bateman.ipynb

{
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   "cell_type": "markdown",
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   "source": [
    "<h2>Bateman Equations for Multiple Decay</h2>\n",
    "\n",
    "The inventory of each of four compounds was calculated assuming a multi-step reaction model. These calculations require several assumptions (Eganhouse and Pontolillo, 2008), as follows: (1) reactions and loss occur through first-order kinetics; (2) the only competing reaction is loss through unspecified physical processes discussed below; and (3) rates are constant over time and uniform throughout the sediment deposit (except the physical loss rate). The time-rate of change in $DDE$ inventory was determined by dechlorination to $DDMU$ and by possible losses through other processes. Likewise, the change in $DDMU$ inventory was determined losses from dechlorination to $DDNU$, gains from dechlorination of parent $DDE$, and losses by other processes. $DDNU$ inventory changes were analogous, with losses to an unspecified compound, gains from parent $DDMU$, and possible losses through other processes. The inventory of the final, unspecified product changes with gains from transformation of $DDMU$ and possible losses to other processes. The coupled differential equations (1) are\n",
    "\n",
    "$\\begin{matrix}\n",
    "\\frac{d{{C}_{DDE}}}{dt}=-{{\\lambda }_{DDE\\to DDMU}}{{C}_{DDE}}-{{\\lambda }_{Loss}}{{C}_{DDE}}  \\\\\n",
    "   \\frac{d{{C}_{DDMU}}}{dt}=-{{\\lambda }_{DDMU\\to DDNS}}{{C}_{DDMU}}+{{\\lambda }_{DDE\\to DDMU}}{{C}_{DDE}}-{{\\lambda }_{Loss}}{{C}_{DDMU}}  \\\\\n",
    "   \\frac{d{{C}_{DDNU}}}{dt}=-{{\\lambda }_{DDNU\\to ?}}{{C}_{DDNU}}+{{\\lambda }_{DDMU\\to DDNU}}{{C}_{DDMU}}-{{\\lambda }_{Loss}}{{C}_{DDNU}}  \\\\\n",
    "   \\frac{d{{C}_{UN}}}{dt}={{\\lambda }_{DDNU\\to UN}}{{C}_{DDNU}}-{{\\lambda }_{Loss}}{{C}_{UN}}  \\\\\n",
    "\\end{matrix}$\n",
    "\n",
    "where the molar concentrations $C$ [$\\mu$mol/kg dry sediment] of each compound and the transformation rate coefficients  [y-1] are labeled with subscripts. The losses to other processes accounted for physical removal of compounds from the sediment. Processes that have been suggested include direct desorption, resuspension and desorption, desorption into porewater and irrigation, and uptake by benthic deposit feeders. We have assumed that the combined rate coefficient for these processes applies equally to all four compounds. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of the final concentration matrix:  (50L, 4L)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0xa8b7f98>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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ZN1JKuQJvAlOAPGC3Umqp1vpYi2t6AD8FRmutS5VSETf7fu0R4OXO8zP78uS/9vPR9mwe\nGpPkiDCEEJ3IsGHDmD9/PkOHDgXgscceIzU1FYD09HRSU1O57bbb+NGPfsSsWbNITU1l2LBhDl+4\nSLW2CKSUugWYD6wF6pqOa60XtvL+kcALWutplv2fWu7/dYtrXgW+0lq3eiL29PR0vWfPntZe3mpa\na779wW72nilh7f+bQFSgl9XfQwhhfcePH6dPnz6ODsOpXO1vopTa25r1gNpS3fQgkAZMx6hmmoVR\n5dRaMUDLvqV5lmMt9QR6KqW2KqV2KKWmt+H1rUopxUtz+tNo1vzP50cdFYYQQjhUW6qbhmqte7Xj\nva42puLyYowb0AOYAMQCm5VS/bXWF7/2Qko9CjwKEB8f346Qri8+1IenbunB/60+yboT55jUO9Jm\n7yWEEM6oLSWJbUqpvu14rzwgrsV+LFBwlWuWaK0btNZZwEmMpPE1Wut3tNbpWuv08PDwdoR0Y4+M\nTaZHhB/PLT5KdX2jTd9LCGEdra1G7wra+7doS5IYARyw9E46pJQ6rJQ61Ib7dwM9lFJJSikP4B7g\n8obwxcBEAKVUGEb1U2Yb3sPqPNxc+NW8VPIv1vDHtaccGYoQohW8vLwoLi6WRIGRIIqLi/Hyuvk2\n1bZUN7WrfUBr3aiUegJYDbgC72utjyqlXgT2WHpOrQamKqWOYUz78bTW2uEz7g1LCuHu9Fje25zF\nvEEx9I7q0MtoOC+tobYMqoqg6jxUnoeqC8ax+kqoq4T6KqivMJ431oG50di0Ccwmy3MzuLhdubm6\ngbsvePiAhy94+IG75blXIHgHX7l5+oPqNLPPdAmxsbHk5eVx4cIFR4fiFLy8vIiNjb3p+1vdu8lZ\n2ap30+VKq+qZ/PuNRAd5s/DxUbi7dvmlONpOa+OLv/SMsV3MtjzPNp5XngPTlbNkAsaXvIef8aXt\n4Wd8sbt7g4vr1xOBcjE2c+OlpNG0mRqgodqSaKoszyuNpHItrh7gF9liizAe/SMhIBYCYyAw1kgy\nQnQgre3d1JYR14eBQy22wxhTc/zqpqPsQIJ9PXhpbn8e+3gfb204zZO3OLbvstOrq4QLJ+DcETh3\nDM4dhfNHoab069f5d4OgBEgYBf5R4BsBvuHgF37puXcQuHnaJk6tobHWKK3UlF7aqkugpgSqi43E\nVlFoJLTcncaxy/tcePhfShjBiVdunv62iV8IG2tLddN4YIBluwf4F3AM6BJJAmBGajdmDYzmT+tO\ncUufSPpGS7UTYHzRlmQaX6A5OyB3l5Egmr5IPfwgog/0mQ0RfSEk2fjiDIozSgOOpJQRg7u3kaRa\nw9RglHrK8qE8z3gsy4PyfLiYA7m7oa7s6/f4hEJoimXrful5SLLj/wZCXMdNVzdZRkf/Qmv9beuG\n1Db2qm5qUlpVz5TXNhHu78mS743Gw60LVjtpDcUZcGoNnNli+XVtmYDMKxBih0HsUIjqbySFoARw\n6WJ/p5rSS9VqpdlGEi3JNP5uFWdbXKggKB7Ce0N4L8tjbwjvKaUPcV15FXn4e/gT6HlzVZ22qG7q\nobVu7t6jtT6llOpUk/u1RrCvBy/P68+jf9/LG+sz+NEU55lAzKbqq+HMZiMxZKwxvvwAgpOgx1SI\nGwbxIyCsV9dLCFfT1PAdPejKc3UVUHzaSBhFp6DoK7hwEjLXf71NJjDOSLKR/Ywtoi+E9QBXmcK+\nK6qor2BX4S62F2xne8F2cipyeG7Ec9zd626bvm9bqpveUUp1B/Ix2iS8gCNKKR+tdbVNonNSU/tF\ncfugGN5cn8HUvpH0j+mkjZa15XBiORxdCJkbwVRn9AZKGgejnoSUyUa1kWgbT3+ITjO2lkyNRvK9\ncAIuHIfzJ+D8MTi91mh4B3BxN0oaUalf37xltuLOptHcyJGiI2wv2M62gm0cLjqMSZvwdvNmaNRQ\n5veez+iY0TaPo83VTUqpeIzpOQZaHgcAJq11b+uHd2P2rm5qUlbdwNQ/bCTQ253PnxyDp5ur3WOw\niYZaOPUFHPkUvlptNOoGxkOfmdBjCsSPAneZx8quGuuN0sb5Y0ZHgMIjxmPluUvXBMVD1ADoNhC6\nWRKQn0PmxxTtUFBZwLaCbWwr2MaOszuoqK9Aoegf1p8R3UYwMnokaeFpuFuhNNna6qYbJgllWTTi\nBtcEaK3L2xijVTgqSQCsP3GeBz/czeMTuvOT6Q7JkdahNeTtgb0fwPHPoa7c6FXUbx70v9OoSpKx\nAs6n4hycOwxnD0HhYSg8ZFRhNfHvdilhRA+C6MFGrzHhNGoba9lzbg9b87eyJX8LZ8rPABDpE8no\nmNGMjB7JyG4jb7rd4Xqs2SaxXin1GcZ0GTkt3sADGAN8G1gPfHiTsXZYE3tHcHd6LG9tPM3UflGk\nxXWwIn99tVFi2PVX4wvGwx/6zoHUOyBxnDH4TDgvf8t4jZTJl47VlhsJ4+wBKDhgPH61iuaeZoFx\nRsKIGWwkjehB4CW99OxFa01WWRZb8rewtWArewr3UG+ux9PVk/TIdO7udTejokeRHJiMcpIfZq0p\nSXgBDwH3AknARcAbY0qPL4A3tdYHbBznNTmyJAFQXtvA9Nc24eHmwrKnxuLn2QG+WItPw573Yf8/\noPai0SA69Dsw4G7pUdMZ1VXA2YOQvw8K9hmPF7MtJ5XRqyomHWKHGI8RfeUHghVVN1Sz8+xONudv\nZkv+Fs5WGb3bkgKTGB09mjExYxgSOQQvN/tW41qtuumyF3UHwoCay2dmdRRHJwmAnZnFzP/rDuYO\niuH3d6fd+AZHOXsINr1qVCm5uBnjFoY9AvEjpTqpq6kqhoL9kL8X8vcY1Y01JcY5N2+jhBE31OjK\nHDvMKLGIVmkqLWzO38zm/M3sO7ePBnMDPm4+DO82nDExYxgdM5oYv8tXSrAvmyQJZ+QMSQLgtTVf\n8ce1p3jtGwOZN+jm50mxifx9sOn/4OQK8AyE4Y8aJYfWDh4TnZ/WRs+q/L1GwsjbbZQ+zA3G+aD4\nSwkjbpjRo0q64jarbaxlV+EuNucZiSG/0lhytHtgd8bGjmVMzBgGRwy2SoOztUiSsLNGk5lv/nUn\nRwvKWPbUWJLCfB0dkjHyeeOrxrgGryAY+T0Y9qh0lxSt01BrtFXl7oK8XcZI8grL7P5u3hAzxEgY\nccONR58Qx8ZrZwWVBWzK28SmvE3sKtxFnakObzdvhkcNb04M0X7Rjg7zmiRJOEDBxRpm/HEz8SE+\nfPbYKMeNxi7KgC9+bjRYeofAqCdg6CPSQCnaryzPSBq5u4yR9oWHLo3hCO1hDKiMHwFxI4zpRzpR\nNWajuZFDFw6xKW8TG/M2knHR6EkW5x/HuNhxjIsZx5CoIXi62mieMSuzepJQSnkCdwCJtOgVpbV+\n8SZjtApnShIAXxwt5NG/7+U7Y5L4xcz2rNF0E2ouGiWHXW8bv/TG/hCGfRc8/ewbh+g66quNHlQ5\nO4ykkbvz0iSOPmFGKSN+hDGBY9QAcPNwbLxtVF5fztb8rWzM28iW/C2U1ZXhptwYEjmEsbFjGRc7\njqTAJEeHeVOsPi0HsAQoA/YCdTcbWGc3tV8U3xqZwLtbshjdI4yJvewwoMlsgr0fwvpfGbOXDroP\nJj0njY3C9jx8jASQMMrYN5uNgX+5OyBnJ+Rsh5PLjXNu3hCbfqm0ETvMKUu3OeU5bMjdwMa8jew7\nt49G3UiwZzDjY8czLnYco6JH4e/RdXoBtqUkcURr3d/G8bSZs5UkAGobTMx9cysXKupY+f2xRATY\nsGvbmS2w4ifGNNwJo2H6r41Rt0I4i4pzlqSxw0gaZw8Zi0QpF4jsbySY+JHGowNGiZvMJg4VHWJ9\n7no25G4gqywLgJSgFMbHjmdC3ARSw1JxdekksypY2KK66R3gda314fYGZ03OmCQAMs5XMOv1rQyK\nD+Kjh4bhZu1FiuoqYM0vYc97Rs+TKf9rDITrRHXAopOqqzR6T+Vsh+xtRm+qxhrjXEh3SBhp/OCJ\nH2nMDWaD/6erG6rZfnY7G3I3sClvEyW1JUY1UtQQJsROYHzceOL846z+vs7EFkniGJACZGFUNylA\na60dOhOssyYJgP/uyeXpTw/x3fHJ/HRGH+u9cOYGWPIklOXCiMdh0i+MYr8QHZGpwehum73NSBw5\n2y+1a/hHG0kj3pI4wnvf9CzDxTXFbMzbyLqcdew4u4M6Ux3+7v6MiR3DpLhJjI4Z3bWqkWzQJjGj\nHfF0SXelx3Ew7yJvb8xkQEwQtw3o1r4XrC2HNc8bcyyFpsBDqyF+uHWCFcJRXN2NtorYdBj9lKVd\n4yRkbzUSR/Z2OPKZca13sDHJZFM7SNSA644Ozy7PZl3OOtbnrufA+QNoNDF+MdzZ804mxk1kcORg\n3F2cZ+yCM2rriOuBwFjL7mat9UGbRNUGzlySAKhvNHPPO9s5UVjBosdH0yvqJn+pnF4PS580Vj8b\n+T2Y+HNZ0Ux0DU0D/bK3Qc4247Ek0zjn4Wf0oEoYBQmj0dGDOFZ2mrU5a1mXs47TZacB6BPSh4nx\nE5kUN4mewT2dZl4kR7JFddP3gUeAhZZD84B3tNav33SUVuDsSQLgXHktM1/fgq+HK0ueGEOgdxt+\nuZgajV5LW34PYT1hzp+N6RKE6MrKzzYnjMYzW9hbkcVaHx/W+fpwzs0VVxRDAnswKWUWExOnOvWg\nNkexRZI4BIzUWldZ9n2B7dIm0Tq7z5Qw/50djO8Zzl+/lY6LSyt+yVScg88eNlaEG/wtmPGqlB6E\nAOpMdWwv2M6X2V+yIW8DZXVleCo3RnmEcktFBeMLMwgyNRqLNMUMbi5pEDfcKbvdOoIt2iQUYGqx\nb7IcE60wNDGE52f15fklR/nj2lP88EbLnp7ZAp8+ZLRDzH0L0ubbJ1AhnFRVQxWb8zbzZc6XbM7b\nTHVjNf7u/oyLG8fk+MmMih6Fj7ulA0dtmTFOo6ldY9vrsOU1o9tt1AAjYSRaelB1selE2qotSeID\nYKdSapFlfy7wnvVD6rzuH5HAwdwy/rj2FKkxgUzue5XBbmYzbH0N1r1kdAe8fzFE2nnkthBOoqyu\njA25G/gy+0u2FWyj3lxPiFcItybfyuT4yQyLGnb1SfO8AqHnVGMDqK8yut1mb4MzW2H3u7DjTeNc\nRD8jYTSVNmRFv69pa8P1EGA0Rglik9Z6v60Ca62OUt3UpLbBxJ1vbSO7qJqFj4+iR2SLhuzaMlj4\nqDHnUr/bYfafZH0H0eWU1JawPmc9a7LXsPPsThp1I5E+kUxOmMzk+MkMihjU/oFtjXXGjLfZW42k\nkbsLGqqMc6E9jISROMZ4DHSyWZ2tRCb4c2L5F2uY88ZWvNxdWPT4aML9PeFiLvzzbmNKg+mvGFN5\nSw8M0UUU1RSxNnsta7LXsPvcbszaTKxfLFMSpjAlYQr9w/rbtkdS81gNS9LI2QF1Zca5oIRL1VMJ\noyA4qVP827TmGtdbtNZjlFIVNK+BaJzCGEzn0FagjpgkAA7mXuQb72ynV1QAn8zywes/90BDDXzj\nI0ie4OjwhLC5opoi1mSvYU32Gvae24tZm0kMSGRKwhSmJk6lV3Avx3VVNZvg3FFLm4YlcTQtyuQf\nfWmcRuIYo9dhB0waUpLoAFYfLeTf/3yXv3i8jmdAGOreTyHCiiOzhXAyTYlh9ZnV7Du3D40mOTCZ\nqYlTmZIwhR5BPZxzDEPTxIXZWy61a1QWGud8wi5NJZIwypiPqgPM82T13k1Kqd9orZ+50THRetNq\nVjDF4/ccNcWxPvkNnpIEITqhpqqk1dmr2VO4B42me2B3FgxcwNSEqaQEpzg6xBtzcYGI3sY29DvG\nAL+SzBajwrcaywIDeAZcmh49YTR0S+twU6S31JbeTVOAyxPCjKscEzdiNsPa/4Gtf0D1mMZirx/z\n3vYLhEXl8M3h8Y6OToh2K60tZU32Gr4480VzG0NSYFLHSgzXo5SxqFJod2MMExjtijnbL1VPnfrC\nOO7mbQyAbZpOJHZoh5pr7YZJQin1GPA4kGwZUNfEH9hmq8A6LbMZPn8S9v8D0h9GzXiVn+LC6fI9\nPLfkCDHB3ozvGe7oKIVos7K6MtblrGPVmVXsPLsTkzaRGJDII6mPMC1xGilBKc5ZlWQtQXHGNuBu\nY7/y/KXFxVpnAAAgAElEQVSZbrO3wsbfANoY4BedZpkifZQx/5p3sENDv57WNFwHAsHAr4FnW5yq\n0FqX2DC2VulQbRJmEyx5Ag7+E8Y/CxOebW7wqqxr5K63tpNbUs1/vjuSvtEyKlQ4v6qGKtbnrmdV\n1iq2Fmyl0dxIjF8M0xOnMz1pumMbn51NzUVj5b6m2W7z94G5AVAQ2e/r62r4R9k8HJs0XCulgoEe\nQPMqOlrrTW24fzrwR8AVeFdr/co1rrsT+C8wVGt93QzQYZKE2QSLH4NDnxiT843/yRWXnC2r4fY/\nb6PBZOa/C0aRFObrgECFuL7axlo2529mZdZKNuVtos5UR5RvFNMSpjE9aTr9QvtJYmiN+mrI32PM\ncpuzzTJWo9o4F5z09aQRkmz1HlS2mLvpO8D3gVjgADACY+6mSa283xX4CqNtIw/YDczXWh+77Dp/\nYDngATzRKZKEqREWfReOfGosKzrux9e8NON8JXe/vR1vd1c+fWwk3QJlribheA3mBrYXbGdV1irW\n5a6jqqGKEK8QpiVOY0bSDAaGD8RFWXlhra7G1GCs2pdjmR49Z/ulbre+EZcaw+NHQGTqdadIbw1b\nJInDwFBgh9Y6TSnVG3hZa317K+8fCbygtZ5m2f8pgNb615dd9wfgS+DHwI87fJIwNcLCR+DoQpj8\nAoz54Q1vOZJfxvx3dhAR4Ml/vjuSUD9Pm4cpxOXM2sz+8/tZkbmCL7K/4GLdRfw9/JmSMIXpidMZ\nGjUUN5f2fVGJ62jqdpuzzRjcl70dynKMcx5+RgP4qCcgZfJNvbwtJvir1VrXKqVQSnlqrU8opXq1\n4f4YILfFfh7wtRVzlFKDgDit9TKl1DV/biulHgUeBYiPd+LeQKYGYxbXY0uM5UVHP9Wq2/rHBPLu\nt9P51vu7eOCD3fzzkeH4e8nCKML2tNacLD3JiswVrDyzksKqQrzdvJkQO4EZSTMYHTMaD9eO252z\nQ2nZ7Tb9IeNYWd6ltcKztxtzUtlYW5JEnlIqCFgMrFFKlQLZbbj/ahVqzcUYpZQL8BrwwI1eSGv9\nDvAOGCWJNsRgP2azUcV0bAlMe9lYKKgNhieH8pf7BvPoR3t5+G97+OihYXi5O/8AHdEx5VbksjJr\nJcszl5NZlombcmN0zGh+MPgHTIybeGl2VeFYgbGQeqex2UmrkoQyWqGe0lpfBF5QSq0HAoFVbXiv\nPKDlyuKxQEGLfX+gP7DB0ugVBSxVSs2+UZWT09Eavvi5seTi5BfanCCaTOodye/uHsgPPjnA4x/v\n4+37h+DuKvW+wjpKaktYlbWKFVkrOHjBWGRycMRgnhvxHFMTphLkFeTgCIUzaFWS0FprpdQKINWy\nv/Em3ms30EMplQTkA/cA32zxHmVAWNO+UmoDrWiTcErbXocdf4bhj8HoH7TrpeakxVBR28gvFh/h\nB/8+wB/uSZNEIW5adUM163PXszxzOdsKtmHSJnoG9+QHg3/ArUm30s2vneuwi06nLdVN+5RSQ7XW\nu2/mjbTWjUqpJ4DVGF1g39daH1VKvQjs0VovvZnXdTqH/gNrnoN+84xqJit0W7tvRAI19SZ+teI4\nZq350/xBkihEqzWaG9l5difLMpexNmctNY01RPlG8UC/B7gt+TZ6BPdwdIjCibWld9MJIAWjHaKK\nS7PAyvKlTU6vg4/vNrqo3fcZuFm3V9K7mzN5aflxpvaN5I1vDsbDTRKFuDqtNcdLjvP56c9ZmbWS\n4tpi/D38mZowlZnJMxkcOVi6rHZxtujdNK0d8XR+BQfgk/shvBfc87HVEwTAd8Ym4+aieOHzYzz+\n8V7evHcwnm7SmC0uOVt5luVZy/n89OdGA7SLG+NjxzMreRZjY8dKzyTRZm1JEo9fbRZYZII/KMmC\nj+8y5l+591Nj6UQbeWB0Eq4uiueWHOWxf+zjz/cOll5PXVxlfSVrstfweebn7C40aoMHRQziuRHP\nMS1xGoGetvv/UXR+Mgtse9WWGQnC3AD3LYMA2zf83T8yERcXxc8XHeG7f9/L2/cPkUTRxTSaG9lx\ndgdLTy9lXc466kx1JAQk8L2073Fb8m3E+cfd+EWEaIWbnQVWAX509VlgzWZYtABKs+BbS4yqJju5\nd3gCLkrx04WH+c7f9vDW/UPw85TRr53dyZKTLD29lBVZKyiqKSLQM5C5KXOZ3X02qWGpMmeSsLrW\nfKv8E1iJk84C61CbfwsnV8CMV41lDO1s/rB43F1deOazQ3zzrzv44IGhMoVHJ1RUU8SKzBUsPb2U\nk6UnpZ1B2FVbejd5AbcDibRILlrrF20SWSs5rHfTyVXwr3tgwDdg3lsOXeN27fFzfO+f++gW6M1H\nDw0jLkRGx3Z0daY61ueu5/PTn7M1fysmbSI1LJVZ3WcxI3GGDHQT7WaLCf5WAWXAXsDUdFxr/bub\nDdIaHJIkik/DOxMhOAEe/gLcHT9T697sEh78YDde7q787aFh9Okm61F0NFprDhUdYmnGUlaeWUlF\nfQURPhHMSp7F7O6zSQ5KdnSIohOxRZI4orXu3+7IrMzuSaKuAt6dbKw69d2NEOQ8EwyeLKzgW+/v\npLrexHvfHsqwpBBHhyRaobCqkGWZy1iSsYQz5WfwcvXiloRbmN19NsOjhuPqIp0ShPXZYpzENqVU\nqtb6cDvi6ti0hiXfM6bvvX+RUyUIgF5R/nz22Ci+9f4u7n9vJ6/PH8TUfrZf4Uq0XW1jLety1rHk\n9BK2F2xHoxkcMZgH+z/I1ISp+Hn4OTpEIYC2JYkxwANKqSygDicZcW1XW/9wadrv5AmOjuaqYoN9\n+HTBKB78cDcL/rGXn93ah4fHJEmvFyegteZw0WEWZyxmVdYqKhoq6ObbjUcGPMKc7nOID3CuHx1C\nQNuSxAybRdERZG+HtS9Cv9th1JOOjua6Qnw9+Ncjw/nRJwd5aflxTl+o5MU5/WW+Jwc5X32+uTop\nsywTL1cvJidMZm7KXIZGDZXpMYRTa9Ma187ILm0StWXwlzHGIiALtoCnv23fz0rMZs3v1pzkzfWn\nGWlZnyLIR7pL2kODqYENeRtYdGoRWwu2YtZmBkcMZk7KHKlOEk7B6m0SljUl7gWStdYvKqXigSit\n9a52xNkxrHgayvPhodUdJkEAuLgonp7Wm+7hfjz72WHmvrmV9x4YSvdw+YKylRMlJ1icsZjlmcu5\nWHeRCJ8IHur/EHO6zyExMNHR4QnRZm2pbvozYAYmAS8CFcBnGOted16HP4VDn8CEn0Fcx/yotw+O\nJT7Eh+/+fS/z3tzKn+8dwpgeYTe+UbRKWV0ZyzOXszhjMcdLjuPu4s6k+EnMTZnLyG4jpXeS6NDa\n0gV2n9Z6sFJqv9Z6kOXYQa31QJtGeAM2rW66mGNUM0X0hgdWgGvHnvYit6Sa7/xtDxkXKvnpjN7S\noN0OJrOJHWd3sChjEety1tFgbqBPSB/mpszltuTbZFI94fRs0QW2QSnlimVdaqVUOEbJonMym2Dh\nd0GbYd7bHT5BAMSF+PDpYyN5+r+HeGn5cfZml/LqnQPw93J3dGgdRm55LotPL2ZJxhLOVZ8jyDOI\nb/T6BnNT5tIrxH5zdwlhL2355vsTsAiIUEr9CrgTeM4mUTmDrX+AnG0w9y0ISXJ0NFbj7+XOX+4b\nzLubs3hl1QlOvrGVv9w3hF5RHaetxd5qGmv4MvtLFmUsYnfhblyUCyOjR/KToT9hQtwEmTtJdGpt\n6t2klOoN3IIxRmKt1vq4rQJrLZtUN+Xvg/emQJ9ZcOcHDp2XyZZ2ZhbzxL/2U1nbyK9vT2XuoBhH\nh+Q0tNYcLT7KwlMLWZm1ksqGSuL845iXMo9Z3WcR5SuDFEXHZotpOf4GfF9rfdGyHwz8Tmv9ULsi\nbSerJ4n6Knh7HDTUwGNbjYWEOrHz5bU88c/97DpTwv0jEvjFzD5derW70tpSlmUuY+GphWRczMDL\n1YupiVOZmzKXIZFDZEyD6DRs0SYxoClBAGitS5VSg24qOme2/mUozoBvf97pEwRARIAXHz8ynP9b\nfZJ3NmWyN7uUP81PIyWi61Q/mcwmtp/dzsJTC1mfu55GcyOpYak8P/J5pidOx9+j6/wthLhcW5KE\ni1IqWGtdCqCUCmnj/c6vYD/s+DMMeRCSxjk6Grtxd3XhZ7f2YVhiCD/57BC3/WkLv5jZl/uGx3fq\n3k95FXkszljM4ozFzY3Q9/S6h9t73E6P4B6ODk8Ip9CWL/nfAduVUv+17N8FvGz9kBzE1AhLnwLf\ncJj8gqOjcYjJfSNZFTeWH//3EM8tPsLGk+f5zR0DOtVCRnWmOtZmr2VhxkJ2nt2JQjEqehRPD32a\niXETpRFaiMu0teG6L8ZgOoB1WutjNomqDazWJrHtdfjiF3DX36Df3Pa/XgdmNms+3HaGV1aeIMDb\nnd/dPZDxPcMdHVa7nCw5ycJTC1mWuYzy+nJi/GKYkzKHud3n0s3P9uuSC+FsbDEthyeQBgRY7rtT\nKeXwlemsovSM0RbRcwb0nePoaBzOxUXx0JgkRnYP5fv/3s+339/Ft0Ym8Mz03vh2oHW0y+vLWZm5\nkoUZCzlWfAx3F3cmx09mXo95DO82XBqhhWiFtvyLX8KllenqbBOOA2gNy34EygVu+22n7e56M/p0\nC2DpE2P4zaoTfLjtDOtOnOeV2wc49ZQeWmv2nNvDwlMLWZO9hjpTHb2Ce/HssGeZmTxTRkIL0UZt\nSRKxWuvpNovEUQ5/CqfXwoxXITDW0dE4HS93V345qx+3pnbjmU8Pcd97O5k/LI6f3tqHACcaqX2+\n+jxLTy9l0alF5FTk4Ofux5zuc7i95+30DenbqRvghbClrr0yXXUJrHoWYobA0O84OhqnNjQxhBXf\nH8trX37FXzdlsv7EBX59eyoTe0c4LKYGcwOb8zaz6NQiNudvxqRNpEems2DgAiYnTMbbzfFrjwvR\n0XXtlem+eA5qL8KsJSAzdd6Ql7srP53Rh1v7d+PpTw/y4Ie7mZsWzc9u60OEv5fd4jhTdoaFGQtZ\nmrGU4tpiwrzDeKDfA8zrMY+EgAS7xSFEV9B1V6bL3AgH/gFjfgRR/R0dTYcyMC6Iz58cw5vrT/PW\nhtOsPX6e/ze1J/eNSMDNRqvfVTdU80X2Fyw6tYh95/fhqlwZGzuWO3rcwZiYMbi5dJwGdSE6kq67\nMt3BT2D76/DwGnCXaomblXmhkl8uPcrmU0X07RbA/87tz5AE64xU11pzpOgICzOM+ZOqGqpICEhg\nXso8ZnefTbhPx+6WK4QjWX3uJsuLDgTGWnY3a60P3mR8VtOucRJms7EkqWgXrTUrjxTy4ufHKCyv\n5e70WJ6Z3vumB+GV1Jaw7PQyFmUsIuNiBt5u3kxJmMLtPW5ncMRgaYQWwgpsMcHf94FHgIWWQ/OA\nd7TWr7chqOnAHwFX4F2t9SuXnf8R8B2gEbgAPKS1zr7ea9pljWvRKlV1jfxp7Sne25KFj4crT93S\ng/tHJrRqwkCT2cS2gm0syljUPH/SgLABzO0xlxmJM2RNaCGszBZJ4hAwUmtdZdn3Bba3tuHasmDR\nV8AUIA/YDcxvOWpbKTUR2Km1rlZKPQZM0Fp/43qvK0nC+Zw6V8H/Lj/Opq8uEB/iw7MzejOjf9RV\nSwC55bksyljE0tNLOVd9jmDPYGZ2n8m8lHkyf5IQNmSLWWAVYGqxb7Ica61hQIbWOtMS4L+BOUBz\nktBar29x/Q7gvja8vnASPSL9+eihYWz86gIvLz/O4x/vIz0hmJ/f1odB8cHUNNawJnsNi04tYs+5\nPbgoF0ZFj+KZYc8wIXYC7q7OM/5CiK6uLUniA2CnUmqRZX8u8F4b7o8Bclvs5wHDr3P9w8DKNry+\ncDLje4YzJiWM/+7J5bdrTnLH+/8mpfsxLrrsoqaxmjj/OJ4a9BSzu88m0jfS0eEKIa7ihklCKZUC\nRGqtf6+U2oAxXkIBTwH5bXivq5U6rlrXpZS6D0gHxl/j/KPAowDx8fFtCEHYW2ldMTU+a+nWdxF1\n5VkUNLpjqhjAmMgZPD9hJnEhvo4OUQhxHa0pSfwB+CmA1nofsA9AKZVqOTerle+VB8S12I8FCi6/\nSCk1Gfg5MF5rfdU5orTW7wDvgNEm0cr3F3bSYGpgU94mFmcsbh4JnRaexgsjX2Bw2Hg+2nqOj3fm\nMOnQRu4ZGs/3JqYQFWi/wXhCiNa7YcO1Umq31nroNc4d1lqntuqNlHLDaLi+BaMEshv4ptb6aItr\nBgGfAtO11qda87rScO08TpacZHHGYpZnLqe0rpRw73BmdZ/FnJQ5JAcmf+3as2U1vLEug0925+Li\norhveAILJiTbdeS2EF2Z1Xo3KaVOaa2v2s1EKZWhtU5pQ1C3YpQ+XIH3tda/Ukq9COzRWi9VSn0J\npAJnLbfkaK1nX+81JUk4VkltCSsyV7Dk9BJOlJzA3cWdCXETmJsyl1HRo244Ejq3pJo/rj3Fwn15\nuLm6cNeQWL47rjvxoT52+gRCdE3WTBL/wlhg6K+XHX8YmHqjLqq2JknC/hpMDWzK38TSjKVsyttE\no26kX2g/5qTMYUbiDIK8gtr8mmeKqnh702k+3ZuHWcOsAd14bEIKvaJkfWkhbMGaSSISWATUY6wl\nAUajsgcwT2td2M5Y20WShH1orTlWcoylGUtZkbWCi3UXCfUKZWbyTGanzKZncE+rvE9hWS3vbs7k\nn7tyqK43MblPBAvGd2dIQrCMtBbCimwxmG4i0DQT3lGt9bp2xGc1kiRs61zVOVZkrWDp6aVkXMzA\nw8WDifETmd19dquqk25