MatrixExamples.ipynb

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   "source": [
    "# This Notebook demonstrates what can be done with Matrix module\n",
    "# also used for development playground..."
   ]
  },
  {
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   "execution_count": 2,
   "metadata": {
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   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import scipy.stats as stats\n",
    "import pylab\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os"
   ]
  },
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   "execution_count": 4,
   "metadata": {
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    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from AuxFunctions import *\n",
    "from Matrix import *\n",
    "from TLD import *\n",
    "from Gravity import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matrix Examples"
   ]
  },
  {
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   "execution_count": 5,
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       "      <th></th>\n",
       "      <th>A1</th>\n",
       "      <th>A2</th>\n",
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       "   A1  A2  A3  B1  B2  B3\n",
       "0   0   1   2   3   4   5\n",
       "1   0   1   2   3   4   5\n",
       "2   0   1   2   3   4   5"
      ]
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     "execution_count": 5,
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   "source": [
    "df = pd.DataFrame(data=[range(6) for row in range(3)], columns=['A1', 'A2', 'A3', 'B1', 'B2', 'B3'])\n",
    "df"
   ]
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       "     T1  T2  T3\n",
       "O D            \n",
       "1 1   0   1   0\n",
       "  2   1   2   6\n",
       "  3   1   3  10\n",
       "  4   0   4  12\n",
       "  5   1   5  12\n",
       "  6   1   6  10\n",
       "  7   0   7   6\n",
       "2 1   1   8   0\n",
       "  2   1   9   0\n",
       "  3   0  10  10\n",
       "  4   1  11  12\n",
       "  5   1  12  12\n",
       "  6   0  13  10\n",
       "  7   1  14   6\n",
       "3 1   1  15   0\n",
       "  2   0  16   6\n",
       "  3   1  17   0\n",
       "  4   1  18  12\n",
       "  5   0  19  12\n",
       "  6   1  20  10\n",
       "  7   1  21   6\n",
       "4 1   0  22   0\n",
       "  2   1  23   6\n",
       "  3   1  24  10\n",
       "  4   0  25   0\n",
       "  5   1  26  12\n",
       "  6   1  27  10\n",
       "  7   0  28   6\n",
       "5 1   1  29   0\n",
       "  2   1  30   6\n",
       "  3   0  31  10\n",
       "  4   1  32  12\n",
       "  5   1  33   0\n",
       "  6   0  34  10\n",
       "  7   1  35   6\n",
       "6 1   1  36   0\n",
       "  2   0  37   6\n",
       "  3   1  38  10\n",
       "  4   1  39  12\n",
       "  5   0  40  12\n",
       "  6   1  41   0\n",
       "  7   1  42   6\n",
       "7 1   0  43   0\n",
       "  2   1  44   6\n",
       "  3   1  45  10\n",
       "  4   0  46  12\n",
       "  5   1  47  12\n",
       "  6   1  48  10\n",
       "  7   0  49   0"
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     },
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   ],
   "source": [
    "m = mat(7)\n",
    "m"
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       "     T1  T2  T3\n",
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       "  6   1  48  10\n",
       "  7   0  49   0"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat7 = Matrix(m)\n",
    "mat7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "       T\n",
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     "execution_count": 8,
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   "source": [
    "exmat = pd.DataFrame({'O': [10,10,20,20],\n",
    "                      'D': [10,20,10,20],\n",
    "                      'T':[3,2,4,1]}).set_index(['O','D'])\n",
    "exmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
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       "     T\n",
       "O D   \n",
       "1 1  1\n",
       "  2  0\n",
       "  3  0\n",
       "2 1  0\n",
       "  2  1\n",
       "  3  0\n",
       "3 1  0\n",
       "  2  0\n",
       "  3  1"
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     "execution_count": 9,
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   ],
   "source": [
    "I3 = I(3)\n",
    "I3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "ex_matrixp = os.path.join('example_data', 'ex_matrix_1.csv')\n",
    "ex_matrix = pd.read_csv(ex_matrixp, index_col=[0,1])\n",
    "ex_skimdistp = os.path.join('example_data', 'ex_skimdist_1.csv')\n",
    "ex_skimdist = pd.read_csv(ex_skimdistp, index_col=[0,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "zoning1 = Zoning(list(range(3)))\n",
    "zoning2 = Zoning(list(range(10)))\n",
    "zoning3 = Zoning([5+i for i in range(5)])\n",
    "zoning4 = Zoning('A B C'.split())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
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       "      <th>9</th>\n",
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       "      <td>36</td>\n",
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       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>6</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>38</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>39</td>\n",
       "      <td>12</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
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       "      <td>10</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>47</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>48</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">8</th>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">9</th>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <th>8</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>9</th>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "  </tbody>\n",
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       "<p>65 rows × 3 columns</p>\n",
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       "     T1  T2  T3\n",
       "O D            \n",
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       "  7   1  21   6\n",
       "4 1   0  22   0\n",
       "  2   1  23   6\n",
       "  3   1  24  10\n",
       "  4   0  25   0\n",
       "  5   1  26  12\n",
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       "  7   0  28   6\n",
       "5 1   1  29   0\n",
       "  2   1  30   6\n",
       "..   ..  ..  ..\n",
       "  8   0   0   0\n",
       "  9   0   0   0\n",
       "6 1   1  36   0\n",
       "  2   0  37   6\n",
       "  3   1  38  10\n",
       "  4   1  39  12\n",
       "  5   0  40  12\n",
       "  6   1  41   0\n",
       "  7   1  42   6\n",
       "  8   0   0   0\n",
       "  9   0   0   0\n",
       "7 1   0  43   0\n",
       "  2   1  44   6\n",
       "  3   1  45  10\n",
       "  4   0  46  12\n",
       "  5   1  47  12\n",
       "  6   1  48  10\n",
       "  7   0  49   0\n",
       "  8   0   0   0\n",
       "  9   0   0   0\n",
       "8 5   0   0   0\n",
       "  6   0   0   0\n",
       "  7   0   0   0\n",
       "  8   0   0   0\n",
       "  9   0   0   0\n",
       "9 5   0   0   0\n",
       "  6   0   0   0\n",
       "  7   0   0   0\n",
       "  8   0   0   0\n",
       "  9   0   0   0\n",
       "\n",
       "[65 rows x 3 columns]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat7.complete(zoning3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
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   "source": [
    "mat7.matrix.T3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
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     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat7.TDp.matrix.T3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "from imp import reload\n",
    "import Matrix\n",
    "\n",
    "reload(Matrix)\n",
    "from Matrix import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "basicmapping = pd.DataFrame({\n",
    "        'sectors': 'A A B B B C C'.split(),\n",
    "        'zones':   [1,2,3,4,5,6,7],\n",
    "        'Val1':    [1,4,4,2,1,3,1],\n",
    "        'Val2':    [3,0,1,2,1,3,0]\n",
    "    })\n",
    "\n",
    "mapping = pd.DataFrame({\n",
    "        'sectors': 'A B A B B B C C C'.split(),\n",
    "        'zones':   [1,2,2,3,4,5,6,7,5],\n",
    "        'Val1':    [1,4,4,2,1,3,1,4,2],\n",
    "        'Val2':    [3,0.01,1,2,1,3,3,1,0.01]\n",
    "    })"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>10</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>12</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>14</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">2</th>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>18</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>11</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>22</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>12</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>24</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>26</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>14</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>28</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">3</th>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>15</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>30</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>17</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>34</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>18</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>36</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>19</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>20</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>40</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>21</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>42</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">4</th>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>22</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>23</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>46</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>24</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>48</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>26</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>52</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>27</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>54</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>28</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>56</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">5</th>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>29</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>58</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>30</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>60</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>31</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>62</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>32</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>64</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>33</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>66</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "      <td>68</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>35</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>70</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">6</th>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>36</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>72</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>37</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>74</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>38</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>76</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>39</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>78</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>80</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>41</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>82</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1</td>\n",
       "      <td>42</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>84</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">7</th>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>86</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>44</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "      <td>88</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>45</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>90</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>12</td>\n",
       "      <td>0</td>\n",
       "      <td>92</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>47</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "      <td>94</td>\n",
       "      <td>24</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>48</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "      <td>96</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>49</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>98</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     A          B        \n",
       "    T1  T2  T3 T1  T2  T3\n",
       "O D                      \n",
       "1 1  0   1   0  0   2   0\n",
       "  2  1   2   6  2   4  12\n",
       "  3  1   3  10  2   6  20\n",
       "  4  0   4  12  0   8  24\n",
       "  5  1   5  12  2  10  24\n",
       "  6  1   6  10  2  12  20\n",
       "  7  0   7   6  0  14  12\n",
       "2 1  1   8   0  2  16   0\n",
       "  2  1   9   0  2  18   0\n",
       "  3  0  10  10  0  20  20\n",
       "  4  1  11  12  2  22  24\n",
       "  5  1  12  12  2  24  24\n",
       "  6  0  13  10  0  26  20\n",
       "  7  1  14   6  2  28  12\n",
       "3 1  1  15   0  2  30   0\n",
       "  2  0  16   6  0  32  12\n",
       "  3  1  17   0  2  34   0\n",
       "  4  1  18  12  2  36  24\n",
       "  5  0  19  12  0  38  24\n",
       "  6  1  20  10  2  40  20\n",
       "  7  1  21   6  2  42  12\n",
       "4 1  0  22   0  0  44   0\n",
       "  2  1  23   6  2  46  12\n",
       "  3  1  24  10  2  48  20\n",
       "  4  0  25   0  0  50   0\n",
       "  5  1  26  12  2  52  24\n",
       "  6  1  27  10  2  54  20\n",
       "  7  0  28   6  0  56  12\n",
       "5 1  1  29   0  2  58   0\n",
       "  2  1  30   6  2  60  12\n",
       "  3  0  31  10  0  62  20\n",
       "  4  1  32  12  2  64  24\n",
       "  5  1  33   0  2  66   0\n",
       "  6  0  34  10  0  68  20\n",
       "  7  1  35   6  2  70  12\n",
