(***********************************************************************

                    Mathematica-Compatible Notebook

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Notebook[{
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[{
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[
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    Do[\n\teigenarrays[\([a]\)] = 
        eigenarrays[\([a]\)]/eigenexpressions[\([a]\)], \n\t{a, 1, arrays}]; 
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    genecorrelations = Dot[eigenarrays, DiagonalMatrix[eigenexpressions]]; \n
    genecorrelations = Transpose[genecorrelations]; \n
    fractions = 
      eigenexpressions^2/Sum[eigenexpressions[\([a]\)]^2, {a, 1, arrays}]; \n
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Cell[BoxData[
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Cell[BoxData[
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          Text[a, {b, c + 1.5}, {0, 0}, {0, 1}]; \n
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Cell[BoxData[
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    framex = Table[{gridx[\([a]\)], \n\t\t\tframex[\([a]\)]}, {a, 1, 6}]; \n
    gridx = Table[{gridx[\([a]\)], RGBColor[0, 0, 0]}, {a, 1, 6}]; \n
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Cell[BoxData[
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          Text[labely, {b - 2, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
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          Text[labelx, {b, c + 2}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
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        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.8}, {0, 0}, {0, 1}]; \n
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Cell[BoxData[
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Cell[BoxData[
    StyleBox[\( (*\ and\ Remove\ the\ Additive\ Constant\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
    StyleBox[\( (*\ Reconstruct\ Data\ Without\ Additive\ Constant\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(eigenexpressions[\([1]\)] = 0; \n
    matrix = Dot[eigenarrays, DiagonalMatrix[eigenexpressions], eigengenes]; 
    \)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    StyleBox[\( (*\ Remove\ the\ Multiplicative\ Constant\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
    StyleBox[\( (*\ Calculate\ Singular\ Value\ Decomposition\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[
    \(normalization = Log[matrix^2]; \n
    correlation = 
      Dot[Transpose[normalization], normalization]/\((arrays - 1)\); 
    \n{eigenexpressions, eigengenes} = Eigensystem[correlation]; \n
    eigenexpressions = Sqrt[\((arrays - 1)\)*eigenexpressions]; \n
    Clear[correlation]; \neigengenes[\([2]\)] = \(-eigengenes[\([2]\)]\); \n
    eigenarrays = Dot[eigengenes, Transpose[normalization]]; \n
    Do[\n\teigenarrays[\([a]\)] = 
        eigenarrays[\([a]\)]/eigenexpressions[\([a]\)], \n\t{a, 1, arrays}]; 
    \neigenarrays = Transpose[eigenarrays]; \n
    fractions = 
      eigenexpressions^2/Sum[eigenexpressions[\([a]\)]^2, {a, 1, arrays}]; \n
    entropy = 
      \(-N[Sum[fractions[\([a]\)]*Log[fractions[\([a]\)]], {a, 1, arrays}]/
            Log[arrays]]\); \nentropy = N[Round[100*entropy]/100]\)], "Input",\