WaVU9f9t+hg+2nqGspoEBsYE8NDqJW1O74eEmU6kI0V42mbvJGUmSsL7q\nhmrW5qxl6eml7Dy7E41mYPhAZnefzbTEaXZd3a26vpHP9uXzwdYsMi9UEeHvyf0jEvjm8PibnhtK\nCCFJQrSRyWxiZ+FOPj/9OWtz1lLTWEOMXwyzus9iZvJMh6/TYDZrNp26wPtbz7Dpqwt4uLkwZ2A0\n3xweT1pckFRFCdFGtpiWQ3QyTe0My04vY9WZVRTVFOHv4c9tybcxK3kWgyIGOc2Xr4uLYkKvCCb0\niiDjfAXvbz3D4v35/HdvHn27BfDN4fHMSYvG34mWVBWiM5CSRBeUW57L8qzlLM9czpnyM7i7uDMu\ndhy3Jd/GuNhxeLp2jGqcitoGlhwo4J87czh2thwfD1fmpEUzf1g8qTGBTpPghHBGUt0kvuZC9QVW\nn1nNyqyVHCo6BEB6ZDozk2cyOWGyXdsZrE1rzcG8Mv65M5ulBwuobTDTM9KPOwbHMm9QDBEBMkBP\niMtJkhCU1ZWxJnsNK7NWsrtwNxpN75DezEiawa1JtxLlG+XoEK2uvLaBzw8W8NnePPblXMRFwdge\n4dwxJJapfSPxcpe1zIUASRJdVkV9Betz17P6zGq2FWyj0dxIYkAiM5JmMD1p+hXTY3RmmRcqWbgv\nn4X78igoq8Xf042p/aKYObAbY1LCcLfRetxCdASSJLqQyvpKNuRtYHXWarYWbKXB3EA3325MS5zG\njKQZ9Anp06Xr581mzY7MYhbuz2f10UIqahsJ9nFnev8oZg2IZnhyKK4uXffvI7omSRKdXHl9ORtz\nN7Imew1b87dSb64n0ieSqYlTmZ44ndSw1C6dGK6lrtHEpq+KWHaogDXHzlFdbyLMz5Np/SKZ1i+K\nEcmhMlhPdAmSJDqhktoS1uesZ03OGnae3UmjuZEInwimJExheuJ0BoQPwEXJF1xr1dSbWH/yPMsO\nFbD+xAVqGkz4e7kxqXcE0/pFMb5nOL6e0ktcdE6SJDqJ/Mp81uesZ33uevac24NZm4n1i2VKwhQm\nJ0ymf1h/SQxWUNtgYsupIlYfLeTL4+corW7Aw82F0d1DmdTbGJ8RFyIz04rOQ5JEB6W15njJcdbl\nrGN97nq+Kv0KgJSgFCbFT2JKwhR6BfeSqiQbajSZ2ZNdyuqjhaw7cZ7s4moAUiL8mNgrnIm9I0hP\nCJFqKdGhSZLoQKobqtlVuItNeZvYnL+ZwqpCXJQLaeFpTIqfxMS4icQHyDKtjpJVVMW6E+fZcPI8\nOzNLqDeZ8fVwZURyKKNTwhjbI4yUCD9J3KJDkSTh5HIrctmct5lN+ZvYfXY39eZ6fNx8GBk9kglx\nExgfO55gr2BHhykuU1XXyJaMIjafusCWU0WcsZQyIgM8GZ0SxpiUMEYkhxId5O3gSIW4PkkSTqaq\noYrdhbvZVrCN7QXbOVN+BoCEgATGxoxlXOw4hkQOwcPVw7GBijbJLalma0YRWzKK2JpRRGl1AwBx\nId4MTwpleFIII5JDiQ32lpKGcCqSJByswdzAseJj7Dy7k20F2zh4/iCNuhFvN2/SI9MZFT2KsbFj\nHT67qrAes1lzvLCcnZkl7MwqZldWSXPSiA70Ij0xhCEJwQxJCKZ3lD9uMphPOJAkCTtrNDdyouQE\nuwp3satwF/vP7ae60aiK6BPSh1HRoxgVPYq0iDQpLXQRZrPm1PlKdmYVszOrhL1nSiksrwXA292V\ntLgghiQEMyg+iAGxQYT7d4yJFUXnIEnCxqobqjlafJT95/dz4PwB9p/fT2VDJQDJgckMjRrK0Kih\npEemE+odavf4hHMquFjD3uzS5u3Y2XJMZuPfYEyQNwPjAhkYaySN1NhA/GSchrARWU/CirTW5Fbk\ncrT4KAfOH+DAhQOcLDmJSZsA6B7YnRlJMxgWNYz0qHTCvMMcHLFwVtFB3kQHeTNrYDRgrLx3tKCc\ng7kXOZB7kUN5Zaw4fGnZ+KQwX/pGB9A/OpB+0QH0iw6QFfmEXUlJ4jJmbSa/Ip+jJUc5VnSMY8XG\nVtFQAYC3mzf9w/qTFp5GWkQaA8MHduhptoXzKamq52DeRY7klXG0oJwjBWXkldY0n48K8KJXlD+9\nu/nTO8qf3lEBdA/3k3Ebok2kJHEDWmvOVZ8j42IGpy+e5lTpKTIuZpBZlklNo/EP0t3FnZ7BPZme\nNJ1+of3oG9qXlOAU3F1k9TNhOyG+HkzsFcHEXhHNxy5W13OsoJyjBeUcO1vOicIKtp0uosFk/Mhz\nc1Ekh/vSI9KfHhF+9LQ8JoT6SvIQ7dJlSxJvH3ybNw680bwf5h1GSlBK89YntA89gnrg7ioJQTin\nBpOZrKIqjp8t52RhBScKK8g4X0luaTVN/6zdXBSJYb4kh/mSHO5nefQlKcyXEF8P6ZbbhUlJ4gbG\nxo4l0DOwOSkEeQU5OiQh2sTd1YWekf70jPT/2vGaehOnL1SScb6SU+crOHWuksyiKtafPN9c8gAI\n9HYnMcyXhBAfEkN9SAj1JcHyGOYnCUQYumxJQoiuptFkJv9iDZlFVWReqCLzQiXZxdVkl1SRX1qD\nucVXgY+HK7HB3sQF+xAX4mM8tzzGBvkQ4O0mSaSDk5KEEOJr3FxdLKUFXyb2+vq5+kYzeaXVZBdX\nc6a4ipySavJKa8gtqWZnVgmVdY1fu97Xw5XoIG9igo3eWjFB3kQFeNEt0Isoy+bjIV8vnYH8VxRC\n4OHmYrRZhPtdcU5rzcXqBnJLjcRRcLGG/Is15JfWUFBWw6G8Mkqq6q+4L9DbnW6BXkQEeBHp70lk\ngBcRAZ5E+HsRGeBJRIAXYX4eeLrJuuPOTJKEEOK6lFIE+3oQ7OvBgNirt93V1JsoLK/lbFkNhWW1\nnC2rbX68UFHLV4UVXKisax442FKAlxvh/p6E+Xk2P4b5eRDq50morwehfh6E+noS4ueBv6dUc9mb\nJAkhRLt5e7iSFGb0mroWk1lTXFXH+fI6zpXXUlRZx4UKYyuqrOdCRR1HC8opqqij4rLqrSburopg\nHw9CfD0uPfq6E+zjQaC38Rjs606gtwfBPu4EehubzJN18yRJCCHswtVFEeHvRYS/F/1jrj8Ata7R\nRElVPcWV9RRV1lFcWU9xVR2l1Q2UVtVTXFVPaVU9xwvLKa2qp6ymgasUUpr5eboR6O1OgLc7gd6W\n517u+Hu5E+DtZjx6XXr0szz383TD38sNTzeXLluCkSQhhHA6nm6udAv0pltg69blMJs1FbWNlFbX\nU1pdz8WaBi5W13OxuoGymktbueXxTFE15bUNVNQ2XtEofzXurgo/Tzd8Pd3wa9q8LPsebvh4uuLr\nYez7erri4+GGr4cr3h6u+Hq64e3uik/Tcw9XvN1dce8gpRu7Jgml1HTgj4Ar8K7W+pXLznsCHwFD\ngGLgG1rrM/aMUQjR8bi4KAJ93An0cSeRa1d5XU2jyUxlXSPlNY1fSxwVtQ2WR2OrqjOOV9YZz0uq\n6skpqaa6zkRVXSNV9Y3XLc1czt1V4WVJHt7urnh7uOHl7mI8d3fFq3lzufTodumYp7srQxKC6X6V\nzgbWZLckoZRyBd4EpgB5wG6l1FKt9bEWlz0MlGqtU5RS9wC/Ab5hrxiFEF2Pm6sLQT4eBPm0bwp/\nrTW1DWaq6o0kUl1vsmzG85p6E1X1jdRYntc0WDbL8+p6E7UNxlZe20Btg5maFsdqG81XNPz/al7/\nzpMkgGFAhtY6E0Ap9W9gDtAyScwBXrA8/xR4QymldEcf8SeE6PSUUkZVkocrYTaaqbfRZKa20dyc\nOAK8bT9tkD2TRAyQ22I/Dxh+rWu01o1KqTIgFCiydjCFL79M3fET1n5ZIYSwm+o+vQn42c9s+h72\nbDm5WteAy0sIrbkGpdSjSqk9Sqk9Fy5csEpwQgghrmTPkkQeENdiPxYouMY1eUopNyAQKLn8hbTW\n7wDvgDF3080EE2Xj7CuEEJ2BPUsSu4EeSqkkpZQHcA+w9LJrlgLftjy/E1gn7RFCCOE4ditJWNoY\nngBWY3SBfV9rfVQp9SKwR2u9FHgP+LtSKgOjBHGPveITQghxJbuOk9BarwBWXHbs+RbPa4G77BmT\nEEKIa+sYQ/6EEEI4hCQJIYQQ1yRJQgghxDVJkhBCCHFNkiSEEEJck+rowxCUUheA7Ju8PQwbTPnh\n5PUGNjoAAAbUSURBVOQzdw3ymbuG9nzmBK11+I0u6vBJoj2UUnu01umOjsOe5DN3DfKZuwZ7fGap\nbhJCCHFNkiSEEEJcU1dPEu84OgAHkM/cNchn7hps/pm7dJuEEEKI6+vqJQkhhBDX0WWThFJqulLq\npFIqQyn1rKPjsQWlVJxSar1S6rhS6qhS6vuW4yFKqTVKqVOWx2BHx2pNSilXpdR+pdQyy36SUmqn\n5fN+YpmqvtNQSgUppT5VSp2w/Lce2QX+G//Q8v/0EaXUv5RSXp3tv7NS6n2l1Hml1JEWx/5/e3cW\nI0URx3H8+0O8RYx4IaiI4kGMHCKiKCLy4BXRiFFEBY8YE+9ojPrgkXjHqHiEBxHFaDR4RPfJC1BM\niIoICAEfFA2HHGrEO178fKgaGdft3SXMMLHn/0kmO9XdW109/935T1f3VLUZVyWP5PezTyQNrlU7\nmjJJSNoKeBw4GegPjJPUv7Gtqos/gettHwoMA67Ix3kTMMN2P2BGLpfJNcDSqvJ9wEP5eL8DLmlI\nq+pnEvC67UOAAaRjL22MJfUCrgaG2D6MNPXAuZQvzk8DJ7VaVhTXk4F++XEZMLlWjWjKJAEMBT6z\nvcz278ALwJgGt6nmbK+2/XF+/iPpzaMX6Vin5c2mAWc0poW1J6k3cCowJZcFjAJeypuU7Xh3BkaQ\n5mLB9u+211PiGGddge3zDJY7AKspWZxtz+a/M3MWxXUM8IyT94FdJPWsRTuaNUn0AlZUlVfmZaUl\nqQ8wCPgA2NP2akiJBNijcS2ruYeBG4ENudwDWG/7z1wuW6z7Al8DT+UutimSdqTEMba9CngAWE5K\nDt8D8yh3nCuK4lq397RmTRJqY1lpb/OStBPwMnCt7R8a3Z56kXQasM72vOrFbWxaplh3BQYDk20P\nAn6mRF1Lbcn98GOA/YG9gR1J3S2tlSnOHanb33mzJomVwD5V5d7AVw1qS11J2pqUIJ6z/UpevLZy\nKpp/rmtU+2psOHC6pC9JXYijSGcWu+RuCShfrFcCK21/kMsvkZJGWWMMMBr4wvbXtv8AXgGOodxx\nriiKa93e05o1ScwF+uW7IbYhXfRqaXCbai73xz8JLLX9YNWqFmBCfj4BeG1Lt60ebN9su7ftPqSY\nzrQ9HpgFjM2bleZ4AWyvAVZIOjgvOhFYQkljnC0HhknaIf+NV465tHGuUhTXFuDCfJfTMOD7SrfU\n5mraL9NJOoX0KXMrYKrtuxrcpJqTdCzwHrCIjX30t5CuS0wH9iX9w51tu/UFsv81SSOBG2yfJqkv\n6cxiV2A+cL7t3xrZvlqSNJB0oX4bYBlwEekDYGljLOkO4BzSHXzzgUtJffClibOk54GRpJFe1wK3\nAa/SRlxzsnyMdDfUL8BFtj+qSTuaNUmEEELoWLN2N4UQQuiESBIhhBAKRZIIIYRQKJJECCGEQpEk\nQgghFIokEUpNUg9JC/JjjaRVVeU5ddrnIElT6lF3J/b9dtlGfA2NFbfAhqYh6XbgJ9sP1Hk/LwJ3\n2l5Yp/q7Vo1R1HrdBKB3Gb/3ExojziRC05L0U/45UtK7kl6TtEzSvZLGS/pQ0iJJB+Ttdpf0sqS5\n+TG8jTq7AYfbXiipSx73f/e8rkse73+3orokDZU0Jw/WN6fyTWpJEyW1SJoJzJDUU9LsfEa0WNJx\nuQktwLj6v3qhWUSSCCEZAFwOHApcABxkeyjpm8xX5W0mkeYrOBI4K69rbQiwGMD2BuBZYHxeNxpY\naPubdur6FBiRB+u7Fbi7qu7BwFjbxwPnAW/YHpjbviDv8ztgW0k9NuO1COEfXTveJISmMLcy1o2k\nz4E38/JFwAn5+WigfxoBAYCdJXXLc3VU9CQN3V0xlTS+zsPAxcBT7dUFdAemSepHGsVz66q63qoa\nWmMuMDUP4Piq7QVV260jjY767SYcfwhtiiQRQlI9xs+GqvIGNv6fdAGOtv1rO/X8CmxXKdheIWmt\npFHAUWw8q2izLkmPArNsn5nnAHmnavXPVfXOljSCNMHS05IetP1MXr1dbkcImy26m0LovDeBKyuF\nPLBea0uBA1stm0Lqdppu+68O6uoOrMrPJxY1RNJ+pLkznsj1D87LBewFfNmZAwqhI5EkQui8q4Eh\nShPNLyFdw/gX258C3XPXUUULsBMbu5raq+t+4B5J82n/TH8ksCBvdw7pGgfAEcD7RXc/hbCp4hbY\nEGpM0nXAj7Yr82wPIV2kPq7936zJvicBLbZn1HtfoTnEmUQItTeZfE1D0k2kmQFv3kL7XhwJItRS\nnEmEEEIoFGcSIYQQCkWSCCGEUCiSRAghhEKRJEIIIRSKJBFCCKFQJIkQQgiF/gYItXMJ9EKZNgAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xa654828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.integrate import odeint\n",
    "from pylab import *\n",
    "%matplotlib inline\n",
    "\n",
    "# decay rates are global so they can be seen inside the function \n",
    "global lam\n",
    "lam = array([.04, .01, .000, .0])\n",
    "\n",
    "# define a function to represent coupled ordinary differential eqns.\n",
    "def dcdt(c,t):\n",
    "    dfdt = np.zeros(4)\n",
    "    dfdt[0] = c[0]* -lam[0] - c[0]*lam[3]\n",
    "    dfdt[1] = c[1]* -lam[1] + c[0]*lam[0] - c[1]*lam[3] \n",
    "    dfdt[2] = c[2]* -lam[2] + c[1]*lam[1] - c[2]*lam[3]\n",
    "    dfdt[3] =                 c[2]*lam[2] - c[3]*lam[3]\n",
    "    return dfdt\n",
    "    \n",
    "# intial concentration for four constituents\n",
    "C0 = array([.68, .23, .06, 0.])\n",
    "# time array\n",
    "t = linspace(0.0,100.,50)\n",
    "# call \n",
    "C = odeint(dcdt,C0,t)\n",
    "\n",
    "print \"Shape of the final concentration matrix: \",shape(C)\n",
    "fig = plt.figure()\n",
    "plt.plot(t,C[:,0],label='$DDE$')\n",
    "plt.plot(t,C[:,1],label='$DDMU$')\n",
    "plt.plot(t,C[:,2],label='$DDNU$')\n",
    "plt.plot(t,C[:,3],label='?')\n",
    "plt.plot(t,np.sum(C,1),label='Total')\n",
    "plt.xlabel('Time (years)')\n",
    "plt.ylabel('Concentration ($\\mu$mol / kg)')\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variable                     Type                          Data/Info\n",
      "--------------------------------------------------------------------\n",
      "ALLOW_THREADS                int                           1\n",
      "Annotation                   type                          <class 'matplotlib.text.Annotation'>\n",
      "Arrow                        type                          <class 'matplotlib.patches.Arrow'>\n",
      "Artist                       type                          <class 'matplotlib.artist.Artist'>\n",
      "AutoLocator                  type                          <class 'matplotlib.ticker.AutoLocator'>\n",
      "Axes                         type                          <class 'matplotlib.axes._axes.Axes'>\n",
      "BUFSIZE                      int                           8192\n",
      "Button                       type                          <class 'matplotlib.widgets.Button'>\n",
      "C                            ndarray                       50Lx4L: 200 elems, type `float64`, 1600 bytes\n",
      "C0                           ndarray                       4L: 4 elems, type `float64`, 32 bytes\n",
      "CLIP                         int                           0\n",
      "Circle                       type                          <class 'matplotlib.patches.Circle'>\n",
      "ComplexWarning               type                          <class 'numpy.core.numeric.ComplexWarning'>\n",
      "DAILY                        int                           3\n",
      "DataSource                   type                          <class 'numpy.lib._datasource.DataSource'>\n",
      "DateFormatter                type                          <class 'matplotlib.dates.DateFormatter'>\n",
      "DateLocator                  type                          <class 'matplotlib.dates.DateLocator'>\n",
      "DayLocator                   type                          <class 'matplotlib.dates.DayLocator'>\n",
      "ERR_CALL                     int                           3\n",
      "ERR_DEFAULT                  int                           521\n",
      "ERR_IGNORE                   int                           0\n",
      "ERR_LOG                      int                           5\n",
      "ERR_PRINT                    int                           4\n",
      "ERR_RAISE                    int                           2\n",
      "ERR_WARN                     int                           1\n",
      "FLOATING_POINT_SUPPORT       int                           1\n",
      "FPE_DIVIDEBYZERO             int                           1\n",
      "FPE_INVALID                  int                           8\n",
      "FPE_OVERFLOW                 int                           2\n",
      "FPE_UNDERFLOW                int                           4\n",
      "FR                           weekday                       FR\n",
      "False_                       bool_                         False\n",
      "Figure                       type                          <class 'matplotlib.figure.Figure'>\n",
      "FigureCanvasBase             type                          <class 'matplotlib.backen<...>_bases.FigureCanvasBase'>\n",
      "FixedFormatter               type                          <class 'matplotlib.ticker.FixedFormatter'>\n",
      "FixedLocator                 type                          <class 'matplotlib.ticker.FixedLocator'>\n",
      "FormatStrFormatter           type                          <class 'matplotlib.ticker.FormatStrFormatter'>\n",
      "Formatter                    type                          <class 'matplotlib.ticker.Formatter'>\n",
      "FuncFormatter                type                          <class 'matplotlib.ticker.FuncFormatter'>\n",
      "GridSpec                     type                          <class 'matplotlib.gridspec.GridSpec'>\n",
      "HOURLY                       int                           4\n",
      "HourLocator                  type                          <class 'matplotlib.dates.HourLocator'>\n",
      "IndexDateFormatter           type                          <class 'matplotlib.dates.IndexDateFormatter'>\n",
      "IndexLocator                 type                          <class 'matplotlib.ticker.IndexLocator'>\n",
      "Inf                          float                         inf\n",
      "Infinity                     float                         inf\n",
      "LinAlgError                  type                          <class 'numpy.linalg.linalg.LinAlgError'>\n",
      "Line2D                       type                          <class 'matplotlib.lines.Line2D'>\n",
      "LinearLocator                type                          <class 'matplotlib.ticker.LinearLocator'>\n",
      "Locator                      type                          <class 'matplotlib.ticker.Locator'>\n",
      "LogFormatter                 type                          <class 'matplotlib.ticker.LogFormatter'>\n",
      "LogFormatterExponent         type                          <class 'matplotlib.ticker.LogFormatterExponent'>\n",
      "LogFormatterMathtext         type                          <class 'matplotlib.ticker.LogFormatterMathtext'>\n",
      "LogLocator                   type                          <class 'matplotlib.ticker.LogLocator'>\n",
      "MAXDIMS                      int                           32\n",
      "MAY_SHARE_BOUNDS             int                           0\n",
      "MAY_SHARE_EXACT              int                           -1\n",
      "MINUTELY                     int                           5\n",
      "MO                           weekday                       MO\n",
      "MONTHLY                      int                           1\n",
      "MachAr                       type                          <class 'numpy.core.machar.MachAr'>\n",
      "MaxNLocator                  type                          <class 'matplotlib.ticker.MaxNLocator'>\n",
      "MinuteLocator                type                          <class 'matplotlib.dates.MinuteLocator'>\n",
      "ModuleDeprecationWarning     type                          <class 'numpy._globals.ModuleDeprecationWarning'>\n",
      "MonthLocator                 type                          <class 'matplotlib.dates.MonthLocator'>\n",
      "MultipleLocator              type                          <class 'matplotlib.ticker.MultipleLocator'>\n",
      "NAN                          float                         nan\n",
      "NINF                         float                         -inf\n",
      "NZERO                        float                         -0.0\n",
      "NaN                          float                         nan\n",
      "Normalize                    type                          <class 'matplotlib.colors.Normalize'>\n",
      "NullFormatter                type                          <class 'matplotlib.ticker.NullFormatter'>\n",
      "NullLocator                  type                          <class 'matplotlib.ticker.NullLocator'>\n",
      "PINF                         float                         inf\n",
      "PZERO                        float                         0.0\n",
      "PackageLoader                type                          <class 'numpy._import_tools.PackageLoader'>\n",
      "PolarAxes                    type                          <class 'matplotlib.projections.polar.PolarAxes'>\n",
      "Polygon                      type                          <class 'matplotlib.patches.Polygon'>\n",
      "RAISE                        int                           2\n",
      "RRuleLocator                 type                          <class 'matplotlib.dates.RRuleLocator'>\n",
      "RankWarning                  type                          <class 'numpy.lib.polynomial.RankWarning'>\n",