       "6 1  1  36   0  2  72   0\n",
       "  2  0  37   6  0  74  12\n",
       "  3  1  38  10  2  76  20\n",
       "  4  1  39  12  2  78  24\n",
       "  5  0  40  12  0  80  24\n",
       "  6  1  41   0  2  82   0\n",
       "  7  1  42   6  2  84  12\n",
       "7 1  0  43   0  0  86   0\n",
       "  2  1  44   6  2  88  12\n",
       "  3  1  45  10  2  90  20\n",
       "  4  0  46  12  0  92  24\n",
       "  5  1  47  12  2  94  24\n",
       "  6  1  48  10  2  96  20\n",
       "  7  0  49   0  0  98   0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat77 = pd.concat([mat7, mat7*2], axis=1)\n",
    "mat77.columns = pd.MultiIndex.from_product(['A B'.split(), mat7.columns])\n",
    "mat77"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sectors_O</th>\n",
       "      <th>sectors_D</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">A</th>\n",
       "      <th>A</th>\n",
       "      <td>3</td>\n",
       "      <td>20</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>4</td>\n",
       "      <td>45</td>\n",
       "      <td>68</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>C</th>\n",
       "      <td>2</td>\n",
       "      <td>40</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">B</th>\n",
       "      <th>A</th>\n",
       "      <td>4</td>\n",
       "      <td>135</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>6</td>\n",
       "      <td>225</td>\n",
       "      <td>68</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>C</th>\n",
       "      <td>4</td>\n",
       "      <td>165</td>\n",
       "      <td>48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">C</th>\n",
       "      <th>A</th>\n",
       "      <td>2</td>\n",
       "      <td>160</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>4</td>\n",
       "      <td>255</td>\n",
       "      <td>68</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>C</th>\n",
       "      <td>3</td>\n",
       "      <td>180</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     T1   T2  T3\n",
       "sectors_O sectors_D             \n",
       "A         A           3   20   6\n",
       "          B           4   45  68\n",
       "          C           2   40  32\n",
       "B         A           4  135  18\n",
       "          B           6  225  68\n",
       "          C           4  165  48\n",
       "C         A           2  160  12\n",
       "          B           4  255  68\n",
       "          C           3  180  16"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat7.rezone(basicmapping, ['zones', 'sectors'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
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   "outputs": [
    {
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      "text/plain": [
       "                       A                  B              \n",
       "                      T1     T2    T3    T1     T2     T3\n",
       "sectors_O sectors_D                                      \n",
       "A         A          3.0   20.0   6.0   6.0   40.0   12.0\n",
       "          B          4.0   45.0  68.0   8.0   90.0  136.0\n",
       "          C          2.0   40.0  32.0   4.0   80.0   64.0\n",
       "B         A          4.0  135.0  18.0   8.0  270.0   36.0\n",
       "          B          6.0  225.0  68.0  12.0  450.0  136.0\n",
       "          C          4.0  165.0  48.0   8.0  330.0   96.0\n",
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       "          B          4.0  255.0  68.0   8.0  510.0  136.0\n",
       "          C          3.0  180.0  16.0   6.0  360.0   32.0"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat77.rezone(basicmapping, ['zones', 'sectors'], mapping_split_cols=['Val1', 'Val2'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
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       "      <th colspan=\"3\" halign=\"left\">A</th>\n",
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       "      <td>406.947390</td>\n",
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       "      <th>B</th>\n",
       "      <td>4.809210</td>\n",
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       "      <td>76.862840</td>\n",
       "      <td>9.618420</td>\n",
       "      <td>587.975803</td>\n",
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       "      <td>22.479734</td>\n",
       "      <td>6.809302</td>\n",
       "      <td>415.865781</td>\n",
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      "text/plain": [
       "                            A                                 B              \\\n",
       "                           T1          T2         T3         T1          T2   \n",
       "sectors_O sectors_D                                                           \n",
       "A         A          1.985149   11.435644   5.940594   3.970297   22.871287   \n",
       "          B          3.009868   28.527812  50.999605   6.019736   57.055623   \n",
       "          C          1.504983   26.536545  24.059801   3.009967   53.073090   \n",
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       "          C          4.106977  151.135216  49.699668   8.213953  302.270432   \n",
       "C         A          2.786139  182.679208  14.257426   5.572277  365.358416   \n",
       "          B          4.809210  293.987902  76.862840   9.618420  587.975803   \n",
       "          C          3.404651  207.932890  22.479734   6.809302  415.865781   \n",
       "\n",
       "                                 \n",
       "                             T3  \n",
       "sectors_O sectors_D              \n",
       "A         A           11.881188  \n",
       "          B          101.999211  \n",
       "          C           48.119601  \n",
       "B         A           30.891089  \n",
       "          B          152.509575  \n",
       "          C           99.399336  \n",
       "C         A           28.514851  \n",
       "          B          153.725680  \n",
       "          C           44.959468  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rezoned = mat77.rezone(mapping, ['zones', 'sectors'], mapping_split_cols=['Val1', 'Val2'])\n",
    "rezoned"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "A  T1      32.0\n",
       "   T2    1225.0\n",
       "   T3     336.0\n",
       "B  T1      64.0\n",
       "   T2    2450.0\n",
       "   T3     672.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rezoned.TOTALS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T1      32\n",
       "T2    1225\n",
       "T3     336\n",
       "dtype: int64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat7.TOTALS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
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       "      <td>23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>174</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2</td>\n",
       "      <td>136</td>\n",
       "      <td>41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>4</td>\n",
       "      <td>80</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>160</td>\n",
       "      <td>19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>6</td>\n",
       "      <td>58</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">6</th>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>24</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>74</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>74</td>\n",
       "      <td>35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>208</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>218</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>5</td>\n",
       "      <td>228</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">7</th>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>50</td>\n",
       "      <td>22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>141</td>\n",
       "      <td>21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>155</td>\n",
       "      <td>43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>66</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>188</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     T1   T2  T3\n",
       "O D             \n",
       "1 1   0    2   0\n",
       "  2   3    7  34\n",
       "  3   1   17  28\n",
       "  4   0   20  11\n",
       "  5   6   16  16\n",
       "  6   3   14  12\n",
       "  7   0    1  15\n",
       "2 1   1   24   0\n",
       "  2   6   24   0\n",
       "  3   0   17  37\n",
       "  4   1   64   4\n",
       "  5   2   50  15\n",
       "  6   0   24  52\n",
       "  7   4    4   2\n",
       "3 1   2   48   0\n",
       "  2   0   32   4\n",
       "  3   2   29   0\n",
       "  4   1    8  35\n",
       "  5   0   84  23\n",
       "  6   3    9  22\n",
       "  7   2   25  16\n",
       "4 1   0    5   0\n",
       "  2   0   62   2\n",
       "  3   2   37  43\n",
       "  4   0  148   0\n",
       "  5   0   82  45\n",
       "  6   2  153  10\n",
       "  7   0   62  11\n",
       "5 1   5   94   0\n",
       "  2   3   84  23\n",
       "  3   0  174   5\n",
       "  4   2  136  41\n",
       "  5   4   80   0\n",
       "  6   0  160  19\n",
       "  7   6   58  15\n",
       "6 1   3   24   0\n",
       "  2   0   74  21\n",
       "  3   2   74  35\n",
       "  4   1  208   4\n",
       "  5   0   32  51\n",
       "  6   3  218   0\n",
       "  7   5  228   0\n",
       "7 1   0   45   0\n",
       "  2   2   50  22\n",
       "  3   2  141  21\n",
       "  4   0  155  43\n",
       "  5   3    0  20\n",
       "  6   1   66  40\n",
       "  7   0  188   0"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cost7 = mat7.apply(lambda x: abs(randomizeSeries(x, 0.2)))\n",
    "cost7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th colspan=\"3\" halign=\"left\">A</th>\n",
       "      <th colspan=\"3\" halign=\"left\">B</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
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       "    <tr>\n",
       "      <th>O</th>\n",
       "      <th>D</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  </thead>\n",
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       "      <td>32</td>\n",
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       "      <td>24</td>\n",
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       "      <td>30</td>\n",
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       "      <th rowspan=\"7\" valign=\"top\">2</th>\n",
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       "      <td>48</td>\n",
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       "      <th>2</th>\n",
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       "      <td>48</td>\n",
       "      <td>0</td>\n",
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       "      <th>3</th>\n",
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       "      <td>17</td>\n",
       "      <td>37</td>\n",
       "      <td>0</td>\n",
       "      <td>34</td>\n",
       "      <td>74</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>64</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>128</td>\n",
       "      <td>8</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2</td>\n",
       "      <td>50</td>\n",
       "      <td>15</td>\n",
       "      <td>4</td>\n",
       "      <td>100</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>24</td>\n",
       "      <td>52</td>\n",
       "      <td>0</td>\n",
       "      <td>48</td>\n",
       "      <td>104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>8</td>\n",
       "      <td>8</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">3</th>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>48</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>96</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>64</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>29</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>58</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>35</td>\n",
       "      <td>2</td>\n",
       "      <td>16</td>\n",
       "      <td>70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>84</td>\n",
       "      <td>23</td>\n",
       "      <td>0</td>\n",
       "      <td>168</td>\n",
       "      <td>46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>9</td>\n",
       "      <td>22</td>\n",
       "      <td>6</td>\n",
       "      <td>18</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2</td>\n",
       "      <td>25</td>\n",
       "      <td>16</td>\n",
       "      <td>4</td>\n",
       "      <td>50</td>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">4</th>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
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       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>62</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>124</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>37</td>\n",
       "      <td>43</td>\n",
       "      <td>4</td>\n",
       "      <td>74</td>\n",
       "      <td>86</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>148</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>296</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>82</td>\n",
       "      <td>45</td>\n",
       "      <td>0</td>\n",
       "      <td>164</td>\n",
       "      <td>90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2</td>\n",
       "      <td>153</td>\n",
       "      <td>10</td>\n",
       "      <td>4</td>\n",
       "      <td>306</td>\n",
       "      <td>20</td>\n",
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       "    <tr>\n",
       "      <th>7</th>\n",
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       "      <td>62</td>\n",
       "      <td>11</td>\n",
       "      <td>0</td>\n",
       "      <td>124</td>\n",
       "      <td>22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">5</th>\n",
       "      <th>1</th>\n",
       "      <td>5</td>\n",
       "      <td>94</td>\n",
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       "      <td>10</td>\n",
       "      <td>188</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>84</td>\n",
       "      <td>23</td>\n",
       "      <td>6</td>\n",
       "      <td>168</td>\n",
       "      <td>46</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>174</td>\n",
       "      <td>5</td>\n",
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       "      <td>348</td>\n",
       "      <td>10</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2</td>\n",
       "      <td>136</td>\n",
