(* Content-type: application/mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 6.0' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       145,          7]
NotebookDataLength[    770912,      15665]
NotebookOptionsPosition[    751907,      15070]
NotebookOutlinePosition[    753296,      15120]
CellTagsIndexPosition[    753198,      15114]
WindowFrame->Normal
ContainsDynamic->False*)

(* Beginning of Notebook Content *)
Notebook[{
Cell["\<\
Introduction to Neural Networks
U. Minn. Psy 5038

Gaussian generative models, learning, and inference\
\>", "Subtitle",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell["Initialize standard library files:", "Subsubsection"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Off", "[", 
   RowBox[{"General", "::", "spell1"}], "]"}], ";"}]], "Input"],

Cell[BoxData[
 RowBox[{
  RowBox[{"<<", "\"\<BarCharts`\>\""}], ";"}]], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Last time", "Section"],

Cell["\<\
Quick review of probability and statistics
Applications to random sampling\
\>", "Subsection"]
}, Closed]],

Cell[CellGroupData[{

Cell["Today", "Section"],

Cell["\<\
Review of big picture
Examples of computations on continuous probabilities
Examples of computations on discrete probabilities
Introduction to Bayes learning\
\>", "Subsection"]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[StyleBox["Recall relationship between neural networks and \
Bayesian inference",
 FontSlant->"Italic"]], "Section"],

Cell[BoxData[
 RowBox[{
  StyleBox[
   RowBox[{
    RowBox[{
    "Here", " ", "we", " ", "are", " ", "only", " ", "talking", " ", "about", 
     " ", "inference", " ", "or", " ", "estimation", " ", "based", " ", "on", 
     " ", "patterns", " ", "of", " ", "neural", " ", 
     RowBox[{"activity", "--"}], 
     RowBox[{"i", ".", "e", ".", " ", "in"}], " ", "the", " ", "language", 
     " ", "of", " ", "neural", " ", "networks"}], ",", " ", "about", " ", 
    "\"", "recall"}],
   FontFamily->"Times"], 
  StyleBox["\"",
   FontFamily->"Times"], 
  StyleBox[",",
   FontFamily->"Times"], 
  StyleBox[" ",
   FontFamily->"Times"], 
  RowBox[{
   StyleBox["rather",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["than",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox[
    RowBox[{"learning", ".", " ", "Later"}],
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["we",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["will",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["introduce",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["Bayesian",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox[
    RowBox[{
    "learning", ".", " ", "\[IndentingNewLine]", "\[IndentingNewLine]", 
     "In"}],
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["the",
    FontFamily->"Times"], 
   StyleBox["  ",
    FontFamily->"Times"], 
   StyleBox["general",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["case",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["we",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["can",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["talk",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["about",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["the",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["probability",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["over",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["all",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["possible",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["values",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["of",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["a",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["neural",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox[
    RowBox[{"network", "'"}],
    FontFamily->"Times"], 
   StyleBox["s",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   StyleBox["state",
    FontFamily->"Times"], 
   StyleBox[" ",
    FontFamily->"Times"], 
   RowBox[{
    StyleBox["vector",
     FontFamily->"Times"], 
    StyleBox[":",
     FontFamily->"Times"], " ", 
    RowBox[{"p", 
     RowBox[{"(", 
      RowBox[{
       FormBox[
        SubscriptBox["V", "1"],
        TraditionalForm], ",", " ", 
       FormBox[
        SubscriptBox["V", "2"],
        TraditionalForm], ",", "..."}], ")"}]}]}]}]}]], "Text"],

Cell["\<\
This doesn't distinguish which values are fixed and which are allowed to \
vary. If some values are fixed, then we can treat those as the input, and \
allow the network's free neurons to vary to maximize a conditional \
probability:\
\>", "Text"],

Cell["\<\
Relationship between posterior probability and the energy of the state of a \
Hopfield neural network:\
\>", "Text"],

Cell[GraphicsData["CompressedBitmap", "\<\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\
\>"], "Graphics",
 Evaluatable->False,
 AspectRatioFixed->True,
 ImageSize->{392., 56.5625}],

Cell[GraphicsData["CompressedBitmap", "\<\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\
\>"], "Graphics",
 Evaluatable->False,
 AspectRatioFixed->True,
 ImageSize->{65.6875, 24.0625},
 ImageMargins->{{72.8125, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}}],

Cell[TextData[{
 "H (the hypothesis space) corresponds to the values of state variables, i.e. \
patterns of neural activity that are changing {",
 Cell[BoxData[
  FormBox[
   SubscriptBox["V", "1"], TraditionalForm]]],
 ", ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["V", "2"], TraditionalForm]]],
 ",...}. d corresponds to \"data\" or the fixed, clamped values {",
 Cell[BoxData[
  FormBox[
   RowBox[{
    SubsuperscriptBox["V", "1", "s"], ",", " ", 
    SubsuperscriptBox["V", "2", "s"]}], TraditionalForm]]],
 "...}"
}], "Text"],

Cell["\<\
From the more abstract point of view of statistical inference, we have some \
variables that are fixed--the \"data\" d, some we let vary to maximize \
probability--the hypotheses H, and some that we may not care to estimate (n). \
Let's see how to use these distinctions.
Suppose we have p(H,d,n). Two rules of inference:\
\>", "Text"],

Cell[TextData[StyleBox["Marginalize over what you don't care about:",
 FontSlant->"Italic"]], "Text"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"p", "(", 
    RowBox[{"H", ",", "d"}], ")"}], "=", 
   RowBox[{
    UnderscriptBox["\[Sum]", "n"], 
    RowBox[{"p", "(", 
     RowBox[{"H", ",", "d", ",", "n"}], ")"}]}]}], TraditionalForm]], "Text"],

Cell[TextData[StyleBox["Condition on what you know:",
 FontSlant->"Italic"]], "Text"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"p", "(", 
    RowBox[{"H", "|", "d"}], ")"}], "=", 
   FractionBox[
    RowBox[{"p", "(", 
     RowBox[{"H", ",", "d"}], ")"}], 
    RowBox[{"p", "(", "d", ")"}]]}], TraditionalForm]], "Text"]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " functions for gaussian multivariates & exploring marginals"
}], "Section"],

Cell[CellGroupData[{

Cell["Define PDF, CDF", "Subsubsection"],

Cell[BoxData[
 RowBox[{"Needs", "[", "\"\<MultivariateStatistics`\>\"", "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{
    RowBox[{"The", " ", "add"}], "-", 
    RowBox[{"on", " ", "function"}]}], ",", " ", GridBox[{
     {
      RowBox[{
       RowBox[{"MultinormalDistribution", "[", 
        RowBox[{Cell[BoxData[
          FormBox["\[Mu]", TraditionalForm]], "InlineFormula"], ",", Cell[
         BoxData[
          FormBox["\[CapitalSigma]", TraditionalForm]], "InlineFormula"]}], 
        "]"}], "  ", "specifies", " ", "a"}], Cell[BoxData[
       FormBox[
        RowBox[{"\<\"multinormal (multivariate Gaussian) distribution with \
mean vector \"\>", Cell[BoxData[
          FormBox["\[Mu]", TraditionalForm]], 
          "InlineFormula"], "\<\" and covariance matrix \"\>", Cell[BoxData[
          FormBox["\[CapitalSigma]", TraditionalForm]], 
          "InlineFormula"], "\<\" \"\>"}], TraditionalForm]]]}
    },
    GridBoxAlignment->{
     "Columns" -> {Right, {Left}}, "ColumnsIndexed" -> {}, 
      "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}]}], 
  TraditionalForm]], "Text"],

Cell[CellGroupData[{

Cell["\<\
m1 = {1,1/2};
r=(1/2)*{{1,2/3},{2/3,4}};
ndist = MultinormalDistribution[m1, r];
pdf = PDF[ndist, {x1, x2}]\
\>", "Input",
 CellTags->"S6.7.1"],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{"3", " ", 
    SuperscriptBox["\[ExponentialE]", 
     RowBox[{
      FractionBox["1", "2"], " ", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{
         RowBox[{"-", 
          RowBox[{"(", 
           RowBox[{"x1", "-", "1"}], ")"}]}], " ", 
         RowBox[{"(", 
          RowBox[{
           FractionBox[
            RowBox[{"9", " ", 
             RowBox[{"(", 
              RowBox[{"x1", "-", "1"}], ")"}]}], "4"], "-", 
           RowBox[{
            FractionBox["3", "8"], " ", 
            RowBox[{"(", 
             RowBox[{"x2", "-", 
              FractionBox["1", "2"]}], ")"}]}]}], ")"}]}], "-", 
        RowBox[{
         RowBox[{"(", 
          RowBox[{
           RowBox[{
            FractionBox["9", "16"], " ", 
            RowBox[{"(", 
             RowBox[{"x2", "-", 
              FractionBox["1", "2"]}], ")"}]}], "-", 
           FractionBox[
            RowBox[{"3", " ", 
             RowBox[{"(", 
              RowBox[{"x1", "-", "1"}], ")"}]}], "8"]}], ")"}], " ", 
         RowBox[{"(", 
          RowBox[{"x2", "-", 
           FractionBox["1", "2"]}], ")"}]}]}], ")"}]}]]}], 
   RowBox[{"4", " ", 
    SqrtBox["2"], " ", "\[Pi]"}]], TraditionalForm]], "Output",
 CellTags->"S6.7.1"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"g1", "=", 
  RowBox[{"ContourPlot", "[", 
   RowBox[{
    RowBox[{"PDF", "[", 
     RowBox[{"ndist", ",", 
      RowBox[{"{", 
       RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"x1", ",", 
      RowBox[{"-", "3"}], ",", "3"}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{"x2", ",", 
      RowBox[{"-", "3"}], ",", "3"}], "}"}]}], "]"}]}]], "Input",
 AspectRatioFixed->True],

Cell[BoxData[
 FormBox[
  GraphicsBox[GraphicsComplexBox[CompressedData["
1:eJyFfXdczV/8/723VCIjImQWkV0iq9e7yAzZo2RvIUUhs8gWUjJCkk0oQnVK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    "], {{{}, 
      {RGBColor[0.35605061709562047`, 0.166309083711286, 0.617452531426034], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmFmUVdURhvfte/ocNaIig2IjLQpEQG2lXYoRccAERWiGxBiZBFzLgQZU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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwllMtvTlEUxc/97ul3EkkrBB0YNKUhCCVNykSItt59oYJItcSrpe+ZCqGt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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.48131985128686144`, 0.384118451133858, 0.7935335942781019], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtWGlsVlUQfd/77rsvqFQTVLQugMqiBi0IikSSuqagYGkRl7iBGwiyWBZj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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlneMVlUQxb9y33sBBEkMqICwlAUkAUGWIhGCsa0osCxdRASMdHZhARWF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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.595265401704073, 0.5780880535115065, 0.910215579851941], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1VmlslVUQfe97994PFJRSgwWk1qVQa4sFSwuSSDUhgiZFipalCEpKQ1u1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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJw1lmuQlmMYx5/33fu5n4aI3UoHpWSTIrWtyvhQ+VBtjAidpGiqKcnWdFAj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          "],
          VertexColors->None], 
         PolygonBox[{{1597, 1596, 1600, 612, 1599}, {1128, 647, 1664, 1596, 
          1597}},
          VertexColors->None]}]}, 
      {RGBColor[0.6873672751193559, 0.7260701364710036, 0.9123152188881622], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1ln1ol1UUx5/fs/vcn2GQbrY2w8CUXqh/rChixNoszUqE1F5tipnTpZtK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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlWmI1VUYxv/33nPO1RJydJqcSaORNsgvRiUxH8ytkrIPlbYyDrZMis2o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          "],
          VertexColors->None], 
         PolygonBox[{{1590, 1589, 1655, 643, 1124}, {1506, 561, 1028, 1333, 
          1334}, {1126, 644, 1657, 1589, 1590}, {1418, 499, 1190, 1325, 
          1326}, {1576, 1575, 1636, 634, 1107}, {1338, 1337, 1432, 507, 
          1431}, {1334, 1333, 1032, 776, 1821}, {1326, 1325, 1191, 500, 
          1419}, {1098, 632, 1631, 1570, 1571}, {1581, 1580, 1643, 637, 
          1114}, {1425, 504, 1427, 1337, 1338}, {1571, 1570, 1629, 631, 
          1097}, {1116, 638, 1645, 1580, 1581}, {1109, 635, 1638, 1575, 
          1576}},
          VertexColors->None]}]}, 
      {RGBColor[0.7777528002072196, 0.8520407174344723, 0.9072564470583042], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFlW1ol2UUxp//f899P/kCNliJ1D7Yu2lFZFqiyDCKWhKYVjohy9WwD7ME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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlVuIV1UUxs//zN7nOBrlwJREzoMQwTQDPSQMiDFIYuAFYdSp0QjRyUvg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          "],
          VertexColors->None], 
         PolygonBox[{{1222, 515, 1443, 1295, 1296}, {1604, 1603, 1138, 653, 
          1677}, {1433, 508, 1435, 1346, 1347}, {1662, 646, 1127, 1593, 
          1594}, {1296, 1295, 1446, 516, 1223}, {1512, 564, 1511, 1291, 
          1292}, {1292, 1291, 1217, 708, 1741}, {1347, 1346, 1738, 704, 
          1737}, {1594, 1593, 1129, 648, 1667}, {1675, 652, 1136, 1603, 
          1604}},
          VertexColors->None]}]}, 
      {RGBColor[0.8604665335866017, 0.8796235435310217, 0.8702007686268162], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFlEtIVlEQx6+f596jFlGCSeTGkEiphCQS/bQyNciCsoemuUhzq5tC0zIy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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlMtLV1EQx8/9ec69ahBUWERuBOmhtEmiReoi0kUZlBGV5cLEXeiqNBVN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          "],
          VertexColors->None], 
         PolygonBox[{{1856, 804, 1855, 1853, 1854}, {1851, 802, 1850, 1848, 
          1849}, {1911, 856, 1913, 1329, 1330}, {1849, 1848, 1108, 827, 
          1880}, {1031, 1030, 1852, 802, 1070}, {1205, 861, 1921, 1282, 
          1283}, {1349, 449, 1351, 1036, 1037}, {1227, 521, 1453, 1372, 
          1373}, {1890, 834, 1892, 1030, 1031}, {1025, 1024, 1277, 413, 
          1067}, {1854, 1853, 1115, 834, 1891}, {1283, 1282, 1510, 563, 
          1509}, {1373, 1372, 1452, 520, 1226}, {1879, 827, 1881, 1024, 
          1025}, {1037, 1036, 1857, 804, 1071}, {1330, 1329, 1917, 858, 
          1916}},
          VertexColors->None]}]}, 
      {RGBColor[0.941176, 0.906538, 0.834043], EdgeForm[None], 
       GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtlDtolFEQhe+/93+IQUmjWFgYtFADEQIWEgw2sdrCZ1aEFG40NhqxMIaN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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtkz1szlEUxu/73v+HaNI0EmIwaCwYKpGYhIiEhQFRr4HlrdakIiGaSjpI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          "],
          VertexColors->None], 
         PolygonBox[{{1605, 614, 982, 981, 1602}, {1825, 779, 986, 969, 
          1288}, {1595, 610, 979, 978, 1592}, {1480, 544, 977, 973, 1963}, {
          1602, 981, 956, 651, 1672}, {1592, 978, 953, 645, 1659}, {1111, 829,
           996, 993, 1964}, {1378, 972, 988, 784, 1828}, {1146, 280, 964, 972,
           1378}, {1962, 955, 963, 357, 1363}, {1884, 994, 945, 100, 1882}, {
          1447, 517, 976, 955, 1962}, {1288, 969, 960, 267, 1286}, {1963, 973,
           975, 511, 1438}},
          VertexColors->None]}]}}, {{}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1922, 1205, 1283, 1509, 1342, 1117, 1436, 1286, 1288, 1825, 
          1038, 1658, 1659, 1592, 1595, 1074, 1042, 1671, 1672, 1602, 1605, 
          1077, 1045, 1828, 1378, 1146, 1464, 1302, 1931, 1239, 1929, 1238, 
          1930, 1390, 1052, 1542, 1388, 1152, 1747, 1236, 1536, 1746, 1745, 
          1461, 1797, 1798, 1524, 1800, 1799, 1144, 1454, 1227, 1373, 1226, 
          1363, 1962, 1447, 1224, 1361, 1360, 1438, 1963, 1480, 1481, 1290, 
          1267, 1350, 1349, 1037, 1071, 1856, 1854, 1891, 1890, 1031, 1070, 
          1851, 1849, 1880, 1879, 1025, 1067, 1193, 1908, 1195, 1909, 1099, 
          1414, 1187, 1321, 1320, 1026, 1322, 1323, 1416, 1415, 1100, 1914, 
          1915, 1910, 1912, 1911, 1330, 1916, 1882, 1884, 1964, 1111, 1922}],
         "0.12`"],
        Annotation[#, 0.12, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1722, 1718, 1720, 1719, 1319, 1023, 1501, 1493, 1194, 1729, 
          1276, 1277, 1024, 1881, 1108, 1848, 1850, 1852, 1030, 1892, 1115, 
          1853, 1855, 1857, 1036, 1351, 1125, 1482, 1289, 1741, 1292, 1512, 
          1041, 1355, 1356, 1223, 1296, 1222, 1444, 1362, 1451, 1452, 1372, 
          1453, 1143, 1459, 1145, 1802, 1803, 1525, 1526, 1527, 1462, 1834, 
          1833, 1537, 1246, 1762, 1153, 1471, 1307, 1308, 1248, 1764, 1766, 
          1765, 1154, 1748, 1749, 1531, 1830, 1049, 1079, 1303, 1237, 1377, 
          1528, 1529, 1379, 1744, 1676, 1677, 1604, 1675, 1673, 1743, 1666, 
          1667, 1594, 1662, 1660, 1737, 1347, 1433, 1434, 1287, 1209, 1341, 
          1340, 1033, 1510, 1282, 1921, 1280, 1428, 1110, 1918, 1919, 1883, 
          1200, 1917, 1329, 1913, 1331, 1197, 1327, 1502, 1503, 1324, 1500, 
          1499, 1498, 1189, 1728, 1092, 1316, 1186, 1275, 1274, 1721, 1722}],
         "0.1`"],
        Annotation[#, 0.1, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1632, 1098, 1571, 1097, 1716, 1717, 1494, 1814, 1815, 1065, 
          1273, 1185, 1485, 1812, 1813, 1621, 1622, 1565, 1624, 1845, 1623, 
          1020, 1313, 1314, 1411, 1410, 1091, 1725, 1726, 1497, 1724, 1723, 
          1317, 1417, 1418, 1326, 1419, 1101, 1421, 1103, 1423, 1424, 1279, 
          1505, 1506, 1334, 1821, 1335, 1203, 1281, 1426, 1425, 1338, 1431, 
          1343, 1345, 1210, 1348, 1435, 1346, 1738, 1211, 1661, 1127, 1593, 
          1129, 1668, 1218, 1674, 1136, 1603, 1138, 1678, 1229, 1380, 1147, 
          1465, 1466, 1384, 1383, 1468, 1391, 1544, 1543, 1530, 1250, 1309, 
          1081, 1836, 1835, 1546, 1251, 1399, 1398, 1553, 1551, 1552, 1396, 
          1397, 1249, 1547, 1768, 1767, 1389, 1758, 1759, 1538, 1761, 1760, 
          1234, 1804, 1269, 1534, 1268, 1801, 1375, 1376, 1232, 1374, 1521, 
          1522, 1369, 1044, 1076, 1443, 1295, 1446, 1445, 1134, 1357, 1511, 
          1291, 1217, 1742, 1126, 1590, 1124, 1654, 1208, 1646, 1116, 1581, 
          1114, 1642, 1202, 1639, 1109, 1576, 1107, 1635, 1196, 1632}],
         "0.08`"],
        Annotation[#, 0.08, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1087, 1564, 1705, 1706, 1179, 1408, 1174, 1709, 1182, 1488, 
          1489, 1490, 1315, 1817, 1816, 1496, 1188, 1727, 1094, 1318, 1190, 
          1325, 1191, 1420, 1102, 1422, 1198, 1278, 1068, 1028, 1333, 1032, 
          1822, 1508, 1204, 1339, 1427, 1337, 1432, 1206, 1344, 1118, 1437, 
          1120, 1739, 1212, 1587, 1826, 1665, 1128, 1597, 1599, 1601, 1827, 
          1365, 1137, 1455, 1298, 1299, 1520, 1382, 1148, 1467, 1304, 1306, 
          1831, 1681, 1241, 1750, 1155, 1472, 1156, 1392, 1474, 1473, 1400, 
          1555, 1554, 1545, 1254, 1940, 1776, 1611, 1685, 1684, 1775, 1083, 
          1863, 1774, 1609, 1161, 1771, 1253, 1548, 1841, 1842, 1394, 1541, 
          1540, 1539, 1247, 1763, 1235, 1756, 1757, 1535, 1832, 1051, 1386, 
          1048, 1078, 1300, 1231, 1458, 1141, 1370, 1517, 1297, 1225, 1450, 
          1135, 1440, 1133, 1353, 1216, 1740, 1656, 1657, 1589, 1655, 1653, 
          1736, 1644, 1645, 1580, 1643, 1641, 1734, 1637, 1638, 1575, 1636, 
          1634, 1730, 1630, 1631, 1570, 1629, 1628, 1714, 1715, 1312, 1090, 
          1413, 1089, 1703, 1704, 1486, 1809, 1810, 1063, 1701, 1178, 1620, 
          1087}],
         "0.06`"],
        Annotation[#, 0.06, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1616, 1560, 1699, 1960, 1062, 1700, 1406, 1950, 1951, 1788, 
          1263, 1789, 1173, 1708, 1181, 1487, 1180, 1707, 1409, 1710, 1183, 
          1495, 1712, 1711, 1093, 1566, 1568, 1066, 1021, 1328, 1027, 1819, 
          1504, 1199, 1731, 1105, 1332, 1201, 1507, 1733, 1732, 1112, 1479, 
          1284, 1285, 1823, 1647, 1119, 1584, 1586, 1072, 1039, 1663, 1664, 
          1596, 1600, 1075, 1043, 1364, 1046, 1829, 1519, 1228, 1367, 1366, 
          1456, 1385, 1533, 1532, 1381, 1240, 1305, 1080, 1050, 1679, 1680, 
          1606, 1608, 1082, 1840, 1839, 1933, 1769, 1838, 1955, 1837, 1162, 
          1476, 1163, 1401, 1478, 1477, 1403, 1056, 1844, 1691, 1168, 1612, 
          1167, 1946, 1947, 1944, 1255, 1943, 1256, 1945, 1166, 1610, 1690, 
          1689, 1054, 1402, 1053, 1550, 1549, 1773, 1772, 1160, 1475, 1159, 
          1393, 1470, 1469, 1463, 1753, 1754, 1752, 1244, 1755, 1150, 1387, 
          1523, 1301, 1233, 1460, 1142, 1457, 1140, 1368, 1449, 1448, 1358, 
          1359, 1221, 1354, 1513, 1514, 1352, 1040, 1073, 1591, 1588, 1652, 
          1651, 1035, 1824, 1583, 1582, 1579, 1113, 1640, 1820, 1578, 1577, 
          1574, 1106, 1633, 1818, 1573, 1572, 1569, 1096, 1627, 1811, 1019, 
          1064, 1272, 1184, 1491, 1492, 1018, 1311, 1702, 1618, 1619, 1562, 
          1086, 1697, 1698, 1484, 1808, 1017, 1061, 1696, 1615, 1616}],
         "0.04`"],
        Annotation[#, 0.04, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1055, 1843, 1556, 1942, 1941, 1165, 1902, 1904, 1903, 1939, 
          1395, 1935, 1936, 1934, 1938, 1937, 1245, 1271, 1958, 1270, 1900, 
          1151, 1897, 1899, 1898, 1928, 1371, 1926, 1927, 1925, 1230, 1442, 
          1441, 1516, 1515, 1294, 1293, 1439, 1132, 1215, 1957, 1214, 1895, 
          1123, 1893, 1122, 1894, 1207, 1923, 1888, 1889, 1885, 1887, 1886, 
          1920, 1877, 1878, 1874, 1876, 1875, 1907, 1871, 1872, 1868, 1870, 
          1869, 1906, 1866, 1867, 1864, 1088, 1865, 1176, 1956, 1177, 1563, 
          1561, 1085, 1617, 1807, 1016, 1060, 1905, 1171, 1694, 1172, 1695, 
          1084, 1693, 1169, 1483, 1805, 1806, 1058, 1692, 1613, 1614, 1559, 
          1781, 1959, 1059, 1782, 1405, 1948, 1949, 1783, 1260, 1784, 1170, 
          1787, 1262, 1785, 1261, 1786, 1407, 1952, 1264, 1790, 1265, 1791, 
          1175, 1795, 1796, 1792, 1794, 1793, 1412, 1713, 1625, 1626, 1567, 
          1095, 1192, 1953, 1022, 1873, 1104, 1846, 1847, 1069, 1029, 1336, 
          1034, 1954, 1266, 1430, 1429, 1735, 1648, 1649, 1585, 1121, 1650, 
          1213, 1669, 1130, 1598, 1131, 1670, 1219, 1518, 1220, 1924, 1139, 
          1858, 1859, 1860, 1047, 1896, 1149, 1861, 1862, 1932, 1243, 1751, 
          1242, 1682, 1157, 1607, 1158, 1683, 1252, 1770, 1164, 1901, 1686, 
          1688, 1961, 1687, 1777, 1404, 1057, 1558, 1557, 1257, 1778, 1310, 
          1780, 1259, 1779, 1258}],
         "0.02`"],
        Annotation[#, 0.02, "Tooltip"]& ]}, {}, {}, {}}}],
   AspectRatio->1,
   Frame->True,
   ImageSize->Small,
   PlotRange->{{-3, 3}, {-3, 3}},
   PlotRangeClipping->True,
   PlotRangePadding->{
     Scaled[0.02], 
     Scaled[0.02]}], TraditionalForm]], "Output",
 ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>"]]
}, Closed]],

Cell[TextData[{
 "What is the probability of the distribution in the region ",
 Cell[BoxData[
  FormBox[
   RowBox[{
    SubscriptBox["x", "1"], "<", 
    RowBox[{".5", "\[Intersection]", 
     SubscriptBox["x", "2"]}], "<", "2"}], TraditionalForm]], 
  "InlineFormula"],
 "?"
}], "MathCaption",
 CellTags->{"S6.7.1", "1.11"}],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"grp", "=", 
    RowBox[{"RegionPlot", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"x1", "<", ".5"}], " ", "&&", " ", 
       RowBox[{"x2", "<", "2"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"x1", ",", 
        RowBox[{"-", "4"}], ",", "4"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"x2", ",", 
        RowBox[{"-", "4"}], ",", "4"}], "}"}], ",", 
      RowBox[{"PlotStyle", "\[Rule]", 
       RowBox[{"Directive", "[", 
        RowBox[{
         RowBox[{"Opacity", "[", ".25", "]"}], ",", 
         RowBox[{"EdgeForm", "[", "]"}], ",", 
         RowBox[{"FaceForm", "[", "Gray", "]"}]}], "]"}]}]}], "]"}]}], ";"}], 
  "\[IndentingNewLine]"}], "\[IndentingNewLine]", 
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"{", " ", 
    RowBox[{"g1", ",", "grp"}], "}"}], ",", 
   RowBox[{"ImageSize", "\[Rule]", "Small"}]}], "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJyFfXdczV/8/723VCIjImQWkV0iq9e7yAzZo2RvIUUhs8gWUjJCkk0oQnVK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     "], {{{}, 
       {RGBColor[0.35605061709562047`, 0.166309083711286, 0.617452531426034], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmFmUVdURhvfte/ocNaIig2IjLQpEQG2lXYoRccAERWiGxBiZBFzLgQZU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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwllMtvTlEUxc/97ul3EkkrBB0YNKUhCCVNykSItt59oYJItcSrpe+ZCqGt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           "],
           VertexColors->None]}]}, 
       {RGBColor[0.48131985128686144`, 0.384118451133858, 0.7935335942781019],
         EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtWGlsVlUQfd/77rsvqFQTVLQugMqiBi0IikSSuqagYGkRl7iBGwiyWBZj
JBVsISJYBAsFuwFKUHFLTNS4JQoSjUqMGBfUGIkiUNS64lLxnJ7z43bmmzfv
3rmznJnXfpNnVs1IkyRZWEiSIugz+FOH9RWE/WKSHIKsIiTJBeBvgawcdAjW
DeBng/bBugr8daBllg8FPTdPkoA9K/HuZfh9B+QVoL/g9wrIN+D5x1mSDIR8
J+h/OLMC8vWQn+w9+4L2xLONkJeABqx28BnoIOyzDvxB0KOhNxb65+DdStDF
2Ot32D20IH4Q+GOgMw7PjgX9E2sf+Bboz8Zeu6D3Bug1WO+BfxJ0KtZO8F2g
TTjjXPCjoT8nSIe6vcFPAX8J5H+AbwS/KZf/6u3DBL9/BQ2gp9mf/WzLIuhv
T2R7HfiPwffBvpeAboLO+Fw+oW9mgO8PfjnOmYffc7AG4PetoO+DTuPKRH8F
vQLvDwTfAP0FmXzwB2STsEZDXor9jrH+R9CpxD61BZ3xQFG2nYr1Yqb950Fn
dS5b6e9S6DTa7hF49iT2Lw2K1SSsNfg9JhO/F7Q/3h0B/Z/A3wa+BPJboP8G
1g3gn4DsXzybBf420E7ojuTe2OcLnLcDvz8DbXd+rsLvS/FOKXQWBL3Ddz8D
Xw35+dCZAHo4fh8Gvi/4s7GOA78cdElQ3Bn/vuBPhHwY5GfijB6QXwvZ6eAz
8AOiFvkqyFuLqhPGtw/WawXlNM9nztCmsdhrGHTGgQ7GO33Bnwf+R/A/4p1/
sN/N+H0h5A+A3ol1OfhpoKugUwV+NvhdzDHwy8D/zFiCbwffinUf+DbQHyC/
B/xa8PvB78H+v0X5if5iPE+BrAx2/QZ/PgK9WZCtzFUfrBPWy3zwLVhzua/f
pZ9511bz8/18Z6Iz5zkPuZiTzOE6n8n8WeR8Yp7XO3aUb2CNgX7ofH7Ye5LO
N0/bHnX9UqfBeX8Rcxfv1uDd3T5jUEE5PNt53OJ9WAPNvhf5r1Pd5eVEdrXZ
tt5R2DEOdK3r/fFcd+X7n0BniffiPiuMacS2BvuBNjfnspc1l+D5W66H78Hf
631uhE45+Jty2dVsn/YoCt9qoHM49N8tCF9oS3UqXPjddtJeAncV1vBE+VVZ
EObenKqmSnzuEvunHXxbqni/wnxIpc8aZl2z9rekwtW/6JNUmPYi+NOCzjmI
c84AfzX4LvD9gvx3X6Y4ENd4FjFyqnEgNQYSC1mfrJPjM92pyvdqgmyI83N6
rnOJqftsL33K/G2yzkuZ7Po8qtaJaazPvcRI40bPovxPX/wbJf8pyN/0CWPB
GtrjdxYUdGfuS8xYBP6agu7GO3ZijyuNaduC8oOxYX94LFe+NeXqaZTzXsQV
5ijPI5bT5/Qd8Y52vYl3W1Ldi/cblimOL3DPVD6h3+nPI1L5lL4cRbnrlu8N
BD0h1/7fYI/rce5IrPF4diJkX/l+R0LnLvwez/y1DcTgjlQ+GMz88/4ViXJj
gHtTu3GO+VmNvYdgleN3a6pcpK1/F3Vv9rEJWMvBHxu0X4dt5jl7fFZXVMwa
g+73vvOG/trtvN1l2xmXkY4x47ve/XFzENbSFvbXp6POWpgJC74tKLc/SJV7
xOcdzu0TCupZrFXGdZNz709iQKpnzGHGm8/Z01gf5a6RKdE+di4w9pTvy5R7
FZ4vGAPeYXUmH3IOaorC1NWgWzPh4kOQv5OqV9J3V2fCgYmgmzPZMi4TzjGm
tcYI6hATX3ddsD7mpvIP863MPOudmEpsJY5wMYeYP2NS+ap7z1z7csbhrEab
DwvCLd6XPXJHpng0B/W9KfbtulT9hnU6NZePa6EzAe8Od60uDbov7804n+x5
iDnGnsrz3skk35ZppuGswpmlu086dsx9nkX7t9tv9ENdpvwtsCYy+aCIM2fm
6hOzQO/3TMvZljn/lPOeddds+ye5R7NXEwvI8+7TU9Utz2+L0n80CKva7FPO
cKyFqqh8bzeWrYuandZG9fnHjOF8RrxjXbQE+ZY+3pxrzwGQXezexx7IPsZ+
xhxivo90fR2FZ13MQzwv5pKt8VzwvfGZtfBhqrmN9cj6Z039DZsOgD8A/V54
9xBnFeMl3yVmjjIGVXimJDafGhSHfxyLklx8z1zY1mV8YO1wT9YP5xrawZxp
dy9mTybm0D/EnSGOR3dfsL/p2+ej4vUc6DasV8FvBV2aqn5YOxNzYeBVoC9E
41mmWAw1/rBet7hm6zzXrTJeziyqZitz5e2VuXCZ+Lw7Ux5TTsy5zLMoZ9JZ
9i99Wx3V40qjanS785NzOeeIdawt85zZm6P8dwpkk4N6OOflh4P8McZzx4pU
MwxnyQ7nDOuS92UfvDwXPo8BXcg5BOv+RLMqfcU7lAfduwI626NwvTFTbPgu
n7UZuz/NNDP2No4dhP5+no3nh/hdB74T/IOpaopn8VuFuNuI/c8JikmvoJjO
cM53z+nGBGJPnbGa3381zrFrHTvG8KWgOrydfrbNtL0hlV/oc2LATUXjQC5+
a1DPY+8bRRwAX0u9oPjcZXuWQH8y8dHz+K3GGvrvQd+L37gLzXN+Zb+qzxWT
6Z4t747SmRTkj6XOycXO0WmQz4maMWqiarHB9u+N+rY4K1c/pD08g/emPnOC
/a7aPa8syJYjjc/XG6Ppw7meN7jfcbaNfi51nbX6O4byj1L1ReIqvw8Zk/70
WS6cWRZ0v6+tz1nvO+MJv9eYA8ONQ53m+b3SaWzhvNjdi5BLv0S9u9ffzTyX
favM32j8Vhucq0ewV5T6G7OBPTPK14s9H+53/o917bCGzvJ33Jn+nwRjXWMf
0Ve1UXVzwLZxZua8yHmItf9Nqj7Yy3nLWYY9nn49g+fnwoeGXHMh58M1zinO
8TzrQNQ+HaCPBPXFlqheyfme/fJO10x91AzE2WZLlK/p531Rcwzx/VnwJwX1
6RLwXwbFbBf/JxN0h/M4o0ZhZSXo+qj5bAPrNdNM0wH6XNA3wNuQb4zqL+wz
9UF5uBKy/wHJqzPA
           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtlneMVlUQxb9y33sBBEkMqICwlAUkAUGWIhGCsa0osCxdRASMdHZhARWF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           "],
           VertexColors->None]}]}, 
       {RGBColor[0.595265401704073, 0.5780880535115065, 0.910215579851941], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1VmlslVUQfe97994PFJRSgwWk1qVQa4sFSwuSSDUhgiZFipalCEpKQ1u1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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJw1lmuQlmMYx5/33fu5n4aI3UoHpWSTIrWtyvhQ+VBtjAidpGiqKcnWdFAj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           "],
           VertexColors->None], 
          PolygonBox[{{1597, 1596, 1600, 612, 1599}, {1128, 647, 1664, 1596, 
           1597}},
           VertexColors->None]}]}, 
       {RGBColor[0.6873672751193559, 0.7260701364710036, 0.9123152188881622], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1ln1ol1UUx5/fs/vcn2GQbrY2w8CUXqh/rChixNoszUqE1F5tipnTpZtK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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtlWmI1VUYxv/33nPO1RJydJqcSaORNsgvRiUxH8ytkrIPlbYyDrZMis2o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           "],
           VertexColors->None], 
          PolygonBox[{{1590, 1589, 1655, 643, 1124}, {1506, 561, 1028, 1333, 
           1334}, {1126, 644, 1657, 1589, 1590}, {1418, 499, 1190, 1325, 
           1326}, {1576, 1575, 1636, 634, 1107}, {1338, 1337, 1432, 507, 
           1431}, {1334, 1333, 1032, 776, 1821}, {1326, 1325, 1191, 500, 
           1419}, {1098, 632, 1631, 1570, 1571}, {1581, 1580, 1643, 637, 
           1114}, {1425, 504, 1427, 1337, 1338}, {1571, 1570, 1629, 631, 
           1097}, {1116, 638, 1645, 1580, 1581}, {1109, 635, 1638, 1575, 
           1576}},
           VertexColors->None]}]}, 
       {RGBColor[0.7777528002072196, 0.8520407174344723, 0.9072564470583042], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFlW1ol2UUxp//f899P/kCNliJ1D7Yu2lFZFqiyDCKWhKYVjohy9WwD7ME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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtlVuIV1UUxs//zN7nOBrlwJREzoMQwTQDPSQMiDFIYuAFYdSp0QjRyUvg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           "],
           VertexColors->None], 
          PolygonBox[{{1222, 515, 1443, 1295, 1296}, {1604, 1603, 1138, 653, 
           1677}, {1433, 508, 1435, 1346, 1347}, {1662, 646, 1127, 1593, 
           1594}, {1296, 1295, 1446, 516, 1223}, {1512, 564, 1511, 1291, 
           1292}, {1292, 1291, 1217, 708, 1741}, {1347, 1346, 1738, 704, 
           1737}, {1594, 1593, 1129, 648, 1667}, {1675, 652, 1136, 1603, 
           1604}},
           VertexColors->None]}]}, 
       {RGBColor[0.8604665335866017, 0.8796235435310217, 0.8702007686268162], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFlEtIVlEQx6+f596jFlGCSeTGkEiphCQS/bQyNciCsoemuUhzq5tC0zIy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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtlMtLV1EQx8/9ec69ahBUWERuBOmhtEmiReoi0kUZlBGV5cLEXeiqNBVN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           "],
           VertexColors->None], 
          PolygonBox[{{1856, 804, 1855, 1853, 1854}, {1851, 802, 1850, 1848, 
           1849}, {1911, 856, 1913, 1329, 1330}, {1849, 1848, 1108, 827, 
           1880}, {1031, 1030, 1852, 802, 1070}, {1205, 861, 1921, 1282, 
           1283}, {1349, 449, 1351, 1036, 1037}, {1227, 521, 1453, 1372, 
           1373}, {1890, 834, 1892, 1030, 1031}, {1025, 1024, 1277, 413, 
           1067}, {1854, 1853, 1115, 834, 1891}, {1283, 1282, 1510, 563, 
           1509}, {1373, 1372, 1452, 520, 1226}, {1879, 827, 1881, 1024, 
           1025}, {1037, 1036, 1857, 804, 1071}, {1330, 1329, 1917, 858, 
           1916}},
           VertexColors->None]}]}, 
       {RGBColor[0.941176, 0.906538, 0.834043], EdgeForm[None], 
        GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtlDtolFEQhe+/93+IQUmjWFgYtFADEQIWEgw2sdrCZ1aEFG40NhqxMIaN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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtkz1szlEUxu/73v+HaNI0EmIwaCwYKpGYhIiEhQFRr4HlrdakIiGaSjpI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           "],
           VertexColors->None], 
          PolygonBox[{{1605, 614, 982, 981, 1602}, {1825, 779, 986, 969, 
           1288}, {1595, 610, 979, 978, 1592}, {1480, 544, 977, 973, 1963}, {
           1602, 981, 956, 651, 1672}, {1592, 978, 953, 645, 1659}, {1111, 
           829, 996, 993, 1964}, {1378, 972, 988, 784, 1828}, {1146, 280, 964,
            972, 1378}, {1962, 955, 963, 357, 1363}, {1884, 994, 945, 100, 
           1882}, {1447, 517, 976, 955, 1962}, {1288, 969, 960, 267, 1286}, {
           1963, 973, 975, 511, 1438}},
           VertexColors->None]}]}}, {{}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{1922, 1205, 1283, 1509, 1342, 1117, 1436, 1286, 1288, 1825,
            1038, 1658, 1659, 1592, 1595, 1074, 1042, 1671, 1672, 1602, 1605, 
           1077, 1045, 1828, 1378, 1146, 1464, 1302, 1931, 1239, 1929, 1238, 
           1930, 1390, 1052, 1542, 1388, 1152, 1747, 1236, 1536, 1746, 1745, 
           1461, 1797, 1798, 1524, 1800, 1799, 1144, 1454, 1227, 1373, 1226, 
           1363, 1962, 1447, 1224, 1361, 1360, 1438, 1963, 1480, 1481, 1290, 
           1267, 1350, 1349, 1037, 1071, 1856, 1854, 1891, 1890, 1031, 1070, 
           1851, 1849, 1880, 1879, 1025, 1067, 1193, 1908, 1195, 1909, 1099, 
           1414, 1187, 1321, 1320, 1026, 1322, 1323, 1416, 1415, 1100, 1914, 
           1915, 1910, 1912, 1911, 1330, 1916, 1882, 1884, 1964, 1111, 1922}],
          
          "0.12`"],
         Annotation[#, 0.12, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{1722, 1718, 1720, 1719, 1319, 1023, 1501, 1493, 1194, 1729,
            1276, 1277, 1024, 1881, 1108, 1848, 1850, 1852, 1030, 1892, 1115, 
           1853, 1855, 1857, 1036, 1351, 1125, 1482, 1289, 1741, 1292, 1512, 
           1041, 1355, 1356, 1223, 1296, 1222, 1444, 1362, 1451, 1452, 1372, 
           1453, 1143, 1459, 1145, 1802, 1803, 1525, 1526, 1527, 1462, 1834, 
           1833, 1537, 1246, 1762, 1153, 1471, 1307, 1308, 1248, 1764, 1766, 
           1765, 1154, 1748, 1749, 1531, 1830, 1049, 1079, 1303, 1237, 1377, 
           1528, 1529, 1379, 1744, 1676, 1677, 1604, 1675, 1673, 1743, 1666, 
           1667, 1594, 1662, 1660, 1737, 1347, 1433, 1434, 1287, 1209, 1341, 
           1340, 1033, 1510, 1282, 1921, 1280, 1428, 1110, 1918, 1919, 1883, 
           1200, 1917, 1329, 1913, 1331, 1197, 1327, 1502, 1503, 1324, 1500, 
           1499, 1498, 1189, 1728, 1092, 1316, 1186, 1275, 1274, 1721, 1722}],
          
          "0.1`"],
         Annotation[#, 0.1, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{1632, 1098, 1571, 1097, 1716, 1717, 1494, 1814, 1815, 1065,
            1273, 1185, 1485, 1812, 1813, 1621, 1622, 1565, 1624, 1845, 1623, 
           1020, 1313, 1314, 1411, 1410, 1091, 1725, 1726, 1497, 1724, 1723, 
           1317, 1417, 1418, 1326, 1419, 1101, 1421, 1103, 1423, 1424, 1279, 
           1505, 1506, 1334, 1821, 1335, 1203, 1281, 1426, 1425, 1338, 1431, 
           1343, 1345, 1210, 1348, 1435, 1346, 1738, 1211, 1661, 1127, 1593, 
           1129, 1668, 1218, 1674, 1136, 1603, 1138, 1678, 1229, 1380, 1147, 
           1465, 1466, 1384, 1383, 1468, 1391, 1544, 1543, 1530, 1250, 1309, 
           1081, 1836, 1835, 1546, 1251, 1399, 1398, 1553, 1551, 1552, 1396, 
           1397, 1249, 1547, 1768, 1767, 1389, 1758, 1759, 1538, 1761, 1760, 
           1234, 1804, 1269, 1534, 1268, 1801, 1375, 1376, 1232, 1374, 1521, 
           1522, 1369, 1044, 1076, 1443, 1295, 1446, 1445, 1134, 1357, 1511, 
           1291, 1217, 1742, 1126, 1590, 1124, 1654, 1208, 1646, 1116, 1581, 
           1114, 1642, 1202, 1639, 1109, 1576, 1107, 1635, 1196, 1632}],
          "0.08`"],
         Annotation[#, 0.08, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{1087, 1564, 1705, 1706, 1179, 1408, 1174, 1709, 1182, 1488,
            1489, 1490, 1315, 1817, 1816, 1496, 1188, 1727, 1094, 1318, 1190, 
           1325, 1191, 1420, 1102, 1422, 1198, 1278, 1068, 1028, 1333, 1032, 
           1822, 1508, 1204, 1339, 1427, 1337, 1432, 1206, 1344, 1118, 1437, 
           1120, 1739, 1212, 1587, 1826, 1665, 1128, 1597, 1599, 1601, 1827, 
           1365, 1137, 1455, 1298, 1299, 1520, 1382, 1148, 1467, 1304, 1306, 
           1831, 1681, 1241, 1750, 1155, 1472, 1156, 1392, 1474, 1473, 1400, 
           1555, 1554, 1545, 1254, 1940, 1776, 1611, 1685, 1684, 1775, 1083, 
           1863, 1774, 1609, 1161, 1771, 1253, 1548, 1841, 1842, 1394, 1541, 
           1540, 1539, 1247, 1763, 1235, 1756, 1757, 1535, 1832, 1051, 1386, 
           1048, 1078, 1300, 1231, 1458, 1141, 1370, 1517, 1297, 1225, 1450, 
           1135, 1440, 1133, 1353, 1216, 1740, 1656, 1657, 1589, 1655, 1653, 
           1736, 1644, 1645, 1580, 1643, 1641, 1734, 1637, 1638, 1575, 1636, 
           1634, 1730, 1630, 1631, 1570, 1629, 1628, 1714, 1715, 1312, 1090, 
           1413, 1089, 1703, 1704, 1486, 1809, 1810, 1063, 1701, 1178, 1620, 
           1087}],
          "0.06`"],
         Annotation[#, 0.06, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{1616, 1560, 1699, 1960, 1062, 1700, 1406, 1950, 1951, 1788,
            1263, 1789, 1173, 1708, 1181, 1487, 1180, 1707, 1409, 1710, 1183, 
           1495, 1712, 1711, 1093, 1566, 1568, 1066, 1021, 1328, 1027, 1819, 
           1504, 1199, 1731, 1105, 1332, 1201, 1507, 1733, 1732, 1112, 1479, 
           1284, 1285, 1823, 1647, 1119, 1584, 1586, 1072, 1039, 1663, 1664, 
           1596, 1600, 1075, 1043, 1364, 1046, 1829, 1519, 1228, 1367, 1366, 
           1456, 1385, 1533, 1532, 1381, 1240, 1305, 1080, 1050, 1679, 1680, 
           1606, 1608, 1082, 1840, 1839, 1933, 1769, 1838, 1955, 1837, 1162, 
           1476, 1163, 1401, 1478, 1477, 1403, 1056, 1844, 1691, 1168, 1612, 
           1167, 1946, 1947, 1944, 1255, 1943, 1256, 1945, 1166, 1610, 1690, 
           1689, 1054, 1402, 1053, 1550, 1549, 1773, 1772, 1160, 1475, 1159, 
           1393, 1470, 1469, 1463, 1753, 1754, 1752, 1244, 1755, 1150, 1387, 
           1523, 1301, 1233, 1460, 1142, 1457, 1140, 1368, 1449, 1448, 1358, 
           1359, 1221, 1354, 1513, 1514, 1352, 1040, 1073, 1591, 1588, 1652, 
           1651, 1035, 1824, 1583, 1582, 1579, 1113, 1640, 1820, 1578, 1577, 
           1574, 1106, 1633, 1818, 1573, 1572, 1569, 1096, 1627, 1811, 1019, 
           1064, 1272, 1184, 1491, 1492, 1018, 1311, 1702, 1618, 1619, 1562, 
           1086, 1697, 1698, 1484, 1808, 1017, 1061, 1696, 1615, 1616}],
          "0.04`"],
         Annotation[#, 0.04, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{1055, 1843, 1556, 1942, 1941, 1165, 1902, 1904, 1903, 1939,
            1395, 1935, 1936, 1934, 1938, 1937, 1245, 1271, 1958, 1270, 1900, 
           1151, 1897, 1899, 1898, 1928, 1371, 1926, 1927, 1925, 1230, 1442, 
           1441, 1516, 1515, 1294, 1293, 1439, 1132, 1215, 1957, 1214, 1895, 
           1123, 1893, 1122, 1894, 1207, 1923, 1888, 1889, 1885, 1887, 1886, 
           1920, 1877, 1878, 1874, 1876, 1875, 1907, 1871, 1872, 1868, 1870, 
           1869, 1906, 1866, 1867, 1864, 1088, 1865, 1176, 1956, 1177, 1563, 
           1561, 1085, 1617, 1807, 1016, 1060, 1905, 1171, 1694, 1172, 1695, 
           1084, 1693, 1169, 1483, 1805, 1806, 1058, 1692, 1613, 1614, 1559, 
           1781, 1959, 1059, 1782, 1405, 1948, 1949, 1783, 1260, 1784, 1170, 
           1787, 1262, 1785, 1261, 1786, 1407, 1952, 1264, 1790, 1265, 1791, 
           1175, 1795, 1796, 1792, 1794, 1793, 1412, 1713, 1625, 1626, 1567, 
           1095, 1192, 1953, 1022, 1873, 1104, 1846, 1847, 1069, 1029, 1336, 
           1034, 1954, 1266, 1430, 1429, 1735, 1648, 1649, 1585, 1121, 1650, 
           1213, 1669, 1130, 1598, 1131, 1670, 1219, 1518, 1220, 1924, 1139, 
           1858, 1859, 1860, 1047, 1896, 1149, 1861, 1862, 1932, 1243, 1751, 
           1242, 1682, 1157, 1607, 1158, 1683, 1252, 1770, 1164, 1901, 1686, 
           1688, 1961, 1687, 1777, 1404, 1057, 1558, 1557, 1257, 1778, 1310, 
           1780, 1259, 1779, 1258}],
          "0.02`"],
         Annotation[#, 0.02, "Tooltip"]& ]}, {}, {}, {}}}], 
    GraphicsComplexBox[CompressedData["
1:eJx1ln1M1HUcxw9BQuCEmfYApj1YnqGTdOfTysOdwxpOT5fNh0QtMfM053Sj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     "], {{
       {Opacity[0.25], EdgeForm[None], FaceForm[GrayLevel[0.5]], 
        GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNlmWYllUQhs9RkFCaBamFpaSku2uJlSWlWWJRJJeQWEEaBSRUQkKkFBRU
QFAMbAGxcw0UFVTsbn45zzX3d338mGvOmXrmnDnvzJuWPbV/ziUhhBMxhEuN
FzGyZZCsWHBZPqNSRgWMChoVRS9dSaPL0BXHNr9RCbh0pfErZFSBuLItY1TY
6HKjFPTaX2l0BbmUB08+5ZBpX9+oqlE1o4rEE2YqOSnfNOIKpzIy5VIFLl0N
4pYnVlnwKxFPsWqiV+718FfsOuApdi3ykF9tuHRX4SddXWzlv8VojdFaowZg
VzdqRE7CbIK/YrfAX/iN0UvXnDyka4qt8JvBpWtldDV31oG4sm0DdkOj1ui1
b4tMubQHTz7tkGnfkRjC6QRXLp3hyjcdbMXuBhdmd7hwesAVuydcmF2NWuKf
gUy59wJbmH2MumCbiUz4fZEJ/xr85NMPWTfuWnVW7fsjU14D4MrrWrjyGkws
4V9vNNRomNEg8pNuODkJfwi2mdj1RjcCvXLJxl+xR4M30GgkOSmXUXDpsvCT
bgy28h9LDGGOA0+5zDKaYDTRaDzYWciywJkIF84kuHKZDBfODcST/xRkyn2a
0XXcxwywZTsdmfY3IhN+Dn7KdyYy5TKbPITfkNroG5iDTLncbrTUaJnRQuIq
xiK4zjrPaCp53QxXLjeRt/AXkKv8F+Mn/FuN5hJD99qTui5HpnhLsJ1DHrnE
XopM+/lgCmMFfpKthAt/DdiKt4rz6Byr4dLdaXQLea3FVjjrkCmvDWAo9mb8
Ffs2cBT3LvbC2Yit9puQyWc98VZwhsncVy7nFO4h1jrvKfK4x+gd8thhdJY8
7jV6g7jbjc6At9sojzx2Gn1MfruMvg7eE+8Lyfmhnq5ZpJ6vefCd0VajPcHn
T1F0+bBNzKti6O4P3qfV/zWHShJXs0j9X/NgL3rNIM2fFHSFkacQS/2/HHmo
b2hOFCBGSTArYJcCbhX06vmpYGsuVMQnlX1xZBVCcj7J53jwd7ANPM2IquSh
76M6PpoDNfHRHKhDHjWxS0VWG5xa+CRmVS0w6+EvP/X4RuBpLmh+PIBNGrk0
QFcD28S32xCdMJoQSxhN2SfmU1PwNCs0M/axrgeeen9LMFqzV9w27Ovg1wzM
tuiEp3nRDoyOITn3OqBLzK2O5N4O/8QMk64Id61670fegpw0X7qQUzr7xDy7
eH4MCMmZ1w18zYqMkJx5Pcgpg71y6oWdfNTv+4Gh2aE58mDw2dKZPCTrTd6Z
+Kfj1zckZ1t/MAaSn+aG+nE2eNoPwn8I+4dYZ4Kh+TIUzOHsM/AbCN4IdMLT
fMkCb3RIzrRR6OQzBl0/bEcQLxvdw+SpPNQD1BNvJw/NGs0h9X716rkhOcMm
4T+FveJq7twQkrNwPLlKNi4kZ+FE8HPwl059Xf098U+Tjt+N6A5gP5a8ZJuY
k9PIMTF3E9gz8dd+Fnvhqdfmkovmy2zOkMs+Med05oPY54A5H53iag4swEe9
fAn4s8ETaeYsCsmZuhD9EnQziKG4w7gLnU/fhr75aty7ZpPmVn1r3D8Zfyx4
31ZfV39/hLotw0797Q6jI8H7+lZ81LvLcJ/PcC6d8VnOqe/xyeDvX5jriKW3
eiz4O9GbeZpa6Ht5Kvgb1ix7jhw099bjv5Tc9LY0IzWbNKs0Jzex1yzbxXol
+g3c1yr8dH+r2S9AtpK7VGzN6BX4red+1+BzM7rlIfnfoL1m5U7wDhu9wF3p
Pp8n7+fYL0N2GPkL3O9W7u8Qd/ho8Pmn2Vfb6jUouqyI8a7R7/4K452i3+Ve
aqO6/G40Ivqd/mk0Mvpd/2GUFb0GJ4LPsG3U8CB1PEZtVKMXjV6i9kfY76GW
8tXb0Fx4Injv1Qx6PPiM0Bs5GnwePUmNO6Pfh41yOsAbOIp/Gm/hId6DYu8n
vv5hdlNv/dtsp0b6P9F/jf5vThq9bnS30StGr3JG2b+Lz2vo7oGfYn2Kvezf
x17/Tm8G/2fajuy9i9bvYLMem3XwN4m5ARvpvzD6jDOcNvok+Lv5yOgD1nq7
ek8bkX1IfK3zsMljvwO7PHBO47sLnDMX3deZi2KfJs6nrHeh/4z12+S/Hf4W
Z5H+c2xU/xPc88ust8FPIj8Ov4O7lV5vR29f713vX9/WFmqXx5k2cI+nsH8D
fMnW4iuf1fhtQvYd8u9Z74Frrx53Pvhb0fqc0Zfczxbkm6GzxDzHWm/rcvtu
2kd/l2fR7cbvPDY/giXcr7C5F9kP4H6LfSKfb7AparG7R/8ONTPUY9Q7S5is
b/Q7q2Z8bvS8KxufGf0NpRmfE702Gcavid5HFK8HMYtF10m+xHid6N+zekk6
/aSe8auj95IaxudHz6+c8UnR38FU4xWjfx+ljV8fvd5ljI+P/r2VMl43eu9Q
7v3Iv5Lx6dHfdKbx3tF74gDj10bvMZONl4/+BhsYbxi9l6jPdabXdYne19Q/
utn6r+A9rKet/w7eRwfa+kLwM/a39X/Be20LW/8avK/0svU/wXtzH1v/G7w3
N7Z1k+j9qKnxX4L3rY7Re6h6pN5CB95DG+Nto/e4lsZbRe9ZzYw3j97vrjK+
KPo7aG38t+B9sV30fq2e18jWPwfvheNsnRL926pgPCd637lA/XSuktHvTvdW
MDqesHTWsdHPO8949ejvcZbxKtG/e+EMiY6l8w2Nfkb9FwyOPksmGC8bvV8W
jn5OnfGy6LVRXQpEvy/dVaHo59fZFxuvFf2bWGC8ZvS3n2u8avReWDz6O9Ab
yB/9/entqYajo9dRtR0Vvb66s+HR7011GxO9dqpbdvTazTCeGr2nqs7Dotf6
f+mLRug=
           "]], PolygonBox[CompressedData["
1:eJwlk3dvT2EYht+n9qy9R4sihBBCCCEVDakQDS1q1l6tvRXfw9577z2CGEEQ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           "]]}]}, {}, {}, {}}, 
      {GrayLevel[0], Opacity[0.4], 
       LineBox[{2, 1, 12, 23, 34, 45, 56, 67, 78, 89, 100, 111, 122, 133, 144,
         155, 204, 280, 357, 276, 356, 277, 358, 251, 360, 278, 359, 279, 361,
         252, 363, 281, 362, 282, 364, 253, 366, 283, 365, 284, 367, 254, 369,
         285, 368, 286, 370, 255, 372, 287, 371, 288, 373, 256, 375, 289, 374,
         290, 376, 257, 378, 291, 377, 292, 379, 258, 381, 293, 380, 294, 382,
         259, 384, 295, 383, 296, 385, 260, 299, 275, 298, 386, 250, 341, 340,
         339, 274, 355, 249, 338, 337, 336, 273, 354, 248, 335, 334, 333, 272,
         353, 247, 332, 331, 330, 271, 352, 246, 329, 328, 327, 270, 351, 245,
         326, 325, 324, 269, 350, 244, 323, 322, 321, 268, 349, 243, 320, 319,
         318, 267, 348, 242, 317, 316, 315, 266, 347, 241, 314, 313, 312, 265,
         346, 240, 311, 310, 309, 264, 345, 239, 308, 307, 306, 263, 344, 238,
         305, 304, 303, 262, 343, 237, 302, 301, 300, 261, 342, 297, 180, 11, 
        10, 9, 8, 7, 6, 5, 4, 3, 2}]}}]},
   AspectRatio->1,
   Frame->True,
   ImageSize->Small,
   PlotRange->{{-3, 3}, {-3, 3}},
   PlotRangeClipping->True,
   PlotRangePadding->{
     Scaled[0.02], 
     Scaled[0.02]}], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
gcdf = ContourPlot[CDF[ndist, {x1, x2}], {x1, -4, 4}, {x2, -4, 4},ImageSize \
\[Rule] Small];
Show[{ gcdf, grp}, ImageSize \[Rule] Small]\
\>", "Input",
 CellTags->"S6.7.1"],

Cell[BoxData[
 FormBox[
  GraphicsBox[{GraphicsComplexBox[CompressedData["
1:eJx1nHc81d8bwO15XaXISKkolVGhqc6hJaVhtEhpaGihnTREW5HyTZNEIfVT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     "], {{{}, 
       {RGBColor[0.3362619967523491, 0.1319020171481318, 0.5896372316446059], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmFdwlVUQxz/uvZ/YsAGCiAJBEgKiSJEiikBACISODREBn5BuowQiDzoo
gk82BB7VRHwBA5owg5SIxAEbRRwcxYYDDjLqCIP1/5/9fRMfdvaec7ae3bO7
3+00c/7EebkkSV5tliR54W8FXl8peE6wVLBM8LygUrBcsFawQlAlWM25z94X
4w7BU/q9Hp41li14FnnrwOZ7DZzRLUfuK4JV8GzgzDoXy8AGyR+XJkk1ci3v
LWRZZw17Xr8heBl5b4LNswlay14omTslc4xkbtX6dfgatbdPsFG/++tu/hIe
Jdijvd2CF/R7G7SW3U80fwqPFHQUXMEddgJfJSgCtxS0FkhlcoHganBzQStB
gbM27F0IT56zq4iR1z0E1wmuF9woaM/6ZkEHbOkmaCe4VtBV0FZwjaAEHV5/
I4GbBSP0uxib2hCDJeTBDdhn2ztjk9c90WNfu6PHdpSix7q7wGe5ddLznmCh
fs8UTBRMEtRq7x3BZP1+RhewXfhB4co04jDeezo/QY49rfXbwvcJrxZ8qd+P
Cq9ULL4Tzfkk4Bv8WqyzWcLD0/DV+1O03iX8EzFdqLOPnH/Cx7T3VS7kOrZ9
Jfcu4SPa+yIXdAbTNQo/gs22vRE6n9uW49iznf16YjRYcIfvKhd2W8eTadA/
LnwU+bbhAfy1323Ji4vw7zi+9BGUCYYJBkjW38Ll5hWMEVT4TgVjBeOcD0qi
gaL7R7+nszde8BB4gv0STEXGHPA0wQzOJ7KuQO5c1tYzD2zZ88GWvRB+x7+v
Y4LdS+TbD/JljfACaE13axIxNN0ybJpDXs5mvRzd1lnJudcr2LP+KvACctP3
d7HgF8EPgu+TeD8tBJdB4zz2u3FO+405xzsQv5sEPwoaBAfh7QHdIfY/SOIN
dEPWYfb2JvFWunO2T/CeoC6Jt+ZY9na+QPthEm/zVu4ss9V2ZrWmYxK1pyM2
tsX2EmwaJLiNdT9kme+WJN5xZ3T2QkZP/Cxiz3RfYIvt9TtwPjuvsxrXCdqh
giHwGN8puASffR+uXy3h64JPffDVtfVd9LzLvfjOtnLWAt/bc8e1nOWQdyVx
bUcMXTdboc+1tTXrizjP3pNxG/S5x9RwB7Z9MPH2e71dcEDK9ufiTX6XRO/0
3Wc1vTV3OYy78Jt3r3L/aY4e062i5szlvfteXT+6E6uBSdRHy/EbmQz2WxiH
XbZvInpMN4E793o850Pg6UvcXWtck1zTRrDnnBiLj5Zbga9eu7f1FwyApx/r
dtx1FlvjS4nNpcTKOeC8KMK+3sS6F3udWTvvnQuj0GPfi/ORt6OTqGUDuZfe
8N3AfdVxx7bJOV+KjSWsXcuPUZNLkW/absgcAF1/+NrAm/XDYmxriV7b3Qr9
nYl3F9a2pYZ4H8xHbX4ijVz2vFBNDPsQj4HY0Z04FKO7LzKL8dnnN2JrKTyD
2OuRNL23XsTM+Zr1GeMsl3tCNxRa36V779lc1OQsfo5ns0L0kc8L0Qdca2dj
w6j/5cVI8sJ6nUMV+FUOnfU6F7OcHQedbXDuZjk7ATrnySTOsrz3+ozgd9uT
RG5aj3vbZmaH4ch138n6knHWA42non86dM6xcu4463/TuZOZ6D3OzHAem7yf
9cAZ8IxIY44Zmsbs6fnw9aSpd/ruPCN7nq2Cz73Q/Wh/IeaAA8Jps6b5KOud
7mGexTyTrULfAs48n3oGHYkO90j3Rs9ZVdBZfyVnvo+57GV9ei48z6HDc7dn
5PXo8/xsn5Zz5rndvXUta/O8Cp11rEZWNvf7bEIaM/TYNPgt27O6Z+oNyKpE
9uqk6TthXdLUv7NvhDe5X/dB9+7rofWbq0H2Jtae5Tfhz/1pzPd3p1G/66Fz
nNxDauHxfh16/G63Idd77g/T0+gBU9OwYxv81Zxn/cv90j3ceXsiiXnBdO5n
DfDtZZ3x7EXGPtam8zxxEP2NnM1LowfPToP/MHS18OxB1hHOjjCr1hOPavyz
rKPY+lgatXJBGnItf04aa+8vSsNn+z4tjdjUIOu04GTS1AuN3Yt/xu9sRvqe
eDWwbzt/hd+99BQ0nm1cs4/i893E7t40ZJ6B/7ckZjjz/c6+z/9AZjPknsam
H4mF9Z6F93LBOXg/h/ZXeL/Frxy0v0F/irVt9fvx23D+uj76Lfm9rmGmXeoY
5WPOL8vHm1sBj3vxSvpxkejK9PtD0QxLo3eU6vcWydhKjXO/dr1zrdubj3qx
TvjlfMz9Faohh/LxvePvnjP4Zp8fzse8nytE3Suh9rl2+DvHNXxWPmq+a7/r
kOuIa8iMfND8KzwzH3XHw9VL+fhOHlMI2jq+0exHPd96/ZKmWeOzQtCbzz3H
9rvWfVKIOvYi3yX+PnHf74qd/m3cFR/Mew5+90H74xruO3Ltdt32ndVyb2f5
xvS9bOGbdwq0tex7bwv0VfhuXxxD+2KfhqRBU5aGrbZ5dCH8O4+P9dyDfXdd
28E3pv9veB+ZO/jtfftQRt3vRuwcw68LsV9EvTrAvO1v1gZ4S5kxPGtkcm27
Ze+C5jTv4SQ567x33XRNdP3dCN7D7wZ+m9ff3DuxuSINmYvycbabfna4EDF7
hXxy/rjvO07OyXJyxTnzaSHyz2eHClF/9zFLHywEvXP5X/Lt40KcN0JzjlnF
d+Q73o5t1um8GoXuv8hr50wx+ePat587vIf/FvwfQwk5ZTs3Yo/vZiT/OzyS
D9376SX/AQsfO0M=
           "],
           VertexColors->None], 
          PolygonBox[{{1349, 99, 693, 1350}, {869, 694, 691, 1345}, {1388, 
           728, 188, 1387}, {1237, 254, 314, 1238}, {1231, 251, 311, 1232}, {
           1233, 252, 312, 1234}, {836, 385, 553, 1229}, {1394, 733, 203, 
           1393}, {1235, 253, 313, 1236}, {1420, 760, 99, 810}, {1356, 705, 
           743, 933}, {1346, 693, 694, 869}, {968, 324, 261, 967}, {1360, 158,
            708, 1361}, {1230, 553, 309, 1098}, {1098, 309, 251, 865}, {1368, 
           714, 158, 1367}, {1395, 218, 733, 1396}, {874, 699, 741, 1401}, {
           882, 706, 704, 1355}, {1374, 188, 718, 1375}, {1389, 203, 728, 
           1390}, {1369, 173, 714, 1370}, {875, 700, 698, 1351}, {1398, 85, 
           737, 1399}, {1099, 311, 252, 866}, {922, 261, 760, 1420}, {933, 
           743, 700, 1352}, {1359, 709, 744, 940}, {1397, 737, 739, 916}, {
           1348, 691, 85, 1347}, {940, 744, 706, 1357}, {916, 739, 385, 
           966}, {1351, 698, 699, 874}, {1100, 312, 253, 867}, {1402, 741, 
           324, 1247}, {1101, 313, 254, 868}, {1355, 704, 705, 881}, {1358, 
           708, 709, 888}, {1373, 718, 173, 1372}},
           VertexColors->None]}]}, 
       {RGBColor[
        0.42195399025718194`, 0.2808972514446295, 0.7100876949340071], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFVktvVlUUvfc8TJr4IHFmFKmIg5YWsO3Hq61+5Q0WC/goFTVFnFhEQVEx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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtlclvSFEUxt979z4rOzshlESixgY1FImh5lJzqSGmjZpnQmKIKdIFCRXj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           "],
           VertexColors->None]}]}, 
       {RGBColor[
        0.5076459837620149, 0.42989248574112726`, 0.8305381582234083], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFVUtsllUQ/f7vzkdLaxN5JAYLtQSXFaIxdVnbpMX+baiCUKWuTOSx0QX4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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtlElIllEUhr/Pe4QygqZNVKTUTjCwaRcpmPkn/abNtQpygKiFNq2CKK2F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           "],
           VertexColors->None]}]}, 
       {RGBColor[0.5855227709698417, 0.5624343568374328, 0.9099934778789133], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFlMtvjWEQxk+/7/2ki6aJtCuVyFGRUOFPsKhyLByXBdrEJUop1UrUnYWW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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtk0tsTlEUhe9/z7nUM6ESiUqlWk0YmDIz8CqNegy8Eo8o5fdoRZq2XgMV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           "],
           VertexColors->None], 
          PolygonBox[{{1069, 1068, 1177, 529, 899}, {900, 531, 1182, 1068, 
           1069}, {1077, 1076, 1196, 538, 904}, {911, 547, 1217, 1087, 
           1088}, {1088, 1087, 1213, 545, 910}, {905, 540, 1200, 1076, 1077}},
           