      "Rectangle                    type                          <class 'matplotlib.patches.Rectangle'>\n",
      "SA                           weekday                       SA\n",
      "SECONDLY                     int                           6\n",
      "SHIFT_DIVIDEBYZERO           int                           0\n",
      "SHIFT_INVALID                int                           9\n",
      "SHIFT_OVERFLOW               int                           3\n",
      "SHIFT_UNDERFLOW              int                           6\n",
      "SU                           weekday                       SU\n",
      "ScalarFormatter              type                          <class 'matplotlib.ticker.ScalarFormatter'>\n",
      "ScalarType                   tuple                         n=32\n",
      "SecondLocator                type                          <class 'matplotlib.dates.SecondLocator'>\n",
      "Slider                       type                          <class 'matplotlib.widgets.Slider'>\n",
      "Subplot                      type                          <class 'matplotlib.axes._subplots.AxesSubplot'>\n",
      "SubplotTool                  type                          <class 'matplotlib.widgets.SubplotTool'>\n",
      "TH                           weekday                       TH\n",
      "TU                           weekday                       TU\n",
      "Text                         type                          <class 'matplotlib.text.Text'>\n",
      "TickHelper                   type                          <class 'matplotlib.ticker.TickHelper'>\n",
      "TooHardError                 type                          <class 'numpy.core._internal.TooHardError'>\n",
      "True_                        bool_                         True\n",
      "UFUNC_BUFSIZE_DEFAULT        int                           8192\n",
      "UFUNC_PYVALS_NAME            str                           UFUNC_PYVALS\n",
      "VisibleDeprecationWarning    type                          <class 'numpy._globals.Vi<...>sibleDeprecationWarning'>\n",
      "WE                           weekday                       WE\n",
      "WEEKLY                       int                           2\n",
      "WRAP                         int                           1\n",
      "WeekdayLocator               type                          <class 'matplotlib.dates.WeekdayLocator'>\n",
      "Widget                       type                          <class 'matplotlib.widgets.Widget'>\n",
      "YEARLY                       int                           0\n",
      "YearLocator                  type                          <class 'matplotlib.dates.YearLocator'>\n",
      "absolute                     ufunc                         <ufunc 'absolute'>\n",
      "absolute_import              __future__._Feature           _Feature((2, 5, 0, 'alpha<...>0, 0, 'alpha', 0), 16384)\n",
      "acorr                        function                      <function acorr at 0x0000000008CBDA58>\n",
      "add                          ufunc                         <ufunc 'add'>\n",
      "add_docstring                builtin_function_or_method    <built-in function add_docstring>\n",
      "add_newdoc                   function                      <function add_newdoc at 0x0000000004469D68>\n",
      "add_newdoc_ufunc             builtin_function_or_method    <built-in function _add_newdoc_ufunc>\n",
      "add_newdocs                  module                        <module 'numpy.add_newdoc<...>s\\numpy\\add_newdocs.pyc'>\n",
      "alen                         function                      <function alen at 0x0000000002782BA8>\n",
      "all                          function                      <function all at 0x0000000002782908>\n",
      "allclose                     function                      <function allclose at 0x0000000002786208>\n",
      "alltrue                      function                      <function alltrue at 0x0000000002782828>\n",
      "alterdot                     function                      <function alterdot at 0x000000000436EEB8>\n",
      "amap                         function                      <function amap at 0x00000000071D4748>\n",
      "amax                         function                      <function amax at 0x0000000002782AC8>\n",
      "amin                         function                      <function amin at 0x0000000002782B38>\n",
      "angle                        function                      <function angle at 0x0000000004468F28>\n",
      "angle_spectrum               function                      <function angle_spectrum at 0x0000000008CBDAC8>\n",
      "annotate                     function                      <function annotate at 0x0000000008CC7588>\n",
      "any                          function                      <function any at 0x0000000002782898>\n",
      "append                       function                      <function append at 0x0000000004469F28>\n",
      "apply_along_axis             function                      <function apply_along_axis at 0x00000000044BFE48>\n",
      "apply_over_axes              function                      <function apply_over_axes at 0x00000000044BFEB8>\n",
      "arange                       builtin_function_or_method    <built-in function arange>\n",
      "arccos                       ufunc                         <ufunc 'arccos'>\n",
      "arccosh                      ufunc                         <ufunc 'arccosh'>\n",
      "arcsin                       ufunc                         <ufunc 'arcsin'>\n",
      "arcsinh                      ufunc                         <ufunc 'arcsinh'>\n",
      "arctan                       ufunc                         <ufunc 'arctan'>\n",
      "arctan2                      ufunc                         <ufunc 'arctan2'>\n",
      "arctanh                      ufunc                         <ufunc 'arctanh'>\n",
      "argmax                       function                      <function argmax at 0x0000000002782198>\n",
      "argmin                       function                      <function argmin at 0x0000000002782208>\n",
      "argpartition                 function                      <function argpartition at 0x0000000002782048>\n",
      "argsort                      function                      <function argsort at 0x0000000002782128>\n",
      "argwhere                     function                      <function argwhere at 0x000000000436EC18>\n",
      "around                       function                      <function around at 0x0000000002782E48>\n",
      "array                        builtin_function_or_method    <built-in function array>\n",
      "array2string                 function                      <function array2string at 0x00000000027834A8>\n",
      "array_equal                  function                      <function array_equal at 0x00000000027862E8>\n",
      "array_equiv                  function                      <function array_equiv at 0x0000000002786358>\n",
      "array_repr                   function                      <function array_repr at 0x00000000027837B8>\n",
      "array_split                  function                      <function array_split at 0x00000000044C5128>\n",
      "array_str                    function                      <function array_str at 0x0000000002783D68>\n",
      "arrow                        function                      <function arrow at 0x0000000008CBDB38>\n",
      "asanyarray                   function                      <function asanyarray at 0x000000000436E9E8>\n",
      "asarray                      function                      <function asarray at 0x000000000436E978>\n",
      "asarray_chkfinite            function                      <function asarray_chkfini<...>te at 0x0000000004468C18>\n",
      "ascontiguousarray            function                      <function ascontiguousarr<...>ay at 0x000000000436EA58>\n",
      "asfarray                     function                      <function asfarray at 0x0000000004452198>\n",
      "asfortranarray               function                      <function asfortranarray at 0x000000000436EAC8>\n",
      "asmatrix                     function                      <function asmatrix at 0x000000000446D278>\n",
      "asscalar                     function                      <function asscalar at 0x00000000044525F8>\n",
      "atleast_1d                   function                      <function atleast_1d at 0x00000000027A0D68>\n",
      "atleast_2d                   function                      <function atleast_2d at 0x00000000027A7208>\n",
      "atleast_3d                   function                      <function atleast_3d at 0x00000000027A7278>\n",
      "autoscale                    function                      <function autoscale at 0x0000000008CC77B8>\n",
      "autumn                       function                      <function autumn at 0x0000000008CBD9E8>\n",
      "average                      function                      <function average at 0x0000000004468BA8>\n",
      "axes                         function                      <function axes at 0x0000000008CBC198>\n",
      "axhline                      function                      <function axhline at 0x0000000008CBDBA8>\n",
      "axhspan                      function                      <function axhspan at 0x0000000008CBDC18>\n",
      "axis                         function                      <function axis at 0x0000000008CBC7B8>\n",
      "axvline                      function                      <function axvline at 0x0000000008CBDC88>\n",
      "axvspan                      function                      <function axvspan at 0x0000000008CBDCF8>\n",
      "bar                          function                      <function bar at 0x0000000008CBDD68>\n",
      "barbs                        function                      <function barbs at 0x0000000008CC72E8>\n",
      "barh                         function                      <function barh at 0x0000000008CBDDD8>\n",
      "bartlett                     function                      <function bartlett at 0x0000000004469668>\n",
      "base_repr                    function                      <function base_repr at 0x0000000002786048>\n",
      "bench                        instancemethod                <bound method NoseTester.<...>t at 0x00000000044E00F0>>\n",
      "beta                         builtin_function_or_method    <built-in method beta of <...>ct at 0x00000000064E1798>\n",
      "binary_repr                  function                      <function binary_repr at 0x0000000002783F98>\n",
      "bincount                     builtin_function_or_method    <built-in function bincount>\n",
      "binomial                     builtin_function_or_method    <built-in method binomial<...>ct at 0x00000000064E1798>\n",
      "bitwise_and                  ufunc                         <ufunc 'bitwise_and'>\n",
      "bitwise_not                  ufunc                         <ufunc 'invert'>\n",
      "bitwise_or                   ufunc                         <ufunc 'bitwise_or'>\n",
      "bitwise_xor                  ufunc                         <ufunc 'bitwise_xor'>\n",
      "bivariate_normal             function                      <function bivariate_normal at 0x00000000071D4CF8>\n",
      "blackman                     function                      <function blackman at 0x00000000044695F8>\n",
      "bmat                         function                      <function bmat at 0x00000000044BA2E8>\n",
      "bone                         function                      <function bone at 0x0000000008CC7828>\n",
      "bool8                        type                          <type 'numpy.bool_'>\n",
      "bool_                        type                          <type 'numpy.bool_'>\n",
      "box                          function                      <function box at 0x0000000008CBC6D8>\n",
      "boxplot                      function                      <function boxplot at 0x0000000008CBDEB8>\n",
      "broadcast                    type                          <type 'numpy.broadcast'>\n",
      "broadcast_arrays             function                      <function broadcast_arrays at 0x00000000044BA668>\n",
      "broadcast_to                 function                      <function broadcast_to at 0x00000000044BA588>\n",
      "broken_barh                  function                      <function broken_barh at 0x0000000008CBDE48>\n",
      "busday_count                 builtin_function_or_method    <built-in function busday_count>\n",
      "busday_offset                builtin_function_or_method    <built-in function busday_offset>\n",
      "busdaycalendar               type                          <type 'numpy.busdaycalendar'>\n",
      "byte                         type                          <type 'numpy.int8'>\n",
      "byte_bounds                  function                      <function byte_bounds at 0x000000000443DC88>\n",
      "bytes                        type                          <type 'str'>\n",
      "bytes_                       type                          <type 'numpy.string_'>\n",
      "c_                           CClass                        <numpy.lib.index_tricks.C<...>ct at 0x000000000446BD30>\n",
      "can_cast                     builtin_function_or_method    <built-in function can_cast>\n",
      "cast                         _typedict                     {<type 'numpy.complex128'<...>> at 0x0000000004367748>}\n",
      "cbook                        module                        <module 'matplotlib.cbook<...>es\\matplotlib\\cbook.pyc'>\n",
      "cbrt                         ufunc                         <ufunc 'cbrt'>\n",
      "cdouble                      type                          <type 'numpy.complex128'>\n",
      "ceil                         ufunc                         <ufunc 'ceil'>\n",
      "center_matrix                function                      <function center_matrix at 0x00000000071D4DD8>\n",
      "cfloat                       type                          <type 'numpy.complex128'>\n",
      "char                         module                        <module 'numpy.core.defch<...>y\\core\\defchararray.pyc'>\n",
      "character                    type                          <type 'numpy.character'>\n",
      "chararray                    type                          <class 'numpy.core.defchararray.chararray'>\n",
      "chisquare                    builtin_function_or_method    <built-in method chisquar<...>ct at 0x00000000064E1798>\n",
      "choice                       builtin_function_or_method    <built-in method choice o<...>ct at 0x00000000064E1798>\n",
      "cholesky                     function                      <function cholesky at 0x00000000044DCB38>\n",
      "choose                       function                      <function choose at 0x0000000002771D68>\n",
      "cla                          function                      <function cla at 0x0000000008CC7358>\n",
      "clabel                       function                      <function clabel at 0x0000000008CBDF98>\n",
      "clf                          function                      <function clf at 0x0000000008CB9C18>\n",
      "clim                         function                      <function clim at 0x0000000008CBD048>\n",
      "clip                         function                      <function clip at 0x0000000002782668>\n",
      "clongdouble                  type                          <type 'numpy.complex128'>\n",
      "clongfloat                   type                          <type 'numpy.complex128'>\n",
      "close                        function                      <function close at 0x0000000008CB9AC8>\n",
      "cm                           module                        <module 'matplotlib.cm' f<...>kages\\matplotlib\\cm.pyc'>\n",
      "cohere                       function                      <function cohere at 0x0000000008CBDF28>\n",