  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.310000000000000008`\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
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  PageBreakAbove->False,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[
    \(fractions[\([2]\)]\)], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.0178904302430819894`\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
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Cell[BoxData[
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    sizes = Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tToString[framex[\([a]\)]]\n\t\t\t\t]\n
            \t\t\t], {a, 1, 5}]]; \n
    Do[\n\tDo[
        framex[\([a]\)] = StringJoin[ToString[framex[\([a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, 5 - sizes[\([a]\)]}], \n\ \ \ \ \t{a, 1, 5}]; 
    \nframex = Table[{gridx[\([a]\)], framex[\([a]\)]}, {a, 1, 5}]; \n
    gridx = Table[{gridx[\([a]\)], RGBColor[0, 0, 0]}, {a, 1, 5}]; \n
    framey = Table[{a + 1, arrays - a}, {a, 0, arrays - 2}]; \n
    table = Table[fractions[\([arrays - a]\)], {a, 0, arrays - 2}]; \n
    g = BarChart[\n\t\ttable, \n\t\tBarOrientation -> Horizontal, \n\t\t
        PlotRange -> {{0, limit*1.0001}, {0.5, arrays - 1 + 0.5}}, \n\t\t
        AspectRatio -> 1, \n\t\tAxes -> False, \n\t\tFrame -> True, \n\t\t
        FrameTicks -> {None, framey, framex, None}, \n\t\t
        FrameLabel -> {None, None, None, None}, \t\t\n\t\t
        GridLines -> {gridx, None}, \n\t\tDisplayFunction -> Identity]; \n
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      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 2}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> 1.25, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
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            Characters[\n\t\t\t\t\tToString[framex[\([a]\)]]\n\t\t\t\t]\n
            \t\t\t], {a, 1, 6}]]; \n
    Do[\n\tDo[
        framex[\([a]\)] = StringJoin[ToString[framex[\([a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, size - sizes[\([a]\)]}], \n
      \ \ \ \ \t{a, 1, 6}]; \n
    framex = Table[{gridx[\([a]\)], \n\t\t\tframex[\([a]\)]}, {a, 1, 6}]; \n
    gridx = Table[{gridx[\([a]\)], RGBColor[0, 0, 0]}, {a, 1, 6}]; \n
    framey = Table[{a + 1, arrays - a}, {a, 0, arrays - 1}]; \n
    labelx = ColumnForm[\n
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          StringJoin["\<d = \>", ToString[entropy]], "\< \>"}, Center]; \n
    g = BarChart[\n\t\t
        Table[fractions[\([arrays - a]\)], {a, 0, arrays - 1}], \n\t\t
        BarOrientation -> Horizontal, \n\t\t
        PlotRange -> {{0, 1.0001}, {0.5, arrays + 0.5}}, \n\t\t
        AspectRatio -> 1, \n\t\tAxes -> False, \n\t\tFrame -> True, \n\t\t
        FrameTicks -> {None, framey, framex, None}, \n\t\t
        FrameLabel -> {None, None, labelx, None}, \n\t\t
        GridLines -> {gridx, None}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 2}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.8}, {0, 0}, {0, 1}]; \n
    g2 = Show[{g, \n\t\t\t
          Graphics[{RGBColor[1, 1, 0.8], Rectangle[{0.1, 0.6}, {0.98, 13}]}], 
          \n\t\t\tGraphics[{Rectangle[{0.1, 0.6}, {0.98, 13}, g1]}]}, \n\t
        AspectRatio -> 1.35, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ \(Create\ Eigengenes\ 2  D\ Red\ &\)\ Green\ Raster\ Display\ *) 
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  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
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    displaying = 
      Table[\n\t\t
        If[contrast*eigengenes[\([i, j]\)] > 0, \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] < 1, {
              contrast*eigengenes[\([i, j]\)], 0}, {1, 0}], \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] > \(-1\), {0, 
              \(-contrast\)*eigengenes[\([i, j]\)]}, {0, 1}]], \n
        \t\t{i, 1, arrays}, {j, 1, arrays}]; \n
    framex = Table[{a - 0.5, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = Table[{a + 1 - 0.5, arrays - a}, {a, 0, arrays - 1}]; \n
    labely = "\<Eigengenes\>"; \n
    labelx = ColumnForm[{"\<(a) Arrays\>", "\< \>", "\< \>"}, Center]; \n
    g = Show[\n\t
        Graphics[\n\t\t
          RasterArray[\n\t\t\t
            Table[\n\t\t\t\t
              RGBColor[\n\t\t\t\t\tdisplaying[\([i, j, 1]\)], 
                displaying[\([i, j, 2]\)], 0\n\t\t\t\t\t], \n
              \t\t\t\t{i, arrays, 1, \(-1\)}, {j, 1, arrays}\n\t\t\t]]], \n\t
        AspectRatio -> 1, Frame -> True, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        DisplayFunction -> Identity]; \ng = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b - 2, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 2}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.8}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> 1.05, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ \(Display\ Both\ Eigengenes\ &\)\ Fractions\ *) \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[
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Cell[BoxData[
    StyleBox[
      \( (*\ Reconstruct\ the\ Data\ Without\ Multiplicative\ Constant\ *) 
        \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
    \(eigenexpressions[\([1]\)] = 0; \n
    normalization = 
      Dot[eigenarrays, DiagonalMatrix[eigenexpressions], eigengenes]; \n
    normalization = Sqrt[Exp[normalization]]; \nmatrix = Sign[matrix]; \n
    matrix = N[matrix*normalization]; \nClear[normalization]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    StyleBox[\( (*\ Examine\ Normalized\ Data\ *) \),
      FontColor->RGBColor[1, 0, 0]]], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False,
  Background->RGBColor[1, 1, 0]],