       "      <td>41</td>\n",
       "      <td>4</td>\n",
       "      <td>272</td>\n",
       "      <td>82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>4</td>\n",
       "      <td>80</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>160</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>160</td>\n",
       "      <td>19</td>\n",
       "      <td>0</td>\n",
       "      <td>320</td>\n",
       "      <td>38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>6</td>\n",
       "      <td>58</td>\n",
       "      <td>15</td>\n",
       "      <td>12</td>\n",
       "      <td>116</td>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">6</th>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>24</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>48</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>74</td>\n",
       "      <td>21</td>\n",
       "      <td>0</td>\n",
       "      <td>148</td>\n",
       "      <td>42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>74</td>\n",
       "      <td>35</td>\n",
       "      <td>4</td>\n",
       "      <td>148</td>\n",
       "      <td>70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>208</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>416</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>51</td>\n",
       "      <td>0</td>\n",
       "      <td>64</td>\n",
       "      <td>102</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>218</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>436</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>5</td>\n",
       "      <td>228</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>456</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">7</th>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>90</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>50</td>\n",
       "      <td>22</td>\n",
       "      <td>4</td>\n",
       "      <td>100</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>141</td>\n",
       "      <td>21</td>\n",
       "      <td>4</td>\n",
       "      <td>282</td>\n",
       "      <td>42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>155</td>\n",
       "      <td>43</td>\n",
       "      <td>0</td>\n",
       "      <td>310</td>\n",
       "      <td>86</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>66</td>\n",
       "      <td>40</td>\n",
       "      <td>2</td>\n",
       "      <td>132</td>\n",
       "      <td>80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>188</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>376</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     A            B          \n",
       "    T1   T2  T3  T1   T2   T3\n",
       "O D                          \n",
       "1 1  0    2   0   0    4    0\n",
       "  2  3    7  34   6   14   68\n",
       "  3  1   17  28   2   34   56\n",
       "  4  0   20  11   0   40   22\n",
       "  5  6   16  16  12   32   32\n",
       "  6  3   14  12   6   28   24\n",
       "  7  0    1  15   0    2   30\n",
       "2 1  1   24   0   2   48    0\n",
       "  2  6   24   0  12   48    0\n",
       "  3  0   17  37   0   34   74\n",
       "  4  1   64   4   2  128    8\n",
       "  5  2   50  15   4  100   30\n",
       "  6  0   24  52   0   48  104\n",
       "  7  4    4   2   8    8    4\n",
       "3 1  2   48   0   4   96    0\n",
       "  2  0   32   4   0   64    8\n",
       "  3  2   29   0   4   58    0\n",
       "  4  1    8  35   2   16   70\n",
       "  5  0   84  23   0  168   46\n",
       "  6  3    9  22   6   18   44\n",
       "  7  2   25  16   4   50   32\n",
       "4 1  0    5   0   0   10    0\n",
       "  2  0   62   2   0  124    4\n",
       "  3  2   37  43   4   74   86\n",
       "  4  0  148   0   0  296    0\n",
       "  5  0   82  45   0  164   90\n",
       "  6  2  153  10   4  306   20\n",
       "  7  0   62  11   0  124   22\n",
       "5 1  5   94   0  10  188    0\n",
       "  2  3   84  23   6  168   46\n",
       "  3  0  174   5   0  348   10\n",
       "  4  2  136  41   4  272   82\n",
       "  5  4   80   0   8  160    0\n",
       "  6  0  160  19   0  320   38\n",
       "  7  6   58  15  12  116   30\n",
       "6 1  3   24   0   6   48    0\n",
       "  2  0   74  21   0  148   42\n",
       "  3  2   74  35   4  148   70\n",
       "  4  1  208   4   2  416    8\n",
       "  5  0   32  51   0   64  102\n",
       "  6  3  218   0   6  436    0\n",
       "  7  5  228   0  10  456    0\n",
       "7 1  0   45   0   0   90    0\n",
       "  2  2   50  22   4  100   44\n",
       "  3  2  141  21   4  282   42\n",
       "  4  0  155  43   0  310   86\n",
       "  5  3    0  20   6    0   40\n",
       "  6  1   66  40   2  132   80\n",
       "  7  0  188   0   0  376    0"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cost77 = pd.concat([cost7, cost7*2], axis=1)\n",
    "cost77.columns = pd.MultiIndex.from_product(['A B'.split(), cost7.columns])\n",
    "cost77"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th colspan=\"3\" halign=\"left\">A</th>\n",
       "      <th colspan=\"3\" halign=\"left\">B</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sectors_O</th>\n",
       "      <th>sectors_D</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">A</th>\n",
       "      <th>A</th>\n",
       "      <td>1.0</td>\n",
       "      <td>6.668075</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>2.0</td>\n",
       "      <td>13.336150</td>\n",
       "      <td>12.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>1.0</td>\n",
       "      <td>7.996037</td>\n",
       "      <td>10.858738</td>\n",
       "      <td>2.0</td>\n",
       "      <td>15.992075</td>\n",
       "      <td>21.717477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>C</th>\n",
       "      <td>1.0</td>\n",
       "      <td>9.481756</td>\n",
       "      <td>8.819413</td>\n",
       "      <td>2.0</td>\n",
       "      <td>18.963512</td>\n",
       "      <td>17.638827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">B</th>\n",
       "      <th>A</th>\n",
       "      <td>1.0</td>\n",
       "      <td>22.024759</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>2.0</td>\n",
       "      <td>44.049517</td>\n",
       "      <td>12.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>1.0</td>\n",
       "      <td>24.900939</td>\n",
       "      <td>11.354109</td>\n",
       "      <td>2.0</td>\n",
       "      <td>49.801878</td>\n",
       "      <td>22.708218</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>C</th>\n",
       "      <td>1.0</td>\n",
       "      <td>28.527154</td>\n",
       "      <td>8.616998</td>\n",
       "      <td>2.0</td>\n",
       "      <td>57.054309</td>\n",
       "      <td>17.233995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">C</th>\n",
       "      <th>A</th>\n",
       "      <td>1.0</td>\n",
       "      <td>37.224122</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>2.0</td>\n",
       "      <td>74.448244</td>\n",
       "      <td>12.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>B</th>\n",
       "      <td>1.0</td>\n",
       "      <td>39.987750</td>\n",
       "      <td>11.381875</td>\n",
       "      <td>2.0</td>\n",
       "      <td>79.975499</td>\n",
       "      <td>22.763749</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>C</th>\n",
       "      <td>1.0</td>\n",
       "      <td>43.039392</td>\n",
       "      <td>9.562964</td>\n",
       "      <td>2.0</td>\n",
       "      <td>86.078784</td>\n",
       "      <td>19.125927</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       A                          B                      \n",
       "                      T1         T2         T3   T1         T2         T3\n",
       "sectors_O sectors_D                                                      \n",
       "A         A          1.0   6.668075   6.000000  2.0  13.336150  12.000000\n",
       "          B          1.0   7.996037  10.858738  2.0  15.992075  21.717477\n",
       "          C          1.0   9.481756   8.819413  2.0  18.963512  17.638827\n",
       "B         A          1.0  22.024759   6.000000  2.0  44.049517  12.000000\n",
       "          B          1.0  24.900939  11.354109  2.0  49.801878  22.708218\n",
       "          C          1.0  28.527154   8.616998  2.0  57.054309  17.233995\n",
       "C         A          1.0  37.224122   6.000000  2.0  74.448244  12.000000\n",
       "          B          1.0  39.987750  11.381875  2.0  79.975499  22.763749\n",
       "          C          1.0  43.039392   9.562964  2.0  86.078784  19.125927"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat77_rezoned_weighted = mat77.rezone(mapping, ['zones', 'sectors'], ['Val1', 'Val2'], True, cost77)\n",
    "mat77_rezoned_weighted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>temp10</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>O</th>\n",
       "      <th>D</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"30\" valign=\"top\">101</th>\n",
       "      <th>101</th>\n",
       "      <td>1.5615</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102</th>\n",
       "      <td>0.0338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103</th>\n",
       "      <td>4.1628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104</th>\n",
       "      <td>2.0070</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>105</th>\n",
       "      <td>1.5930</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>106</th>\n",
       "      <td>0.1395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>0.8108</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>108</th>\n",
       "      <td>0.7475</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>109</th>\n",
       "      <td>0.2345</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>110</th>\n",
       "      <td>0.3509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>111</th>\n",
       "      <td>0.6626</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>112</th>\n",
       "      <td>0.4458</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>113</th>\n",
       "      <td>0.3684</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>114</th>\n",
       "      <td>0.5735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>115</th>\n",
       "      <td>0.0944</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>0.2403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117</th>\n",
       "      <td>0.3339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>118</th>\n",
       "      <td>0.2622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119</th>\n",
       "      <td>0.2569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>0.1164</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>0.0737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>0.1196</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>204</th>\n",
       "      <td>0.2698</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>0.0237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>206</th>\n",
       "      <td>0.2613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>207</th>\n",
       "      <td>0.0106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>208</th>\n",
       "      <td>0.0095</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>209</th>\n",
       "      <td>0.1387</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>210</th>\n",
       "      <td>0.0972</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>211</th>\n",
       "      <td>0.0698</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"30\" valign=\"top\">1913</th>\n",
       "      <th>1781</th>\n",
       "      <td>0.0858</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1782</th>\n",
       "      <td>1.3428</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1783</th>\n",
       "      <td>0.7599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1784</th>\n",
       "      <td>0.0816</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1801</th>\n",
       "      <td>3155.7934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1802</th>\n",
       "      <td>119.7499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1803</th>\n",
       "      <td>1188.3122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1804</th>\n",
       "      <td>28.7936</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1805</th>\n",
       "      <td>71.6565</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1806</th>\n",
       "      <td>6.2300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1807</th>\n",
       "      <td>26.4169</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1808</th>\n",
       "      <td>3.7560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1809</th>\n",
       "      <td>11.4795</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1810</th>\n",
       "      <td>66.1949</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1811</th>\n",
       "      <td>1.5953</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1812</th>\n",
       "      <td>34.7306</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1813</th>\n",
       "      <td>1.8099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1901</th>\n",
       "      <td>2.3164</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1902</th>\n",
       "      <td>11.2327</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1903</th>\n",
       "      <td>45.7226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1904</th>\n",
       "      <td>5741.9848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1905</th>\n",
       "      <td>29.2176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1906</th>\n",
       "      <td>14.8447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1907</th>\n",
       "      <td>3.6403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1908</th>\n",
       "      <td>5.7690</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1909</th>\n",
       "      <td>84.8270</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1910</th>\n",
       "      <td>1.7470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1911</th>\n",
       "      <td>15.4561</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1912</th>\n",
       "      <td>557.1537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1913</th>\n",
       "      <td>25649.8144</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>707281 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "               temp10\n",
       "O    D               \n",
       "101  101       1.5615\n",