      "colorbar                     function                      <function colorbar at 0x0000000008CBCF98>\n",
      "colormaps                    function                      <function colormaps at 0x0000000008CBCEB8>\n",
      "colors                       function                      <function colors at 0x0000000008CBCE48>\n",
      "column_stack                 function                      <function column_stack at 0x00000000044BFF98>\n",
      "common_type                  function                      <function common_type at 0x00000000044526D8>\n",
      "compare_chararrays           builtin_function_or_method    <built-in function compare_chararrays>\n",
      "complex128                   type                          <type 'numpy.complex128'>\n",
      "complex64                    type                          <type 'numpy.complex64'>\n",
      "complex_                     type                          <type 'numpy.complex128'>\n",
      "complexfloating              type                          <type 'numpy.complexfloating'>\n",
      "compress                     function                      <function compress at 0x00000000027825F8>\n",
      "concatenate                  builtin_function_or_method    <built-in function concatenate>\n",
      "cond                         function                      <function cond at 0x00000000044DCEB8>\n",
      "conj                         ufunc                         <ufunc 'conjugate'>\n",
      "conjugate                    ufunc                         <ufunc 'conjugate'>\n",
      "connect                      function                      <function connect at 0x0000000008CB9B38>\n",
      "contour                      function                      <function contour at 0x0000000008CC5048>\n",
      "contourf                     function                      <function contourf at 0x0000000008CC50B8>\n",
      "convolve                     function                      <function convolve at 0x000000000436EDD8>\n",
      "cool                         function                      <function cool at 0x0000000008CC7898>\n",
      "copper                       function                      <function copper at 0x0000000008CC7908>\n",
      "copy                         function                      <function copy at 0x0000000004468D68>\n",
      "copysign                     ufunc                         <ufunc 'copysign'>\n",
      "copyto                       builtin_function_or_method    <built-in function copyto>\n",
      "corrcoef                     function                      <function corrcoef at 0x0000000004469588>\n",
      "correlate                    function                      <function correlate at 0x000000000436ED68>\n",
      "cos                          ufunc                         <ufunc 'cos'>\n",
      "cosh                         ufunc                         <ufunc 'cosh'>\n",
      "count_nonzero                builtin_function_or_method    <built-in function count_nonzero>\n",
      "cov                          function                      <function cov at 0x0000000004469358>\n",
      "cross                        function                      <function cross at 0x0000000002771278>\n",
      "csd                          function                      <function csd at 0x0000000008CC5128>\n",
      "csingle                      type                          <type 'numpy.complex64'>\n",
      "csv2rec                      function                      <function csv2rec at 0x0000000007196C88>\n",
      "ctypeslib                    module                        <module 'numpy.ctypeslib'<...>ges\\numpy\\ctypeslib.pyc'>\n",
      "cumprod                      function                      <function cumprod at 0x0000000002782C88>\n",
      "cumproduct                   function                      <function cumproduct at 0x00000000027829E8>\n",
      "cumsum                       function                      <function cumsum at 0x0000000002782978>\n",
      "cycler                       function                      <function cycler at 0x0000000006E08AC8>\n",
      "date2num                     function                      <function date2num at 0x000000000709FEB8>\n",
      "datestr2num                  function                      <function datestr2num at 0x000000000709FC88>\n",
      "datetime                     module                        <module 'datetime' (built-in)>\n",
      "datetime64                   type                          <type 'numpy.datetime64'>\n",
      "datetime_as_string           builtin_function_or_method    <built-in function datetime_as_string>\n",
      "datetime_data                builtin_function_or_method    <built-in function datetime_data>\n",
      "dcdt                         function                      <function dcdt at 0x0000000008CD6278>\n",
      "dedent                       function                      <function dedent at 0x0000000006B5BD68>\n",
      "deg2rad                      ufunc                         <ufunc 'deg2rad'>\n",
      "degrees                      ufunc                         <ufunc 'degrees'>\n",
      "delaxes                      function                      <function delaxes at 0x0000000008CBC208>\n",
      "delete                       function                      <function delete at 0x0000000004469E48>\n",
      "demean                       function                      <function demean at 0x00000000071DEDD8>\n",
      "deprecate                    function                      <function deprecate at 0x000000000443DAC8>\n",
      "deprecate_with_doc           function                      <function <lambda> at 0x000000000443DC18>\n",
      "det                          function                      <function det at 0x00000000044DF0B8>\n",
      "detrend                      function                      <function detrend at 0x00000000071DEE48>\n",
      "detrend_linear               function                      <function detrend_linear at 0x00000000071DEC88>\n",
      "detrend_mean                 function                      <function detrend_mean at 0x00000000071DED68>\n",
      "detrend_none                 function                      <function detrend_none at 0x00000000071DECF8>\n",
      "diag                         function                      <function diag at 0x0000000004468208>\n",
      "diag_indices                 function                      <function diag_indices at 0x00000000044BF0B8>\n",
      "diag_indices_from            function                      <function diag_indices_fr<...>om at 0x00000000044BF128>\n",
      "diagflat                     function                      <function diagflat at 0x0000000004468278>\n",
      "diagonal                     function                      <function diagonal at 0x00000000027823C8>\n",
      "diff                         function                      <function diff at 0x0000000004468E48>\n",
      "digitize                     builtin_function_or_method    <built-in function digitize>\n",
      "dirichlet                    builtin_function_or_method    <built-in method dirichle<...>ct at 0x00000000064E1798>\n",
      "disconnect                   function                      <function disconnect at 0x0000000008CB9BA8>\n",
      "disp                         function                      <function disp at 0x00000000044692E8>\n",
      "dist                         function                      <function dist at 0x00000000071D4AC8>\n",
      "dist_point_to_segment        function                      <function dist_point_to_s<...>nt at 0x00000000071D49E8>\n",
      "distances_along_curve        function                      <function distances_along<...>ve at 0x00000000071FA908>\n",
      "divide                       ufunc                         <ufunc 'divide'>\n",
      "division                     __future__._Feature           _Feature((2, 2, 0, 'alpha<...> 0, 0, 'alpha', 0), 8192)\n",
      "docstring                    module                        <module 'matplotlib.docst<...>atplotlib\\docstring.pyc'>\n",
      "dot                          builtin_function_or_method    <built-in function dot>\n",
      "double                       type                          <type 'numpy.float64'>\n",
      "drange                       function                      <function drange at 0x00000000070910B8>\n",
      "draw                         function                      <function draw at 0x0000000008CB9C88>\n",
      "draw_all                     instancemethod                <bound method type.draw_a<...>lib._pylab_helpers.Gcf'>>\n",
      "draw_if_interactive          function                      <function draw_if_interac<...>ve at 0x0000000008CB6E48>\n",
      "dsplit                       function                      <function dsplit at 0x00000000044C52E8>\n",
      "dstack                       function                      <function dstack at 0x00000000044C5048>\n",
      "dtype                        type                          <type 'numpy.dtype'>\n",
      "e                            float                         2.71828182846\n",
      "ediff1d                      function                      <function ediff1d at 0x00000000044DF908>\n",
      "eig                          function                      <function eig at 0x00000000044DCD68>\n",
      "eigh                         function                      <function eigh at 0x00000000044DCDD8>\n",
      "eigvals                      function                      <function eigvals at 0x00000000044DCC18>\n",
      "eigvalsh                     function                      <function eigvalsh at 0x00000000044DCC88>\n",
      "einsum                       builtin_function_or_method    <built-in function einsum>\n",
      "emath                        module                        <module 'numpy.lib.scimat<...>s\\numpy\\lib\\scimath.pyc'>\n",
      "empty                        builtin_function_or_method    <built-in function empty>\n",
      "empty_like                   builtin_function_or_method    <built-in function empty_like>\n",
      "entropy                      function                      <function entropy at 0x00000000071DE3C8>\n",
      "epoch2num                    function                      <function epoch2num at 0x000000000709A9E8>\n",
      "equal                        ufunc                         <ufunc 'equal'>\n",
      "errorbar                     function                      <function errorbar at 0x0000000008CC5198>\n",
      "errstate                     type                          <class 'numpy.core.numeric.errstate'>\n",
      "euler_gamma                  float                         0.577215664902\n",
      "eventplot                    function                      <function eventplot at 0x0000000008CC5208>\n",
      "exception_to_str             function                      <function exception_to_str at 0x0000000006B5BBA8>\n",
      "exp                          ufunc                         <ufunc 'exp'>\n",
      "exp2                         ufunc                         <ufunc 'exp2'>\n",
      "exp_safe                     function                      <function exp_safe at 0x00000000071D4828>\n",
      "expand_dims                  function                      <function expand_dims at 0x00000000044BFF28>\n",
      "expm1                        ufunc                         <ufunc 'expm1'>\n",
      "exponential                  builtin_function_or_method    <built-in method exponent<...>ct at 0x00000000064E1798>\n",
      "extract                      function                      <function extract at 0x0000000004469208>\n",
      "eye                          function                      <function eye at 0x0000000004468198>\n",
      "f                            builtin_function_or_method    <built-in method f of mtr<...>ct at 0x00000000064E1798>\n",
      "fabs                         ufunc                         <ufunc 'fabs'>\n",
      "fastCopyAndTranspose         builtin_function_or_method    <built-in function _fastCopyAndTranspose>\n",
      "fft                          function                      <function fft at 0x000000000644EDD8>\n",
      "fft2                         function                      <function fft2 at 0x00000000042A3278>\n",
      "fftfreq                      function                      <function fftfreq at 0x00000000042A35F8>\n",
      "fftn                         function                      <function fftn at 0x00000000042A3198>\n",
      "fftpack                      module                        <module 'numpy.fft.fftpac<...>s\\numpy\\fft\\fftpack.pyc'>\n",
      "fftpack_lite                 module                        <module 'numpy.fft.fftpac<...>py\\fft\\fftpack_lite.pyd'>\n",
      "fftshift                     function                      <function fftshift at 0x00000000042A3518>\n",
      "fftsurr                      function                      <function fftsurr at 0x00000000071D4908>\n",
      "fig                          Figure                        Figure(432x288)\n",
      "figaspect                    function                      <function figaspect at 0x0000000008BF12E8>\n",
      "figimage                     function                      <function figimage at 0x0000000008CB9F98>\n",
      "figlegend                    function                      <function figlegend at 0x0000000008CB9CF8>\n",
      "fignum_exists                function                      <function fignum_exists at 0x0000000008CB9908>\n",
      "figtext                      function                      <function figtext at 0x0000000008CB9EB8>\n",
      "figure                       function                      <function figure at 0x0000000008CB97B8>\n",
      "fill                         function                      <function fill at 0x0000000008CC52E8>\n",
      "fill_between                 function                      <function fill_between at 0x0000000008CC5358>\n",
      "fill_betweenx                function                      <function fill_betweenx at 0x0000000008CC53C8>\n",
      "fill_diagonal                function                      <function fill_diagonal at 0x00000000044BA748>\n",
      "find                         function                      <function find at 0x00000000071DE358>\n",
      "find_common_type             function                      <function find_common_type at 0x0000000003E25048>\n",
      "findobj                      function                      <function findobj at 0x0000000008CB9208>\n",
      "finfo                        type                          <class 'numpy.core.getlimits.finfo'>\n",
      "fix                          function                      <function fix at 0x000000000444DF98>\n",
      "flag                         function                      <function flag at 0x0000000008CC7978>\n",
      "flatiter                     type                          <type 'numpy.flatiter'>\n",
      "flatnonzero                  function                      <function flatnonzero at 0x000000000436EC88>\n",
      "flatten                      function                      <function flatten at 0x0000000006B7BDD8>\n",
      "flexible                     type                          <type 'numpy.flexible'>\n",
      "fliplr                       function                      <function fliplr at 0x0000000004468048>\n",
      "flipud                       function                      <function flipud at 0x00000000044680B8>\n",
      "float16                      type                          <type 'numpy.float16'>\n",
      "float32                      type                          <type 'numpy.float32'>\n",
      "float64                      type                          <type 'numpy.float64'>\n",
      "float_                       type                          <type 'numpy.float64'>\n",
      "floating                     type                          <type 'numpy.floating'>\n",