           VertexColors->None]}]}, 
       {RGBColor[0.6485262146281346, 0.6636633599016467, 0.9114297623410638], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFVEtsjFEU/v//3j+kFrRiZTNEO0hU0kRIbKysvKZTI23SKVNvOsO2MjYV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           "],
           VertexColors->None], PolygonBox[CompressedData["
1:eJwtlEtsTVEYhc85e99IRFolHRkxUK+0ckdVEyFh4tX2Im3SlsajWr2XKdFJ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           "],
           VertexColors->None], 
          PolygonBox[{{1058, 1057, 893, 519, 1163}, {1061, 458, 1060, 1057, 
           1058}},
           VertexColors->None]}]}, 
       {RGBColor[0.7115296582864276, 0.7648923629658605, 0.9128660468032141], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtVDtok1EUvsm9tw8NmEiaWAiIiuhmm6mpi6g4+YDiok3ya5d2qK1VtJOd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           "],
           VertexColors->None], 
          PolygonBox[{{1289, 281, 780, 1424}, {1178, 175, 463, 1179}, {1128, 
           447, 133, 1127}, {938, 594, 408, 990}, {1197, 190, 467, 1198}, {
           989, 408, 431, 815}, {974, 395, 607, 1281}, {1319, 644, 426, 
           1015}, {844, 132, 644, 1320}, {850, 395, 604, 1277}, {1186, 190, 
           463, 1187}, {1122, 446, 132, 1121}, {1431, 791, 448, 1274}, {845, 
           133, 789, 1429}, {1207, 205, 467, 1208}, {1297, 615, 284, 1296}, {
           1134, 448, 134, 1133}, {1015, 426, 594, 938}, {1214, 205, 473, 
           1215}, {1083, 467, 205, 861}, {1139, 351, 281, 887}, {1061, 457, 
           175, 857}, {1287, 280, 351, 1288}, {1282, 607, 348, 1276}, {1277, 
           604, 502, 1135}, {993, 410, 616, 949}, {1059, 457, 521, 894}, {846,
            134, 790, 1430}, {944, 348, 410, 1280}, {1285, 279, 350, 1286}, {
           1074, 463, 190, 858}, {847, 135, 791, 1431}, {1283, 278, 349, 
           1284}, {1167, 521, 620, 950}, {1185, 463, 175, 1184}, {1221, 473, 
           205, 1219}, {1224, 220, 473, 1225}, {1435, 780, 352, 1434}, {1136, 
           502, 278, 1042}, {1162, 160, 457, 1163}, {1204, 467, 190, 1202}, {
           949, 616, 615, 1290}, {816, 432, 395, 850}, {950, 620, 615, 
           1291}, {1170, 175, 457, 1171}, {1138, 350, 280, 886}, {1137, 349, 
           279, 885}, {1003, 284, 411, 1004}, {1094, 473, 220, 863}, {1021, 
           431, 347, 1020}, {1430, 790, 447, 1272}, {1278, 605, 395, 974}, {
           994, 411, 432, 816}, {1406, 615, 160, 1405}, {1429, 789, 446, 
           1270}, {1020, 347, 605, 1279}},
           VertexColors->None]}]}, 
       {RGBColor[0.7733198953547222, 0.8505624617850971, 0.9092423844597524], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtVD1PVFEQve/eechHImgkBhJiCEaUaEJh5H/Q2PKx0Bg+1AghIgsqjYsR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           "],
           VertexColors->None], 
          PolygonBox[{{1073, 296, 533, 1187}, {1203, 541, 629, 957}, {1146, 
           147, 450, 1147}, {1063, 291, 522, 1169}, {1157, 452, 682, 1340}, {
           1167, 357, 291, 894}, {1224, 550, 637, 1311}, {1066, 365, 291, 
           1065}, {1170, 523, 624, 1300}, {977, 397, 621, 1296}, {1186, 533, 
           629, 1305}, {901, 296, 365, 998}, {1306, 630, 296, 978}, {948, 681,
            801, 1434}, {1150, 148, 451, 1151}, {1136, 449, 146, 1135}, {1149,
            450, 679, 1338}, {891, 509, 449, 1043}, {1297, 621, 357, 1291}, {
           1168, 522, 651, 819}, {1059, 291, 523, 1171}, {819, 651, 397, 
           853}, {1325, 652, 147, 1146}, {1154, 149, 452, 1155}, {1043, 449, 
           510, 892}, {1207, 543, 633, 1308}, {1283, 608, 449, 1042}, {1285, 
           610, 450, 1044}, {994, 146, 356, 995}, {957, 629, 533, 1188}, {
           1293, 356, 619, 1295}, {1289, 614, 452, 1048}, {995, 356, 417, 
           1004}, {1294, 619, 509, 891}, {1340, 682, 150, 1156}, {1048, 452, 
           505, 887}, {1435, 801, 614, 1424}, {1408, 748, 356, 1293}, {1188, 
           533, 630, 958}, {1046, 451, 504, 886}, {1044, 450, 503, 885}, {
           1339, 680, 149, 1152}, {1338, 679, 148, 1148}, {1003, 417, 397, 
           977}, {1300, 624, 532, 1184}, {946, 611, 610, 1286}, {961, 633, 
           543, 1209}, {1308, 633, 548, 1219}, {947, 613, 612, 1288}, {1185, 
           532, 296, 1073}, {1220, 548, 633, 961}, {1287, 612, 451, 1046}, {
           1145, 510, 652, 1324}, {1153, 451, 680, 1339}, {1305, 629, 541, 
           1202}, {1137, 503, 609, 945}, {1139, 505, 613, 947}, {853, 397, 
           748, 1407}, {1138, 504, 611, 946}, {964, 637, 550, 1226}, {945, 
           609, 608, 1284}},
           VertexColors->None], 
          PolygonBox[{{907, 543, 1208, 1081, 1082}, {1093, 1092, 1221, 548, 
           912}, {1082, 1081, 1204, 541, 906}, {913, 550, 1225, 1092, 1093}},
           VertexColors->None]}]}, 
       {RGBColor[0.8299012638708403, 0.8694308405212682, 0.8838939820689419], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1VDtrVFEYPPc8Ok0KUUTIGosgihIkWJhoaWEbDQqCiIhxt1BYK7PRbGKC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           "],
           VertexColors->None], 
          PolygonBox[{{854, 398, 749, 1409}, {1408, 618, 161, 1407}, {822, 
           654, 514, 1152}, {1301, 176, 527, 1302}, {897, 527, 459, 1064}, {
           827, 662, 399, 859}, {996, 162, 360, 997}, {1415, 399, 370, 955}, {
           1005, 418, 399, 978}, {823, 655, 516, 1156}, {1000, 370, 176, 
           999}, {833, 666, 470, 862}, {1328, 658, 413, 998}, {901, 413, 418, 
           1005}, {1168, 161, 459, 1169}, {835, 669, 476, 864}, {820, 653, 
           512, 1148}, {1342, 288, 752, 1412}, {1085, 470, 303, 1084}, {1066, 
           460, 658, 1328}, {1097, 476, 307, 1095}, {1203, 371, 303, 906}, {
           913, 307, 383, 1226}, {1222, 549, 666, 833}, {1047, 287, 513, 
           1151}, {1150, 513, 653, 820}, {1064, 459, 525, 895}, {1306, 399, 
           371, 958}, {1063, 459, 460, 1065}, {907, 303, 379, 1209}, {1365, 
           712, 288, 1342}, {1149, 512, 286, 1045}, {1220, 379, 307, 912}, {
           1363, 711, 287, 1341}, {1172, 524, 526, 896}, {1153, 514, 287, 
           1047}, {1157, 516, 288, 1049}, {895, 525, 524, 1172}, {1049, 288, 
           515, 1155}, {1145, 358, 285, 892}, {1329, 526, 162, 825}, {1409, 
           749, 711, 1362}, {1205, 542, 662, 827}, {1095, 307, 549, 1223}, {
           1084, 303, 542, 1206}, {1154, 515, 654, 822}, {1341, 287, 750, 
           1410}, {1045, 286, 511, 1147}, {856, 752, 362, 952}, {1294, 285, 
           618, 1295}, {1325, 511, 358, 1324}, {1411, 751, 712, 1364}, {855, 
           750, 751, 1411}, {821, 360, 398, 854}},
           VertexColors->None]}]}, 
       {RGBColor[0.8864826323869582, 0.8882992192574393, 0.8585455796781315], 
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNUztrlFEQvXvvd3+C624WC0Ex6WJhIcmuioXYxicoEqPx0ewiiQQMqKui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           "],
           VertexColors->None], 
          PolygonBox[{{897, 292, 367, 1174}, {1174, 367, 625, 1302}, {1418, 
           634, 304, 1417}, {1205, 191, 469, 1206}, {1331, 663, 535, 1190}, {
           1192, 534, 178, 1191}, {1097, 475, 221, 864}, {959, 631, 433, 
           1022}, {821, 163, 765, 1422}, {965, 638, 552, 1228}, {1382, 179, 
           724, 1383}, {1422, 765, 293, 951}, {1222, 206, 475, 1223}, {855, 
           164, 684, 1410}, {856, 165, 686, 1412}, {1085, 469, 206, 862}, {
           1363, 684, 163, 1362}, {902, 535, 534, 1189}, {1096, 475, 551, 
           914}, {951, 293, 412, 997}, {979, 400, 631, 959}, {996, 412, 659, 
           825}, {1380, 721, 179, 1379}, {828, 373, 400, 860}, {1329, 659, 
           366, 1173}, {1227, 551, 635, 962}, {1301, 625, 414, 999}, {1000, 
           414, 628, 956}, {1365, 686, 164, 1364}, {956, 628, 627, 1304}, {
           1415, 755, 191, 859}, {962, 635, 634, 1309}, {1173, 366, 292, 
           896}, {1304, 627, 755, 955}, {1022, 433, 663, 1331}, {908, 304, 
           373, 1391}, {915, 552, 475, 1096}, {1377, 178, 721, 1378}, {1385, 
           724, 180, 1384}},
           VertexColors->None]}]}, 
       {RGBColor[0.941176, 0.906538, 0.834043], EdgeForm[None], 
        GraphicsGroupBox[{
          PolygonBox[{{1417, 757, 1418}, {1228, 384, 965}, {726, 376, 300}, {
           688, 797, 687}, {224, 208, 209}, {1022, 372, 959}, {308, 380, 
           207}, {796, 797, 192}, {536, 374, 298}, {687, 796, 193}, {210, 194,
            195}, {757, 689, 380}, {1309, 380, 962}, {1378, 722, 1377}, {298, 
           796, 192}, {914, 308, 1096}, {723, 375, 299}, {232, 224, 209}, {
           384, 308, 222}, {208, 224, 223}, {375, 725, 300}, {241, 249, 
           233}, {237, 232, 210}, {241, 245, 225}, {249, 241, 225}, {374, 722,
            299}, {237, 241, 232}, {688, 731, 192}, {1383, 725, 1382}, {241, 
           233, 232}, {380, 689, 207}, {689, 688, 207}, {232, 233, 224}, {797,
            796, 687}, {797, 688, 192}, {210, 232, 209}, {207, 687, 208}, {
           308, 207, 222}, {194, 210, 209}, {1391, 731, 908}, {959, 372, 
           979}, {1331, 372, 1022}, {688, 687, 207}, {223, 207, 208}, {1190, 
           372, 1331}, {860, 192, 828}, {1379, 723, 1380}, {298, 374, 193}, {
           193, 209, 208}, {1096, 308, 915}, {300, 376, 195}, {374, 299, 
           193}, {372, 298, 192}, {193, 299, 194}, {687, 193, 208}, {796, 298,
            193}, {209, 193, 194}, {1189, 298, 902}, {194, 300, 195}, {1191, 
           536, 1192}, {375, 300, 194}, {1384, 726, 1385}, {962, 380, 1227}, {
           245, 241, 237}, {207, 223, 222}, {299, 375, 194}},
           VertexColors->None], 
          PolygonBox[{{1381, 300, 725, 1383}, {1380, 723, 299, 1376}, {1344, 
           689, 757, 1417}, {1377, 722, 374, 829}, {1343, 688, 689, 1344}, {
           831, 376, 726, 1384}, {908, 731, 688, 1343}, {979, 372, 192, 
           860}, {1192, 536, 298, 1189}, {1418, 757, 380, 1309}, {1385, 726, 
           300, 1381}, {1382, 725, 375, 830}, {1376, 299, 722, 1378}, {830, 
           375, 723, 1379}, {829, 374, 536, 1191}, {902, 298, 372, 1190}, {
           1227, 380, 308, 914}, {828, 192, 731, 1391}, {915, 308, 384, 
           1228}},
           VertexColors->None]}]}}, {{}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{831, 1384, 1385, 1381, 1383, 1382, 830, 1379, 1380, 1376, 
           1378, 1377, 829, 1191, 1192, 1189, 902, 1190, 1331, 1022, 959, 979,
            860, 828, 1391, 908, 1343, 1344, 1417, 1418, 1309, 962, 1227, 914,
            1096, 915, 1228, 965}],
          "0.9`"],
         Annotation[#, 0.9, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{835, 864, 1097, 1095, 1223, 1222, 833, 862, 1085, 1084, 
           1206, 1205, 827, 859, 1415, 955, 1304, 956, 1000, 999, 1301, 1302, 
           1174, 897, 1064, 895, 1172, 896, 1173, 1329, 825, 996, 997, 951, 
           1422, 821, 854, 1409, 1362, 1363, 1341, 1410, 855, 1411, 1364, 
           1365, 1342, 1412, 856, 952}],
          "0.8`"],
         Annotation[#, 0.8, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{823, 1156, 1340, 1157, 1049, 1155, 1154, 822, 1152, 1339, 
           1153, 1047, 1151, 1150, 820, 1148, 1338, 1149, 1045, 1147, 1146, 
           1325, 1324, 1145, 892, 1043, 891, 1294, 1295, 1293, 1408, 1407, 
           853, 819, 1168, 1169, 1063, 1065, 1066, 1328, 998, 901, 1005, 978, 
           1306, 958, 1188, 957, 1203, 906, 1082, 907, 1209, 961, 1220, 912, 
           1093, 913, 1226, 964}],
          "0.7`"],
         Annotation[#, 0.7, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{948, 1434, 1435, 1424, 1289, 1048, 887, 1139, 947, 1288, 
           1287, 1046, 886, 1138, 946, 1286, 1285, 1044, 885, 1137, 945, 1284,
            1283, 1042, 1136, 1135, 1277, 850, 816, 994, 995, 1004, 1003, 977,
            1296, 1297, 1291, 950, 1167, 894, 1059, 1171, 1170, 1300, 1184, 
           1185, 1073, 1187, 1186, 1305, 1202, 1204, 1081, 1208, 1207, 1308, 
           1219, 1221, 1092, 1225, 1224, 1311}],
          "0.6`"],
         Annotation[#, 0.6, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{834, 863, 1094, 1091, 1215, 1214, 832, 861, 1083, 1080, 
           1198, 1197, 826, 858, 1074, 1072, 1179, 1178, 824, 857, 1061, 1058,
            1163, 1162, 818, 852, 1405, 1406, 1290, 949, 993, 992, 1280, 944, 
           1276, 1282, 1281, 974, 1278, 1279, 1020, 1021, 815, 989, 990, 938, 
           1015, 1319, 1320, 844, 1269, 1121, 1122, 1039, 1270, 1429, 845, 
           1271, 1127, 1128, 1040, 1272, 1430, 846, 1273, 1133, 1134, 1041, 
           1274, 1431, 847, 1337}],
          "0.5`"],
         Annotation[#, 0.5, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{812, 1131, 1336, 1132, 1038, 1130, 1129, 811, 1125, 1335, 
           1126, 1036, 1124, 1123, 1322, 1321, 1120, 880, 1034, 879, 1119, 
           1318, 1118, 878, 1032, 877, 1117, 1317, 1014, 935, 1265, 972, 1268,
            937, 1266, 936, 1267, 987, 988, 942, 1275, 941, 1403, 849, 814, 
           1019, 991, 890, 1002, 975, 976, 1323, 1164, 893, 1057, 1060, 1062, 
           1327, 1180, 953, 1299, 899, 1069, 900, 1183, 954, 1195, 904, 1077, 
           905, 1201, 960, 1212, 910, 1088, 911, 1218, 963}],
          "0.4`"],
         Annotation[#, 0.4, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{932, 1432, 1433, 1423, 1261, 1037, 873, 1113, 931, 1260, 
           1259, 1035, 872, 1112, 930, 1258, 1257, 1033, 871, 1111, 929, 1256,
            1255, 1031, 870, 1110, 926, 1252, 842, 970, 928, 1253, 927, 1254, 
           984, 1012, 1011, 1010, 934, 971, 843, 1316, 1315, 1013, 1264, 1263,
            883, 1001, 884, 986, 943, 1142, 889, 1051, 1144, 1143, 1292, 1160,
            1161, 1054, 1166, 1165, 1298, 1176, 1177, 1068, 1182, 1181, 1303, 
           1194, 1196, 1076, 1200, 1199, 1307, 1211, 1213, 1087, 1217, 1216, 
           1310}],
          "0.3`"],
         Annotation[#, 0.3, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{1333, 1090, 1089, 1086, 909, 1210, 1332, 1079, 1078, 1075, 
           903, 1193, 1330, 1071, 1070, 1067, 898, 1175, 1326, 1056, 1055, 
           1053, 1159, 1158, 817, 851, 1052, 1050, 1141, 1140, 813, 848, 973, 
           939, 1016, 1017, 1018, 985, 1262, 1115, 1436, 1116, 1114, 1354, 
           876, 1353, 1250, 924, 1249, 925, 1251, 969, 1248, 923, 1007, 1008, 
           1009, 982, 983, 921, 1006, 1312, 1313, 837, 1239, 1102, 1103, 1027,
            1240, 1425, 838, 1241, 1104, 1105, 1028, 1242, 1426, 839, 1243, 
           1106, 1107, 1029, 1244, 1427, 840, 1245, 1108, 1109, 1030, 1246, 
           1428, 841, 1334}],
          "0.2`"],
         Annotation[#, 0.2, "Tooltip"]& ]}, 
       {GrayLevel[0], Opacity[0.4], 
        TagBox[
         TooltipBox[
          LineBox[{920, 1238, 1237, 1026, 868, 1101, 919, 1236, 1235, 1025, 
           867, 1100, 918, 1234, 1233, 1024, 866, 1099, 917, 1232, 1231, 1023,
            865, 1098, 1230, 1229, 836, 966, 916, 1397, 1399, 1398, 980, 809, 
           1347, 1348, 1345, 869, 1346, 1350, 1349, 1400, 981, 810, 1420, 922,
            967, 968, 1314, 1247, 1402, 1421, 1401, 874, 1351, 875, 1352, 933,
            1356, 881, 1355, 882, 1357, 940, 1359, 888, 1358, 1361, 1360, 
           1404, 1367, 1368, 1366, 1370, 1369, 1413, 1372, 1373, 1371, 1375, 
           1374, 1414, 1387, 1388, 1386, 1390, 1389, 1416, 1393, 1394, 1392, 
           1396, 1395, 1419}],
          "0.1`"],
         Annotation[#, 0.1, "Tooltip"]& ]}, {}, {}, {}}}], 
    GraphicsComplexBox[CompressedData["
1:eJx1ln1M1HUcxw9BQuCEmfYApj1YnqGTdOfTysOdwxpOT5fNh0QtMfM053Sj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     "], {{
       {Opacity[0.25], EdgeForm[None], FaceForm[GrayLevel[0.5]], 
        GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNlmWYllUQhs9RkFCaBamFpaSku2uJlSWlWWJRJJeQWEEaBSRUQkKkFBRU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           "]], PolygonBox[CompressedData["
1:eJwlk3dvT2EYht+n9qy9R4sihBBCCCEVDakQDS1q1l6tvRXfw9577z2CGEEQ
GgShQfANzOvO/ceVc73nd37nfd7nuU92SVlBaUZKKQ+qwi+YEynd57oV/kIZ
65dcd0A+Pgpu4Cf1H3wL/MT3wSS8FhzGL8JkvA4cxS/DVLweHMevwhS8LhzD
r0A7fAm8wiugCl4O3/C9kIUvhzf4O+iGN4Y7+G3IwNdDJb4HBuAD4VJyTWPx
AriFn4Y+eF+4gB+Efnj/cO2H4DfMZ/2I6zYYh48P73UGeuA94Ry+Hwbhg8Nn
PQLFeO2wq4aErwzXvgva4IvheXKP/8Ai1s+4btfj+Br4iO+G7uGeq9c6cy+8
N5zHD8A/WBbu3U6YiNcMn0VnLMKrh59VzTPwBnAqeaYj8JFwHT8Bw/E8uJY8
M9XaGl4k15yLDwvPUjNcEa5Be7+FTay7wA/8OwzBh4ZnrUxsDs9Ys9UzpeEe
6OzaQ1loC6+TMzEvnFFl8yG0Yr0AniT3TNloH95bGZmLNws/+wAWhmeqWT6F
peGMK9vaQ+9qGf5N75yG1w/3Qj3YgOfAV/wLrA7PVLP8ABPwGuEsaSYz8Ubh
rChzhXi1cFbOQgneMJzFmzAdzwx/W5pB8/AZVLsy2BSfBXeTv9GN4cwr66pp
ND4m/C7NtAO+Ct4nZ0ieHa5V99aFM6ZsfYZO+Fr4lPwNyTuGf9O9ruGZapb6
5juHe6Je6BtVbU3gXnKNs/EW8Dj53n84ape7
           "]]}]}, {}, {}, {}}, 
      {GrayLevel[0], Opacity[0.4], 
       LineBox[{2, 1, 12, 23, 34, 45, 56, 67, 78, 89, 100, 111, 122, 133, 144,
         155, 204, 280, 357, 276, 356, 277, 358, 251, 360, 278, 359, 279, 361,
         252, 363, 281, 362, 282, 364, 253, 366, 283, 365, 284, 367, 254, 369,
         285, 368, 286, 370, 255, 372, 287, 371, 288, 373, 256, 375, 289, 374,
         290, 376, 257, 378, 291, 377, 292, 379, 258, 381, 293, 380, 294, 382,
         259, 384, 295, 383, 296, 385, 260, 299, 275, 298, 386, 250, 341, 340,
         339, 274, 355, 249, 338, 337, 336, 273, 354, 248, 335, 334, 333, 272,
         353, 247, 332, 331, 330, 271, 352, 246, 329, 328, 327, 270, 351, 245,
         326, 325, 324, 269, 350, 244, 323, 322, 321, 268, 349, 243, 320, 319,
         318, 267, 348, 242, 317, 316, 315, 266, 347, 241, 314, 313, 312, 265,
         346, 240, 311, 310, 309, 264, 345, 239, 308, 307, 306, 263, 344, 238,
         305, 304, 303, 262, 343, 237, 302, 301, 300, 261, 342, 297, 180, 11, 
        10, 9, 8, 7, 6, 5, 4, 3, 2}]}}]},
   AspectRatio->1,
   Frame->True,
   ImageSize->{197., Automatic},
   PlotRange->{{-4, 4}, {-4, 4}},
   PlotRangeClipping->True,
   PlotRangePadding->{
     Scaled[0.02], 
     Scaled[0.02]}], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"CDF", "[", 
  RowBox[{"ndist", ",", " ", 
   RowBox[{"{", 
    RowBox[{".5", ",", " ", "2.0"}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox["0.22556239995726615`", TraditionalForm]], "Output"]
}, Closed]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"Clear", "[", 
   RowBox[{"x1", ",", "x2"}], "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"marginal", "[", "x1_", "]"}], ":=", 
   RowBox[{
    SubsuperscriptBox["\[Integral]", 
     RowBox[{"-", "\[Infinity]"}], "\[Infinity]"], 
    RowBox[{
     RowBox[{"PDF", "[", 
      RowBox[{"ndist", ",", 
       RowBox[{"{", 
        RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], 
     RowBox[{"\[DifferentialD]", "x2"}]}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"marginal2", "[", "x2_", "]"}], ":=", 
   RowBox[{
    SubsuperscriptBox["\[Integral]", 
     RowBox[{"-", "\[Infinity]"}], "\[Infinity]"], 
    RowBox[{
     RowBox[{"PDF", "[", 
      RowBox[{"ndist", ",", 
       RowBox[{"{", 
        RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], 
     RowBox[{"\[DifferentialD]", "x1"}]}]}]}], ";"}]}], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"mt", "=", 
    RowBox[{"Table", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"x1", ",", 
        RowBox[{"marginal", "[", "x1", "]"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"x1", ",", 
        RowBox[{"-", "3"}], ",", "3", ",", ".2"}], "}"}]}], "]"}]}], ";"}], 
  "\[IndentingNewLine]"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"g2", "=", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"mt", ",", 
     RowBox[{"Joined", "\[Rule]", "True"}], ",", 
     RowBox[{"PlotStyle", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"Red", ",", "Thick"}], "}"}]}], ",", 
     RowBox[{"Axes", "\[Rule]", "False"}]}], "]"}]}], ";"}]}], "Input"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"mt2", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"x2", ",", 
       RowBox[{"marginal2", "[", "x2", "]"}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x2", ",", 
       RowBox[{"-", "3"}], ",", "3", ",", ".4"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"g3", "=", 
   RowBox[{"ListPlot", "[", 
    RowBox[{"mt2", ",", 
     RowBox[{"Joined", "\[Rule]", "True"}], ",", 
     RowBox[{"PlotStyle", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"Green", ",", "Thick"}], "}"}]}], ",", 
     RowBox[{"Axes", "\[Rule]", "False"}]}], "]"}]}], ";"}]}], "Input"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"theta", "=", 
   RowBox[{"Pi", "/", "2"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Show", "[", 
  RowBox[{"g1", ",", 
   RowBox[{"Epilog", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"Inset", "[", 
       RowBox[{"g2", ",", 
        RowBox[{"{", 
         RowBox[{"0", ",", 
          RowBox[{"-", "3"}]}], "}"}], ",", 
        RowBox[{"{", 
         RowBox[{"0", ",", "0"}], "}"}]}], "]"}], ",", 
      RowBox[{"Inset", "[", 
       RowBox[{"g3", ",", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"-", "3"}], ",", "0"}], "}"}], ",", 
        RowBox[{"{", 
         RowBox[{"0", ",", "0"}], "}"}], ",", "Automatic", ",", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"Cos", "[", "theta", "]"}], ",", 
            RowBox[{"Sin", "[", "theta", "]"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"Sin", "[", "theta", "]"}], ",", 
            RowBox[{"-", 
             RowBox[{"Cos", "[", "theta", "]"}]}]}], "}"}]}], "}"}]}], 
       "]"}]}], "}"}]}]}], "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  GraphicsBox[GraphicsComplexBox[CompressedData["
1:eJyFfXdczV/8/723VCIjImQWkV0iq9e7yAzZo2RvIUUhs8gWUjJCkk0oQnVK
IQ3t0tDee9/bbf366vt6v3/33N/n8euf83je1zmv93md8RpnNXTz/mXbBDwe
75U8j/c/acefQhCmw+ff0Jh/Q5bFC/4HavBZ/PejRdpHiyaCeMS//HUszvhH
L2Vx9j+cRiS/4+ePOLGDDoj/dJRnsXoHfxandnyfxfM66sdI5pdl8f+mNGbl
pFOUFzHKixjlRYzyIkZ5JdvRzx8xyosY5UWM8iJGeRGjvJL5ZRmq32gsJRdi
OkV5EaO8iFFexCiv5Djx80eM8iJGeRGjvIhRXsQor2R+WYYalzSW6jdaLsR0
ivIiRnkRo7yS88DPHzHKixjlRYzyIkZ5EaO8kvllGWre0VhqXNL9RsuFmE5R
XsQor+Q89/NHjPIiRnkRo7yIUV7EKK9kflmG0is0lpp39Lik+42WCzGdoryS
eszPHzHKixjlRYzyIkZ5EaO8kvllGUpv0lhKr9Dzjh6XdL/RciGmU5QXMcqL
GOVDjPIhRvkk88sylB2gsZSepPUIPc/ocUj3Ey0HYjqVtD9+/pL2xc9f0r74
+UvaF9aO0VhKz9N6kNYT9DyixxndD3S9EdMpyoMY5UGM8lB2mMZSdorW47Se
o/UAPU8QozySdt/PHzHWAzHKgxjlQYzyUH4EjaXsLG2HaD1N6zF6ntPzQtJv
wXFTB5LtXsfKgxjlQYzyUH4QjaX8BNqO0naG1sO0nqLnNT0v6HFF9wstF2I6
RXkl88sylJ9HYyk/iPYTaDtK2xlaD9N6i5739Lyhxx3db7RciOkU5aX8WBpL
+Xm0H0T7CbQdpe0MrZdpvUbrBXpe0eOS7jdaLsn8XCo5nqX9dtqvpf0+2i+i
/QbartJ2iNbjtB6k9Qg9D+lxSvcjLSed/ss+Xy4IU5Sf+p2h6FLlMB9Vnvmv
lOZDl6Pr8R/1Zv6JpyEfRKX/v9/ZFL9D56N/p79PfwfzU/Qgig/9XSb6X/9F
gN+/bhcEDf2XIY/FhR100oFbiWT+ViKZv5Vg/o7YWsTmR4z5EWP+jnFdzeZH
jPkRd4yvaha3tv3Pn5DFvh31YDHy1+zgw/JHjPwRI3/EyB8x8keM/DFF/oix
PGIs/1/l6BTLI8byiDumq4Chv4ty4e+IsTxiLI8Yy2M7YHnEWB4xlqfzY72R
L2I6RX6Ikd9/yU3Xg+ZDp8jvv+Sm5aDrQfOhU+SH+gD5IUZ+iJEfYuSDGPUv
zj/J+YB2vZqlS+JW1s+n5yPtZ9PzmfZbkY71R4zfw/mLdHo+0348rQ9ovxjp
aF8Q4/cwP7Yf/X2aTsdFtD6g4wpa/9B+Oq2PaL+X1k9Ix/ohxvohxvrQcQ2t
r+g4Aen4fcRoj2n9heXx+4jx+9hO+D3EyI/WZ0jH8UvrN5qOGPOhnPg92o+m
5z3SkR9i5IftguUQY3nEWJ6Ot7DfaDkl/V1Ov2G743ig/V5aTyEdv0/HR/T3
aP2H7ULrcfwOHVfQepb2w2m9iXSsHx3f/JfdodsZ60fHA3R96fiA1udIlyzH
Z/UlHY/Q9UEs2T+cv07LiViyv2TZ79H+P+pr5I/+FPJHOvKXtA98Vt9LzhfO
36b1Ox2X0/oY9Te2Hx3nSupTPkPPQ9r+43ewPrQ9p+cp8h30j54A/H/fEwTV
/qN//V//roUgncbO/9qjgWD+z/+qVcHSETf/q0ch0HTjf/yyyd7/+fljoxRG
vtf/fYfHIEY68sEUv4P5OpqphqUjRn40HfnSKeZHTPOh82GKfntIR33gZsfv
QYg7xkMNQYzt49ORsnT8HmKkY36njn5g8ZyOdvzf8VPEtj9iLI8Y+SNGfohR
PpqO/dUxjlqk+k+ro13Z/kOM+en+xHZAOo3p/kY5kQ/KheUQY36ajnIjH6Qj
pvsZ6f+as43Pjh/kh+2C30OMdJQT+SMd+wcx0ulxiHRsD8RYP5qO5bC+dP0w
H8qBGOX8L77/lWJ+rD9+F+VDLCmfDNuOdD0RI38aY3nk36HfOrF0xFgOMcqH
+g6/j/MT6ajvsD6IMf+BjvZlxx3qQ2x3pGN5pEv6/zXsfEA6jhf0T1Gf4/yW
jMeLKP+em5+0P0vT0d/E+tL+J85ntBv0fEW7g+2LdJSH9kdpPStph1pYjOMD
5ZbkW03phWqWjnJJ+hc11HivZvnT/NB+SvpLnH6g/Ud6/iE/bA/Mj/yxXbE+
iJE/7T9iO+H4QozjHdsNy9P2SNIva2Ex5qPpdD/R85X2kyXlbqH8xRY2v6Q+
FTCSeofD6K8hX9rfQbmxftgPiHH+Isb5h5i2pzjfEGP8ieMJ80vG5zUsP3o+
0fxxviKm41csLxlPF1HxdBE7n2h7LLnu38LaW6RjvbG+dPyE4wrlxe9ifsQ4
Dmi7QO8P0fYFxxP2Gz1+6fgHy2M+ehzR9pG2V4iRP9ZTcr7Q+x0tVJwlbTdp
uy8pD2d/6HhF0u40SZX/l63dP8R6Stovzl5Jrqfy2fVeel8Z4wXsTxzfmJ/e
N0P7gvLieEV+aA+QH9oDel0A6ZjS6xL4u6Qe5rPrnyg/0rE81hvL0+MG6f9v
vchn240eB5L9XQ20X0/HsbRfj+Wwv1GPIsbxif4FYvQfUB7UT2gfaIz9h+Vp
jPoG5UKM8tD+BY2xv7E+qF/w+zTG/sf8qG+QTmN6XODv/5Vi/2M74+84b2iM
+ZE/tgvmozGth2g9QttRmv5ffuz/Wy80SuklGuN4o+0o8qMxHYeg/pHUmzKs
/kD7iuWRjuVRv2A9ECM/xCgPYtT3OL5xHtPxLY53yXi3lVq/bWHXS3H8Yzsi
XXI9t4UtT/vLqN8k97u4+YH5kR9i1Ne0P0CvZyMd2we/J7nezs0v2p9AfSu5
nlLN1h/9A8n9tyJ2XNPxPeZHPYd0lIf2P/B7kvEMt/5Nr8+g/sf60f6G5P5b
i9R6Na0PJNdtW6TiB6Rjfsl13BapdU3aT0U6lqfXl2m/GelYnsaS654trD8k
OX84O0L72f/lF0vOR87PoP1vnO8oF20nkS+OB3rdnLZ7SMf60+u/dLxPY7o8
HQ/QctHrw7QeQ0ynyB/1l6Sd59YLEGO/IJZcN5Fh+dLxxb9qs+u7Law/hvVG
jO2H+g7bFzHWF/UftgdiyfnXQu0/tVDre63segLqQ+RHrycgxvZFjPKjvsJx
Ra9PoH5DeWg/io5P/8vvktw/4Nbp0F9F/Yf+KtJpTOtLOl6i4y96vw/pkuvt
nD+E+ZE/fU4M9S3txyKdXs9EOubHeuL36HmLGPPT7U7PW5pO71fR6wJYT8l4
gj5H2UKdQ2yh4i3O76XnK31+jNab6B/g+OloH+68EU3H/sZ5LmlP+CzG76P/
Se8j0n4gvU9JrxtLzvtq6txXtZSewfy0n4+Y1jtYjj5fRudDOsqJ9ljynHQ1
62fjeEaM9hrLY4rlEWN+HN+IsT2xfZFOn5Oh952xPJ3ScR7+jvqKxpj/v/bN
Ef9XnEH3K9Lpc0LIDzGWR72GmI7r/8vP/q99c8T/tY9B2z0c9ygnjjMcv4gl
9W8nFqN9wu+jPUF5UN8hxnbA8tj/iLHdcPwiHfUOYqRjfmwX5I/zgh4fWE+k
03EkvS+M7Y/t/V/r0MiX3jfE72D7/9c6k2S8w+3DS85nAUPrYcl11Bb4B2+g
/9PGYkl/klv3wPkvuS4uw0jaERmWjvWQXI+WZeh64jjH8YF6DfWx5HkQBVbP
YX5sD8S0HkS6pB5tYflJ7p/wWf8I7T2WR4z1loxH+CzGdpaMZwTsuVhsX9o+
Y/tJ7vcK2P7p6G8Ba4/QX0OM/hSOc/SX8LuI8bvoX9HnEiXjpmp2XmC74Hii
2xvbE8c/1h/HO2J6XQTlpeNf7A/EdPujvkA+aA+wnyXPxXPrBPS+j+T6L7d+
gPLh+JMcn9LzRNJe4vqbDOu30+f4aD8E2xfpKCd9ToSOE7D9sd9QPjo+o/ng
eECM/g3ylfRH0T8TSJ0rkZxX3DqwZBxTB/xgV3/tvrHEdutGn9WN6ayfZ3jm
3Qgf20J2XGG7fDLcFOFkKQTTY5dU5qnUgnLx9kjfqkZIma4+/nBKJVhu3Bt8
Z1gOMTLN3nXmkhAUr9tqhf/6CY0HB8xK/CYE4aAb37qujgKhfLKdaZoIxk/N
07qRlgN2K+75f9TJhXrXUSrzD1VBpXpiRJEoF7I17A8ZWlZDbaNxbGq1CJbf
Trb5pF0F/TU9l+xVErIp1g+q3qZ+2pZHet24Pj/yQoPUOSvz60vijA/EQXh+
deKlinQ2TbA99l5Fl9svxHFx/EtUP/VeNaw+t91VZjajez0s3KedNDq8Eoaa
djG3g0Y2fvdRsjhzqaQRRo7x/PW0SybLZ9hrW4U3pWUsH6Mp8YtLd4vAL2XI
w87fUuCY3PmFZ7rlwMlGG5/j1eXgsF/PwbKgCCLLxsSUJtZD9GNX6xfDRFBb
Nsqt1qcO9lxe4bRwfxb86RTjN8e3COzWJwnfizLB+t4P7Z/JBWy8VZ/0Xnx4
cil8655qovMll62n13WtXlmQxcZpXQ9M6PO3VsTWl2hXt7xUaASPN9ZDHj0u
AKOcPo6kZyMsqIGoKQuKQfl0pvaSFBHLb6vySJuw7yJ442kctK6kGlRWTQ3R
nyyCrrVrNima1UGPt54ev11FMNiKt7068i8M965zcejVCJp9V3cOci4Hhd5y
p/+cFLHj7/221fGW/bh4ZsZk4Sjz0SJ2PNqnbVW9yKTDEZc89x3rLpKrn07y
yvZnsHZe63urbI9X6XDqWfq79eNT4fCoZyem3Of8+Yzhy3+c6FTP5p9trtrT
MrsOqja4Q0NBFGlUm396rKABjs60iDBq/UjgtUb2qKP1wHNJbfAeF0qm7HUU
Fmdls/P7fMh7xeCXOdD725juP6dlsnq6Wfjpjk3fbOJlP2OSX0s1rLWLclwc
l8Hdh209UHYksBFG6adkWRk0sOMjYtODUr/b9fBUVennfrlGWJ6fl+S3PAt6
PO7ZuVkniUw92EMhcnsmJLusvVP1Npas/j0zwlcunR3vD80YGFWRBl5+K44a
dzsFrp1iP6fdTQPjfk8HWfSMgK/TH2rMGVgAV1Y5aBjL55KRUW1fpk4tBZsN
GrKR6zm/d97GQd1TyrJJ49fMzKj8XNZ/s5zu+rXoci2onjo9RXdNMjFY2Xbm
WCSn71D/XbY0nTp+bBrRKzDzs6v8zMbvB3zfqy5X/yO1/1T2bvnq1fk15Ilr
msrQ4o+Ejs93bP9z1ziolpyovd1buVzMxuOBtSGLlha3Su2PXr7Wtu3xmBIS
5xyb0rM0lq2fcqaR8FS/VKnztZFna3+s2VrC6unGp2B8cH4xKak+MzZ1Nncv
rMf4ISfUI3ms/zD6qYbX6pQotv0rDlWtP3Q7Uer8wvuiyAnPAlOI8KbPo90Z
jdR6Jp85xUSPV1oZQwYVLjoyYzEXh76Ouv185sEYdn6siljQr+xtEouNHEIq
zITcesHKB9Pv3fPh1gtmL0yrWrrpIStn+JSRWVWZiez8itrWr/sCDzGL7wcH
VAzqx8Xlz74vXVfsm8ytH9T431/RUyy1njDrd6HnsssVEPLys+riZu68a8iW
Sad0ZnPnfOvDf/6u7ypm8fldlQvrSqTXG1SnmlusPc3dp2u1Wqo+SbkFTvVW
EckGlUjdz6o7POvs1i+yjMf31m39y0uk1g8KFU+PuzqW2x8VaMOmj/xOjDCp
MagLSYY53axe7bjDD3LSbbh3d3cx3Dv4TXXtE37Qjal6Z3UevyPW04J7lTg2
k8pxY3TieqZCkuqJTt6hTWSoi/OpPSbFoDc39byZXTMJV49ljhkkQ7HF1C5r
7teTmAaz1TXzPhDflWtHJCaVk6FrBl0puJsAU7bfEjxIavdHp+UGFiwTw4i3
Z3qvflxOTpc+NBhqlgq6Z6YdMj6ZTuQL3eGIehOMbXi24LVLOvlp9Gk5ceAx
1kp7Z2lOziLvls1541+eCF5O932K2nxJv/0xBqFTkgDThE3VURFuPEZXJ4Fv
3zcZ1BZfjGNmeZLGnka/z4wqAcEws3DXe2IYeWXBZ9uIYnj76KamrCqfOVQ3
auWJ6aUw6liTu+vjRJj65dDK4MG1cOSM69bSuWII6e3/+vjeWgi6uipg+9A0
SCwrjPdY1wTTD/+d0HZMzKa1Q4IULGt5zIQEz3XWXZpA4e41A9WaRtjgoNv8
bTuPcTiiWPTKlEubShS/lI6vhe53Fu/vn90eN4d1G/D3bgB0UjPe+GEKL2j+
8X7qs8J+kMmOijZvnEVEFWbctRjS7meMkxv5/IKIuNQM1LUwyAP/BCOFG8lC
8nihzMpVUXFk1RuhYOLuGlLxlyno3voTto8N13S8UU3cf27U6/EgBLbWfbMO
0KoiFtaLiKJbNezvSEnhzu3Xfk6rhLKOlNypGTlA/Z0IChwWbfVNrCaRw25Y
R3g2wITdFse+3qgkt9aNXzOjuAW0TtqWbNRu51d7xaq3y1diJWoyrhMXkgnP
bXOfH/4F1y5f29y1Rz5RNe502dsmDI6M83P6mZBLIrZp+0UPyIHjY2qcvikU
kpLLg78XfK+GPfrn1WoS8onNjdj8RqsGmKRRuWbli0Iy5GHt8i86jbD7wpHI
gMYCckYxoGqVuxDGm3eVE/7OJe+dTbpfrGmDYa52iaeDCsgFzeW37Ue3QLT/
6UJr7WwSe0LUzXBKCDlhUx2vEhdLPmytcRQuDobTDtZ9p/+II3v13GI7K8eA
bUdK/g5yH/1mVBDUd6REp6HbZ/4REVzamf84VDealHlW/HivI4R1GTnKi7p8
J61fPRiXmlYYN+rZqKYRkeTKjb05ocnB5FBHCjN2Dr6YYRzEplsn9a1V2/Qb
pk0NDTE5GgZvMkue3P4cDKI5tudLnOLgoqvWdleRCA6KVV80PQuBqvP2mfvm
tIKn05shQd9/QJcRZEuyDo+56Pj6lVnfQLD6qKwccaoVcg584Eca/oa6KlMX
I10Bczj4vaVaURxERR1dtWd4PKlfMmECPy0b9HtYCPYHxpJzW8orlF0KYFdt
kmv3TT9h3u1XywdfywXtau+01nZ7MkP/lsUnmxxoXnXE7Ne1MOizaYlD6Px8
uBJ5dfDe0y0QI9dYb5SRDQXpu79rn2oDsttKnsxrt6MXow0Hh7dAbfcXXQt8
CuDzyH5LJt0WMGN1L5zdcjYXTGa9G9DpuYDxq5l2vdQ0Hy6sHqTR3+YXMfOa
9j4wvwrsFt9LOcEPhZnbSuZ1mVIFLxtuKt2+Fws2C8cOVR9dBd7Bh8/bd/8J
ZQfsP6zxrgZy9sHHbPlWWPqiaJ7c0irIsz7jHSNqg36Xji8ZL18FZiTO9kpT
CzxixjoelK2BGWk37mwsFjAzPvmefqVQDQ/1rvZ6WBMEej1kNe97N8BGxb4K
k9zjgKnbkTLqRwOYDnVNvaP3A17H9T/12EsEs7rOvpW9NRuuZq/RM97VANNs
VWcuWVAAlkX+tc3qQvAwTAo/65wL+jIZr7JPiCB24bRZ6x82wmif7/4eGxqg
i8qujwK3Flj+9Eqbc0ADHFQeu3Hz2zYwMH2zqssYIcgY990cUSVgtsw6/3x2
ohDWR7Zd2HErHmwn/nobvqUFzoleTqz7GwQkrrPchz485uvlrZ0XfqsBQ6u7
DT4zW+DqOKPLs3ZUwf7YL1b+t9vgfrdh6cJkIaywa7mx7UMrGHSzUd+xkEsb
s7aLIq63gF7L0y+OyjymfFQ+0XwjYDQKKsKy28fVxNbmyj9uAibI+PZsV/M2
sDZMifdu7+cuY157yF8QMMfcvo6qWp8HD/pdr7cvEjA6p+TL8mZWQVDDrm2h
i2WYpdufBATHtoLsbuaLa5KAcf6+Nd72fSv8CHYZWVTZHt+19HQ+N4RLnT40
xnWdkAcN8996fdgkx+i0vf/5PKAa1Cr48bebOzGvD9a91/4rhOL1IaUBU+SY
5R9sX05dJYLC8Mv+8oPk2PWjqi1fj34p4AWp93bZdW1fDfyy8drjq8wLQr/E
QEE0z21sK6nxgsDLeg/Z/aVfToPHzLGpAftWcc6HZY1kbE+vjYlnK8Hk8Lgd
a9wbSHCXBsdH7fHE946U5DxRPmzOj2Xvh6Hffa2T2iSb5gbWz2mcvOL0k6Pc
/vqltaNH5V8Ssv5yt7Lt3e1mCUlbj1kXI5JqpfbXHT2ehPf9Uk8WN35Zu+Y7
t79+puX3t0/dHrPr4RMWrXS2t06ROh87M1fH1GBjFev/ivqYFZX2LSbNniPs
pz+sl9rvHrRx897ZBuVkes8Ja31KhVLnZb84zinbOIq7/zXy/VAj9yecfzoo
xkPVZGQmaU67NtkjLZFdD21YmNxYqpvF4iddQ67vOxjC+p/2ft8elXatZ+nO
CcSpPog7f7tX7vaj/DPNLJ6/8Myx/SrcfbCEwmslUWncfvvlGN2jc74Q1h8V
ripyVT8tZuOjm5qeywIuNkvdkyrpFqQCOh5kgxJfregmd17X5oj/7p5LuPVY
gcZOL3v3ENav+zzp+zuVeDEbjylXmuzudbaZxXMjxujHjpPer9/6oLDxmCgJ
RP1V/hZs5e6DbUiCl+riaLYfsZ5gnikSrqmElMTTcdPfBkjt539bufyC4tEi
OBWjYH+kgdvXEu1rGuYWKX2vSK2rV/+mPxXwbdCiyoNbXNj4F+uR+Xju5msD
a0Bt9jkPvkwqSx+107i37e4sqftkh6zXDSwzqIUlP//6D9qdK3U++PE7LW1j
73qYNvfwCo/x3D55XkXFoEF/uPMEvw+0jv8R/Y7tF49FvVv6JHLngyfmGVjO
efdX6nzwnfDRXzcoi8Huiv+vZYMKwHHhnLydKq0wZq+2rdm7HBhv1kUpL6KN
rbe1u5dS8d9miLORcdA04ta5E7vyqp41Sa9/H/B9O+T+aDF08ykwFPaTvn92
5MODw00qzaA18rdQJ0H6Xtb2cctfxN8QQ908c7WpXklsuSKHwMk3vGLhnO2X
v4fXC5jM192UO++QPo/w/Lj19g1nuXOm44ecD3kynTt/93FW6rGwF3xGVu1t
vlBD+j7aBXVR8YANfMaozw8fgSl3/0zksc9tUkQ5dz/4hoe5lbxY6p6f0sBZ
H3qYyzE5pYEvU2Jr2XW5nVnLZUtOc+cHBpo5l0w7z90Hw3oo9qzb/TOeW3/X
L05443iJx94HSxo53G/ZmFZyI3lK68x2fUjfD+O/8xsXuE5MkgrDcgUCodR9
sTlejWmjNcTkbFgnl3RD7n7YeB3BgGWtf9h2bMjYFT3+Zo7U/n1clP5P/8Zm
OLZh8k6ndb+kzmUeeXTgUIA5nxn6pM2zXuY5Ub/VfPegWRXZc8ktcH5sAmR2
y5SpEFcQHZFd+mr1AgieNr5csZ3+YNHxbkatxfBm/avNKXuryIkl/e3sA+JB
7drGgfVXs8n8ZD/BBaN42JwyRU/7RBbxHfer/83lYvirN/8x3zyHXHnyeaZ3
mAjUFq2Is3HKILJRA68d79QIXxef3BxuEEKm9T3tNi5EDKWfFSKt+/0gxWty
5kbvbITAq8NP1F3+SK4eHjfpk6YIvOdN73snzZ58ePeyKV3QBiKXUp8Z2uHE
3cvZ5ua3Nlg7ULOvX94rkhbc5VCgWyOk5uQbJA5MgL0Jmg/aqsTAhN8LOLA8
GjZ9+33IybMRFr7Wlj2UlgB225cKX/dPgJdXN+zSDi0E4/VlXut2pUB+fZy+
jXM+5K+98fL7xShQvrpV06qgBIpf+4y5NCsBXKIqmsw1i2DQBJ31WnE/ydDc
0j8yt6thyObIZ5c7h5KLg/QzQp7UQreE72OSOieC+OJv64sBNbDgyfkAsjYV
Xibd7+G0qxoCeZ8re+ZEQX6mwreAWXUQv3jiE/+2NthudXRK9rwaaE3y3/mo
tg1SM70PqhythR/58nfdfJPA0Lqfify4RjjnUNVXdvNvUF//V2ds9yY4EPi8
dVGIiE3HrRtUmzeuCV6YLSmK1RdB/M2pFQsutIHaCPMpf1+LIGTTwl5b2uNL
+U3v95irisC0n/vTJ13aYFKXlyUnZjaBv3dEjzlfa6D3HAPSYyqPCdQX8Izq
akDJ37fcbwaPeTaghl/iIYYChdVO07zaQFP33J/zA3hMpsemaw0NcoxyxYR+
VlV3Ye/ZsWsch9URw5Tpj24KgsBgnPj5yXkVpCW7j67fpApw/hBgEzauligd
Fi561q8S8ix3CS6Ja4iP3V/zJy618LEjJeNK45vn5paDflXOgZvxlaQodFNv
2ao62PWm69cxo8rIne3z+EO/C+Fpcfof69xSAjWjnzXsS4dRbt3q+5SXEMUw
d77QtAR6dKRk1K6VBZPHFUCSy4t+v2KLif/DMMHUpjIQRyr7TMoqJmrpJXzD
u5Wwe1/3hQmkiOw9+bxqgFkt7Fe/Z2XGLyYXrtuvb6oVQm2KtcvrlaVkW8nO
KZorG+DlJVjQSbWIpPa40H14Rh3c+nNSzNPKJ4ui0tXWqzVBaO5Cc5mI9vqo
uWqXajeAwemgC4NFWWSdlYH237Q6CNqgpSzvnE6GXrVPqc6oBy3y9otQlE36
dEu3PqjdAu/u+FbHKmSTzS89Mh8tbQLeBYOyzS2pJO38kTyPqEbIb73Xtr08
gfAHGo9yLWiERMOZk9fFx5NML+crFmk8xtW0otVJI4V8Dv1cd0ylBWQzgpyX
2n0h3/P6fXxxswlGNvRZVd54hvh6t16L7dQCmjERFt/WBhAjC6XO0/XFoO0m
OyJA+B76bl0xXOQmhk9DHmsFR4dCUl182fSFIgjSbZnU9PsGTOpuP7D1dRNo
9Fl1NqanEzDB385oZ7SAxVUV++1P3wLfPG7Gw2XNcPf4vJg9c0JhzoHel0JL
m2FEbJzaqUOJcOzRlBCLM02wtOucGWn902D9KB2ljZHNYPkkctKpifHwQiVo
6ee1ycBbM2Cbz+lMcG3dLxNq8wcEFjf9lvTNhX2HXrzoI46BdJNNqjXeGXC+
r6d2ienddj0tGOsyrwxOf9SZnKsRDGWT/UNL28phasQsudxB16G/fZeAPllV
oL38kk7Pzsnwosj8beeH5TDnt3PnS9tSQGPNmxWOHlXQI+ND0laNaHjGwLrN
pmXQ2/VnaVk/b3gXnbjyhVMtuGhpFo6a9xDcI9bfjveqBhcDk9lDg9JBrzmj
e1mfMuAXHfgcap4JLd8fxy4eWQVTvmdHzlTLgEtGujufFtRCehkEjd+fA/wB
uw76n6qFUwdW2Ya022/RTK9BNbdLIWzF6tKzlW3Q6rBtduGtchimkebrM4HP
HBg+fKHs0TrQnN7reWG7vyKXx+88c3o1LG8penRTOxA0D2R/T1JrgDX644yH
vvsDhpqbz+8zqAed3zUmlpdjIMlo0/03c+vBS3eiyUOfY/D47MDpgmVNYJOq
qaIzJRtsTs0dkwANoBWeMsE7LBfcz+9zVxHWQcUCkva3KB1Ed0ph8iMhKA95
59L5Rxacc676Mbh9HO4Z/lHLs08WtHqeNM8b3wj+N3osSlrcBFlpHpaDs4XQ
9mje8j+vGkG9NNVmaDv/0jB4kpfTBJNMt1Yclq+HDM8PDv7vW0Dc88sq8Zd6
uLg16UJFfz5j77nltF+ZEFSSSkZe/tsG9u8euexwroctQrevtjXNsPSwQVNd
USPcVM3vPk+xBT5tspl0/V4j/LDsWXmhvb0GK+w9oPeiDiIezn7z1SQNzJo/
edVbN4GXi3dt+eA4eDG8zK7JsRl+GM2tu9dYA2t2O50LNmyBQv60+qToMnA4
+c5QMZLHqPJWvnnwuh6iLSZsU7rQDE/0b3a6N59L1zEWuTrrWuDOMYsN9Vt4
jOwue/vIXdmwZMFOy3cV7f30+/XOX0lFYHc54cmicD4zwafzixcr08H2V+CL
BYdkmem3whf6impg5t7zumbVfGav1fULKW9qIFVgWuxbzGeU/7ypjZFtgKCU
9xOS/vKZL4X6vD7dhbB7UKf58vf5TE7XFepaOs1gHNC3fKEjn+nf71nlqFvt
/r27iNGslGGsrzkUiXuXQvMN46G2z2SZxZ0FOTHdm2H9wXTNVbmyzLG7D9Za
zeczq5Yp6Wp9kmVWFfRec3Z7GWiZLy76vpkfpLE1PeX5uTKwV3qyboK4iXQz
zJk5uKwewt4G1F3+2UwOZuem/lYoB9+S2TxrbSHZE71a91NSPezvSFl/KfCF
0udXDdXkmVZeaMGhSvb8n1x4YITYsQmWmeX2vvKqjoQ+PbL60qMfbDz4MGYJ
bzLkSt2nvLjpaU5xSwGZPNN5b4J5FUsfa1moGTi2no0XcR889EbnS/nTiojK
m6e2L025+9Ols92zkvJFLB5dqlg3YbNQ6v6luX2XpwFfuPuXZ+uf77edn0P2
LylVu96uH+n7mJ6brdp253gQ8cOjVx/14c7FOMyJHrG3B3e/Wm/CydE9vERs
XDXHt8h/4T0+84koVJtVvCa7X46X85nDZ35r+CveXfiLmOqvb3p6n35PsqV9
vn2KHFf4kf3+1OCnTVOOteu1vIRpNjrcvvi8iJqHllnNLB5n4zK+dip339Nz
0NbDMXu4dykObDH9ILsinY3f/rp+yjLNCWP7Ye9kQVVzyXc2jhl/4EU3z4Nf
iEaV3TarqQ0w5sXtqbnGn4nZoe2RE/c0wOLT66OeTUlkz+G1GQ+PKDmbzuLp
3SoO98qPY/lhPft02nfe2py77+l567djpx41MPTnttVP6nzZeA3PW+j19zSX
dayHGhvxa9vF4Sx/fa9zX1OWZbL5kd/JpJLxjaMbYGLG552rDLj73+F27qEu
Rvksvn3xVWhLGxe3/b35/iGZwO379y4p0112NlTqPukA66JW9WQhOMtZ7jnS
I5fbj9TYM53RCmfPM5lcWnXr7aEycDc+cuJLsRhmJqSpxM0vBs1nk/Wfn2yG
gsYPUdON/kLBr7QXj4p5TOPEis053bn7pGcSX9b22Ch9zv2awf25f/o3wv5B
t3YX3Gtj6QWjb2dtvdjMxh8LhxQG9HPPkLofOtlc986WeC5O1npspXakvR2G
TLv2hPTm3oc6o/ehtOvtZur8eQvcsIW2dDces7vWxHrJdO69qKhj5OmrCO49
qFWhzo/GX2umzn22wLHAB/feT5Fl3p/OOXRRxL33hesDS/ttPBriXww5eqtO
HHFIZfffm7zfaFn5xnHnoFPjlCY9avf/mdZD6/j8oDmPnS2yesRBwezDd3VX
i8kvqyhDV6NUUHpsPP7Ovmpy7cPj1NS2GFDrtXp+56BactxBkNJ9Wh2YTT/g
8+OpkPiXKN5fGlkNdx7Z2ipMqydPr+akl52poc7P1oC12it3i7l1ZOuSU6s1
j7iTczfPFBx2rya8vy9aDDUXs+dHl+047HJ0fzIUVSnN3XG9gGjmFx7L6R8D
rRNXrvgwvYS8myN3YO5yIaRcu+3slF9LHDMsvb0m1sMbTdnEypBqEm7dp+SL
eS1kHVs6UCGnkrj0bdZ/5FENR4LVfibsKiPT5jUXxw3n7rti/URz3bMuq5WQ
blmDwpJFf6Tuu6osniYfLswnp2N9VMKCalm629QEckSvGTwXbyj/rVlAUju5
3TJX4+6/4rgOm2PqcN83kRjO6/F+9IhWUBlqEPbm9h/iklCR+25eM2xZ9vXa
z2Gx5BCUWh2dJJI6N5geMCGi5dh9UjLeYLhN39+sPsL55d71/fyfgUVsOa0d
B9sctlTCAfMLOfP7WLHnue60He/3yC6YlQv1cGdTp6+hTfUw+fqktKWpv1n9
UOlYPPtzlICpX6T7+LxnKVQU3zoxut3/asoxyNjQvRp4lQVRn0rb2Pw4HuUr
Hmz5GtIAh26ZHZVxSmX1R9iIKl2Zkmh2vpUPKiANI4qhLiJEaaN6I1z1Mgye
NasA1M+rXJl6Sww/u4+aZnaZuxeJ4/rX8mSLQ1+5+7nOBz8su79KCB6frQVF
z7hzlCWrxFk8gyb4obTT/9ObVshXnhAfsaYRgn/df3PmBzdPx/TQ2GL4uN3P
sD9k+U2Tu88bv+DUUseFucD/2BDat2czmKyQebJeIQtmTdS9+6rdbzOw6JH+
dXIVZKednnfFtBnS3btdfx1QBj6NimYHdVqhfMjNp39mFcMLv7AYs6o2iLi+
fm33B/kwMKj668ZsHrNa0b23q3MBWw+Ur0Tveqb1NT6TuDxgq72oVuo+8LVe
piYRi1ohOed7gH4ldz+4/0SHhcJAMSS9KKhQchAwi1pSf183FEFljxsT0oz4
zPxS8feyQ1Xwc9tnxfxjfIZvv8+talcZvJpmOnfDPQFj1GAyd8XV9va+n2M6
J567P6xzMDrfqoK7z3LwwoCe/jwBcz/Xqc71JHefuCq8Kv+zm/T94phdkVoa
vQRMErycYX6eu2/8nbm44fS5QugrMKyuNpRnJkZob5wdzGOOrl/9PCm/E9O2
YFLq/Tqe1H3j6L5uQ/fVcfeNW27KdQ5LbyZTjv1661cZxp5/LDC6GMecCWXX
8w8+e2ve/e4voqO/s8fL70J2Pf5Jw5fWn3kcPtXs35qZUksUXxl4nh/YyK3P
Cx2vm51rYfHHmuffP5Q3gvG94O2D5lcS+/nKlj3Cg7hz43/09usrPmX9qR33
ZnS1qQ9jccFwg2+LRwaTQo25gyp5OeT2y/m50z2CyewMMvrLqCyyf+/vLlkT
Qtl9DdvnVkX7qnax+t9k9E+ZoX2CWPwxr3iRmmUImybF6jOVY0LI1PD1k6+d
9iZ/AlIMuw78xp5fP7/2tbrXjIusv8OUzendf3YQi21DX4UW7SIk4Kzhixk3
42FFQO7B728Cycfw/eGXNyfCvU3T3BOseOy63A/3EXVzx3LnxrOdx9rPs+cx
Hj/23R8VHAc7Fxa/7tqlDRSYyW3T3qaCYOKXnfwbvmy7z1S7eVHd0pu1V+dM
oqdlhv1kcU+B41bH695k4yj1nkc9C8C9i0Xf/fvELF2Q4PNOLbCFxXJuFrPa
OjezeN3R7XaKp8Uw5NvDnEd7CuDdsCTlVQ087l0vpxfm45+0sfkv8LOODHjB
nVuWixl4bvPTNghV6huirVUAs7NfbkhoLz9R6VA4Mz8fvPUGbYuLboOsIUUn
yh2K4d67jRtUz4i5dyZLX+cdVeLeLdu7xnLmOKNmFh/opd5z/k4xvNfd34un
VQO9F8/R6v2Ix67b2n43bHr7kntXrGDh8cPJ23jMjJbebyzHcOvP2haBGtdu
yrC4h/LMaTk5ndh18g4/SIbFA3dGna3QkWPinz3o/vVRFnh+d5+4IJMfdHT6
pozH57PBJ9H7TlMBP+hd0NtxNxwzYMVUfe+xk5pJ4qo96c6DckBmwuk2p6fN
5PLu/MIqcTBZ9rpZzRzEJDc2d2jCAl+Yc857e0NBPfmpuWrZD6XP4HA/9Y76
/gZSk1Q2fqB6JjRNydrtpSwkltMb5SfHZcGwfpbJd2VryYCVa+0VWrJBPbo+
/tncWmJxw/zG7dZiqP6oyPuSWktsEjSU61Ly4ZjMr9dWFbVk8xKdx2s/N4G7
d6SZ15w6sszJ7ZJ8aDN822PSmHO0hlg4ru8RfeUr6Sm+LycjW0SM/9jcVZz3
AWK/tjr6yhaTgKmme+7w3sKP5rkRy84UEP0xLfyeK53h5YUrpfIf0slp95iF
qd8ewwxIPDlgVS5R1Zj83GR/KMw4daGuuCyD/Ij+a6QhE0JMQp44WeglE6fJ
zKt936/CCN8u2y/ZpJKtw/uOfmD9DUbvM5QZXZ1EXk/XvLf9lAXkLM845Jcb
QY7POaoU03kHHDf+l5LL6ReTgwfuhl2XuidApwgiDF2YWfmHAHl2Lfm44BMZ
aXi9bd+Ob2R7sd+na13fQ79NCmZmLjvY9JBnD9MuI4PgnsYX3upLH6Hvjwvj
Ni+9CJv7n/V7GPYL3M4YGg0Y+RDstn8/+GFnCnwzMy/Uy74KT+/l7go3jYLt
domxTz2/wUO3R6vGd06GoKRPfQ5o8JhnzbN2aSZ/BJPxZccFKXwm+WHtbbmr
HyGwwKi+uojPVGZ4a9suCQTP23P9F80TMIbdouU+JSTBGdk1vQrH+hFR2lCT
2/5ZEKh8dPTX8I8kSk6dVPtlwyytvXavnJ6Axoym3ZGDM2CGfLJTzuVQeNDt
M29oRga06F3bz8t7DVdXug3s7JMDH1XPegUq+0Fgr/tyG/YUgco0217K7fXY
bsLf0WVrux2Lj3n/RUsMux9VBcbPyIKDe5n05YvFsNRnygj75TmQNcCpVf9i
E5QtEO5IzkyDVu3jCgP3tttZE6twu1tZMCiHX/+qpgncanZVm53PhcbWnXen
fOcxi5YumH95ZwYML+/et66Ixzj7gFnM41wQyU7xfz6gff73Sq/y2pcOLpt3
15FJzbBxg/Vzz8xi+DA5ZOy4dj8ibt7MX1Pax22IXlPkx4L2eNj4tfz8dn0h
r3fzmoqNgFm89a2KrVMG/H13JTotXMBY/Zysv390KaiHKLrX3xfDHHedVVOV
yuHujhl1Ua5i6DyrdtPzxVUws274i8FzmuHBxAzb84PKwWOu8otvzS3QJuDV
dx1dDv6bVDUeQjNsLzzCe76sChoeHY+vaW4CBfMzY5Rk2uPBLbnvJuk2g4/+
ncE9yqohPim/aUF5u5/z/t6uEZ7tfu+Hi8a+6Txm26FHCQdamsC0tb/VCl8e
k2YUpljT/p0R8tFfdFtbwdhkU+YJpyYgW6r1VOMFTFi4QfKmE02woXJ5xScr
AVPd6/6pdH8eM+dKl2anvHro+TRRb3ixDLMm5eljmZsNEKO7vSE8TYYJLt29
z7+Eu480slRpwxQLPjOr6lk3z/myzFf9q0NMg/nMyP5GVyfbyjCqG99v/hNT
DlZWW871HN2J6RvwTKtJUAn8LUdPxG/pxMTYPwjqriOGrl1yZGNfcu8FWL5p
1pwQ1O5PTE5KHzYuiL1v8Td53YbgPCdYLTB/l+rayt7zajrXh+mjwWP/74TW
hXlmO6qbWLtqp+d8M2JkI+n3sPZWuEc0e1/j69uNO/aqFoJWSYJdmHczu6+8
coXsLnPdZuL/0rVRdC6VvQ87bKOXZX/lJ1LvB9xTF+e6r64hd3TOTo1LiGLX
k8YtcB8b9TMP7NqONM3MF5KuzYvfJLwqgXseB4qvPhCSpzz9nKRd9VLvCVgv
V3ArFoqIqe6+5BioknpPIOv6O+FtvXp2/WfkVXHShogacjyzMnxBPfe+gG3v
TV5uN7n/g+Df+rW8rdmPjbew/ZRlXzY+21LGylP0Je3Nm4cFxOFVQJfbI6PY
+KrrgAcfqs9lQ23eRuNuRyqI017tRqXlf1l+GJ9XTHHf93Y09/6YKPjxNt3h
VcSgaPGV42NypN4f8FFeHW/XvZzIduqzzTO8lqPXxZgdUeHeI8D2WXwvxYR3
uIptj31nRk3abVhFjiS5nn36q1LqfYJPrp0MNv/KIdbe3Xu6Tb0u9T5BVVy4
22yTbPb8Rs9VOvu2DfxNzCZ+1b9nyb1PMClP9a5z4XY2rtPdITDa68O9R/A5
+tvL2VM8uPMPdfdLeOek79WaB6dcHnAnFXpemrzbIrhV6l7i5m1/CtT6lYCz
UdGMjdrce5Vbd+43IQ3hHFbXHubANLPx554NwS7ZVdw52uQYvRFD35SzcQrG
nfk+HssdypvAkem++soq7j0/HE9Onbu9OHWpFbyvPniRrcy9r9TFd3nkWTfu
fYKh3fq2FCcIGG9h3o63G5vAf9/hm2dH/YGvkKJw9FUbK3du0HeLnnY85pTG
7bbBx1Kl3icY38Tss4ttAb3hq+X5TtlS7xXY7fn7wNmRe6/gfNYWk8+neMwE
l7SIZTdLWH4/fO14rbu59wuwnWxMXX+d0mtj5e95K3xSmWIbFFxJ2DQyL5ct
bx99urdxZD0oHt223E+Rx7jHFaU1eHDnGHC87XZ4Kuya1QbvTa4+PPice98A
+cvnLvlrO47PLE/yFP9IbwPXOZ1L9Z/wmbGqWuHJ4wVMbGGi7sgYLn/cerug
wT1kWL/27xaVAoFQwJhN62xfMIm7Z/qyyGmth1cN1Aw0UzOI5eK/G1EfbM+J
ZRilsdN4juUimOkgmjxxmQxjJhjitX6l9HsG2t0vnbN8Kseck335y8ynFXZF
7LhgUybPNI+64RBV0sbet3q5tGDYpgmFYOH8eZ5qJPd/cIqnHL+69zg/yPPY
XcNxllUgkssyygrnBbnava79HMW9Z/B148PAM/p1YHK22OSpYyuxyqxXWnC+
Xuo9gyddxvXQDW0jtwao2/09XQVazN5ugggx8Ujtta17BfeewWGrnPLxx4Ww
SsvkV0GJmOTvLdkx2kTE0vu6KGQMaPcnIPOOYFsW955B77GyO7rF1xHnCVvv
hLqJWX3q5hDh9uwE974Bru94hCj4bHsuZO3ByNOK60Zbi0FQd04leXgJuz66
Wf/SshEHufcPcLz9TFlf7rxTxI7fuyd67iyYxMVFE/u/339sfiMIe6/iOw/L
Z/kN09AxXxLDvY+gpuJbND41hr2Ph/NFFCQOidzLvZfQeeGt/FEzufcRyjdM
Ujn7R0zIxKGnhnvEs/of6V3fdsmozeDeT1BZ/m3oYdUidv3SdVKKo6V/NXnh
4HOlYX8Wa0+66eUHnp8Ry+p79n1e/5lxH6I4fS4uF7rybGtIyrzHnU5O5t5X
CBsVUH/09Df2XmSXuN5zhwVy7ym4D1y9Nqj8G3tPZOTicYovErn3YdWZrbZN
Vdz7CpuPyzjIC9tYfYzyKFx6nZShyb2vsDrprPySpUmg2XRv5mVlTi8tGTZF
KTK7Dej3E86eGF6s37cBFqkfcW0cLv1+QmlXj/O3Brb7kWuC3RbKtnHrZzuY
/G7VGWz/IV8Z7cVRuY9aQMajQTnKoYSlB2oM+TXLQcTqD+Q/9UNz5O+LXJyp
MWQj/12EgAlME/gecmlj12s6GQvnealx7y3g/DatzP2WeIN7F8J73+pc8x0C
xpnvkdUUWsyWZ+2Ig/HHHuvlmQLXGpdzYWKp9xe04yJdAjvVkZtugy/cn8Hj
3iGYsDOv6+72eDv44XWdZ9nEwG7lq3UHo9n1jxzVT1fLmpJYHNXbomEzPxqK
1+wLUkz9SVI0bh6INE2Ciht+nXLmB5MDn4TeC/i/YUcnk1fu95zJY2WzW8n7
frPrHy6+gYLV1xJZrFUxRi/+7W82nWW+uLasKREadZJWPhkZD6/r+8lZ6cWA
0z3FWYPL/sDytV9VHcu4/wvRfHr3NVIiYOK/GIp1Z1WDy2iNdZPb9e7WKF7G
p3V1MGv9TXlSy/3fiPmXK96IKgWMxswRVSqjROw+zvybL1ZfTZVhWuatHhSz
KIE9f1oh2n95oV0s+cnPUyt/WEummrde7hKcQCZueXKma2gFmZZ/bPmfTwkk
eLrJYt2KCuL/xtDn1Ztkdr2q9aho6jWLJFKm+kHxcXkRmfZ92ImJH5KIOHhK
/KXKAuK3ufOWPx7JRLFL3PJbeplk0ZGpOSqHksl6LdFT0a0cYj5vs4JHRStc
4m/UWzy3lCRZH56Xa/yHXb+CvJmy9VnJbDol78KXEcnJZOCbO1f3LIolOfKF
+xVt2utjq2u2xfct4V3Xjurrk0w09ggDbcUhxLu18HLayxTw70jJI/XZlp2u
JsOzfVnJl11iSe9NvXNGqcbCpIk9duzs+odY3jRpVb5TD8+uWFtfW5xMur5a
EW2zQwj9dgSpunRJIQdEC8Ur+zfAy9v3Q7slx5M+EwIbq5KTWL/U5cuaXe0e
M1GuXh6WPfY9HP8+IWHxzSSikFAbWeAXDN7dTw1dOTqReHakEHcXLKsXJZLD
DXnJD5PiIZP58/jPiUQgySszbL9+AhWNJRcdrRLh/rBNB71rAuHESdGontFR
0NdolXWc4k1Q2XNF+WXveNaPPTP/LK/frXhyUHnQFPGTLFgyaY3vt74xZLfi
/SmzZpbA3HtzAhVEAsbIa6fOyYg6GAuDYeLOj6z/cCElcpzT2BtgWDJSzeJj
Exz/tFkv8Z43zDBcueVhu/8zwuyZcmn3MLg/4/Zl3wru/YedPTvl3b0gYBoc
3Qvlc3LZ84W3p17qP6xbNrzd+DO6/85OzDD3Fa9th2RD7odNhgH7OjGX+/er
SfV4wr7Pbl9fEG39PZG9b+f+OXFm7u9kVh/XbP1gnHEsA/odrNyj2yWX9ecX
dVb65VCXT4atCI/2tqgFjQ2CY6rzc1h9rzBZMUN9VQZ5PuDoqZo/tez+89jH
IQO2aHDvfys/lZ8ZvKNG6v2IhI3Knfu/ziVWbjqVVzvVs/45+ltF1plr3j7P
YuMd993FOiZh8UTmzNllW4q59yOWztI4t1Y/mbUf1zWbh1xYyL3zsPDrwvWq
16Xfkwg6bDp1gmoKBJREhh77v96TiHmyI8Pqz0syemate0gGtw807UCA2etG
MfjY6uq0GTxk/Yb+c5+OPW/uwNqDMfI/euYcEYJCoE757UIx6z8eiVN6uUWj
GRpn+b0+Yihi7UrckV4DrPO49yOqyAC9m3weU9Kw9LH6Xj4z6UuXLbd+JsGC
14X5Ew9w7z+caKtq0JotywRcrd1y+dAf1l9MXZTxZdM67j0ItNcD03uuzy8Q
MKI1nwVN/f9KvQ+RobxJfb4M54/2cl0fFnZEjtEWBTuOHsa9R5odfFcreH8d
6OycfW3nOjnm9M7e/FsBdWAw6eKpcHM59n685SHVJ/IT5Zgr4ppLP4YLpd6H
cD310nrmRjnGxzY8ZMMM6fcgprh4Hj2mzA/SvRDyYW0Y9z4E0h85Rx25vot7
LyIl85ZR4OJmci6t/q9LXiucuuExqvOpUrJZrvRuwVQ+c1aUIN/8LZJctXSQ
GbKhDUpPrxiRYiBgFgV79D2jFUPuGSpFa4+vJwVBT4LvBP0maz43Jew3LIPx
zfMPbB8QDjVRSUs+TeXsZ4+NsY6vQ7j3Ek4NNwjlv2gmDnO7DRA8494nKG3S
O/joTjbk6S0dtv1hDdgNVFcwHJoODjK9jKp7lUJlSdfHhZHcuzH/B/4a36M=