Cell[BoxData[
    StyleBox[\( (*\ Calculate\ Singular\ Value\ Decomposition\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[
    \(correlation = Dot[Transpose[matrix], matrix]/\((arrays - 1)\); 
    \n{eigenexpressions, eigengenes} = Eigensystem[correlation]; \n
    eigenexpressions = Sqrt[\((arrays - 1)\)*eigenexpressions]; \n
    Clear[correlation]; \neigengenes[\([1]\)] = \(-eigengenes[\([1]\)]\); \n
    eigenarrays = Dot[eigengenes, Transpose[matrix]]; \n
    Do[\n\teigenarrays[\([a]\)] = 
        eigenarrays[\([a]\)]/eigenexpressions[\([a]\)], \n\t{a, 1, arrays}]; 
    \neigenarrays = Transpose[eigenarrays]; \n
    arraycorrelations = Dot[DiagonalMatrix[eigenexpressions], eigengenes]; \n
    genecorrelations = Dot[eigenarrays, DiagonalMatrix[eigenexpressions]]; \n
    genecorrelations = Transpose[genecorrelations]; \n
    fractions = 
      eigenexpressions^2/Sum[eigenexpressions[\([a]\)]^2, {a, 1, arrays}]; \n
    entropy = 
      \(-N[Sum[fractions[\([a]\)]*Log[fractions[\([a]\)]], {a, 1, arrays}]/
            Log[arrays]]\); \nentropy = N[Round[100*entropy]/100]\)], "Input",\

  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.880000000000000071`\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    \( (*\ Create\ Fractions\ Bar\ Charts\ Displays\ *) \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[
    \(fractions[\([1]\)]\)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.223909699669849038`\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    \(\(limit = 0.25; \)\)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(Clear[gridx, framex, framey, sizes]; \n
    gridx = Table[a, {a, 0, limit, N[limit/5]}]; \nframex = gridx; \n
    sizes = Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tToString[framex[\([a]\)]]\n\t\t\t\t]\n
            \t\t\t], {a, 1, 6}]]; \n
    Do[\n\tDo[
        framex[\([a]\)] = StringJoin[ToString[framex[\([a]\)]], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, size - sizes[\([a]\)]}], \n
      \ \ \ \ \t{a, 1, 6}]; \n
    framex = Table[{gridx[\([a]\)], framex[\([a]\)]}, {a, 1, 6}]; \n
    framey = Table[{a + 1, arrays - a}, {a, 0, arrays - 1}]; \n
    labelx = ColumnForm[\n
        \t\t{"\<(b) Eigenexpression Fraction\>", 
          StringJoin["\<d = \>", ToString[entropy]], "\< \>"}, Center]; \n
    g = BarChart[\n\t\t
        Table[fractions[\([arrays - a]\)], {a, 0, arrays - 1}], \n\t\t
        BarOrientation -> Horizontal, \n\t\t
        PlotRange -> {{0, limit*1.0001}, {0.5, arrays + 0.5}}, \n\t\t
        AspectRatio -> 1, \n\t\tAxes -> False, \n\t\tFrame -> True, \n\t\t
        FrameTicks -> {None, framey, framex, None}, \n\t\t
        FrameLabel -> {None, None, labelx, None}, \t\t\n\t\t
        GridLines -> {gridx, None}, \n\t\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 2}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.8}, {0, 0}, {0, 1}]; \n
    g2 = Show[g, \n\tAspectRatio -> 1.35, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ \(Create\ Eigengenes\ 2  D\ Red\ &\)\ Green\ Raster\ Display\ *) 
      \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
    \(contrast = 3; \n
    displaying = 
      Table[\n\t\t
        If[contrast*eigengenes[\([i, j]\)] > 0, \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] < 1, {
              contrast*eigengenes[\([i, j]\)], 0}, {1, 0}], \n\t\t\t
          If[contrast*eigengenes[\([i, j]\)] > \(-1\), {0, 
              \(-contrast\)*eigengenes[\([i, j]\)]}, {0, 1}]], \n
        \t\t{i, 1, arrays}, {j, 1, arrays}]; \n
    framex = Table[{a - 0.5, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = Table[{a + 1 - 0.5, arrays - a}, {a, 0, arrays - 1}]; \n
    labely = "\<Eigengenes\>"; \n
    labelx = ColumnForm[{"\<(a) Arrays\>", "\< \>", "\< \>"}, Center]; \n
    g = Show[\n\t
        Graphics[\n\t\t
          RasterArray[\n\t\t\t
            Table[\n\t\t\t\t
              RGBColor[\n\t\t\t\t\tdisplaying[\([i, j, 1]\)], 
                displaying[\([i, j, 2]\)], 0\n\t\t\t\t\t], \n
              \t\t\t\t{i, arrays, 1, \(-1\)}, {j, 1, arrays}\n\t\t\t]]], \n\t
        AspectRatio -> 1, Frame -> True, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        DisplayFunction -> Identity]; \ng = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b - 2, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 2}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 1.8}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> 1.05, \n\tPlotRange -> All, \n\t
        DisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ Create\ Selected\ Eigengenes\ Graph\ Display\ *) \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(eigengenes1 = 
      Chop[TrigFit[eigengenes[\([1]\)], 2, {x, arrays - 1}], 0.12]\), 
    \(eigengenes2 = 
      Chop[TrigFit[eigengenes[\([2]\)], 2, {x, arrays - 1}], 0.1]\)}], "Input",\