       "     102       0.0338\n",
       "     103       4.1628\n",
       "     104       2.0070\n",
       "     105       1.5930\n",
       "     106       0.1395\n",
       "     107       0.8108\n",
       "     108       0.7475\n",
       "     109       0.2345\n",
       "     110       0.3509\n",
       "     111       0.6626\n",
       "     112       0.4458\n",
       "     113       0.3684\n",
       "     114       0.5735\n",
       "     115       0.0944\n",
       "     116       0.2403\n",
       "     117       0.3339\n",
       "     118       0.2622\n",
       "     119       0.2569\n",
       "     201       0.1164\n",
       "     202       0.0737\n",
       "     203       0.1196\n",
       "     204       0.2698\n",
       "     205       0.0237\n",
       "     206       0.2613\n",
       "     207       0.0106\n",
       "     208       0.0095\n",
       "     209       0.1387\n",
       "     210       0.0972\n",
       "     211       0.0698\n",
       "...               ...\n",
       "1913 1781      0.0858\n",
       "     1782      1.3428\n",
       "     1783      0.7599\n",
       "     1784      0.0816\n",
       "     1801   3155.7934\n",
       "     1802    119.7499\n",
       "     1803   1188.3122\n",
       "     1804     28.7936\n",
       "     1805     71.6565\n",
       "     1806      6.2300\n",
       "     1807     26.4169\n",
       "     1808      3.7560\n",
       "     1809     11.4795\n",
       "     1810     66.1949\n",
       "     1811      1.5953\n",
       "     1812     34.7306\n",
       "     1813      1.8099\n",
       "     1901      2.3164\n",
       "     1902     11.2327\n",
       "     1903     45.7226\n",
       "     1904   5741.9848\n",
       "     1905     29.2176\n",
       "     1906     14.8447\n",
       "     1907      3.6403\n",
       "     1908      5.7690\n",
       "     1909     84.8270\n",
       "     1910      1.7470\n",
       "     1911     15.4561\n",
       "     1912    557.1537\n",
       "     1913  25649.8144\n",
       "\n",
       "[707281 rows x 1 columns]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DEMMANDp = os.path.join('example_data', 'Demand_EMME.txt')\n",
    "DEMMAND = Matrix.read_EMME(DEMMANDp)\n",
    "DEMMAND"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>Dist</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>O</th>\n",
       "      <th>D</th>\n",
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       "  <tbody>\n",
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       "      <th>3</th>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>23180.99800</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>15533.99800</td>\n",
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       "      <th>6</th>\n",
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       "      <th>7</th>\n",
       "      <td>47291.00000</td>\n",
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       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9940.00195</td>\n",
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       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>10772.00290</td>\n",
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       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>17327.00190</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>26253.00000</td>\n",
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       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>45012.00780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>53452.00780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>51295.01170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>90100.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>91504.98430</td>\n",
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       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>60492.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>68650.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>69266.00780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>67486.00000</td>\n",
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       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>49757.00780</td>\n",
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       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>34456.00000</td>\n",
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       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>51594.00000</td>\n",
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       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>102760.98400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>64037.98820</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>41513.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>91613.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>108692.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>73069.63280</td>\n",
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       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>65341.63670</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th rowspan=\"30\" valign=\"top\">149</th>\n",
       "      <th>120</th>\n",
       "      <td>15081.77390</td>\n",
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       "    <tr>\n",
       "      <th>121</th>\n",
       "      <td>13096.00980</td>\n",
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       "    <tr>\n",
       "      <th>122</th>\n",
       "      <td>16533.95410</td>\n",
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       "    <tr>\n",
       "      <th>123</th>\n",
       "      <td>16509.12840</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>124</th>\n",
       "      <td>17529.24740</td>\n",
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       "    <tr>\n",
       "      <th>125</th>\n",
       "      <td>13382.89200</td>\n",
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       "    <tr>\n",
       "      <th>126</th>\n",
       "      <td>27195.85680</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>127</th>\n",
       "      <td>31722.18240</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>128</th>\n",
       "      <td>25792.68790</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>129</th>\n",
       "      <td>25349.91560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>130</th>\n",
       "      <td>23291.95230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>131</th>\n",
       "      <td>25776.55050</td>\n",
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       "    <tr>\n",
       "      <th>132</th>\n",
       "      <td>41845.24460</td>\n",
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       "    <tr>\n",
       "      <th>133</th>\n",
       "      <td>36035.65900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>134</th>\n",
       "      <td>42309.50000</td>\n",
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       "    <tr>\n",
       "      <th>135</th>\n",
       "      <td>37355.94660</td>\n",
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       "    <tr>\n",
       "      <th>136</th>\n",
       "      <td>51069.27820</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>137</th>\n",
       "      <td>50770.79190</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>138</th>\n",
       "      <td>47824.90030</td>\n",
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       "    <tr>\n",
       "      <th>139</th>\n",
       "      <td>55480.78080</td>\n",
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       "    <tr>\n",
       "      <th>140</th>\n",
       "      <td>45454.57720</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>141</th>\n",
       "      <td>44222.90500</td>\n",
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       "    <tr>\n",
       "      <th>142</th>\n",
       "      <td>41739.51850</td>\n",
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       "    <tr>\n",
       "      <th>143</th>\n",
       "      <td>38885.96880</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>144</th>\n",
       "      <td>31699.49650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>145</th>\n",
       "      <td>21592.85070</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>146</th>\n",
       "      <td>18044.11030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>147</th>\n",
       "      <td>17055.16570</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>148</th>\n",
       "      <td>10935.56100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>149</th>\n",
       "      <td>2840.78815</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>22138 rows × 1 columns</p>\n",
       "</div>"
      ],
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       "                 Dist\n",
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       "    22    34456.00000\n",
       "    23    51594.00000\n",
       "    24   102760.98400\n",
       "    25    64037.98820\n",
       "    26    41513.00000\n",
       "    27    91613.00000\n",
       "    28   108692.00000\n",
       "    29    73069.63280\n",
       "    30    65341.63670\n",
       "...               ...\n",
       "149 120   15081.77390\n",
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       "    136   51069.27820\n",
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       "    142   41739.51850\n",
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       "    148   10935.56100\n",
       "    149    2840.78815\n",
       "\n",
       "[22138 rows x 1 columns]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DISTp = os.path.join('example_data', 'Dist_EMME.txt')\n",
    "DIST = Matrix.read_EMME(DISTp)\n",
    "DIST"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
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       "   T1   T2  T3\n",
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      ]
     },
     "execution_count": 27,
     "metadata": {},
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    }
   ],
   "source": [
    "tTO = randomizeTE(mat7.TO)\n",
    "tTO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
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    "scrolled": false
   },
   "outputs": [
    {
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      "text/plain": [
       "   T1   T2  T3\n",
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     },
     "execution_count": 28,
     "metadata": {},
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    }
   ],
   "source": [
    "tTD = randomizeTE(mat7.TD)\n",
    "tTD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
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   "outputs": [
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       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1.0</td>\n",
       "      <td>6.307993</td>\n",
       "      <td>10.246879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.0</td>\n",
       "      <td>6.924926</td>\n",
       "      <td>6.655172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">2</th>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>6.612651</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>7.634426</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0</td>\n",
       "      <td>9.773895</td>\n",
       "      <td>9.697314</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.0</td>\n",
       "      <td>10.675124</td>\n",
       "      <td>12.971176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.0</td>\n",
       "      <td>11.629356</td>\n",
       "      <td>12.283192</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.0</td>\n",
       "      <td>12.771845</td>\n",
       "      <td>10.439458</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1.0</td>\n",
       "      <td>12.942419</td>\n",
       "      <td>6.780249</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">3</th>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>12.309394</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>13.474531</td>\n",
       "      <td>5.914362</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>16.495913</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.0</td>\n",
       "      <td>17.342532</td>\n",
       "      <td>12.594469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.0</td>\n",
       "      <td>18.280488</td>\n",
       "      <td>11.926465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1.0</td>\n",
       "      <td>19.507429</td>\n",
       "      <td>10.136277</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1.0</td>\n",
       "      <td>19.273762</td>\n",
       "      <td>6.583338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">4</th>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>19.806788</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>21.250418</td>\n",
       "      <td>5.397342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>25.549633</td>\n",
       "      <td>8.592589</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>26.425669</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.0</td>\n",
       "      <td>27.444386</td>\n",
       "      <td>10.883882</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1.0</td>\n",
       "      <td>28.892145</td>\n",
       "      <td>9.250187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.0</td>\n",
       "      <td>28.193644</td>\n",
       "      <td>6.007838</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">5</th>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>26.711584</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>28.357710</td>\n",
       "      <td>6.379899</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0</td>\n",
       "      <td>33.763338</td>\n",
       "      <td>10.156823</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.0</td>\n",
       "      <td>34.605587</td>\n",
       "      <td>13.585818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.0</td>\n",
       "      <td>35.637265</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.0</td>\n",
       "      <td>37.222471</td>\n",
       "      <td>10.934134</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1.0</td>\n",
       "      <td>36.055497</td>\n",
       "      <td>7.101532</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">6</th>\n",
       "      <th>1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>35.184615</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>37.110797</td>\n",
       "      <td>5.494983</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>43.915307</td>\n",