      "floor                        ufunc                         <ufunc 'floor'>\n",
      "floor_divide                 ufunc                         <ufunc 'floor_divide'>\n",
      "fmax                         ufunc                         <ufunc 'fmax'>\n",
      "fmin                         ufunc                         <ufunc 'fmin'>\n",
      "fmod                         ufunc                         <ufunc 'fmod'>\n",
      "format_parser                classobj                      numpy.core.records.format_parser\n",
      "frange                       function                      <function frange at 0x00000000071D44A8>\n",
      "frexp                        ufunc                         <ufunc 'frexp'>\n",
      "frombuffer                   builtin_function_or_method    <built-in function frombuffer>\n",
      "fromfile                     builtin_function_or_method    <built-in function fromfile>\n",
      "fromfunction                 function                      <function fromfunction at 0x0000000002783EB8>\n",
      "fromiter                     builtin_function_or_method    <built-in function fromiter>\n",
      "frompyfunc                   builtin_function_or_method    <built-in function frompyfunc>\n",
      "fromregex                    function                      <function fromregex at 0x0000000006439BA8>\n",
      "fromstring                   builtin_function_or_method    <built-in function fromstring>\n",
      "full                         function                      <function full at 0x000000000436E828>\n",
      "full_like                    function                      <function full_like at 0x000000000436E898>\n",
      "fv                           function                      <function fv at 0x000000000643E208>\n",
      "gamma                        builtin_function_or_method    <built-in method gamma of<...>ct at 0x00000000064E1798>\n",
      "gca                          function                      <function gca at 0x0000000008CBC2E8>\n",
      "gcf                          function                      <function gcf at 0x0000000008CB9898>\n",
      "gci                          function                      <function gci at 0x0000000008CB94A8>\n",
      "generic                      type                          <type 'numpy.generic'>\n",
      "genfromtxt                   function                      <function genfromtxt at 0x0000000006439C18>\n",
      "geometric                    builtin_function_or_method    <built-in method geometri<...>ct at 0x00000000064E1798>\n",
      "get                          function                      <function getp at 0x000000000718AE48>\n",
      "get_array_wrap               function                      <function get_array_wrap at 0x00000000044C53C8>\n",
      "get_backend                  function                      <function get_backend at 0x0000000006F2E7B8>\n",
      "get_cmap                     function                      <function get_cmap at 0x0000000007130518>\n",
      "get_current_fig_manager      function                      <function get_current_fig<...>er at 0x0000000008CB9A58>\n",
      "get_figlabels                function                      <function get_figlabels at 0x0000000008CB99E8>\n",
      "get_fignums                  function                      <function get_fignums at 0x0000000008CB9978>\n",
      "get_include                  function                      <function get_include at 0x000000000443D9E8>\n",
      "get_plot_commands            function                      <function get_plot_comman<...>ds at 0x0000000008CBCDD8>\n",
      "get_printoptions             function                      <function get_printoptions at 0x0000000002783208>\n",
      "get_scale_docs               function                      <function get_scale_docs at 0x0000000008B34EB8>\n",
      "get_scale_names              function                      <function get_scale_names at 0x0000000008B345F8>\n",
      "get_sparse_matrix            function                      <function get_sparse_matr<...>ix at 0x00000000071D4C18>\n",
      "get_state                    builtin_function_or_method    <built-in method get_stat<...>ct at 0x00000000064E1798>\n",
      "get_xyz_where                function                      <function get_xyz_where at 0x00000000071D4C88>\n",
      "getbuffer                    builtin_function_or_method    <built-in function getbuffer>\n",
      "getbufsize                   function                      <function getbufsize at 0x0000000002786518>\n",
      "geterr                       function                      <function geterr at 0x0000000002786438>\n",
      "geterrcall                   function                      <function geterrcall at 0x00000000027865F8>\n",
      "geterrobj                    builtin_function_or_method    <built-in function geterrobj>\n",
      "getp                         function                      <function getp at 0x000000000718AE48>\n",
      "ginput                       function                      <function ginput at 0x0000000008CB9DD8>\n",
      "gradient                     function                      <function gradient at 0x0000000004468DD8>\n",
      "gray                         function                      <function gray at 0x0000000008CC79E8>\n",
      "greater                      ufunc                         <ufunc 'greater'>\n",
      "greater_equal                ufunc                         <ufunc 'greater_equal'>\n",
      "grid                         function                      <function grid at 0x0000000008CC73C8>\n",
      "griddata                     function                      <function griddata at 0x00000000071FA208>\n",
      "gumbel                       builtin_function_or_method    <built-in method gumbel o<...>ct at 0x00000000064E1798>\n",
      "half                         type                          <type 'numpy.float16'>\n",
      "hamming                      function                      <function hamming at 0x0000000004469748>\n",
      "hanning                      function                      <function hanning at 0x00000000044696D8>\n",
      "helper                       module                        <module 'numpy.fft.helper<...>es\\numpy\\fft\\helper.pyc'>\n",
      "hexbin                       function                      <function hexbin at 0x0000000008CC5438>\n",
      "hfft                         function                      <function hfft at 0x000000000644EF98>\n",
      "hist                         function                      <function hist at 0x0000000008CC54A8>\n",
      "hist2d                       function                      <function hist2d at 0x0000000008CC5518>\n",
      "histogram                    function                      <function histogram at 0x0000000004468AC8>\n",
      "histogram2d                  function                      <function histogram2d at 0x00000000044684A8>\n",
      "histogramdd                  function                      <function histogramdd at 0x0000000004468B38>\n",
      "hlines                       function                      <function hlines at 0x0000000008CC55F8>\n",
      "hold                         function                      <function hold at 0x0000000008CBC048>\n",
      "hot                          function                      <function hot at 0x0000000008CC7A58>\n",
      "hsplit                       function                      <function hsplit at 0x00000000044C5208>\n",
      "hstack                       function                      <function hstack at 0x00000000027A7358>\n",
      "hsv                          function                      <function hsv at 0x0000000008CC7AC8>\n",
      "hypergeometric               builtin_function_or_method    <built-in method hypergeo<...>ct at 0x00000000064E1798>\n",
      "hypot                        ufunc                         <ufunc 'hypot'>\n",
      "i0                           function                      <function i0 at 0x0000000004469908>\n",
      "identity                     function                      <function identity at 0x0000000002786198>\n",
      "ifft                         function                      <function ifft at 0x000000000644EE48>\n",
      "ifft2                        function                      <function ifft2 at 0x00000000042A32E8>\n",
      "ifftn                        function                      <function ifftn at 0x00000000042A3208>\n",
      "ifftshift                    function                      <function ifftshift at 0x00000000042A3588>\n",
      "ihfft                        function                      <function ihfft at 0x00000000042A3048>\n",
      "iinfo                        type                          <class 'numpy.core.getlimits.iinfo'>\n",
      "imag                         function                      <function imag at 0x0000000004452278>\n",
      "imread                       function                      <function imread at 0x0000000008CBD198>\n",
      "imsave                       function                      <function imsave at 0x0000000008CBD208>\n",
      "imshow                       function                      <function imshow at 0x0000000008CC5668>\n",
      "in1d                         function                      <function in1d at 0x00000000044E2668>\n",
      "index_exp                    IndexExpression               <numpy.lib.index_tricks.I<...>ct at 0x0000000003FFCB00>\n",
      "indices                      function                      <function indices at 0x0000000002783E48>\n",
      "inexact                      type                          <type 'numpy.inexact'>\n",
      "inf                          float                         inf\n",
      "inferno                      function                      <function inferno at 0x0000000008CC7EB8>\n",
      "info                         module                        <module 'numpy.linalg.inf<...>s\\numpy\\linalg\\info.pyc'>\n",
      "infty                        float                         inf\n",
      "inner                        builtin_function_or_method    <built-in function inner>\n",
      "insert                       function                      <function insert at 0x0000000004469EB8>\n",
      "inside_poly                  function                      <function inside_poly at 0x00000000071FA3C8>\n",
      "install_repl_displayhook     function                      <function install_repl_di<...>ok at 0x0000000008CB9128>\n",
      "int0                         type                          <type 'numpy.int64'>\n",
      "int16                        type                          <type 'numpy.int16'>\n",
      "int32                        type                          <type 'numpy.int32'>\n",
      "int64                        type                          <type 'numpy.int64'>\n",
      "int8                         type                          <type 'numpy.int8'>\n",
      "int_                         type                          <type 'numpy.int32'>\n",
      "int_asbuffer                 builtin_function_or_method    <built-in function int_asbuffer>\n",
      "intc                         type                          <type 'numpy.int32'>\n",
      "integer                      type                          <type 'numpy.integer'>\n",
      "interactive                  function                      <function interactive at 0x0000000006F2E828>\n",
      "interp                       function                      <function interp at 0x0000000004468EB8>\n",
      "intersect1d                  function                      <function intersect1d at 0x00000000044E2588>\n",
      "intp                         type                          <type 'numpy.int64'>\n",
      "inv                          function                      <function inv at 0x00000000044DCAC8>\n",
      "invert                       ufunc                         <ufunc 'invert'>\n",
      "ioff                         function                      <function ioff at 0x0000000008CB9358>\n",
      "ion                          function                      <function ion at 0x0000000008CB93C8>\n",
      "ipmt                         function                      <function ipmt at 0x000000000643E358>\n",
      "irfft                        function                      <function irfft at 0x000000000644EF28>\n",
      "irfft2                       function                      <function irfft2 at 0x00000000042A34A8>\n",
      "irfftn                       function                      <function irfftn at 0x00000000042A3438>\n",
      "irr                          function                      <function irr at 0x000000000643E5F8>\n",
      "is_busday                    builtin_function_or_method    <built-in function is_busday>\n",
      "is_closed_polygon            function                      <function is_closed_polyg<...>on at 0x00000000071FA6D8>\n",
      "is_numlike                   function                      <function is_numlike at 0x0000000006B7BF28>\n",
      "is_string_like               function                      <function is_string_like at 0x0000000006BAD2E8>\n",
      "isclose                      function                      <function isclose at 0x0000000002786278>\n",
      "iscomplex                    function                      <function iscomplex at 0x00000000044522E8>\n",
      "iscomplexobj                 function                      <function iscomplexobj at 0x00000000044523C8>\n",
      "isfinite                     ufunc                         <ufunc 'isfinite'>\n",
      "isfortran                    function                      <function isfortran at 0x000000000436EBA8>\n",
      "ishold                       function                      <function ishold at 0x0000000008CBC0B8>\n",
      "isinf                        ufunc                         <ufunc 'isinf'>\n",
      "isinteractive                function                      <function isinteractive at 0x0000000008CB92E8>\n",
      "isnan                        ufunc                         <ufunc 'isnan'>\n",
      "isneginf                     function                      <function isneginf at 0x00000000044520B8>\n",
      "isposinf                     function                      <function isposinf at 0x0000000004452048>\n",
      "ispower2                     function                      <function ispower2 at 0x00000000071D4278>\n",
      "isreal                       function                      <function isreal at 0x0000000004452358>\n",
      "isrealobj                    function                      <function isrealobj at 0x0000000004452438>\n",
      "isscalar                     function                      <function isscalar at 0x0000000002783F28>\n",
      "issctype                     function                      <function issctype at 0x000000000435A978>\n",
      "issubclass_                  function                      <function issubclass_ at 0x000000000435AA58>\n",
      "issubdtype                   function                      <function issubdtype at 0x000000000435AB38>\n",
      "issubsctype                  function                      <function issubsctype at 0x000000000435AAC8>\n",
      "isvector                     function                      <function isvector at 0x00000000071D4198>\n",
      "iterable                     function                      <function iterable at 0x0000000004468748>\n",
      "ix_                          function                      <function ix_ at 0x00000000044BA6D8>\n",
      "jet                          function                      <function jet at 0x0000000008CC7B38>\n",
      "kaiser                       function                      <function kaiser at 0x0000000004469978>\n",
      "kron                         function                      <function kron at 0x00000000044C5438>\n",
      "l1norm                       function                      <function l1norm at 0x00000000071D45F8>\n",