    "], {{{}, 
      {RGBColor[0.35605061709562047`, 0.166309083711286, 0.617452531426034], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmFmUVdURhvfte/ocNaIig2IjLQpEQG2lXYoRccAERWiGxBiZBFzLgQZU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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwllMtvTlEUxc/97ul3EkkrBB0YNKUhCCVNykSItt59oYJItcSrpe+ZCqGt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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.48131985128686144`, 0.384118451133858, 0.7935335942781019], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtWGlsVlUQfd/77rsvqFQTVLQugMqiBi0IikSSuqagYGkRl7iBGwiyWBZj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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlneMVlUQxb9y33sBBEkMqICwlAUkAUGWIhGCsa0osCxdRASMdHZhARWF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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.595265401704073, 0.5780880535115065, 0.910215579851941], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1VmlslVUQfe97994PFJRSgwWk1qVQa4sFSwuSSDUhgiZFipalCEpKQ1u1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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJw1lmuQlmMYx5/33fu5n4aI3UoHpWSTIrWtyvhQ+VBtjAidpGiqKcnWdFAj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          "],
          VertexColors->None], 
         PolygonBox[{{1597, 1596, 1600, 612, 1599}, {1128, 647, 1664, 1596, 
          1597}},
          VertexColors->None]}]}, 
      {RGBColor[0.6873672751193559, 0.7260701364710036, 0.9123152188881622], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1ln1ol1UUx5/fs/vcn2GQbrY2w8CUXqh/rChixNoszUqE1F5tipnTpZtK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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlWmI1VUYxv/33nPO1RJydJqcSaORNsgvRiUxH8ytkrIPlbYyDrZMis2o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          "],
          VertexColors->None], 
         PolygonBox[{{1590, 1589, 1655, 643, 1124}, {1506, 561, 1028, 1333, 
          1334}, {1126, 644, 1657, 1589, 1590}, {1418, 499, 1190, 1325, 
          1326}, {1576, 1575, 1636, 634, 1107}, {1338, 1337, 1432, 507, 
          1431}, {1334, 1333, 1032, 776, 1821}, {1326, 1325, 1191, 500, 
          1419}, {1098, 632, 1631, 1570, 1571}, {1581, 1580, 1643, 637, 
          1114}, {1425, 504, 1427, 1337, 1338}, {1571, 1570, 1629, 631, 
          1097}, {1116, 638, 1645, 1580, 1581}, {1109, 635, 1638, 1575, 
          1576}},
          VertexColors->None]}]}, 
      {RGBColor[0.7777528002072196, 0.8520407174344723, 0.9072564470583042], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFlW1ol2UUxp//f899P/kCNliJ1D7Yu2lFZFqiyDCKWhKYVjohy9WwD7ME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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlVuIV1UUxs//zN7nOBrlwJREzoMQwTQDPSQMiDFIYuAFYdSp0QjRyUvg
iJJaecOSSFFT8SHqoQcTygsJlpPaRUVJH0bN25DazCimvSZO4ziK/T6+/bD+
fOty1l57rW+v/5h5S1s68izLViAB6eDnVAWMcU/Mslvo18HNyEP0UUgH/m+J
bcLXjv4H+hn8XegriyxrQ38GaUev4P8aPIgcQp9Q2j8caQaPwf89OK/KskfI
YMqnMx6At5Bva+78F8BfYXuEbzYyEbwwuhbFLwK/gnSC+5EDwTWr9klIyfcf
6/vMZ34C3oxtC77TyEni30NvSfXNRq+nxhXgGvwvg2/j7wYvptY+/LvJUYX+
BTnHor+A/h3xz2P7DTwlup9j0WvUH/TDxH6EbRW4Fdux1J9d6HdSv5YTU41v
OGcO8u15bB+iD6qH4Jn468H9xO+qOGYEsdOxHUn334qvofRZe5FG8I7o3Dpj
J/hZbMty56wF38DWiN5KTCP4b+5bV/Gd74B71OPcPVavdUfdtRt9g+5S+NsG
bD+DbxX2qYc9qo342twzXo1+pfB8dMZl8AVsT6f7zo2eqWarb45G16T8qqE3
umfqne6TRc9Es9EMRkf3QL1QvdOCOSFdPXoVXxdnnsrN12r0Q9Hnd2k+xD5B
poMHkO3RHNZ5mlkT+ufRPuVT74cV5po4uRRfGc1VcfZLcEs0V8SZb8B3o7kh
jkwDH+X7g+hDxBwRX5HPEj/Pg+eUrmcOd1wP/otv6nPz4Qm2Cek8zbgZvLZM
tSEHgzmk3uqOuutNcl7OPZ9c84q+m+JvgpdEz+9PYu7i/7HweRm2H8D/FPZ9
gD4C/BayPNVfB65BpuTmvLg/XzqxBTKDWi4Gvy3V0Ifv18Lc0Rv9Bfx+ei/K
MbJwTuUWZ1vB60r3QjXrLY0v/X6Vfxz4YXD86+hD4N+Dd5v6PZXc/yLj0rzf
AZ8l53H0T5E14P7g96UanyJfD7ZLie/qjXaedpN21LbCO+pM4vd87ZrgXnVi
O4FvctLVg7mFe67eK2cveFZw7brDQvR3g7mpnfkG+WYmv75v092Dd5Xi20tz
RFzRTtsEXpC+F8fPob+d4pWvA/1adL/15q+Dq0vzQ3e+H7wTlU8c3Ej82sK9
UY+O4esszD1x9ifw/uheiuP7tF/TPtab3QSui95F+k/Rf8tAdG913n/gF6Nn
pflPxP84+K7qmXo5Pu0vcfw1cFt6T5rhPe2i4LennfJS6RzKdVg1U99z2CpV
5vDV6P8c/feIs29qFtFcFufEvb3Bs1P8lWiOdKX3o12lHaz7K+cocu8JPks9
VW//Bxl99xU=
          "],
          VertexColors->None], 
         PolygonBox[{{1222, 515, 1443, 1295, 1296}, {1604, 1603, 1138, 653, 
          1677}, {1433, 508, 1435, 1346, 1347}, {1662, 646, 1127, 1593, 
          1594}, {1296, 1295, 1446, 516, 1223}, {1512, 564, 1511, 1291, 
          1292}, {1292, 1291, 1217, 708, 1741}, {1347, 1346, 1738, 704, 
          1737}, {1594, 1593, 1129, 648, 1667}, {1675, 652, 1136, 1603, 
          1604}},
          VertexColors->None]}]}, 
      {RGBColor[0.8604665335866017, 0.8796235435310217, 0.8702007686268162], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFlEtIVlEQx6+f596jFlGCSeTGkEiphCQS/bQyNciCsoemuUhzq5tC0zIy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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlMtLV1EQx8/9ec69ahBUWERuBOmhtEmiReoi0kUZlBGV5cLEXeiqNBVN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          "],
          VertexColors->None], 
         PolygonBox[{{1856, 804, 1855, 1853, 1854}, {1851, 802, 1850, 1848, 
          1849}, {1911, 856, 1913, 1329, 1330}, {1849, 1848, 1108, 827, 
          1880}, {1031, 1030, 1852, 802, 1070}, {1205, 861, 1921, 1282, 
          1283}, {1349, 449, 1351, 1036, 1037}, {1227, 521, 1453, 1372, 
          1373}, {1890, 834, 1892, 1030, 1031}, {1025, 1024, 1277, 413, 
          1067}, {1854, 1853, 1115, 834, 1891}, {1283, 1282, 1510, 563, 
          1509}, {1373, 1372, 1452, 520, 1226}, {1879, 827, 1881, 1024, 
          1025}, {1037, 1036, 1857, 804, 1071}, {1330, 1329, 1917, 858, 
          1916}},
          VertexColors->None]}]}, 
      {RGBColor[0.941176, 0.906538, 0.834043], EdgeForm[None], 
       GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtlDtolFEQhe+/93+IQUmjWFgYtFADEQIWEgw2sdrCZ1aEFG40NhqxMIaN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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtkz1szlEUxu/73v+HaNI0EmIwaCwYKpGYhIiEhQFRr4HlrdakIiGaSjpI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          "],
          VertexColors->None], 
         PolygonBox[{{1605, 614, 982, 981, 1602}, {1825, 779, 986, 969, 
          1288}, {1595, 610, 979, 978, 1592}, {1480, 544, 977, 973, 1963}, {
          1602, 981, 956, 651, 1672}, {1592, 978, 953, 645, 1659}, {1111, 829,
           996, 993, 1964}, {1378, 972, 988, 784, 1828}, {1146, 280, 964, 972,
           1378}, {1962, 955, 963, 357, 1363}, {1884, 994, 945, 100, 1882}, {
          1447, 517, 976, 955, 1962}, {1288, 969, 960, 267, 1286}, {1963, 973,
           975, 511, 1438}},
          VertexColors->None]}]}}, {{}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1922, 1205, 1283, 1509, 1342, 1117, 1436, 1286, 1288, 1825, 
          1038, 1658, 1659, 1592, 1595, 1074, 1042, 1671, 1672, 1602, 1605, 
          1077, 1045, 1828, 1378, 1146, 1464, 1302, 1931, 1239, 1929, 1238, 
          1930, 1390, 1052, 1542, 1388, 1152, 1747, 1236, 1536, 1746, 1745, 
          1461, 1797, 1798, 1524, 1800, 1799, 1144, 1454, 1227, 1373, 1226, 
          1363, 1962, 1447, 1224, 1361, 1360, 1438, 1963, 1480, 1481, 1290, 
          1267, 1350, 1349, 1037, 1071, 1856, 1854, 1891, 1890, 1031, 1070, 
          1851, 1849, 1880, 1879, 1025, 1067, 1193, 1908, 1195, 1909, 1099, 
          1414, 1187, 1321, 1320, 1026, 1322, 1323, 1416, 1415, 1100, 1914, 
          1915, 1910, 1912, 1911, 1330, 1916, 1882, 1884, 1964, 1111, 1922}],
         "0.12`"],
        Annotation[#, 0.12, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1722, 1718, 1720, 1719, 1319, 1023, 1501, 1493, 1194, 1729, 
          1276, 1277, 1024, 1881, 1108, 1848, 1850, 1852, 1030, 1892, 1115, 
          1853, 1855, 1857, 1036, 1351, 1125, 1482, 1289, 1741, 1292, 1512, 
          1041, 1355, 1356, 1223, 1296, 1222, 1444, 1362, 1451, 1452, 1372, 
          1453, 1143, 1459, 1145, 1802, 1803, 1525, 1526, 1527, 1462, 1834, 
          1833, 1537, 1246, 1762, 1153, 1471, 1307, 1308, 1248, 1764, 1766, 
          1765, 1154, 1748, 1749, 1531, 1830, 1049, 1079, 1303, 1237, 1377, 
          1528, 1529, 1379, 1744, 1676, 1677, 1604, 1675, 1673, 1743, 1666, 
          1667, 1594, 1662, 1660, 1737, 1347, 1433, 1434, 1287, 1209, 1341, 
          1340, 1033, 1510, 1282, 1921, 1280, 1428, 1110, 1918, 1919, 1883, 
          1200, 1917, 1329, 1913, 1331, 1197, 1327, 1502, 1503, 1324, 1500, 
          1499, 1498, 1189, 1728, 1092, 1316, 1186, 1275, 1274, 1721, 1722}],
         "0.1`"],
        Annotation[#, 0.1, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1632, 1098, 1571, 1097, 1716, 1717, 1494, 1814, 1815, 1065, 
          1273, 1185, 1485, 1812, 1813, 1621, 1622, 1565, 1624, 1845, 1623, 
          1020, 1313, 1314, 1411, 1410, 1091, 1725, 1726, 1497, 1724, 1723, 
          1317, 1417, 1418, 1326, 1419, 1101, 1421, 1103, 1423, 1424, 1279, 
          1505, 1506, 1334, 1821, 1335, 1203, 1281, 1426, 1425, 1338, 1431, 
          1343, 1345, 1210, 1348, 1435, 1346, 1738, 1211, 1661, 1127, 1593, 
          1129, 1668, 1218, 1674, 1136, 1603, 1138, 1678, 1229, 1380, 1147, 
          1465, 1466, 1384, 1383, 1468, 1391, 1544, 1543, 1530, 1250, 1309, 
          1081, 1836, 1835, 1546, 1251, 1399, 1398, 1553, 1551, 1552, 1396, 
          1397, 1249, 1547, 1768, 1767, 1389, 1758, 1759, 1538, 1761, 1760, 
          1234, 1804, 1269, 1534, 1268, 1801, 1375, 1376, 1232, 1374, 1521, 
          1522, 1369, 1044, 1076, 1443, 1295, 1446, 1445, 1134, 1357, 1511, 
          1291, 1217, 1742, 1126, 1590, 1124, 1654, 1208, 1646, 1116, 1581, 
          1114, 1642, 1202, 1639, 1109, 1576, 1107, 1635, 1196, 1632}],
         "0.08`"],
        Annotation[#, 0.08, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1087, 1564, 1705, 1706, 1179, 1408, 1174, 1709, 1182, 1488, 
          1489, 1490, 1315, 1817, 1816, 1496, 1188, 1727, 1094, 1318, 1190, 
          1325, 1191, 1420, 1102, 1422, 1198, 1278, 1068, 1028, 1333, 1032, 
          1822, 1508, 1204, 1339, 1427, 1337, 1432, 1206, 1344, 1118, 1437, 
          1120, 1739, 1212, 1587, 1826, 1665, 1128, 1597, 1599, 1601, 1827, 
          1365, 1137, 1455, 1298, 1299, 1520, 1382, 1148, 1467, 1304, 1306, 
          1831, 1681, 1241, 1750, 1155, 1472, 1156, 1392, 1474, 1473, 1400, 
          1555, 1554, 1545, 1254, 1940, 1776, 1611, 1685, 1684, 1775, 1083, 
          1863, 1774, 1609, 1161, 1771, 1253, 1548, 1841, 1842, 1394, 1541, 
          1540, 1539, 1247, 1763, 1235, 1756, 1757, 1535, 1832, 1051, 1386, 
          1048, 1078, 1300, 1231, 1458, 1141, 1370, 1517, 1297, 1225, 1450, 
          1135, 1440, 1133, 1353, 1216, 1740, 1656, 1657, 1589, 1655, 1653, 
          1736, 1644, 1645, 1580, 1643, 1641, 1734, 1637, 1638, 1575, 1636, 
          1634, 1730, 1630, 1631, 1570, 1629, 1628, 1714, 1715, 1312, 1090, 
          1413, 1089, 1703, 1704, 1486, 1809, 1810, 1063, 1701, 1178, 1620, 
          1087}],
         "0.06`"],
        Annotation[#, 0.06, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1616, 1560, 1699, 1960, 1062, 1700, 1406, 1950, 1951, 1788, 
          1263, 1789, 1173, 1708, 1181, 1487, 1180, 1707, 1409, 1710, 1183, 
          1495, 1712, 1711, 1093, 1566, 1568, 1066, 1021, 1328, 1027, 1819, 
          1504, 1199, 1731, 1105, 1332, 1201, 1507, 1733, 1732, 1112, 1479, 
          1284, 1285, 1823, 1647, 1119, 1584, 1586, 1072, 1039, 1663, 1664, 
          1596, 1600, 1075, 1043, 1364, 1046, 1829, 1519, 1228, 1367, 1366, 
          1456, 1385, 1533, 1532, 1381, 1240, 1305, 1080, 1050, 1679, 1680, 
          1606, 1608, 1082, 1840, 1839, 1933, 1769, 1838, 1955, 1837, 1162, 
          1476, 1163, 1401, 1478, 1477, 1403, 1056, 1844, 1691, 1168, 1612, 
          1167, 1946, 1947, 1944, 1255, 1943, 1256, 1945, 1166, 1610, 1690, 
          1689, 1054, 1402, 1053, 1550, 1549, 1773, 1772, 1160, 1475, 1159, 
          1393, 1470, 1469, 1463, 1753, 1754, 1752, 1244, 1755, 1150, 1387, 
          1523, 1301, 1233, 1460, 1142, 1457, 1140, 1368, 1449, 1448, 1358, 
          1359, 1221, 1354, 1513, 1514, 1352, 1040, 1073, 1591, 1588, 1652, 
          1651, 1035, 1824, 1583, 1582, 1579, 1113, 1640, 1820, 1578, 1577, 
          1574, 1106, 1633, 1818, 1573, 1572, 1569, 1096, 1627, 1811, 1019, 
          1064, 1272, 1184, 1491, 1492, 1018, 1311, 1702, 1618, 1619, 1562, 
          1086, 1697, 1698, 1484, 1808, 1017, 1061, 1696, 1615, 1616}],
         "0.04`"],
        Annotation[#, 0.04, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1055, 1843, 1556, 1942, 1941, 1165, 1902, 1904, 1903, 1939, 
          1395, 1935, 1936, 1934, 1938, 1937, 1245, 1271, 1958, 1270, 1900, 
          1151, 1897, 1899, 1898, 1928, 1371, 1926, 1927, 1925, 1230, 1442, 
          1441, 1516, 1515, 1294, 1293, 1439, 1132, 1215, 1957, 1214, 1895, 
          1123, 1893, 1122, 1894, 1207, 1923, 1888, 1889, 1885, 1887, 1886, 
          1920, 1877, 1878, 1874, 1876, 1875, 1907, 1871, 1872, 1868, 1870, 
          1869, 1906, 1866, 1867, 1864, 1088, 1865, 1176, 1956, 1177, 1563, 
          1561, 1085, 1617, 1807, 1016, 1060, 1905, 1171, 1694, 1172, 1695, 
          1084, 1693, 1169, 1483, 1805, 1806, 1058, 1692, 1613, 1614, 1559, 
          1781, 1959, 1059, 1782, 1405, 1948, 1949, 1783, 1260, 1784, 1170, 
          1787, 1262, 1785, 1261, 1786, 1407, 1952, 1264, 1790, 1265, 1791, 
          1175, 1795, 1796, 1792, 1794, 1793, 1412, 1713, 1625, 1626, 1567, 
          1095, 1192, 1953, 1022, 1873, 1104, 1846, 1847, 1069, 1029, 1336, 
          1034, 1954, 1266, 1430, 1429, 1735, 1648, 1649, 1585, 1121, 1650, 
          1213, 1669, 1130, 1598, 1131, 1670, 1219, 1518, 1220, 1924, 1139, 
          1858, 1859, 1860, 1047, 1896, 1149, 1861, 1862, 1932, 1243, 1751, 
          1242, 1682, 1157, 1607, 1158, 1683, 1252, 1770, 1164, 1901, 1686, 
          1688, 1961, 1687, 1777, 1404, 1057, 1558, 1557, 1257, 1778, 1310, 
          1780, 1259, 1779, 1258}],
         "0.02`"],
        Annotation[#, 0.02, "Tooltip"]& ]}, {}, {}, {}}}],
   AspectRatio->1,
   Epilog->{
     InsetBox[
      GraphicsBox[{{{}, {}, {
          Hue[0.67, 0.6, 0.6], 
          RGBColor[1, 0, 0], 
          Thickness[Large], 
          
          LineBox[{{-3., 1.300140934413596*^-9}, {-2.8, 
           9.138284438728595*^-9}, {-2.6, 5.811783977651466*^-8}, {-2.4, 
           3.344450763016035*^-7}, {-2.2, 1.7414487656020733`*^-6}, {-2., 
           8.20478393364365*^-6}, {-1.7999999999999998`, 
           0.000034977933481340106`}, {-1.5999999999999999`, 
           0.00013492477362194209`}, {-1.4, 0.0004709337333984779}, {-1.2, 
           0.0014872995777528016`}, {-1., 
           0.004250183301260169}, {-0.7999999999999998, 
           0.010989740015931341`}, {-0.5999999999999996, 
           0.025712110631758867`}, {-0.3999999999999999, 
           0.05443253863458038}, {-0.19999999999999973`, 
           0.1042677501814151}, {0., 0.18072239266818121`}, {
           0.20000000000000018`, 0.28342913061244795`}, {0.40000000000000036`,
            0.4022050815781247}, {0.6000000000000001, 0.5164415474672782}, {
           0.8000000000000003, 0.600019474215068}, {1., 0.63078313050504}, {
           1.2000000000000002`, 0.6000194742150677}, {1.4000000000000004`, 
           0.5164415474672781}, {1.6000000000000005`, 0.40220508157812407`}, {
           1.8000000000000007`, 0.28342913061244746`}, {2., 
           0.18072239266818124`}, {2.2, 0.10426775018141496`}, {
           2.4000000000000004`, 0.05443253863458031}, {2.6000000000000005`, 
           0.02571211063175878}, {2.8000000000000007`, 
           0.010989740015931304`}, {3., 0.004250183301260171}}]}}}, {
       AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], 
        AxesOrigin -> {0, 0}, 
        PlotRange -> {{-3., 3.}, {0., 0.63078313050504}}, PlotRangeClipping -> 
        True, PlotRangePadding -> {
          Scaled[0.02], 
          Scaled[0.02]}}], {0, -3}, {0, 0}], 
     InsetBox[
      GraphicsBox[{{{}, {}, {
          Hue[0.67, 0.6, 0.6], 
          RGBColor[0, 1, 0], 
          Thickness[Large], 
          
          LineBox[{{-3., 0.006859879878450973}, {-2.6, 
           0.015653427947106786`}, {-2.2, 
           0.03232011950347594}, {-1.7999999999999998`, 
           0.06038193260609526}, {-1.4, 0.1020731722562037}, {-1., 
           0.15613014638773892`}, {-0.5999999999999996, 
           0.21608890736209158`}, {-0.19999999999999973`, 
           0.2706130474066266}, {0.20000000000000018`, 0.3066447560485187}, {
           0.6000000000000001, 0.3144075050060712}, {1., 
           0.2916895148221942}, {1.4000000000000004`, 0.24486081110225466`}, {
           1.8000000000000007`, 0.18598944618352747`}, {2.2, 
           0.12782855233020907`}, {2.6000000000000005`, 
           0.07949466648371371}, {3., 0.044732035874570884`}}]}}}, {
       AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], 
        AxesOrigin -> {0, 0}, 
        PlotRange -> {{-3., 3.}, {0., 0.3144075050060712}}, PlotRangeClipping -> 
        True, PlotRangePadding -> {
          Scaled[0.02], 
          Scaled[0.02]}}], {-3, 0}, {0, 0}, Automatic, {{0, 1}, {1, 0}}]},
   Frame->True,
   ImageSize->Small,
   PlotRange->{{-3, 3}, {-3, 3}},
   PlotRangeClipping->True,
   PlotRangePadding->{
     Scaled[0.02], 
     Scaled[0.02]}], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell["Finding the mode", "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FindMaximum", "[", 
  RowBox[{
   RowBox[{"PDF", "[", 
    RowBox[{"ndist", ",", 
     RowBox[{"{", 
      RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"x1", ",", "0"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x2", ",", "0"}], "}"}]}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{"0.1688093092794574`", ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"x1", "\[Rule]", "1.0000000002854272`"}], ",", 
      RowBox[{"x2", "\[Rule]", "0.5000000015865276`"}]}], "}"}]}], "}"}], 
  TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Drawing samples", "Subsubsection"],

Cell["\<\
As we've used in earlier lectures, drawing samples is done by:\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"RandomReal", "[", "ndist", "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{"1.077663445280668`", ",", "0.28020871213159604`"}], "}"}], 
  TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Mixtures of gaussians  with MultinormalDistribution[]", "Subsubsection"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Clear", "[", "mix", "]"}], ";"}]], "Input"],

Cell["\<\
r1=0.4*{{1,.6},{.6,1}};
r2=0.4*{{1,-.6},{-.6,1}};
m1 = {1,.5}; m2 = {-1,-.5};
ndist1 = MultinormalDistribution[m1, r1];
ndist2 = MultinormalDistribution[m2, r2];\
\>", "Input",
 CellTags->"S6.7.1"],

Cell["mix[x_] := 0.5 (PDF[ndist1, x] + PDF[ndist2, x]);", "Input",
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"gg1", "=", 
  RowBox[{"ContourPlot", "[", 
   RowBox[{
    RowBox[{"mix", "[", 
     RowBox[{"{", 
      RowBox[{"x1", ",", "x2"}], "}"}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"x1", ",", 
      RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{"x2", ",", 
      RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", 
    RowBox[{"PlotRange", "\[Rule]", "Full"}], ",", 
    RowBox[{"ImageSize", "\[Rule]", "Small"}]}], "]"}]}]], "Input",
 AspectRatioFixed->True],