       "      <td>8.748032</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.0</td>\n",
       "      <td>44.751696</td>\n",
       "      <td>11.701413</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.0</td>\n",
       "      <td>45.835194</td>\n",
       "      <td>11.080776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1.0</td>\n",
       "      <td>47.627611</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1.0</td>\n",
       "      <td>45.909375</td>\n",
       "      <td>6.116522</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">7</th>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>38.050905</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>39.957423</td>\n",
       "      <td>6.054075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>47.085923</td>\n",
       "      <td>9.638110</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>47.791313</td>\n",
       "      <td>12.891985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1.0</td>\n",
       "      <td>48.762187</td>\n",
       "      <td>12.208201</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1.0</td>\n",
       "      <td>50.485006</td>\n",
       "      <td>10.375723</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.0</td>\n",
       "      <td>48.494715</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      T1         T2         T3\n",
       "O D                           \n",
       "1 1  0.0   0.884536   0.000000\n",
       "  2  1.0   1.815489   5.978897\n",
       "  3  1.0   3.137752   9.518425\n",
       "  4  0.0   4.154032  12.731894\n",
       "  5  1.0   5.185302  12.056601\n",
       "  6  1.0   6.307993  10.246879\n",
       "  7  0.0   6.924926   6.655172\n",
       "2 1  1.0   6.612651   0.000000\n",
       "  2  1.0   7.634426   0.000000\n",
       "  3  0.0   9.773895   9.697314\n",
       "  4  1.0  10.675124  12.971176\n",
       "  5  1.0  11.629356  12.283192\n",
       "  6  0.0  12.771845  10.439458\n",
       "  7  1.0  12.942419   6.780249\n",
       "3 1  1.0  12.309394   0.000000\n",
       "  2  0.0  13.474531   5.914362\n",
       "  3  1.0  16.495913   0.000000\n",
       "  4  1.0  17.342532  12.594469\n",
       "  5  0.0  18.280488  11.926465\n",
       "  6  1.0  19.507429  10.136277\n",
       "  7  1.0  19.273762   6.583338\n",
       "4 1  0.0  19.806788   0.000000\n",
       "  2  1.0  21.250418   5.397342\n",
       "  3  1.0  25.549633   8.592589\n",
       "  4  0.0  26.425669   0.000000\n",
       "  5  1.0  27.444386  10.883882\n",
       "  6  1.0  28.892145   9.250187\n",
       "  7  0.0  28.193644   6.007838\n",
       "5 1  1.0  26.711584   0.000000\n",
       "  2  1.0  28.357710   6.379899\n",
       "  3  0.0  33.763338  10.156823\n",
       "  4  1.0  34.605587  13.585818\n",
       "  5  1.0  35.637265   0.000000\n",
       "  6  0.0  37.222471  10.934134\n",
       "  7  1.0  36.055497   7.101532\n",
       "6 1  1.0  35.184615   0.000000\n",
       "  2  0.0  37.110797   5.494983\n",
       "  3  1.0  43.915307   8.748032\n",
       "  4  1.0  44.751696  11.701413\n",
       "  5  0.0  45.835194  11.080776\n",
       "  6  1.0  47.627611   0.000000\n",
       "  7  1.0  45.909375   6.116522\n",
       "7 1  0.0  38.050905   0.000000\n",
       "  2  1.0  39.957423   6.054075\n",
       "  3  1.0  47.085923   9.638110\n",
       "  4  0.0  47.791313  12.891985\n",
       "  5  1.0  48.762187  12.208201\n",
       "  6  1.0  50.485006  10.375723\n",
       "  7  0.0  48.494715   0.000000"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fmat7 = mat7.furness(tTO, tTD)\n",
    "fmat7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.6274727613217124"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max([max(x,y) for x,y in zip((fmat7.TO - tTO).abs().max(), (fmat7.TD - tTD).abs().max())])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TLD examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>T</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zone_O</th>\n",
       "      <th>zone_D</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"30\" valign=\"top\">1001</th>\n",
       "      <th>1001</th>\n",
       "      <td>16.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1002</th>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1003</th>\n",
       "      <td>16.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1004</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1005</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1006</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1007</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1008</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1009</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1010</th>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1011</th>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1012</th>\n",
       "      <td>21.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1013</th>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1014</th>\n",
       "      <td>12.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1015</th>\n",
       "      <td>27.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1016</th>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1017</th>\n",
       "      <td>28.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1018</th>\n",
       "      <td>70.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1019</th>\n",
       "      <td>66.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1020</th>\n",
       "      <td>11.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1021</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1022</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1023</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1024</th>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1025</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1026</th>\n",
       "      <td>13.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1027</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1029</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1030</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1031</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"30\" valign=\"top\">8001</th>\n",
       "      <th>6520</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6524</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6526</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6528</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6530</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6531</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6538</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6543</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6564</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6566</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6579</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6581</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6585</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6586</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6588</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6599</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6609</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6615</th>\n",
       "      <td>15.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6616</th>\n",
       "      <td>17.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6617</th>\n",
       "      <td>55.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6618</th>\n",
       "      <td>95.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6619</th>\n",
       "      <td>262.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6620</th>\n",
       "      <td>520.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6621</th>\n",
       "      <td>160.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6622</th>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6623</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6624</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6626</th>\n",
       "      <td>26.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8000</th>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8001</th>\n",
       "      <td>35.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>381942 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                   T\n",
       "zone_O zone_D       \n",
       "1001   1001     16.0\n",
       "       1002      8.0\n",
       "       1003     16.0\n",
       "       1004      6.0\n",
       "       1005      2.0\n",
       "       1006      6.0\n",
       "       1007      3.0\n",
       "       1008      6.0\n",
       "       1009      6.0\n",
       "       1010     10.0\n",
       "       1011      8.0\n",
       "       1012     21.0\n",
       "       1013      7.0\n",
       "       1014     12.0\n",
       "       1015     27.0\n",
       "       1016      4.0\n",
       "       1017     28.0\n",
       "       1018     70.0\n",
       "       1019     66.0\n",
       "       1020     11.0\n",
       "       1021      6.0\n",
       "       1022      6.0\n",
       "       1023      3.0\n",
       "       1024      8.0\n",
       "       1025      3.0\n",
       "       1026     13.0\n",
       "       1027      2.0\n",
       "       1029      1.0\n",
       "       1030      2.0\n",
       "       1031      2.0\n",
       "...              ...\n",
       "8001   6520      1.0\n",
       "       6524      1.0\n",
       "       6526      1.0\n",
       "       6528      1.0\n",
       "       6530      6.0\n",
       "       6531      2.0\n",
       "       6538      1.0\n",
       "       6543      1.0\n",
       "       6564      2.0\n",
       "       6566      1.0\n",
       "       6579      1.0\n",
       "       6581      3.0\n",
       "       6585      1.0\n",
       "       6586      1.0\n",
       "       6588      1.0\n",
       "       6599      1.0\n",
       "       6609      1.0\n",
       "       6615     15.0\n",
       "       6616     17.0\n",
       "       6617     55.0\n",
       "       6618     95.0\n",
       "       6619    262.0\n",
       "       6620    520.0\n",
       "       6621    160.0\n",
       "       6622      4.0\n",
       "       6623      2.0\n",
       "       6624      3.0\n",
       "       6626     26.0\n",
       "       8000      1.0\n",
       "       8001     35.0\n",
       "\n",
       "[381942 rows x 1 columns]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ex_matrixf = os.path.join('example_data', 'ex_matrix_1.csv')\n",
    "ex_matrix = Matrix(pd.DataFrame.from_csv(ex_matrixf, index_col=[0,1]))\n",
    "ex_matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>meters</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zone_O</th>\n",
       "      <th>zone_D</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"30\" valign=\"top\">1001</th>\n",
       "      <th>1002</th>\n",
       "      <td>395.00003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1003</th>\n",
       "      <td>625.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1004</th>\n",
       "      <td>1045.00012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1005</th>\n",
       "      <td>1225.00012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1006</th>\n",
       "      <td>2404.99951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1007</th>\n",
       "      <td>784.99988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1008</th>\n",
       "      <td>1345.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1009</th>\n",
       "      <td>1699.99976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1010</th>\n",
       "      <td>1610.00012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1011</th>\n",
       "      <td>1965.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1012</th>\n",
       "      <td>2330.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1013</th>\n",
       "      <td>2930.00024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1014</th>\n",
       "      <td>2204.99976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1015</th>\n",
       "      <td>3294.99902</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1016</th>\n",
       "      <td>2945.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1017</th>\n",
       "      <td>3150.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1018</th>\n",
       "      <td>3139.99951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1019</th>\n",
       "      <td>4160.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1020</th>\n",
       "      <td>3845.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1021</th>\n",
       "      <td>3789.99927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1022</th>\n",
       "      <td>4579.99951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1023</th>\n",
       "      <td>4855.00098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1024</th>\n",
       "      <td>4950.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1025</th>\n",
       "      <td>5294.99951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1026</th>\n",
       "      <td>5150.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1027</th>\n",
       "      <td>6894.99902</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1028</th>\n",
       "      <td>6795.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1029</th>\n",
       "      <td>7184.99951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1030</th>\n",
       "      <td>9655.00098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1031</th>\n",
       "      <td>8305.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"30\" valign=\"top\">8001</th>\n",
       "      <th>6600</th>\n",
       "      <td>53748.96094</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6601</th>\n",
       "      <td>54353.96094</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6602</th>\n",
       "      <td>54193.96875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6604</th>\n",
       "      <td>68178.39063</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6605</th>\n",
       "      <td>80427.67188</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6608</th>\n",
       "      <td>56685.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6609</th>\n",
       "      <td>55510.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6610</th>\n",
       "      <td>59349.99219</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6611</th>\n",
       "      <td>61135.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6612</th>\n",
