOJLRYLt7W1aVQ588jICJvNZl67di0z679ml8vF\nmzZtYrPZzAUFBWy323Vf8xdffMHLly/nhx9+mHfu3MnM+tvPL774IqemprLRaPReJ6dGh8PBRUVF\nbDKZ+M0331S95t27d3N+fj5bLBbeuXMn9/X16apmJSEPlYc8jD3koXo1q5WHcdOQHBkZ4ZycHO7s\n7OShoSEuLCxkh8OhdVnMzHz9+nW+ePEiMzP39vZyWloaOxwO3rNnD7///vvMzLx//35+/fXXmZm5\no6ODCwsLeWhoiDs7OzknJ4fdbrcmtR88eJCfe+45rqioYGbWfc2bNm3iI0eOMDPz8PAw9/X16brm\nW7ducVZWFrtcLna73VxWVsbfffed7mo+ffo0X7hwwS+EoqlxdHSUmZmXLl3KP//8MzMzl5WVcWtr\nq6o1f//99+x2u9ntdvPWrVt1V7NSkIexgTyMLeRhYuZh3DQkz5w5w2vWrPFerqur47q6Og0rkrZ2\n7Vo+efIk5+XlcU9PDzOL4ZqXl8fMzPv27eP9+/d7b79mzRo+e/as6nU6nU5+4okn+NSpU94euJ5r\n7uvr4wULFoy7Xs81DwwM8IMPPshdXV3scrm4tLSU7Xa7Lmvu7Oz0C6Foa+zu7ub8/Hzv9V9//TW/\n/PLLqtbsq7GxkZ9//nnd1awE5KHykIexhzxMzDzU3TySUrq6uigzM9N72WAwUFdXl4YVBffXX39R\nR0cHFRcX040bNygtLY2IiNLS0ujGjRtEJI6DMhgM3t/R6rnU1NTQgQMHaNKksbeBnmvu7OykOXPm\n0JYtW8hoNNK2bdtoYGBA1zXff//9dPjwYcrKyqL09HRasWIFLVu2TNc1e0RbY+D1GRkZmn5G6+vr\nad26dUQUPzVHCnmoPORh7CEPEzMP46YhKQiC1iWE5XK5qKqqij788EOaMWOG3/8JghDyOaj9/I4f\nP06pqalksVgkzxrVW80jIyN07tw52rBhA507d44GBwepsbFxXE16qrm3t5e2b99ODoeDrly5QmfP\nnqXjx4+Pq0lPNUvVoIc6IrV3716aOXMmbdy4UetSYiIeXgvkYWwhD7WDPPSn2hKJE5WRkUFOp9N7\n2el0+rWctTY8PEwbNmygF154wdvqT0tLo56eHkpPT6fr169TamoqEY1/LteuXaOMjAxV6z1z5gw1\nNzdTS0sL3b17l/r7+6m6ulrXNRsMBpo9ezZVVFQQEdGzzz5Lx44do/T0dN3W3N7eTsXFxZSbm0tE\nRBs3bqS2tjZd72ePaGo0GAyUkZFB165d87tei9q//PJLamlpoR9//NF7nd5rjhbyUFnIQ3UgDxM0\nDyd0QF5Fw8PDnJ2dzZ2dnTw4OKirweWjo6NcXV3NNTU1ftfv2bPHOw6hrq5u3EDXwcFB/vvvvzk7\nO9s70FULNpvNOyZI7zUXFxez3W5nt9vNr7zyCtfX1+u65n///ZdzcnL41q1bfPfuXa6oqOAffvhB\nlzUHjq+RU2NRURHb7XYeHR1V5cSVwJpbW1t50aJFfPPmTb/b6almJSAPYwd5GDvIw8TMw7hpSDKL\nH3Cz2cxGo5EPHTqkdTlebW1tLAgCFxYWstlsZrPZzK2trSGnC/joo4/YaDSy2WwOuuyZmmw2m/cs\nRb3XfOnSJV62bBnn5OTw+vXr2eVy6b7mo0eP8sqVK3nJkiX89ttvs9vt1l3NVVVVPHfuXJ46dSob\nDAZuaGiQVWNHRwcXFRWx0WjkN954Q5Wap0yZwgaDgY8cOcK5ubk8f/587+dw+/btuqpZScjD2EAe\nxhbyMLY1a5GHAjPW1wIAAACA6MXNyTYAAAAAoC9oSAIAAACALGhIAgAAAIAsaEgCAAAAgCxoSAIA\nAACALGhIAgAAAIAs/wdaRhZnOAygHwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x8eb2a10>"
]
}
],
"prompt_number": 43
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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