Cell[BoxData[
 FormBox[
  GraphicsBox[GraphicsComplexBox[CompressedData["
1:eJyEfXVYlM/3tomoqNjd3YUdg4WIiF0oiu1HsTCwmzIIBRXBQOxEbGpAFCSl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    "], {{
      {RGBColor[0.293416, 0.0574044, 0.529412], EdgeForm[None], 
       GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmWmQldURhr+5g/e7d+be+7FZOrIIirINqBiWmRHBpMAAmpSgJS6ViqAI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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlU9sVVUQxs9r4d53633vJgQiCVYiBlDEADWEQqIbEw2gC4ukgiy0FQsF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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.38385589053236346`, 0.2146549449865527, 0.6565362069289884],
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFWHmYTucVv/Nt97vf3VSLPhhppCQYMmhqtM2m1GNJDRW1NY0ZtAajtola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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtmHmQVNUVxl9P79P9XitRK8VmIoIBBjKACKilhoiGRQWCJAzGCAMYQGZA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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.47429608655519295`, 0.3719060211385236, 0.7836608432617831],
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1mHv41+MZxz+/vqfP9/v9PJ+vdFC/UubYohljbde2ZDOh4RpbaolKU5Rq
ITKhNWcXSsP1c8hhHaRQaFuZFBJTQohiuNY1nQ+OtevSXm/vxx+f674/93M/
93M/93Ofnuc7Q8ecMbpVkiSbm5KkADypmiTdIfw+T5LD0iQ5Hvr2kCT/BN4H
/Xx4nq4afwr4EvBGxpr5PuTbxf818KyoJMkY4DjgpHqSDGdsK/yzgJtY6LvA
OcCOfO2Y061ovAiesXYH/ttkSfJ38I9LSbIQeB1ylsNzLfD1iteZDFwC75HS
DZn7wHcw/4cw91rgZdDa8N2FjEOYOxh8c8E6/Ib5q+CbAO1j5q1H7hfQl7Hf
N9H1cWQeD+0z8GXg94DvAH8W/Jlaksxk7ijWmJV5Pa2bI2cY+IngQ8C/hP9y
5F+CLdtD3wV+HnO/RFYFnq+AC+D7AP0uhncc6zdD3wFfBn878ALjr8K3jbH/
gXdPbeev0LM1/0OZ2waYI3cN9BXwDsy930ehHYucGvQuyL8hs+1ryBgMfhD0
46CfWrNMyb4eeQ8xtwP/66JMyT6G9dagz9HApfA9i5zHWedweBfxdYPvotxn
cQoyd8E7Bfx2nb3mA+dD316zH01Gz9Wt7BPS6ZzcdpP97i4nyS2MTYK+Drio
yfMfKHm9HtFH5at9kFlsmK8Z2R3Qbwxy5iCnb9E8z7PedGROA29BzoDUvjAS
HSYg866CbdS6bJ3ubrL9ZB/xDSvY94bw3wT/HUXzXJBbl5PR4VG+I6C9hw4f
QOtfcNxszW2HhfjqlcE6zIT3udTjR8F/QtX2ewy8Lzo8W7TcXdCXSh/0HMl+
uiNzATxL4twe4M9IPvQqvBsr9k/56X/4ngbfAHwFnu3o/XI8L60h+Tpn0UeB
dwb2h342a9/OWoOBO4Ero+/NQfd7+T8feiXYFnvgX4EeH+WOtal1n1sJ+p/4
35AbPw29RqHHAMamw3Ml+Ajwo5A3L7c/yC/k94r3t2NMKjb/Bc85yHgf+tjE
caN4GZ94/X2QPRhZm5GbMPZOsL6zGRsIaRm+sRZ8KXAqdrsNmWcGyxNdc5Oq
Y7OZNQdDW8w3gvFbmXMhw1vRoT1jw6GtaRiK7ybGnud/AvALeKZEu+3JLF+6
SWfh2oPGRJPeon8O3yxoy4NlDinbvvcXfRa/Vb5l3Y8YuxwdF8XcuG/mvPer
suPtWmzXmj0fyPg27FBk7DHZFfpexjvA31L12RwfnE9l5xca5j207DOQj8pX
L4U+B3q3svP4huhLB0MvI3OV8n/dfix/vlo5k7lzwe+XzNQ8g6C/VXEu7QX/
bvCXwX8eHKuK2U4694pzrHLtUNY9qGz/qjWsWxVYafis1tbt7z8pO2bvrvgc
bkBOl4bpLdDu5LtRLhEc0x3LzjUb2fvNwPExZ/eEfh18nRvGOwFnMPcpaPsx
dzr4DPB9wM8qOkco9vfkljmE8eEV15NPMteQrvHsJsXzb0LnnextCXrMVq5m
je6KkYpzi3DVz3uanG+VR4alrpuqn6Vgv1D8zQyO1b8G10ud+5nwvYPceeDH
VF3ftFfp9GHJdUTx8iJj62QDZPcp+eyVxxdUnWMXpz7nObEuy0cUk/LvAXXX
6NPg+ZBvDfS66nLNdpa9T0qtSwN6M/wng/8wdZ1WvR5Zs49K58k15y/lMeXC
ZtZqKVrvjkX7uc7lrJhrD+SbXXc92ZLbr68oeD9v8z9DNYh9/Lnu/kR9ivKL
8sxE8NbB9Vp1e0PJ8tdEW0hGH3R5sO5+5iZo79dtkwJndUrmvU+Dpz3/XZjb
DG17k2u28tWisnHRPk5N+1vumimZh7KXd4N9WL6sHKRcdEdqu8g+t2GnI0uu
H1q73HBOU27bE3OV8q3iUnTFpuwrO3dgra4lx5Rq5QFFx4n2/2XMM8o3W2O9
U87vGefqrNo07CfqO9YGr7OK8W38PwB9C/Czku08hrkXZ+77Pkfn0TWvo7ze
BVlfqz7XfD7CZd89wXbryLwuJceJYmRqzX7cibm9ivZhyV8JflMr15UdzD2V
OVuD64fqyEXw/6huH/lHbtvLV2X3Xpn3Nxmec2r2/esqzi1Dog2n1S3/cei9
wU+D9tPUuUp7+eY/OGcqdy6LPc8nwTlcOV3n8XDdPcV9jF+T2U+bUsuSjN3B
Z6d1lQu6NVx3BzJvYsHxr9g/tmB91C+qn+oee6pH2FtP8MtS13aNH4Sctrl9
7WvoozP3uZvQa0vsP7rW7HeaK9/rV3dsKka3xH5DfccU6Cvhub3uXnJ7tOFd
dfdft9adm8WjdddXLUfy+mc+q+uh9Si411LOUp5T7W6rWK45DylHDs/N9zS0
14s+R/Eo5yjfKM/Wa/aLGdjt9Mx96GHYbHHN6z9WcY+rPBlqzg3K7+ohVQsl
XzqcXjH/F+jWNnVMqA9VLy4b7oY+N/O9YVRu2+oMNDY2s15bkLG66rqm+rY7
9vN3sP6K3HHU0H2o4Z7hXuA81niOdQcxvpo9vla0LZ7InW9Vn9V3qq/sjy7v
Za5HqkuqkfI/3T82Bvc6uiuozmtf2t+7BddQ5Y4pRc+Vz20s+j52czxz2Vbn
vjFzT3dL5ro6LPaxt8bzvQod/l3yWvLvQezhAP5ns/4fK44dxZD6WeVV5eu9
MaYnMvZK5hhVD/hp7FfVt07NHGevIf/waKu+qgnBeu6F58kYO4qhhXXXv/tT
9xQfFfwvqLMWrr1prvJO/2A7qKdorjqHKJfMj/Z/pGIbLIk+pvwunT9B/qcx
n2wLjgPFmuaoB9RZKyeqzxZ9CPyDop/fUHVcKb521Jwv1Zupjgyv2R67kHly
w/1ZZ/B1sZdQTzEeWW9CP0r1HJl9wIcD5xdd31VHxxZ9f9GdRflgVbzH6j67
MuKHxNxxKPCSqs/vSWw8vup6/1S8G42NcpSDR5a8P/WV6i/lEz2C/fMY9F2T
O7+/lfveqPvPXGDn3HM7iZ5Z5gjw5blryUvAH6f2CfWbrwbXJb0BPFnzfeMC
5v1XvYXuYA2fsc4zq1kf9TOK+XOj77Vn/Ncln5HeINTLi65+vmvUX/yqgadH
np3B+Ka4jubqPJYGx37b2JMWS/a5t4Pn6Z1Dvf6okvvIK6ruDxbn9l35sOrh
i8F3Ad0JrgqWMzG4j1E/07/uO5hq7hHM3VxxTlZubon2Vh6sps5Vuouflzr/
KA8p955Xsg/onjAn1nfl46GRvm8e70ap72+6J2q+7tvKDQtrvpeMiHtRbtRd
VflB9lMdlw2/vcO0y10/tMb1Ndck1abequ3B8jsCt2fWRWerHks9wEm5e7WW
uC/1AYrLH8CzteKYUx59lP8DWWsB65RD1Ivxr7J4x0gdcxeVHHeKCb0DKB7P
qDjfzai7L/hF0XfyczPjMxnfP/fZNaHXpbEnUW/ySqz30zLHgt4CVBderPsN
aLn6u4r7y0mZ717Do910DvNjPO7OXLfVy6u3lh5n59Z3RNR5ROY8orp6RHDM
Hq4cU/a6isHRzHkY/r7wPBLc4+vNoKXh3vEe4OXB7wsTgMem1qFV8NtMv5J7
xJtT13X1qmXmj4beBdkhdy+knqhV7pykPv2a1HfxFug9cr93fC937dgY68fa
zP/vAs/SeYP3A/6Ob6fqNPDqKKdn8N1DMftwcEyJR3254mBcyf3Be/GOsUH+
kLrHKXx7Pyo5JnXOeptTLfxmH0X3THpPkX/vz9xfal+MnZC7NqqvVX8mHxRd
/cHRVUP1C12rvhfq3Uu66I4nfY6LPaF6w4HB71NnAzfHXPOZer2Kc4Zyeb+o
j2x+Yu53sT7AfVPnn03IuTD3m9RIYKfgnK/c37sa347gOTf3/vTmpJ5YuXi/
zPds2Vl1fH3mOF0HvLPsO4Nq97zUvfKs4P5Pdf2U4PyoeFatnpB6zhjw7zP2
BnMvhdZbbxzgxwH/UvEbaw/k9+J/PfjPgv1IaylmpqU+w9nxvUcxKx+dHnO1
6vPe1Pnl/YZ7GtUO5bjng+8tLwD/0PD73biGe7w34l5Uh1fHXkgxoVhQPKoe
ik/5Qr2DdFNfotou/eVzbTPfCdvpLhJ8V3wQOKHhd70rgK/GN9+VmeuZdHsi
9gCvRx0erPiOMSDzHblTybn4oWB8Lvv7P6Vb/us=
          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtl3mQVdURxu+8eeu8d+/IzgAOCoqERcRgkU0FQ0QkoDGJDrIvAZQBFAJh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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.5644939071733955, 0.5286468240601321, 0.9095140845541401], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFmHn0VVUVx+/vx7vv3fveu/eqID8QNH+OaUIMkckQKkNggcvEQFBZDAW4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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtmHm0VXUVx8/j3fvuufeecy+IMg/rqYSpGENEDiDGEFDAMjUgBGQKMNFw
aUEqtQSUKTUgksHFYMITjCFXCjgw+DBlCIxCQCADQZBBniSDEq/Pt+/546y7
92/v3977t397+t3yIQ/96MEaQRDcUBIEKX6DQhB8xcJx8HNhEHyH7xL4L0qD
oEE+CH6dCYLHYfsva9XgTaEfBe6aDoLDcRDEuSDoCf0k/O9BH54z/1jwJuBf
8+VQNIw9G7NBsAZ8H7Tb4bkX2RfAQ+i70H8eeBprrcuCYJWMQ/4nsXXthH4G
+qwoCAZDGwN5C7z9wNuDrwJfBH4zOlYj/xq+pdhyE+e7Efol9rcAvpZvDPJK
sKc5exvnbats7gL/wJz9IZseQ94j4M9Be0Y2w1sS27ZuyJvN/quR9/NE3iR4
j+OfcfC+BL4ZWz6DZy28bfiugFYXvGHK+uSrpnzDge9iz0ngB5B/GnoT+O8H
/h5r+4B/Cb0R+jexdlPaMveDj+RbWerzz4G3Q962yuZ/Yv9E+JuV2OeTgENs
ehY4xTca/rq6c+gT8PnAIjZg30TgRdhwGrgN52uZ+K81cAaeq6Hfhg17kVcn
2a89g6DVhmcYtNOs1QLuAc9R+VJngLcz+L/B64LPw5Yu4IcS+ljoT2FzizLf
ge6iZ8H3WwT/AfAp1u7G9v3gV8Lfh/MuAK/H9ztoFchbkZxnAPbMg74L2gTW
/oO+RtAfRN790LtD38eeHtD/gLzl0L/kzE9Bq4DnPHA5OtqzdxJr98H/MvL+
Dn8r3Rm29oLeH/pC1vpBiyLnks5QG/7Bse9Se4YAvxH6ruej78/oezP0eYS/
Ct4wa1k6zwxsq+LM92BLZ/T1kb6MdUveEWh70Xc39Las7QE+y55+pc5R5eoU
8WPLGNauytsH8oX8fwbaAGw6m3KMpOAfnHP+KweViyv5rkX2DvbPYv8F+O/h
fjvBfz38Nybx2wd6FfAq+JuB38n+b3P+20LHmmKuI/unsr9G2vqmAL+reoC+
CvDNwA3zjnXlTyW2zsxbdyX4RfCrCs69NHr+gfyOnLkV9i9EZ394H1E8wv8O
/OfhX58zrv1fsKeU/f3TviPd1a+Ktkc1bBzwdtZ6pXzmbcBVfIvBvwv/c8Db
2X9zom8r8CjWuoFvBH8VXc3RfwZdtyBzt/KX719JPl9E/8OKuZTvcAzw0dC1
Vj4fwv5prK3Ad4OhTwXuAr1Q6pp1Dfqqs77rI8jojuxXQvtuDvhi8KmhaR+y
ZxH+mAD+cco6b439CVYOToRWjU3PphxDj3OWg3nHou50JLT6sc+mnGkAXJKz
7ZLZCfyJpL7Ih+Njn1FnPQO9L/h0dBxL7Fmcd44r17X2w9g5p9wrZ//L4G9x
xmNp1y/V3iczrvVF+AtF11zd/0rwauAP+KYAZ/DZpwXXGMn/UPJUi6A3Q/4s
8IHgM0Pbphp7F/pGxO5FwkcCH4gd29J3EHh01rJ2Y/+CvM+gs4ToO4a8A6qH
2FjFnmpkHwQfBW0Oe4apXkWupatZewbaHt0BtPZ8O+CfDP0n0J/ny4K3yjl3
lcMbwPcqZ4G/Cf868IZ8f0y5B85k7zK+oeh+C7xe7J6teFK/bgfvk6HzXflQ
iezLkX2nmqDaUDf23q7gL2V8Rp11N/oe4OxPJ/b155sCfAl5J0sck7fmHWPy
h2r8NGg1k3kgz/7JyF4cGlZ8PAa+MJGvmj859Eyg2UA1dkPWOa3clk/r4L/S
yHehmnMK/mE5n01nVO4cDD07qF/URHYD8BfhvwH+N9DXOOdeoRqrWrsEeYPg
XwtPLehp9JVz9r+ytg79bSLPC4rB8eCd+J4HXoOME1nXNNU21YgW7B9a8F0r
PyrYG2FD/1LbdAB9J1h7Pen/tcFfyzje8sg4xd7Pspa9lj2P5h1Tii3l5O7I
Ma3Yls/ku67wz0NfJWtLsaUONryZso2ydQj83yh1zN8BPih0fGjPT6Ety5n2
e/D7wP8Cvgl75oOP0HyEzDuQXQeeI+x/u+DeL5+sBz5ZsO2aJyqw51sF10LN
CC1FT86jmjgS+1chv7yGbZAt389a11y+4fDPzTjXJb8Juofm3fvUU4cAV2Uc
u6rhquXnssbV03tDu4iMethTl+8C8OCCz6YzKve7gU9Oe364jr0bi67lyqlN
wCOhv5C2fcvhvwzeqMx05V5lxrVYa9XQSiLXd81kAXA6cn87rP4JvCfJV81I
mpVmFd3LxP+panXBuaUeWYU9HSL7Tj3s9sgzjeJVM95G7nYz+ueBX6+ZT70z
9mylGtgW3qc1s6Q9I/Vl/5HY8ad5eZ/ireD8OqwYBh6BvMZl7rn18efrBdM0
HxyCf3XW9V/5olmrmPX9n4bnPXgnZA3LZtmuHq3zaeZtmreP5WvZtBv+mrFz
TTG1AN1bs/aVauz7wOciz1p7ob+Dr84k/bYt+7eEKvzYXWIflABPjVyLdOe6
+8qi9+qMOutF9PVJ+040exwD7562TzaFfmMoN7V2HFr9yPZoz1fgW/KeH9WT
tgJvC10bdOe7oG+LbZts/Jy9W6G3S3DZrjeH3h6aydtpniv6baB62ajomVSz
qWZmzc71Q8ejZOxE9i7wjmnX+C+Qd7Tg2UXzyJ0Z9yz1qvnImBG6h6iXqB/M
gP9voWdz9Rj1ms/5eqVtv2aTU7Fj8f9rwCfyPp9qYJn8n/Msp/6vt4lmRsWG
3nBPoL85PJ3KPAP1Rt+42L1L8+lY1aLYtVd3tk+9IfYsJB3SpRqnWqcadW/o
GqZapp7ZBX91zpquGqJashQdo1Ou2ard6lHqVVr7KOM3i/ypOyvH3iUZv4V0
B4Miz4SqT7L5OniXxZ41xL8d2nTWWpV45vpt0W8SzcbqmfNVy2L3Xt2R7ko9
XL28JWuboa2LnZuq8ar1yiH5S2+gK7i7j8EfKvXMWQP8/bzfyuqR6pV9Q9uq
N+vP8q65qr2qf58Ady/4PMrvHgW/WfR2Uc1uiO65yXtEM+ZvkJULPQuqZ2u2
mB6597wAfjzyDF2Z1FPNyhXJe1xvgFngDyfzr2aqsxnPGIot9VT11vXobJF2
jWqE/W/HfotqbYNmidj6tCbaGvRtKHG8v5ZNan7aNbdb1j1TvVM9bCDyV+Qc
G4oBxcKxyLarZql2vZLMi3qzrQo9s2p21RtpfOQeoF6wlG859N7J+0w+na3Y
Dh1L6klLcn7DqBapBvQEbx/7/jUjd4j9BlM/0huzQdZvMMX6bOWnenVoWP7W
rPRu7NjQG1JvyY8i88vG/cADCp5FdcY/IXtH5NyWz3dGfmPqrSmftYU+v+jZ
cpR8BlyvYFjvBf1XkwcflHaMKdZ2Flx/lZ8fAL+Y89l15h+HzlnR1BNb6z0V
uTZpprsS+Ja8ZQn/Gv7akWHpiJD3aNG1RzOMZpmJRftaOVQL/hrJvKYaplq2
N3QvUv09pHkpmd/0H0gdeL8M/RaTzsvQs0XzawbOFf0fjeqn/mMpR///AOYb
erE=
          "],
          VertexColors->None], 
         PolygonBox[{{2311, 910, 2878, 2515, 2516}, {2606, 2605, 2240, 857, 
          2804}, {3533, 1333, 3532, 1992, 1993}, {2138, 2137, 2923, 945, 
          2924}, {1993, 1992, 1906, 1569, 3845}, {2801, 855, 2239, 2605, 
          2606}, {2848, 889, 2281, 2631, 2632}, {2516, 2515, 2881, 911, 
          2312}, {2632, 2631, 2280, 888, 2845}, {2692, 2691, 2904, 927, 
          2903}, {2575, 2574, 3016, 1004, 3015}, {2224, 842, 2779, 2574, 
          2575}, {3680, 1429, 3679, 2137, 2138}, {3616, 1392, 3618, 2691, 
          2692}},
          VertexColors->None]}]}, 
      {RGBColor[0.6309883783779655, 0.6354849370024664, 0.9110299536918338], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFl3+QVlUZx++y+3Lve+9730XNAgLZFdxd0rSyHxqVIuGY2JCakYCELEOo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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtl3eMFVUUxu9b9vHmTXkWUEFXZEV3wR47FqSIUcFgiRVsCxJUFGuMomLB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          "],
          VertexColors->None], 
         PolygonBox[{{2894, 2893, 3631, 1402, 3633}, {2829, 876, 2269, 2651, 
          2652}, {2099, 2098, 3584, 1370, 3583}, {3529, 3528, 2252, 1336, 
          3538}, {2336, 1402, 3632, 3132, 3133}, {2437, 1522, 3793, 3149, 
          3150}, {2343, 2342, 3792, 1522, 3794}, {3435, 1272, 3434, 2466, 
          2467}, {2568, 2567, 3431, 1271, 3433}, {2467, 2466, 3425, 1269, 
          3427}, {3660, 1418, 3659, 2342, 2343}, {3413, 3412, 3436, 1272, 
          2200}, {3133, 3132, 3635, 1403, 2337}, {3788, 1520, 3787, 2893, 
          2894}, {2209, 1289, 3461, 2982, 2983}, {2652, 2651, 2270, 877, 
          2831}, {2830, 877, 2832, 2098, 2099}, {3537, 1336, 3539, 2633, 
          2634}, {3585, 1370, 2294, 3085, 3086}, {3150, 3149, 3789, 1520, 
          2436}, {3001, 995, 1884, 2567, 2568}, {2634, 2633, 3073, 1038, 
          1920}, {3541, 1337, 2253, 3528, 3529}, {2199, 1271, 3432, 3412, 
          3413}, {3086, 3085, 2293, 1369, 3581}, {3580, 1369, 3582, 2834, 
          2835}, {2983, 2982, 3000, 995, 2999}, {2835, 2834, 2874, 906, 
          2873}},
          VertexColors->None]}]}, 
      {RGBColor[0.6974828495825356, 0.7423230499448008, 0.9125458228295276], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtl3mMleUVxj/u3Jn77WOLKCZWQRAQJVqguMFMRUWE6UhR3Ce1Wo2KgFrU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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlnlsVVUQxm8p7bvv3vveUxDUuFBlKyAqi2BYZVERELSKQaERSDSahoII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          "],
          VertexColors->None], 
         PolygonBox[{{2628, 2627, 2816, 866, 2249}, {2119, 2118, 3622, 1396, 
          3624}, {2921, 944, 2922, 2129, 2130}, {2889, 2888, 3102, 1057, 
          1938}, {2686, 2685, 2901, 924, 2325}, {2773, 838, 2211, 2578, 
          2579}, {2130, 2129, 3663, 1419, 3662}, {3106, 1059, 3108, 2685, 
          2686}, {3959, 1693, 2197, 3422, 3423}, {2267, 1352, 3559, 3057, 
          3058}, {3428, 1270, 3430, 2042, 2043}, {2579, 2578, 3002, 996, 
          3004}, {3101, 1057, 3100, 2519, 2520}, {3158, 3157, 3881, 1604, 
          3882}, {1947, 1596, 3871, 2888, 2889}, {2647, 2646, 1925, 1043, 
          3080}, {1885, 996, 3003, 1980, 1981}, {3061, 1030, 1913, 2646, 
          2647}, {2520, 2519, 2431, 968, 2952}, {2043, 2042, 2758, 828, 
          2757}, {3046, 1022, 3048, 2627, 2628}, {3664, 1419, 2355, 3157, 
          3158}, {3058, 3057, 3060, 1030, 3059}, {2900, 924, 2899, 2118, 
          2119}, {3423, 3422, 2198, 1270, 3429}, {1981, 1980, 3964, 1696, 
          3963}},
          VertexColors->None]}]}, 
      {RGBColor[0.7638400874430495, 0.8474011984449813, 0.9134893299090165], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtl3us1nMcx391ztPzuzzP7xcizCWJ0WVMKYkVRRmd6pwT07rINGOrk1Aq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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlnlsVVUQxi+8vr777n0LJKiYuKBSE7ZoAIssCgqiiViwFA1GQYhoMGGR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          "],
          VertexColors->None], 
         PolygonBox[{{2054, 1172, 3294, 3202, 3203}, {2563, 2562, 2990, 989, 
          2989}, {3668, 1422, 3670, 3235, 3236}, {3203, 3202, 3206, 1113, 
          3205}, {2201, 835, 2768, 2562, 2563}, {3236, 3235, 3343, 1208, 
          2131}},
          VertexColors->None]}]}, 
      {RGBColor[0.8235566356354903, 0.8673150760633851, 0.8867363698327503], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFV3to1mUU/rV9l9/9U+ivQqFSIo02s5lpIJrzU9TazYJIG2Z/BOmm87IM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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlmtolmUYx+/NvXv3HN73sQiCIiEMIiYq1KQwsMxDYeYOamFoozQI0uVM
nZLlKTs5iZxOnQnO/FaemofM2phgZh5QI00oLbXICDSwDzml37//++GG63qu
430d/vdz74tN9bPKQwibORWcx4shLMmFcBsfJ6YhdCchXO4Xwk6+TY5CqIPv
EI/8R/jDVSE0wn+NvBXbbdg042gu53Po+XEIMfIryHuQr+Ecgj5WGcIq6HbO
N/BXiX0T3a7Utsf49jL+15bk33JmwPcif4rY4zgHoWuyEB6EHkWMYdC16AyD
nwY/G9tqfJ4oC2EO/h+A3sS3oznbfAzdwGmFn4pOA3dpRmcpujdkA32RU4uv
A5wF3P0KfH2JH0+sc9g/CT0HfyvhG5D/A307d1ieJwb8AOTLiTEE+bzYvhVj
LvRpzmjkRzgf4H9vlePtQX8Jvjcgvwd+BP468XcnfF1wzDPQy9DZi+4IYp7A
/hY6R6FvqQeFED5CfrWfa9ZI/Bux+7UQ+YHUNrLdQU7Hodchv7sUbwrydmze
RD6Wbz8gOwo/Bt0V8DXov4//Aznbd5H7DmzmYPs6Zyf0Pr7VodvDWYT+X5x+
Fe5JN74mwLcFz1MtdJTYv2oYQ6/A/371B51e7nYqdq91xxz0ysS1+46zVvPJ
t+vljtGSt450VWPV+qHEuSvGUHJrokb/Vni+3yh65jR7mpGNmj18vKB8mdc9
zNc4zqxKz/j21D1Sr67h81TiHZGvXZxFRfsUrx2ahq/K1LOh+02KfSfdTT06
if27RfO683vQjXn3ezf8dfhfyHdUznccQv7L+bYPvj9nK/y2yL2QvWr3bGRb
5Xca/89Fzlczdon4E7XDle6ZerePeKvxPRL58dg7qd38SjOD/ST5z/n+2vXp
ss95R7WrUyNjgWZMs7Y79Xwpx7eR10f2JXlf7J3WbvfCL06MIbK/CX8x8c5p
17Rzf6D/fORZ0kz9Dn8h7/yUw7qiZ6ynpP8F9fiw4NpoR5Yiryp43l4h/6jg
HVU/VE/NzmBsPqtwjVXrQfCfwk/ntKeeAc2CMKxN/ZG/Ms/Qa9Dz8sYa2VSh
ux+bJ/B9HJvd8JuQb0Feg3wg/OLI2CiMbCH+2MS0MKKAbDzx91Y43834Ws23
RfhL8XMW+5ci+57NmZAZY4Q1simQzyrtPPxPyhl5a2xsF8Y/Rv6Pwh8kVh8x
fyX2QmF0mWdiW2aMU/01L5fRbUY+vtwYW4esLzWWqT43oY+g81vwjjydOaZi
T+a0ot+UdyztlHZrIDn+jf4h+PtUb3SW5Yx5HbExSFgkfiN8JfW4n/xibM9k
xkTJhVntyG+phuWeR70tSeRaqqajE/uQL2H+MGQd+FtbZoyYT/yJRb8FA7Sf
2jdsaqBfJceZxBoeWSZMn4msvoQ3miHt9rnIWKY38o7IM6PazOCsh/6z9H5o
RjXLTUW/ZYrxDPzWorFZM/0J9OHM2PsW8jbhG3xzpWum2g3PXFthRHfeM6BZ
kE4t9F2Z89HMtyG/AD84754/Qi67UmO1eqbetSbGUs2YZk0zplnTG6C3YGPB
b5160AG9pejeCbM6i+6JeqOansf3gqKxYjV8C/TQxNgn/B0C3ZX5X0A9m6ba
ZcbOPuFRZsy6VnoPhV1jUvdaMzwa+vuSXPfX2ziv4LdPM7xL71mp/tpp7fb6
KucijDuJ/pep/xW0o9rV/9+wMmPWeeRbI+vewH42vtOCd1H1jKE7U/Pa6bPc
+53Se6U3cQq2Y1PvumZas10dOXfdYaT+PzJjn3aqXr0tOJYwRdiyIfXsVFOj
DPmlxNgojBTWrok8G9rxn/HXP7OudlL/Mi2Zayl/G7jbw7FneXBpFk7Exnph
urB9e2Jd3XkH9H+EI2j1
          "],
          VertexColors->None], 
         PolygonBox[{{3590, 1372, 2295, 3103, 3104}, {3642, 1406, 3641, 2320, 
          2321}, {3138, 3137, 3643, 1406, 2341}, {3475, 1297, 3474, 2473, 
          2474}, {2321, 2320, 3778, 1515, 3780}, {2433, 1515, 3779, 3129, 
          3130}, {2595, 2594, 3045, 1021, 1904}, {2700, 2699, 3638, 1405, 
          3640}, {2987, 2986, 3006, 997, 3005}, {2115, 2114, 2898, 923, 
          2897}, {2656, 2655, 3589, 1372, 3588}, {2474, 2473, 3468, 1294, 
          3470}, {2213, 1296, 3473, 3458, 3459}, {3648, 1409, 3647, 2699, 
          2700}, {2510, 2509, 2290, 901, 2866}, {3104, 3103, 2297, 1374, 
          3593}, {3592, 1374, 3594, 2114, 2115}, {2340, 1405, 3639, 3137, 
          3138}, {3459, 3458, 3476, 1297, 2214}, {2212, 1294, 3469, 2986, 
          2987}, {3130, 3129, 3777, 1514, 2432}, {2869, 902, 2291, 2509, 
          2510}, {2865, 901, 2867, 2655, 2656}, {2790, 849, 2792, 2594, 
          2595}},
          VertexColors->None]}]}, 
      {RGBColor[0.8832731838279311, 0.887228953681789, 0.8599834097564841], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtl1eMVVUUhg8zc8u55ZwII5YELOCbEQsYQxOR8mCbGZSiEoiFqoAFZEQF
MmMstCi9C8ygQALogFIFAUWNwWRICCgZJArEYHgxJkaZ6P/l3w83e5+1115t
/+vf+97yzNS6KRVRFN3TIYoqNS6Po6hRgtNpFDVIsFXzC1q7KRdFXfXbko2i
JwqWZUtR9Jtkw6UzQfpdNG/NaF3fIzVur4qii9J7WN+TNV6R/Vh7qiUvaBwp
O39rbZTGS/oN0vwp+e+kve3SaZP/sZI3at9dxSgqa22pZEM1v0bzFZr3TqLo
bn1v094Tkm1UDBulv0r7NijWZZKvl+8e0mmU/p0ap0lnjHS6SadN83rptCr+
xSH3BdK5VGn/D0ivoRxFH8lGc975kSf5/Kw912n+k8aWjOepxvoq50y+b6WO
Y7bGByRbrbX24JsYLmo8qbXBWjun/Vtjx7xYPs/qe5/mx7X+gvwd0e9P7Rmf
ej5F69O1P1acMzSOk/xFyScrzqdj28T2Ds1Xan5Y8wMaH62w3nztuVZ7B6iG
n+cd18WSz5XzrdN6ZdlneA0xSt5T8Q/RuEQ2zymvbyXvI3u1kg/U/tXa01Hf
t2v9dc0jzTtr3pSxzj8S3at9u6u8tq/keu3XOKnKe0fJ3+mcvzdK/qbi6yv5
cNlZVHaNz8jvMMm+DjapBTX5ouB8yGuB5rdI/5h0zkt/dsb2wcfNsnur5Fnp
Liy75tQeLIBDzqZFe2ZKZ69012WNyX5a25XxeTM/Kaz01zhCe2PF8Ibmr+o3
NWP7tYrp8QrrXJbN6WBcvybJd6nmjyjO9xXDTvn6Xj4+TY1j8NyraD/k2zfE
NTjYOVUwVulXMAW2/pB8nWKtke21GhsqfDacC33MOQ7uYEwNC2tgBzl7qC9+
Dslvh5xxTi8f1vdF6Y3JWY4MrJDv9JDLTMUzSfM5stGqPPYHHpiQ9xltUI7L
EmPvOensr3BdyKVn1r3M/mawre/NqTmIHOlLOIOawAUHi+7pbUXniM4mfQ/R
ODqc3ayQH3Kwjl9657Ti6pzxGZzMuB/gr27CwHHOSz7XKM46ycbFtkGtwBg9
VB/s/1sI/qQzo8o4of7oNwS/zVnjgfpwzq8FHfCE/h74s2BsjJSdjqnPqVV1
3ZuxXXjnv4ztYHN94njGS793heMktnr5+rLSNR2heXXWZ4PPGcHvxxnzCHXA
3qxgs6VkW9tLxhx1/kH2z8TGb61kHyXGDZy0s2hu3KGxe844APPYZE6+36SW
LZSND2P7Opv4DuEuIQ7qfiBw0YrE81+0likYs60Fn+fKUPNVeffhTNnulDVH
w8/cF8w3yM6Bks+F86GnwS01JK7uAa/cYcRxJdSka4hnSc7cdGNqbIGxJvmc
FjuOg5If0u8UtdbYXvIdd1XjHXn31grN47L5LV82xzGH0+BUzhe9LqGXuEfO
yX6L5G2x+bUlcNRXlfY1OsSMfnvA9r6Ab3gNfhsv/0erPKcm8MT+0F/cWfQk
/cg5Hw069D3xE8/e1PpXYvfr0cCrtfreov0v63x2p+bqfYGrB2TNp/0Tc2tf
jRdK5qP5mh/NWk4uJwr2uUc5vF/0WX2smOtk8xXpDQt9D28nsvlrzpgeIfnv
BedRr31XZa864/1wDZzRWz57hPqfL/sup08/iP2+4B1D7c8V3Ifw7ryiMXZS
suGp+2ai9Nsz5ne4HT7+LmtOBCNgBcwcCZxCH7Upz0g6S2Njsing8kTGdx79
yb5Pwt65qXXmpOYOsPpb0e8F+Ac8HEvMh7xx3k7cv7tLvj/rso4b3XlZ618K
Naf2VYk5knfTgtg9SC/Sm/AR2JmXmA8+C28SasL3C3nnxTtibeIc1ml8LHV8
z4Y7Hz6CNzYmxtamxLEwJ57nY/MtfP9kbB/vJK41sdPfYJE7gjXqyx1Hv80p
ei826F14kP4lfvySD+8wZI2JZdQf+XuJbb6rcVPWvABOwC9nwHktio2hnxPf
59XhrG+LjbuBqmFT4ruhWeOqsu+LlWXz6+lwd3QIb2Hy7RT7vr8p8dnjF36c
EJur4ex7U59dr9R4BbdzY/tvDzFsDnnx3qSv6B1444nA9T8W7Jt44FjuJ/C1
q+S3LVgH58sL7jnewnAJfch3nPhNwtsHngCv9CQYbwlvDDgHvgGXvLV5H9SE
vqK/4Dl6hVpwb9HD1Hip1t9K3DuzE99nrPM+OpTzndQH/qw0N/GWuS+803iH
vpS4R2q0r1tqblmnfRPz5uZ3JOse7mjuavLolTXWiZ0c+oX3DP894Db+S+Dn
csEcsyVgYHHOb47rUt9B5Dwk8GLvcJ9uD3citb8hta/rU9d+c9b1/yvxPTs2
/Icgt0HhTqb3sfN2as7mfd2Qeu+Kst/E3A0LC8Yc2OsuWU3oNXoObIBj6vtg
3ndxnjPU2v2Sr5Hfh/LGSL/E/AhP/lowV/QJuXB/1wYb2KsO/6/gGOzgm3uR
XMAXmAbb8NXa8J4ckPcZcBaTNF8W+50zv2i8bwrvY/qaniZnMII9cMD/ATA9
VPb+B1Xr5I8=
          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlltsVVUQhhdt6Tn7nNO9I6CoL9gKD/ogYgANAoIRSBRNKcrFSzBqwkUU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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.941176, 0.906538, 0.834043], EdgeForm[None], 
       GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFVU1sVGUU/XwzfW9eZ+Y9xbTS2gTqjoSUyMaNkEa6UhKMCy0JgYSEtEWi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          "],
          VertexColors->None], 
         PolygonBox[{{4058, 232, 1814, 4059}, {4050, 1790, 239, 2014}, {3944, 
          1679, 254, 2020}, {3927, 1656, 252, 2019}, {4051, 1792, 362, 
          2396}, {4039, 1758, 231, 2012}, {4032, 1751, 303, 2479}, {3724, 
          1469, 1666, 3301}, {3645, 1408, 790, 2123}, {2015, 239, 1792, 
          4051}, {2542, 362, 1745, 4025}, {4030, 254, 1749, 4031}, {3857, 
          1580, 1202, 3331}, {3711, 632, 232, 3710}, {3082, 904, 613, 3081}, {
          3481, 252, 1301, 3482}, {2649, 613, 131, 2648}, {3803, 969, 632, 
          2447}, {3863, 1128, 146, 1939}, {4057, 1814, 1293, 3471}, {1948, 
          146, 1598, 3874}, {2409, 1745, 1656, 3926}, {2155, 1678, 1677, 
          3942}, {3257, 578, 1739, 4019}, {1902, 94, 1678, 3943}, {3967, 1293,
           79, 3966}, {3301, 1666, 1180, 3303}, {4018, 1739, 1469, 3723}, {
          2215, 1698, 969, 2954}, {3975, 1707, 815, 2153}, {2154, 1706, 1707, 
          3975}, {2449, 303, 1790, 4050}, {3644, 528, 1408, 3646}, {3477, 
          1298, 1698, 2215}, {4065, 1841, 418, 3361}, {2743, 815, 94, 1902}, {
          3480, 1301, 1534, 3971}, {2230, 434, 1706, 3973}, {4006, 1598, 344, 
          4005}, {2012, 231, 1488, 3744}, {2002, 131, 1580, 3858}, {3745, 
          1489, 361, 2152}, {3615, 780, 510, 2323}, {2407, 1488, 1487, 
          3743}, {3743, 1487, 1489, 2408}, {3968, 418, 1298, 3969}, {2526, 
          344, 528, 2527}, {3942, 1677, 1679, 2156}, {1887, 79, 576, 3008}, {
          3256, 576, 578, 3257}, {3804, 1534, 1758, 2450}, {2326, 925, 780, 
          2682}, {2702, 790, 925, 2326}, {3864, 510, 904, 3865}, {2112, 1202, 
          1127, 3229}, {4029, 1749, 1751, 2416}, {3302, 1180, 434, 2230}, {
          3229, 1127, 1128, 3230}, {2151, 361, 1841, 4065}},
          VertexColors->None]}]}}, {{}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2425, 2649, 2648, 2862, 2002, 3858, 3857, 3331, 2112, 3229, 
          3230, 3231, 3863, 1939, 2892, 1948, 3874, 3873, 4006, 4005, 2122, 
          2911, 2526, 2527, 2345, 3644, 3646, 3645, 2123, 2702, 2326, 2682, 
          2116, 3615, 2323, 3105, 3864, 3865, 2871, 3082, 3081, 2511, 2425}],
         "0.225`"],
        Annotation[#, 0.225, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2393, 3254, 3256, 3257, 4019, 4018, 3723, 3724, 3301, 3303, 
          3302, 2230, 3973, 3974, 4060, 2154, 3975, 2153, 2743, 1902, 3943, 
          2155, 3942, 2156, 3944, 2020, 2942, 4030, 4031, 4029, 2416, 4032, 
          2479, 2449, 4050, 2014, 2940, 2015, 4051, 2396, 2542, 4025, 2409, 
          3926, 3927, 2019, 2939, 3754, 3481, 3482, 3480, 3971, 2217, 3970, 
          3804, 2450, 4039, 2012, 3744, 2407, 3743, 2408, 3745, 2152, 3360, 
          2151, 4065, 3361, 3828, 3968, 3969, 3478, 3477, 2215, 2954, 3803, 
          2447, 3479, 2448, 3711, 3710, 2013, 4058, 4059, 4057, 3471, 3467, 
          3967, 3966, 1982, 1887, 3008, 2393}],
         "0.225`"],
        Annotation[#, 0.225, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2214, 3459, 2213, 3716, 3717, 3253, 3255, 2783, 2228, 3722, 
          2394, 3719, 3721, 3720, 4026, 3746, 3747, 3362, 3364, 3363, 3921, 
          3920, 3919, 2403, 4021, 3258, 3259, 2809, 3697, 2384, 3696, 2385, 
          3698, 3922, 3923, 2943, 2944, 2405, 3734, 2404, 3736, 2016, 3748, 
          3749, 3261, 3260, 2811, 2397, 3044, 1904, 2595, 2790, 2791, 2395, 
          2795, 2793, 2937, 2787, 2788, 2392, 3027, 2391, 3712, 3829, 1888, 
          1983, 3899, 3898, 4063, 2445, 4038, 2446, 3806, 2453, 3805, 2452, 
          4040, 2216, 2774, 2455, 4056, 2451, 2957, 2454, 2956, 2955, 2771, 
          2565, 2770, 3894, 3893, 3191, 2380, 3741, 3742, 3740, 2406, 3252, 
          3251, 3246, 2389, 2767, 2766, 1976, 2992, 2991, 3444, 2202, 3960, 
          3443, 4015, 4016, 4017, 3709, 2390, 3007, 3005, 2987, 2212, 3470, 
          2474, 3475, 2214}],
         "0.2`"],
        Annotation[#, 0.2, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2680, 2113, 2887, 2317, 2678, 2677, 3579, 3324, 3325, 3224, 
          2094, 3553, 2095, 2642, 3078, 2645, 2864, 2863, 2097, 2951, 2508, 
          2869, 2510, 2866, 2865, 2656, 3588, 3590, 3104, 3593, 3592, 2115, 
          2897, 2521, 2523, 3866, 1940, 3336, 3337, 3232, 3234, 2008, 1950, 
          3875, 3143, 2348, 2715, 2714, 1954, 2711, 3142, 3141, 2528, 2346, 
          2701, 3648, 2700, 3640, 2340, 3138, 2341, 3642, 2321, 3780, 2433, 
          3130, 2432, 2680}],
         "0.2`"],
        Annotation[#, 0.2, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{3442, 3424, 3440, 3439, 3708, 1886, 3006, 2986, 3469, 3468, 
          2473, 3474, 3476, 3458, 3473, 3472, 3714, 3715, 3023, 3022, 2577, 
          2227, 2478, 3718, 1986, 3025, 3024, 3730, 2400, 3263, 3266, 3267, 
          2402, 3695, 2382, 3268, 2383, 3041, 1901, 2614, 1918, 2616, 4064, 
          2617, 2246, 2620, 3042, 1903, 1991, 4022, 3732, 3733, 3726, 4020, 
          2398, 2814, 3735, 2813, 2938, 2386, 2812, 3984, 2248, 3725, 3043, 
          3045, 2594, 2792, 2232, 2941, 2233, 2794, 2381, 2789, 3976, 2231, 
          3713, 3026, 3028, 2583, 2775, 2218, 3802, 2444, 3484, 3483, 3205, 
          3203, 2054, 4055, 3295, 3824, 3195, 2203, 3447, 2046, 3445, 3446, 
          2994, 3706, 4014, 2388, 3248, 3249, 3250, 2762, 3916, 3915, 3247, 
          3705, 3704, 2989, 2563, 2201, 2769, 2469, 3441, 3442}],
         "0.175`"],
        Annotation[#, 0.175, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2264, 2603, 2601, 2821, 1996, 1910, 3848, 3323, 2092, 3223, 
          3225, 3226, 3855, 3856, 2674, 2675, 2316, 2518, 2315, 2885, 2679, 
          3776, 3777, 3129, 3779, 3778, 2320, 3641, 3643, 3137, 3639, 3638, 
          2699, 3647, 3649, 3156, 2347, 3650, 2128, 2712, 3162, 2716, 2358, 
          3667, 2131, 3236, 3668, 3669, 2362, 2720, 2363, 2925, 2132, 2717, 
          2351, 3341, 2125, 3233, 3340, 3338, 3621, 2688, 2895, 2896, 2522, 
          2324, 2898, 2114, 3594, 2297, 3103, 2295, 3589, 2655, 2867, 2290, 
          2509, 2291, 2868, 2096, 2825, 2826, 2644, 2643, 1924, 2641, 1912, 
          3053, 2495, 2264}],
         "0.175`"],
        Annotation[#, 0.175, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2786, 2582, 2229, 3729, 2399, 3262, 3264, 3265, 2808, 3918, 
          3917, 3269, 2401, 3731, 2244, 3065, 2245, 3527, 2082, 2615, 3068, 
          2618, 2084, 2810, 2085, 2619, 3069, 3070, 2623, 3727, 2624, 2249, 
          2628, 3046, 3047, 3904, 3903, 3983, 2247, 3985, 3986, 3531, 3530, 
          2072, 3504, 3505, 3030, 3213, 3837, 1893, 1987, 3900, 3901, 3500, 
          3503, 3502, 2064, 3485, 3486, 3010, 3830, 3831, 1984, 3206, 3202, 
          3294, 3293, 1878, 1977, 3194, 3192, 2045, 3400, 2185, 2993, 3399, 
          3823, 3398, 2557, 2759, 1972, 2974, 2973, 3707, 2183, 3702, 3703, 
          3700, 2387, 3701, 1877, 2990, 2562, 2768, 2044, 2757, 2043, 3428, 
          3429, 3423, 3959, 3958, 1975, 1876, 3822, 2988, 3438, 3437, 2053, 
          3462, 3463, 3457, 3965, 3963, 1981, 1885, 3004, 2579, 2773, 2063, 
          2782, 2477, 2785, 2786}],
         "0.15`"],
        Annotation[#, 0.15, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{3552, 3547, 2261, 2638, 2091, 2858, 2093, 2640, 2289, 2672, 
          2861, 2860, 2110, 2886, 2517, 2952, 2520, 3101, 1938, 2889, 1947, 
          3872, 3131, 3637, 3636, 2322, 3790, 3791, 3139, 3140, 1949, 2908, 
          1952, 3882, 3158, 3664, 3662, 2130, 2921, 2534, 2535, 3666, 3665, 
          3342, 3343, 3235, 3670, 3912, 2009, 3671, 2719, 2721, 2931, 2930, 
          2537, 2928, 2133, 2718, 3144, 2531, 2529, 2913, 2124, 3625, 2329, 
          3339, 2328, 2689, 3624, 2119, 2900, 2325, 2686, 3106, 3107, 2681, 
          3089, 3088, 3087, 2296, 3591, 2100, 2870, 2292, 2653, 3079, 3080, 
          2647, 3061, 3059, 3058, 2267, 2611, 2610, 2822, 2262, 2494, 2493, 
          2824, 2078, 2602, 2260, 2492, 2491, 3551, 3552}],
         "0.15`"],
        Annotation[#, 0.15, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2761, 2556, 3699, 2554, 2755, 1971, 1872, 2972, 2564, 2181, 
          2758, 2042, 3430, 2198, 3422, 2197, 2468, 3427, 2467, 3435, 2200, 
          3413, 2199, 3433, 2568, 3001, 2999, 2983, 2209, 2472, 3964, 1980, 
          3003, 3002, 2578, 2211, 2772, 2062, 2780, 2781, 2581, 2580, 2784, 
          3728, 1899, 3039, 2592, 2243, 2487, 1990, 1900, 2612, 3852, 3851, 
          3066, 2273, 3562, 2083, 3221, 3563, 3906, 1997, 3564, 2621, 2622, 
          2277, 2841, 2498, 2499, 2275, 2630, 2276, 2840, 2086, 2815, 2816, 
          2627, 3048, 2625, 1920, 2634, 3537, 3538, 3529, 3541, 3540, 2489, 
          3534, 3535, 3029, 3049, 3836, 1905, 2596, 3508, 3509, 3501, 3511, 
          3510, 2480, 3506, 3507, 3009, 3031, 1894, 2584, 3487, 3298, 3299, 
          3204, 2055, 3296, 2204, 3287, 2048, 3193, 3285, 3284, 3403, 2752, 
          2763, 2764, 2464, 2463, 2765, 2036, 2558, 2182, 2462, 2461, 2760, 
          2761}],
         "0.125`"],
        Annotation[#, 0.125, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2953, 2431, 2519, 3100, 3102, 2888, 3871, 2890, 2337, 3133, 
          2336, 3633, 2894, 3788, 2436, 3150, 2437, 3794, 2343, 3660, 2909, 
          3881, 3157, 2355, 3663, 2129, 2922, 2360, 2536, 3163, 1955, 2729, 
          1959, 3346, 3347, 3237, 2139, 3349, 3887, 2735, 2141, 3672, 3673, 
          3164, 3883, 1956, 2010, 2926, 2927, 2725, 2364, 2724, 2722, 2917, 
          2709, 2912, 2349, 2530, 2350, 2704, 2703, 3114, 3113, 3112, 3623, 
          3622, 2118, 2899, 2901, 2685, 3108, 2683, 2873, 2835, 3580, 3581, 
          3086, 3585, 3583, 2099, 2830, 2831, 2652, 2829, 2650, 1925, 2646, 
          1913, 3060, 3057, 3559, 3558, 2080, 2823, 2263, 2607, 3052, 2600, 
          2077, 2798, 2237, 2598, 2597, 1909, 3315, 3902, 3316, 3215, 2076, 
          3548, 2258, 3546, 2257, 3987, 1995, 1908, 2635, 2636, 2287, 2506, 
          2856, 2855, 2639, 2859, 2671, 2673, 2883, 2882, 2111, 2953}],
         "0.125`"],
        Annotation[#, 0.125, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2180, 3387, 2179, 3395, 2561, 1875, 2985, 2969, 3426, 3425, 
          2466, 3434, 3436, 3412, 3432, 3431, 2567, 1884, 3000, 2982, 3461, 
          3460, 2471, 3465, 3466, 3451, 2210, 3464, 2576, 3017, 3015, 2575, 
          2224, 2476, 1985, 3019, 3018, 2593, 3934, 2071, 2807, 2486, 2488, 
          3040, 2613, 3936, 2081, 2836, 2496, 2497, 3067, 1917, 2837, 1929, 
          3326, 3327, 3222, 3329, 3907, 3328, 1931, 2657, 2658, 2278, 2660, 
          3071, 1919, 1998, 2839, 2629, 2845, 2632, 2848, 2847, 2500, 2843, 
          2844, 2626, 3072, 3073, 2633, 3539, 2252, 3528, 2253, 2490, 3845, 
          1993, 3533, 2250, 3312, 2251, 3536, 2073, 3512, 2234, 3033, 3838, 
          3839, 1988, 3978, 3979, 3977, 3981, 3980, 2065, 3972, 2219, 3832, 
          3833, 3210, 3209, 3207, 2056, 3297, 3826, 1879, 3825, 3199, 3198, 
          3196, 2047, 3286, 3816, 2978, 2188, 3404, 2168, 3397, 2184, 2976, 
          3815, 3281, 2035, 3186, 3280, 3279, 1873, 3814, 2552, 2034, 2751, 
          2033, 2756, 2178, 2555, 2177, 2460, 2459, 3396, 2180}],
         "0.1`"],
        Annotation[#, 0.1, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2067, 3214, 3517, 3518, 3520, 3519, 2588, 2589, 2236, 2483, 
          3038, 1896, 2599, 1911, 2604, 2801, 2606, 2804, 2803, 2079, 3555, 
          3556, 3056, 2265, 3554, 2806, 2828, 2269, 2651, 2270, 2832, 2098, 
          3584, 2294, 3085, 2293, 3582, 2834, 2874, 2299, 2684, 2300, 2875, 
          2117, 3619, 3620, 3111, 3617, 3616, 2692, 2903, 2705, 2707, 2915, 
          2914, 2127, 2710, 2352, 2723, 2134, 2929, 2135, 2726, 2365, 2736, 
          2143, 3686, 2374, 4007, 2373, 4062, 3684, 4054, 3683, 3240, 2142, 
          3350, 2371, 2539, 2538, 2933, 2140, 3682, 2369, 3348, 3886, 2730, 
          3680, 2138, 2924, 2361, 2727, 2359, 2920, 2713, 3657, 3658, 3159, 
          3661, 3659, 2342, 3792, 3793, 3149, 3789, 3787, 2893, 3631, 3632, 
          3132, 3635, 3634, 2318, 3774, 3775, 3123, 2430, 3773, 2676, 2879, 
          2311, 2516, 2312, 2669, 2668, 3077, 3076, 2507, 2505, 2857, 2089, 
          3549, 3550, 3074, 2259, 3314, 2075, 3219, 2074, 3515, 3516, 3034, 
          3840, 3841, 1989, 3513, 3514, 3307, 2067}],
         "0.1`"],
        Annotation[#, 0.1, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[LineBox[CompressedData["
1:eJwl1GloyHEcx/GfTdjM3GabiITUhBwl5kg5CsWTjViuRq5cuXJEjpCYPXIk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          "]],
         "0.075`"],
        Annotation[#, 0.075, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1892, 3835, 3020, 2226, 3499, 2061, 2572, 2206, 2998, 2207, 
          3455, 2470, 3452, 2205, 2979, 2995, 2996, 2566, 3417, 3418, 3408, 
          3420, 3419, 2465, 3414, 3415, 2965, 2981, 1874, 2560, 3391, 3392, 
          3383, 2175, 3393, 2458, 3388, 2174, 2958, 2967, 2968, 2546, 2547, 
          2163, 2549, 2960, 2961, 1966, 2747, 2748, 2544, 2025, 2750, 2457, 
          3371, 3372, 2962, 3809, 3274, 2026, 3182, 2027, 3275, 3810, 3278, 
          2028, 3184, 2029, 3377, 2166, 3375, 2165, 3376, 2746, 3951, 2169, 
          3378, 3380, 3379, 2037, 3187, 3189, 3190, 3817, 3290, 2049, 3200, 
          3201, 1978, 1880, 2569, 1889, 3834, 3011, 3489, 3488, 2059, 3211, 
          3491, 3492, 3494, 3493, 2571, 3495, 2221, 3035, 2222, 2587, 2586, 
          3844, 3843, 3037, 3524, 3523, 2069, 2802, 2484, 2485, 2948, 2947, 
          2799, 3757, 3758, 3054, 3760, 3759, 2241, 3763, 2420, 3062, 2419, 
          3762, 2827, 3764, 2422, 3083, 2424, 3765, 2271, 3771, 2426, 3090, 
          3770, 3769, 2872, 3597, 3598, 3109, 3600, 3599, 2120, 2902, 2524, 
          2525, 3117, 1941, 2708, 3146, 3145}],
         "0.05`"],
        Annotation[#, 0.05, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{1930, 2838, 3994, 3995, 3604, 2302, 2695, 2694, 1942, 3332, 
          3333, 3228, 3335, 3908, 3334, 1944, 2696, 3613, 2305, 3607, 2306, 
          2512, 2003, 3998, 2304, 3610, 3612, 3611, 2104, 2849, 2105, 2662, 
          3096, 1932, 2663, 3570, 3571, 3566, 2283, 3572, 2502, 3569, 2282, 
          3050, 3853, 3320, 2088, 3217, 3322, 3905, 3321, 1921, 2817, 2818, 
          2950, 2949, 2256, 2853, 2854, 2504, 2001, 1923, 2667, 1935, 3862, 
          3098, 2310, 3614, 2109, 2670, 2428, 3121, 2429, 3772, 2313, 3628, 
          2335, 3125, 2334, 3627, 2891, 3782, 3783, 3147, 3786, 3785, 2338, 
          3654, 3655, 3152, 3653, 3652, 2910, 3796, 3797, 3165, 2440, 3799, 
          2356, 3676, 2368, 3168, 2367, 3675, 2731, 2732, 2370, 3173, 3174, 
          3175, 2737, 1961, 3179, 2738, 2145, 2934, 2146, 3690, 3691, 3689, 
          2377, 3357, 2147, 3244, 3692, 3693, 2378, 2742, 2148, 2945, 2541, 
          3694, 2379, 3180, 3889}],
         "0.05`"],
        Annotation[#, 0.05, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1883, 3827, 2997, 2208, 3456, 2051, 3410, 2193, 2980, 3818, 
          3819, 1973, 3956, 2191, 3407, 2192, 3409, 2040, 3385, 2173, 2966, 
          3811, 3812, 1969, 3952, 2171, 3382, 2172, 3384, 2030, 3369, 2162, 
          2959, 3807, 3808, 1965, 3947, 3948, 3368, 3950, 3949, 2023, 3928, 
          2024, 3929, 1868, 2543, 3946, 2158, 3945, 2159, 2456, 1964, 3365, 
          2157, 3272, 2021, 3181, 3366, 3367, 2160, 3273, 2022, 3183, 3750, 
          3751, 2410, 2744, 2161, 2411, 4041, 1867, 2745, 1869, 4042, 2414, 
          2754, 2753, 3381, 2170, 3282, 2038, 3188, 2039, 3283, 2189, 3406, 
          2190, 3955, 2050, 3895, 3896, 3897, 1881, 2570, 1890, 3931, 3932, 
          3930, 2060, 4027, 4028, 3755, 2415, 3756, 2776, 2777, 2223, 4043, 
          1891, 2590, 1897, 4044, 2417, 2238, 2418, 4045, 1898, 2805, 1914, 
          4046, 2421, 2268, 2423, 4047, 1916, 2833, 1927, 4048, 2427, 2298, 
          3992, 3993, 3860, 3861, 1928, 2690, 3116, 3115}],
         "0.025`"],
        Annotation[#, 0.025, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{1943, 3937, 3938, 3909, 3999, 2006, 4000, 3939, 3940, 3910, 
          4001, 2007, 4002, 4003, 3941, 2121, 3911, 4004, 2332, 3118, 3119, 
          3120, 2697, 2698, 2309, 4049, 1933, 2004, 2307, 4053, 2308, 2106, 
          2850, 2851, 2665, 2664, 1934, 2666, 3574, 3575, 3573, 2284, 2503, 
          2000, 2852, 2820, 2286, 3989, 3991, 3990, 2107, 2876, 2513, 2514, 
          3099, 1936, 2877, 1945, 3869, 3122, 2333, 3626, 2314, 3781, 2434, 
          3126, 3127, 3128, 2906, 3878, 3877, 3148, 2353, 3651, 2339, 3795, 
          2438, 3153, 3154, 3155, 2918, 3885, 3884, 3166, 2366, 3674, 2357, 
          3800, 2441, 3169, 3170, 3171, 2932, 1960, 3888, 3178, 4009, 4008, 
          2144, 3914, 4010, 4011, 4013, 4012, 2740, 2442, 4037, 2443, 2936, 
          2935, 3891, 3890, 3358, 2149, 3245, 2150, 3359, 3737, 4023, 4024, 
          3924, 3925, 2017, 2946, 2018, 3271, 3270, 3739, 3738, 3801}],
         "0.025`"],
        Annotation[#, 0.025, "Tooltip"]& ]}, {}, {}}}],
   AspectRatio->1,
   Frame->True,
   ImageSize->300,
   PlotRange->{{-2, 2}, {-2, 2}},
   PlotRangeClipping->True,
   PlotRangePadding->{
     Scaled[0.02], 
     Scaled[0.02]}], TraditionalForm]], "Output"]
}, Closed]],

Cell["Marginals for mixture", "Subsubsection"],

Cell[BoxData[
 RowBox[{
  RowBox[{"marginal", "[", "x1_", "]"}], ":=", 
  RowBox[{"Integrate", "[", 
   RowBox[{
    RowBox[{"mix", "[", 
     RowBox[{"{", 
      RowBox[{"x1", ",", "x2"}], "}"}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"x2", ",", 
      RowBox[{"-", "Infinity"}], ",", "Infinity"}], "}"}]}], 
   "]"}]}]], "NumberedEquation"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"Clear", "[", "marginal", "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"marginal", "[", "x1_", "]"}], ":=", 
   RowBox[{"0.5", "*", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"NIntegrate", "[", 
       RowBox[{
        RowBox[{"PDF", "[", 
         RowBox[{"ndist1", ",", 
          RowBox[{"{", 
           RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], ",", 
        RowBox[{"{", 
         RowBox[{"x2", ",", 
          RowBox[{"-", "Infinity"}], ",", "Infinity"}], "}"}]}], "]"}], " ", 
      "+", " ", 
      RowBox[{"NIntegrate", "[", 
       RowBox[{
        RowBox[{"PDF", "[", 
         RowBox[{"ndist2", ",", 
          RowBox[{"{", 
           RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], ",", 
        RowBox[{"{", 
         RowBox[{"x2", ",", 
          RowBox[{"-", "Infinity"}], ",", "Infinity"}], "}"}]}], "]"}]}], 
     ")"}]}]}], ";"}]}], "Input"],

Cell[BoxData[
 RowBox[{
  RowBox[{"gg2", "=", 
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"marginal", "[", "x1", "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"x1", ",", 
       RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", 
     RowBox[{"PlotStyle", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"Red", ",", "Thick"}], "}"}]}], ",", 
     RowBox[{"Axes", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"False", ",", "False"}], "}"}]}]}], "]"}]}], ";"}]], "Input"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"Clear", "[", "marginal", "]"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"marginal", "[", "x2_", "]"}], ":=", 
   RowBox[{"0.5", "*", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"NIntegrate", "[", 
       RowBox[{
        RowBox[{"PDF", "[", 
         RowBox[{"ndist1", ",", 
          RowBox[{"{", 
           RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], ",", 
        RowBox[{"{", 
         RowBox[{"x1", ",", 
          RowBox[{"-", "Infinity"}], ",", "Infinity"}], "}"}]}], "]"}], " ", 
      "+", " ", 
      RowBox[{"NIntegrate", "[", 
       RowBox[{
        RowBox[{"PDF", "[", 
         RowBox[{"ndist2", ",", 
          RowBox[{"{", 
           RowBox[{"x1", ",", "x2"}], "}"}]}], "]"}], ",", 
        RowBox[{"{", 
         RowBox[{"x1", ",", 
          RowBox[{"-", "Infinity"}], ",", "Infinity"}], "}"}]}], "]"}]}], 
     ")"}]}]}], ";"}]}], "Input"],

Cell[BoxData[
 RowBox[{
  RowBox[{"gg3", "=", 
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"0.0333", "*", 
      RowBox[{"marginal", "[", "x2", "]"}]}], ",", 
     RowBox[{"{", 
      RowBox[{"x2", ",", 
       RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", 
     RowBox[{"PlotStyle", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"Green", ",", "Thick"}], "}"}]}], ",", 
     RowBox[{"Axes", "\[Rule]", 
      RowBox[{"{", 
       RowBox[{"False", ",", "False"}], "}"}]}]}], "]"}]}], ";"}]], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"theta", "=", 
   RowBox[{"Pi", "/", "2"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Show", "[", 
  RowBox[{"gg1", ",", 
   RowBox[{"ImageSize", "\[Rule]", "200"}], ",", 
   RowBox[{"Epilog", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"Inset", "[", 
       RowBox[{"gg2", ",", 
        RowBox[{"{", 
         RowBox[{"0", ",", 
          RowBox[{"-", "3"}]}], "}"}], ",", 
        RowBox[{"{", 
         RowBox[{"0", ",", "0"}], "}"}]}], "]"}], ",", 
      RowBox[{"Inset", "[", 
       RowBox[{"gg3", ",", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"-", "2"}], ",", "0"}], "}"}], ",", 
        RowBox[{"{", 
         RowBox[{"0", ",", "0"}], "}"}], ",", "Automatic", ",", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"Cos", "[", "theta", "]"}], ",", 
            RowBox[{"Sin", "[", "theta", "]"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"Sin", "[", "theta", "]"}], ",", 
            RowBox[{"-", 
             RowBox[{"Cos", "[", "theta", "]"}]}]}], "}"}]}], "}"}]}], 
       "]"}]}], "}"}]}]}], "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  GraphicsBox[GraphicsComplexBox[CompressedData["
1:eJyEfXVYlM/3tomoqNjd3YUdg4WIiF0oiu1HsTCwmzIIBRXBQOxEbGpAFCSl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    "], {{
      {RGBColor[0.293416, 0.0574044, 0.529412], EdgeForm[None], 
       GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmWmQldURhr+5g/e7d+be+7FZOrIIirINqBiWmRHBpMAAmpSgJS6ViqAI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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlU9sVVUQxs9r4d53633vJgQiCVYiBlDEADWEQqIbEw2gC4ukgiy0FQsF
XltoA+FfkYVAoVhQpAUTBQwgFl0ZSGChJhVQEWiDSjBBAQXFYAixbvl9fiwm
me98c+bMzJkz55G6pppSWQihDRmCrM2H0J4L4UsWqwshvJGFsDAKoRuuHr0+
DeF4eQjN8HXo/8UhjMJ+GzIAPlgMIUOvhT+EPhUf07Ffz9pqfDfjY2uZz1gD
Pg5uw38Va8fQx2FfhGtGxmsva3Phn+P8eZx1DnwHvFKxgp9+IIRO/I8m+C7w
D/C34fvZ35aE0Aruwncn+B3O21gRwib2jsd+IvGuTGwrn/I9gZh34i9hTyVc
Jz63YT8IfwH+LPI3egNrjXAlbNbmnOPX+P4e/k/4k6y1wG2KHetd1s5nFum3
lD/8KuI/wd5fWNsKfgjJc/ZX4I+x/YiYP8D2LGsbqMdi/NUGn6Gzlic+SzEp
tj3EH8Dt5LcX/VvWrkeOUbF25V2L0/h7CX/fwd+I7LMe343kUEY8lezfDl6I
/SLsp2D/MPZnsL+K/UjsZ8P347MB7kVsLqCfZ60d7gr4FHgyNR5e7pwmoa+O
XTvdke5qGvJy5DuuRu9P3SvqqUFsN+JjSZnvpI98hoJrc/bZoViJb31kH/Kl
GqqWl5E+cAl+J/oOZDF4GbJL9UBu4P8xclqR81oJblTqXlJOyu39zLkdg9+N
nuLvLfQB5AT4EjHMJJYj2HwO92/Buc8ZyttAn4fNOmyHk/MLnLcrsy/V6Db2
B8BbwD3g/eifIH3gJzi/kVhew6Yj8tphuBHIpMg9vBl/r4DXRD7jJrgJ+3fF
s7+b+B+lv3LEN5uYxqCfzBz7AvhPi66BaiEf8nUE+QZ9KTILfSnyXuQaqVbT
C+6dDeB1nPUb+weD3/DczD2r3m1AnkfvRc4F+zyK/lPsXDVT9qm2sXtJPape
PZW6d+XzKtw/iWunO2yE/zG+P4vAH4JrCn4b24lnR953rrvXmR3qHaQl555V
76oH1AuqkWr1f46Ra6xa36UmwyK/uS+o11j4B/G/jxqOQ38bfxqYB8AD2J5J
Pas08/4gti2JZ+Nn8D/DD0lc+xjuIvuvsNYK3ozNr+hjC76rEmvL8n5zenu6
s0UVnjmaPep59f61omuvGXod/a+ic9eMu4Xew/4ZkWeiZuP8omMZA/9M4hji
+zOtHPxs0bkoxyngusy13Q3/us4uuJc1EzQbqlLPRp1RCX80di7qkSXg+Uh7
5Deit1KVeXZoxj2FPjFzLL3gJ9FHFzz7NWPeVP55/yV60yvgmxL3qt5YL7Ge
Tl0r/RG/c/bjBf9Vquly/ScV/nt05y3g7syzVm+mJ/Mb1VvVzNPsU4+qV/UG
Z8IdxuesyH9cK/WbkzpW3XkNenXqXtBMmpb6jeqtas9kfL2a+a9SDRag3wNn
ifn+
          "],
          VertexColors->None]}]}, 
      {RGBColor[0.38385589053236346`, 0.2146549449865527, 0.6565362069289884],
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFWHmYTucVv/Nt97vf3VSLPhhppCQYMmhqtM2m1GNJDRW1NY0ZtAajtola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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtmHmQVNUVxl9P79P9XitRK8VmIoIBBjKACKilhoiGRQWCJAzGCAMYQGZA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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.47429608655519295`, 0.3719060211385236, 0.7836608432617831],
        EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJw1mHv41+MZxz+/vqfP9/v9PJ+vdFC/UubYohljbde2ZDOh4RpbaolKU5Rq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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtl3mQVdURxu+8eeu8d+/IzgAOCoqERcRgkU0FQ0QkoDGJDrIvAZQBFAJh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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.5644939071733955, 0.5286468240601321, 0.9095140845541401], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFmHn0VVUVx+/vx7vv3fveu/eqID8QNH+OaUIMkckQKkNggcvEQFBZDAW4
UMNWywGFUjRRc0gyEVwmlgwag67y55SCOCKiuQJBICcMjVEUzYk+X76n5R9v
7XP23Xuffc7Z+7v3ec1jL/rxhY1RFM1viKJW0I61KLqEQQfogVkUPVKKogOg
4+MomgJ/B3LLkihaDF0A/6Dc31pD1/F9K/JT+XZZEUVDsPdYJYo6I3c046WM
G5EbhXwr6BZ+/0DnTtaK+bYU3d3ovgr/JMZD6lHUBdlrylHUB/7eKrrI15E/
H5uHwZuX4gey1waZM7HTlbUakB2I7nts7hX4e5DZgO7RjMc3WkfyE1ljEONJ
0BWJ7W/B9id1y+yVD/jThXFvxlMK23+QdY5h3oCtDvDu4fsMfPguNjsyz7Ez
HR/+VfIe5euU2HzpdMPv65gPwvYFyJXgT4Z+B5snoNMZfgfol8heEXlt+dAd
/u8Yj2E8C7oTP5qw3Uc+Y/Np5PdCdwX+E9gcXdi3bciPZf4FMmOgK6FrWPco
7B+fmS5BbzZ+nY/8hawxHJ0+uovc/EnwVyDXq+a9DODM9iW+t7msMyC1zGad
E3RJyTHzZO59dcfegKr31ISNA/h9pvPAxoG5Zb9k3K1sP2X3OOb9oJvw8TV+
u+APxsY0bJ2Fzek6G9ZtC//eqs9dvh0MP8ocV/0K25Y/g6Cb4ReMG5EZIZuM
b2OdK5kPY7wempQd0z0ws7Du8+iI7FMNvm/d9XnoPM64LfyesX17Dv4E9rUU
vfs4z7nY2YFMX+Z/bnR+bUBma+wzuQX+KHx+TX5h72R0b0bmFOjEzLrDMueB
8kHrN6WOI8Vgj8R7msN4SGZ/9/F9Vs33exv0IuhodLchtxO5eco16OXIN8K/
nPN5jPG3GD+uc27lWLoa+RZ+9yI/FruPpt7fata8Bf3vCQ+4t5sYd1e8oTsb
2QXKReTHsvYoxqcj/yEyf+JbB8ZH5s6HoxTPic/ol/iwHP3O8FdAL+XXHxtv
oJcicwe674bYl50pkf2Vb/KxWjJG7c9v5t2CD3Ma/V3z9WXntWSexOZw5Hdx
9r2w07XBe3yv5HsXjo0P/g9F9keZ8e1GxXzdsfQV9G3o2iA/GflljE/inPYi
9z68DJndqTFQWLg2xMq6cPa12Fi5umZcFb4eg3wh7OJ8rsssMw/+QYnP+UZs
zsyMZ/ORHYkPt5d8XvcjM599zuA8N2Dj4bD3Jnhty97nW3XLJ8jOC3dWZdw6
2Nd9Nlftz4v49VL9a5x4pubzXQltx/wJdJtUC0Kc9ax5zbtKtvUc823wX4B+
H7kN8HtCz9E+4Y9lj3+perwY+n7duluhd5M/p+DzUYX3KD91pyuYf4T869j8
MPde3gqx0Sf2PV6TGfPvqzleTo4dM0eUrTsmMi4IHxqQPS42XzH9CvMTma9K
XFuUd6oXyhvxJfMN7F6G/OHCQu7gC3h/zx2PY0K+TA7YHuPbixWv/4uKfewV
/Fxc9lj+7KgbW7ZDP0+df1clzjfl3fP4tZE77YT8I8zvR24cdBF0Pd96w38Z
2SH49EfsfTu37d7BvrBKOLac8VOZ7TwJvRU/2wkroOdUjFUVxiMrjs2M8R2x
9aVbShx7V6L7z4ox7NaKMVg9w2i+dchcK+6Hfyz6P2V8CeOH2Ndc5Dbj40z8
HoX89dB/J8bF7egdmDhObywca4pjxfC7qfNReTk94P9u9vgi8j3wb3Xmet7S
aD/nhjP8deI4UDy0QP+TWuaD1JgibLlMsZ0ao9fg5wup685xyM+uuY4vrPk8
F4c8egO5C9Cdj42XK65r06HPZI6ZZ6Erq8bS3fCrhXuSLvAG822L9o5vfVir
Gf5S+G+VnCOq37oD3cUEZKfUfK7Dke/EfKjwjnXP1l2rZ8NGBb9mlow1a/l2
M+N9rPt63XVB9UH1TXzNdefS1ZlqfeWy4mltbEyTne2sdxbzT9GdWXjvNxSu
8yv53Rl7r8vKrk3Czi3B/u1Vx4Tq8+kV15U5Nee04kTftNc3S+6rri8cpyuR
7ZeZfzXrn5a7D1E/8k7m3u5daBthIDY6F66TquPqtQaWvRftSf7NjR2LGs+J
vcef5R4PTN1rTIrdb6gvU/8p/J2QW/cHyNwVW1+6k8K+ZfOU1D7IF/VNswNf
eDYr9rfzco/PzX1OyvH9dbzmmFHsdC25x1PetqoZK66C36Nq2Tfhtc/tZzto
+6rz4ln4X2XGXmHwpsS9hHqKeu66X4OuLezbOMY/zL0/1ZmOVWPKodA2NeNc
MzbGZo55xb5yRfmvnPqk6t6nKTGWTQn+lrHfzN4uVp9fGJ8+qBt7hLm610NY
725sjqg5n1WPhOfC3Y5BRnWqXeBrf4eWXU9U05pC3imfldfCyLaBL/muwaZw
VTGuHm5/3OPzO3zbhV5euPdrVXeMr4tduzfW7LN8v6fi/k193L6a+/Dx2NjO
udXUS0On/b93ytyzqr9sZDwau0didwHyZ1RcN9fUjT3SVT7vy73fr3JjjTBn
FutuDP2n+lDVJfXBisluueuL6kxbxkegswn5E5kvwe5EfPxJYnwQTigv54R4
nV31Xgbn7o/Ul8vX0cx/r7oA7RTsF6lxXHjev+Z7GBVqrvr0TmX3NMo3xfWi
qtfXfrXGN+H3Q+bYwvqyc2fFNUA58VfkB4Vcmpi7Xx4aG/efLtyfrVTfkvjd
thMbrQuve23F7xnhot49iyqOx/bq3zPb2Qmdlrq3fiI3Fp5RNo4dH7sXVCwp
ptRjPBzipVvo/VRfVWdfUr9a8RvpU+z9NuCe8C+q299Tq36HaA8Ndb9hdEYR
695VOE/bh/euclPn1pf93MS4kvqtOTh2rqr+jAz92/uZ+VuhD1W9x0WhzgjX
hGmKLZ35CNbsWzd2nAw9MXGsjqu679SaH6uu1twDR4X32hL2K5zTfQlz1HcL
B5QDbet+fzaF+jwyxIDe5NJZnTt3KuFs29T9tmgdavKwsJfDCr9x9K4VfgnH
WlLvRftQvCqW9f7fHXpK1fsHEtdI1cqu0EcT92ctmd/8wvgxjK+suO//HL0Z
iWtnf/hT4SeMP4V/SOaeZ2F4Q++IHeurcu9bvZLqqOrpaujzuWWuTv3/hfof
9UHN8P7Q6J5YOCI8aV/3fwGqXUOheyqOuVfhz0r8v8O5mfsq1dpxrHVD4jfG
afCvqPrcvoC3MPMaizL3jMNjr6H4Uxy+h19/S429wuBHMsf0o3qTpsZt4Xep
br1VqXuX/T1MqOHCPc3fQP80vUOhD4Z+bFnqN6Tekgez1n1V35F6k1015+P6
xOeqOFfcLq/4TB5I/Q5UX7ycO1+YG1cvSP0+Ua84I3MN/zh27VlVs65stCD/
DvyHA0ZprDfaNVW/c/Xe7RneDhdj/zB0L9X/TYn7+iK8B9Vfqs88Ab3PE5/t
/jPmdybyjyXeq8aSeztzHuq/pfHhPw7VyY+Ynw1/D3Rtbp9/kxqTFas6o2b4
P4d/OHRiWFd97rDwZp8M/VXi/4BOZfxZ5jv9L7ShMBY9UzHG6WxTeCPC/y1n
141biqWhAafmhB74usRvzgHYeSXE7cXQyan7tgX4MzXUpuuh/wNEQJAG
          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtmHm0VXUVx8/j3fvuufeecy+IMg/rqYSpGENEDiDGEFDAMjUgBGQKMNFw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          "],
          VertexColors->None], 
         PolygonBox[{{2311, 910, 2878, 2515, 2516}, {2606, 2605, 2240, 857, 
          2804}, {3533, 1333, 3532, 1992, 1993}, {2138, 2137, 2923, 945, 
          2924}, {1993, 1992, 1906, 1569, 3845}, {2801, 855, 2239, 2605, 
          2606}, {2848, 889, 2281, 2631, 2632}, {2516, 2515, 2881, 911, 
          2312}, {2632, 2631, 2280, 888, 2845}, {2692, 2691, 2904, 927, 
          2903}, {2575, 2574, 3016, 1004, 3015}, {2224, 842, 2779, 2574, 
          2575}, {3680, 1429, 3679, 2137, 2138}, {3616, 1392, 3618, 2691, 
          2692}},
          VertexColors->None]}]}, 
      {RGBColor[0.6309883783779655, 0.6354849370024664, 0.9110299536918338], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFl3+QVlUZx++y+3Lve+9730XNAgLZFdxd0rSyHxqVIuGY2JCakYCELEOo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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtl3eMFVUUxu9b9vHmTXkWUEFXZEV3wR47FqSIUcFgiRVsCxJUFGuMomLB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          "],
          VertexColors->None], 
         PolygonBox[{{2894, 2893, 3631, 1402, 3633}, {2829, 876, 2269, 2651, 
          2652}, {2099, 2098, 3584, 1370, 3583}, {3529, 3528, 2252, 1336, 
          3538}, {2336, 1402, 3632, 3132, 3133}, {2437, 1522, 3793, 3149, 
          3150}, {2343, 2342, 3792, 1522, 3794}, {3435, 1272, 3434, 2466, 
          2467}, {2568, 2567, 3431, 1271, 3433}, {2467, 2466, 3425, 1269, 
          3427}, {3660, 1418, 3659, 2342, 2343}, {3413, 3412, 3436, 1272, 
          2200}, {3133, 3132, 3635, 1403, 2337}, {3788, 1520, 3787, 2893, 
          2894}, {2209, 1289, 3461, 2982, 2983}, {2652, 2651, 2270, 877, 
          2831}, {2830, 877, 2832, 2098, 2099}, {3537, 1336, 3539, 2633, 
          2634}, {3585, 1370, 2294, 3085, 3086}, {3150, 3149, 3789, 1520, 
          2436}, {3001, 995, 1884, 2567, 2568}, {2634, 2633, 3073, 1038, 
          1920}, {3541, 1337, 2253, 3528, 3529}, {2199, 1271, 3432, 3412, 
          3413}, {3086, 3085, 2293, 1369, 3581}, {3580, 1369, 3582, 2834, 
          2835}, {2983, 2982, 3000, 995, 2999}, {2835, 2834, 2874, 906, 
          2873}},
          VertexColors->None]}]}, 
      {RGBColor[0.6974828495825356, 0.7423230499448008, 0.9125458228295276], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtl3mMleUVxj/u3Jn77WOLKCZWQRAQJVqguMFMRUWE6UhR3Ce1Wo2KgFrU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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlnlsVVUQxm8p7bvv3vveUxDUuFBlKyAqi2BYZVERELSKQaERSDSahoII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          "],
          VertexColors->None], 
         PolygonBox[{{2628, 2627, 2816, 866, 2249}, {2119, 2118, 3622, 1396, 
          3624}, {2921, 944, 2922, 2129, 2130}, {2889, 2888, 3102, 1057, 
          1938}, {2686, 2685, 2901, 924, 2325}, {2773, 838, 2211, 2578, 
          2579}, {2130, 2129, 3663, 1419, 3662}, {3106, 1059, 3108, 2685, 
          2686}, {3959, 1693, 2197, 3422, 3423}, {2267, 1352, 3559, 3057, 
          3058}, {3428, 1270, 3430, 2042, 2043}, {2579, 2578, 3002, 996, 
          3004}, {3101, 1057, 3100, 2519, 2520}, {3158, 3157, 3881, 1604, 
          3882}, {1947, 1596, 3871, 2888, 2889}, {2647, 2646, 1925, 1043, 
          3080}, {1885, 996, 3003, 1980, 1981}, {3061, 1030, 1913, 2646, 
          2647}, {2520, 2519, 2431, 968, 2952}, {2043, 2042, 2758, 828, 
          2757}, {3046, 1022, 3048, 2627, 2628}, {3664, 1419, 2355, 3157, 
          3158}, {3058, 3057, 3060, 1030, 3059}, {2900, 924, 2899, 2118, 
          2119}, {3423, 3422, 2198, 1270, 3429}, {1981, 1980, 3964, 1696, 
          3963}},
          VertexColors->None]}]}, 
      {RGBColor[0.7638400874430495, 0.8474011984449813, 0.9134893299090165], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtl3us1nMcx391ztPzuzzP7xcizCWJ0WVMKYkVRRmd6pwT07rINGOrk1Aq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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlnlsVVUQxi+8vr777n0LJKiYuKBSE7ZoAIssCgqiiViwFA1GQYhoMGGR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          "],
          VertexColors->None], 
         PolygonBox[{{2054, 1172, 3294, 3202, 3203}, {2563, 2562, 2990, 989, 
          2989}, {3668, 1422, 3670, 3235, 3236}, {3203, 3202, 3206, 1113, 
          3205}, {2201, 835, 2768, 2562, 2563}, {3236, 3235, 3343, 1208, 
          2131}},
          VertexColors->None]}]}, 
      {RGBColor[0.8235566356354903, 0.8673150760633851, 0.8867363698327503], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFV3to1mUU/rV9l9/9U+ivQqFSIo02s5lpIJrzU9TazYJIG2Z/BOmm87IM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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlmtolmUYx+/NvXv3HN73sQiCIiEMIiYq1KQwsMxDYeYOamFoozQI0uVM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          "],
          VertexColors->None], 
         PolygonBox[{{3590, 1372, 2295, 3103, 3104}, {3642, 1406, 3641, 2320, 
          2321}, {3138, 3137, 3643, 1406, 2341}, {3475, 1297, 3474, 2473, 
          2474}, {2321, 2320, 3778, 1515, 3780}, {2433, 1515, 3779, 3129, 
          3130}, {2595, 2594, 3045, 1021, 1904}, {2700, 2699, 3638, 1405, 
          3640}, {2987, 2986, 3006, 997, 3005}, {2115, 2114, 2898, 923, 
          2897}, {2656, 2655, 3589, 1372, 3588}, {2474, 2473, 3468, 1294, 
          3470}, {2213, 1296, 3473, 3458, 3459}, {3648, 1409, 3647, 2699, 
          2700}, {2510, 2509, 2290, 901, 2866}, {3104, 3103, 2297, 1374, 
          3593}, {3592, 1374, 3594, 2114, 2115}, {2340, 1405, 3639, 3137, 
          3138}, {3459, 3458, 3476, 1297, 2214}, {2212, 1294, 3469, 2986, 
          2987}, {3130, 3129, 3777, 1514, 2432}, {2869, 902, 2291, 2509, 
          2510}, {2865, 901, 2867, 2655, 2656}, {2790, 849, 2792, 2594, 
          2595}},
          VertexColors->None]}]}, 
      {RGBColor[0.8832731838279311, 0.887228953681789, 0.8599834097564841], 
       EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJwtl1eMVVUUhg8zc8u55ZwII5YELOCbEQsYQxOR8mCbGZSiEoiFqoAFZEQF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          "],
          VertexColors->None], PolygonBox[CompressedData["
1:eJwtlltsVVUQhhdt6Tn7nNO9I6CoL9gKD/ogYgANAoIRSBRNKcrFSzBqwkUU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          "],
          VertexColors->None]}]}, 
      {RGBColor[0.941176, 0.906538, 0.834043], EdgeForm[None], 
       GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxFVU1sVGUU/XwzfW9eZ+Y9xbTS2gTqjoSUyMaNkEa6UhKMCy0JgYSEtEWi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          "],
          VertexColors->None], 
         PolygonBox[{{4058, 232, 1814, 4059}, {4050, 1790, 239, 2014}, {3944, 
          1679, 254, 2020}, {3927, 1656, 252, 2019}, {4051, 1792, 362, 
          2396}, {4039, 1758, 231, 2012}, {4032, 1751, 303, 2479}, {3724, 
          1469, 1666, 3301}, {3645, 1408, 790, 2123}, {2015, 239, 1792, 
          4051}, {2542, 362, 1745, 4025}, {4030, 254, 1749, 4031}, {3857, 
          1580, 1202, 3331}, {3711, 632, 232, 3710}, {3082, 904, 613, 3081}, {
          3481, 252, 1301, 3482}, {2649, 613, 131, 2648}, {3803, 969, 632, 
          2447}, {3863, 1128, 146, 1939}, {4057, 1814, 1293, 3471}, {1948, 
          146, 1598, 3874}, {2409, 1745, 1656, 3926}, {2155, 1678, 1677, 
          3942}, {3257, 578, 1739, 4019}, {1902, 94, 1678, 3943}, {3967, 1293,
           79, 3966}, {3301, 1666, 1180, 3303}, {4018, 1739, 1469, 3723}, {
          2215, 1698, 969, 2954}, {3975, 1707, 815, 2153}, {2154, 1706, 1707, 
          3975}, {2449, 303, 1790, 4050}, {3644, 528, 1408, 3646}, {3477, 
          1298, 1698, 2215}, {4065, 1841, 418, 3361}, {2743, 815, 94, 1902}, {
          3480, 1301, 1534, 3971}, {2230, 434, 1706, 3973}, {4006, 1598, 344, 
          4005}, {2012, 231, 1488, 3744}, {2002, 131, 1580, 3858}, {3745, 
          1489, 361, 2152}, {3615, 780, 510, 2323}, {2407, 1488, 1487, 
          3743}, {3743, 1487, 1489, 2408}, {3968, 418, 1298, 3969}, {2526, 
          344, 528, 2527}, {3942, 1677, 1679, 2156}, {1887, 79, 576, 3008}, {
          3256, 576, 578, 3257}, {3804, 1534, 1758, 2450}, {2326, 925, 780, 
          2682}, {2702, 790, 925, 2326}, {3864, 510, 904, 3865}, {2112, 1202, 
          1127, 3229}, {4029, 1749, 1751, 2416}, {3302, 1180, 434, 2230}, {
          3229, 1127, 1128, 3230}, {2151, 361, 1841, 4065}},
          VertexColors->None]}]}}, {{}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2425, 2649, 2648, 2862, 2002, 3858, 3857, 3331, 2112, 3229, 
          3230, 3231, 3863, 1939, 2892, 1948, 3874, 3873, 4006, 4005, 2122, 
          2911, 2526, 2527, 2345, 3644, 3646, 3645, 2123, 2702, 2326, 2682, 
          2116, 3615, 2323, 3105, 3864, 3865, 2871, 3082, 3081, 2511, 2425}],
         "0.225`"],
        Annotation[#, 0.225, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2393, 3254, 3256, 3257, 4019, 4018, 3723, 3724, 3301, 3303, 
          3302, 2230, 3973, 3974, 4060, 2154, 3975, 2153, 2743, 1902, 3943, 
          2155, 3942, 2156, 3944, 2020, 2942, 4030, 4031, 4029, 2416, 4032, 
          2479, 2449, 4050, 2014, 2940, 2015, 4051, 2396, 2542, 4025, 2409, 
          3926, 3927, 2019, 2939, 3754, 3481, 3482, 3480, 3971, 2217, 3970, 
          3804, 2450, 4039, 2012, 3744, 2407, 3743, 2408, 3745, 2152, 3360, 
          2151, 4065, 3361, 3828, 3968, 3969, 3478, 3477, 2215, 2954, 3803, 
          2447, 3479, 2448, 3711, 3710, 2013, 4058, 4059, 4057, 3471, 3467, 
          3967, 3966, 1982, 1887, 3008, 2393}],
         "0.225`"],
        Annotation[#, 0.225, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2214, 3459, 2213, 3716, 3717, 3253, 3255, 2783, 2228, 3722, 
          2394, 3719, 3721, 3720, 4026, 3746, 3747, 3362, 3364, 3363, 3921, 
          3920, 3919, 2403, 4021, 3258, 3259, 2809, 3697, 2384, 3696, 2385, 
          3698, 3922, 3923, 2943, 2944, 2405, 3734, 2404, 3736, 2016, 3748, 
          3749, 3261, 3260, 2811, 2397, 3044, 1904, 2595, 2790, 2791, 2395, 
          2795, 2793, 2937, 2787, 2788, 2392, 3027, 2391, 3712, 3829, 1888, 
          1983, 3899, 3898, 4063, 2445, 4038, 2446, 3806, 2453, 3805, 2452, 
          4040, 2216, 2774, 2455, 4056, 2451, 2957, 2454, 2956, 2955, 2771, 
          2565, 2770, 3894, 3893, 3191, 2380, 3741, 3742, 3740, 2406, 3252, 
          3251, 3246, 2389, 2767, 2766, 1976, 2992, 2991, 3444, 2202, 3960, 
          3443, 4015, 4016, 4017, 3709, 2390, 3007, 3005, 2987, 2212, 3470, 
          2474, 3475, 2214}],
         "0.2`"],
        Annotation[#, 0.2, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2680, 2113, 2887, 2317, 2678, 2677, 3579, 3324, 3325, 3224, 
          2094, 3553, 2095, 2642, 3078, 2645, 2864, 2863, 2097, 2951, 2508, 
          2869, 2510, 2866, 2865, 2656, 3588, 3590, 3104, 3593, 3592, 2115, 
          2897, 2521, 2523, 3866, 1940, 3336, 3337, 3232, 3234, 2008, 1950, 
          3875, 3143, 2348, 2715, 2714, 1954, 2711, 3142, 3141, 2528, 2346, 
          2701, 3648, 2700, 3640, 2340, 3138, 2341, 3642, 2321, 3780, 2433, 
          3130, 2432, 2680}],
         "0.2`"],
        Annotation[#, 0.2, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{3442, 3424, 3440, 3439, 3708, 1886, 3006, 2986, 3469, 3468, 
          2473, 3474, 3476, 3458, 3473, 3472, 3714, 3715, 3023, 3022, 2577, 
          2227, 2478, 3718, 1986, 3025, 3024, 3730, 2400, 3263, 3266, 3267, 
          2402, 3695, 2382, 3268, 2383, 3041, 1901, 2614, 1918, 2616, 4064, 
          2617, 2246, 2620, 3042, 1903, 1991, 4022, 3732, 3733, 3726, 4020, 
          2398, 2814, 3735, 2813, 2938, 2386, 2812, 3984, 2248, 3725, 3043, 
          3045, 2594, 2792, 2232, 2941, 2233, 2794, 2381, 2789, 3976, 2231, 
          3713, 3026, 3028, 2583, 2775, 2218, 3802, 2444, 3484, 3483, 3205, 
          3203, 2054, 4055, 3295, 3824, 3195, 2203, 3447, 2046, 3445, 3446, 
          2994, 3706, 4014, 2388, 3248, 3249, 3250, 2762, 3916, 3915, 3247, 
          3705, 3704, 2989, 2563, 2201, 2769, 2469, 3441, 3442}],
         "0.175`"],
        Annotation[#, 0.175, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2264, 2603, 2601, 2821, 1996, 1910, 3848, 3323, 2092, 3223, 
          3225, 3226, 3855, 3856, 2674, 2675, 2316, 2518, 2315, 2885, 2679, 
          3776, 3777, 3129, 3779, 3778, 2320, 3641, 3643, 3137, 3639, 3638, 
          2699, 3647, 3649, 3156, 2347, 3650, 2128, 2712, 3162, 2716, 2358, 
          3667, 2131, 3236, 3668, 3669, 2362, 2720, 2363, 2925, 2132, 2717, 
          2351, 3341, 2125, 3233, 3340, 3338, 3621, 2688, 2895, 2896, 2522, 
          2324, 2898, 2114, 3594, 2297, 3103, 2295, 3589, 2655, 2867, 2290, 
          2509, 2291, 2868, 2096, 2825, 2826, 2644, 2643, 1924, 2641, 1912, 
          3053, 2495, 2264}],
         "0.175`"],
        Annotation[#, 0.175, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2786, 2582, 2229, 3729, 2399, 3262, 3264, 3265, 2808, 3918, 
          3917, 3269, 2401, 3731, 2244, 3065, 2245, 3527, 2082, 2615, 3068, 
          2618, 2084, 2810, 2085, 2619, 3069, 3070, 2623, 3727, 2624, 2249, 
          2628, 3046, 3047, 3904, 3903, 3983, 2247, 3985, 3986, 3531, 3530, 
          2072, 3504, 3505, 3030, 3213, 3837, 1893, 1987, 3900, 3901, 3500, 
          3503, 3502, 2064, 3485, 3486, 3010, 3830, 3831, 1984, 3206, 3202, 
          3294, 3293, 1878, 1977, 3194, 3192, 2045, 3400, 2185, 2993, 3399, 
          3823, 3398, 2557, 2759, 1972, 2974, 2973, 3707, 2183, 3702, 3703, 
          3700, 2387, 3701, 1877, 2990, 2562, 2768, 2044, 2757, 2043, 3428, 
          3429, 3423, 3959, 3958, 1975, 1876, 3822, 2988, 3438, 3437, 2053, 
          3462, 3463, 3457, 3965, 3963, 1981, 1885, 3004, 2579, 2773, 2063, 
          2782, 2477, 2785, 2786}],
         "0.15`"],
        Annotation[#, 0.15, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{3552, 3547, 2261, 2638, 2091, 2858, 2093, 2640, 2289, 2672, 
          2861, 2860, 2110, 2886, 2517, 2952, 2520, 3101, 1938, 2889, 1947, 
          3872, 3131, 3637, 3636, 2322, 3790, 3791, 3139, 3140, 1949, 2908, 
          1952, 3882, 3158, 3664, 3662, 2130, 2921, 2534, 2535, 3666, 3665, 
          3342, 3343, 3235, 3670, 3912, 2009, 3671, 2719, 2721, 2931, 2930, 
          2537, 2928, 2133, 2718, 3144, 2531, 2529, 2913, 2124, 3625, 2329, 
          3339, 2328, 2689, 3624, 2119, 2900, 2325, 2686, 3106, 3107, 2681, 
          3089, 3088, 3087, 2296, 3591, 2100, 2870, 2292, 2653, 3079, 3080, 
          2647, 3061, 3059, 3058, 2267, 2611, 2610, 2822, 2262, 2494, 2493, 
          2824, 2078, 2602, 2260, 2492, 2491, 3551, 3552}],
         "0.15`"],
        Annotation[#, 0.15, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2761, 2556, 3699, 2554, 2755, 1971, 1872, 2972, 2564, 2181, 
          2758, 2042, 3430, 2198, 3422, 2197, 2468, 3427, 2467, 3435, 2200, 
          3413, 2199, 3433, 2568, 3001, 2999, 2983, 2209, 2472, 3964, 1980, 
          3003, 3002, 2578, 2211, 2772, 2062, 2780, 2781, 2581, 2580, 2784, 
          3728, 1899, 3039, 2592, 2243, 2487, 1990, 1900, 2612, 3852, 3851, 
          3066, 2273, 3562, 2083, 3221, 3563, 3906, 1997, 3564, 2621, 2622, 
          2277, 2841, 2498, 2499, 2275, 2630, 2276, 2840, 2086, 2815, 2816, 
          2627, 3048, 2625, 1920, 2634, 3537, 3538, 3529, 3541, 3540, 2489, 
          3534, 3535, 3029, 3049, 3836, 1905, 2596, 3508, 3509, 3501, 3511, 
          3510, 2480, 3506, 3507, 3009, 3031, 1894, 2584, 3487, 3298, 3299, 
          3204, 2055, 3296, 2204, 3287, 2048, 3193, 3285, 3284, 3403, 2752, 
          2763, 2764, 2464, 2463, 2765, 2036, 2558, 2182, 2462, 2461, 2760, 
          2761}],
         "0.125`"],
        Annotation[#, 0.125, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2953, 2431, 2519, 3100, 3102, 2888, 3871, 2890, 2337, 3133, 
          2336, 3633, 2894, 3788, 2436, 3150, 2437, 3794, 2343, 3660, 2909, 
          3881, 3157, 2355, 3663, 2129, 2922, 2360, 2536, 3163, 1955, 2729, 
          1959, 3346, 3347, 3237, 2139, 3349, 3887, 2735, 2141, 3672, 3673, 
          3164, 3883, 1956, 2010, 2926, 2927, 2725, 2364, 2724, 2722, 2917, 
          2709, 2912, 2349, 2530, 2350, 2704, 2703, 3114, 3113, 3112, 3623, 
          3622, 2118, 2899, 2901, 2685, 3108, 2683, 2873, 2835, 3580, 3581, 
          3086, 3585, 3583, 2099, 2830, 2831, 2652, 2829, 2650, 1925, 2646, 
          1913, 3060, 3057, 3559, 3558, 2080, 2823, 2263, 2607, 3052, 2600, 
          2077, 2798, 2237, 2598, 2597, 1909, 3315, 3902, 3316, 3215, 2076, 
          3548, 2258, 3546, 2257, 3987, 1995, 1908, 2635, 2636, 2287, 2506, 
          2856, 2855, 2639, 2859, 2671, 2673, 2883, 2882, 2111, 2953}],
         "0.125`"],
        Annotation[#, 0.125, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{2180, 3387, 2179, 3395, 2561, 1875, 2985, 2969, 3426, 3425, 
          2466, 3434, 3436, 3412, 3432, 3431, 2567, 1884, 3000, 2982, 3461, 
          3460, 2471, 3465, 3466, 3451, 2210, 3464, 2576, 3017, 3015, 2575, 
          2224, 2476, 1985, 3019, 3018, 2593, 3934, 2071, 2807, 2486, 2488, 
          3040, 2613, 3936, 2081, 2836, 2496, 2497, 3067, 1917, 2837, 1929, 
          3326, 3327, 3222, 3329, 3907, 3328, 1931, 2657, 2658, 2278, 2660, 
          3071, 1919, 1998, 2839, 2629, 2845, 2632, 2848, 2847, 2500, 2843, 
          2844, 2626, 3072, 3073, 2633, 3539, 2252, 3528, 2253, 2490, 3845, 
          1993, 3533, 2250, 3312, 2251, 3536, 2073, 3512, 2234, 3033, 3838, 
          3839, 1988, 3978, 3979, 3977, 3981, 3980, 2065, 3972, 2219, 3832, 
          3833, 3210, 3209, 3207, 2056, 3297, 3826, 1879, 3825, 3199, 3198, 
          3196, 2047, 3286, 3816, 2978, 2188, 3404, 2168, 3397, 2184, 2976, 
          3815, 3281, 2035, 3186, 3280, 3279, 1873, 3814, 2552, 2034, 2751, 
          2033, 2756, 2178, 2555, 2177, 2460, 2459, 3396, 2180}],
         "0.1`"],
        Annotation[#, 0.1, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{2067, 3214, 3517, 3518, 3520, 3519, 2588, 2589, 2236, 2483, 
          3038, 1896, 2599, 1911, 2604, 2801, 2606, 2804, 2803, 2079, 3555, 
          3556, 3056, 2265, 3554, 2806, 2828, 2269, 2651, 2270, 2832, 2098, 
          3584, 2294, 3085, 2293, 3582, 2834, 2874, 2299, 2684, 2300, 2875, 
          2117, 3619, 3620, 3111, 3617, 3616, 2692, 2903, 2705, 2707, 2915, 
          2914, 2127, 2710, 2352, 2723, 2134, 2929, 2135, 2726, 2365, 2736, 
          2143, 3686, 2374, 4007, 2373, 4062, 3684, 4054, 3683, 3240, 2142, 
          3350, 2371, 2539, 2538, 2933, 2140, 3682, 2369, 3348, 3886, 2730, 
          3680, 2138, 2924, 2361, 2727, 2359, 2920, 2713, 3657, 3658, 3159, 
          3661, 3659, 2342, 3792, 3793, 3149, 3789, 3787, 2893, 3631, 3632, 
          3132, 3635, 3634, 2318, 3774, 3775, 3123, 2430, 3773, 2676, 2879, 
          2311, 2516, 2312, 2669, 2668, 3077, 3076, 2507, 2505, 2857, 2089, 
          3549, 3550, 3074, 2259, 3314, 2075, 3219, 2074, 3515, 3516, 3034, 
          3840, 3841, 1989, 3513, 3514, 3307, 2067}],
         "0.1`"],
        Annotation[#, 0.1, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[LineBox[CompressedData["
1:eJwl1GloyHEcx/GfTdjM3GabiITUhBwl5kg5CsWTjViuRq5cuXJEjpCYPXIk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          "]],
         "0.075`"],
        Annotation[#, 0.075, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1892, 3835, 3020, 2226, 3499, 2061, 2572, 2206, 2998, 2207, 
          3455, 2470, 3452, 2205, 2979, 2995, 2996, 2566, 3417, 3418, 3408, 
          3420, 3419, 2465, 3414, 3415, 2965, 2981, 1874, 2560, 3391, 3392, 
          3383, 2175, 3393, 2458, 3388, 2174, 2958, 2967, 2968, 2546, 2547, 
          2163, 2549, 2960, 2961, 1966, 2747, 2748, 2544, 2025, 2750, 2457, 
          3371, 3372, 2962, 3809, 3274, 2026, 3182, 2027, 3275, 3810, 3278, 
          2028, 3184, 2029, 3377, 2166, 3375, 2165, 3376, 2746, 3951, 2169, 
          3378, 3380, 3379, 2037, 3187, 3189, 3190, 3817, 3290, 2049, 3200, 
          3201, 1978, 1880, 2569, 1889, 3834, 3011, 3489, 3488, 2059, 3211, 
          3491, 3492, 3494, 3493, 2571, 3495, 2221, 3035, 2222, 2587, 2586, 
          3844, 3843, 3037, 3524, 3523, 2069, 2802, 2484, 2485, 2948, 2947, 
          2799, 3757, 3758, 3054, 3760, 3759, 2241, 3763, 2420, 3062, 2419, 
          3762, 2827, 3764, 2422, 3083, 2424, 3765, 2271, 3771, 2426, 3090, 
          3770, 3769, 2872, 3597, 3598, 3109, 3600, 3599, 2120, 2902, 2524, 
          2525, 3117, 1941, 2708, 3146, 3145}],
         "0.05`"],
        Annotation[#, 0.05, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{1930, 2838, 3994, 3995, 3604, 2302, 2695, 2694, 1942, 3332, 
          3333, 3228, 3335, 3908, 3334, 1944, 2696, 3613, 2305, 3607, 2306, 
          2512, 2003, 3998, 2304, 3610, 3612, 3611, 2104, 2849, 2105, 2662, 
          3096, 1932, 2663, 3570, 3571, 3566, 2283, 3572, 2502, 3569, 2282, 
          3050, 3853, 3320, 2088, 3217, 3322, 3905, 3321, 1921, 2817, 2818, 
          2950, 2949, 2256, 2853, 2854, 2504, 2001, 1923, 2667, 1935, 3862, 
          3098, 2310, 3614, 2109, 2670, 2428, 3121, 2429, 3772, 2313, 3628, 
          2335, 3125, 2334, 3627, 2891, 3782, 3783, 3147, 3786, 3785, 2338, 
          3654, 3655, 3152, 3653, 3652, 2910, 3796, 3797, 3165, 2440, 3799, 
          2356, 3676, 2368, 3168, 2367, 3675, 2731, 2732, 2370, 3173, 3174, 
          3175, 2737, 1961, 3179, 2738, 2145, 2934, 2146, 3690, 3691, 3689, 
          2377, 3357, 2147, 3244, 3692, 3693, 2378, 2742, 2148, 2945, 2541, 
          3694, 2379, 3180, 3889}],
         "0.05`"],
        Annotation[#, 0.05, "Tooltip"]& ]}, 
      {GrayLevel[0], Opacity[0.4], 
       TagBox[
        TooltipBox[
         LineBox[{1883, 3827, 2997, 2208, 3456, 2051, 3410, 2193, 2980, 3818, 
          3819, 1973, 3956, 2191, 3407, 2192, 3409, 2040, 3385, 2173, 2966, 
          3811, 3812, 1969, 3952, 2171, 3382, 2172, 3384, 2030, 3369, 2162, 
          2959, 3807, 3808, 1965, 3947, 3948, 3368, 3950, 3949, 2023, 3928, 
          2024, 3929, 1868, 2543, 3946, 2158, 3945, 2159, 2456, 1964, 3365, 
          2157, 3272, 2021, 3181, 3366, 3367, 2160, 3273, 2022, 3183, 3750, 
          3751, 2410, 2744, 2161, 2411, 4041, 1867, 2745, 1869, 4042, 2414, 
          2754, 2753, 3381, 2170, 3282, 2038, 3188, 2039, 3283, 2189, 3406, 
          2190, 3955, 2050, 3895, 3896, 3897, 1881, 2570, 1890, 3931, 3932, 
          3930, 2060, 4027, 4028, 3755, 2415, 3756, 2776, 2777, 2223, 4043, 
          1891, 2590, 1897, 4044, 2417, 2238, 2418, 4045, 1898, 2805, 1914, 
          4046, 2421, 2268, 2423, 4047, 1916, 2833, 1927, 4048, 2427, 2298, 
          3992, 3993, 3860, 3861, 1928, 2690, 3116, 3115}],
         "0.025`"],
        Annotation[#, 0.025, "Tooltip"]& ], 
       TagBox[
        TooltipBox[
         LineBox[{1943, 3937, 3938, 3909, 3999, 2006, 4000, 3939, 3940, 3910, 
          4001, 2007, 4002, 4003, 3941, 2121, 3911, 4004, 2332, 3118, 3119, 
          3120, 2697, 2698, 2309, 4049, 1933, 2004, 2307, 4053, 2308, 2106, 
          2850, 2851, 2665, 2664, 1934, 2666, 3574, 3575, 3573, 2284, 2503, 
          2000, 2852, 2820, 2286, 3989, 3991, 3990, 2107, 2876, 2513, 2514, 
          3099, 1936, 2877, 1945, 3869, 3122, 2333, 3626, 2314, 3781, 2434, 
          3126, 3127, 3128, 2906, 3878, 3877, 3148, 2353, 3651, 2339, 3795, 
          2438, 3153, 3154, 3155, 2918, 3885, 3884, 3166, 2366, 3674, 2357, 
          3800, 2441, 3169, 3170, 3171, 2932, 1960, 3888, 3178, 4009, 4008, 
          2144, 3914, 4010, 4011, 4013, 4012, 2740, 2442, 4037, 2443, 2936, 
          2935, 3891, 3890, 3358, 2149, 3245, 2150, 3359, 3737, 4023, 4024, 
          3924, 3925, 2017, 2946, 2018, 3271, 3270, 3739, 3738, 3801}],
         "0.025`"],
        Annotation[#, 0.025, "Tooltip"]& ]}, {}, {}}}],
   AspectRatio->1,
   Epilog->{
     InsetBox[
      GraphicsBox[{{{}, {}, {
          Hue[0.67, 0.6, 0.6], 
          RGBColor[1, 0, 0], 
          Thickness[Large], 
          LineBox[CompressedData["
1:eJwt2nk41N/3APBEC0VaJNEmCoVE1jgoS8ouFAmlBQmRirKkElmTkK1UiGzR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           "]]}}}, {
       AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], 
        Axes -> {False, False}, AxesOrigin -> {0, 0.1}, 
        PlotRange -> {{-2, 2}, {0.09036531716997694, 0.3175929580786691}}, 
        PlotRangeClipping -> True, PlotRangePadding -> {
          Scaled[0.02], 
          Scaled[0.02]}}], {0, -3}, {0, 0}], 
     InsetBox[
      GraphicsBox[{{{}, {}, {
          Hue[0.67, 0.6, 0.6], 
          RGBColor[0, 1, 0], 
          Thickness[Large], 
          LineBox[CompressedData["
1:eJwt2Hk0lV3UAHCSV8mUyFtmesmYMpVpR5cIhSIlbpJ5SJKhhFAZrvsgkTEh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           "]]}}}, {
       AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], 
        Axes -> {False, False}, AxesOrigin -> {0, 0}, 
        PlotRange -> {{-2, 2}, {0., 0.015367642849221158`}}, 
        PlotRangeClipping -> True, PlotRangePadding -> {
          Scaled[0.02], 
          Scaled[0.02]}}], {-2, 0}, {0, 0}, Automatic, {{0, 1}, {1, 0}}]},
   Frame->True,
   ImageSize->200,
   PlotRange->{{-2, 2}, {-2, 2}},
   PlotRangeClipping->True,
   PlotRangePadding->{
     Scaled[0.02], 
     Scaled[0.02]}], TraditionalForm]], "Output"]
}, Closed]],