       "      <td>57930.13672</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6613</th>\n",
       "      <td>50023.85547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6614</th>\n",
       "      <td>50455.14063</td>\n",
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       "    <tr>\n",
       "      <th>6615</th>\n",
       "      <td>9334.99805</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6616</th>\n",
       "      <td>6770.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6617</th>\n",
       "      <td>7734.44287</td>\n",
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       "    <tr>\n",
       "      <th>6618</th>\n",
       "      <td>8629.55566</td>\n",
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       "    <tr>\n",
       "      <th>6619</th>\n",
       "      <td>4629.99951</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6620</th>\n",
       "      <td>2805.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6621</th>\n",
       "      <td>3165.00000</td>\n",
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       "    <tr>\n",
       "      <th>6622</th>\n",
       "      <td>11105.00000</td>\n",
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       "    <tr>\n",
       "      <th>6623</th>\n",
       "      <td>37805.55469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6624</th>\n",
       "      <td>37575.75781</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6625</th>\n",
       "      <td>47523.96875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6626</th>\n",
       "      <td>5155.00000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6627</th>\n",
       "      <td>39772.79297</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6628</th>\n",
       "      <td>27860.14648</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6629</th>\n",
       "      <td>60453.96484</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6630</th>\n",
       "      <td>68531.44531</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6631</th>\n",
       "      <td>25420.94141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8000</th>\n",
       "      <td>61044.99609</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1496950 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                    meters\n",
       "zone_O zone_D             \n",
       "1001   1002      395.00003\n",
       "       1003      625.00000\n",
       "       1004     1045.00012\n",
       "       1005     1225.00012\n",
       "       1006     2404.99951\n",
       "       1007      784.99988\n",
       "       1008     1345.00000\n",
       "       1009     1699.99976\n",
       "       1010     1610.00012\n",
       "       1011     1965.00000\n",
       "       1012     2330.00000\n",
       "       1013     2930.00024\n",
       "       1014     2204.99976\n",
       "       1015     3294.99902\n",
       "       1016     2945.00000\n",
       "       1017     3150.00000\n",
       "       1018     3139.99951\n",
       "       1019     4160.00000\n",
       "       1020     3845.00000\n",
       "       1021     3789.99927\n",
       "       1022     4579.99951\n",
       "       1023     4855.00098\n",
       "       1024     4950.00000\n",
       "       1025     5294.99951\n",
       "       1026     5150.00000\n",
       "       1027     6894.99902\n",
       "       1028     6795.00000\n",
       "       1029     7184.99951\n",
       "       1030     9655.00098\n",
       "       1031     8305.00000\n",
       "...                    ...\n",
       "8001   6600    53748.96094\n",
       "       6601    54353.96094\n",
       "       6602    54193.96875\n",
       "       6604    68178.39063\n",
       "       6605    80427.67188\n",
       "       6608    56685.00000\n",
       "       6609    55510.00000\n",
       "       6610    59349.99219\n",
       "       6611    61135.00000\n",
       "       6612    57930.13672\n",
       "       6613    50023.85547\n",
       "       6614    50455.14063\n",
       "       6615     9334.99805\n",
       "       6616     6770.00000\n",
       "       6617     7734.44287\n",
       "       6618     8629.55566\n",
       "       6619     4629.99951\n",
       "       6620     2805.00000\n",
       "       6621     3165.00000\n",
       "       6622    11105.00000\n",
       "       6623    37805.55469\n",
       "       6624    37575.75781\n",
       "       6625    47523.96875\n",
       "       6626     5155.00000\n",
       "       6627    39772.79297\n",
       "       6628    27860.14648\n",
       "       6629    60453.96484\n",
       "       6630    68531.44531\n",
       "       6631    25420.94141\n",
       "       8000    61044.99609\n",
       "\n",
       "[1496950 rows x 1 columns]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ex_skimdistf = os.path.join('example_data', 'ex_skimdist_1.csv')\n",
    "ex_skimdist = Matrix(pd.DataFrame.from_csv(ex_skimdistf, index_col=[0,1]))\n",
    "ex_skimdist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "## Fill intrazonals\n",
    "ex_skimdist = ex_skimdist.complete(ex_matrix.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
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       "      <th>T</th>\n",
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       "    <tr>\n",
       "      <th>meters</th>\n",
       "      <th></th>\n",
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       "      <th>265</th>\n",
       "      <td>19.0</td>\n",
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       "    <tr>\n",
       "      <th>270</th>\n",
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       "      <th>280</th>\n",
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       "    <tr>\n",
       "      <th>300</th>\n",
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       "      <th>305</th>\n",
       "      <td>35.0</td>\n",
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       "    <tr>\n",
       "      <th>315</th>\n",
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       "    <tr>\n",
       "      <th>320</th>\n",
       "      <td>5.0</td>\n",
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       "    <tr>\n",
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       "    <tr>\n",
       "      <th>330</th>\n",
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       "    <tr>\n",
       "      <th>360</th>\n",
       "      <td>41.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>365</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>370</th>\n",
       "      <td>21.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>375</th>\n",
       "      <td>17.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>771090</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>772630</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>773455</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>775125</th>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>776765</th>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>776900</th>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>778100</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>778280</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>779455</th>\n",
       "      <td>375.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>781825</th>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>781830</th>\n",
       "      <td>12.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>782250</th>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>782800</th>\n",
       "      <td>99.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>782985</th>\n",
       "      <td>42.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>782990</th>\n",
       "      <td>50.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>783760</th>\n",
       "      <td>100.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>784140</th>\n",
       "      <td>30.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>794815</th>\n",
       "      <td>180.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>797065</th>\n",
       "      <td>193.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>797145</th>\n",
       "      <td>93.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>805335</th>\n",
       "      <td>378.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>811615</th>\n",
       "      <td>261.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>811660</th>\n",
       "      <td>290.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>813830</th>\n",
       "      <td>214.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>871825</th>\n",
       "      <td>211.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>873435</th>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>873480</th>\n",
       "      <td>57.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>887760</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>926415</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1038020</th>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>58329 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                T\n",
       "meters           \n",
       "0             0.0\n",
       "5        322828.0\n",
       "205          84.0\n",
       "210          16.0\n",
       "215           3.0\n",
       "225           NaN\n",
       "235          24.0\n",
       "240           NaN\n",
       "245          62.0\n",
       "255          21.0\n",
       "260          69.0\n",
       "265          19.0\n",
       "270          10.0\n",
       "280          15.0\n",
       "285           NaN\n",
       "290           NaN\n",
       "295          24.0\n",
       "300          70.0\n",
       "305          35.0\n",
       "315          27.0\n",
       "320           5.0\n",
       "325         106.0\n",
       "330         128.0\n",
       "335          12.0\n",
       "345          12.0\n",
       "350         134.0\n",
       "360          41.0\n",
       "365           2.0\n",
       "370          21.0\n",
       "375          17.0\n",
       "...           ...\n",
       "771090        3.0\n",
       "772630        3.0\n",
       "773455        NaN\n",
       "775125        3.0\n",
       "776765        5.0\n",
       "776900        5.0\n",
       "778100        NaN\n",
       "778280        NaN\n",
       "779455      375.0\n",
       "781825        8.0\n",
       "781830       12.0\n",
       "782250        6.0\n",
       "782800       99.0\n",
       "782985       42.0\n",
       "782990       50.0\n",
       "783760      100.0\n",
       "784140       30.0\n",
       "794815      180.0\n",
       "797065      193.0\n",
       "797145       93.0\n",
       "805335      378.0\n",
       "811615      261.0\n",
       "811660      290.0\n",
       "813830      214.0\n",
       "871825      211.0\n",
       "873435        2.0\n",
       "873480       57.0\n",
       "887760        NaN\n",
       "926415        NaN\n",
       "1038020       NaN\n",
       "\n",
       "[58329 rows x 1 columns]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ex_TLD = TLD.from_mat(ex_matrix, ex_skimdist, 5)\n",
    "ex_TLD"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T    4864971.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ex_TLD.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>D1</th>\n",
       "      <th>D2</th>\n",
       "      <th>D3</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>O</th>\n",
       "      <th>D</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">1</th>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>9</td>\n",
       "      <td>4.500000</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>64</td>\n",
       "      <td>21.333333</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>225</td>\n",
       "      <td>56.250000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>576</td>\n",
       "      <td>115.200000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1225</td>\n",
       "      <td>204.166667</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2304</td>\n",
       "      <td>329.142857</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">2</th>\n",
       "      <th>1</th>\n",
       "      <td>9</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>25</td>\n",
       "      <td>8.333333</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>144</td>\n",
       "      <td>36.000000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>441</td>\n",
       "      <td>88.200000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1024</td>\n",
       "      <td>170.666667</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2025</td>\n",
       "      <td>289.285714</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">3</th>\n",
       "      <th>1</th>\n",
       "      <td>64</td>\n",
       "      <td>64.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>25</td>\n",
       "      <td>12.500000</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>49</td>\n",
       "      <td>12.250000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>256</td>\n",
       "      <td>51.200000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>729</td>\n",
       "      <td>121.500000</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1600</td>\n",
       "      <td>228.571429</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">4</th>\n",
       "      <th>1</th>\n",
       "      <td>225</td>\n",
       "      <td>225.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>144</td>\n",
       "      <td>72.000000</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>49</td>\n",
       "      <td>16.333333</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>81</td>\n",
       "      <td>16.200000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>400</td>\n",
       "      <td>66.666667</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1089</td>\n",
       "      <td>155.571429</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">5</th>\n",
       "      <th>1</th>\n",
       "      <td>576</td>\n",
       "      <td>576.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>441</td>\n",
       "      <td>220.500000</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>256</td>\n",
       "      <td>85.333333</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>81</td>\n",
       "      <td>20.250000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>121</td>\n",
       "      <td>20.166667</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>576</td>\n",
       "      <td>82.285714</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">6</th>\n",