      "l2norm                       function                      <function l2norm at 0x00000000071D4588>\n",
      "lam                          ndarray                       4L: 4 elems, type `float64`, 32 bytes\n",
      "lapack_lite                  module                        <module 'numpy.linalg.lap<...>\\linalg\\lapack_lite.pyd'>\n",
      "laplace                      builtin_function_or_method    <built-in method laplace <...>ct at 0x00000000064E1798>\n",
      "ldexp                        ufunc                         <ufunc 'ldexp'>\n",
      "left_shift                   ufunc                         <ufunc 'left_shift'>\n",
      "legend                       function                      <function legend at 0x0000000008CC7438>\n",
      "less                         ufunc                         <ufunc 'less'>\n",
      "less_equal                   ufunc                         <ufunc 'less_equal'>\n",
      "lexsort                      builtin_function_or_method    <built-in function lexsort>\n",
      "linalg                       module                        <module 'numpy.linalg.lin<...>numpy\\linalg\\linalg.pyc'>\n",
      "linspace                     function                      <function linspace at 0x00000000027A0828>\n",
      "little_endian                bool                          True\n",
      "load                         function                      <function load at 0x0000000006439278>\n",
      "loads                        builtin_function_or_method    <built-in function loads>\n",
      "loadtxt                      function                      <function loadtxt at 0x0000000006439A58>\n",
      "locator_params               function                      <function locator_params at 0x0000000008CC7668>\n",
      "log                          ufunc                         <ufunc 'log'>\n",
      "log10                        ufunc                         <ufunc 'log10'>\n",
      "log1p                        ufunc                         <ufunc 'log1p'>\n",
      "log2                         ufunc                         <ufunc 'log2'>\n",
      "logaddexp                    ufunc                         <ufunc 'logaddexp'>\n",
      "logaddexp2                   ufunc                         <ufunc 'logaddexp2'>\n",
      "logical_and                  ufunc                         <ufunc 'logical_and'>\n",
      "logical_not                  ufunc                         <ufunc 'logical_not'>\n",
      "logical_or                   ufunc                         <ufunc 'logical_or'>\n",
      "logical_xor                  ufunc                         <ufunc 'logical_xor'>\n",
      "logistic                     builtin_function_or_method    <built-in method logistic<...>ct at 0x00000000064E1798>\n",
      "loglog                       function                      <function loglog at 0x0000000008CC56D8>\n",
      "lognormal                    builtin_function_or_method    <built-in method lognorma<...>ct at 0x00000000064E1798>\n",
      "logseries                    builtin_function_or_method    <built-in method logserie<...>ct at 0x00000000064E1798>\n",
      "logspace                     function                      <function logspace at 0x00000000027A09E8>\n",
      "longcomplex                  type                          <type 'numpy.complex128'>\n",
      "longdouble                   type                          <type 'numpy.float64'>\n",
      "longest_contiguous_ones      function                      <function longest_contigu<...>es at 0x00000000071DE208>\n",
      "longest_ones                 function                      <function longest_ones at 0x00000000071DE198>\n",
      "longfloat                    type                          <type 'numpy.float64'>\n",
      "longlong                     type                          <type 'numpy.int64'>\n",
      "lookfor                      function                      <function lookfor at 0x000000000443DF98>\n",
      "lstsq                        function                      <function lstsq at 0x00000000044DF128>\n",
      "ma                           module                        <module 'numpy.ma' from '<...>s\\numpy\\ma\\__init__.pyc'>\n",
      "mafromtxt                    function                      <function mafromtxt at 0x0000000006439CF8>\n",
      "magma                        function                      <function magma at 0x0000000008CC7E48>\n",
      "magnitude_spectrum           function                      <function magnitude_spect<...>um at 0x0000000008CC5748>\n",
      "margins                      function                      <function margins at 0x0000000008CC7748>\n",
      "mask_indices                 function                      <function mask_indices at 0x0000000004468518>\n",
      "mat                          function                      <function asmatrix at 0x000000000446D278>\n",
      "math                         module                        <module 'math' (built-in)>\n",
      "matmul                       builtin_function_or_method    <built-in function matmul>\n",
      "matplotlib                   module                        <module 'matplotlib' from<...>matplotlib\\__init__.pyc'>\n",
      "matrix                       type                          <class 'numpy.matrixlib.defmatrix.matrix'>\n",
      "matrix_power                 function                      <function matrix_power at 0x000000000446D2E8>\n",
      "matrix_rank                  function                      <function matrix_rank at 0x00000000044DCF28>\n",
      "matshow                      function                      <function matshow at 0x0000000008CBD128>\n",
      "maximum                      ufunc                         <ufunc 'maximum'>\n",
      "maximum_sctype               function                      <function maximum_sctype at 0x000000000435A898>\n",
      "may_share_memory             builtin_function_or_method    <built-in function may_share_memory>\n",
      "mean                         function                      <function mean at 0x0000000002782F28>\n",
      "median                       function                      <function median at 0x0000000004469B38>\n",
      "memmap                       type                          <class 'numpy.core.memmap.memmap'>\n",
      "meshgrid                     function                      <function meshgrid at 0x0000000004469DD8>\n",
      "mgrid                        nd_grid                       <numpy.lib.index_tricks.n<...>ct at 0x000000000446BBA8>\n",
      "min_scalar_type              builtin_function_or_method    <built-in function min_scalar_type>\n",
      "minimum                      ufunc                         <ufunc 'minimum'>\n",
      "minorticks_off               function                      <function minorticks_off at 0x0000000008CBCC18>\n",
      "minorticks_on                function                      <function minorticks_on at 0x0000000008CBCBA8>\n",
      "mintypecode                  function                      <function mintypecode at 0x0000000004452128>\n",
      "mirr                         function                      <function mirr at 0x000000000643E6D8>\n",
      "mlab                         module                        <module 'matplotlib.mlab'<...>ges\\matplotlib\\mlab.pyc'>\n",
      "mod                          ufunc                         <ufunc 'remainder'>\n",
      "modf                         ufunc                         <ufunc 'modf'>\n",
      "movavg                       function                      <function movavg at 0x00000000071D4898>\n",
      "moveaxis                     function                      <function moveaxis at 0x0000000002771198>\n",
      "mpl                          module                        <module 'matplotlib' from<...>matplotlib\\__init__.pyc'>\n",
      "msort                        function                      <function msort at 0x0000000004469A58>\n",
      "multi_dot                    function                      <function multi_dot at 0x00000000044DF278>\n",
      "multinomial                  builtin_function_or_method    <built-in method multinom<...>ct at 0x00000000064E1798>\n",
      "multiply                     ufunc                         <ufunc 'multiply'>\n",
      "multivariate_normal          builtin_function_or_method    <built-in method multivar<...>ct at 0x00000000064E1798>\n",
      "mx2num                       function                      <function mx2num at 0x000000000709AAC8>\n",
      "nan                          float                         nan\n",
      "nan_to_num                   function                      <function nan_to_num at 0x0000000004452518>\n",
      "nanargmax                    function                      <function nanargmax at 0x00000000044BF748>\n",
      "nanargmin                    function                      <function nanargmin at 0x00000000044BF6D8>\n",
      "nanmax                       function                      <function nanmax at 0x00000000044BF668>\n",
      "nanmean                      function                      <function nanmean at 0x00000000044BF898>\n",
      "nanmedian                    function                      <function nanmedian at 0x00000000044BFA58>\n",
      "nanmin                       function                      <function nanmin at 0x00000000044BF5F8>\n",
      "nanpercentile                function                      <function nanpercentile at 0x00000000044BFAC8>\n",
      "nanprod                      function                      <function nanprod at 0x00000000044BF828>\n",
      "nanstd                       function                      <function nanstd at 0x00000000044BFC88>\n",
      "nansum                       function                      <function nansum at 0x00000000044BF7B8>\n",
      "nanvar                       function                      <function nanvar at 0x00000000044BFC18>\n",
      "nbytes                       _typedict                     {<type 'numpy.complex128'<...>type 'numpy.float64'>: 8}\n",
      "ndarray                      type                          <type 'numpy.ndarray'>\n",
      "ndenumerate                  type                          <class 'numpy.lib.index_tricks.ndenumerate'>\n",
      "ndfromtxt                    function                      <function ndfromtxt at 0x0000000006439C88>\n",
      "ndim                         function                      <function ndim at 0x0000000002782CF8>\n",
      "ndindex                      type                          <class 'numpy.lib.index_tricks.ndindex'>\n",
      "nditer                       type                          <type 'numpy.nditer'>\n",
      "negative                     ufunc                         <ufunc 'negative'>\n",
      "negative_binomial            builtin_function_or_method    <built-in method negative<...>ct at 0x00000000064E1798>\n",
      "nested_iters                 builtin_function_or_method    <built-in function nested_iters>\n",
      "new_figure_manager           function                      <function new_figure_mana<...>er at 0x0000000008BF4A58>\n",
      "newaxis                      NoneType                      None\n",
      "newbuffer                    builtin_function_or_method    <built-in function newbuffer>\n",
      "nextafter                    ufunc                         <ufunc 'nextafter'>\n",
      "noncentral_chisquare         builtin_function_or_method    <built-in method noncentr<...>ct at 0x00000000064E1798>\n",
      "noncentral_f                 builtin_function_or_method    <built-in method noncentr<...>ct at 0x00000000064E1798>\n",
      "nonzero                      function                      <function nonzero at 0x0000000002782518>\n",
      "norm                         function                      <function norm at 0x00000000044DF208>\n",
      "norm_flat                    function                      <function norm_flat at 0x00000000071D4518>\n",
      "normal                       builtin_function_or_method    <built-in method normal o<...>ct at 0x00000000064E1798>\n",
      "normpdf                      function                      <function normpdf at 0x00000000071DE668>\n",
      "not_equal                    ufunc                         <ufunc 'not_equal'>\n",
      "np                           module                        <module 'numpy' from 'C:\\<...>ages\\numpy\\__init__.pyc'>\n",
      "nper                         function                      <function nper at 0x000000000643E2E8>\n",
      "npv                          function                      <function npv at 0x000000000643E668>\n",
      "num2date                     function                      <function num2date at 0x0000000007091048>\n",
      "num2epoch                    function                      <function num2epoch at 0x000000000709AA58>\n",
      "number                       type                          <type 'numpy.number'>\n",
      "obj2sctype                   function                      <function obj2sctype at 0x000000000435A9E8>\n",
      "object0                      type                          <type 'numpy.object_'>\n",
      "object_                      type                          <type 'numpy.object_'>\n",
      "odeint                       function                      <function odeint at 0x00000000067D3898>\n",
      "ogrid                        nd_grid                       <numpy.lib.index_tricks.n<...>ct at 0x000000000446BC18>\n",
      "ones                         function                      <function ones at 0x000000000436E748>\n",
      "ones_like                    function                      <function ones_like at 0x000000000436E7B8>\n",
      "outer                        function                      <function outer at 0x000000000436EE48>\n",
      "over                         function                      <function over at 0x0000000008CBC128>\n",
      "packbits                     builtin_function_or_method    <built-in function packbits>\n",
      "pad                          function                      <function pad at 0x000000000644E6D8>\n",
      "pareto                       builtin_function_or_method    <built-in method pareto o<...>ct at 0x00000000064E1798>\n",
      "partition                    function                      <function partition at 0x0000000002771F98>\n",
      "path_length                  function                      <function path_length at 0x00000000071FA978>\n",
      "pause                        function                      <function pause at 0x0000000008CB9438>\n",
      "pcolor                       function                      <function pcolor at 0x0000000008CC5828>\n",
      "pcolormesh                   function                      <function pcolormesh at 0x0000000008CC5898>\n",
      "percentile                   function                      <function percentile at 0x0000000004469C18>\n",
      "permutation                  builtin_function_or_method    <built-in method permutat<...>ct at 0x00000000064E1798>\n",
      "phase_spectrum               function                      <function phase_spectrum at 0x0000000008CC5908>\n",
      "pi                           float                         3.14159265359\n",
      "pie                          function                      <function pie at 0x0000000008CC5978>\n",
      "piecewise                    function                      <function piecewise at 0x0000000004468C88>\n",
      "pink                         function                      <function pink at 0x0000000008CC7BA8>\n",
      "pinv                         function                      <function pinv at 0x00000000044DCF98>\n",
      "pkgload                      function                      <function pkgload at 0x0000000004218978>\n",
      "place                        function                      <function place at 0x0000000004469278>\n",