Cell["\<\
Which projection (marginal) is more \"interesting\"--the one onto x1 or onto \
x2? 
Exploratory projection pursuit\
\>", "Text"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Graphical Models of dependence", "Section",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell["Graphs: causal structure and conditional independence", "Subsubsection"],

Cell[CellGroupData[{

Cell["\<\
In general, natural image pattern formation is specified by a \
high-dimensional joint probability, requiring an elaboration of the causal \
structure that is more complex than the simple SDT model.  The idea is to \
represent the probabilistic structure of the joint distribution P(S,L,I) by a \
Bayes net (e.g. Ripley, 1996}, which is a graphical model that expresses how \
variables influence each other.  There are  three basic building blocks: \
converging, diverging, and intermediate nodes.  For example, multiple (e.g. \
scene) variables causing a given image measurement, a single variable \
producing multiple image measurements, or a cause indirectly influencing an \
image measurement through an intermediate variable.  These types of influence \
provide a first step towards modeling the joint distribution and the means to \
compute probabilities of the unknown variables given known values.\
\>", "Text"],

Cell[GraphicsData["PICT", "\<\
=oH1nP6:0YP3B00A0_l<0?ooool1RP000OX000=80002V0000000000N00402P7j
0HX2V0=809X0003oQ_P1nP6:0YP3B00000@0000004P000180000400P00<02000
000003@D0C98c07j0HX2V0=80OX1RP:H0dP0000FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7o
POo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0`POn]o`J8EHQgIWNkPOn1oh7o
b_l6R5F8MfIg^h7oPOn1ol[o1XQER7MVMk^1oiko04gXo`KMIVJ8EHQgPOo>o`N8
8^kool`A^h7oQOl6gFIVR5F8Mh7oc_l7R2;^ooo<4K^1ohGo1]eVIXQER7N1olko
1hPRk_ooc16kPOnNo`1=jOl2kQ68o_l1ITB1olko0B8coOl1VK^1ohKo0^hAR?ko
0FI4POo>o`4R<ogo0IVkPOn6o`;^4HSno`5VA87oc_l18S?mo`6I^h7oW_l0PnWo
0YT0Z_go06J1olko1`00I^koonk<V_l6R5F8MfIg^j_o1[]gA4AEZ^kAo`:I0:[m
o`1VPOo>o`L006K^ooo^c9[o1XQER7MVMk^[o`JkMdA4EJ[^dOl2V@2ZoOl0IX7o
c_l7001Vk_ook/bJo`J8EHQgIWNkZol6^gM4A5FZk^Wo07OYo`>8016ko_l0^h7o
c_l4E@004HRHo`N88^kool`A^j[o0k/008S?o`>8016ko_l0^h7oc_l4E@004HRH
o`N88^kool`A^j[o0k/008S?o`>8016ko_l0^h7oc_l4E@004HRHo`N88^kool`A
^j[o0k/008SWo`2<jOl0c?h00DC<Xol6kWMVR6IgEK7o0L`AoP018[^Jo`4R<ogo
0IVkZ_l3^`00R<oo0<cn0054c:?o1^igIXQVMeFao`7<4Oh00B:kV_l18S?mo`6I
^j[o0k/008S?o`3<oP01A<bSo`K^MfJ8IWME/Ol1c17n004R^i[o0B8coOl1VK^Z
o`>k0028iol0S>So06Km005gkZGo0DAEo_l1V@2`o`7MA?d009VKo`L006K^ooo^
c:[o0k/008S>o`1Vo@01MnjUo`54EOko0IT0/?l1gDCm002IVol7001Vk_ook/bZ
o`>k0028c_l0I_d00GO^YOl1A5Gno`6I0;3o0Me4o@00VI_o1`00I^koonk<Z_l3
^`00R>Oo08cWo`684Oh00C?^Yol2g@1goOl0I[7o1nkook/R000AVol4E@004HRW
o`>k0028cOl1R17n004ckZOo0]d0Mogo06Jao`O^oonk8P004I_o15D00168Yol3
^`00R<go0HPAoP01<njWo`;M07Omo`1V/Ol7k_oo^b80016Ko`AE000AR:Oo0k/0
08SWo`2`jOl4k_ookWOn0028Yol3^`00R?ko1k_ooniV03?<^?l0VOgo0fH00;^L
o`7<4Oh00B:kZOl3^`00R<oo1>koonigoP00R:Oo0k/008Sno`Nkooo^IP0cc;So
09Wmo`=V002kW?l1c17n004R^jWo0k/008S?o`C^ooo^Moh008RWo`>k0028o_l7
^oookVH0<lbho`2IoOl3IP00^ico0L`AoP018[^Yo`>k0028iol0/>Wo09Wmo`S<
4@14oooMIXR[o`@A000RZ_go18QgE@0R^?l0A?co0S<0gI_o0Me4o@00VJ[o0k/0
08S?o`2IoOl8c140A?oogFJ8Zol44@008Z[mo`B8MeD08[So04Clo`8c0=fKo`7M
A?d009VZo`>k0028col0VOgo2<`A04CoomeVR:_o114002:ZoOl4R7ME02:ho`14
o?l2<`3MVol1gDCm002IZ_l3^`00R>Oo0;KYo`68^ogo1jX0I_o<E@28Zol0VOd0
24CMoooMoolR0;So0@28oOl1<eFKo`O^oonk8P004J[o0k/008S?o`68^ogo1jX0
I_o<E@28Zol0VOd024CMoooMoolR0;So0@28oOl1<eFKo`O^oonk8P004J[o0k/0
08S?o`68^ogo1jX0I_o<E@28Zol0VOd024CMoooMoolR0;So0@28oOl1<eFKo`O^
oonk8P004J[o0k/008SWo`35jOl2R2;^o_l7ZP3<oonk08RZo`6k8_h00A7<oOl1
A5Fho`LRA5FZ^eEVkY_o09Wmo`=V002kZol3^`00R?co08SEo`:88^kno`NZ0<co
ok/0R:[o0K/RoP014Lcmo`54EKSo1b94EJZkEFK^Vol0VOgo0fH00;^[o`>k0028
o?l0R=Go0XPRk_ko1jX0c?oo^`28Z_l1^b;n004Ac?go0DAE^?l78TAEZ[]EI^jK
o`2IoOl3IP00^j_o0k/008Slo`28kOl0b>Wo1hQ4<hRkVC>Zo_l2^`28[?l0k_ko
18PA001Eo_l2kP3<^?l5k_oo^k_^VOl0A?co0S<0gJ_o0k/008Smo`7MEMGo1hQ4
<hRkVC>Zo_l2^`28[?l0k_ko18PA001Eo_l2kP3<^?l5k_oo^k_^VOl0A?co0S<0
gJ_o0k/008Smo`7MEMGo1hQ4<hRkVC>Zo_l2^`28[?l0k_ko18PA001Eo_l2kP3<
^?l5k_oo^k_^VOl0A?co0S<0gJ_o0k/008Smo`7MENgo0:[Yo`G^oooM^lclo`:k
08R/o`6kgOko0nhc003no`5gVH7obOl108Smo`4cEJ[o0k/008Smo`5ER=Go1Nko
omfkc?co0[/0R:co0K_Mo_l3kS<00?ko0GNIPOo9o`40R?go0C=EZ_l3^`00R?go
0EF8eOl5k_oogK_<o?l2^`28[?l1^mgno`?^<`00o_l1MiV1olWo0@28oOl1<eFZ
o`>k0028oOl1EHS]o`2Kg_l2^`28[?l1^hSmo`W^02;ook]goooMPOo;o`LRA5FZ
^eEVkZ_o1;]V000AoXP2<`28b_l2^`28[?l1^hSmo`W^02;ook]goooMPOo;o`LR
A5FZ^eEVkZ_o1;]V000AoXP2<`28b_l2^`28[?l1^hSmo`W^02;ook]goooMPOo;
o`LRA5FZ^eEVkZ_o1;]V000AoXP2<`28kOl0L]ko0[/0R:co0[/0c?ko2Nh0R?oM
4DA4<lb1ol_o1Nkook^kkX7oiol2^`28[?l2^`3<o_l9kP28omdAA4@cc87obol5
k_oo^k_^POoWo`:k08R/o`:k0<cno`W^08SogA54A3?<POo;o`G^oonk^nj:o`1J
g_l2^`28[?l:^c<cMk^ZA8Sooc?m0;Kon`21oh7onol2^`28[?l:^c<cMk^ZA8So
oc?m0;Kon`21oh7onol2^`28[?l:^c<cMk^ZA8Sooc?m0;Kon`21oiko05GOo`C<
IP1Ec:go1Nkoonjk^k7oo@3koOd0POn1o`Goc6H0ELb]o`G^ooo^^k^aood0nogm
087oPOl5olaV05G<[Ol5k_ook[^k/Oom0?_no@21oj;o0321ok;o0@00lod10021
oh7oPOoEo`400??m0@00POn1oh7oeOl1003coP40087oY?l0:X7o/ol00>om0021
oh7oPOoGo`00kod0087oPOn1omOo003_oP00POnUo`1=iOoh0:_on@2go`00kOd1
002VooP0[_og0<con02[ooT0]ol00>gm0@00Y_oh0:kom`3<ooP0Zooi0;Oo003]
oP400:Kon02^ooL0j?l0P>SooP3hoOh0/Oon0?WmoP2ko`00j_d00:[ooP3hoOh0
/ol1003go@400=7ooP3hoOh0/Oon0?WmoP2ko`00j_d00:[ooP3hoOh0/ol1003g
o@400=7ooP3ho_h0/Oon0?WnoP2ko`00j_h00:[ooP3ho_h0/ol1003goP400>[o
08oYo`00l_d1002eo`400??m0@00__l00>Sm002]o`400?;m0@00]ol1003co@40
0=Co003bo@400;Go0@00lod1002no`00j?d00:go0@00l_d1002go`400??m0@00
e?l00?;n0@00]Ol1003coP400;ko003XoP00[Ol1003boP400;Oo0@00loh1003/
o`26jol1003_o@00^?l1003_o@00`?l00>Om002^o`00k_d00;[o0@00kod1003H
o`400>om002ho`400>om0030o`00iod00:ko003^o@00^_l1003_o@400=So0@00
koh00;So0@00koh00<3o003WoP00[_l00>kn002jo`400>on0@00k_l0ONco003/
o@00^_l00>cm0@00`ol00>Gm002`o`00k?d00;co003[o@00f_l00>cm002jo`00
k?d10033o`00iOd00;3o003/o@00_?l00>_m003Jo`00k?h00;[o003/oP400<?o
003UoP00/?l00>cn002lo`00joh00>oo07[]o`00j_d00;co003Yo@00a?l00>Gm
002ao`00j_d00;ko003Yo@00g?l00>[m002lo`00jOd00<Co003Uo@00/Ol00>[m
002no`00jOd00=co003ZoP00_?l00>Wn0034o`00iOh00;7o003ZoP00__l00>Wn
003`o`1jk_l00>Sm002no`00j?d00<Go003So@00/ol00>Sm0030o`00iod00=ko
003Xo@00__l00>Sm0035o`00hod00;?o003Xo@00`?l00>Om003No`00j?h00;ko
003XoP00aOl00>?n002co`00j?h00<3o003WoP00lOl0N^oo003Vo@00_ol00>Om
0036o`00hod00;Co003Vo@00`Ol00>Om003Oo`00i_d00;oo003Wo@00a_l00>?m
002do`00i_d00<7o003Wo@00gol00>Kn002oo`00ioh00<Ko003SoP00]?l00>Kn
0031o`00ioh00?7o07[_o`00iOd00<7o003Uo@00aol00>;m002fo`00iOd00<;o
003Uo@00h?l00>Gm0031o`00iOd00<Oo003Ro@00]_l00>Gm0032o`00iOd00>3o
003UoP00`Ol00>Gn0037o`00h_h00;Ko003UoP00`_l00>Gn003bo`1jl?l00>Cm
0032o`00i?d00<So003Qo@00]_l00>Cm0034o`00i?d00>7o003To@00`_l00>Cm
0038o`00hOd00;Ko003To@00a?l00>Cm003Qo`00i?h00<;o003ToP00b?l00>7n
002fo`00i?h00<Co003ToP00l_l0N_3o003So@00`ol00>?m0039o`00hOd00;Oo
003So@00a?l00>?m003Ro`00hod00<?o003So@00bOl00>7m002go`00hod00<Co
003So@00h_l00>?n0033o`00hoh00<Wo003QoP00]ol00>?n0034o`00hoh00??o
08Wao`00h_d00<?o003So@00bOl00>7m002go`00h_d00=?o0@00mOl00>?m003S
o`00h_d00<?o003So@00bOl00>7m002go`00h_d00=?o0@00mOl00>?m003So`00
h_h00<?o003SoP00bOl00>7n002go`00h_h00=?o0@00mOl00>?n003co`26lOl0
0>;m0034o`00h_d00<Wo003Qo@00]ol00>;m003Coo`0nOl00>;m003So`00h_d0
0<Co003Ro@00bOl00>7m002go`00h_d00=?oo03io`00h_d00>?o003RoP00a?l0
0>;n0039o`00hOh00;Oo003RoP00dool0?Wo003RoP00lol0Q_7o003Ro@00a?l0
0>7m003:o`00hOd00;Oo003Ro@00dooi0?co003Qo@00i?l00>;m0034o`00hOd0
0<[o003Qo@00]ol00>;m003CooT0o?l00>7m003To`00h_h00<Co003QoP00b_l0
0>7n002go`00h_h00=?on@3lo`00hOh00?Co08Kao`00hOd00<Go003Qo@00b_l0
0>7m002ho`00hOd00=?omP02ool0hOd00>Co003Qo@00aOl00>7m003:o`00hOd0
0;So003Qo@00doof00;oo`3Qo@00i?l00>7n0035o`00hOh00<[o003QoP00^?l0
0>7n003CooH00_oo0>7n003do`1^lOl00>7m0035o`00hOd00<[o003Qo@00^?l0
0>7ma03Qo@00i?l00>7m0035o`00hOd00<[o003Qo@00^?l00>7ma03Qo@00i?l0
0>7n0035o`00hOh00<[o003QoP00^?l00>7na03QoP00m?l0K_7o003Qo@00aOl0
0>7m003:o`00hOd00;So003QoL@0hOd00>Co003Qo@00aOl00>7m003:o`00hOd0
0;So003QoL@0hOd00>Co003QoP00aOl00>7n003:o`00hOh00;So003Qo/@0hOh0
0?Co08Kao`00hOd00<Go003Qo@00bOl00>;m002ho`00hOd00=?omP02ool0hOd0
0>Co003Qo@00aOl00>7m0039o`00h_d00;So003Qo@00doof00;oo`3Qo@00i?l0
0>7n0035o`00hOh00<Wo003RoP00^?l00>7n003CooH00_oo0>7n003do`26lOl0
0>7m0035o`00hOd00<Wo003So@00]ol00>7m003CooT0o?l00>7m003To`00hOd0
0<Go003Qo@00bOl00>?m002go`00hOd00=?on@3lo`00hOd00>Co003QoP00aOl0
0>7n0039o`00hoh00;Oo003QoP00dooi0?co003QoP00m?l0Q_7o003Qo@00aOl0
0>7m0039o`00hod00;Oo003Qo@00dook0?[o003Qo@00i?l00>7m0035o`00hOd0
0<Wo003So@00]ol00>7m003Coo/0n_l00>7m003To`00hOh00<Go003QoP00bOl0
0>?n002go`00hOh00=?on`3jo`00hOh00?Co08Kao`00h_d00<Co003Qo@00b?l0
0>Cm002fo`00h_d00=?ooP3go`00hOd00>Co003Ro@00a?l00>7m0038o`00i?d0
0;Ko003Ro@00doon0?Oo003Qo@00i?l00>;n0034o`00hOh00<So003ToP00]_l0
0>;n003Cooh0mol00>7n003do`1jlOl00>;m0034o`00h_d00<Oo003Uo@00]Ol0
0>;m0036o`00h_d00>?o003Ro@00a?l00>;m0037o`00iOd00;Go003Ro@00a_l0
0>;m003So`00h_h00<Co003RoP00aol00>Gn002eo`00h_h00<Ko003RoP00lol0
N_7o003Ro@00`ol00>?m0036o`00i_d00;Go003Ro@00aOl00>?m003So`00h_d0
0<?o003So@00a_l00>Km002eo`00h_d00<Go003So@00hol00>;n0033o`00hoh0
0<Ko003VoP00]Ol00>;n0035o`00hoh00??o07[`o`00hod00<?o003So@00a_l0
0>Om002co`00i?d00<Co003So@00h_l00>?m0033o`00hod00<Ko003Wo@00/ol0
0>Cm0034o`00hod00>;o003SoP00`ol00>?n0036o`00ioh00;?o003ToP00a?l0
0>?n003co`1jl?l00>Cm0032o`00i?d00<Co003Yo@00/_l00>Cm0033o`00iOd0
0>7o003To@00`_l00>Cm0034o`00jOd00;;o003To@00`ol00>Gm003Qo`00i?h0
0<;o003ToP00a?l00>Wn002bo`00i?h00<?o003UoP00l_l0N^oo003Uo@00`Ol0
0>Gm0033o`00jod00;7o003Uo@00`_l00>Gm003Po`00iOd00<7o003Uo@00`ol0
0>_m002ao`00iOd00<;o003Uo@00h?l00>Gn0031o`00iOh00<?o003[oP00/Ol0
0>Gn0032o`00iOh00?;o07[_o`00i_d00;oo003Wo@00`Ol00>gm002_o`00i_d0
0<7o003Wo@00gol00>Km002oo`00iod00<7o003]o@00[ol00>Km0031o`00iod0
0=oo003VoP00_ol00>On0031o`00kOh00:oo003VoP00`Ol00>On003ao`26k_l0
0>Sm002no`00iod00<;oo@3ao@@00?l00;3o003Xo@00`?l00>Om003No`00j?d0
0;ko003Wo@00`_om0?7m1000o`00/?l00>Sm0030o`00iod00=ko003XoP00__l0
0>On0032ood0lOh4003o002`o`00j?h00<3o003WoP00lOl0UNgo003Yo@00_Ol0
0>Wm0032ood00?on0?Km0@00o_on0;3o003Zo@00__l00>Wm003Lo`00jOd00;go
003Yo@00`_om003ooP3fo@400?kooP2`o`00j_d00;ko003Yo@00g?l00>Wn002m
o`00jOh00<;oo@00ooh0m_h1003nooh0/?l00>[n002no`00jOh00?3o08W/o`00
k?d1002ko`00jod00<;oo@3looH0noon0;3o003/o@00_?l00>_m003Jo`00k?d1
002ko`00jod00<;oo@3looH0noon0;3o003/o@00_?l00>_m003Jo`00k?h1002k
o`00joh00<;oo@3looH0noon0;3o003/oP00_?l00>_n003_o`29jol00>km0@00
^Ol1003_o@400<;oo@3Yooh0/?l00>km002jo`400>om0@00f?l00>km0@00^Ol1
003_o@400<;oo@3Yooh0/?l00>km002jo`400>om0@00f?l00>kn0@00^Ol1003_
oP400<;oo@3Yooh0/?l00>kn002jo`400>on0@00k_l0S>[o0@00l_gl0;_oo@3b
o@400<7oo@3Wooh0/?l1003bo@400;Oo0@00lod1003Eo`400?;mo02kood0l_d1
0031ood0ioon0;3o0@00l_d1002go`400??m0@00eOl1003bo_`0^oom0?;n0@00
`Oom0>OooP2`o`400?;n0@00]ol1003coP400>co09kXooh0mod3003oood0_Oon
007oooh0mod10030ood0iOon0:oooP3hoOh0/ol1003hoOh0dOon0?Om0`00ooom
0;gooP01ooon0?Om0@00`?om0>GooP2_ooh0n?gn0;?o0@00n?gn0=7ooP3goP<0
0?ooo@2mooh00OoooP3goP400<3oo@3Uooh0[oon0?SnoP2co`400?SnoP3Zo`1a
iOog0?coo@2oooh0noog0;ooo@3Sooh0[Ooh0;;o0`00oooh0<_om`3lood0_oon
0?_om`2oood0hoon0:gon02bo`<00?oon03;ooL0o?om0;oooP3kooL0_oom0>?o
oP2]ooP0/_l3003oooP0iol0A=Goo@31ooh0[oom0>7ooP21omOooP2`ood0`Oon
0:ooo@3Qooh0POoGooh0/?om0<7ooP2_ood0hOon087oeoon0=co04CDood0`oon
0:ooo@3Oooh0POoIooh0[_om0<?ooP2_ood0goon087ofOon0:koo@33ooh0[oom
0=oooP21omWooP3Ko`14doom0<GooP2_ood0gOon087ofoon0:coo@35ooh0[oom
0=gooP21om_ooP2/ood0aOon0:ooo@3Mooh0POoKooh0f_l0A=;oo@37ooh0[oom
0=_ooP21omgooP2Zood0aoon0:ooo@3Kooh0POoMooh0Z_om0<OooP2_ood0foon
087ogOon0=Wo06;Aood0bOon0;CooP01ooom0=WooP3no`40087oi?on0:Soo@39
ooh0]?on007oood0fOon0?ko0@00POoTooh0Z?om0<WooP2dooh00Oooo@3Iooh0
o_l10021onCooP3Ho`14d?om0<_ooP2cooT0eooi087oi_on0:Koo@3;ooh0/ooi
0=Oon@21onKooP2Vood0boon0;?on@3GooT0POoVooh0eol0A<ooo@3=ooh0/ooi
0=GonP21onOooP2Tood0cOon0;?on@3EooX0POoWooh0Y?om0<gooP2cooT0eOoj
087oioon0=Ko04C>ood0coon0;;onP3DooT0POoYooh0X_om0<oooP2booX0e?oi
087ojOon0:;oo@3?ooh0/_oj0=Con@21onWooP3Eo`14cOom0=7ooP2booP0eOoi
087oj_on0:3oo@3Aooh0/_oh0=Gon@21on[ooP2Pood0dOon0;;on03EooT0POoZ
ooh0e?l0G<coo@3mo`00gOl00?gooP2aooP0e_og087ok?on09koo@3mo`00gOl0
0?gooP2aooP0e_og087ok?on09koo@3mo`00gOl00?gooP2aooP0e_og087ok?on
0=?o05c;ood00?on0=koo@00ooh0/Oof0=Oom`21ongooP2Lood00?on0=koo@00
ooh0/Oof0=Oom`21ongooP2Lood00?on0=koo@00ooh0/Oof0=Oom`21ongooP3B
o`14b_oi0=oonP2`ooL0eOog087okoon09[on@3OooX0/?og0=Gom`21onoooP2J
ooT0gooj0;3om`3EooL0POo_ooh0dOl0DlWonP3PooX0/?oh0=7on@21ooGooP01
ooon09SonP3PooX0/?oh0=7on@21ooGooP01ooon09SonP3PooX0/?oh0=7on@21
ooGooP01ooon0=3o04C9ooT0hOoi0;7on`3<ooX0POogooT0Uooi0>7on@2aoo/0
c?oj087omooi09Oon@3QooT0/Ook0<conP21ooOon@3?o`1Fb_oh0>;on02kooT0
0?ol0<Soo03mooT0Pooj09Oon03RooP0^ooi003oo038oo`0oOoi08?onP2GooP0
h_oh0;_on@00oo`0b?ol0?gon@23ooX0c_l0E/[om`3SooL0_oon0?Wmo@34ooX0
nOgn08Oon@2GooL0hoog0;oooP3ioOd0a?oj0?WmoP27ooT0Uoog0>?om`2oooh0
nOkm0<ConP3io_h0Qooi0<ko07C:ooL0nOoe0?SomP31o`400?Gm0`3m0033o`40
0??m0@00ROoh09Som`3iooD0n?of0<7o0@00mOd30?d00<?o0@00lod10029ooP0
V?og0?Wom@3hooH0`Ol1003eoP<0oP00`ol1003coP4008Won03?o`26b?oh0?co
0@00mOd1003jooP0`?l00>om0@00a_l00>om0@00X?oj0?Com`2FooP0o?l1003e
o@400?[on030o`00kod10036o`00kod1002PooX0m?og09Kon03lo`400?Gn0@00
n_oh0<3o003_oP400<Ko003_oP400:3onP3dooL0col0SlKonP3no`400?7m0@00
oOoi0<3o0@00k?d00<So003/o@00Y?on0?[mo@3hooL0U?oj0?ko0@00lOd1003m
ooT0`?l1003/o@00b?l00>cm002Tooh0n_gm0?Som`2DooX0o_l1003aoP400?go
n@30o`400>cn0038o`00k?h00:CooP3jo_d0n?og0<oo08W4oo/00Ol0kOd00?ko
o02no`00jOd00<[o003Zo@00Yol1003co@400?_om`2Aoo/00Ol0kOd00?koo02n
o`00jOd00<[o003Zo@00Yol1003co@400?_om`2Aoo/00Ol0kOh00?koo02no`00
jOh00<[o003ZoP00Yol1003coP400?_om`3>o`1j`_ol0>_m0@3oo@2lo`00j?d0
0<co003Xo@00Z_l1003_o@00o?oi08goo03[o@40ood0_?l00>Sm003<o`00j?d0
0:[o0@00kod00?con@2=oo`0joh10?om0;co003XoP00c?l00>Sn002Zo`400>on
003looT0c?l0LL3o0@00jOgn0;_o003Wo@00cOl00>Om002[o`00k?d00?konP29
o`400>WmoP2ko`00iod00<go003Wo@00Zol00>cm003nooX0ROl1003Yo_h0^ol0
0>On003=o`00ioh00:_o003/oP00o_oj0<[o06k0o`00iod00;_o003Uo@00col0
0>Gm002]o`00j_d20?ooo027o`00iod00;_o003Uo@00col00>Gm002]o`00j_d2
0?ooo027o`00ioh00;_o003UoP00col00>Gn002]o`00j_h20?ooo038o`1[`Ol0
0>Km002ko`00iOd00<oo003To@00[ol00>Sm0@3ooP26o`00i_d00;_o003Uo@00
col00>Cm002_o`00j?d10?on08Ko003VoP00^ol00>Gn003?o`00i?h00:oo003X
oP40ooh0a_l0IL7o003Uo@00_Ol00>?m003Ao`00hod00;3o003Vo@4008Co003U
o@00_Ol00>?m003Ao`00hod00;3o003Vo@4008Co003UoP00_Ol00>?n003Ao`00
hoh00;3o003VoP400<Co06;2o`00hod00;ko003So@00dOl00>?m002`o`00i_d0
08Co003So@00__l00>?m003Ao`00hod00;3o003Vo@00Q?l00>?n002no`00hoh0
0=7o003SoP00/?l00>Kn0033o`1R`_l00>?m002no`00h_d00=;o003Ro@00/_l0
0>Cm0025o`00hod00;ko003Ro@00d_l00>;m002bo`00i?d008Go003SoP00__l0
0>;n003Bo`00h_h00;;o003ToP00a?l0H/;o003So@00_ol00>7m003Bo`00h_d0
0;;o003To@00QOl00>?m002oo`00hOd00=;o003Ro@00/_l00>Cm0025o`00hoh0
0;oo003QoP00d_l00>;n002bo`00i?h00<Co06;3o`00hOd00<3o003Qo@00dol0
0>7m002co`00h_d008Oo003Qo@00`?l00>7m003Co`00hOd00;?o003Ro@00Qol0
0>7n0030o`00hOh00=?o003QoP00/ol00>;n0035o`1R`ol00>7m0030o`00hOd0
0=?o003Qo@00/ol00>;m0027o`00hOd00<3o003Qo@00dol00>7m002co`00h_d0
08Oo003QoP00`?l00>7n003Co`00hOh00;?o003RoP00aOl0H/?o003Qo@00`?l0
0>7m003Co`00hOd00;?o003Ro@00Qol00>7m0030o`00hOd00=?o003Qo@00/ol0
0>;m0027o`00hOh00<3o003QoP00dol00>7n002co`00h_h00<Go06;3o`00hOd0
0<3o003Qo@00dol00>7m002co`00h_d008Oo003Qo@00`?l00>7m003Co`00hOd0
0;?o003Ro@00Qol00>7n0030o`00hOh00=?o003QoP00/ol00>;n0035o`1R`ol0
0>7m0030o`00hOd00=?o003Qo@00/ol00>7m0028o`00hOd00<3o003Qo@00dol0
0>7m002co`00hOd008So003QoP00`?l00>7n003Co`00hOh00;?o003QoP00a_l0
H/?o003Qo@00`?l00>7m003Co`00hOd00;?o003Qo@00R?l00>7m0030o`00hOd0
0=?o003Qo@00/ol00>7m0028o`00hOh00<3o003QoP00dol00>7n002co`00hOh0
0<Ko06;3o`00hOd00<3o003Qo@00dol00>7m002co`00hOd008So003Qo@00`?l0
0>7m003Co`00hOd00;?o003Qo@00R?l00>7n0030o`00hOh00=?o003QoP00/ol0
0>7n0036o`1R`ol00>7m0030o`00hOd00=;o003Ro@00/ol00>7m0028o`00hOd0
0<3o003Qo@00d_l00>;m002co`00hOd008So003QoP00`?l00>7n003Bo`00h_h0
0;?o003QoP00a_l0H/?o003Qo@00_ol00>?m003Ao`00h_d00;?o003Qo@00R?l0
0>7m002oo`00hod00=7o003Ro@00/ol00>7m0028o`00hOh00;oo003SoP00dOl0
0>;n002co`00hOh00<Ko06;2o`00hod00;ko003So@00dOl00>?m002bo`00h_d0
08Ko003So@00__l00>?m003Ao`00hod00;;o003Ro@00Q_l00>?n002no`00hoh0
0=7o003SoP00/_l00>;n0035o`1R`_l00>?m002mo`00i?d00=3o003To@00/_l0
0>;m0026o`00hod00;go003To@00d?l00>Cm002bo`00h_d008Ko003SoP00_Ol0
0>Cn003@o`00i?h00;;o003RoP00aOl0H/;o003So@00_Ol00>Gm003?o`00iOd0
0;7o003Ro@00Q_l00>?m002mo`00iOd00<oo003Uo@00/Ol00>;m0026o`00hoh0
0;go003UoP00col00>Gn002ao`00h_h00<Go06;1o`00iOd00;_o003Wo@00cOl0
0>Km002`o`00hod008Go003Uo@00^ol00>Om003=o`00i_d00;3o003So@00QOl0
0>Gn002ko`00ioh00<go003VoP00/?l00>?n0035o`1R`Ol00>Gm002ko`00iod0
0<co003Xo@00[ol00>Cm0024o`00iOd00;_o003Wo@00c?l00>Sm002_o`00i?d0
08Co003UoP00^ol00>On003<o`00j?h00:oo003ToP00a?l0H/3o003Wo@00^Ol0
0>Wm003;o`00jOd00:go003Uo@00Pol00>Om002io`00jOd00<_o003Yo@00[Ol0
0>Gm0023o`00ioh00;Wo003YoP00bol00>Wn002]o`00iOh00<Co06:oo`00jOd0
0;Oo003[o@00bOl00>_m002/o`00i_d0087o003Yo@00]ol00>_m0039o`00jod0
0:co003Vo@00POl00>Wn002go`00joh00<Wo003[oP00[?l00>Kn0033o`1Z_ol0
0>[m002eo`400>km0037o`400>km002Zo`00j?d0087o0Ol0j_d00;Go0@00k_d0
0<Oo0@00k_d00:[o003Xo@00POl1o`3ZoP00]Ol1003^oP00aol1003^oP00Z_l0
0>Sn0032o`1b__l1003]o@00/_l00?7m0@00a?l1003bo@400:So003Yo@00POl3
ool00>gm002bo`00lOd10034o`400?;m0@00Z?l00>Wm0021o`?oo`00kOh00;;o
003aoP400<Co0@00l_h1002Xo`00jOh00<;o06Vlo`00kod00;3ooP3goOh0`?l1
003goOh0YOl00>_m0021ooco003_o@00/?on0?OmoP30o`400?OmoP2Uo`00jod0
087oo?l00>on002`ooh0mokn0<3o0@00mokn0:Go003[oP00`Ol0Ek_o0@00lod1
002/ooL0^oog0:7o003^o@40087on_l1003co@400:com`2kooL0XOl00>km0@00
POojo`400??n0@00[?og0;_om`2Qo`00k_h10030o`18^Oom0?_mo@21oh7okol1
003bo@40087om_om0?_mo@21oh7okol1003bo@40087om_om0?_no@21oh7okol1
003boP400;ko03beoo/0POn1onWo0@00m_d10021oo3on`21oh7ojOl1003fo@40
087ol?ok087oPOoYo`400?Kn0@00_?l07X7oPOnEooH0POn1oh7oc_of087oPOn1
olkomP2jo`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1
oh7oPOo7o`0FPOn1oh7oPOn1oh7oPOn1oh7oPOo7o`1:POoBo`K^^eE4A7Nk/_l1
gJ[nA068c87oPOnPo`K^^eE4A7Nk/_l1gJ[nA068c87oPOnPo`K^^eE4A7Nk/_l1
gJ[nA068c87ocol0=H7od?l3R000^joo0T@0087oPOnLo`>8002k[ol2A000POn1
oico0hP00;^_o`940021olgo04f1om3o0hP00;^_o`94002Mo`7MZ_i40HS<POn7
o`>8002k[ol2A000WOl1gJ[nA068c87oQol3R000^joo0T@009go0MfZoT@1R<bh
o`1M]Ol6k[]EA4Ag^j?o0hP00;^_o`94002Ko`940021on[o1^jkEDA4Mk^So`>8
002k[ol2A000Vol2A000POoZo`K^^eE4A7NkXol3R000^joo0T@009_o0T@00;Ko
05Bco`>8002kX_l3R000^joo0T@009_o0T@0087oj?l3R000^j;o0hP00;^_o`94
002Ko`940021onSo0hP00;^Ro`>8002k[ol2A000Vol2A000]_l0E;?o0hP00;^R
o`>8002k[ol2A000Vol2A000POoXo`>8002kX_l3R000^joo0T@009_o0T@0087o
j?l3R000^j;o0hP00;^_o`94002Ko`94002fo`1D/ol3R000^j;o0hP00;^_o`94
002Ko`940021onSo0hP00;^Ro`>8002k[ol2A000Vol2A000POoXo`>8002kX_l3
R000^joo0T@009_o0T@00;Ko05Bco`>8002kX_l3R000^joo0T@009_o0T@0087o
j?l3R000^j;o0hP00;^_o`94002Ko`940021onSo0hP00;^Ro`>8002k[ol2A000
Vol2A000]_l0O[?o0hP00;^Ro`>8002ko_l2gFJ8]Ol2A000o_l4c4@0ENjSo`94
0021onSo0hP00;^Ro`>8002ko_l2gFJ8]Ol2A000o_l4c4@0ENjSo`940021onSo
0hP00;^Ro`>8002ko_l2gFJ8]Ol2A000o_l4c4@0ENjSo`94002fo`1n/ol3R000
^j;o2HP00;_oolaE08Reo`94003no`AER3<0IZ?o0T@0087oj?l3R000^j;o2HP0
0;_oolaE08Reo`94003no`AER3<0IZ?o0T@0087oj?l3R000^j;o2HP00;_oolaE
08Reo`94003no`AER3<0IZ?o0T@00;Ko07jco`>8002kX_l3R000^oko0[/0R;Go
2T@00?ook^kog@14Xol2A000POoXo`>8002kX_l3R000^oko0[/0R;Go2T@00?oo
k^kog@14Xol2A000POoXo`>8002kX_l3R000^oko0[/0R;Go2T@00?ook^kog@14
Xol2A000]_l0Qk?o0hP00;^To`_^^c<006Jkoonk08Rgo`KMZQ4008S<oOl108RS
o`940021onSo0hP00;^To`_^^c<006Jkoonk08Rgo`KMZQ4008S<oOl108RSo`94
0021onSo0hP00;^To`_^^c<006Jkoonk08Rgo`KMZQ4008S<oOl108RSo`94002f
o`1A/ol3R000^i_o0[/0R:go0ZXRkZ?o0T@0087oj?l3R000^i_o0[/0R:go0ZXR
kZ?o0T@0087oj?l3R000^i_o0[/0R:go0ZXRkZ?o0T@00;Ko05Zco`>8002kVol2
^`28[Ol1A<bTo`KMZQ4008S<POoZo`>8002kVol2^`28[Ol1A<bTo`KMZQ4008S<
POoZo`>8002kVol2^`28[Ol1A<bTo`KMZQ4008S<^?l0CKGo1^jk<`00I[^Lo`:k
08R^o`>8Z_oMPOn9o`K^^c<006JkW?l2^`28[_l3R:[ogH7oROl6k[/c001V^ico
0[/0R:ko0hRZomf1omGo03R1olWo0[/0R:oo1:XAA4@cPOn1oigo0[/0R:oo1:XA
A4@cPOn1oigo0[/0R:oo1:XAA4@cPOoEo`11POo:o`C<IP1Ec;7o0MdAoP00A87o
POnNo`C<IP1Ec;7o0MdAoP00A87oPOnNo`C<IP1Ec;7o0MdAoP00A87oeOl05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol05X7oPOn1oh7oPOn1oh7oPOn1oh7oaol05X7o
POn1oh7oPOn1oh7oPOn1oh7oaol0o`\>"], "Graphics",
 ImageSize->{430., 152.25}],

Cell["\<\
Components of the generative structure for image patterns involve converging, \
diverging,and intermediate nodes. For example,these could correspond \
to:multiple (scene) causes {shape S1, illumination S2 giving rise to the same \
image measurement, I ; one cause, S influencing more than one image \
measurement, {color, I1, brightness, I2}; a scene (or other) cause S, {object \
identity, S} influencing an image measurement (image contour) through an \
intermediate variable L (3D shape) .\
\>", "Text"],

Cell["\<\
The arrows tell us how to factor the joint probability into conditionals. So \
for the three examples above, we have:
p(S1,S2,I)=p(I|S1,S2)p(S1)p(S2)
p(S,I1,I2)=p(I1|S)p(I2|S)p(S)
p(S,L,I)=p(I|L)p(L|S)p(S)\
\>", "Text"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Primary, secondary variables.", "Subsubsection"],

Cell["\<\
The following figure draws a parallel between the causal structure, as \
determined by the generative model, for signal detection theory (as in the \
light detection problem), and the general problem of visual inference.\
\>", "Text"],