       "      <th>1</th>\n",
       "      <td>1225</td>\n",
       "      <td>1225.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1024</td>\n",
       "      <td>512.000000</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>729</td>\n",
       "      <td>243.000000</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>400</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>121</td>\n",
       "      <td>24.200000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>169</td>\n",
       "      <td>24.142857</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">7</th>\n",
       "      <th>1</th>\n",
       "      <td>2304</td>\n",
       "      <td>2304.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2025</td>\n",
       "      <td>1012.500000</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1600</td>\n",
       "      <td>533.333333</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1089</td>\n",
       "      <td>272.250000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>576</td>\n",
       "      <td>115.200000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>169</td>\n",
       "      <td>28.166667</td>\n",
       "      <td>10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       D1           D2  D3\n",
       "O D                       \n",
       "1 1     0     0.000000   0\n",
       "  2     9     4.500000   6\n",
       "  3    64    21.333333  10\n",
       "  4   225    56.250000  12\n",
       "  5   576   115.200000  12\n",
       "  6  1225   204.166667  10\n",
       "  7  2304   329.142857   6\n",
       "2 1     9     9.000000   0\n",
       "  2     0     0.000000   0\n",
       "  3    25     8.333333  10\n",
       "  4   144    36.000000  12\n",
       "  5   441    88.200000  12\n",
       "  6  1024   170.666667  10\n",
       "  7  2025   289.285714   6\n",
       "3 1    64    64.000000   0\n",
       "  2    25    12.500000   6\n",
       "  3     0     0.000000   0\n",
       "  4    49    12.250000  12\n",
       "  5   256    51.200000  12\n",
       "  6   729   121.500000  10\n",
       "  7  1600   228.571429   6\n",
       "4 1   225   225.000000   0\n",
       "  2   144    72.000000   6\n",
       "  3    49    16.333333  10\n",
       "  4     0     0.000000   0\n",
       "  5    81    16.200000  12\n",
       "  6   400    66.666667  10\n",
       "  7  1089   155.571429   6\n",
       "5 1   576   576.000000   0\n",
       "  2   441   220.500000   6\n",
       "  3   256    85.333333  10\n",
       "  4    81    20.250000  12\n",
       "  5     0     0.000000   0\n",
       "  6   121    20.166667  10\n",
       "  7   576    82.285714   6\n",
       "6 1  1225  1225.000000   0\n",
       "  2  1024   512.000000   6\n",
       "  3   729   243.000000  10\n",
       "  4   400   100.000000  12\n",
       "  5   121    24.200000  12\n",
       "  6     0     0.000000   0\n",
       "  7   169    24.142857   6\n",
       "7 1  2304  2304.000000   0\n",
       "  2  2025  1012.500000   6\n",
       "  3  1600   533.333333  10\n",
       "  4  1089   272.250000  12\n",
       "  5   576   115.200000  12\n",
       "  6   169    28.166667  10\n",
       "  7     0     0.000000   0"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dst = mat7.copy()\n",
    "dst['T1'] = (dst.index.get_level_values(0)**2 - dst.index.get_level_values(1)**2)**2\n",
    "dst['T2'] = dst['T1'] / dst.index.get_level_values(0)\n",
    "dst['T2'] = dst['T1'] / dst.index.get_level_values(1)\n",
    "dst.columns = 'D1 D2 D3'.split()\n",
    "dst"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
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       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>D3</th>\n",
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       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>10</th>\n",
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       "      <td>299.0</td>\n",
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       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>16.0</td>\n",
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      "text/plain": [
       "      T1     T2     T3\n",
       "D3                    \n",
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       "5    8.0  328.0    0.0\n",
       "10   8.0  299.0   72.0\n",
       "15  16.0  598.0  264.0"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TLD_single = TLD.from_mat_single(mat7,dst,dist_band=5)\n",
    "TLD_single"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
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       "      <td>NaN</td>\n",
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       "      <td>2.0</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>28.0</td>\n",
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       "    <tr>\n",
       "      <th>170</th>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>175</th>\n",
       "      <td>NaN</td>\n",
       "      <td>13.0</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <th>225</th>\n",
       "      <td>NaN</td>\n",
       "      <td>30.0</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>0.0</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>260</th>\n",
       "      <td>0.0</td>\n",
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       "      <td>NaN</td>\n",
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       "      <th>275</th>\n",
       "      <td>NaN</td>\n",
       "      <td>46.0</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>290</th>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>330</th>\n",
       "      <td>NaN</td>\n",
       "      <td>7.0</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>405</th>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>445</th>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>515</th>\n",
       "      <td>NaN</td>\n",
       "      <td>37.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>535</th>\n",
       "      <td>NaN</td>\n",
       "      <td>45.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>580</th>\n",
       "      <td>4.0</td>\n",
       "      <td>29.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>730</th>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1015</th>\n",
       "      <td>NaN</td>\n",
       "      <td>44.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1025</th>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1090</th>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1230</th>\n",
       "      <td>2.0</td>\n",
       "      <td>36.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1605</th>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2030</th>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2305</th>\n",
       "      <td>0.0</td>\n",
       "      <td>43.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       T1     T2     T3\n",
       "0     0.0    0.0    0.0\n",
       "5     4.0  177.0    0.0\n",
       "10    2.0   18.0   72.0\n",
       "15    NaN   34.0  264.0\n",
       "20    NaN   50.0    NaN\n",
       "25    NaN  151.0    NaN\n",
       "30    0.0   48.0    NaN\n",
       "40    NaN   11.0    NaN\n",
       "50    2.0    NaN    NaN\n",
       "55    NaN   19.0    NaN\n",
       "60    NaN    4.0    NaN\n",
       "65    2.0   15.0    NaN\n",
       "70    NaN   27.0    NaN\n",
       "75    NaN   23.0    NaN\n",
       "85    2.0   35.0    NaN\n",
       "90    NaN   43.0    NaN\n",
       "105   NaN   39.0    NaN\n",
       "120   NaN   52.0    NaN\n",
       "125   0.0   20.0    NaN\n",
       "145   2.0    NaN    NaN\n",
       "160   NaN   28.0    NaN\n",
       "170   2.0    NaN    NaN\n",
       "175   NaN   13.0    NaN\n",
       "205   NaN    6.0    NaN\n",
       "225   NaN   30.0    NaN\n",
       "230   0.0   43.0    NaN\n",
       "245   NaN   38.0    NaN\n",
       "260   0.0    NaN    NaN\n",
       "275   NaN   46.0    NaN\n",
       "290   NaN   14.0    NaN\n",
       "330   NaN    7.0    NaN\n",
       "405   2.0    NaN    NaN\n",
       "445   2.0    NaN    NaN\n",
       "515   NaN   37.0    NaN\n",
       "535   NaN   45.0    NaN\n",
       "580   4.0   29.0    NaN\n",
       "730   2.0    NaN    NaN\n",
       "1015  NaN   44.0    NaN\n",
       "1025  0.0    NaN    NaN\n",
       "1090  0.0    NaN    NaN\n",
       "1230  2.0   36.0    NaN\n",
       "1605  2.0    NaN    NaN\n",
       "2030  2.0    NaN    NaN\n",
       "2305  0.0   43.0    NaN"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TLD_multi = TLD.from_mat(mat7,dst,dist_band=5)\n",
    "TLD_multi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T1      32\n",
       "T2    1225\n",
       "T3     336\n",
       "dtype: int64"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat7.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T1      32.0\n",
       "T2    1225.0\n",
       "T3     336.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TLD_single.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T1      32.0\n",
       "T2    1225.0\n",
       "T3     336.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TLD_multi.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T1    1.0\n",
       "T2    1.0\n",
       "T3    1.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TLD_multi.norm.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "T1      32.0\n",
       "T2    1225.0\n",
       "T3     336.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TLD_multi.band_agg(10).sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "OutputName = os.path.join('.', 'example_outputs', 'TLD.png')\n",
    "TLD_multi.to_PNG(OutputName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "oFileNamePattern = os.path.join('example_outputs', 'TLD_{}.png')\n",
    "TLD_multi.cols_to_PNGs(oFileNamePattern)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "TLD1 = TLD_multi.copy()\n",
    "TLD2 = TLD_multi.copy() + 3\n",
    "TLD3 = TLD_multi.copy()\n",
    "TLD3 = TLD3.apply(lambda x: x + TLD3.index.get_level_values(0))\n",
    "TLDs = [TLD1, TLD2, TLD3]\n",
    "i = 1\n",
    "for TLD in TLDs:\n",
    "    TLD.columns = ['mat{}_{}'.format(i,col) for col in TLD]\n",
    "    i+=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "oFileNamePattern = os.path.join('example_outputs', 'TLD_{}.png')\n",
    "TLD.comparison_to_PNGs(TLDs, oFileNamePattern=oFileNamePattern)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "oFileNamePattern = os.path.join('example_outputs', 'ex_TLD_{}.png')\n",
    "ex_TLD.cols_to_PNGs(oFileNamePattern)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TE comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th colspan=\"3\" halign=\"left\">TO</th>\n",
       "      <th colspan=\"3\" halign=\"left\">TD</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.0</td>\n",
       "      <td>28.410029</td>\n",
       "      <td>57.187869</td>\n",
       "      <td>4.0</td>\n",
       "      <td>139.560473</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5.0</td>\n",
       "      <td>72.039717</td>\n",
       "      <td>52.171390</td>\n",
       "      <td>5.0</td>\n",
       "      <td>149.600795</td>\n",
       "      <td>35.219558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5.0</td>\n",
       "      <td>116.684049</td>\n",
       "      <td>47.154910</td>\n",
       "      <td>5.0</td>\n",
       "      <td>179.721760</td>\n",
       "      <td>56.351293</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.0</td>\n",
       "      <td>177.562683</td>\n",
       "      <td>40.131838</td>\n",
       "      <td>4.0</td>\n",
       "      <td>185.745953</td>\n",
       "      <td>76.476755</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5.0</td>\n",
       "      <td>232.353453</td>\n",
       "      <td>48.158206</td>\n",
       "      <td>5.0</td>\n",
       "      <td>192.774178</td>\n",
       "      <td>70.439117</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>5.0</td>\n",
       "      <td>300.334595</td>\n",
       "      <td>43.141726</td>\n",
       "      <td>5.0</td>\n",
       "      <td>202.814500</td>\n",
       "      <td>61.382659</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>4.0</td>\n",
       "      <td>320.627473</td>\n",
       "      <td>51.168094</td>\n",
       "      <td>4.0</td>\n",
       "      <td>197.794339</td>\n",
       "      <td>39.244651</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    TO                          TD                       \n",
       "    T1          T2         T3   T1          T2         T3\n",
       "1  4.0   28.410029  57.187869  4.0  139.560473   0.000000\n",
       "2  5.0   72.039717  52.171390  5.0  149.600795  35.219558\n",
       "3  5.0  116.684049  47.154910  5.0  179.721760  56.351293\n",
       "4  4.0  177.562683  40.131838  4.0  185.745953  76.476755\n",
       "5  5.0  232.353453  48.158206  5.0  192.774178  70.439117\n",
       "6  5.0  300.334595  43.141726  5.0  202.814500  61.382659\n",
       "7  4.0  320.627473  51.168094  4.0  197.794339  39.244651"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fmat7.TE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "oFileNamePattern = os.path.join('example_outputs', '{}')\n",
    "TE_comparison_to_PNGs(mat7,fmat7, oFileNamePattern=oFileNamePattern, prefixes='mat_ fmat7_'.split())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>slope</th>\n",
       "      <th>intercept</th>\n",
       "      <th>R2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>mat_TO_T1 - fmat7_TO_T1</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mat_TO_T2 - fmat7_TO_T2</th>\n",
       "      <td>1.056058</td>\n",
       "      <td>-6.522711</td>\n",
       "      <td>0.991404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mat_TO_T3 - fmat7_TO_T3</th>\n",
       "      <td>1.164540</td>\n",
       "      <td>-7.453056</td>\n",
       "      <td>0.772113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mat_TD_T1 - fmat7_TD_T1</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mat_TD_T2 - fmat7_TD_T2</th>\n",
       "      <td>1.500926</td>\n",
       "      <td>-84.374561</td>\n",
       "      <td>0.865204</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mat_TD_T3 - fmat7_TD_T3</th>\n",
       "      <td>1.003278</td>\n",
       "      <td>0.287507</td>\n",
       "      <td>0.988453</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                            slope  intercept        R2\n",
       "mat_TO_T1 - fmat7_TO_T1  1.000000   0.000000  1.000000\n",
       "mat_TO_T2 - fmat7_TO_T2  1.056058  -6.522711  0.991404\n",
       "mat_TO_T3 - fmat7_TO_T3  1.164540  -7.453056  0.772113\n",