      "plasma                       function                      <function plasma at 0x0000000008CC7F28>\n",
      "plot                         function                      <function plot at 0x0000000008CC59E8>\n",
      "plot_date                    function                      <function plot_date at 0x0000000008CC5A58>\n",
      "plotfile                     function                      <function plotfile at 0x0000000008CBD2E8>\n",
      "plotting                     function                      <function plotting at 0x0000000008CBCD68>\n",
      "plt                          module                        <module 'matplotlib.pyplo<...>s\\matplotlib\\pyplot.pyc'>\n",
      "pmt                          function                      <function pmt at 0x000000000643E278>\n",
      "poisson                      builtin_function_or_method    <built-in method poisson <...>ct at 0x00000000064E1798>\n",
      "polar                        function                      <function polar at 0x0000000008CBD278>\n",
      "poly                         function                      <function poly at 0x00000000044DF438>\n",
      "poly1d                       type                          <class 'numpy.lib.polynomial.poly1d'>\n",
      "poly_below                   function                      <function poly_below at 0x00000000071FA5F8>\n",
      "poly_between                 function                      <function poly_between at 0x00000000071FA668>\n",
      "polyadd                      function                      <function polyadd at 0x00000000044DF6D8>\n",
      "polyder                      function                      <function polyder at 0x00000000044DF588>\n",
      "polydiv                      function                      <function polydiv at 0x00000000044DF828>\n",
      "polyfit                      function                      <function polyfit at 0x00000000044DF5F8>\n",
      "polyint                      function                      <function polyint at 0x00000000044DF518>\n",
      "polymul                      function                      <function polymul at 0x00000000044DF7B8>\n",
      "polysub                      function                      <function polysub at 0x00000000044DF748>\n",
      "polyval                      function                      <function polyval at 0x00000000044DF668>\n",
      "power                        builtin_function_or_method    <built-in method power of<...>ct at 0x00000000064E1798>\n",
      "ppmt                         function                      <function ppmt at 0x000000000643E438>\n",
      "prctile                      function                      <function prctile at 0x00000000071DE128>\n",
      "prctile_rank                 function                      <function prctile_rank at 0x00000000071D4E48>\n",
      "print_function               __future__._Feature           _Feature((2, 6, 0, 'alpha<...>0, 0, 'alpha', 0), 65536)\n",
      "prism                        function                      <function prism at 0x0000000008CC7C18>\n",
      "prod                         function                      <function prod at 0x0000000002782C18>\n",
      "product                      function                      <function product at 0x0000000002782748>\n",
      "promote_types                builtin_function_or_method    <built-in function promote_types>\n",
      "psd                          function                      <function psd at 0x0000000008CC5AC8>\n",
      "ptp                          function                      <function ptp at 0x0000000002782A58>\n",
      "put                          function                      <function put at 0x0000000002771E48>\n",
      "putmask                      builtin_function_or_method    <built-in function putmask>\n",
      "pv                           function                      <function pv at 0x000000000643E4A8>\n",
      "pylab_setup                  function                      <function pylab_setup at 0x0000000008BF44A8>\n",
      "qr                           function                      <function qr at 0x00000000044DCBA8>\n",
      "quiver                       function                      <function quiver at 0x0000000008CC5B38>\n",
      "quiverkey                    function                      <function quiverkey at 0x0000000008CC5BA8>\n",
      "r_                           RClass                        <numpy.lib.index_tricks.R<...>ct at 0x000000000446BC88>\n",
      "rad2deg                      ufunc                         <ufunc 'rad2deg'>\n",
      "radians                      ufunc                         <ufunc 'radians'>\n",
      "rand                         builtin_function_or_method    <built-in method rand of <...>ct at 0x00000000064E1798>\n",
      "randint                      builtin_function_or_method    <built-in method randint <...>ct at 0x00000000064E1798>\n",
      "randn                        builtin_function_or_method    <built-in method randn of<...>ct at 0x00000000064E1798>\n",
      "random                       builtin_function_or_method    <built-in method random_s<...>ct at 0x00000000064E1798>\n",
      "random_integers              builtin_function_or_method    <built-in method random_i<...>ct at 0x00000000064E1798>\n",
      "random_sample                builtin_function_or_method    <built-in method random_s<...>ct at 0x00000000064E1798>\n",
      "ranf                         builtin_function_or_method    <built-in method random_s<...>ct at 0x00000000064E1798>\n",
      "rank                         function                      <function rank at 0x0000000002782D68>\n",
      "rate                         function                      <function rate at 0x000000000643E588>\n",
      "ravel                        function                      <function ravel at 0x00000000027824A8>\n",
      "ravel_multi_index            builtin_function_or_method    <built-in function ravel_multi_index>\n",
      "rayleigh                     builtin_function_or_method    <built-in method rayleigh<...>ct at 0x00000000064E1798>\n",
      "rc                           function                      <function rc at 0x0000000008CB9518>\n",
      "rcParams                     RcParams                      _internal.classic_mode: F<...>: 0.6\\nytick.right: False\n",
      "rcParamsDefault              RcParams                      _internal.classic_mode: F<...>: 0.6\\nytick.right: False\n",
      "rc_context                   function                      <function rc_context at 0x0000000008CB9588>\n",
      "rcdefaults                   function                      <function rcdefaults at 0x0000000008CB95F8>\n",
      "real                         function                      <function real at 0x0000000004452208>\n",
      "real_if_close                function                      <function real_if_close at 0x0000000004452588>\n",
      "rec                          module                        <module 'numpy.core.recor<...>\\numpy\\core\\records.pyc'>\n",
      "rec2csv                      function                      <function rec2csv at 0x00000000071FA198>\n",
      "rec_append_fields            function                      <function rec_append_fiel<...>ds at 0x00000000071D4128>\n",
      "rec_drop_fields              function                      <function rec_drop_fields at 0x0000000007196F98>\n",
      "rec_join                     function                      <function rec_join at 0x0000000007196D68>\n",
      "recarray                     type                          <class 'numpy.recarray'>\n",
      "recfromcsv                   function                      <function recfromcsv at 0x0000000006439DD8>\n",
      "recfromtxt                   function                      <function recfromtxt at 0x0000000006439D68>\n",
      "reciprocal                   ufunc                         <ufunc 'reciprocal'>\n",
      "record                       type                          <class 'numpy.record'>\n",
      "register_cmap                function                      <function register_cmap at 0x00000000071304A8>\n",
      "relativedelta                type                          <class 'dateutil.relativedelta.relativedelta'>\n",
      "remainder                    ufunc                         <ufunc 'remainder'>\n",
      "repeat                       function                      <function repeat at 0x0000000002771DD8>\n",
      "require                      function                      <function require at 0x000000000436EB38>\n",
      "reshape                      function                      <function reshape at 0x0000000002771CF8>\n",
      "resize                       function                      <function resize at 0x00000000027822E8>\n",
      "restoredot                   function                      <function restoredot at 0x000000000436EF28>\n",
      "result_type                  builtin_function_or_method    <built-in function result_type>\n",
      "rfft                         function                      <function rfft at 0x000000000644EEB8>\n",
      "rfft2                        function                      <function rfft2 at 0x00000000042A33C8>\n",
      "rfftfreq                     function                      <function rfftfreq at 0x00000000042A3668>\n",
      "rfftn                        function                      <function rfftn at 0x00000000042A3358>\n",
      "rgrids                       function                      <function rgrids at 0x0000000008CBCC88>\n",
      "right_shift                  ufunc                         <ufunc 'right_shift'>\n",
      "rint                         ufunc                         <ufunc 'rint'>\n",
      "rk4                          function                      <function rk4 at 0x00000000071D4D68>\n",
      "rms_flat                     function                      <function rms_flat at 0x00000000071D4668>\n",
      "roll                         function                      <function roll at 0x0000000002771048>\n",
      "rollaxis                     function                      <function rollaxis at 0x00000000027710B8>\n",
      "roots                        function                      <function roots at 0x00000000044DF4A8>\n",
      "rot90                        function                      <function rot90 at 0x0000000004468128>\n",
      "round_                       function                      <function round_ at 0x0000000002782EB8>\n",
      "row_stack                    function                      <function vstack at 0x00000000027A72E8>\n",
      "rrule                        type                          <class 'dateutil.rrule.rrule'>\n",
      "s_                           IndexExpression               <numpy.lib.index_tricks.I<...>ct at 0x000000000446BE10>\n",
      "safe_eval                    function                      <function safe_eval at 0x0000000004450128>\n",
      "sample                       builtin_function_or_method    <built-in method random_s<...>ct at 0x00000000064E1798>\n",
      "save                         function                      <function save at 0x0000000006439828>\n",
      "savefig                      function                      <function savefig at 0x0000000008CB9D68>\n",
      "savetxt                      function                      <function savetxt at 0x0000000006439B38>\n",
      "savez                        function                      <function savez at 0x0000000006439898>\n",
      "savez_compressed             function                      <function savez_compressed at 0x0000000006439908>\n",
      "sca                          function                      <function sca at 0x0000000008CBC278>\n",
      "scatter                      function                      <function scatter at 0x0000000008CC5C18>\n",
      "sci                          function                      <function sci at 0x0000000008CB9668>\n",
      "sctype2char                  function                      <function sctype2char at 0x000000000435AC88>\n",
      "sctypeDict                   dict                          n=150\n",
      "sctypeNA                     dict                          n=82\n",
      "sctypes                      dict                          n=5\n",
      "searchsorted                 function                      <function searchsorted at 0x0000000002782278>\n",
      "seed                         builtin_function_or_method    <built-in method seed of <...>ct at 0x00000000064E1798>\n",
      "segments_intersect           function                      <function segments_inters<...>ct at 0x00000000071D4978>\n",
      "select                       function                      <function select at 0x0000000004468CF8>\n",
      "semilogx                     function                      <function semilogx at 0x0000000008CC5C88>\n",
      "semilogy                     function                      <function semilogy at 0x0000000008CC5CF8>\n",
      "set_cmap                     function                      <function set_cmap at 0x0000000008CBD0B8>\n",
      "set_numeric_ops              builtin_function_or_method    <built-in function set_numeric_ops>\n",
      "set_printoptions             function                      <function set_printoptions at 0x0000000002783128>\n",
      "set_state                    builtin_function_or_method    <built-in method set_stat<...>ct at 0x00000000064E1798>\n",
      "set_string_function          function                      <function set_string_func<...>on at 0x0000000002783DD8>\n",
      "setbufsize                   function                      <function setbufsize at 0x00000000027864A8>\n",
      "setdiff1d                    function                      <function setdiff1d at 0x00000000044E2748>\n",
      "seterr                       function                      <function seterr at 0x00000000027863C8>\n",
      "seterrcall                   function                      <function seterrcall at 0x0000000002786588>\n",
      "seterrobj                    builtin_function_or_method    <built-in function seterrobj>\n",
      "setp                         function                      <function setp at 0x0000000008CB9748>\n",
      "setxor1d                     function                      <function setxor1d at 0x00000000044E25F8>\n",
      "shape                        function                      <function shape at 0x0000000002782588>\n",
      "shares_memory                builtin_function_or_method    <built-in function shares_memory>\n",
      "short                        type                          <type 'numpy.int16'>\n",
      "show                         function                      <function show at 0x0000000008CB9278>\n",
      "show_config                  function                      <function show at 0x00000000042186D8>\n",
      "shuffle                      builtin_function_or_method    <built-in method shuffle <...>ct at 0x00000000064E1798>\n",
      "sign                         ufunc                         <ufunc 'sign'>\n",
      "signbit                      ufunc                         <ufunc 'signbit'>\n",
      "signedinteger                type                          <type 'numpy.signedinteger'>\n",
      "silent_list                  type                          <class 'matplotlib.cbook.silent_list'>\n",
      "sin                          ufunc                         <ufunc 'sin'>\n",
      "sinc                         function                      <function sinc at 0x00000000044699E8>\n",
      "single                       type                          <type 'numpy.float32'>\n",
      "singlecomplex                type                          <type 'numpy.complex64'>\n",
      "sinh                         ufunc                         <ufunc 'sinh'>\n",
      "six                          module                        <module 'six' from 'C:\\Us<...>b\\site-packages\\six.pyc'>\n",
      "size                         function                      <function size at 0x0000000002782DD8>\n",