Cell[GraphicsData["PICT", "\<\
P2X0mP;60Z/4R@0A0_l<0?ooool2aP000?H000B90002Z`000000000N00402P3f
0/H2Z`B909X0003oQ``0mP;60Z/4R@0000@0000004P000180000400P00<02000
000003@D0C98N03f0/H2Z`B90?H2aP:[18T0000FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7o
POnho`0Z^Ol0c?f80=f1oh7oPOo4o`3<oHP0gH7oPOn1olCo0<cmR03MPOn1ohco
032jo`:I05Gn^`3^POn1oh7oaOl2V@1Eo[/0kX7oPOn1olGo0YT0EOjk0>j1oh7o
S?l08K[o0A4APOn1oh7o`?l14A61oh7oPOo0o`4A4H7oPOn7o`0T^ol2g@14POn1
oh7o`Ol2g@14POn1oh7o`Ol2g@14POn1ohOo02Bko`:k04B1oh7oPOo1o`:k04B1
oh7oPOo1o`:k04B1oh7oQol09;_o0[/0A87oPOn1ol7o0[/0A87oPOn1ol7o0[/0
A87oPOn7o`0T^ol2^`14POn1oh7o`Ol2^`14POn1oh7o`Ol2^`14POn1ohOo04Rk
o`:k04Cho`:k003lo`:k0021oh7oPOoEo`:k04Cho`:k003lo`:k0021oh7oPOoE
o`:k04Cho`:k003lo`:k0021oh7oVol0B;_o0[/0A?So0[/00?co0[/0087oPOn1
omGo0[/0A?So0[/00?co0[/0087oPOn1omGo0[/0A?So0[/00?co0[/0087oPOnK
o`18^ol2^`14n?l2^`00o?l2^`00POn1oh7oeOl2^`14n?l2^`00o?l2^`00POn1
oh7oeOl2^`14n?l2^`00o?l2^`00POn1oi_o04Rko`:k04Cho`:k003lo`:k0021
oh7oPOoEo`:k04Cho`:k003lo`:k0021oh7oPOoEo`:k04Cho`:k003lo`:k0021
oh7oVol0E[_o0[/0A?So0[/00?co0[/00=;om02<oo@0POnCo`:k04Cho`:k003l
o`:k003Boo@0S?od087oTol2^`14n?l2^`00o?l2^`00d_od08com021omWo076k
o`:k04Cho`:k003lo`:k003Eooh0m?gn097o0@00m?gn087oU_l2^`14n?l2^`00
o?l2^`00eOon0?CmoP2Ao`400?CmoP21oiKo0[/0A?So0[/00?co0[/00=GooP3d
o_h0TOl1003do_h0POoLo`1g^ol2^`14n?l2^`00o?l2^`00eol1003^o@4009Ko
oP3_o@40087oV?l2^`14n?l2^`00o?l2^`00eol1003^o@4009KooP3_o@40087o
V?l2^`14n?l2^`00o?l2^`00eol1003^oP4009KooP3_oP40087og_l0M;_o0[/0
A?So0[/00?co0[/00=So003Zo@4009Wo003Zo@40087oV_l2^`14n?l2^`00o?l2
^`00f?l00>[m0@00VOl00>[m0@00POnJo`:k04Cho`:k003lo`:k003Ho`00j_h1
002Io`00j_h10021on3o07Nko`:k04Cho`>k003^oOl2^`00f_l1003Wo@00W?l1
003Wo@00POnKo`:k04Cho`>k003^oOl2^`00f_l1003Wo@00W?l1003Wo@00POnK
o`:k04Cho`>k003^oOl2^`00f_l1003WoP00W?l1003WoP00POoQo`23^ol2^`14
n?l3^`00R?ko1mdc003oomg<gol00>Cm002No`00i?d10021oigo0[/0A?So0k/0
08Sno`OM<`00oooMc=oo003To@00W_l00>Cm0@00POnMo`:k04Cho`>k0028o_l7
gC<00?oogLcOo`00i?h009ko003ToP40087ohol0Pk_o0[/0A?So0;_n00Y4R6HR
^`00R?n8k^3o003Ro@400:7o003Qo@00POnNo`:k04Cho`2koP0:A8QV8[/008So
R>kPo`00h_d1002Qo`00hOd0087oW_l2^`14n?l0^oh02TB8IR:k0028ohS^h?l0
0>;n0@00XOl00>7n0021onCo07fko`:F01oho`:k<fKn00MEgOn8000RZ^3o003P
o@00X_l00=om0021oioo0YH07oSo0[/cI_h01eGMohP002:Zh?l00>3m002Ro`00
god0087oWol2UP0On?l2^c=VoP07EMgoR0008Z[Po`00h?h00:;o003OoP00POoU
o`1d^ol2Q`0Bn?l5ZS?ogK_^oOl1gK_Oo`00g_d00:Co003No@00POnOo`:701;h
o`FZ<ooM^nkmo`7M^moo003No@00Y?l00=km0021oioo0XL04_So1JXcomfkk_go
0Mfkgol00=kn002To`00g_h0087oiOl0G;_o0XL04_So0WL0gMKo003Mo@00YOl0
0=gm0021oj3o0XL04_So0WL0gMKo003Mo@00YOl00=gm0021oj3o0XL04_So0WL0
gMKo003MoP00YOl00=gn0021onKo0:Nko`:701;ho`8R09Wbo`3^oXP1ZXSmo`:k
R7Oco`00fod00:Oo003Ko@00/ool^`3^fool^`3^XOl2Q`0Bn?l28P2Il_l0k_j8
0JZ8oOl2^hQglol00=_m002Wo`00fod00;?oo;/0k]_oo;/0kZ7o0XL04_So0R80
VO;o0>knR06ZR?go0[^8Mo?o003KoP00Yol00=_n002coobk0>kKoobk0>kWo`47
k_l1R5Gn00M4R=goomf8<oh00FJ8h?l2Q`0Bn?l20028l_l5<k_oohQ4oOl2gC=V
m?l00=[m002Xo`00f_d00;?o0@00oT@0c?go0^jkgN;ooT@24@2ke?l1R5Gn00M4
R=goomf8<oh00FJ8h?l2Q`0Bn?l20028l_l5<k_oohQ4oOl2gC=Vm?l00=[m002X
o`00f_d00;?o0@00oT@0c?go0^jkgN;ooT@24@2ke?l1R5Gn00M4R=goomf8<oh0
0FJ8h?l2Q`0Bn?l20028l_l5<k_oohQ4oOl2gC=Vm?l00=[n002Xo`00f_h00;?o
0@00oT@0c?go0^jkgN;ooT@24@2kiol16Nco0P00EO[o0k/008SNo`:701;ho`94
0;_co`:k0>kno`28o?l14J[do`00fOd00:Wo003Io@00aol4R3<00<clo`FIE@0A
R;_no`400?[o1HPcR4AVk^7o0T@0^m;o0P00EO[o0k/008SNo`:701;ho`940;_c
o`:k0>kno`28o?l14J[do`00fOd00:Wo003Io@00aol4R3<00<clo`FIE@0AR;_n
o`400?[o1HPcR4AVk^7o0T@0^m;o0P00EO[o0k/008SNo`:701;ho`940;_co`:k
0>kno`28o?l14J[do`00fOh00:Wo003IoP00aol4R3<00<clo`FIE@0AR;_no`40
0?[o1HPcR4AVk^7o0T@0^nOo0@O]o`?M003<n_l2R00AgOl2Q`0Bn?l1k/cbo`;^
4FKno`3MoOl1^a7do`00f?d00:[o003Ho@00aOl2E@1Vn_l10<clo`400?_o1WLA
k_ooEC?Qo`940;_Co`?M003<n_l2R00AgOl2Q`0Bn?l1k/cbo`;^4FKno`3MoOl1
^a7do`00f?d00:[o003Ho@00aOl2E@1Vn_l10<clo`400?_o1WLAk_ooEC?Qo`94
0;_Co`?M003<n_l2R00AgOl2Q`0Bn?l1k/cbo`;^4FKno`3MoOl1^a7do`00f?h0
0:[o003HoP00aOl2E@1Vn_l10<clo`400?_o1WLAk_ooEC?Qo`940;_Wo`4CkOl2
R00RnOl2E@1VgOl2V@1Vi_l2V@1Vn_l1MfKdo`00eod00:_o003Go@00a_l3E@0A
k_co0L`cnol1003lo`:k07Ono`;<08Sfo`?^R4@An`00A?So0T@0^m?o0XP08_Wo
0UD0I]go0YT0I^Ko0YT0I_[o0GMVm?l00=Om002[o`00eod00<Ko0eD04Nklo`7<
<o_o0@00o?l2^`1go_l2c028m_l3kXQ44O/004Cho`940;_Co`:802;io`9E06KM
o`:I06KVo`:I06Kjo`5gI_Co003GoP00Zol00=On0036o`=E017^o?l1c3?ko`40
0?co0[/0Moko0/`0R?Ko0nj8A17k0014n?l2A02kiol13Ngo0S<0Mo[o0nh00:[M
o`9V09WUo`:I06Kko`4RVOCo003Go@00Zol00=Om0036o`<RIP2Io?l1R8Sko`40
0?co0UD0^ogo0B8Amol1R17h0014n?l2A02kdol2<`1gn_l3kP00Z]go0VH0VNGo
0YT0I__o0B:Im?l00=Om002[o`00eod00<Ko0b9V09Wlo`68R?_o0@00o?l2E@2k
oOl18Q7go`684OP004Cho`940;_Co`8c07Ojo`?^002ZgOl2IP2IiOl2V@1Vnol1
8YWdo`00eoh00:_o003GoP00a_l38VH0VOco0HR8nol1003lo`9E0;_mo`4R4OOo
0HPAn000A?So0T@0^nOo0E;^o`?M003<n_l2V@0AgOl3c00Ak^So0>kno`:I0;_m
o`;<0>keo`00e_d00:co003Fo@00k_l8gK^8Mooo^eF8hol4ZVJk03?lo`54c?_o
0@00oOl2kP00o?l2A02knOl8M`00R=goc2:8m?l2A02ke?l3g@00c?[o0YT04Mgo
0l`04NkXo`3^o_l2V@2koOl2c03^mOl00=Km002/o`00e_d00>ko2=fkR7Oook]E
R>?o1:YV^`0co?l1A<cko`400?go0^h00?co0T@0^oWo27L008SMol`RR?Co0T@0
^mCo0md00<cjo`:I017Mo`?<017^j?l0k_ko0YT0^ogo0/`0k_Go003FoP00[?l0
0=Kn003^o`SM^hQgoonkEHSSo`BZI[/0<oco0DC<nol1003mo`;^003lo`940;_i
o`Qg0028gOo<8XSdo`940;_Wo`5ik_l2R00RnOl2E@1Vg_l3gC<0Z^Oo09Wmo`4c
R?go0HQEm?l00=Gm002]o`00eOd00?3o2^jkE@1gofHc4@3<n?l4VB80<iWlo`1V
n?l5MiWo8P3<o_l1kR;jo`400?go0[/04Oco0XP0R?[o0l`008Smo`:k06Keo`94
0;_Do`:802;io`9E06KNo`?M<`2Ziol0VOgo0C>8oOl1R5Gdo`00eOd00:go003E
o@00l?l:k[]E07OoIS<A0<cho`BI8P0cVOco06Kho`EgVOlR0<cno`7^8_[o0@00
oOl2^`0Ao?l2R028n_l3c000R?go0[/0I_Go0T@0^mCo0XP08_Wo0UD0I]ko0mdc
0:[Wo`2IoOl1<hSmo`68EOCo003EoP00[Ol00=Gn003`o`[^^eD0MomV<a40c?So
19TR03>Io?l0I_So1GNIob80c?ko0NhRn_l1003mo`:k017lo`:808Sjo`?<0028
oOl2^`1VmOl2A02kiol1V^ko0S<08_Y40c<00:[ho`3MlhP0gOWo1>j84B;<i_l1
<nkno`4R^ogo0C>Im?l00=Gm002]o`00eOd00>ko27L0c7NIod@0c?Wo2jXRR6HA
02:Iooo<I_So1B;^ohP0I_ko0JYVn_l1003mo`:804Clo`:805Gjo`9g017ko`9V
08Sfo`940;_Do`8c02;jA0<c002Zn?l0gO>80=gio`C^R14Rc>Ko0C?^o_l18[_m
o`4cVOCo003Eo@00[Ol00=Gm003^o`Qg0<agVOm40<cio`^Z8XQV4@0RVOooc6Kh
o`DRk_n806Kno`6ZI_[o0@00oOl2R014o?l2R01En_l2M`0Anol2IP28m_l2A02k
e?l2<`0RnT@3<`00Z_So0=gcR03MnOl4kXPA8/cVo`4ck_ko0B:koOl1<iWdo`00
eOh00:go003EoP00k_l8M`3<MiWoA03<nOl;ZR:8IQ408YWoolaVn?l58^koR01V
o_l1ZVKjo`400?go0XP0A?co0XP0EO[o0WL04O_o0VH0R?Ko0T@0^nOo0J?_o`?M
003<n_l2R00Amol0c?=40<cjo`>I02:ZiOl6gC=EZ[]ER?ko1<b808SMmOl00=Gm
002]o`00eOd00>ko1c<RVIWooa4An?l;ENkooniV000RA17<nOl6gC?oomd04Oko
0FJZn_l1003mo`:804Clo`:804Cjo`9404Cko`?<003Mmol2A02keOl3g@00c?[o
0XP04OOo0<ccA03<n_l3V@0RZ^Go1]dcEJZkEHSno`C<R028gOGo003Eo@00[Ol0
0=Gm003^o`Lc8YVIoolA4OSo2eG^ooo^IP008T@Ac?Wo1]dcoooM017no`5VZ_[o
0@00oOl2R014o?l2R014n_l2A014nol3c000gOOo0T@0^mGo0md00<cjo`:8017g
o`3<ld@0c?[o0iT08Z[Uo`KM<eFZ^eF8o_l4c8P0R=geo`00eOh00:go003EoP00
k_l7<b:IVOoo4A7ho`]Ek_ookVH002944Lcio`KM<ooog@0Ao_l1IZ[jo`400?go
0XP0A?co0XP0A?[o0T@0A?_o0l`00=ggo`940;_Wo`5Wkol2R00RnOl2<`1Vgol4
ZT@AI^kWo`G^ooo<^nk/o`00eOd00:go003Eo@00kol8g@1VI_oo^`1En?l0R?co
1=egA6K<n?l1VHSno`IE09Woob;^n_l1003mo`:804Clo`:804Cjo`9404Cjo`80
08Sgo`940;_Eo`:802;io`8c06KOo`BZA15Vk^Oo1Nkoolbkk^co003Eo@00[Ol0
0=Gm003_o`SM06IVoonk05Gho`28o?l4gGM4I/cho`6IR?ko1UD0VOoo8^kjo`40
0?go0XP0A?co0XP0A?[o0T@0A?[o0P00R?Oo0T@0^mGo0XP08_Wo0S<0I]oo1:Y4
4FK^iol5k_ooc;_^k?l00=Gn002]o`00eOh00>oo2=d0IVKook/0EOSo08Slo`CM
MdAVc?So0IV8o_l6E@2IoolRk_[o0@00oOl2R014o?l2R014n_l2A014n_l20028
mol2A02kiol19Noo0S<0Mo[o0nh00:[Mo`>Z4B;<cOl00=Gm002]o`00eOd00>oo
29T08^koogL0VNCo0EG<o_l5ZP14ola4nOl1003mo`:804Clo`:805Gjo`:8017j
o`8008Sgo`940;_Eo`8c07Ojo`?^002ZgOl3ZQ4Rc<go003Eo@00[Ol00=Gm003_
o`RI02;^oomg09WTo`5Ec?ko1JX0A?o<A?Wo0@00oOl2R014o?l2R01En_l2R00A
n_l20028mol2A02keOl2<`1gn_l3kP00Z]go0jXA8/c=o`00eOh00:go003EoP00
kol8V@0Rk_ooM`2Ii?l1ELcno`FZ04Coc4Cio`400?go0XP0A?co0XP0EO[o0XP0
4O[o0P00R?Oo0T@0^nOo0B;`o`?M002kn_l2V@0Afol2ZP0cc_l00=Cm002]o`00
eOd00>oo0UD0R?ko0T@0gNCo02;lo`@R0=f8R?Wo0@00oOl2^`14o?l2E@28n_l3
g@00^oco0md00;_go`940;_Fo`?M002kn_l2V@0Afol2ZP0cc_l00=Cm002]o`00
eOd00>oo0UD0R?ko0T@0gNCo02;lo`@R0=f8R?Wo0@00oOl2^`14o?l2E@28n_l3
g@00^oco0md00;_go`940;_Fo`?M002kn_l2V@0Afol2ZP0cc_l00=Cn002]o`00
eOh00>oo0UD0R?ko0T@0gNCo02;lo`@R0=f8R?Wo0@00oOl2^`14o?l2E@28n_l3
g@00^oco0md00;_go`940;_Wo`4^l?l2R00AnOl2E@1Vm_l0c?=40<ceo`940:[?
o`00e?d00:go003Eo@00kol14A7mo`40<nCo0K]Vo?l4R01g<lcio`400?go0^h0
0?co0T@0Z_Wo0WL0A?co0YT08_Ko0T@0^mKo0XP04OWo0UD0I_Ko0<ccA03<mOl2
A02Zcol00=Cm002]o`00eOd00>oo0A4AoOl103?To`6kI_co18P0Mc?<nOl1003m
o`;^003lo`940:[io`9g04Clo`:I02;fo`940;_Fo`:8017io`9E06Kfo`3<ld@0
c?Go0T@0Z/oo003DoP00[Ol00=Gn003_o`4A4Ogo0@0ci?l1^fKlo`B807Lcc?Wo
0@00oOl2kP00o?l2A02ZnOl2M`14o?l2V@0Rm_l2A02kiol1C?3o0S<0I_[o0nh0
0:[fo`3MlhP0gOGo0XP0Mloo003Do@00[Ol00=Gm003`o`:k06Kno`C<08S^VNKo
0GNIo?l3g@0A8_So0@00o?l2E@3<oOl1017mo`RkR>koonhc06Kno`?^4A7<m_l2
A02ke_l2<`1Vn_l3kP00Z_Ko0=gcR03MmOl2R01gcol00=Cm002]o`00eOd00?3o
0[/0I_ko1<`0R>jIi_l1MiWlo`?M014Rn?l1003lo`9E0<cmo`404Ogo2;^8k_oo
kS<0I_ko0nhA4Lcfo`940;_Fo`8c06Kjo`?^002Zm_l0gO>80=geo`:807O?o`00
e?h00:go003EoP00l?l2^`1Vo_l4c028kYWVo`5gVOco0md04B;ho`400?co0UD0
c?go0@0AoOl8^hS^ooo^<`1Vo_l3kQ4Ac?Ko0T@0^nOo0COao`>k0028n_l3R000
^m[o0[/0A<ko003Eo@00[Ol00=Gm003`o`9g0:[no`BI08QVk^Ko0B;^nol2E@1V
n?l1003lo`:k08Sno`:Z08Sno`?<0014o_l8kVH0<hQg4B;<mOl2A02keol3^`00
R?[o0hP00;_Jo`:k04C>o`00eOd00:go003Eo@00l?l2M`2Zo_l4V@28I^kVo`4R
k__o0UD0I_So0@00o?l2^`28o_l2ZP28o_l3c000A?ko2>iV03>8Ma4Rc?Go0T@0
^mOo0k/008Sjo`>8002kf_l2^`14c_l00=Gn002]o`00eOh00?3o0WL0Z_ko19T0
R6K^i_l18^kko`9E06Kho`400?co0[/0R?ko0ZX0R?ko0l`004Cno`S^IP0cR7LA
8/ceo`940;_Wo`4jlol7VGLA000AMk_no`68I_h00R:8gMco0YH07lko003Eo@00
[Ol00=Gm003`o`4c4Ogo0hP0<nkVo`6k0?[o0ZX0Z_So0@00nol6Ma7^oom4<ogo
0=gn003<oOl4gHR8VLcco`940;_Io`NIMa40015g^oko0HQVoP028XSMg?l2UP0O
c_l00=Gm002]o`00eOd00?3o0C<AoOl3R00ck^Ko0K/0n_l2ZP2Zn?l1003ko`Ig
4Nkood@coOl0gOh00<cmo`CMR8RIc??o0T@0^mWo1iUg4@004GNko_l1R6Kn008R
R=gLo`:F01o>o`00eOh00:go003EoP00l?l1<a7mo`>803?^i_l1^`3jo`:Z0:[h
o`400?_o1WLAk_ooA3?mo`3MoP00c?go1=f8R9W<lol2A02kiol0bk_o0XL04/ko
003Eo@00[Ol00=Gm003Yo`2ki_l5^hPA05FInol18^kho`400?[o1HPcR4AVk_co
0mgMA;_Zo`940;^Qo`:701;>o`00eOd00:go003Eo@00jOl0^nKo1K^84@1EVO_o
0B;^n?l1003jo`F8<hQ4I^klo`?MgDBkj_l2A02kXOl2Q`0Bc_l00=Gn002]o`00
eOh00>Wo0;_Vo`FkR140EIWko`4Rk_So0@00n_l5R3>8A6K^o?l3gMe4^n[o0T@0
^nOo09:ko`:701;>o`00eOd00:go003Eo@00`Ol0gOOo0@00nOl2k[_MnOl1kR;Y
o`940;^Qo`:701;>o`00eOd00:go003Eo@00`Ol0gOOo0@00nOl2k[_MnOl1kR;Y
o`940;^Qo`:701;>o`00eOh00:go003EoP00`Ol0gOOo0@00nOl2k[_MnOl1kR;Y
o`940;_Wo`1d^ol2Q`0Bc_l00=Km002/o`00e_d00;Go0@00k_l1I[_Yo`940;^Q
o`:701;>o`00e_d00:co003Fo@00]Ol1003^o`5V^nWo0T@0^j7o0XL04/ko003F
oP00[?l00=Kn002eo`400>ko0FJkjOl2A02kiol0RK_o0XL04/go003Go@00Zol0
0=Om002eo`400?jk0>kdo`;MI/c[oojk0S<0^j7o0XL04/go003Go@00Zol00=Om
002eo`400?jk0>kdo`;MI/c[oojk0S<0^j7o0XL04/go003GoP00Zol00=On002e
o`400?jk0>kdo`;MI/c[oojk0S<0^nOo06Rko`:701;=o`00eod00:_o003Go@00
]OolA03<foolA03<XOl2Q`0BcOl00=Om002[o`00eod00;Goo4@0c=_oo4@0c:7o
0XL04/go003GoP00Zol00=On002eooa40<cKooa40<cWo`1:^ol2^`14cOl00=Sm
002Zo`00f?d0087oX_l2^`14cOl00=Sm002Zo`00f?d0087oX_l2^`14cOl00=Sn
002Zo`00f?h0087oj?l0K[_o0[/0A?[o0[/00?co0[/00=ko003Io@00ZOl00=Wm
0021oj;o0[/0A?[o0[/00?co0[/00=ko003Io@00ZOl00=Wm0021oj;o0[/0A?[o
0[/00?co0[/00=ko003IoP00ZOl00=Wn0021onSo06jko`:k04Cjo`:k003lo`:k
003No`00f_d00:So003Jo@00POnQo`:k04Cjo`:k003lo`:k003No`00f_d00:So
003Jo@00POnQo`:k04Cjo`:k003lo`:k003No`00f_h00:So003JoP00POoWo`1^
^ol2^`14n_l2^`00o?l2^`00gOl00=_m002Wo`00fod0087oXOl2^`14n_l2^`00
o?l2^`00gOl00=_m002Wo`00fod0087oXOl2^`14n_l2^`00o?l2^`00gOl00=_n
002Wo`00foh0087oiol0K[_o0[/0A?[o0[/00?co0[/00=co003Mo@00YOl00=gm
0021oj3o0[/0A?[o0[/00?co0[/00=co003Mo@00YOl00=gm0021oj3o0[/0A?[o
0[/00?co0[/00=co003MoP00YOl00=gn0021onKo06jko`:k04Cjo`:k003lo`:k
003Lo`00g_d00:Co003No@00POnOo`:k04Cjo`:k003lo`:k003Lo`00g_d00:Co
003No@00POnOo`:k04Cjo`:k003lo`:k003Lo`00g_h00:Co003NoP00POoUo`1^
^ol2^`14n_l2^`00o?l2^`00fol00=om002So`00god0087oWol2^`14n_l2^`00
o?l2^`00fol00=om002So`00god0087oWol2^`14n_l2^`00o?l2^`00fol00=on
002So`00goh0087oiOl0K[_o0[/0A?[o0[/00?co0[/00=[o003Qo@00XOl00>7m
0021oiko0[/0A?[o0[/00?co0[/00=[o003Qo@00XOl00>7m0021oiko0[/0A?[o
0[/00?co0[/00=[o003QoP00XOl00>7n0021onCo07Bko`:k04Cjo`:k003lo`:k
003Io`00i?d1002Oo`00i?d10021oigo0[/0A?[o0[/00?co0[/00=Wo003To@40
09oo003To@40087oWOl2^`14n_l2^`00o?l2^`00fOl00>Cn0@00Wol00>Cn0@00
POoSo`2Z^ol2^`14n_l3^`00k_go0[/00?[o1MegR8RkVOko0nigA8S/o`400>Om
0@00WOl1003Wo@00POnKo`:k04Cjo`>k003^oOl2^`00n_l5gGN8R;^Io_l3kWM4
R>co0@00iod1002Mo`400>Om0021oi_o0[/0A?[o0k/00>kmo`:k003jo`GMMhR8
^iWno`?^MdB8k?l1003WoP4009go0@00ioh0087ohOl0][_o0[/0A?[o0k/008Sn
oaSM<`00oooMc?oogB;^oniER?ookVJkVA68jol00>[mo02Oood0j_d10021oi[o
0[/0A?[o0k/008SnoaSM<`00oooMc?oogB;^oniER?ookVJkVA68jol00>[mo02O
ood0j_d10021oi[o0[/0A?[o0k/008SnoaSM<`00oooMc?oogB;^oniER?ookVJk
VA68jol00>[no02Oood0j_h10021on3o0=6ko`:k04Cjo`2koP0>A8QV8[/008So
R>koohPco_l4^k_oonkno`5gA>[o0@00k_d2003oo02Qood00_l00>km0@00POnH
o`:k04Cjo`2koP0>A8QV8[/008SoR>koohPco_l4^k_oonkno`5gA>[o0@00k_d2
003oo02Qood00_l00>km0@00POnHo`:k04Cjo`2koP0>A8QV8[/008SoR>koohPc
o_l4^k_oonkno`5gA>[o0@00k_h2003oo02Qood00_l00>kn0@00POoNo`32^ol2
^`14n_l2^c=VoP07EMgoR0008Z[no`Fk09Woomgjo`5gR>SooP3doOh0oOol0:?o
o03nooh0lod10021oiKo0[/0A?[o0[/cI_h01eGMohP002:Zo_l5^`2IoooMn_l1
MhSXooh0m?gn0?goo02Soo`0o_on0??m0@00POnFo`:k04Cjo`:k<fKn00MEgOn8
000RZ_ko1K/0VOoogO[o0GN8j?on0?CnoP3moo`0Xool0?kooP3coP40087og?l0
V;_o0[/0A?[o1JXcomfkk_go0Mfknol2IP2InOl2kS?^iOod0?Woo02Uoo`0n_oc
087oU?l2^`14n_l5ZS?ogK_^oOl1gK_ko`9V09Wio`;^<nkUoo@0nOol0:Goo03j
oo<0POnDo`:k04Cjo`FZ<ooM^nkmo`7M^o_o0VH0VOWo0^hck^Gom03ioo`0YOol
0?[ol`21om[o06Vko`:k04Cjo`9g0=gao`9V09Wjo`5Vc<koo02Woo`0POn1ooko
0[/0A?[o0WL0gO7o0VH0VO[o0FK<c_ol0:Ooo021oh7oo_l2^`14n_l2M`3MlOl2
IP2In_l1I/c>oo`0Yool087oa?l0MK_o0/`0A?[o0R80VOCo0>kno`9V4Nklo`68
gLcoo02Yoo`0POn1oogo0/`0A?[o0R80VOCo0>kno`9V4Nklo`68gLcoo02Yoo`0
POn1oogo0/`0A?[o0R80VOCo0>kno`9V4Nklo`68gLcoo02Yoo`0POo3o`1e^_l1
02;jo`8008Sdo`2Io_l2kP2ko_l2kVK^b_ol0:_oo021oh7onol102;jo`8008Sd
o`2Io_l2kP2ko_l2kVK^b_ol0:_oo021oh7onol102;jo`8008Sdo`2Io_l2kP2k
o_l2kVK^b_ol0:_oo021ol;o086jo`9g08Sko`940;_eo`7MA?ko2]dAk_oogHS^
onjIbool0:goo021oh7on_l2M`28nol2A02kmOl1gDCno`[M4Nkoomf8k_o^VL_o
o02]oo`0POn1oo[o0WL0R?_o0T@0^oGo0Me4o_l:gA7^oooMR>kokYW;oo`0[Ool
087o`Ol0PKWo0HQEoT@4c?ook/cdo`ZIA6JkZTBZooo<4Od00=g:oo`0[ool087o
POoho`68EOi41<coonk<m?l:VDAV^jY4Z_ooc17m003Mb_ol0:ooo021oh7on?l1
R5GnA0C<ooo^c?Co2YU4I[^ZA:[ool`Ao@00gL[oo02_oo`0POo0o`0lX_l4k_oo
^k^noo`0/Ool087oPOoPo`C^oonk^kkoo02aoo`0POn1on3o1>kook^k__ol0;7o
o021okoo02J1omWoo02coo`0POn1oiKoo02coo`0POn1oiKoo02coo`0POnno`0V
POoHoo`0]Ool087oPOnDoo`0]Ool087oPOnDoo`0]Ool087o_Ol09X7oeool0;Oo
o021oh7oT_ol0;Ooo021oh7oT_ol0;Ooo021okco02J1omKoo02ioo`0POn1oi3o
o02ioo`0POn1oi3oo02ioo`0POnko`0VPOoEoo`0^ool087oPOn>oo`0^ool087o
POn>oo`0^ool087o^_l09X7oe?ol0;goo021oh7oS?ol0;goo021oh7oS?ol0;go
o021okWo02J1om?oo02ooo`0POn1oh[oo02ooo`0POn1oh[oo02ooo`0POnho`0V
POoBoo`0`Ool087oPOn8oo`0`Ool087oPOn8oo`0`Ool087o]ol0?X7odOol0?ko
oP3@ood0o_ol087oPOn6oo`0o_on0=3oo@3noo`0POn1ohKoo03nooh0d?om0?ko
o021okKo03j1om3oo000oo`0dOol003oo021oh7oQ?ol003oo03Aoo`00?ol087o
POn4oo`00?ol0=7oo000oo`0POneo`0VPOo?ooL0d_of087oPOn2ooL0d_of087o
POn2ooL0d_of087o]?l0:X7oc_og0=?om`21oh7oPOl0ooL0doog087oPOn1o`3o
m`3CooL0POnco`0ZPOo=ooP0e?og087oPOn1ookon03DooL0POn1oh7oo_oh0=Co
m`21ok;o02Z1olkomP3EooH0POn1oh7o0?of0=GomP21oh7oPOl0ooH0eOof087o
/ol09X7ocooe0=Kom@21oh7oPOoe0=Kom@21oh7oPOoe0=Kom@21ok?o02J1oloo
m03Goo@0POn1oh;om03Goo@0POn1oh;om03Goo@0POndo`0bPOo@oo<0lOoj0>oo
l`21oh7oPooc0?7onP3_oo<0POn1oh?ol`3aooX0kooc087o]?l0@X7oc_od0?Ko
o@3joO`0m?od087oPOn1o`3om03food0n_gl0?Com021oh7oPOl0oo@0m_om0?[n
o03doo@0POnco`15POo<ooH0nOon0?7m0@00mooe087oPOn1oocomP3iooh0lOd1
003gooD0POn1oh7oo?of0?WooP3aoP400?Oom@21ok7o04F1ol[om`3ko`00k?d1
003iooL0POn1oh7on?og0?_o003/o@400?Wom`21oh7oPOohooL0nol00>cn0@00
nOog087o[ol0AH7ob?oi0?go0@00jOd00?_on021oh7oPOodooT0oOl1003Yo@00
nooh087oPOn1ooCon@3mo`400>Wn003kooP0POn]o`15POo6ooX00_oo0>Km0@00
oOoj087oPOn1oo3onP02ool0i_d1003mooX0POn1oh7ol?oj00;oo`3VoP400?go
nP21oj_o03n1olCoo001o`3So@00o_ol087oPOn1oncoo001o`3So@00o_ol087o
POn1oncoo001o`3SoP00o_ol087oZOl0<h7o`_om0>7m0@3oo@21oh7oPOoXood0
hOd10?om087oPOn1onSoo@3QoP40ood0POnWo`0ZPOo0o`00gogn087oPOn1onCo
003OoOh0POn1oh7oi?l00=onoP21ojGo02Z1ol7o003Mo@00POn1oh7oi?l00=gm
0021oh7oPOoTo`00gOh0087oY?l0:X7o`_l00=cm0021oh7oPOoUo`00g?d0087o
POn1onGo003LoP00POnTo`0ZPOo2o`00fod0087oPOn1onKo003Ko@00POn1oh7o
i_l00=_n0021ojGo02Z1ol?o003Jo@00POn1oh7oiol00=[m0021oh7oPOoWo`00
f_h0087oYOl0:X7oa?l00=Sm0021oh7oPOoYo`00f?d0087oPOn1onWo003HoP00
POnVo`0ZPOo4o`00f?d0087oPOn1onWo003Ho@00POn1oh7ojOl00=Sn0021ojKo
02Z1olCo003Go@00POn1oh7oj_l00=Om0021oh7oPOoZo`00eoh0087oYol0:X7o
aOl00=Km0021oh7oPOo[o`00e_d0087oPOn1on_o003FoP00POnWo`0ZPOo5o`00
e_d0087oPOn1on_o003Fo@00POn1oh7ojol00=Kn0021ojOo02Z1olGo003Eo@00
POn1oh7ok?l00=Gm0021oh7oPOo/o`00eOh0087oZ?l0:X7oaOl00=Gm0021oh7o
POo/o`00eOd0087oPOn1onco003EoP00POnXo`0ZPOo5o`00eOd0087oPOn1onco
003Eo@00POn1oh7ok?l00=Gn0021ojSo02Z1olKo003Do@00POn1oh7okOl00=Cm
0021oh7oPOo]o`00e?h0087oZ?l0:X7oa_l00=Cm0021oh7oPOo]o`00e?d0087o
POn1ongo003DoP00POnXo`0ZPOo6o`00e?d0087oPOn1ongo003Do@00POn1oh7o
kOl00=Cn0021ojSo02Z1olKo003Do@00POn1oh7okOl00=Cm0021oh7oPOo]o`00
e?h0087oZ?l0:X7oa_l00=Cm0021oh7oPOo]o`00e?d0087oPOn1ongo003DoP00
POnXo`0ZPOo6o`00e?d0087oPOn1ongo003Do@00POn1oh7okOl00=Cn0021ojSo
02Z1olGo003Eo@00POn1oh7ok?l00=Gm0021oh7oPOo/o`00eOh0087oZ?l0:X7o
aOl00=Gm0021oh7oPOo/o`00eOd0087oPOn1onco003EoP00POnXo`0ZPOo5o`00
e_d0087oPOn1on_o003Fo@00POn1oh7ojol00=Kn0021ojOo02Z1olGo003Fo@00
POn1oh7ojol00=Km0021oh7oPOo[o`00e_h0087oYol0:X7oa?l00=Om0021oh7o
POoZo`00eod0087oPOn1on[o003GoP00POnWo`0ZPOo4o`00f?d0087oPOn1onWo
003Ho@00POn1oh7ojOl00=Sn0021ojKo02Z1olCo003Ho@00POn1oh7ojOl00=Sm
0021oh7oPOoYo`00f?h0087oY_l0:X7o`ol00=[m0021oh7oPOoWo`00f_d0087o
POn1onOo003JoP00POnUo`0ZPOo3o`00f_d0087oPOn1onOo003Jo@00POn1oh7o
iol00=[n0021ojGo02Z1ol;o003Lo@00POn1oh7oiOl00=cm0021oh7oPOoUo`00
g?h0087oY?l0:X7o`Ol00=gm0021oh7oPOoTo`00gOd0087oPOn1onCo003MoP00
POnTo`0ZPOo0o`00god0087oPOn1on;o003Oo@00POn1oh7oh_l00=on0021oj?o
02Z1ol3o003Po@00POn1oh7ohOl00>3m0021oh7oPOoQo`00h?h0087oX_l0:X7o
_ol00>;m0021oh7oPOoOo`00h_d0087oPOn1omoo003RoP00POnQo`0]POnno`40
0>Gm0021oh7oPOoMo`400>Gm0021oh7oPOoMo`400>Gn0021oj3o02f1okco003X
o@40087oPOn1om[o003Xo@40087oPOn1om[o003XoP40087oWol0<87o^ol1003/
o@40087oPOn1omOo0@00k?d10021oh7oPOoGo`400>cn0@00POnMo`0`POnio`40
0?3m0@00POn1oh7odol1003`o@40087oPOn1om?o0@00l?h10021oi_o02Z1okOo
o@3goOh0POn1oh7ocoom0?OmoP21oh7oPOo?ood0mokn087oVOl07X7o/oog087o
POn1olSom`21oh7oPOo8ooL0POnFo`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0FPOn1oh7oPOn1oh7oPOn1oh7oPOnho`0F
POn1oh7oPOn1oh7oPOn1oh7oPOnho`0QPOn@o`6IgH7oPOn1ol3o0IWMPOn1oh7o
`?l1VMf1ok7o0261oi3o0DBkPOn1oh7o`?l1A;^1oh7oPOo0o`54^h7o/Ol08H7o
T?l1A;^1oh7oPOo0o`54^h7oPOn1ol3o0DBkPOnao`12POnao`400?co0T@0^n[o
0DBkPOn1oh7ohOl1003lo`940;_Zo`54^h7oPOn1on7o0@00o?l2A02kj_l1A;^1
ok7o09^1olgo3>jZR5G^ooo^IVK^oooeR0BIool00?co0T@0^n[o0DBknOl8gK^8
Mooo^eF8POn1ohko3>jZR5G^ooo^IVK^oooeR0BIool00?co0T@0^n[o0DBknOl8
gK^8Mooo^eF8POn1ohko3>jZR5G^ooo^IVK^oooeR0BIool00?co0T@0^n[o0DBk
nOl8gK^8Mooo^eF8POo2o`2QPOo=o`c^^hP0A?oM<c<AgOoomHP4VOoo003lo`94
0;_Zo`54^o[o2^jkE@1gofHc4@3<POn1ohoo3>jkR014omdc<a7MoooeR0BIool0
0?co0T@0^n[o0DBkn_l:k[]E07OoIS<A0<b1oh7oSol<k[^804CogC<c4MgoooF8
19Woo`00o?l2A02kj_l1A;_jo`[^^eD0MomV<a40c87o`ol0TX7ob_l4A03^I^k]
o`400?co0T@0^o3o09WlR04RI_b80=gno`Qg0<agVOm40<b1oh7oS?l4A03^I^k]
o`400?co0T@0^o3o09WlR04RI_b80=gno`Qg0<agVOm40<b1oh7oS?l4A03^I^k]
o`400?co0T@0^o3o09WlR04RI_b80=gno`Qg0<agVOm40<b1ol?o08b1ol[o0hP0
<lc/o`400?co0T@0^o3o09WlR04RI_b80=gno`Lc8YVIoolA4H7oPOn;o`>803?<
k?l1003lo`940;_`o`2Io8P18VKlR03Mo_l7<b:IVOoo4A61oh7oRol3R00cc>co
0@00o?l2A02kl?l0VOb80B9Vo8P0gOko1c<RVIWooa4APOo2o`23POo:o`;<05Gj
ooE417Ooo`00o?l2A02kj_l1A;_io`SM06IVoonk05F1oh7oRol2c01En_oeA0Ag
ool00?co0T@0^n[o0DBknOl8g@1VI_oo^`1EPOn1oh_o0/`0EO[omD@4Mooo003l
o`940;_Zo`54^oWo2=d0IVKook/0EH7o`_l0Sh7obOl103?jooFk1<coo`00o?l2
A02km?l1Z/cio`54^oWo29T08^koogL0VH7oPOn:o`40<o[omK/4c?oo003lo`94
0;_do`6Zc?Wo0DBknOl8V@0Rk_ooM`2IPOn1oh[o0@0cn_oe^`C<ool00?co0T@0
^oCo0J[<nOl1A;_io`RI02;^oomg09V1ol;o08J1ol[o0hPR0>k/o`400?co0T@0
^oCo0A5EnOl1A;_io`9E08Sno`940=f1oh7oRol3R280k^co0@00o?l2A02km?l1
4EGio`54^oWo0UD0R?ko0T@0gH7oPOn;o`>88P3^k?l1003lo`940;_do`4AEOWo
0DBknOl2E@28o_l2A03MPOo2o`26POo;o`CMMhP0Z^co0P00k_go0T@0^oCo0Mg^
nOl1A;_io`4A4Ogo0@0cPOn1oh_o1=egR02Zk?l2003^oOl2A02km?l1gNkio`54
^oWo0A4AoOl103>1oh7oRol4gGN80:[/o`800>kmo`940;_do`7Mk_Wo0DBknOl1
4A7mo`40<h7o`Ol0V87obol7ENjk07OoR=g_o`8008Sno`JI002komgMkOl1A;_j
o`:k06Kno`C<08S^VH7oPOn=o`MEk[/0Mon8gNoo0P00R?ko1YT00;_ogMg]o`54
^o[o0[/0I_ko1<`0R>jIPOn1ohgo1eG^^`1gohSMkol20028o_l6V@00^ooMgNgo
0DBkn_l2^`1Vo_l4c028kYV1ol?o0;n1oloo2^i4R6JZool08XR8k_on00QVR4A4
M`1EohSno`QgR8QgZ^jZA3?ho`6IgO[o0WL0Z_ko19T0R6K^POn1oi7o2^i4R6JZ
ool08XR8k_on00QVR4A4M`1EohSno`QgR8QgZ^jZA3?ho`6IgO[o0WL0Z_ko19T0
R6K^POn1oi7o2^i4R6JZool08XR8k_on00QVR4A4M`1EohSno`QgR8QgZ^jZA3?h
o`6IgO[o0WL0Z_ko19T0R6K^POo3o`2ZPOo?o`?M016Io_l2M`1VkOlGA7L00168
omdA017<oonIA?ooA>koob9gkol1<a7mo`>803?^POn1oi3o0md04IWno`9g06K]
oaM4M`004HSogA404LcooiU4oom4k_oo8WO_o`4c4Ogo0hP0<nj1oh7oT?l3g@0A
VOko0WL0I^go5dAg000AR?oM4@0Ac?ooVDCoodC^oolRMnoo0C<AoOl3R00ckX7o
`_l0Ph7oc_l1gMglo`3<kOl4kP3ogK_mo`7^^ogo2HP0c?nkooo<0:[Xo`2kPOn1
ohgo0MgMo?l0c>go1>h0omfkoOl1k[_mo`V80<co^oooc02Zj?l0^h7oPOn=o`7M
gOco0<c]o`C^0?oM^ogo0NjkoOl9R03<ok_ool`0Z^So0;^1ol3o04R1ok;o0ZX0
c?Go0nhR4Mgno`68087oPOn1omKo0ZX0c?Go0nhR4Mgno`68087oPOn1omKo0ZX0
c?Go0nhR4Mgno`68087oYOl0AH7o/_l2R028m?l2c154o_l1EEF1oh7oPOoFo`:8
08Sdo`;<4DCno`5EEH7oPOn1omKo0XP0R?Co0/`AA?ko0EEEPOnUo`1;POnbo`94
08Sfo`W<oonI0<coo`2IPOn1oh7oe_l2A028m_l9c?ooV@3<ool0VH7oPOn1omKo
0T@0R?Ko2LcooiT0c?oo09V1ojGo04j1ok;o0XP0VOKo06Kno`H0gOnZ0=f8POn1
oh7oeol2R02Im_l0I_ko1P3MojX0gHR1oh7oPOoGo`:809Wfo`1Vo_l60=goZP3M
R87oY_l0Bh7o/Ol0c?Ko2l`cR;]gVOooR01gkX7oPOn1omKo0<cfo`_<<hRkMiWo
ohP0Mnj1oh7oPOoFo`3<m_l;c3>8^gNIoon807O^POnVo`0fPOnUo`C^onjkk_go
0;^1oh7oPOo8o`C^onjkk_go0;^1oh7oPOo8o`C^onjkk_go0;^1ojCo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7o
POn1oh7oPOn1oh7oPOn1okSo02J1on7omP2:ooD0POn1olcomP2:ooD0POn1olco
mP2:ooD0POo/o`0nPOoTooh0m_gm097ooP3eoOh0POn1om;ooP3foOd0TOon0?Gm
oP21oh7od_on0?Kno@2Aooh0mOkn087okol0A87oioon0>om0@00U_on0>om0@00
POn1omOooP3_o@4009KooP3_o@40087oPOoGooh0koh1002Fooh0koh10021oo7o
0461onSo003Zo@00V?l00>[m0@00POn1om[o003Zo@00V?l00>[m0@00POn1om[o
003ZoP00V?l00>[n0@00POoco`17POoZo`400>Sm0@00W?l1003Wo@00POn1omgo
0@00j?d1002Lo`400>Om0021oh7ogOl1003XoP4009co0@00ioh0087om?l0?X7o
jol00>Cm002No`00i?d0087oPOoOo`00i?d009ko003To@00POn1omoo003ToP00
W_l00>Cn0021ooGo03j1onco003Ro@00X?l00>;m0021oh7ohOl00>;m002Po`00
h_d0087oPOoQo`00h_h00:3o003RoP00POofo`0nPOo]o`00h?d00:;o003Po@00
POn1on?o003Po@00X_l00>3m0021oh7ohol00>3n002Ro`00h?h0087omol0?X7o
k_l00=km002To`00g_d0087oPOoUo`00g_d00:Co003No@00POn1onGo003NoP00
Y?l00=kn0021ooSo03j1onoo003Lo@00YOl00=gm0021oh7oiol00=cm002Uo`00
gOd0087oPOoWo`00g?h00:Go003MoP00POoio`0nPOo_o`00g?d00:Ko003Lo@00
POn1onOo003Lo@00Y_l00=cm0021oh7oiol00=cn002Vo`00g?h0087onOl0LXco
0[^kgOko0=g/o`00f_d00:So003Jo@00j_l2gK^ko_l0gH7oXol2^k_Mo_l0gNco
003Jo@00Z?l00=[m003Zo`;M^k_no`3MPOnSo`:k^mgno`3Mk?l00=[n002Xo`00
f_h00>[o0]fk^oko0=fHo`2m/_l2^gLAo@04IYWoR4Cm008RR=gao`W^Ma5VR6Hc
MhR8k?l00=[m002Xo`00fOd00>go2;/c8XR8<eF8<h7obOl2^gLAo@04IYWoR4Cm
008RR=gao`W^Ma5VR6HcMhR8k?l00=[m002Xo`00fOd00>go2;/c8XR8<eF8<h7o
bOl2^gLAo@04IYWoR4Cm008RR=gao`W^Ma5VR6HcMhR8k?l00=[n002Xo`00fOh0
0>go2;/c8XR8<eF8<iSo0;6`o`2ZoP00Moco03?n003^kol2<`3<o_l3gC<0R>go
003Ho@00Z_l00=Sm003^o`:Z05Gmo`:80021olOo0:[n001go?l0<oh00>k_o`8c
0<cno`?M<`28kOl00=Sm002Zo`00f?d00>ko0ZX0EOgo0XP0087oaol0Z_h007Ol
o`0coP00k^oo0S<0c?ko0mdc08S]o`00f?h00:[o003HoP00k_l2ZP1EoOl2R000
V?l0YK3o0;_n0028o?l0A?h0kol2V@14o?l2kR:8kOl00=Sm002Zo`00f?d00>ko
0R80^oco0HP0POo7o`2koP00R?co04Cn0>oo0YT0A?co0^hRR>go003Ho@00Z_l0
0=Sm003^o`8R0;_lo`68087oaol0^oh008Slo`14oP3_o`:I04Clo`;^8XS]o`00
f?h00:[o003HoP00k_l28P2ko?l1R02Ho`2U/?l0^oh008Slo`14oP3_o`=E017^
o?l1VHS^o`00e_d00:co003Fo@00l?l3c000R?_o02:1olOo0;_n0028o?l0A?h0
kol3E@0Ak_co0IV8k_l00=Km002/o`00e_d00?3o0l`008Sko`0RPOo7o`2koP00
R?co04Cn0>oo0eD04Nklo`6IR>ko003FoP00[?l00=Kn003`o`?<0028nol08YSo
0:^`o`2koP00R?co04Cn0>oo14@003?<oOl1kXS^o`00e_d00:co003Fo@00l?l0
^oh008Slo`1gPOo7o`2koP00R?co04Cn0>oo14@003?<oOl1kXS^o`00e_d00:co
003Fo@00l?l0^oh008Slo`1gPOo7o`2koP00R?co04Cn0>oo14@003?<oOl1kXS^
o`00e_h00:co003FoP00l?l0^oh008Slo`1gV?l0Z;3o0;_n0028o?l0A?h0o_l0
VOE40YWoMod00FKMj_l00=Km002/o`00e_d00?3o0>km004RVH7o`ol0^oh008Sl
o`14oP3no`2ImD@2VOmgo@01I]gZo`00e_d00:co003Fo@00l?l0k_d00B:IPOo3
o`2koP00R?co04Cn0?ko09WeA0:IogOm005VgN[o003FoP00[?l00=Kn003`o`3^
o@018YVDo`2[/?l0^oh008Slo`14oP3no`2ImD@3VOo^4O`00FKMk?l00=Gm002]
o`00eOd00?3o08Sl004RVH7oaOl0^oh008Slo`14oP3no`2ImD@3VOo^4O`00FKM
k?l00=Gm002]o`00eOd00?3o08Sl004RVH7oaOl0^oh008Slo`14oP3no`2ImD@3
VOo^4O`00FKMk?l00=Gn002]o`00eOh00?3o08Sl004RVIKo09V`o`2koP008_a4
017n0>ko0L`Ao0014HS^o`00e?d00:go003Eo@00kol0I_/00DCMPOo7o`2koP00
8_a4017n0>ko0L`Ao0014HS^o`00e?d00:go003Eo@00kol0I_/00DCMPOo7o`2k
oP008_a4017n0>ko0L`Ao0014HS^o`00e?h00:go003EoP00kol0I_/00DCMV?l0
VK3o0;_n001Vo;/0<oh0kOl1gEGk001Vkol00=Cm002^o`00e?d00>ko0ITAo001
4Lb1olSo0;_n001Vo;/0<oh0kOl1gEGk001Vkol00=Cm002^o`00e?d00>ko0ITA
o0014Lb1olSo0;_n001Vo;/0<oh0kOl1gEGk001Vkol00=Cn002^o`00e?h00>ko
0ITAo0014LbIo`2a/?l0^oh008Slo`14oP3no`28m@00R?co0K]4o000^o3o003D
o@00[_l00=Cm003]o`;^R17m0014POo8o`2koP00R?co04Cn0?ko08Se0028o?l1
^dCl002kl?l00=Cm002^o`00e?d00>go0^j84Od004B1olSo0;_n0028o?l0A?h0
o_l0R?D008Slo`6kA?`00;_`o`00e?h00:ko003DoP00kOl2kXPAo@00A9Wo0<>`
o`2koP00R?co04Cn0?ko0;_eR0:koiWlo`6k<oh006K`o`00e?d00:ko003Do@00
lOl1c<cmo`7^R?d00=f1olWo0;_n0028o?l0A?h0o_l0^oF80[_oVOco0K/coP00
I_3o003Do@00[_l00=Cm003ao`7<c?go0Nj8o@00gH7obOl0^oh008Slo`14oP3n
o`2kmHP2^onIo?l1^c?n001Vl?l00=Cn002^o`00e?h00?7o0Lc<oOl1kXSm003M
V_l0i;3o0;_n0028o?l0A?h0kol1A>klo`C^E@00A?co1NjIR7MVc?_o003Do@00
[_l00=Cm003ao`6kMo_o0;_n002koOl5VGN8EHS^POoCo`2koP00R?co04Cn0>oo
0DC^o?l4kUD004Clo`G^VHQgI/cko`00e?d00:ko003Do@00lOl1^gOko`2koP00
^ogo1IUgR5F8kX7odol0^oh008Slo`14oP3_o`54k_co1>iE0014o?l5kYV8MfK<
nol00=Cn002^o`00e?h00?7o0K]gnol0^oh00;_mo`FIMhQER>jTo`3`/?l0^oh0
08Slo`14oP3_o`54R?_o0md007Omo`JZA;_ooc<Anol00=Cm002^o`00e?d00?7o
0[/Ak__o36H00>kool`c<nkokR;n001gPOoFo`2koP00R?co04Cn0>oo0DB8nol3
g@00Mogo1ZY4^ooo<a7ko`00e?d00:ko003Do@00lOl2^a7^nol<IP00k_ooc3<c
k_o^8_h007N1omKo0;_n0028o?l0A?h0kol1A8Sko`?M001goOl6ZTBkoolc4O_o
003DoP00[_l00=Cn003ao`:k4Nkko`aV003^ooo<<c?^onhRoP00MjOo0?>`o`2k
oP00R?co04Cn0>oo0T@Ac?_o0P00c?ko0YTAc?ko0B8Rnol00=Cm002^o`00e?d0
0?7o0[/0I__o0XP0EOko0S<0gOko18P0Mk_^POoFo`2koP00R?co04Cn0>oo0T@A
c?_o0P00c?ko0YTAc?ko0B8Rnol00=Cm002^o`00e?d00?7o0[/0I__o0XP0EOko
0S<0gOko18P0Mk_^POoFo`2koP00R?co04Cn0>oo0T@Ac?_o0P00c?ko0YTAc?ko
0B8Rnol00=Cn002^o`00e?h00?7o0[/0I__o0XP0EOko0S<0gOko18P0Mk_^Yol0
ok3o0:[n001go?l0<oh00>k`o`=4016koOl2M`2Io_l2^`2Io_l2R02Inol00=Cm
002]o`00eOd00?7o1;/006K^o_l8gA4ck_ooZP1EoOl2R028POoDo`2ZoP00Moco
03?n003^l?l3A00A^ogo0WL0VOko0[/0VOko0XP0VO_o003Do@00[Ol00=Gm003a
o`Bk001Vk_ko2=dA<nkoojX0EOgo0XP0R87oe?l0Z_h007Olo`0coP00k_3o0d@0
4K_mo`9g09Wno`:k09Wno`:809Wko`00e?h00:go003EoP00lOl4^`00I^kno`SM
4C?^oonZ05Gmo`:808RUo`48/_l2^gLAo@04IYWoR4Cm008RR=gbo`U4MhPc<hR8
8S>ZoOl78R;oonj84IWio`00eOd00:go003Eo@00lOl:^c>8IR9VR6HAI^kno`:8
08Smo`8c0:Z1omKo0[]g4Od016JIohQ4o@028XSMl_l9A7N8<c>8R28cZ_go1b8R
ooo^R16InOl00=Gm002]o`00eOd00?7o2[/cR6HRIXQV4FK^o_l2R028oOl2<`2Z
POoFo`:kMa7m00AVVOn8A?d00R:8gO;o2DAgR3<cR8PR<j[mo`LR8_ookXPAVOWo
003EoP00[Ol00=Gn003ao`Zk<hQV8VJ8IQ5Vk_ko0XP0R?go0S<0ZZGo0;f@o`3M
o_l3k[^kk_co1jX0EJYg<hS^n?l00=Km002/o`00e_d00?3o0Nk^o_l2c;_<nol2
ZP1go_l2^`14POnco`3Mo_l3k[^kk_co1jX0EJYg<hS^n?l00=Km002/o`00e_d0
0?3o0Nk^o_l2c;_<nol2ZP1go_l2^`14POnco`3Mo_l3k[^kk_co1jX0EJYg<hS^
n?l00=Kn002/o`00e_h00?3o0Nk^o_l2c;_<nol2ZP1go_l2^`14Y?l0Kh?o16H0
IZ[MmOl00=Km002/o`00e_d00>7o1fHA^onk4EG^POnVo`AV06JZgOGo003Fo@00
[?l00=Km003Qo`MV4K_o^a5EkX7oY_l4IP1VZ]geo`00e_h00:co003FoP00hOl7
IQ6kok/AENjTo`1PPol2A02klol00=Km002/o`00e_d00>3o19TAMhSMPOnTo`94
0;_co`00e_d00:co003Fo@00h?l4VA5gR=f1ojCo0T@0^o?o003FoP00[?l00=Kn
003Po`BI4GN8gJ;o06V3o`9V08Smo`7^MoSo003Go@00Zol00=Om003Qo`:8ENj1
oj7o0VH0R?go0Nign?l00=Om002[o`00eod00>7o0XQEkX7oXOl2IP28oOl1kWOh
o`00eoh00:_o003GoP00hOl2R5G^Wol0LX?o2;/04HSooiUEk_So003Ho@00Z_l0
0=Sm003Qo`C<03>IgH7oX_l8^`0AR?ooVEG^n?l00=Sm002Zo`00f?d00>7o1<`0
<iWMPOnRo`Rk0168oonIENkho`00f?h00:[o003HoP00hOl4c00cVMfPo`1_P_l0
R?h00B:8m_l00=Sm002Yo`00fOd00>3o017n008AEJZ1ojCo08Sn004RR?Ko003H
o@00ZOl00=Wm003Po`0AoP024EFZPOnTo`28oP018XSfo`00f?h00:Wo003IoP00
h?l04Oh00Q5EZZ?o06n1o`;^^lcco`00f_d00:So003Jo@00hOl9c4BkgJYg<`00
A87oY?l2k[_<lol00=[m002Xo`00f_d00>7o2La4^mfZMc<004B1ojCo0^jkc??o
003JoP00Z?l00=[n003Qo`W<A;_MZWLc0014Y?l0Gh7okol00=_m002Wo`00fod0
0>;o0]dA^oco0mdc0;^1oi?o003Ko@00Yol00=_m003Ro`;M4K_lo`?M<`2kPOnC
o`00foh00:Oo003KoP00h_l2gA6ko?l3gC<0^jGo05V1onoo003Lo@00Y_l00=cm
003Qo`680?[o0[/0gH7oTol00=cm002Vo`00g?d00>7o0HP0n_l2^`3MPOnCo`00
g?h00:Ko003LoP00hOl1R03jo`:k0=fUo`1LPOo^o`00g_d00:Co003No@00h?l2
^`2Io?l2kTAgPOnAo`00g_d00:Co003No@00h?l2^`2Io?l2kTAgPOnAo`00g_h0
0:Co003NoP00h?l2^`2Io?l2kTAgY?l0G87okOl00>3m002Ro`00h?d00=ko2:Xc
<gN8R4AE^h7oSol00>3m002Ro`00h?d00=ko2:Xc<gN8R4AE^h7oSol00>3n002R
o`00h?h00=ko2:Xc<gN8R4AE^j?o04f1onco003Ro@00X?l00>7m003Lo`?^^k_<
POn;o`00h_d00:3o003Qo@00g?l3k[^kc87oRol00>;n002Po`00hOh00=co0njk
^lbPo`11POo[o`00i?d009ko003To@40087oPOoPo`00i?d009ko003To@40087o
POoPo`00i?h009ko003ToP40087om_l0@H7oj_l00>Km0@00WOl00>Km0021oh7o
gOl00>Km0@00WOl00>Km0021oh7ogOl00>Kn0@00WOl00>Kn0021ooCo04B1onWo
0@00j_gl09ooo@3Zo@40087oPOoKo`400>[mo02Oood0j_d10021oh7ofol1003Z
o_`0Woom0>[n0@00POoco`1LPOoWo`400>km0P00oo`0XOom00;o003^o@40087o
POoGo`400>km0P00oo`0XOom00;o003^o@40087oPOoGo`400>kn0P00oo`0XOom
00;o003^oP40087olOl0HX7oiOl1003bo@400?goo02Soo`0o_l1003bo@40087o
POoCo`400?;m0@00oOol0:?oo03no`400?;m0@00POn1om?o0@00l_h1003moo`0
Xool0?ko0@00l_h10021onoo03j1on?olP3joo`0YOol0?_olP21oh7ocoob0?[o
o02Uoo`0noob087oPOo?oo80n_ol0:Goo03koo80POo]o`0VPOo<oo`0Yool087o
POnRoo`0Yool087oPOnRoo`0Yool087oeol09X7obool0:Woo021oh7oX?ol0:Wo
o021oh7oX?ol0:Woo021omKo02J1ol[oo02[oo`0POn1oikoo02[oo`0POn1oiko
o02[oo`0POoEo`0VPOo9oo`0[Ool087oPOnLoo`0[Ool087oPOnLoo`0[Ool087o
e?l09X7ob?ol0:ooo021oh7oV_ol0:ooo021oh7oV_ol0:ooo021om?o02J1olOo
o02aoo`0POn1oiSoo02aoo`0POn1oiSoo02aoo`0POoBo`0VPOo6oo`0/ool087o
POnFoo`0/ool087oPOnFoo`0/ool087odOl09X7oaOol0;Goo021oh7oU?ol0;Go
o021oh7oU?ol0;Goo021om3o02J1olCoo02goo`0POn1oi;oo02goo`0POn1oi;o
o02goo`0POo?o`0VPOo3oo`0^Ool087oPOn@oo`0^Ool087oPOn@oo`0^Ool087o
c_l09X7o`_ol0;_oo021oh7oS_ol0;_oo021oh7oS_ol0;_oo021olgo02J1ol7o
o02moo`0POn1ohcoo02moo`0POn1ohcoo02moo`0POo<o`0VPOo0oo`0_ool087o
POn:oo`0_ool087oPOn:oo`0_ool087obol09X7o_ool0<7oo021oh7oR?ol0<7o
o021oh7oR?ol0<7oo021ol[o03j1okkoo03nooh0d?on0?goo021oh7oQ_ol0?ko
oP3@ooh0oOol087oPOn6oo`0o_on0=3ooP3moo`0POo9o`0nPOnmoo`00?ol0=7o
o000oo`0POn1ohCoo000oo`0dOol003oo021oh7oQ?ol003oo03Aoo`00?ol087o
b?l09X7o_?og0=;omP21oh7oP_og0=;omP21oh7oP_og0=;omP21olOo02Z1ok_o
m`3CooL0POn1oh7o0?og0=?om`21oh7oPOl0ooL0doog087oa_l0;87o^oog0=Co
m`21oh7oPOl1ooog0=Com`21oh7oPOl1ooog0=Com`21olGo02Z1ok_omP3EooH0
POn1oh7o0?of0=GomP21oh7oPOl0ooH0eOof087oa_l09X7o_?oe0=Kom@21oh7o
POoe0=Kom@21oh7oPOoe0=Kom@21olKo02J1okcom@3Foo@0POn1oh;om@3Foo@0
POn1oh;om@3Foo@0POo7o`0bPOnmoo<0l?ol0>kol`21oh7oPooc0?3oo03^oo<0
POn1oh?ol`3`oo`0k_oc087oaol0?X7o_?od0?Goo03loO`0lood087oPOn1oo@0
mOol0?cmo03coo@0POn1oh7om03eoo`0o?kl0??om021olKo04F1ok[om@3iooh0
l_d1003fooD0POn1oh7ooOoe0?WooP3bo@400?Kom@21oh7oPOomooD0nOon0?;n
0@00m_oe087oa?l0AH7o^?og0?[o003]o@400?Som`21oh7oPOoiooL0n_l00>gm
0@00n?og087oPOn1ooWom`3jo`00kOh1003hooL0POo2o`18POnfooP0oOl1003Z
o@400?_on021oh7oPOoeooP0oOl1003Zo@400?_on021oh7oPOoeooP0oOl1003Z
oP400?_on021ol3o04:1okConP3no`00i_d00?conP21oh7oPOoaooX0o_l00>Km
003looX0POn1oh7olOoj0?ko003VoP00o?oj087o__l0=X7o/_oi0>Cm003noo/0
POn1oh7okOoi0>Cm003noo/0POn1oh7okOoi0>Cn003noo/0POnlo`0fPOn`ood0
hOd20?ooo@21oh7oPOoYood0hOd20?ooo@21oh7oPOoYood0hOh20?ooo@21ok[o
03>1ojgo003Po@<0o`00POn1oh7oi?l00>3m0`3o0021oh7oPOoTo`00h?h30?l0
087o^?l0:X7o[_l00=km0021oh7oPOoSo`00g_d0087oPOn1on?o003NoP00POnf
o`0ZPOn_o`00g?d0087oPOn1onGo003Lo@00POn1oh7oiOl00=cn0021okOo02Z1
ok3o003Jo@00POn1oh7oiol00=[m0021oh7oPOoWo`00f_h0087o^?l0:X7o/?l0
0=[m0021oh7oPOoWo`00f_d0087oPOn1onOo003JoP00POnho`0ZPOnao`00f?d0
087oPOn1onWo003Ho@00POn1oh7ojOl00=Sn0021okWo02Z1ok7o003Ho@00POn1
oh7ojOl00=Sm0021oh7oPOoYo`00f?h0087o^Ol0:X7o/_l00=Om0021oh7oPOoZ
o`00eod0087oPOn1on[o003GoP00POnio`0ZPOnbo`00e_d0087oPOn1on_o003F
o@00POn1oh7ojol00=Kn0021ok[o02Z1ok;o003Fo@00POn1oh7ojol00=Km0021
oh7oPOo[o`00e_h0087o^_l0:X7o/_l00=Km0021oh7oPOo[o`00e_d0087oPOn1
on_o003FoP00POnjo`0ZPOnco`00eOd0087oPOn1onco003Eo@00POn1oh7ok?l0
0=Gn0021ok[o02Z1ok?o003Do@00POn1oh7okOl00=Cm0021oh7oPOo]o`00e?h0
087o^ol0:X7o/ol00=Cm0021oh7oPOo]o`00e?d0087oPOn1ongo003DoP00POnk
o`0ZPOnco`00e?d0087oPOn1ongo003Do@00POn1oh7okOl00=Cn0021ok_o02Z1
ok?o003Do@00POn1oh7okOl00=Cm0021oh7oPOo]o`00e?h0087o^ol0:X7o/ol0
0=Cm0021oh7oPOo]o`00e?d0087oPOn1ongo003DoP00POnko`0ZPOnco`00e?d0
087oPOn1ongo003Do@00POn1oh7okOl00=Cn0021ok_o02Z1ok?o003Do@00POn1
oh7okOl00=Cm0021oh7oPOo]o`00e?h0087o^ol0:X7o/ol00=Cm0021oh7oPOo]
o`00e?d0087oPOn1ongo003DoP00POnko`0ZPOnbo`00e_d0087oPOn1on_o003F
o@00POn1oh7ojol00=Kn0021ok[o02Z1ok;o003Fo@00POn1oh7ojol00=Km0021
oh7oPOo[o`00e_h0087o^_l0:X7o/_l00=Km0021oh7oPOo[o`00e_d0087oPOn1
on_o003FoP00POnjo`0ZPOnbo`00e_d0087oPOn1on_o003Fo@00POn1oh7ojol0
0=Kn0021ok[o02Z1ok7o003Ho@00POn1oh7ojOl00=Sm0021oh7oPOoYo`00f?h0
087o^Ol0:X7o/Ol00=Sm0021oh7oPOoYo`00f?d0087oPOn1onWo003HoP00POni
o`0ZPOn`o`00f_d0087oPOn1onOo003Jo@00POn1oh7oiol00=[n0021okSo02Z1
ok3o003Jo@00POn1oh7oiol00=[m0021oh7oPOoWo`00f_h0087o^?l0:X7o[ol0
0=cm0021oh7oPOoUo`00g?d0087oPOn1onGo003LoP00POngo`0ZPOn_o`00g?d0
087oPOn1onGo003Lo@00POn1oh7oiOl00=cn0021okOo02Z1ojko003No@00POn1
oh7ohol00=km0021oh7oPOoSo`00g_h0087o]_l0:X7o[Ol00>3m0021oh7oPOoQ
o`00h?d0087oPOn1on7o003PoP00POneo`0ZPOn/o`00h_d0087oPOn1omoo003R
o@00POn1oh7ogol00>;n0021okCo02Z1oj_o003To@00POn1oh7ogOl00>Cm0021
oh7oPOoMo`00i?h0087o/ol0<87oZ_l1003Xo@40087oPOn1om_o0@00j?d10021
oh7oPOoKo`400>Sn0@00POnbo`0]POnXo`00jod10021oh7oPOoGo`00jod10021
oh7oPOoGo`00joh10021ok3o02f1ojOooP3`o@40087oPOn1omCooP3`o@40087o
POn1omCooP3`oP40087o[_l0:X7oY?on0?KmoP21oh7oPOo?ooh0m_gn087oPOn1
oloooP3fo_h0POn/o`0NPOnQooH0POn1oh7obOof087oPOn1olWomP21ojWo01J1
oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1
oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1
oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1
oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1
oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1
oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1
oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo06j1
ojGo0;_co`3^oOl2gK^ko_l0gNWo0[^kgOko0=gco`3^POn1ohOo0;_co`3^oOl2
gK^ko_l0gNWo0[^kgOko0=gco`3^POn1ohOo0;_co`3^oOl2gK^ko_l0gNWo0[^k
gOko0=gco`3^POoSo`26POnUo`54^oKo3JY4gOoo^c<RR8PcEHPck?l9kWLAIXQV
<gN8R??o0EF8POn1ohSo0DBkm_l=ZTCMoonk<b:8R3=ER3?/o`W^Ma5VR6HcMhR8
lol1EHR1oh7oR?l1A;_fo`fZA=gook/c8XR8<eF8<nco2Nig4FJ8IS=gR8Sco`5E
R87oi?l0RH7oYOl1A;_go`Mg8^koojX0EOgo0XP00>co0S<0c?ko0mdc08Sbo`9E
A>j1oh7oR_l1A;_go`Mg8^koojX0EOgo0XP00>co0S<0c?ko0mdc08Sbo`9EA>j1
oh7oR_l1A;_go`Mg8^koojX0EOgo0XP00>co0S<0c?ko0mdc08Sbo`9EA>j1onKo
08V1ojGo0DBkn?l2IP2ko_l28P2ko?l1R03]o`:I04Clo`;^8XSbo`?^4C?^POn1
oh_o0DBkn?l2IP2ko_l28P2ko?l1R03]o`:I04Clo`;^8XSbo`?^4C?^POn1oh_o
0DBkn?l2IP2ko_l28P2ko?l1R03]o`:I04Clo`;^8XSbo`?^4C?^POoWo`26POnU
o`54^oWo0ZX0A?ko0l`008Sko`0RkOl3E@0Ak_co0IV8lOl2R01gPOn1oh_o0DBk
nOl2ZP14o_l3c000R?_o02;]o`=E017^o?l1VHSao`:807N1oh7oRol1A;_io`:Z
04Cno`?<0028nol08^go0eD04Nklo`6IR?7o0XP0Mh7oiol0WX7oYol5R3<005Fk
o?l3kQ40VOko0;_n0028o?l0Mngo14@003?<oOl1kXSao`?M002kPOn1ohko1HPc
001E^oco0nhA09Wno`2koP00R?co07O]o`A4000cc?go0Nj8lOl3g@00^h7oPOn>
o`F8<`00EK_lo`?^4@2Io_l0^oh008Slo`1gkOl4A000<lcmo`7^R?7o0md00;^1
onSo0<:1olCo06Km00MggED08YWoVOE42YWokS<cc4BZE@2IoOl3R000gOko0>km
004RVNWo07Om005VgNco0R80EH7oPOn[o`1Vo@07MmeE02:IoiWeA0ZIonhc<la4
ZUD0VOgo0hP00=gno`3^o@018YWYo`1go@01I]g/o`8R05F1oh7oZol0I_d01gOM
E@0RVOnImD@:VOo^<c?<A:YE09Wmo`>8003Mo_l0k_d00B:IjOl0Mod00FKMk?l2
8P1EPOoXo`38POo3o`28oP07Z_nk<nkooiWeA0^Iod@0c?m4^olc0:[no`8c003l
o`28o0018YW[o`7^4O`00FKMk_l3A000kX7oPOn[o`28oP07Z_nk<nkooiWeA0^I
od@0c?m4^olc0:[no`8c003lo`28o0018YW[o`7^4O`00FKMk_l3A000kX7oPOn[
o`28oP07Z_nk<nkooiWeA0^Iod@0c?m4^olc0:[no`8c003lo`28o0018YW[o`7^
4O`00FKMk_l3A000kX7ojOl0]X7o`_l68P008_mEgO3o4;/0A?ooA;_o^`0AoooM
0014nol0I_/00DCMk?l1c17l004AR>oo0hP00:Z1oh7oZ_l68P008_mEgO3o4;/0
A?ooA;_o^`0AoooM0014nol0I_/00DCMk?l1c17l004AR>oo0hP00:Z1oh7oZ_l6
8P008_mEgO3o4;/0A?ooA;_o^`0AoooM0014nol0I_/00DCMk?l1c17l004AR>oo
0hP00:Z1onWo0;>1ol;o09Wn004RZ^oo48P0R?ooA;_ooa40^onk0014n_l1VA7l
004Ac>co0MeEn`00I_3o0hP008R1oh7oZ_l0VOh00B:Zkol@R028oom4^ooo4@2k
ok/004Cjo`6I4O`00A7<k?l1gEGk001Vl?l3R000R87oPOnZo`2IoP018Z[_oa28
08SoodBkoolA0;_o^`00A?[o0ITAo0014Lc/o`7MEO/006K`o`>80028POoYo`2o
POo1o`0coP00k_go08Se0168A028oom4^oooA028ohP004Cio`;^R17m0014j_l1
^dCl002klOl3R000A87oPOnYo`0coP00k_go08Se0168A028oom4^oooA028ohP0
04Cio`;^R17m0014j_l1^dCl002klOl3R000A87oPOnYo`0coP00k_go08Se0168
A028oom4^oooA028ohP004Cio`;^R17m0014j_l1^dCl002klOl3R000A87ojOl0
eh7o`Ol0^oh008Smo`2kmHPA^d@0R?ooA;_ood@0R?n80014oOl1c<cmo`7^R?d0
0=g_o`2Io?l1^c?n001VlOl3R000A87oPOnYo`2koP00R?go0;_eR16kA028oom4
^oooA028ohP004Cmo`7<c?go0Nj8o@00gNoo09Wlo`6k<oh006Kao`>80014POn1
ojWo0;_n0028oOl0^oF84K]408SoodBkoom408SoR000A?go0Lc<oOl1kXSm003M
kol0VOco0K/coP00I_7o0hP004B1onWo0?R1ol3o1280017Ml?l@IP1Eoom4^ooo
<`2ZohP004Cmo`6kMo_o0;_n002ko?l4c8R8EHSio`54k_co1>iE0014oOl5gHQg
MfJknol3R000EH7oPOnXo`@R000AgO3o46H0EOooA;_ooc<0Z_n80014oOl1^gOk
o`2koP00^oco1<b8R5F8nOl1A>klo`C^E@00A?go1Mf8MgMV^o_o0hP005F1oh7o
Z?l48P004Mg`oa1V05GoodBkoolc0:[oR000A?go0K]gnol0^oh00;_lo`C<R8QE
R?Wo0DC^o?l4kUD004Cmo`GMR7MgI[_ko`>8001EPOoYo`4FPOo1o`68Moh006K`
oa2Z017oodBkonh00>ko^`00A?go0[/Ak__o0fH00>kno`_^IWO^ojX0R?o^R9Wn
o`54R?_o0md007Ono`F809WoohSm00K^oon80028POn1ojWo0HQgoP00I_3o4:X0
4OooA;_okP00k_nk0014oOl2^a7^nol3IP00k_ko2niVMnkoZP28onj8VOko0DB8
nol3g@00Moko1HP0VOooR?d01^koohP008R1oh7oZOl1R7On001Vl?l@ZP0Aoom4
^oo^003^ok/004Cmo`:k4Nkko`=V003^o_l;kVIgk_nZ08SokXRIo_l1A8Sko`?M
001go_l5R02Ioon8o@06k_ooR000R87ojOl16H7o`_l3c5GoR?h00=g`o`lR09Wo
A;_oV@1Vooo^0014oOl2^`1Vnol2R01Eo_l2kS=Vo_l<V@2IkQ4007Oood@Ac?_o
1`00c?ooZP1VoOl3016kc?ko0gL00:Z1oh7oZ_l3c5GoR?h00=g`o`lR09WoA;_o
V@1Vooo^0014oOl2^`1Vnol2R01Eo_l2kS=Vo_l<V@2IkQ4007Oood@Ac?_o1`00
c?ooZP1VoOl3016kc?ko0gL00:Z1oh7oZ_l3c5GoR?h00=g`o`lR09WoA;_oV@1V
ooo^0014oOl2^`1Vnol2R01Eo_l2kS=Vo_l<V@2IkQ4007Oood@Ac?_o1`00c?oo
ZP1VoOl3016kc?ko0gL00:Z1onWo0B:1ol?o2>hc^oo^4@00A?3o2L`A4La4^l`A
<nkno`8c003mo`Bk001Vk_ko0mdA<nkno`548_ko1>hR<njko@05gOm4016koOl2
M`2Io_l2<`3<oOl1003lo`=4003^POn1oj_o2>hc^oo^4@00A?3o2L`A4La4^l`A
<nkno`8c003mo`Bk001Vk_ko0mdA<nkno`548_ko1>hR<njko@05gOm4016koOl2
M`2Io_l2<`3<oOl1003lo`=4003^POn1oj_o2>hc^oo^4@00A?3o2L`A4La4^l`A
<nkno`8c003mo`Bk001Vk_ko0mdA<nkno`548_ko1>hR<njko@05gOm4016koOl2
M`2Io_l2<`3<oOl1003lo`=4003^POoYo`4XPOo4o`J88P1EgHPAoP01EMgao`O<
A14A<a5gk_go0iT00=gno`Zk<hQV8VJ8IQ5Vk_ko2iT0VOoo^c=4k_o^<oh02k_o
A7N8<c>8R28cZ_go0@00oOl2ZP0co?l28P1VPOn1oj_o1XPR05GMR17n005EgO7o
1la44A4c4GO^oOl3V@00gOko2[/cR6HRIXQV4FK^o_l;V@2Ioonk<dC^onhcoP0;
^om4MhPc<hR88S>ZoOl1003mo`:Z03?lo`8R06J1oh7oZol6R280EMf84Oh00EGM
lOl7c4@A4C<AMnkmo`>I003Mo_l:^c>8IR9VR6HAI^kno`^I09Wook/cA>kokS?n
00^kodAgR3<cR8PR<j[mo`400?go0ZX0<oco0R80IX7oj?l0fX7oY_l2gC>8nOl2
8P2Io_l1k^kno`;<^lcko`Hc0:Z8A5Fko?l5^k/0k_oMo_l3k[^kk__o0S<0k_ko
0T@0^ogo0md00=f1oh7oSOl2gC>8nOl28P2Io_l1k^kno`;<^lcko`Hc0:Z8A5Fk
o?l5^k/0k_oMo_l3k[^kk__o0S<0k_ko0T@0^ogo0md00=f1oh7oSOl2gC>8nOl2
8P2Io_l1k^kno`;<^lcko`Hc0:Z8A5Fko?l5^k/0k_oMo_l3k[^kk__o0S<0k_ko
0T@0^ogo0md00=f1onSo08V1ojGo0DBknOl2ZP14lOl4g@0RR;_ho`68A?7o1l`A
I^k^IQ6Zo?l2R028POn1oh_o0DBknOl2ZP14lOl4g@0RR;_ho`68A?7o1l`AI^k^
IQ6Zo?l2R028POn1oh_o0DBknOl2ZP14lOl4g@0RR;_ho`68A?7o1l`AI^k^IQ6Z
o?l2R028POoWo`1mPOnUo`54^oSo0WL0^o;o0[/0A?Oo0/`Rc?3o1>hcA8RZnol2
kQ4cPOn1oh[o0DBkn?l2M`2kl_l2^`14mol2c2;<l?l4kS=4R:[ko`;^4C>1oh7o
R_l1A;_ho`9g0;_bo`:k04Cgo`;<8/c`o`C^<dB8Z__o0^hA<h7oi_l0RH7oYOl1
A;_go`:84Lcco`?M017^oOl6^iWoojYEc?3o0]dc^oWo0nhcENj1oh7oR_l1A;_g
o`:84Lcco`?M017^oOl6^iWoojYEc?3o0]dc^oWo0nhcENj1oh7oR_l1A;_go`:8
4Lcco`?M017^oOl6^iWoojYEc?3o0]dc^oWo0nhcENj1onKo0821ojGo0DBkm_l2
^eGMlol7A014gOoMIYWno`3Mk_l3E@1g^o[o0EFIPOn1ohSo0DBkm_l2^eGMlol7
A014gOoMIYWno`3Mk_l3E@1g^o[o0EFIPOn1ohSo0DBkm_l2^eGMlol7A014gOoM
IYWno`3Mk_l3E@1g^o[o0EFIPOoTo`1^POnUo`7Mk_Co0>kco`7M<oh00EG<jOl0
R?d01C>8gOookX7oPOn6o`7Mk_Co0>kco`7M<oh00EG<jOl0R?d01C>8gOookX7o
POn6o`7Mk_Co0>kco`7M<oh00EG<jOl0R?d01C>8gOookX7oh_l0Bh7oQOl2c;_^
j?l9R6K^^hQE4@0AZX7oPOn1onCo0/bkk^So2HQVk[^8EA404JZ1oh7oPOoTo`;<
^nkXo`V8I^jkR5DA016ZPOoPo`0ePOn1on[o0GM4nol2R014POn1oh7obOl1MdCk
o`:804B1oh7oPOo9o`5gA?_o0XP0A87oh?l0<X7oPOoZo`40R?[o0DAVPOn1oh7o
bOl108Sjo`54IX7oPOn1olWo0@28n_l1A6J1on3o03R1oh7oj_l2A3?^o?l2ZQ7M
POn1oh7obOl2A3?^o?l2ZQ7MPOn1oh7obOl2A3?^o?l2ZQ7MPOoPo`0kPOn1on[o
2NiV8UF8R6I4R>j1oh7oPOo8o`W^IR9ER8QVA8S^POn1oh7ob?l9kVHREHR8ITB8
kX7ogol0:H7oPOoWo`?<^k_^POn1oh7o`_l3c;^kkX7oPOn1ol;o0lbk^nj1omco
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo
01J1oh7oPOn1oh7oPOn1oh7oPOn1okSo0?l\>"], "Graphics",
 ImageSize->{198, 191.812},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}}],