       "mat_TD_T1 - fmat7_TD_T1  1.000000   0.000000  1.000000\n",
       "mat_TD_T2 - fmat7_TD_T2  1.500926 -84.374561  0.865204\n",
       "mat_TD_T3 - fmat7_TD_T3  1.003278   0.287507  0.988453"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TE_RegressionStats(mat7,fmat7, prefixes='mat_ fmat7_'.split())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gravity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2.5</th>\n",
       "      <td>0.1250</td>\n",
       "      <td>0.144490</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.014694</td>\n",
       "      <td>0.214286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.027755</td>\n",
       "      <td>0.785714</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.040816</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.123265</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27.5</th>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.039184</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.008980</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.015510</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.003265</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>62.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.012245</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.022041</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.018776</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>82.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.028571</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>87.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.035102</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>102.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.031837</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>117.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.042449</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>122.5</th>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.016327</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>142.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>157.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.022857</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>167.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>172.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.010612</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.004898</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>222.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.024490</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>227.5</th>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.035102</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>242.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.031020</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>257.5</th>\n",
       "      <td>0.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>272.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.037551</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>287.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.011429</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>327.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.005714</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>402.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>442.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>512.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.030204</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>532.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.036735</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>577.5</th>\n",
       "      <td>0.1250</td>\n",
       "      <td>0.023673</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>727.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1012.5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.035918</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1022.5</th>\n",
       "      <td>0.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1087.5</th>\n",
       "      <td>0.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1227.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>0.029388</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1602.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2027.5</th>\n",
       "      <td>0.0625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2302.5</th>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.035102</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            T1        T2        T3\n",
       "2.5     0.1250  0.144490  0.000000\n",
       "7.5     0.0625  0.014694  0.214286\n",
       "12.5       NaN  0.027755  0.785714\n",
       "17.5       NaN  0.040816       NaN\n",
       "22.5       NaN  0.123265       NaN\n",
       "27.5    0.0000  0.039184       NaN\n",
       "37.5       NaN  0.008980       NaN\n",
       "47.5    0.0625       NaN       NaN\n",
       "52.5       NaN  0.015510       NaN\n",
       "57.5       NaN  0.003265       NaN\n",
       "62.5    0.0625  0.012245       NaN\n",
       "67.5       NaN  0.022041       NaN\n",
       "72.5       NaN  0.018776       NaN\n",
       "82.5    0.0625  0.028571       NaN\n",
       "87.5       NaN  0.035102       NaN\n",
       "102.5      NaN  0.031837       NaN\n",
       "117.5      NaN  0.042449       NaN\n",
       "122.5   0.0000  0.016327       NaN\n",
       "142.5   0.0625       NaN       NaN\n",
       "157.5      NaN  0.022857       NaN\n",
       "167.5   0.0625       NaN       NaN\n",
       "172.5      NaN  0.010612       NaN\n",
       "202.5      NaN  0.004898       NaN\n",
       "222.5      NaN  0.024490       NaN\n",
       "227.5   0.0000  0.035102       NaN\n",
       "242.5      NaN  0.031020       NaN\n",
       "257.5   0.0000       NaN       NaN\n",
       "272.5      NaN  0.037551       NaN\n",
       "287.5      NaN  0.011429       NaN\n",
       "327.5      NaN  0.005714       NaN\n",
       "402.5   0.0625       NaN       NaN\n",
       "442.5   0.0625       NaN       NaN\n",
       "512.5      NaN  0.030204       NaN\n",
       "532.5      NaN  0.036735       NaN\n",
       "577.5   0.1250  0.023673       NaN\n",
       "727.5   0.0625       NaN       NaN\n",
       "1012.5     NaN  0.035918       NaN\n",
       "1022.5  0.0000       NaN       NaN\n",
       "1087.5  0.0000       NaN       NaN\n",
       "1227.5  0.0625  0.029388       NaN\n",
       "1602.5  0.0625       NaN       NaN\n",
       "2027.5  0.0625       NaN       NaN\n",
       "2302.5  0.0000  0.035102       NaN"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TLD_multi_for_ParamEst = TLD_multi.loc[1:,:]\n",
    "TLD_multi_for_ParamEst = TLD_multi_for_ParamEst.mid_band(factor=-0.5)\n",
    "TLD_multi_for_ParamEst = TLD_multi_for_ParamEst.norm\n",
    "TLD_multi_for_ParamEst"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'T1': [<scipy.stats._distn_infrastructure.rv_frozen at 0x16d9a1d0>,\n",
       "  <scipy.stats._distn_infrastructure.rv_frozen at 0x168eaa20>,\n",
       "  <scipy.stats._distn_infrastructure.rv_frozen at 0x168eab00>],\n",
       " 'T2': [<scipy.stats._distn_infrastructure.rv_frozen at 0x16726a58>,\n",
       "  <scipy.stats._distn_infrastructure.rv_frozen at 0x167266d8>,\n",
       "  <scipy.stats._distn_infrastructure.rv_frozen at 0x16726390>],\n",
       " 'T3': [<scipy.stats._distn_infrastructure.rv_frozen at 0x16564320>,\n",
       "  <scipy.stats._distn_infrastructure.rv_frozen at 0x16564160>,\n",
       "  <scipy.stats._distn_infrastructure.rv_frozen at 0x165647f0>]}"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#lognorm gamma exponnorm exponpow tanner\n",
    "dists = fit_distribs(TLD_multi_for_ParamEst, 'lognorm exponnorm exponpow'.split())\n",
    "dists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>T1</th>\n",
       "      <th>T2</th>\n",
       "      <th>T3</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>O</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4</td>\n",
       "      <td>27</td>\n",
       "      <td>58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5</td>\n",
       "      <td>84</td>\n",
       "      <td>51</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5</td>\n",
       "      <td>116</td>\n",
       "      <td>46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>160</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>239</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>5</td>\n",
       "      <td>247</td>\n",
       "      <td>46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>4</td>\n",
       "      <td>293</td>\n",
       "      <td>45</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   T1   T2  T3\n",
       "O             \n",
       "1   4   27  58\n",
       "2   5   84  51\n",
       "3   5  116  46\n",
       "4   4  160  44\n",
       "5   5  239  44\n",
       "6   5  247  46\n",
       "7   4  293  45"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tTO = randomizeTE(mat7.TO)\n",
    "tTD = randomizeTE(mat7.TO)\n",
    "tTO"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>lognorm</th>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <th>4</th>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">5</th>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
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       "      <th>1</th>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "    <tr>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <th>4</th>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         T1                         T3                         T2            \\\n",
       "    lognorm exponnorm exponpow lognorm exponnorm exponpow lognorm exponnorm   \n",
       "O D                                                                           \n",
       "1 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "2 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "3 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "4 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "5 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "6 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "7 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "\n",
       "              \n",
       "    exponpow  \n",
       "O D           \n",
       "1 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "2 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "3 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "4 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "5 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "6 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "7 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  "
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "syn7 = mat7.ApplyGravityModel(tTO, tTD, dists, furness=False)\n",
    "syn7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['T1', 'T1', 'T1', 'T3', 'T3', 'T3', 'T2', 'T2', 'T2'], dtype='object')"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "syn7.columns.get_level_values(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "##TODO: Debug\n",
    "syn7.loc[:,:] = 1\n",
    "syn7.furness(tTO, tTD)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MultiIndex(levels=[['T1', 'T2', 'T3'], ['exponnorm', 'exponpow', 'lognorm']],\n",
       "           labels=[[0, 0, 0, 2, 2, 2, 1, 1, 1], [2, 0, 1, 2, 0, 1, 2, 0, 1]])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cols = [(k, d.dist.name) for k,dlst in dists.items() for d in dlst]\n",
    "#cols\n",
    "pd.MultiIndex.from_tuples(cols)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th colspan=\"3\" halign=\"left\">T1</th>\n",
       "      <th colspan=\"3\" halign=\"left\">T3</th>\n",
       "      <th colspan=\"3\" halign=\"left\">T2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>lognorm</th>\n",
       "      <th>exponnorm</th>\n",
       "      <th>exponpow</th>\n",
       "      <th>lognorm</th>\n",
       "      <th>exponnorm</th>\n",
       "      <th>exponpow</th>\n",
       "      <th>lognorm</th>\n",
       "      <th>exponnorm</th>\n",
       "      <th>exponpow</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>O</th>\n",
       "      <th>D</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">1</th>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">2</th>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">3</th>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">4</th>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">5</th>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">6</th>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"7\" valign=\"top\">7</th>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         T1                         T3                         T2            \\\n",
       "    lognorm exponnorm exponpow lognorm exponnorm exponpow lognorm exponnorm   \n",
       "O D                                                                           \n",
       "1 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "2 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "3 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "4 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "5 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "6 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "7 1     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  2     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  3     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  4     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  5     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  6     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "  7     NaN       NaN      NaN     NaN       NaN      NaN     NaN       NaN   \n",
       "\n",
       "              \n",
       "    exponpow  \n",
       "O D           \n",
       "1 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "2 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "3 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "4 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "5 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "6 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  \n",
       "7 1      NaN  \n",
       "  2      NaN  \n",
       "  3      NaN  \n",
       "  4      NaN  \n",
       "  5      NaN  \n",
       "  6      NaN  \n",
       "  7      NaN  "
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(index=mat7.index, columns=pd.MultiIndex.from_tuples(cols))\n",
    "#df[(['foo', 'bar'])] = 1\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DEV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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