      "slogdet                      function                      <function slogdet at 0x00000000044DF048>\n",
      "slopes                       function                      <function slopes at 0x00000000071FA2E8>\n",
      "solve                        function                      <function solve at 0x00000000044DC9E8>\n",
      "sometrue                     function                      <function sometrue at 0x00000000027827B8>\n",
      "sort                         function                      <function sort at 0x00000000027820B8>\n",
      "sort_complex                 function                      <function sort_complex at 0x0000000004469048>\n",
      "source                       function                      <function source at 0x000000000443DF28>\n",
      "spacing                      ufunc                         <ufunc 'spacing'>\n",
      "specgram                     function                      <function specgram at 0x0000000008CC5D68>\n",
      "spectral                     function                      <function spectral at 0x0000000008CC7DD8>\n",
      "split                        function                      <function split at 0x00000000044C5198>\n",
      "spring                       function                      <function spring at 0x0000000008CC7C88>\n",
      "spy                          function                      <function spy at 0x0000000008CBD438>\n",
      "sqrt                         ufunc                         <ufunc 'sqrt'>\n",
      "square                       ufunc                         <ufunc 'square'>\n",
      "squeeze                      function                      <function squeeze at 0x0000000002782358>\n",
      "stack                        function                      <function stack at 0x00000000027A73C8>\n",
      "stackplot                    function                      <function stackplot at 0x0000000008CC5DD8>\n",
      "standard_cauchy              builtin_function_or_method    <built-in method standard<...>ct at 0x00000000064E1798>\n",
      "standard_exponential         builtin_function_or_method    <built-in method standard<...>ct at 0x00000000064E1798>\n",
      "standard_gamma               builtin_function_or_method    <built-in method standard<...>ct at 0x00000000064E1798>\n",
      "standard_normal              builtin_function_or_method    <built-in method standard<...>ct at 0x00000000064E1798>\n",
      "standard_t                   builtin_function_or_method    <built-in method standard<...>ct at 0x00000000064E1798>\n",
      "std                          function                      <function std at 0x0000000002782F98>\n",
      "stem                         function                      <function stem at 0x0000000008CC5E48>\n",
      "step                         function                      <function step at 0x0000000008CC5EB8>\n",
      "stineman_interp              function                      <function stineman_interp at 0x00000000071FA358>\n",
      "str_                         type                          <type 'numpy.string_'>\n",
      "streamplot                   function                      <function streamplot at 0x0000000008CC5F28>\n",
      "string0                      type                          <type 'numpy.string_'>\n",
      "string_                      type                          <type 'numpy.string_'>\n",
      "strpdate2num                 type                          <class 'matplotlib.dates.strpdate2num'>\n",
      "style                        module                        <module 'matplotlib.style<...>tlib\\style\\__init__.pyc'>\n",
      "subplot                      function                      <function subplot at 0x0000000008CBC358>\n",
      "subplot2grid                 function                      <function subplot2grid at 0x0000000008CBC438>\n",
      "subplot_tool                 function                      <function subplot_tool at 0x0000000008CBC5F8>\n",
      "subplots                     function                      <function subplots at 0x0000000008CBC3C8>\n",
      "subplots_adjust              function                      <function subplots_adjust at 0x0000000008CBC588>\n",
      "subtract                     ufunc                         <ufunc 'subtract'>\n",
      "sum                          function                      <function sum at 0x00000000027826D8>\n",
      "summer                       function                      <function summer at 0x0000000008CC7CF8>\n",
      "suptitle                     function                      <function suptitle at 0x0000000008CB9F28>\n",
      "svd                          function                      <function svd at 0x00000000044DCE48>\n",
      "swapaxes                     function                      <function swapaxes at 0x0000000002771EB8>\n",
      "switch_backend               function                      <function switch_backend at 0x0000000008CB9198>\n",
      "sys                          module                        <module 'sys' (built-in)>\n",
      "t                            ndarray                       50L: 50 elems, type `float64`, 400 bytes\n",
      "table                        function                      <function table at 0x0000000008CC74A8>\n",
      "take                         function                      <function take at 0x0000000002771C88>\n",
      "tan                          ufunc                         <ufunc 'tan'>\n",
      "tanh                         ufunc                         <ufunc 'tanh'>\n",
      "tensordot                    function                      <function tensordot at 0x000000000436EF98>\n",
      "tensorinv                    function                      <function tensorinv at 0x00000000044DCA58>\n",
      "tensorsolve                  function                      <function tensorsolve at 0x00000000044DC978>\n",
      "test                         instancemethod                <bound method NoseTester.<...>t at 0x00000000044E00B8>>\n",
      "text                         function                      <function text at 0x0000000008CC7518>\n",
      "thetagrids                   function                      <function thetagrids at 0x0000000008CBCCF8>\n",
      "tick_params                  function                      <function tick_params at 0x0000000008CC76D8>\n",
      "ticklabel_format             function                      <function ticklabel_format at 0x0000000008CC75F8>\n",
      "tight_layout                 function                      <function tight_layout at 0x0000000008CBC668>\n",
      "tile                         function                      <function tile at 0x00000000044C54A8>\n",
      "timedelta64                  type                          <type 'numpy.timedelta64'>\n",
      "title                        function                      <function title at 0x0000000008CBC748>\n",
      "trace                        function                      <function trace at 0x0000000002782438>\n",
      "transpose                    function                      <function transpose at 0x0000000002771F28>\n",
      "trapz                        function                      <function trapz at 0x0000000004469CF8>\n",
      "tri                          function                      <function tri at 0x00000000044682E8>\n",
      "triangular                   builtin_function_or_method    <built-in method triangul<...>ct at 0x00000000064E1798>\n",
      "tricontour                   function                      <function tricontour at 0x0000000008CC5F98>\n",
      "tricontourf                  function                      <function tricontourf at 0x0000000008CC7048>\n",
      "tril                         function                      <function tril at 0x0000000004468358>\n",
      "tril_indices                 function                      <function tril_indices at 0x0000000004468588>\n",
      "tril_indices_from            function                      <function tril_indices_fr<...>om at 0x00000000044685F8>\n",
      "trim_zeros                   function                      <function trim_zeros at 0x00000000044690B8>\n",
      "tripcolor                    function                      <function tripcolor at 0x0000000008CC70B8>\n",
      "triplot                      function                      <function triplot at 0x0000000008CC7128>\n",
      "triu                         function                      <function triu at 0x00000000044683C8>\n",
      "triu_indices                 function                      <function triu_indices at 0x0000000004468668>\n",
      "triu_indices_from            function                      <function triu_indices_fr<...>om at 0x00000000044686D8>\n",
      "true_divide                  ufunc                         <ufunc 'true_divide'>\n",
      "trunc                        ufunc                         <ufunc 'trunc'>\n",
      "twinx                        function                      <function twinx at 0x0000000008CBC4A8>\n",
      "twiny                        function                      <function twiny at 0x0000000008CBC518>\n",
      "typeDict                     dict                          n=150\n",
      "typeNA                       dict                          n=82\n",
      "typecodes                    dict                          n=9\n",
      "typename                     function                      <function typename at 0x0000000004452668>\n",
      "types                        module                        <module 'types' from 'C:\\<...>vs\\IOOS27\\lib\\types.pyc'>\n",
      "ubyte                        type                          <type 'numpy.uint8'>\n",
      "ufunc                        type                          <type 'numpy.ufunc'>\n",
      "uint                         type                          <type 'numpy.uint32'>\n",
      "uint0                        type                          <type 'numpy.uint64'>\n",
      "uint16                       type                          <type 'numpy.uint16'>\n",
      "uint32                       type                          <type 'numpy.uint32'>\n",
      "uint64                       type                          <type 'numpy.uint64'>\n",
      "uint8                        type                          <type 'numpy.uint8'>\n",
      "uintc                        type                          <type 'numpy.uint32'>\n",
      "uintp                        type                          <type 'numpy.uint64'>\n",
      "ulonglong                    type                          <type 'numpy.uint64'>\n",
      "unicode0                     type                          <type 'numpy.unicode_'>\n",
      "unicode_                     type                          <type 'numpy.unicode_'>\n",
      "unicode_literals             __future__._Feature           _Feature((2, 6, 0, 'alpha<...>, 0, 'alpha', 0), 131072)\n",
      "uniform                      builtin_function_or_method    <built-in method uniform <...>ct at 0x00000000064E1798>\n",
      "uninstall_repl_displayhook   function                      <function uninstall_repl_<...>ok at 0x0000000008CB90B8>\n",
      "union1d                      function                      <function union1d at 0x00000000044E26D8>\n",
      "unique                       function                      <function unique at 0x00000000044E2518>\n",
      "unpackbits                   builtin_function_or_method    <built-in function unpackbits>\n",
      "unravel_index                builtin_function_or_method    <built-in function unravel_index>\n",
      "unsignedinteger              type                          <type 'numpy.unsignedinteger'>\n",
      "unwrap                       function                      <function unwrap at 0x0000000004468F98>\n",
      "ushort                       type                          <type 'numpy.uint16'>\n",
      "using_mklfft                 bool                          False\n",
      "vander                       function                      <function vander at 0x0000000004468438>\n",
      "var                          function                      <function var at 0x0000000002783048>\n",
      "vdot                         builtin_function_or_method    <built-in function vdot>\n",
      "vector_lengths               function                      <function vector_lengths at 0x00000000071FA898>\n",
      "vectorize                    type                          <class 'numpy.lib.function_base.vectorize'>\n",
      "violinplot                   function                      <function violinplot at 0x0000000008CC7198>\n",
      "viridis                      function                      <function viridis at 0x0000000008CC7F98>\n",
      "vlines                       function                      <function vlines at 0x0000000008CC7208>\n",
      "void                         type                          <type 'numpy.void'>\n",
      "void0                        type                          <type 'numpy.void'>\n",
      "vonmises                     builtin_function_or_method    <built-in method vonmises<...>ct at 0x00000000064E1798>\n",
      "vsplit                       function                      <function vsplit at 0x00000000044C5278>\n",
      "vstack                       function                      <function vstack at 0x00000000027A72E8>\n",
      "waitforbuttonpress           function                      <function waitforbuttonpr<...>ss at 0x0000000008CB9E48>\n",
      "wald                         builtin_function_or_method    <built-in method wald of <...>ct at 0x00000000064E1798>\n",
      "warnings                     module                        <module 'warnings' from '<...>IOOS27\\lib\\warnings.pyc'>\n",
      "weibull                      builtin_function_or_method    <built-in method weibull <...>ct at 0x00000000064E1798>\n",
      "where                        builtin_function_or_method    <built-in function where>\n",
      "who                          function                      <function who at 0x000000000443DCF8>\n",
      "window_hanning               function                      <function window_hanning at 0x00000000071EA2E8>\n",
      "window_none                  function                      <function window_none at 0x00000000071DEF98>\n",
      "winter                       function                      <function winter at 0x0000000008CC7D68>\n",
      "xcorr                        function                      <function xcorr at 0x0000000008CC7278>\n",
      "xkcd                         function                      <function xkcd at 0x0000000008CB96D8>\n",
      "xlabel                       function                      <function xlabel at 0x0000000008CBC828>\n",
      "xlim                         function                      <function xlim at 0x0000000008CBC908>\n",
      "xscale                       function                      <function xscale at 0x0000000008CBC9E8>\n",
      "xticks                       function                      <function xticks at 0x0000000008CBCAC8>\n",
      "ylabel                       function                      <function ylabel at 0x0000000008CBC898>\n",
      "ylim                         function                      <function ylim at 0x0000000008CBC978>\n",
      "yscale                       function                      <function yscale at 0x0000000008CBCA58>\n",
      "yticks                       function                      <function yticks at 0x0000000008CBCB38>\n",
      "zeros                        builtin_function_or_method    <built-in function zeros>\n",
      "zeros_like                   function                      <function zeros_like at 0x000000000436E6D8>\n",
      "zipf                         builtin_function_or_method    <built-in method zipf of <...>ct at 0x00000000064E1798>\n"
     ]
    }
   ],
   "source": [
    "whos"
   ]
  }
 ],
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