Cell[TextData[{
 "We can interpret the causal structure in terms of conditional probability.\n\
The top panel shows one possible generative graph structure for an  ideal \
observer problem in classical signal detection theory (SDT).  The data are \
determined by the signal hypotheses plus (additive gaussian) noise.  \
Knowledge is represented by the joint probability p(x,H,n)=p(x|H,n)p(H)p(n).  \
The lower panel shows a simplified example of the generative structure for \
perceptual inference from a pattern inference theory perspective.  The image \
measurements (x) are determined by a typically non-linear function (\\phi) of \
primary signal variables (S_e) and confounding secondary variables (S_g).  \
Knowledge is represented by the joint probability p(x,S_e,S_g).  Both scene \
and image variables can be high  dimensional vectors. In general, the causal \
structure of natural image patterns is more complex and consequently requires \
elaboration of its graphical representation. For SDT and pattern inference \
theory, the task is to make a decision about the signal hypotheses or primary \
signal variables, while discounting the noise or secondary variables.  Thus \
optimal perceptual decisions are determined by p(x,S_e), which is derived by \
summing over the secondary variables (i.e. marginalizing with respect to the \
secondary variables): ",
 Cell[BoxData[
  FormBox[
   RowBox[{
    SubscriptBox["\[Integral]", "S_g"], 
    RowBox[{
     RowBox[{"p", "(", 
      RowBox[{"x", ",", "S_e", ",", "S_g"}], ")"}], 
     RowBox[{"\[DifferentialD]", "S_g"}]}]}], TraditionalForm]]],
 "."
}], "Text"],

Cell["\<\
Influences between variables are represented by conditioning, and a graphical \
model expresses the conditional independencies between variables.  Two random \
variables may only become independent, however, once the value of some third \
variable is known.  This is called conditional independence.Recall from above \
that two random variables are independent if and only if their joint \
probability is equal to the product of their individual probabilities.  Thus, \
if p(A,B) = p(A)p(B), then A and B are independent.  If p(A,B|C) = \
p(A|C)p(B|C), then A and B are conditionally independent.  When corn prices \
drop in the summer, hay fever incidence goes up.  However, if the joint on \
corn price and hay fever is conditioned on ``ideal weather for corn and \
ragweed'', the correlation between corn prices and hay fever drops.  This is \
because Corn price and hay fever symptoms are conditionally independent. 
There is a correlation between eating ice cream and drowning. Why? What event \
should you condition on to make the dependence go away?\
\>", "Text"]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
What is noise? Primary and secondary variables in SDT and in pattern \
inference theory\
\>", "Subsubsection"],

Cell["\<\
Noise is whatever you don't care to estimate, but contributes to the data.\
\>", "Text"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
 "Optimal Inference and task dependence: Fruit example",
 StyleBox[" ",
  FontSize->12,
  FontWeight->"Plain"]
}], "Section"],

Cell[TextData[StyleBox["(due to James Coughlan; see Yuille, Coughlan, Kersten \
& Schrater).",
 FontSize->12,
 FontWeight->"Plain"]], "Text"],

Cell[GraphicsData["CompressedBitmap", "\<\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\
\>"], "Graphics",
 Evaluatable->False,
 ImageSize->{288, 123},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}}],

Cell["Figure from Yuille, Coughlan, Kersten & Schrater.", "Text"],

Cell["\<\
The graph specifies how to decompose the joint probability:
 p[F, C, Is, Ic ] = p[ Ic | C ] p[C | F ] p[Is | F ] p[F ]\
\>", "Text"],

Cell[CellGroupData[{

Cell["Generative model: The prior model on hypotheses, F & C", "Subsection"],

Cell["More apples (F=1) than tomatoes (F=2), and:", "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"ppF", "[", "F_", "]"}], ":=", 
   RowBox[{"If", "[", 
    RowBox[{
     RowBox[{"F", "\[Equal]", "1"}], ",", 
     RowBox[{"9", "/", "16"}], ",", 
     RowBox[{"7", "/", "16"}]}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"ppF", "[", "F", "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"F", ",", "1", ",", "2"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{"{", 
      RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}], "}"}]}]}], 
  "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       FractionBox["9", "16"]},
      {
       TagBox["\<\"F=t\"\>",
        HoldForm], 
       FractionBox["7", "16"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, {True}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {{False}}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.5599999999999999]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    OutputFormsDump`HeadedColumn],
   Function[BoxForm`e$, 
    TableForm[BoxForm`e$, TableHeadings -> {{"F=a", "F=t"}}]]], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "The conditional  probability",
 StyleBox[" cpCF[C|F]",
  FontWeight->"Bold"],
 ":"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"cpCF", "[", 
    RowBox[{"F_", ",", "C_"}], "]"}], ":=", 
   RowBox[{"Which", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"F", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"5", "/", "9"}], ",", 
     RowBox[{
      RowBox[{"F", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"4", "/", "9"}], ",", 
     RowBox[{
      RowBox[{"F", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"6", "/", "7"}], ",", 
     RowBox[{
      RowBox[{"F", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"1", "/", "7"}]}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"cpCF", "[", 
      RowBox[{"F", ",", "C"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"C", ",", "1", ",", "2"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"F", ",", "1", ",", "2"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<C=r\>\"", ",", "\"\<C=g\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}]}], "}"}]}]}], 
  "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       TagBox["\<\"F=t\"\>",
        HoldForm]},
      {
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       FractionBox["5", "9"], 
       FractionBox["6", "7"]},
      {
       TagBox["\<\"C=g\"\>",
        HoldForm], 
       FractionBox["4", "9"], 
       FractionBox["1", "7"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"C=r", "C=g"}, {"F=a", "F=t"}}]]], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell["So the joint is:", "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"jpFC", "[", 
    RowBox[{"F_", ",", "C_"}], "]"}], ":=", 
   RowBox[{
    RowBox[{"cpCF", "[", 
     RowBox[{"F", ",", "C"}], "]"}], " ", 
    RowBox[{"ppF", "[", "F", "]"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"jpFC", "[", 
      RowBox[{"F", ",", "C"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"F", ",", "1", ",", "2"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"C", ",", "1", ",", "2"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<C=r\>\"", ",", "\"\<C=g\>\""}], "}"}]}], "}"}]}]}], 
  "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       TagBox["\<\"C=g\"\>",
        HoldForm]},
      {
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       FractionBox["5", "16"], 
       FractionBox["1", "4"]},
      {
       TagBox["\<\"F=t\"\>",
        HoldForm], 
       FractionBox["3", "8"], 
       FractionBox["1", "16"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"F=a", "F=t"}, {"C=r", "C=g"}}]]], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell["\<\
We can marginalize to get the prior probability on color alone is:\
\>", "Text"],

Cell[BoxData[
 RowBox[{
  RowBox[{"ppC", "[", "C_", "]"}], ":=", 
  RowBox[{
   UnderoverscriptBox["\[Sum]", 
    RowBox[{"F", "=", "1"}], "2"], 
   RowBox[{"jpFC", "[", 
    RowBox[{"F", ",", "C"}], "]"}]}]}]], "Input"],

Cell[TextData[{
 StyleBox["Question: ",
  FontWeight->"Bold"],
 "Is fruit identity independent of material color--i.e. is F independent of \
C? Check whether the joint probability on Fruit and Color can be factored \
into the product of the prior probabilities on Fruit and Color."
}], "Text"],

Cell[CellGroupData[{

Cell["Answer", "Subsubsection"],

Cell["No.", "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"jpFC", "[", 
      RowBox[{"F", ",", "C"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"F", ",", "1", ",", "2"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"C", ",", "1", ",", "2"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<C=r\>\"", ",", "\"\<C=g\>\""}], "}"}]}], "}"}]}]}], 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"ppF", "[", "F", "]"}], " ", 
      RowBox[{"ppC", "[", "C", "]"}]}], ",", 
     RowBox[{"{", 
      RowBox[{"F", ",", "1", ",", "2"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"C", ",", "1", ",", "2"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<C=r\>\"", ",", "\"\<C=g\>\""}], "}"}]}], "}"}]}]}], 
  "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       TagBox["\<\"C=g\"\>",
        HoldForm]},
      {
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       FractionBox["5", "16"], 
       FractionBox["1", "4"]},
      {
       TagBox["\<\"F=t\"\>",
        HoldForm], 
       FractionBox["3", "8"], 
       FractionBox["1", "16"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"F=a", "F=t"}, {"C=r", "C=g"}}]]], 
  TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       TagBox["\<\"C=g\"\>",
        HoldForm]},
      {
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       FractionBox["99", "256"], 
       FractionBox["45", "256"]},
      {
       TagBox["\<\"F=t\"\>",
        HoldForm], 
       FractionBox["77", "256"], 
       FractionBox["35", "256"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"F=a", "F=t"}, {"C=r", "C=g"}}]]], 
  TraditionalForm]], "Output"]
}, Closed]]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Generative model: The likelihood model--probabilities of measurements, i.e. \
some features given hypotheses\
\>", "Subsection"],

Cell["\<\
Suppose that we have gathered some \"image statistics\" which provides us \
knowledge of how the image measurements for shape Is, and for color Ic depend \
on the type of fruit F, and material color, C. For simplicity, our \
measurements are discrete and binary (a more realistic case, they would have \
continuous values), say Is = {am, tm}, and Ic = {rm, gm}.\
\>", "Text"],

Cell["\<\
P(I_S= am, tm | F=a) = {11/16, 5/16}
P(I_S= am, tm | F=t) = {5/8, 3/8}
P(I_C= rm, gm | C=r) = {9/16, 7/16}
P(I_C= rm, gm | C=g) = {1/2, 1/2}
We use the notation am, tm, rm, gm because the measurements are already \
suggestive of the likely cause. So there is a correlation between apple and \
apple-like shapes, am; and between red material, and \"red\" measurements. In \
general, there may not be an obvious correlation like this.\
\>", "Text"],

Cell[TextData[{
 "We define a function for the  probability of Ic given C,  ",
 StyleBox["cpIcC[Ic | C]",
  FontWeight->"Bold"],
 ":"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{
    StyleBox["cpIcC",
     FontWeight->"Bold"], "[", 
    RowBox[{"Ic_", ",", "C_"}], "]"}], ":=", 
   RowBox[{"Which", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"Ic", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"9", "/", "16"}], ",", 
     RowBox[{
      RowBox[{"Ic", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"7", "/", "16"}], ",", 
     RowBox[{
      RowBox[{"Ic", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"1", "/", "2"}], ",", 
     RowBox[{
      RowBox[{"Ic", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"C", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"1", "/", "2"}]}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      StyleBox["cpIcC",
       FontWeight->"Bold"], "[", 
      RowBox[{"Ic", ",", "C"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"C", ",", "1", ",", "2"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"Ic", ",", "1", ",", "2"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<Ic=rm\>\"", ",", "\"\<Ic=gm\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<C=r\>\"", ",", " ", "\"\<C=g\>\""}], "}"}]}], "}"}]}]}], 
  "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       TagBox["\<\"C=g\"\>",
        HoldForm]},
      {
       TagBox["\<\"Ic=rm\"\>",
        HoldForm], 
       FractionBox["9", "16"], 
       FractionBox["1", "2"]},
      {
       TagBox["\<\"Ic=gm\"\>",
        HoldForm], 
       FractionBox["7", "16"], 
       FractionBox["1", "2"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"Ic=rm", "Ic=gm"}, {"C=r", "C=g"}}]]], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "The  probability of Is conditional on F is ",
 StyleBox["cpIsF[Is | F]",
  FontWeight->"Bold"],
 ":"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"cpIsF", "[", 
    RowBox[{"Is_", ",", "F_"}], "]"}], ":=", 
   RowBox[{"Which", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"Is", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"F", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"11", "/", "16"}], ",", 
     RowBox[{
      RowBox[{"Is", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"F", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"5", "/", "8"}], ",", 
     RowBox[{
      RowBox[{"Is", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"F", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"5", "/", "16"}], ",", 
     RowBox[{
      RowBox[{"Is", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"F", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"3", "/", "8"}]}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{
      StyleBox["cpIsF",
       FontWeight->"Bold"], "[", 
      RowBox[{"Is", ",", "F"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"Is", ",", "1", ",", "2"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"F", ",", "1", ",", "2"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<Is=am\>\"", ",", "\"\<Is=tm\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}]}], "}"}]}]}], 
  "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       TagBox["\<\"F=t\"\>",
        HoldForm]},
      {
       TagBox["\<\"Is=am\"\>",
        HoldForm], 
       FractionBox["11", "16"], 
       FractionBox["5", "8"]},
      {
       TagBox["\<\"Is=tm\"\>",
        HoldForm], 
       FractionBox["5", "16"], 
       FractionBox["3", "8"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"Is=am", "Is=tm"}, {"F=a", "F=t"}}]]], 
  TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["The total joint probability", "Subsection"],

Cell[TextData[{
 "We now have enough information to put probabilities on the 2x2x2 \"universe\
\" of possibilities, i.e. all possible combinations of fruit, color, and \
image measurements. Looking at the graphical model makes it easy to use the \
product rule to construct the total joint, which is:\n ",
 StyleBox["p[F, C, Is, Ic ] = p[ Ic | C ] p[C | F ] p[Is | F ] p[F ]",
  FontWeight->"Bold"],
 ":"
}], "Text"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   StyleBox[
    RowBox[{"j", 
     StyleBox["p",
      FontWeight->"Bold"], "FCIsIc"}]], 
   StyleBox["[",
    FontWeight->"Bold"], 
   RowBox[{
    StyleBox["F_",
     FontWeight->"Bold"], 
    StyleBox[",",
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["C_",
     FontWeight->"Bold"], 
    StyleBox[",",
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["Is_",
     FontWeight->"Bold"], 
    StyleBox[",",
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox[
     RowBox[{
      StyleBox["Ic",
       FontWeight->"Bold"], "_"}]]}], 
   StyleBox[" ",
    FontWeight->"Bold"], 
   StyleBox["]",
    FontWeight->"Bold"]}], 
  StyleBox[" ",
   FontWeight->"Bold"], 
  StyleBox[":=",
   FontWeight->"Bold"], 
  StyleBox[" ",
   FontWeight->"Bold"], 
  RowBox[{
   RowBox[{
    StyleBox[
     RowBox[{"c", 
      StyleBox["pIcC",
       FontWeight->"Bold"]}]], 
    StyleBox["[",
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox[
     RowBox[{"Ic", ",", " ", "C"}],
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["]",
     FontWeight->"Bold"]}], 
   StyleBox[" ",
    FontWeight->"Bold"], 
   RowBox[{
    StyleBox[
     RowBox[{"c", 
      StyleBox["pCF",
       FontWeight->"Bold"]}]], 
    StyleBox["[",
     FontWeight->"Bold"], 
    StyleBox[
     RowBox[{"F", ",", "C"}],
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["]",
     FontWeight->"Bold"]}], 
   StyleBox[" ",
    FontWeight->"Bold"], 
   RowBox[{
    StyleBox[
     RowBox[{"c", 
      StyleBox["pIsF",
       FontWeight->"Bold"]}]], 
    StyleBox["[",
     FontWeight->"Bold"], 
    StyleBox[
     RowBox[{"Is", ",", "F"}],
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["]",
     FontWeight->"Bold"]}], 
   StyleBox[" ",
    FontWeight->"Bold"], 
   RowBox[{
    StyleBox[
     RowBox[{"p", 
      StyleBox["pF",
       FontWeight->"Bold"]}]], 
    StyleBox["[",
     FontWeight->"Bold"], 
    StyleBox["F",
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["]",
     FontWeight->"Bold"]}]}]}]], "Input"],

Cell[TextData[{
 "Usually, we don't need the probabilities of the image measurements (because \
once the measurements are made, they are fixed and we want to compare the \
probabilities of the hypotheses. But in our simple case here, once we have \
the joint, we can calculate the probabilities of the image measurements \
through marginalization p(Is,Ic)=",
 Cell[BoxData[
  FormBox[
   RowBox[{
    UnderscriptBox["\[Sum]", "C"], 
    RowBox[{
     UnderscriptBox["\[Sum]", "F"], 
     RowBox[{"p", "(", 
      RowBox[{"F", ",", "C", ",", "Is", ",", "Ic"}], ")"}]}]}], 
   TraditionalForm]]],
 ", too:"
}], "Text"],

Cell[BoxData[
 RowBox[{
  RowBox[{"jpIsIc", "[", 
   RowBox[{"Is_", ",", "Ic_"}], "]"}], ":=", 
  RowBox[{
   UnderoverscriptBox["\[Sum]", 
    RowBox[{"C", "=", "1"}], "2"], 
   RowBox[{
    UnderoverscriptBox["\[Sum]", 
     RowBox[{"F", "=", "1"}], "2"], 
    RowBox[{
     StyleBox[
      RowBox[{"j", 
       StyleBox["p",
        FontWeight->"Bold"], "FCIsIc"}]], 
     StyleBox["[",
      FontWeight->"Bold"], 
     StyleBox[
      RowBox[{"F", ",", " ", "C", ",", " ", "Is", ",", " ", "Ic"}],
      FontWeight->"Bold"], 
     StyleBox[" ",
      FontWeight->"Bold"], 
     StyleBox["]",
      FontWeight->"Bold"]}]}]}]}]], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Three MAP tasks", "Subsection"],

Cell["\<\
We are going to show that the best guess (i.e. maximum probability) depends \
on the task. \
\>", "Text"],

Cell[CellGroupData[{

Cell["Define argmax[] function:", "Subsubsection"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"argmax", "[", "x_", "]"}], ":=", 
   RowBox[{"Position", "[", 
    RowBox[{"x", ",", 
     RowBox[{"Max", "[", "x", "]"}]}], "]"}]}], ";"}]], "Input"]
}, Closed]],

Cell[CellGroupData[{

Cell["Pick most probable fruit AND color--Answer \"red tomato\"", \
"Subsubsection"],

Cell[TextData[{
 "First, suppose the task is to make the best bet as to the fruit AND \
material color. To make it concrete, suppose that we see an \"apple-ish shape\
\" with a reddish color, i.e., we measure Is=am=1, and Ic = rm=1. The \
measurements suggest \"red apple\", but to find the most probable, we need to \
take into account the priors too in order to make the best guesses. ",
 StyleBox["p(F,C | Is, Ic)",
  FontWeight->"Bold"],
 " is given by:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"FCcIsIc", "[", 
   RowBox[{"F_", ",", "C_", ",", "Is_", ",", "Ic_"}], "]"}], ":=", 
  RowBox[{
   RowBox[{
    StyleBox[
     RowBox[{"j", 
      StyleBox["p",
       FontWeight->"Bold"], "FCIsIc"}]], 
    StyleBox["[",
     FontWeight->"Bold"], 
    StyleBox[
     RowBox[{"F", ",", " ", "C", ",", " ", "Is", ",", " ", "Ic"}],
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["]",
     FontWeight->"Bold"]}], 
   StyleBox["/",
    FontWeight->"Bold"], 
   RowBox[{"jpIsIc", "[", 
    RowBox[{"Is", ",", "Ic"}], "]"}]}]}]], "Input",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"FCcIsIcTable", "=", 
    RowBox[{"Table", "[", 
     RowBox[{
      RowBox[{"FCcIsIc", 
       StyleBox["[",
        FontWeight->"Bold"], 
       StyleBox[
        RowBox[{"F", ",", " ", "C", ",", " ", "1", ",", " ", "1"}],
        FontWeight->"Bold"], 
       StyleBox[" ",
        FontWeight->"Bold"], 
       StyleBox["]",
        FontWeight->"Bold"]}], ",", 
      RowBox[{"{", 
       RowBox[{"F", ",", "1", ",", "2"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"C", ",", "1", ",", "2"}], "}"}]}], "]"}]}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<C=r\>\"", ",", "\"\<C=g\>\""}], "}"}]}], "}"}]}]}], 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"Max", "[", "FCcIsIcTable", "]"}], "\[IndentingNewLine]", 
 RowBox[{"argmax", "[", "FCcIsIcTable", "]"}]}], "Input",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       TagBox["\<\"C=g\"\>",
        HoldForm]},
      {
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       FractionBox["55", "157"], 
       FractionBox["308", "1413"]},
      {
       TagBox["\<\"F=t\"\>",
        HoldForm], 
       FractionBox["60", "157"], 
       FractionBox["70", "1413"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"F=a", "F=t"}, {"C=r", "C=g"}}]]], 
  TraditionalForm]], "Output",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],

Cell[BoxData[
 FormBox[
  FractionBox["60", "157"], TraditionalForm]], "Output",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {"2", "1"}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}]
}, Closed]],

Cell[BoxData[""], "Input",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}]
}, Closed]],

Cell[TextData[{
 StyleBox["Note that we don't have to calculate the conditional. We can use \
the fact that p(F,C | Is, Ic)",
  FontWeight->"Bold"],
 " = ",
 Cell[BoxData[
  FormBox[
   FractionBox[
    RowBox[{"p", "(", 
     RowBox[{"F", ",", "C", ",", "Is", ",", "Ic"}], ")"}], 
    RowBox[{"p", "(", 
     RowBox[{"Is", ",", "Ic"}], ")"}]], TraditionalForm]]],
 "\[Proportional] p(F, C , Is=1, Ic=1). I.e. the conditional is proportional \
to the function specified by the joint evaluated at Is=1, and Ic=1."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{
    StyleBox[
     RowBox[{"j", 
      StyleBox["p",
       FontWeight->"Bold"], "FCIsIcTable"}]], "=", 
    RowBox[{"Table", "[", 
     RowBox[{
      RowBox[{
       StyleBox[
        RowBox[{"j", 
         StyleBox["p",
          FontWeight->"Bold"], "FCIsIc"}]], 
       StyleBox["[",
        FontWeight->"Bold"], 
       StyleBox[
        RowBox[{"F", ",", " ", "C", ",", " ", "1", ",", " ", "1"}],
        FontWeight->"Bold"], 
       StyleBox[" ",
        FontWeight->"Bold"], 
       StyleBox["]",
        FontWeight->"Bold"]}], ",", 
      RowBox[{"{", 
       RowBox[{"F", ",", "1", ",", "2"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"C", ",", "1", ",", "2"}], "}"}]}], "]"}]}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<F=a\>\"", ",", " ", "\"\<F=t\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<C=r\>\"", ",", "\"\<C=g\>\""}], "}"}]}], "}"}]}]}], 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"Max", "[", 
  StyleBox[
   RowBox[{"j", 
    StyleBox["p",
     FontWeight->"Bold"], "FCIsIcTable"}]], "]"}], "\[IndentingNewLine]", 
 RowBox[{"argmax", "[", 
  StyleBox[
   RowBox[{"j", 
    StyleBox["p",
     FontWeight->"Bold"], "FCIsIcTable"}]], "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       TagBox["\<\"C=g\"\>",
        HoldForm]},
      {
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       FractionBox["495", "4096"], 
       FractionBox["77", "1024"]},
      {
       TagBox["\<\"F=t\"\>",
        HoldForm], 
       FractionBox["135", "1024"], 
       FractionBox["35", "2048"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"F=a", "F=t"}, {"C=r", "C=g"}}]]], 
  TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  FractionBox["135", "1024"], TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {"2", "1"}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
 "Question: Is ",
 StyleBox["p(F, C, Is=1, Ic=1) ",
  FontWeight->"Bold"],
 "a joint probability on F and C? (Answer: No.)"
}], "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"Total", "[", 
  RowBox[{"jpFCcIsIcTable", ",", "2"}], "]"}], "\[IndentingNewLine]", 
 RowBox[{"Total", "[", 
  RowBox[{
   StyleBox[
    RowBox[{"j", 
     StyleBox["p",
      FontWeight->"Bold"], "FCIsIcTable"}]], ",", "2"}], "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"Total", "::", "\<\"normal\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Nonatomic expression expected at position \
\\!\\(TraditionalForm\\`1\\) in \
\\!\\(TraditionalForm\\`\\(Total[\\(\\(jpFCcIsIcTable, 2\\)\\)]\\)\\). \\!\\(\
\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \
ButtonFrame->None, ButtonData:>\\\"paclet:ref/message/General/normal\\\", \
ButtonNote -> \\\"Total::normal\\\"]\\)\"\>"}], TraditionalForm]], "Message", \
"MSG"],

Cell[BoxData[
 FormBox[
  RowBox[{"Total", "[", 
   RowBox[{"jpFCcIsIcTable", ",", "2"}], "]"}], TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  FractionBox["1413", "4096"], TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[TextData[StyleBox["In either case, we conclude that \"Red tomato\" is \
the most probable once we take into account the difference in priors.",
 FontWeight->"Bold",
 FontSlant->"Italic"]], "Text"]
}, Closed]],

Cell[CellGroupData[{

Cell["Pick most probable color--Answer \"red\"", "Subsubsection"],

Cell["\<\
Same measurements as before. But now suppose we only care about the true \
material color, and not the identity of the object. Then we want to integrate \
out or marginalize with respect to the shape or fruit-type variable, F. In \
this case, we want to maximize the posterior:\
\>", "Text"],

Cell[TextData[{
 "p(C | Is=1, Ic=1)=",
 Cell[BoxData[
  FormBox[
   RowBox[{
    UnderoverscriptBox["\[Sum]", 
     RowBox[{"F", "=", "1"}], "2"], 
    RowBox[{"p", "(", 
     RowBox[{"F", ",", 
      RowBox[{
       RowBox[{"C", "|", "Is"}], "=", "1"}], ",", 
      RowBox[{"Ic", "=", "1"}]}], ")"}]}], TraditionalForm]]]
}], "Text"],

Cell[BoxData[
 RowBox[{
  RowBox[{"pC", "[", 
   RowBox[{"C_", ",", "Is_", ",", "Ic_"}], "]"}], ":=", 
  RowBox[{
   UnderoverscriptBox["\[Sum]", 
    RowBox[{"F", "=", "1"}], "2"], 
   RowBox[{"jpFCcIsIc", 
    StyleBox["[",
     FontWeight->"Bold"], 
    StyleBox[
     RowBox[{"F", ",", " ", "C", ",", " ", "Is", ",", " ", "Ic"}],
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["]",
     FontWeight->"Bold"]}]}]}]], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"pCTable", "=", 
    RowBox[{"Table", "[", 
     RowBox[{
      RowBox[{"pC", 
       StyleBox["[",
        FontWeight->"Bold"], 
       StyleBox[
        RowBox[{"C", ",", " ", "1", ",", " ", "1"}],
        FontWeight->"Bold"], 
       StyleBox[" ",
        FontWeight->"Bold"], 
       StyleBox["]",
        FontWeight->"Bold"]}], ",", 
      RowBox[{"{", 
       RowBox[{"C", ",", "1", ",", "2"}], "}"}]}], "]"}]}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{"{", 
      RowBox[{"\"\<C=r\>\"", ",", "\"\<C=g\>\""}], "}"}], "}"}]}]}], 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"Max", "[", "pCTable", "]"}], "\[IndentingNewLine]", 
 RowBox[{"argmax", "[", "pCTable", "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       TagBox["\<\"C=r\"\>",
        HoldForm], 
       RowBox[{
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"1", ",", "1", ",", "1", ",", "1"}], ")"}], "+", 
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"2", ",", "1", ",", "1", ",", "1"}], ")"}]}]},
      {
       TagBox["\<\"C=g\"\>",
        HoldForm], 
       RowBox[{
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"1", ",", "2", ",", "1", ",", "1"}], ")"}], "+", 
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"2", ",", "2", ",", "1", ",", "1"}], ")"}]}]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, {True}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {{False}}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.5599999999999999]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    OutputFormsDump`HeadedColumn],
   Function[BoxForm`e$, 
    TableForm[BoxForm`e$, TableHeadings -> {{"C=r", "C=g"}}]]], 
  TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{"max", "(", 
   RowBox[{
    RowBox[{
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"1", ",", "1", ",", "1", ",", "1"}], ")"}], "+", 
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"2", ",", "1", ",", "1", ",", "1"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"1", ",", "2", ",", "1", ",", "1"}], ")"}], "+", 
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"2", ",", "2", ",", "1", ",", "1"}], ")"}]}]}], ")"}], 
  TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", "}"}], TraditionalForm]], "Output"]
}, Closed]],

Cell["\<\
Answer is that the most probable material color is C = r, \"red\".\
\>", "Text"]
}, Closed]],

Cell[CellGroupData[{

Cell["Pick most probable fruit--Answer \"apple\"", "Subsubsection"],

Cell["\<\
Same measurements as before. But now, we don't care about the material color, \
just the identity of the fruit. Then we want to integrate out or marginalize \
with respect to the material variable, C. In this case, we want to maximize \
the posterior:\
\>", "Text"],

Cell["p(F | Is, Ic)", "Text"],

Cell[BoxData[
 RowBox[{
  RowBox[{"pF", "[", 
   RowBox[{"F_", ",", "Is_", ",", "Ic_"}], "]"}], ":=", 
  RowBox[{
   UnderoverscriptBox["\[Sum]", 
    RowBox[{"C", "=", "1"}], "2"], 
   RowBox[{"jpFCcIsIc", 
    StyleBox["[",
     FontWeight->"Bold"], 
    StyleBox[
     RowBox[{"F", ",", " ", "C", ",", " ", "Is", ",", " ", "Ic"}],
     FontWeight->"Bold"], 
    StyleBox[" ",
     FontWeight->"Bold"], 
    StyleBox["]",
     FontWeight->"Bold"]}]}]}]], "Input"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"pFTable", "=", 
    RowBox[{"Table", "[", 
     RowBox[{
      RowBox[{"pF", 
       StyleBox["[",
        FontWeight->"Bold"], 
       StyleBox[
        RowBox[{"F", ",", " ", "1", ",", " ", "1"}],
        FontWeight->"Bold"], 
       StyleBox[" ",
        FontWeight->"Bold"], 
       StyleBox["]",
        FontWeight->"Bold"]}], ",", 
      RowBox[{"{", 
       RowBox[{"F", ",", "1", ",", "2"}], "}"}]}], "]"}]}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{"{", 
      RowBox[{"\"\<F=a\>\"", ",", "\"\<F=t\>\""}], "}"}], "}"}]}]}], 
  "]"}], "\[IndentingNewLine]", 
 RowBox[{"Max", "[", "pFTable", "]"}], "\[IndentingNewLine]", 
 RowBox[{"argmax", "[", "pFTable", "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       TagBox["\<\"F=a\"\>",
        HoldForm], 
       RowBox[{
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"1", ",", "1", ",", "1", ",", "1"}], ")"}], "+", 
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"1", ",", "2", ",", "1", ",", "1"}], ")"}]}]},
      {
       TagBox["\<\"F=t\"\>",
        HoldForm], 
       RowBox[{
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"2", ",", "1", ",", "1", ",", "1"}], ")"}], "+", 
        RowBox[{"jpFCcIsIc", "(", 
         RowBox[{"2", ",", "2", ",", "1", ",", "1"}], ")"}]}]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, {True}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {{False}}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.5599999999999999]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    OutputFormsDump`HeadedColumn],
   Function[BoxForm`e$, 
    TableForm[BoxForm`e$, TableHeadings -> {{"F=a", "F=t"}}]]], 
  TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{"max", "(", 
   RowBox[{
    RowBox[{
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"1", ",", "1", ",", "1", ",", "1"}], ")"}], "+", 
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"1", ",", "2", ",", "1", ",", "1"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"2", ",", "1", ",", "1", ",", "1"}], ")"}], "+", 
     RowBox[{"jpFCcIsIc", "(", 
      RowBox[{"2", ",", "2", ",", "1", ",", "1"}], ")"}]}]}], ")"}], 
  TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", "}"}], TraditionalForm]], "Output"]
}, Closed]],

Cell["\<\
The answer is \"apple\". So to sum up, for the same data measurements, the \
most probable fruit AND color is \"red tomato\", but the most probable fruit \
is \"apple\"!\
\>", "Text"]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
 "Important \"take-home message\": ",
 StyleBox["Optimal inference depends on the precise definition of the task",
  FontSlant->"Italic"]
}], "Subsubsection"],

Cell["\<\
Try expressing the consequences using the frequency interpretation of \
probability.\
\>", "Text"]
}, Closed]]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Bayesian learning of univariate Gaussian mean: MAP", "Section"],

Cell[TextData[{
 "From a statistical point of view, one form of learning is \"density \
estimation\" from histogram measurements. In high dimensions this is hard, \
but is easier if we have a low-dimensional parametric model for the \
density--i.e. the density is modeled in terms of a few parameters. So for \
example, the 1D Gaussian could be approximated by a  huge list of \
numbers--one for each bin, each number is an estimate of the probability of \
the value of the random variable falling in that bin. But because it is \
Gaussian, we can be more efficient by representing the density in terms of \
just two numbers (mean and variance), and a formula.\nIn this context, \
learning becomes ",
 StyleBox["parameter estimation",
  FontSlant->"Italic"],
 "."
}], "Text"],

Cell["\<\
A Bayesian learning example: Suppose we know the data comes from a Gaussian \
generative process, but we don't know the mean?\
\>", "Subsubsection"],

Cell[TextData[{
 "Suppose we have a set of samples that come from a Gaussian distribution \
with known variance ",
 Cell[BoxData[
  FormBox[
   SuperscriptBox["\[Sigma]", "2"], TraditionalForm]]],
 ", but unknown mean \[Mu]."
}], "Text"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["x", "i"], "=", "noise"}], ",", " ", 
  RowBox[{"where", " ", 
   RowBox[{"noise", "~", 
    RowBox[{"N", "[", 
     RowBox[{"\[Mu]", ",", "\[Sigma]"}], "]"}]}]}], ",", " ", 
  RowBox[{"or", " ", "equivalently"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["x", "i"], "=", 
   RowBox[{"\[Mu]", "+", "noise"}]}], ",", " ", 
  RowBox[{"where", " ", 
   RowBox[{"noise", "~", 
    RowBox[{"N", "[", 
     RowBox[{"0", ",", "\[Sigma]"}], "]"}]}]}]}]}], "NumberedEquation"],

Cell[BoxData[
 RowBox[{
  RowBox[{"ndist0", "=", 
   RowBox[{"NormalDistribution", "[", 
    RowBox[{"\[Mu]", ",", "\[Sigma]"}], "]"}]}], ";"}]], "Input"],

Cell["\<\
Although we don't know the mean, we can assume a Gaussian prior on the mean:\
\>", "Text"],

Cell[BoxData[
 RowBox[{"\[Mu]", "~", 
  RowBox[{"N", "[", 
   RowBox[{"\[Mu]0", ",", "\[Sigma]0"}], "]"}]}]], "NumberedEquation"],

Cell[TextData[{
 "I.e. we make an initial guess of the mean's mean (\[Mu]0) and standard \
deviation (",
 Cell[BoxData[
  FormBox["\[Sigma]0", TraditionalForm]]],
 "). But we are willing to change our estimate of the mean given new \
data--i.e. given the posterior. If we are really uncertain at the beginning,, \
we can start of with a large standard deviation, and as we gather data, the \
uncertainty about the value of the mean will decrease."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"ndist\[Mu]", "=", 
   RowBox[{"NormalDistribution", "[", 
    RowBox[{"\[Mu]0", ",", 
     SubscriptBox["\[Sigma]", "0"]}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"PDF", "[", 
  RowBox[{"ndist\[Mu]", ",", "\[Mu]"}], "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  FractionBox[
   SuperscriptBox["\[ExponentialE]", 
    RowBox[{"-", 
     FractionBox[
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{"\[Mu]", "-", "\[Mu]0"}], ")"}], "2"], 
      RowBox[{"2", " ", 
       SubsuperscriptBox["\[Sigma]", "0", "2"]}]]}]], 
   RowBox[{
    SqrtBox[
     RowBox[{"2", " ", "\[Pi]"}]], " ", 
    SubscriptBox["\[Sigma]", "0"]}]], TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "Suppose the generative model N[",
 Cell[BoxData[
  RowBox[{"\[Mu]", ",", "\[Sigma]"}]]],
 "] produces three i.i.d. (independent, identically distributed) samples ",
 Cell[BoxData[
  FormBox[
   RowBox[{
    SubscriptBox["x", "1"], ","}], TraditionalForm]]],
 Cell[BoxData[
  FormBox[
   RowBox[{
    SubscriptBox["x", "2"], ","}], TraditionalForm]]],
 Cell[BoxData[
  FormBox[
   RowBox[{
    SubscriptBox["x", "3"], "."}], TraditionalForm]]],
 "What is the MAP estimate of ",
 Cell[BoxData["\[Mu]"]],
 "? Which value of  ",
 Cell[BoxData["\[Mu]"]],
 " makes the posterior biggest? We use Bayes rule:"
}], "Text"],

Cell[BoxData[
 RowBox[{
  RowBox[{"p", 
   RowBox[{"(", 
    RowBox[{
     RowBox[{"\[Mu]", "|", 
      SubscriptBox["x", "1"]}], ",", 
     SubscriptBox["x", "2"], ",", 
     SubscriptBox["x", "3"]}], ")"}]}], "=", 
  FractionBox[
   RowBox[{"p", 
    RowBox[{"(", 
     RowBox[{
      SubscriptBox["x", "1"], ",", 
      SubscriptBox["x", "2"], ",", 
      RowBox[{
       SubscriptBox["x", "3"], "|", "\[Mu]"}]}], ")"}], "p", 
    RowBox[{"(", "\[Mu]", ")"}]}], 
   RowBox[{"p", 
    RowBox[{"(", 
     RowBox[{
      SubscriptBox["x", "1"], ",", 
      SubscriptBox["x", "2"], ",", 
      SubscriptBox["x", "3"]}], ")"}]}]]}]], "NumberedEquation"],

Cell[BoxData[
 RowBox[{"p", 
  RowBox[{"(", 
   RowBox[{
    SubscriptBox["x", "1"], "|", "\[Mu]"}], ")"}], "is", " ", "given", " ", 
  RowBox[{"by", ":"}]}]], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"PDF", "[", 
  RowBox[{"ndist0", ",", 
   SubscriptBox["x", "1"]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  FractionBox[
   SuperscriptBox["\[ExponentialE]", 
    RowBox[{"-", 
     FractionBox[
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{
         SubscriptBox["x", "1"], "-", "\[Mu]"}], ")"}], "2"], 
      RowBox[{"2", " ", 
       SuperscriptBox["\[Sigma]", "2"]}]]}]], 
   RowBox[{
    SqrtBox[
     RowBox[{"2", " ", "\[Pi]"}]], " ", "\[Sigma]"}]], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "Because the samples are drawn independently, the ",
 Cell[BoxData[
  RowBox[{"p", 
   RowBox[{"(", 
    RowBox[{
     SubscriptBox["x", "1"], ",", 
     SubscriptBox["x", "2"], ",", 
     RowBox[{
      SubscriptBox["x", "3"], "|", "\[Mu]"}]}], ")"}]}]]],
 " is the product of three terms, so the numerator is ",
 Cell[BoxData[
  RowBox[{"p", 
   RowBox[{"(", 
    RowBox[{
     SubscriptBox["x", "1"], "|", "\[Mu]"}], ")"}]}]]],
 Cell[BoxData[
  RowBox[{"p", 
   RowBox[{"(", 
    RowBox[{
     SubscriptBox["x", "2"], "|", "\[Mu]"}], ")"}]}]]],
 Cell[BoxData[
  RowBox[{"p", 
   RowBox[{"(", 
    RowBox[{
     SubscriptBox["x", "3"], "|", "\[Mu]"}], ")"}]}]]],
 "times the prior ",
 Cell[BoxData[
  RowBox[{"p", 
   RowBox[{"(", "\[Mu]", ")"}]}]]],
 ":"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"PDF", "[", 
   RowBox[{"ndist0", ",", 
    SubscriptBox["x", "1"]}], "]"}], "*", 
  RowBox[{"PDF", "[", 
   RowBox[{"ndist0", ",", 
    SubscriptBox["x", "2"]}], "]"}], "*", 
  RowBox[{"PDF", "[", 
   RowBox[{"ndist0", ",", 
    SubscriptBox["x", "3"]}], "]"}], "*", 
  RowBox[{"PDF", "[", 
   RowBox[{"ndist\[Mu]", ",", "\[Mu]"}], "]"}]}]], "Input"],

Cell[BoxData[
 FormBox[
  FractionBox[
   SuperscriptBox["\[ExponentialE]", 
    RowBox[{
     RowBox[{"-", 
      FractionBox[
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"\[Mu]", "-", "\[Mu]0"}], ")"}], "2"], 
       RowBox[{"2", " ", 
        SubsuperscriptBox["\[Sigma]", "0", "2"]}]]}], "-", 
     FractionBox[
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{
         SubscriptBox["x", "1"], "-", "\[Mu]"}], ")"}], "2"], 
      RowBox[{"2", " ", 
       SuperscriptBox["\[Sigma]", "2"]}]], "-", 
     FractionBox[
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{
         SubscriptBox["x", "2"], "-", "\[Mu]"}], ")"}], "2"], 
      RowBox[{"2", " ", 
       SuperscriptBox["\[Sigma]", "2"]}]], "-", 
     FractionBox[
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{
         SubscriptBox["x", "3"], "-", "\[Mu]"}], ")"}], "2"], 
      RowBox[{"2", " ", 
       SuperscriptBox["\[Sigma]", "2"]}]]}]], 
   RowBox[{"4", " ", 
    SuperscriptBox["\[Pi]", "2"], " ", 
    SuperscriptBox["\[Sigma]", "3"], " ", 
    SubscriptBox["\[Sigma]", "0"]}]], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell["Calculating the MAP estimate of mean", "Subsubsection"],

Cell[TextData[{
 "To find the value of the mean that is largest given our three samples, and \
our prior assumption, we find \[Mu] where ",
 Cell[BoxData[
  RowBox[{"p", 
   RowBox[{"(", 
    RowBox[{
     SubscriptBox["x", "1"], ",", 
     SubscriptBox["x", "2"], ",", 
     RowBox[{
      SubscriptBox["x", "3"], "|", "\[Mu]"}]}], ")"}], "p", 
   RowBox[{"(", "\[Mu]", ")"}]}]]],
 "is biggest:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"g", "=", 
   RowBox[{
    RowBox[{"PDF", "[", 
     RowBox[{"ndist0", ",", 
      SubscriptBox["x", "1"]}], "]"}], "*", 
    RowBox[{"PDF", "[", 
     RowBox[{"ndist0", ",", 
      SubscriptBox["x", "2"]}], "]"}], "*", 
    RowBox[{"PDF", "[", 
     RowBox[{"ndist0", ",", 
      SubscriptBox["x", "3"]}], "]"}], "*", 
    RowBox[{"PDF", "[", 
     RowBox[{"ndist\[Mu]", ",", "\[Mu]"}], "]"}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"t", "=", 
   RowBox[{"Log", "[", "g", "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"t1", "=", 
  RowBox[{"PowerExpand", "[", "t", "]"}]}], "\[IndentingNewLine]", 
 RowBox[{"t2", "=", 
  RowBox[{"D", "[", 
   RowBox[{"t1", ",", "\[Mu]"}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{"Solve", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"-", "t2"}], "\[Equal]", "0"}], ",", "\[Mu]"}], "]"}]}], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", 
    FractionBox[
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{"\[Mu]", "-", "\[Mu]0"}], ")"}], "2"], 
     RowBox[{"2", " ", 
      SubsuperscriptBox["\[Sigma]", "0", "2"]}]]}], "-", 
   FractionBox[
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["x", "1"], "-", "\[Mu]"}], ")"}], "2"], 
    RowBox[{"2", " ", 
     SuperscriptBox["\[Sigma]", "2"]}]], "-", 
   FractionBox[
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["x", "2"], "-", "\[Mu]"}], ")"}], "2"], 
    RowBox[{"2", " ", 
     SuperscriptBox["\[Sigma]", "2"]}]], "-", 
   FractionBox[
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["x", "3"], "-", "\[Mu]"}], ")"}], "2"], 
    RowBox[{"2", " ", 
     SuperscriptBox["\[Sigma]", "2"]}]], "-", 
   RowBox[{"3", " ", 
    RowBox[{"log", "(", "\[Sigma]", ")"}]}], "-", 
   RowBox[{"log", "(", 
    SubscriptBox["\[Sigma]", "0"], ")"}], "-", 
   RowBox[{"2", " ", 
    RowBox[{"log", "(", "\[Pi]", ")"}]}], "-", 
   RowBox[{"log", "(", "4", ")"}]}], TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"-", 
    FractionBox[
     RowBox[{"\[Mu]", "-", "\[Mu]0"}], 
     SubsuperscriptBox["\[Sigma]", "0", "2"]]}], "+", 
   FractionBox[
    RowBox[{
     SubscriptBox["x", "1"], "-", "\[Mu]"}], 
    SuperscriptBox["\[Sigma]", "2"]], "+", 
   FractionBox[
    RowBox[{
     SubscriptBox["x", "2"], "-", "\[Mu]"}], 
    SuperscriptBox["\[Sigma]", "2"]], "+", 
   FractionBox[
    RowBox[{
     SubscriptBox["x", "3"], "-", "\[Mu]"}], 
    SuperscriptBox["\[Sigma]", "2"]]}], TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{"{", 
    RowBox[{"\[Mu]", "\[Rule]", 
     FractionBox[
      RowBox[{
       RowBox[{"\[Mu]0", " ", 
        SuperscriptBox["\[Sigma]", "2"]}], "+", 
       RowBox[{
        SubscriptBox["x", "1"], " ", 
        SubsuperscriptBox["\[Sigma]", "0", "2"]}], "+", 
       RowBox[{
        SubscriptBox["x", "2"], " ", 
        SubsuperscriptBox["\[Sigma]", "0", "2"]}], "+", 
       RowBox[{
        SubscriptBox["x", "3"], " ", 
        SubsuperscriptBox["\[Sigma]", "0", "2"]}]}], 
      RowBox[{
       SuperscriptBox["\[Sigma]", "2"], "+", 
       RowBox[{"3", " ", 
        SubsuperscriptBox["\[Sigma]", "0", "2"]}]}]]}], "}"}], "}"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell["In general, one can update from n samples in batch mode:", "Text"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"{", 
   RowBox[{"\[Mu]", "\[Rule]", 
    FractionBox[
     RowBox[{
      FractionBox["\[Mu]0", 
       SuperscriptBox["\[Sigma]0", "2"]], "+", 
      RowBox[{
       FractionBox["1", 
        SuperscriptBox["\[Sigma]", "2"]], 
       RowBox[{
        UnderoverscriptBox["\[Sum]", 
         RowBox[{"i", "=", "1"}], "n"], 
        SubscriptBox["x", "i"]}]}]}], 
     RowBox[{
      FractionBox["n", 
       SuperscriptBox["\[Sigma]", "2"]], "+", 
      FractionBox["1", 
       SuperscriptBox["\[Sigma]0", "2"]]}]]}], "}"}], 
  "}"}]], "NumberedEquation"],

Cell["For the multi-variate case, see Duda and Hart.", "Text"],

Cell["\<\
What is the influence of the initial estimate of the mean as learning goes \
on? What is the estimate of the mean as n gets large?\
\>", "Exercise"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Appendices", "Section"],

Cell[CellGroupData[{

Cell[TextData[{
 "Using ",
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " lists to manipulate discrete priors, likelihoods, and posteriors"
}], "Subsection"],

Cell[CellGroupData[{

Cell["A note on list arithmetic", "Subsubsection"],

Cell[TextData[{
 "We haven't done standard matrix/vector operations above to do conditioning. \
We've take advantage of how  ",
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " divides a 2x3 array by a 2-element vector:"
}], "Text"],

Cell[CellGroupData[{

Cell["\<\
M=Array[m,{2,3}]
X = Array[x,{2}]\
\>", "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      RowBox[{"m", "(", 
       RowBox[{"1", ",", "1"}], ")"}], 
      RowBox[{"m", "(", 
       RowBox[{"1", ",", "2"}], ")"}], 
      RowBox[{"m", "(", 
       RowBox[{"1", ",", "3"}], ")"}]},
     {
      RowBox[{"m", "(", 
       RowBox[{"2", ",", "1"}], ")"}], 
      RowBox[{"m", "(", 
       RowBox[{"2", ",", "2"}], ")"}], 
      RowBox[{"m", "(", 
       RowBox[{"2", ",", "3"}], ")"}]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{"x", "(", "1", ")"}], ",", 
    RowBox[{"x", "(", "2", ")"}]}], "}"}], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell["M/X", "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      FractionBox[
       RowBox[{"m", "(", 
        RowBox[{"1", ",", "1"}], ")"}], 
       RowBox[{"x", "(", "1", ")"}]], 
      FractionBox[
       RowBox[{"m", "(", 
        RowBox[{"1", ",", "2"}], ")"}], 
       RowBox[{"x", "(", "1", ")"}]], 
      FractionBox[
       RowBox[{"m", "(", 
        RowBox[{"1", ",", "3"}], ")"}], 
       RowBox[{"x", "(", "1", ")"}]]},
     {
      FractionBox[
       RowBox[{"m", "(", 
        RowBox[{"2", ",", "1"}], ")"}], 
       RowBox[{"x", "(", "2", ")"}]], 
      FractionBox[
       RowBox[{"m", "(", 
        RowBox[{"2", ",", "2"}], ")"}], 
       RowBox[{"x", "(", "2", ")"}]], 
      FractionBox[
       RowBox[{"m", "(", 
        RowBox[{"2", ",", "3"}], ")"}], 
       RowBox[{"x", "(", "2", ")"}]]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Putting the probabilities back together again to get the joint\
\>", "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Transpose", "[", 
  RowBox[{
   RowBox[{"Transpose", "[", "pHx", "]"}], " ", "px"}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  SuperscriptBox[
   RowBox[{"(", 
    RowBox[{"px", " ", 
     SuperscriptBox["pHx", "\[Transpose]"]}], ")"}], "\[Transpose]"], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"pxH", " ", "pH"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"pH", " ", "pxH"}], TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Getting the posterior from the priors and likelihoods:", "Subsubsection"],

Cell[TextData[{
 "One reason Bayes' theorem is so useful is that it is often easier to \
formulate the likelihoods (e.g. from a causal or generativemodel of how the \
data could have occurred), and the priors (often from heuristics, or in \
computational vision empirically testable models of the external visual \
world). So let's use ",
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " to derive ",
 StyleBox["p(H|x)",
  FontWeight->"Bold"],
 " from ",
 StyleBox["p(x|H",
  FontWeight->"Bold"],
 ") and ",
 StyleBox["p(H)",
  FontWeight->"Bold"],
 " , (i.e. pHx from pxH and pH )."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"px2", " ", "=", " ", 
  RowBox[{"Plus", "@@", 
   RowBox[{"(", 
    RowBox[{"pxH", " ", "pH"}], ")"}]}]}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"pH", "+", "pxH"}], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Transpose", "[", 
  RowBox[{
   RowBox[{"Transpose", "[", 
    RowBox[{"(", 
     RowBox[{"pxH", " ", "pH"}], ")"}], "]"}], "/", 
   RowBox[{"Plus", "@@", 
    RowBox[{"(", 
     RowBox[{"pxH", " ", "pH"}], ")"}]}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  SuperscriptBox[
   FractionBox[
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"pH", " ", "pxH"}], ")"}], "\[Transpose]"], 
    RowBox[{"pH", "+", "pxH"}]], "\[Transpose]"], TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Show that this joint probability has a uniform prior (i.e. both priors \
equal). \
\>", "Subsubsection"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"p", "=", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{"1", "/", "8"}], ",", 
      RowBox[{"1", "/", "8"}], ",", 
      RowBox[{"1", "/", "4"}]}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"1", "/", "4"}], ",", 
      RowBox[{"1", "/", "8"}], ",", 
      RowBox[{"1", "/", "8"}]}], "}"}]}], "}"}]}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      FractionBox["1", "8"], 
      FractionBox["1", "8"], 
      FractionBox["1", "4"]},
     {
      FractionBox["1", "4"], 
      FractionBox["1", "8"], 
      FractionBox["1", "8"]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
 "Marginalization and conditioning: A small dimensional example using list \
manipulation in ",
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " "
}], "Subsection",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell["A discrete joint probability", "Subsubsection"],

Cell[TextData[{
 "All of our knowledge regarding the signal discrimination problem can be \
described in terms of the joint probability of the hypotheses, ",
 StyleBox["H",
  FontWeight->"Bold"],
 " and the possible data measurements, ",
 StyleBox["x. ",
  FontWeight->"Bold"],
 "The probability function assigns a number to all possible combinations:"
}], "Text"],

Cell[TextData[StyleBox["p[H, x]",
 FontWeight->"Bold"]], "Text",
 FontWeight->"Plain"],

Cell["\<\
That is, we are assuming that both the hypotheses and the data are discrete \
random variables.\
\>", "Text"],

Cell[BoxData[
 RowBox[{"H", "=", 
  RowBox[{"{", 
   RowBox[{GridBox[{
      {"S1"},
      {"S2"}
     }], "\n", "\n", 
    RowBox[{"x", " ", "\[Epsilon]", 
     RowBox[{"{", 
      RowBox[{"1", ",", "2", ",", "..."}], "}"}]}]}]}]}]], "Input",
 EmphasizeSyntaxErrors->True],

Cell["\<\
Let's assume that x can only take on one of three values, 1, 2, or 3. And \
suppose the joint probability is:\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"p", "=", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      FractionBox["1", "12"], ",", 
      FractionBox["1", "12"], ",", 
      FractionBox["1", "6"]}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{
      FractionBox["1", "3"], ",", 
      FractionBox["1", "6"], ",", 
      FractionBox["1", "6"]}], "}"}]}], "}"}]}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      FractionBox["1", "12"], 
      FractionBox["1", "12"], 
      FractionBox["1", "6"]},
     {
      FractionBox["1", "3"], 
      FractionBox["1", "6"], 
      FractionBox["1", "6"]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"TableForm", "[", 
  RowBox[{"p", ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<H=S1\>\"", ",", " ", "\"\<H=S2\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<x=1\>\"", ",", "\"\<x=2\>\"", ",", "\"\<x=3\>\""}], 
       "}"}]}], "}"}]}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"x=1\"\>",
        HoldForm], 
       TagBox["\<\"x=2\"\>",
        HoldForm], 
       TagBox["\<\"x=3\"\>",
        HoldForm]},
      {
       TagBox["\<\"H=S1\"\>",
        HoldForm], 
       FractionBox["1", "12"], 
       FractionBox["1", "12"], 
       FractionBox["1", "6"]},
      {
       TagBox["\<\"H=S2\"\>",
        HoldForm], 
       FractionBox["1", "3"], 
       FractionBox["1", "6"], 
       FractionBox["1", "6"]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"H=S1", "H=S2"}, {"x=1", "x=2", "x=3"}}]]],
   TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "The total probability should sum up to one. Let's test to make sure. We \
first turn the list of lists into a singel list of scalars using ",
 StyleBox["Flatten[]",
  FontWeight->"Bold"],
 ". And then we can sum either with ",
 StyleBox["Apply[Plus,Flatten[p]].",
  FontWeight->"Bold"]
}], "Text"],

Cell[CellGroupData[{

Cell["Plus @@ Flatten[p]", "Input"],

Cell[BoxData[
 FormBox["1", TraditionalForm]], "Output"]
}, Closed]],

Cell["We can pull out the first row of p like this:", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"p", "[", 
  RowBox[{"[", "1", "]"}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    FractionBox["1", "12"], ",", 
    FractionBox["1", "12"], ",", 
    FractionBox["1", "6"]}], "}"}], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    FractionBox["1", "12"], ",", 
    FractionBox["1", "12"], ",", 
    FractionBox["1", "6"]}], "}"}], TraditionalForm]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    FractionBox["1", "12"], ",", 
    FractionBox["1", "12"], ",", 
    FractionBox["1", "6"]}], "}"}], TraditionalForm]], "Output"]
}, Closed]],

Cell["\<\
Is this the probability of x? No. For a start, the numbers don't sum to one. \
But we can get it through the two processes of marginalization and \
conditioning.\
\>", "Text"]
}, Closed]],

Cell[CellGroupData[{

Cell["Marginalizing", "Subsubsection"],

Cell[TextData[{
 "What are the probabilities of the data, p(x)? To find out, we use the ",
 StyleBox["sum rule",
  FontSlant->"Italic"],
 " to sum over the columns:"
}], "Text",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"px", " ", "=", " ", 
  RowBox[{"Apply", "[", 
   RowBox[{"Plus", ",", "p"}], "]"}]}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    FractionBox["5", "12"], ",", 
    FractionBox["1", "4"], ",", 
    FractionBox["1", "3"]}], "}"}], TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "\"Summing over \"is also called ",
 StyleBox["marginalization ",
  FontWeight->"Bold"],
 "or",
 StyleBox[" \"integrating out\". ",
  FontWeight->"Bold"],
 " Note that marginalization turns a probability function with higher degrees \
of freedom into one of lower degrees of freedom. "
}], "Text"],

Cell["\<\
What are the prior probabilities? p(H)? To find out, we sum over the rows:\
\>", "Text",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"pH", " ", "=", " ", 
  RowBox[{"Apply", "[", 
   RowBox[{"Plus", ",", " ", 
    RowBox[{"Transpose", "[", "p", "]"}]}], "]"}]}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    FractionBox["1", "3"], ",", 
    FractionBox["2", "3"]}], "}"}], TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Conditioning", "Subsubsection"],

Cell[TextData[{
 "Now that we have the marginals, we can get use the ",
 StyleBox["product rule",
  FontSlant->"Italic"],
 " to obtain the conditional probability through conditioning of the joint:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"p", "[", " ", 
    RowBox[{"x", "|", "H"}], "]"}], "=", 
   FractionBox[
    RowBox[{"p", "[", 
     RowBox[{"H", ",", " ", "x"}], "]"}], 
    RowBox[{"p", "[", "H", "]"}]]}], TraditionalForm]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"Set", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\((\[NoBreak] \\*GridBox[{{\\(1\\/12\\), \
\\(1\\/12\\), \\(1\\/6\\)}, {\\(1\\/3\\), \\(1\\/6\\), \\(1\\/6\\)}}, \
RowSpacings -> 1, ColumnSpacings -> 1, ColumnAlignments -> Left] \
\[NoBreak])\\)\\)[\\(\\(x | H\\)\\)]\\)\\) is Protected. \
\\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \
ButtonFrame->None, ButtonData:>\\\"paclet:ref/message/General/write\\\", \
ButtonNote -> \\\"Set::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", \
"MSG"],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"H", ",", "x"}], "]"}], 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", "H", 
    "]"}]], TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "In the Exercises, you can see how to use ",
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " to do the division for conditioning. The syntax is simple:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"pxH", " ", "=", " ", 
  RowBox[{"p", "/", "pH"}]}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      FractionBox["1", "4"], 
      FractionBox["1", "4"], 
      FractionBox["1", "2"]},
     {
      FractionBox["1", "2"], 
      FractionBox["1", "4"], 
      FractionBox["1", "4"]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "Note that the probability of x conditional on H sums up to 1 over x, i.e. \
each row adds up to 1. But, the columns do not. ",
 StyleBox["p[x|H]",
  FontWeight->"Bold"],
 " is a ",
 StyleBox["probability",
  FontWeight->"Bold"],
 " function of x, but a ",
 StyleBox["likelihood",
  FontWeight->"Bold"],
 " function of H. The posterior probability is obtained by conditioning on \
x:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"p", "[", " ", 
    RowBox[{"H", "|", "x"}], "]"}], "=", 
   FractionBox[
    RowBox[{"p", "[", 
     RowBox[{"H", ",", " ", "x"}], "]"}], 
    RowBox[{"p", "[", "x", "]"}]]}], TraditionalForm]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"Set", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\((\[NoBreak] \\*GridBox[{{\\(1\\/12\\), \
\\(1\\/12\\), \\(1\\/6\\)}, {\\(1\\/3\\), \\(1\\/6\\), \\(1\\/6\\)}}, \
RowSpacings -> 1, ColumnSpacings -> 1, ColumnAlignments -> Left] \
\[NoBreak])\\)\\)[\\(\\(H | x\\)\\)]\\)\\) is Protected. \
\\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \
ButtonFrame->None, ButtonData:>\\\"paclet:ref/message/General/write\\\", \
ButtonNote -> \\\"Set::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", \
"MSG"],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"H", ",", "x"}], "]"}], 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", "x", 
    "]"}]], TraditionalForm]], "Output"]
}, Closed]],

Cell["\<\
Syntax here is a bit more complicated, because the number of columns of px \
don't match the number of rows of p. We use Transpose[] to exchange the \
columns and rows of p before dividing, and then use Transpose again to get \
back the 2x3 form:\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"pHx", " ", "=", " ", 
  RowBox[{"Transpose", "[", 
   RowBox[{
    RowBox[{"Transpose", "[", "p", "]"}], "/", "px"}], "]"}]}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      FractionBox["1", "5"], 
      FractionBox["1", "3"], 
      FractionBox["1", "2"]},
     {
      FractionBox["4", "5"], 
      FractionBox["2", "3"], 
      FractionBox["1", "2"]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[StyleBox["Plotting the joint", "Subsubsection"]], "Text"],

Cell[TextData[{
 "The following BarChart[] graphics function requires in add-in package (",
 StyleBox["<< Graphics`Graphics`",
  FontWeight->"Bold"],
 "), which is specified at the top of the notebook. You could also use ",
 StyleBox["ListDensityPlot[]",
  FontWeight->"Bold"],
 "."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"BarChart", "[", 
  RowBox[{
   RowBox[{"p", "\[LeftDoubleBracket]", "1", "\[RightDoubleBracket]"}], ",", 
   RowBox[{"p", "\[LeftDoubleBracket]", "2", "\[RightDoubleBracket]"}]}], 
  "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  GraphicsBox[{
    {Hue[0.67, 0.45, 0.65], EdgeForm[Opacity[0.5]], 
     RectangleBox[{0.815, 0}, 
      NCache[{1.185, Rational[1, 12]}, {1.185, 0.08333333333333333}]]}, 
    {Hue[0.67, 0.45, 0.65], EdgeForm[Opacity[0.5]], 
     RectangleBox[{1.815, 0}, 
      NCache[{2.185, Rational[1, 12]}, {2.185, 0.08333333333333333}]]}, 
    {Hue[0.67, 0.45, 0.65], EdgeForm[Opacity[0.5]], 
     RectangleBox[{2.815, 0}, 
      NCache[{3.185, Rational[1, 6]}, {3.185, 0.16666666666666666`}]]}, 
    {Hue[0.9060679774997897, 0.45, 0.65], EdgeForm[Opacity[0.5]], 
     RectangleBox[{1.2149999999999999`, 0}, 
      NCache[{1.585, Rational[1, 3]}, {1.585, 0.3333333333333333}]]}, 
    {Hue[0.9060679774997897, 0.45, 0.65], EdgeForm[Opacity[0.5]], 
     RectangleBox[{2.215, 0}, 
      NCache[{2.585, Rational[1, 6]}, {2.585, 0.16666666666666666`}]]}, 
    {Hue[0.9060679774997897, 0.45, 0.65], EdgeForm[Opacity[0.5]], 
     RectangleBox[{3.215, 0}, 
      NCache[{3.585, Rational[1, 6]}, {3.585, 0.16666666666666666`}]]}},
   AlignmentPoint->Center,
   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
   Axes->True,
   AxesLabel->None,
   AxesOrigin->{0.6, 0},
   AxesStyle->{},
   Background->None,
   BaseStyle->{},
   BaselinePosition->Automatic,
   ColorOutput->Automatic,
   ContentSelectable->Automatic,
   DisplayFunction:>$DisplayFunction,
   Epilog->{},
   FormatType:>TraditionalForm,
   Frame->False,
   FrameLabel->None,
   FrameStyle->{},
   FrameTicks->{{{1.2, 
       FormBox["1", TraditionalForm], 0}, {2.2, 
       FormBox["2", TraditionalForm], 0}, {3.2, 
       FormBox["3", TraditionalForm], 0}}, Automatic},
   FrameTicksStyle->{},
   GridLines->None,
   GridLinesStyle->{},
   ImageMargins->0.,
   ImagePadding->All,
   ImageSize->Automatic,
   LabelStyle->{},
   Method->Automatic,
   PlotLabel->None,
   PlotRange->{{0.6, 3.8}, All},
   PlotRangeClipping->True,
   PlotRangePadding->Automatic,
   PlotRegion->Automatic,
   PreserveImageOptions->Automatic,
   Prolog->{},
   RotateLabel->True,
   Ticks->{{{1.2, 
       FormBox["1", TraditionalForm], 0}, {2.2, 
       FormBox["2", TraditionalForm], 0}, {3.2, 
       FormBox["3", TraditionalForm], 0}}, Automatic},
   TicksStyle->{}], TraditionalForm]], "Output"]
}, Closed]]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[{
 "Marginalization and conditioning: An example using ",
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " functions"
}], "Subsection",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell["A discrete joint probability", "Subsubsection"],

Cell[TextData[{
 "All of our knowledge regarding the signal discrimination problem can be \
described in terms of the joint probability of the hypotheses, ",
 StyleBox["H",
  FontWeight->"Bold"],
 " and the possible data measurements, ",
 StyleBox["x. ",
  FontWeight->"Bold"],
 "The probability function assigns a number to all possible combinations:"
}], "Text"],

Cell[TextData[StyleBox["p[H, x]",
 FontWeight->"Bold"]], "Text",
 FontWeight->"Plain"],

Cell["\<\
That is, we are assuming that both the hypotheses and the data are discrete \
random variables.\
\>", "Text"],

Cell[BoxData[
 RowBox[{"H", "=", 
  RowBox[{"{", 
   RowBox[{GridBox[{
      {"S1"},
      {"S2"}
     }], "\n", "\n", 
    RowBox[{"x", " ", "\[Epsilon]", 
     RowBox[{"{", 
      RowBox[{"1", ",", "2", ",", "..."}], "}"}]}]}]}]}]], "Input",
 EmphasizeSyntaxErrors->True],

Cell["\<\
Let's assume that x can only take on one of three values, 1, 2, or 3. And \
suppose the joint probability is:\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"p", "[", 
    RowBox[{"H_", ",", "x_"}], "]"}], ":=", 
   RowBox[{"Which", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"H", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"x", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"1", "/", "12"}], ",", 
     RowBox[{
      RowBox[{"H", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"x", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"1", "/", "12"}], ",", 
     RowBox[{
      RowBox[{"H", "\[Equal]", "1"}], " ", "&&", " ", 
      RowBox[{"x", " ", "\[Equal]", "3"}]}], ",", 
     RowBox[{"1", "/", "6"}], ",", 
     RowBox[{
      RowBox[{"H", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"x", " ", "\[Equal]", "1"}]}], ",", 
     RowBox[{"1", "/", "3"}], ",", 
     RowBox[{
      RowBox[{"H", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"x", " ", "\[Equal]", "2"}]}], ",", 
     RowBox[{"1", "/", "6"}], ",", " ", 
     RowBox[{
      RowBox[{"H", "\[Equal]", "2"}], " ", "&&", " ", 
      RowBox[{"x", " ", "\[Equal]", "3"}]}], ",", 
     RowBox[{"1", "/", "6"}]}], "]"}]}], ";"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"SetDelayed", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\((\[NoBreak] \\*GridBox[{{\\(1\\/12\\), \
\\(1\\/12\\), \\(1\\/6\\)}, {\\(1\\/3\\), \\(1\\/6\\), \\(1\\/6\\)}}, \
RowSpacings -> 1, ColumnSpacings -> 1, ColumnAlignments -> Left] \
\[NoBreak])\\)\\)[\\(\\(H_, x_\\)\\)]\\)\\) is Protected. \\!\\(\\*ButtonBox[\
\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", ButtonFrame->None, \
ButtonData:>\\\"paclet:ref/message/General/write\\\", ButtonNote -> \
\\\"SetDelayed::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", "MSG"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"TableForm", "[", 
  RowBox[{
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"p", "[", 
      RowBox[{"H", ",", "x"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"H", ",", "1", ",", "2"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}], ",", 
   RowBox[{"TableHeadings", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"\"\<H=s1\>\"", ",", " ", "\"\<H=s2\>\""}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"\"\<X=1\>\"", ",", "\"\<X=2\>\"", ",", "\"\<X=3\>\""}], 
       "}"}]}], "}"}]}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  TagBox[
   TagBox[GridBox[{
      {
       StyleBox["\[Null]",
        ShowStringCharacters->False], 
       TagBox["\<\"X=1\"\>",
        HoldForm], 
       TagBox["\<\"X=2\"\>",
        HoldForm], 
       TagBox["\<\"X=3\"\>",
        HoldForm]},
      {
       TagBox["\<\"H=s1\"\>",
        HoldForm], 
       RowBox[{GridBox[{
          {
           FractionBox["1", "12"], 
           FractionBox["1", "12"], 
           FractionBox["1", "6"]},
          {
           FractionBox["1", "3"], 
           FractionBox["1", "6"], 
           FractionBox["1", "6"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "[", 
        RowBox[{"1", ",", "1"}], "]"}], 
       RowBox[{GridBox[{
          {
           FractionBox["1", "12"], 
           FractionBox["1", "12"], 
           FractionBox["1", "6"]},
          {
           FractionBox["1", "3"], 
           FractionBox["1", "6"], 
           FractionBox["1", "6"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "[", 
        RowBox[{"1", ",", "2"}], "]"}], 
       RowBox[{GridBox[{
          {
           FractionBox["1", "12"], 
           FractionBox["1", "12"], 
           FractionBox["1", "6"]},
          {
           FractionBox["1", "3"], 
           FractionBox["1", "6"], 
           FractionBox["1", "6"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "[", 
        RowBox[{"1", ",", "3"}], "]"}]},
      {
       TagBox["\<\"H=s2\"\>",
        HoldForm], 
       RowBox[{GridBox[{
          {
           FractionBox["1", "12"], 
           FractionBox["1", "12"], 
           FractionBox["1", "6"]},
          {
           FractionBox["1", "3"], 
           FractionBox["1", "6"], 
           FractionBox["1", "6"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "[", 
        RowBox[{"2", ",", "1"}], "]"}], 
       RowBox[{GridBox[{
          {
           FractionBox["1", "12"], 
           FractionBox["1", "12"], 
           FractionBox["1", "6"]},
          {
           FractionBox["1", "3"], 
           FractionBox["1", "6"], 
           FractionBox["1", "6"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "[", 
        RowBox[{"2", ",", "2"}], "]"}], 
       RowBox[{GridBox[{
          {
           FractionBox["1", "12"], 
           FractionBox["1", "12"], 
           FractionBox["1", "6"]},
          {
           FractionBox["1", "3"], 
           FractionBox["1", "6"], 
           FractionBox["1", "6"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "[", 
        RowBox[{"2", ",", "3"}], "]"}]}
     },
     GridBoxAlignment->{
      "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
       "RowsIndexed" -> {}},
     GridBoxDividers->{
      "Columns" -> {False, True, {False}, False}, "ColumnsIndexed" -> {}, 
       "Rows" -> {False, True, {False}, False}, "RowsIndexed" -> {}},
     GridBoxSpacings->{"Columns" -> {
         Offset[0.27999999999999997`], {
          Offset[0.7]}, 
         Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
         Offset[0.2], {
          Offset[0.4]}, 
         Offset[0.2]}, "RowsIndexed" -> {}}],
    {OutputFormsDump`HeadedRows, OutputFormsDump`HeadedColumns}],
   Function[BoxForm`e$, 
    TableForm[
    BoxForm`e$, TableHeadings -> {{"H=s1", "H=s2"}, {"X=1", "X=2", "X=3"}}]]],
   TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "The total probability should sum up to one. Let's test to make sure. We \
first turn the list of lists into a singel list of scalars using ",
 StyleBox["Flatten[]",
  FontWeight->"Bold"],
 ". And then we can sum either with ",
 StyleBox["Apply[Plus,Flatten[p]].",
  FontWeight->"Bold"]
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Sum", "[", 
  RowBox[{
   RowBox[{"p", "[", 
    RowBox[{"H", ",", "x"}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"H", ",", "1", ",", "2"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"1", ",", "1"}], "]"}], "+", 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"1", ",", "2"}], "]"}], "+", 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"1", ",", "3"}], "]"}], "+", 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"2", ",", "1"}], "]"}], "+", 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"2", ",", "2"}], "]"}], "+", 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"2", ",", "3"}], "]"}]}], TraditionalForm]], "Output"]
}, Closed]],

Cell["We can pull out the first row of p like this:", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Table", "[", 
  RowBox[{
   RowBox[{"p", "[", 
    RowBox[{"1", ",", "x"}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"(", "\[NoBreak]", GridBox[{
        {
         FractionBox["1", "12"], 
         FractionBox["1", "12"], 
         FractionBox["1", "6"]},
        {
         FractionBox["1", "3"], 
         FractionBox["1", "6"], 
         FractionBox["1", "6"]}
       },
       GridBoxAlignment->{
        "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
          "RowsIndexed" -> {}},
       GridBoxSpacings->{"Columns" -> {
           Offset[0.27999999999999997`], {
            Offset[0.7]}, 
           Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
           Offset[0.2], {
            Offset[0.4]}, 
           Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
     RowBox[{"1", ",", "1"}], "]"}], ",", 
    RowBox[{
     RowBox[{"(", "\[NoBreak]", GridBox[{
        {
         FractionBox["1", "12"], 
         FractionBox["1", "12"], 
         FractionBox["1", "6"]},
        {
         FractionBox["1", "3"], 
         FractionBox["1", "6"], 
         FractionBox["1", "6"]}
       },
       GridBoxAlignment->{
        "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
          "RowsIndexed" -> {}},
       GridBoxSpacings->{"Columns" -> {
           Offset[0.27999999999999997`], {
            Offset[0.7]}, 
           Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
           Offset[0.2], {
            Offset[0.4]}, 
           Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
     RowBox[{"1", ",", "2"}], "]"}], ",", 
    RowBox[{
     RowBox[{"(", "\[NoBreak]", GridBox[{
        {
         FractionBox["1", "12"], 
         FractionBox["1", "12"], 
         FractionBox["1", "6"]},
        {
         FractionBox["1", "3"], 
         FractionBox["1", "6"], 
         FractionBox["1", "6"]}
       },
       GridBoxAlignment->{
        "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}},
          "RowsIndexed" -> {}},
       GridBoxSpacings->{"Columns" -> {
           Offset[0.27999999999999997`], {
            Offset[0.7]}, 
           Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
           Offset[0.2], {
            Offset[0.4]}, 
           Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
     RowBox[{"1", ",", "3"}], "]"}]}], "}"}], TraditionalForm]], "Output"]
}, Closed]],

Cell["\<\
Is this the probability of x? No. For a start, the numbers don't sum to one. \
But we can get it through the two processes of marginalization and \
conditioning.\
\>", "Text"]
}, Closed]],

Cell[CellGroupData[{

Cell["Marginalizing", "Subsubsection"],

Cell[TextData[{
 "What are the probabilities of the data, p(x)? To find out, we use the ",
 StyleBox["sum rule",
  FontSlant->"Italic"],
 " to sum over the columns:"
}], "Text",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"px", "[", "x_", "]"}], ":=", 
   RowBox[{"Sum", "[", 
    RowBox[{
     RowBox[{"p", "[", 
      RowBox[{"H", ",", "x"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"H", ",", "1", ",", "2"}], "}"}]}], "]"}]}], ";"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"SetDelayed", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\({5\\/12, 1\\/4, 1\\/3}\\)\\)[x_]\\)\\) is \
Protected. \\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\
\\\", ButtonFrame->None, \
ButtonData:>\\\"paclet:ref/message/General/write\\\", ButtonNote -> \
\\\"SetDelayed::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", "MSG"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Table", "[", 
  RowBox[{
   RowBox[{"px", "[", "x", "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       FractionBox["5", "12"], ",", 
       FractionBox["1", "4"], ",", 
       FractionBox["1", "3"]}], "}"}], "[", "1", "]"}], ",", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       FractionBox["5", "12"], ",", 
       FractionBox["1", "4"], ",", 
       FractionBox["1", "3"]}], "}"}], "[", "2", "]"}], ",", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       FractionBox["5", "12"], ",", 
       FractionBox["1", "4"], ",", 
       FractionBox["1", "3"]}], "}"}], "[", "3", "]"}]}], "}"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "\"Summing over \"is also called ",
 StyleBox["marginalization ",
  FontWeight->"Bold"],
 "or",
 StyleBox[" \"integrating out\". ",
  FontWeight->"Bold"],
 " Note that marginalization turns a probability function with higher degrees \
of freedom into one of lower degrees of freedom. "
}], "Text"],

Cell["\<\
What are the prior probabilities? p(H)? To find out, we sum over the rows:\
\>", "Text",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"pH", "[", "H_", "]"}], ":=", 
   RowBox[{"Sum", "[", 
    RowBox[{
     RowBox[{"p", "[", 
      RowBox[{"H", ",", "x"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}]}], ";"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"SetDelayed", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\({1\\/3, 2\\/3}\\)\\)[H_]\\)\\) is Protected. \
\\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \
ButtonFrame->None, ButtonData:>\\\"paclet:ref/message/General/write\\\", \
ButtonNote -> \\\"SetDelayed::write\\\"]\\)\"\>"}], 
  TraditionalForm]], "Message", "MSG"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Table", "[", 
  RowBox[{
   RowBox[{"pH", "[", "H", "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"H", ",", "1", ",", "2"}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       FractionBox["1", "3"], ",", 
       FractionBox["2", "3"]}], "}"}], "[", "1", "]"}], ",", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       FractionBox["1", "3"], ",", 
       FractionBox["2", "3"]}], "}"}], "[", "2", "]"}]}], "}"}], 
  TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["Conditioning", "Subsubsection"],

Cell[TextData[{
 "Now that we have the marginals, we can get use the ",
 StyleBox["product rule",
  FontSlant->"Italic"],
 " to obtain the conditional probability through conditioning of the joint:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"p", "[", " ", 
    RowBox[{"x", "|", "H"}], "]"}], "=", 
   FractionBox[
    RowBox[{"p", "[", 
     RowBox[{"H", ",", " ", "x"}], "]"}], 
    RowBox[{"p", "[", "H", "]"}]]}], TraditionalForm]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"Set", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\((\[NoBreak] \\*GridBox[{{\\(1\\/12\\), \
\\(1\\/12\\), \\(1\\/6\\)}, {\\(1\\/3\\), \\(1\\/6\\), \\(1\\/6\\)}}, \
RowSpacings -> 1, ColumnSpacings -> 1, ColumnAlignments -> Left] \
\[NoBreak])\\)\\)[\\(\\(x | H\\)\\)]\\)\\) is Protected. \
\\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \
ButtonFrame->None, ButtonData:>\\\"paclet:ref/message/General/write\\\", \
ButtonNote -> \\\"Set::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", \
"MSG"],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"H", ",", "x"}], "]"}], 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", "H", 
    "]"}]], TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "We use function definition in ",
 StyleBox["Mathematica",
  FontSlant->"Italic"],
 " to do the division for conditioning. The syntax is simple:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"pxH", "[", 
    RowBox[{"H_", ",", "x_"}], "]"}], ":=", 
   RowBox[{
    RowBox[{"p", "[", 
     RowBox[{"H", ",", "x"}], "]"}], "/", 
    RowBox[{"pH", "[", "H", "]"}]}]}], ";"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"SetDelayed", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\((\[NoBreak] \\*GridBox[{{\\(1\\/4\\), \
\\(1\\/4\\), \\(1\\/2\\)}, {\\(1\\/2\\), \\(1\\/4\\), \\(1\\/4\\)}}, \
RowSpacings -> 1, ColumnSpacings -> 1, ColumnAlignments -> Left] \
\[NoBreak])\\)\\)[\\(\\(H_, x_\\)\\)]\\)\\) is Protected. \\!\\(\\*ButtonBox[\
\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", ButtonFrame->None, \
ButtonData:>\\\"paclet:ref/message/General/write\\\", ButtonNote -> \
\\\"SetDelayed::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", "MSG"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Table", "[", 
  RowBox[{
   RowBox[{"pxH", "[", 
    RowBox[{"H", ",", "x"}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"H", ",", "1", ",", "2"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "4"], 
           FractionBox["1", "4"], 
           FractionBox["1", "2"]},
          {
           FractionBox["1", "2"], 
           FractionBox["1", "4"], 
           FractionBox["1", "4"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"1", ",", "1"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "4"], 
           FractionBox["1", "4"], 
           FractionBox["1", "2"]},
          {
           FractionBox["1", "2"], 
           FractionBox["1", "4"], 
           FractionBox["1", "4"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"1", ",", "2"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "4"], 
           FractionBox["1", "4"], 
           FractionBox["1", "2"]},
          {
           FractionBox["1", "2"], 
           FractionBox["1", "4"], 
           FractionBox["1", "4"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"1", ",", "3"}], "]"}]},
     {
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "4"], 
           FractionBox["1", "4"], 
           FractionBox["1", "2"]},
          {
           FractionBox["1", "2"], 
           FractionBox["1", "4"], 
           FractionBox["1", "4"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"2", ",", "1"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "4"], 
           FractionBox["1", "4"], 
           FractionBox["1", "2"]},
          {
           FractionBox["1", "2"], 
           FractionBox["1", "4"], 
           FractionBox["1", "4"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"2", ",", "2"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "4"], 
           FractionBox["1", "4"], 
           FractionBox["1", "2"]},
          {
           FractionBox["1", "2"], 
           FractionBox["1", "4"], 
           FractionBox["1", "4"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"2", ",", "3"}], "]"}]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[{
 "Note that the probability of x conditional on H sums up to 1 over x, i.e. \
each row adds up to 1. But, the columns do not. ",
 StyleBox["p[x|H]",
  FontWeight->"Bold"],
 " is a ",
 StyleBox["probability",
  FontWeight->"Bold"],
 " function of x, but a ",
 StyleBox["likelihood",
  FontWeight->"Bold"],
 " function of H. The posterior probability is obtained by conditioning on \
x:"
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"p", "[", " ", 
    RowBox[{"H", "|", "x"}], "]"}], "=", 
   FractionBox[
    RowBox[{"p", "[", 
     RowBox[{"H", ",", " ", "x"}], "]"}], 
    RowBox[{"p", "[", "x", "]"}]]}], TraditionalForm]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"Set", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\((\[NoBreak] \\*GridBox[{{\\(1\\/12\\), \
\\(1\\/12\\), \\(1\\/6\\)}, {\\(1\\/3\\), \\(1\\/6\\), \\(1\\/6\\)}}, \
RowSpacings -> 1, ColumnSpacings -> 1, ColumnAlignments -> Left] \
\[NoBreak])\\)\\)[\\(\\(H | x\\)\\)]\\)\\) is Protected. \
\\!\\(\\*ButtonBox[\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", \
ButtonFrame->None, ButtonData:>\\\"paclet:ref/message/General/write\\\", \
ButtonNote -> \\\"Set::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", \
"MSG"],

Cell[BoxData[
 FormBox[
  FractionBox[
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
    RowBox[{"H", ",", "x"}], "]"}], 
   RowBox[{
    RowBox[{"(", "\[NoBreak]", GridBox[{
       {
        FractionBox["1", "12"], 
        FractionBox["1", "12"], 
        FractionBox["1", "6"]},
       {
        FractionBox["1", "3"], 
        FractionBox["1", "6"], 
        FractionBox["1", "6"]}
      },
      GridBoxAlignment->{
       "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
        "RowsIndexed" -> {}},
      GridBoxSpacings->{"Columns" -> {
          Offset[0.27999999999999997`], {
           Offset[0.7]}, 
          Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
          Offset[0.2], {
           Offset[0.4]}, 
          Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", "x", 
    "]"}]], TraditionalForm]], "Output"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"pHx", "[", 
    RowBox[{"H_", ",", "x_"}], "]"}], ":=", 
   RowBox[{
    RowBox[{"p", "[", 
     RowBox[{"H", ",", "x"}], "]"}], "/", 
    RowBox[{"px", "[", "x", "]"}]}]}], ";"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"SetDelayed", "::", "\<\"write\"\>"}], 
   RowBox[{
   ":", " "}], "\<\"Tag \\!\\(TraditionalForm\\`List\\) in \
\\!\\(TraditionalForm\\`\\(\\(\\((\[NoBreak] \\*GridBox[{{\\(1\\/5\\), \
\\(1\\/3\\), \\(1\\/2\\)}, {\\(4\\/5\\), \\(2\\/3\\), \\(1\\/2\\)}}, \
RowSpacings -> 1, ColumnSpacings -> 1, ColumnAlignments -> Left] \
\[NoBreak])\\)\\)[\\(\\(H_, x_\\)\\)]\\)\\) is Protected. \\!\\(\\*ButtonBox[\
\\\"\[RightSkeleton]\\\", ButtonStyle->\\\"Link\\\", ButtonFrame->None, \
ButtonData:>\\\"paclet:ref/message/General/write\\\", ButtonNote -> \
\\\"SetDelayed::write\\\"]\\)\"\>"}], TraditionalForm]], "Message", "MSG"]
}, Closed]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Table", "[", 
  RowBox[{
   RowBox[{"pHx", " ", "[", 
    RowBox[{"H", ",", "x"}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"H", ",", "1", ",", "2"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  RowBox[{"(", "\[NoBreak]", GridBox[{
     {
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "5"], 
           FractionBox["1", "3"], 
           FractionBox["1", "2"]},
          {
           FractionBox["4", "5"], 
           FractionBox["2", "3"], 
           FractionBox["1", "2"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"1", ",", "1"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "5"], 
           FractionBox["1", "3"], 
           FractionBox["1", "2"]},
          {
           FractionBox["4", "5"], 
           FractionBox["2", "3"], 
           FractionBox["1", "2"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"1", ",", "2"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "5"], 
           FractionBox["1", "3"], 
           FractionBox["1", "2"]},
          {
           FractionBox["4", "5"], 
           FractionBox["2", "3"], 
           FractionBox["1", "2"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"1", ",", "3"}], "]"}]},
     {
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "5"], 
           FractionBox["1", "3"], 
           FractionBox["1", "2"]},
          {
           FractionBox["4", "5"], 
           FractionBox["2", "3"], 
           FractionBox["1", "2"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"2", ",", "1"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "5"], 
           FractionBox["1", "3"], 
           FractionBox["1", "2"]},
          {
           FractionBox["4", "5"], 
           FractionBox["2", "3"], 
           FractionBox["1", "2"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"2", ",", "2"}], "]"}], 
      RowBox[{
       RowBox[{"(", "\[NoBreak]", GridBox[{
          {
           FractionBox["1", "5"], 
           FractionBox["1", "3"], 
           FractionBox["1", "2"]},
          {
           FractionBox["4", "5"], 
           FractionBox["2", "3"], 
           FractionBox["1", "2"]}
         },
         GridBoxAlignment->{
          "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, 
           "Rows" -> {{Baseline}}, "RowsIndexed" -> {}},
         GridBoxSpacings->{"Columns" -> {
             Offset[0.27999999999999997`], {
              Offset[0.7]}, 
             Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, 
           "Rows" -> {
             Offset[0.2], {
              Offset[0.4]}, 
             Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], "[", 
       RowBox[{"2", ",", "3"}], "]"}]}
    },
    GridBoxAlignment->{
     "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, 
      "RowsIndexed" -> {}},
    GridBoxSpacings->{"Columns" -> {
        Offset[0.27999999999999997`], {
         Offset[0.7]}, 
        Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> {
        Offset[0.2], {
         Offset[0.4]}, 
        Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}], 
  TraditionalForm]], "Output"]
}, Closed]],

Cell[TextData[StyleBox["Plotting the joint", "Subsubsection"]], "Text"],

Cell[TextData[{
 "We use",
 StyleBox[" List",
  FontWeight->"Bold"],
 StyleBox["DensityPlot[]",
  FontWeight->"Bold"],
 "."
}], "Text"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListDensityPlot", "[", 
  RowBox[{"Table", "[", 
   RowBox[{
    RowBox[{"p", "[", 
     RowBox[{"H", ",", "x"}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"H", ",", "1", ",", "2"}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{"x", ",", "1", ",", "3"}], "}"}]}], "]"}], "]"}]], "Input"],

Cell[BoxData[
 FormBox[
  GraphicsBox[GraphicsComplexBox[{}, {}],
   AspectRatio->1,
   Frame->True,
   PlotRange->{{0., 0.}, {0., 0.}},
   PlotRangeClipping->True,
   PlotRangePadding->{
     Scaled[0.02], 
     Scaled[0.02]}], TraditionalForm]], "Output"]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell["\<\
Random number generator, a non-Gaussian example: The von Mises distribution, \
with Matlab code \
\>", "Subsubsection"],

Cell["(courtesy, Paul Schrater)", "Text"],

Cell["\<\
function pofx = vonMisespdf(x,mu,sigma)
% For -pi <= x <= pi
% force x-mu within -pi to pi
y = angle(exp(i*(x-mu)));
kappa = 1/(sigma)^2;
%kappa = sigma;
pofx = exp(kappa*cos(y))/(2*pi*besseli(0,kappa));\
\>", "SmallText"],

Cell["\<\
function vonrand = vonMisesrand(nrand,mu,sigma)
% inverse cumulative method, executed by table lookup with
% linear interpolation
% build sampled cdf
x = (-pi:2*pi/(2e3):pi);
pofx = vonMisespdf(x,0,sigma);
cofx = cumsum(pofx/sum(pofx));
u = rand(1,nrand);
vonrand = interp1(cofx,x,u)+mu;\
\>", "SmallText"]
}, Closed]]
}, Closed]]
}, Closed]],

Cell[CellGroupData[{

Cell[TextData[StyleBox["References",
 FontWeight->"Plain"]], "Section",
 Evaluatable->False,
 AspectRatioFixed->True],

Cell[TextData[{
 "Applebaum, D. (1996). ",
 StyleBox["Probability and Information",
  FontVariations->{"Underline"->True}],
 " . Cambridge, UK: Cambridge University Press.\nCover, T. M., & Joy, A. T. \
(1991). ",
 StyleBox["Elements of Information Theory",
  FontSlant->"Italic"],
 ". New York: John Wiley & Sons, Inc.\nDuda, R. O., & Hart, P. E. (1973). ",
 StyleBox["Pattern classification and scene  analysis",
  FontVariations->{"Underline"->True}],
 " . New York.: John Wiley & Sons.\nGolden, R. (1988). A unified framework \
for connectionist systems. ",
 StyleBox["Biological Cybernetics",
  FontVariations->{"Underline"->True}],
 ", ",
 StyleBox["59",
  FontVariations->{"Underline"->True}],
 ", 109-120.\nIntrator, N.\[NonBreakingSpace] ",
 StyleBox["Combining Exploratory Projection Pursuit and Projection Pursuit \
Regression",
  FontVariations->{"Underline"->True},
  FontColor->RGBColor[0, 0, 1]],
 ".\[NonBreakingSpace] Neural Computation (5):443-455, 1993. \
http://www.physics.brown.edu/users/faculty/intrator/papers/epp-ppr.ps.gz\n\
Kersten, D. and P.W. Schrater (2000), ",
 StyleBox["Pattern Inference Theory: A Probabilistic Approach to Vision",
  FontSlant->"Italic"],
 ", in ",
 StyleBox["Perception and the Physical World",
  FontSlant->"Italic"],
 ", R. Mausfeld and D. Heyer, Editors. , John Wiley & Sons, Ltd.: Chichester. \
(",
 ButtonBox["pdf",
  BaseStyle->"Hyperlink",
  ButtonData:>{
    URL["http://vision.psych.umn.edu/www/kersten-lab/papers/KerSch99.pdf"], 
    None}],
 ")\nKersten, D., Mamassian P & Yuille A (in press) Object perception as \
Bayesian inference. Annual Review of Psychology. ",
 ButtonBox["(pdf, \
http://arjournals.annualreviews.org/doi/pdf/10.1146/annurev.psych.55.090902.\
142005",
  BaseStyle->"Hyperlink",
  ButtonData:>{
    URL["http://arjournals.annualreviews.org/doi/pdf/10.1146/annurev.psych.55.\
090902.142005"], None}],
 ")\nKersten, D., & Yuille, A. (2003). Bayesian models of object perception. \
Current Opinion in Neurobiology, 13(2) ",
 ButtonBox["http://gandalf.psych.umn.edu/~kersten/kersten-lab/papers/\
KerstenYuilleApr2003.pdf",
  BaseStyle->"Hyperlink",
  ButtonData:>{
    URL["http://gandalf.psych.umn.edu/~kersten/kersten-lab/papers/\
KerstenYuilleApr2003.pdf"], None}],
 "\nRipley, B. D. (1996). ",
 StyleBox["Pattern Recognition and Neural Networks",
  FontSlant->"Italic"],
 ". Cambridge, UK: Cambridge University Press.\nYuille, A., Coughlan J., \
Kersten D.(1998) (",
 ButtonBox["pdf",
  BaseStyle->"Hyperlink",
  ButtonData:>{
    URL["http://vision.psych.umn.edu/www/kersten-lab/papers/yuicouker98.pdf"],
     None}],
 ")"
}], "Text",
 Evaluatable->False,
 AspectRatioFixed->True]
}, Closed]],

Cell["\<\
\[Copyright] 2000, 2001, 2003,2005, 2007  Daniel Kersten, Computational \
Vision Lab, Department of Psychology,  University of Minnesota.\
\>", "Copyright"]
},
AutoGeneratedPackage->Automatic,
ScreenStyleEnvironment->"Working",
WindowToolbars->"EditBar",
CellGrouping->Manual,
WindowSize->{1093, 871},
WindowMargins->{{63, Automatic}, {Automatic, 0}},
DockedCells->(FrontEndExecute[{
   FrontEnd`NotebookApply[
    FrontEnd`InputNotebook[], #, Placeholder]}]& ),
PrintingCopies->1,
PrintingPageRange->{1, Automatic},
PrivateNotebookOptions->{"ColorPalette"->{RGBColor, 128}},
ShowSelection->True,
ShowCellLabel->True,
ShowCellTags->False,
RenderingOptions->{"ObjectDithering"->True,
"RasterDithering"->False},
CharacterEncoding->"MacintoshAutomaticEncoding",
Magnification->1,
FrontEndVersion->"6.0 for Mac OS X x86 (32-bit) (June 19, 2007)",
StyleDefinitions->"Classroom.nb"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "S6.7.1"->{
  Cell[14857, 441, 153, 6, 83, "Input",
   CellTags->"S6.7.1"],
  Cell[15013, 449, 1276, 41, 78, "Output",
   CellTags->"S6.7.1"],
  Cell[89274, 1726, 326, 11, 40, "MathCaption",
   CellTags->{"S6.7.1", "1.11"}],
  Cell[156321, 2873, 183, 5, 57, "Input",
   CellTags->"S6.7.1"],
  Cell[277513, 5020, 207, 7, 96, "Input",
   CellTags->"S6.7.1"]},
 "1.11"->{
  Cell[89274, 1726, 326, 11, 40, "MathCaption",
   CellTags->{"S6.7.1", "1.11"}]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"S6.7.1", 752735, 15097},
 {"1.11", 753092, 15108}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[568, 21, 176, 7, 97, "Subtitle",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[769, 32, 59, 0, 33, "Subsubsection"],
Cell[831, 34, 110, 3, 44, "Input"],
Cell[944, 39, 80, 2, 44, "Input"]
}, Closed]],
Cell[CellGroupData[{
Cell[1061, 46, 28, 0, 31, "Section"],
Cell[1092, 48, 104, 3, 61, "Subsection"]
}, Closed]],
Cell[CellGroupData[{
Cell[1233, 56, 24, 0, 31, "Section"],
Cell[1260, 58, 186, 5, 101, "Subsection"]
}, Closed]],
Cell[CellGroupData[{
Cell[1483, 68, 129, 2, 31, "Section"],
Cell[1615, 72, 3588, 144, 53, "Text"],
Cell[5206, 218, 256, 5, 37, "Text"],
Cell[5465, 225, 126, 3, 22, "Text"],
Cell[5594, 230, 2739, 47, 65, "Graphics",
 Evaluatable->False],
Cell[8336, 279, 3570, 62, 33, "Graphics",
 Evaluatable->False],
Cell[11909, 343, 533, 17, 26, "Text"],
Cell[12445, 362, 345, 6, 64, "Text"],
Cell[12793, 370, 101, 1, 22, "Text"],
Cell[12897, 373, 247, 8, 42, "Text"],
Cell[13147, 383, 85, 1, 22, "Text"],
Cell[13235, 386, 239, 8, 44, "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell[13511, 399, 142, 4, 31, "Section"],
Cell[CellGroupData[{
Cell[13678, 407, 40, 0, 33, "Subsubsection"],
Cell[13721, 409, 88, 1, 44, "Input"],
Cell[13812, 412, 1020, 25, 24, "Text"],
Cell[CellGroupData[{
Cell[14857, 441, 153, 6, 83, "Input",
 CellTags->"S6.7.1"],
Cell[15013, 449, 1276, 41, 78, "Output",
 CellTags->"S6.7.1"]
}, Closed]],
Cell[CellGroupData[{
Cell[16326, 495, 434, 14, 44, "Input"],
Cell[16763, 511, 72496, 1212, 212, 58237, 977, "CachedBoxData", "BoxData", \
"Output"]
}, Closed]],
Cell[89274, 1726, 326, 11, 40, "MathCaption",
 CellTags->{"S6.7.1", "1.11"}],
Cell[CellGroupData[{
Cell[89625, 1741, 899, 26, 75, "Input"],
Cell[90527, 1769, 65757, 1099, 212, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[156321, 2873, 183, 5, 57, "Input",
 CellTags->"S6.7.1"],
Cell[156507, 2880, 54557, 909, 228, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[211101, 3794, 145, 4, 44, "Input"],
Cell[211249, 3800, 75, 1, 44, "Output"]
}, Closed]],
Cell[211339, 3804, 887, 27, 112, "Input"],
Cell[CellGroupData[{
Cell[212251, 3835, 700, 21, 75, "Input"],
Cell[212954, 3858, 660, 20, 60, "Input"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[213663, 3884, 1130, 34, 75, "Input"],
Cell[214796, 3920, 61347, 1036, 212, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[276180, 4961, 41, 0, 33, "Subsubsection"],
Cell[CellGroupData[{
Cell[276246, 4965, 359, 12, 44, "Input"],
Cell[276608, 4979, 279, 8, 44, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[276936, 4993, 40, 0, 33, "Subsubsection"],
Cell[276979, 4995, 86, 2, 22, "Text"],
Cell[CellGroupData[{
Cell[277090, 5001, 67, 1, 44, "Input"],
Cell[277160, 5004, 142, 4, 44, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[277351, 5014, 78, 0, 33, "Subsubsection"],
Cell[277432, 5016, 78, 2, 44, "Input"],
Cell[277513, 5020, 207, 7, 96, "Input",
 CellTags->"S6.7.1"],
Cell[277723, 5029, 91, 1, 44, "Input"],
Cell[CellGroupData[{
Cell[277839, 5034, 508, 15, 44, "Input"],
Cell[278350, 5051, 123554, 2051, 329, "Output"]
}, Closed]],
Cell[401919, 7105, 46, 0, 33, "Subsubsection"],
Cell[401968, 7107, 347, 11, 24, "NumberedEquation"],
Cell[402318, 7120, 922, 28, 75, "Input"],
Cell[403243, 7150, 471, 14, 44, "Input"],
Cell[403717, 7166, 922, 28, 75, "Input"],
Cell[404642, 7196, 505, 15, 44, "Input"],
Cell[CellGroupData[{
Cell[405172, 7215, 1183, 35, 75, "Input"],
Cell[406358, 7252, 142734, 2376, 231, "Output"]
}, Closed]],
Cell[549107, 9631, 138, 4, 49, "Text"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[549294, 9641, 95, 2, 31, "Section",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[549414, 9647, 78, 0, 33, "Subsubsection"],
Cell[CellGroupData[{
Cell[549517, 9651, 929, 13, 82, "Text"],
Cell[550449, 9666, 19476, 300, 161, "Graphics"],
Cell[569928, 9968, 516, 8, 52, "Text"],
Cell[570447, 9978, 229, 6, 103, "Text"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[570725, 9990, 54, 0, 33, "Subsubsection"],
Cell[570782, 9992, 244, 4, 37, "Text"],
Cell[571029, 9998, 44571, 687, 200, "Graphics"],
Cell[615603, 10687, 1619, 28, 148, "Text"],
Cell[617225, 10717, 1080, 15, 109, "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell[618342, 10737, 120, 3, 25, "Subsubsection"],
Cell[618465, 10742, 98, 2, 22, "Text"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[618612, 10750, 141, 5, 31, "Section"],
Cell[618756, 10757, 141, 3, 22, "Text"],
Cell[618900, 10762, 9683, 161, 131, "Graphics",
 Evaluatable->False],
Cell[628586, 10925, 65, 0, 22, "Text"],
Cell[628654, 10927, 142, 3, 49, "Text"],
Cell[CellGroupData[{
Cell[628821, 10934, 76, 0, 41, "Subsection"],
Cell[628900, 10936, 59, 0, 22, "Text"],
Cell[CellGroupData[{
Cell[628984, 10940, 637, 20, 60, "Input"],
Cell[629624, 10962, 958, 29, 93, "Output"]
}, Closed]],
Cell[630597, 10994, 112, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[630734, 11003, 1378, 40, 60, "Input"],
Cell[632115, 11045, 1254, 39, 111, "Output"]
}, Closed]],
Cell[633384, 11087, 32, 0, 22, "Text"],
Cell[CellGroupData[{
Cell[633441, 11091, 831, 26, 60, "Input"],
Cell[634275, 11119, 1256, 39, 112, "Output"]
}, Closed]],
Cell[635546, 11161, 90, 2, 22, "Text"],
Cell[635639, 11165, 220, 7, 72, "Input"],
Cell[635862, 11174, 293, 6, 37, "Text"],
Cell[CellGroupData[{
Cell[636180, 11184, 31, 0, 33, "Subsubsection"],
Cell[636214, 11186, 19, 0, 26, "Text"],
Cell[CellGroupData[{
Cell[636258, 11190, 1208, 37, 43, "Input"],
Cell[637469, 11229, 1256, 39, 70, "Output"],
Cell[638728, 11270, 1266, 39, 70, "Output"]
}, Closed]]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[640055, 11316, 138, 3, 41, "Subsection"],
Cell[640196, 11321, 385, 6, 37, "Text"],
Cell[640584, 11329, 456, 9, 145, "Text"],
Cell[641043, 11340, 145, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[641213, 11349, 1477, 44, 60, "Input"],
Cell[642693, 11395, 1264, 39, 111, "Output"]
}, Closed]],
Cell[643972, 11437, 130, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[644127, 11446, 1438, 42, 60, "Input"],
Cell[645568, 11490, 1265, 39, 112, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[646882, 11535, 49, 0, 41, "Subsection"],
Cell[646934, 11537, 416, 8, 56, "Text"],
Cell[647353, 11547, 2297, 105, 27, "Input"],
Cell[649653, 11654, 616, 16, 58, "Text"],
Cell[650272, 11672, 639, 23, 56, "Input"]
}, Closed]],
Cell[CellGroupData[{
Cell[650948, 11700, 37, 0, 25, "Subsection"],
Cell[650988, 11702, 115, 3, 22, "Text"],
Cell[CellGroupData[{
Cell[651128, 11709, 50, 0, 33, "Subsubsection"],
Cell[651181, 11711, 197, 6, 44, "Input"]
}, Closed]],
Cell[CellGroupData[{
Cell[651415, 11722, 84, 1, 33, "Subsubsection"],
Cell[651502, 11725, 470, 9, 56, "Text"],
Cell[CellGroupData[{
Cell[651997, 11738, 656, 23, 27, "Input",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],
Cell[CellGroupData[{
Cell[652678, 11765, 1051, 30, 73, "Input",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],
Cell[653732, 11797, 1322, 40, 70, "Output",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],
Cell[655057, 11839, 133, 3, 70, "Output",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}],
Cell[655193, 11844, 588, 16, 70, "Output",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}]
}, Closed]],
Cell[655796, 11863, 79, 1, 21, "Input",
 CellGroupingRules->{GroupTogetherGrouping, 10000.}]
}, Closed]],
Cell[655890, 11867, 524, 14, 53, "Text"],
Cell[CellGroupData[{
Cell[656439, 11885, 1330, 45, 73, "Input"],
Cell[657772, 11932, 1272, 39, 70, "Output"],
Cell[659047, 11973, 82, 2, 70, "Output"],
Cell[659132, 11977, 535, 15, 70, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[659704, 11997, 160, 5, 19, "Subsubsection"],
Cell[CellGroupData[{
Cell[659889, 12006, 269, 8, 43, "Input"],
Cell[660161, 12016, 501, 11, 70, "Message"],
Cell[660665, 12029, 125, 3, 70, "Output"],
Cell[660793, 12034, 83, 2, 70, "Output"]
}, Closed]]
}, Closed]],
Cell[660903, 12040, 201, 3, 23, "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell[661141, 12048, 65, 0, 25, "Subsubsection"],
Cell[661209, 12050, 301, 5, 41, "Text"],
Cell[661513, 12057, 334, 12, 31, "Text"],
Cell[661850, 12071, 465, 16, 55, "Input"],
Cell[CellGroupData[{
Cell[662340, 12091, 780, 24, 58, "Input"],
Cell[663123, 12117, 1328, 37, 70, "Output"],
Cell[664454, 12156, 507, 14, 70, "Output"],
Cell[664964, 12172, 74, 2, 70, "Output"]
}, Closed]],
Cell[665053, 12177, 90, 2, 26, "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell[665180, 12184, 67, 0, 25, "Subsubsection"],
Cell[665250, 12186, 275, 5, 41, "Text"],
Cell[665528, 12193, 29, 0, 26, "Text"],
Cell[665560, 12195, 465, 16, 56, "Input"],
Cell[CellGroupData[{
Cell[666050, 12215, 780, 24, 58, "Input"],
Cell[666833, 12241, 1328, 37, 70, "Output"],
Cell[668164, 12280, 507, 14, 70, "Output"],
Cell[668674, 12296, 74, 2, 70, "Output"]
}, Closed]],
Cell[668763, 12301, 193, 4, 41, "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell[668993, 12310, 174, 4, 25, "Subsubsection"],
Cell[669170, 12316, 108, 3, 26, "Text"]
}, Closed]]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[669339, 12326, 69, 0, 31, "Section"],
Cell[669411, 12328, 775, 14, 94, "Text"],
Cell[670189, 12344, 158, 3, 33, "Subsubsection"],
Cell[670350, 12349, 237, 7, 24, "Text"],
Cell[670590, 12358, 540, 16, 36, "NumberedEquation"],
Cell[671133, 12376, 154, 4, 44, "Input"],
Cell[671290, 12382, 100, 2, 22, "Text"],
Cell[671393, 12386, 129, 3, 24, "NumberedEquation"],
Cell[671525, 12391, 459, 9, 37, "Text"],
Cell[CellGroupData[{
Cell[672009, 12404, 279, 7, 60, "Input"],
Cell[672291, 12413, 424, 14, 91, "Output"]
}, Closed]],
Cell[672730, 12430, 631, 22, 37, "Text"],
Cell[673364, 12454, 651, 23, 40, "NumberedEquation"],
Cell[674018, 12479, 167, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[674210, 12488, 107, 3, 44, "Input"],
Cell[674320, 12493, 419, 15, 86, "Output"]
}, Closed]],
Cell[674754, 12511, 786, 31, 22, "Text"],
Cell[CellGroupData[{
Cell[675565, 12546, 385, 12, 44, "Input"],
Cell[675953, 12560, 1130, 36, 89, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[677120, 12601, 61, 0, 33, "Subsubsection"],
Cell[677184, 12603, 408, 13, 22, "Text"],
Cell[CellGroupData[{
Cell[677617, 12620, 888, 27, 105, "Input"],
Cell[678508, 12649, 1130, 37, 69, "Output"],
Cell[679641, 12688, 545, 18, 68, "Output"],
Cell[680189, 12708, 721, 22, 70, "Output"]
}, Closed]],
Cell[680925, 12733, 72, 0, 22, "Text"],
Cell[681000, 12735, 595, 20, 60, "NumberedEquation"],
Cell[681598, 12757, 62, 0, 22, "Text"],
Cell[681663, 12759, 158, 3, 35, "Exercise"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[681870, 12768, 29, 0, 31, "Section"],
Cell[CellGroupData[{
Cell[681924, 12772, 162, 5, 41, "Subsection"],
Cell[CellGroupData[{
Cell[682111, 12781, 50, 0, 33, "Subsubsection"],
Cell[682164, 12783, 235, 6, 41, "Text"],
Cell[CellGroupData[{
Cell[682424, 12793, 58, 3, 40, "Input"],
Cell[682485, 12798, 922, 28, 70, "Output"],
Cell[683410, 12828, 163, 5, 70, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[683610, 12838, 20, 0, 27, "Input"],
Cell[683633, 12840, 1282, 40, 70, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[684964, 12886, 95, 2, 25, "Subsubsection"],
Cell[CellGroupData[{
Cell[685084, 12892, 125, 3, 27, "Input"],
Cell[685212, 12897, 184, 6, 70, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[685433, 12908, 52, 1, 27, "Input"],
Cell[685488, 12911, 82, 2, 70, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[685619, 12919, 79, 0, 25, "Subsubsection"],
Cell[685701, 12921, 598, 18, 56, "Text"],
Cell[CellGroupData[{
Cell[686324, 12943, 140, 4, 27, "Input"],
Cell[686467, 12949, 82, 2, 70, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[686586, 12956, 258, 8, 27, "Input"],
Cell[686847, 12966, 234, 7, 70, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[687130, 12979, 114, 3, 25, "Subsubsection"],
Cell[CellGroupData[{
Cell[687269, 12986, 380, 13, 27, "Input"],
Cell[687652, 13001, 712, 22, 70, "Output"]
}, Closed]]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[688425, 13030, 229, 8, 25, "Subsection",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[688679, 13042, 53, 0, 25, "Subsubsection"],
Cell[688735, 13044, 364, 9, 41, "Text"],
Cell[689102, 13055, 86, 2, 26, "Text"],
Cell[689191, 13059, 119, 3, 26, "Text"],
Cell[689313, 13064, 273, 10, 77, "Input"],
Cell[689589, 13076, 133, 3, 26, "Text"],
Cell[CellGroupData[{
Cell[689747, 13083, 370, 13, 47, "Input"],
Cell[690120, 13098, 714, 22, 70, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[690871, 13125, 358, 10, 44, "Input"],
Cell[691232, 13137, 1378, 43, 70, "Output"]
}, Closed]],
Cell[692625, 13183, 315, 8, 37, "Text"],
Cell[CellGroupData[{
Cell[692965, 13195, 35, 0, 44, "Input"],
Cell[693003, 13197, 56, 1, 70, "Output"]
}, Closed]],
Cell[693074, 13201, 61, 0, 22, "Text"],
Cell[CellGroupData[{
Cell[693160, 13205, 77, 2, 44, "Input"],
Cell[693240, 13209, 184, 6, 70, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[693461, 13220, 183, 6, 65, "Input"],
Cell[693647, 13228, 184, 6, 70, "Output"]
}, Closed]],
Cell[693846, 13237, 185, 4, 22, "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell[694068, 13246, 38, 0, 33, "Subsubsection"],
Cell[694109, 13248, 223, 7, 22, "Text",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[694357, 13259, 119, 3, 44, "Input"],
Cell[694479, 13264, 183, 6, 70, "Output"]
}, Closed]],
Cell[694677, 13273, 314, 9, 37, "Text"],
Cell[694994, 13284, 144, 4, 22, "Text",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[695163, 13292, 162, 4, 44, "Input"],
Cell[695328, 13298, 149, 5, 70, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[695526, 13309, 37, 0, 33, "Subsubsection"],
Cell[695566, 13311, 210, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[695801, 13320, 250, 8, 67, "Input"],
Cell[696054, 13330, 656, 13, 70, "Message"],
Cell[696713, 13345, 1555, 46, 70, "Output"]
}, Closed]],
Cell[698283, 13394, 185, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[698493, 13403, 85, 2, 44, "Input"],
Cell[698581, 13407, 712, 22, 70, "Output"]
}, Closed]],
Cell[699308, 13432, 413, 13, 37, "Text"],
Cell[CellGroupData[{
Cell[699746, 13449, 250, 8, 67, "Input"],
Cell[699999, 13459, 656, 13, 70, "Message"],
Cell[700658, 13474, 1555, 46, 70, "Output"]
}, Closed]],
Cell[702228, 13523, 270, 5, 37, "Text"],
Cell[CellGroupData[{
Cell[702523, 13532, 160, 4, 44, "Input"],
Cell[702686, 13538, 712, 22, 70, "Output"]
}, Closed]],
Cell[703413, 13563, 71, 0, 23, "Text"],
Cell[703487, 13565, 294, 8, 22, "Text"],
Cell[CellGroupData[{
Cell[703806, 13577, 223, 5, 44, "Input"],
Cell[704032, 13584, 2261, 62, 70, "Output"]
}, Closed]]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[706354, 13653, 198, 7, 25, "Subsection",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[706577, 13664, 53, 0, 33, "Subsubsection"],
Cell[706633, 13666, 364, 9, 37, "Text"],
Cell[707000, 13677, 86, 2, 22, "Text"],
Cell[707089, 13681, 119, 3, 22, "Text"],
Cell[707211, 13686, 273, 10, 94, "Input"],
Cell[707487, 13698, 133, 3, 22, "Text"],
Cell[CellGroupData[{
Cell[707645, 13705, 1105, 30, 60, "Input"],
Cell[708753, 13737, 669, 12, 70, "Message"]
}, Closed]],
Cell[CellGroupData[{
Cell[709459, 13754, 610, 18, 44, "Input"],
Cell[710072, 13774, 5858, 169, 70, "Output"]
}, Closed]],
Cell[715945, 13946, 315, 8, 37, "Text"],
Cell[CellGroupData[{
Cell[716285, 13958, 261, 8, 44, "Input"],
Cell[716549, 13968, 4613, 134, 70, "Output"]
}, Closed]],
Cell[721177, 14105, 61, 0, 22, "Text"],
Cell[CellGroupData[{
Cell[721263, 14109, 194, 6, 44, "Input"],
Cell[721460, 14117, 2426, 69, 70, "Output"]
}, Closed]],
Cell[723901, 14189, 185, 4, 22, "Text"]
}, Closed]],
Cell[CellGroupData[{
Cell[724123, 14198, 38, 0, 33, "Subsubsection"],
Cell[724164, 14200, 223, 7, 22, "Text",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[724412, 14211, 276, 9, 44, "Input"],
Cell[724691, 14222, 486, 10, 70, "Message"]
}, Closed]],
Cell[CellGroupData[{
Cell[725214, 14237, 170, 5, 44, "Input"],
Cell[725387, 14244, 632, 22, 70, "Output"]
}, Closed]],
Cell[726034, 14269, 314, 9, 37, "Text"],
Cell[726351, 14280, 144, 4, 22, "Text",
 Evaluatable->False],
Cell[CellGroupData[{
Cell[726520, 14288, 276, 9, 44, "Input"],
Cell[726799, 14299, 479, 10, 70, "Message"]
}, Closed]],
Cell[CellGroupData[{
Cell[727315, 14314, 170, 5, 44, "Input"],
Cell[727488, 14321, 376, 14, 70, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[727913, 14341, 37, 0, 33, "Subsubsection"],
Cell[727953, 14343, 210, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[728188, 14352, 250, 8, 67, "Input"],
Cell[728441, 14362, 656, 13, 70, "Message"],
Cell[729100, 14377, 1555, 46, 70, "Output"]
}, Closed]],
Cell[730670, 14426, 174, 5, 22, "Text"],
Cell[CellGroupData[{
Cell[730869, 14435, 237, 8, 44, "Input"],
Cell[731109, 14445, 667, 12, 70, "Message"]
}, Closed]],
Cell[CellGroupData[{
Cell[731813, 14462, 265, 8, 44, "Input"],
Cell[732081, 14472, 5512, 154, 70, "Output"]
}, Closed]],
Cell[737608, 14629, 413, 13, 37, "Text"],
Cell[CellGroupData[{
Cell[738046, 14646, 250, 8, 67, "Input"],
Cell[738299, 14656, 656, 13, 70, "Message"],
Cell[738958, 14671, 1555, 46, 70, "Output"]
}, Closed]],
Cell[CellGroupData[{
Cell[740550, 14722, 237, 8, 44, "Input"],
Cell[740790, 14732, 667, 12, 70, "Message"]
}, Closed]],
Cell[CellGroupData[{
Cell[741494, 14749, 270, 8, 27, "Input"],
Cell[741767, 14759, 5512, 154, 70, "Output"]
}, Closed]],
Cell[747294, 14916, 71, 0, 27, "Text"],
Cell[747368, 14918, 135, 7, 26, "Text"],
Cell[CellGroupData[{
Cell[747528, 14929, 312, 9, 27, "Input"],
Cell[747843, 14940, 257, 9, 379, "Output"]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[748149, 14955, 129, 3, 33, "Subsubsection"],
Cell[748281, 14960, 41, 0, 22, "Text"],
Cell[748325, 14962, 232, 8, 134, "SmallText"],
Cell[748560, 14972, 316, 10, 172, "SmallText"]
}, Closed]]
}, Closed]]
}, Closed]],
Cell[CellGroupData[{
Cell[748937, 14989, 117, 3, 31, "Section",
 Evaluatable->False],
Cell[749057, 14994, 2665, 68, 280, "Text",
 Evaluatable->False]
}, Closed]],
Cell[751737, 15065, 166, 3, 54, "Copyright"]
}
]
*)

(* End of internal cache information *)