  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(\(-0.133012267472258072`\)\ Cos[\(2\ \[Pi]\ x\)\/13] + 
      0.292161419717386792`\ Sin[\(2\ \[Pi]\ x\)\/13]\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \(0.304828725201924832`\ Cos[\(2\ \[Pi]\ x\)\/13] + 
      0.121684388273120691`\ Sin[\(2\ \[Pi]\ x\)\/13]\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    \(eigengenes1 = 0.39*Sin[2*Pi*\((x - 1)\)/13]; \n
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  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[
    \(graph = 
      Plot[\n\t\teigengenes1, \n\t\t{x, 0, arrays - 1}, \n\t\t
        PlotStyle -> {RGBColor[1, 0, 0], Dashing[{0.03, 0.02}]}, \n\t\t
        DisplayFunction -> Identity]; \n
    labelx = ColumnForm[{"\<(c) Arrays\>"}, Center]; \n
    labely = ColumnForm[{"\< \>", "\<Expression Level\>"}, Center]; \n
    framex = Table[{a - 1, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = {\(-1\), \(-0.5\), 0, 0.5, 1}; \n
    coordinates = Table[{a - 1, eigengenes[\([1, a]\)]}, \t{a, 1, arrays}]; \n
    points = Table[Point[coordinates[\([a]\)]], \t{a, 1, arrays}]; \n
    line = Line[coordinates]; \n
    g = Show[\n
        \t\t{Graphics[{RGBColor[1, 0, 0], PointSize[0.022], points}], \n\t\t\t
          Graphics[{RGBColor[1, 0, 0], line}], \n\t\t\tgraph, \n\t\t\t
          Graphics[{RGBColor[1, 0, 0], 
              Text[\*"\"\<\!\(\@\(2\/T\)\)sin(\!\(\(2  \
\[Pi]t\)\/T\)-\[Theta])\>\"", {8.5, 0.7}]}]}, \n\tFrame -> True, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        GridLines -> {None, {{0, RGBColor[0, 0, 0]}}}, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        PlotRange -> {\(-1.05\), 1.05}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b - 3.6, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 0.6}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 0.24}, {0, 0}, {0, 1}]; \n
    p1 = Show[g, \n\t\tAspectRatio -> 1.05, \n\t\tPlotRange -> All]; \)], 
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  PageBreakBelow->False],

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Cell[BoxData[
    StyleBox[
      \( (*\ Create\ Parameter\ Graphs\ of\ Arrays\ According\ to\ Projections
          \ on\ Eigenarrays\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(labelx = 
      ColumnForm[{
          \*"\"\<Array Correlation with \[VerticalSeparator]\!\(\[Alpha]\_2\)\
\[RightAngleBracket]\>\""}, Center]; \n
    labely = ColumnForm[{
          \*"\"\<Array Correlation with \[VerticalSeparator]\!\(\[Alpha]\_1\)\
\[RightAngleBracket]\>\""}, Center]; \nmatrix = Transpose[matrix]; \n
    coordinates = 
      Table[\n\t\t{
          arraycorrelations[\([2, a]\)]/
            Sqrt[Dot[matrix[\([a]\)], matrix[\([a]\)]]], \n\t\t\t
          arraycorrelations[\([1, a]\)]/
            Sqrt[Dot[matrix[\([a]\)], matrix[\([a]\)]]]}, \n
        \t\t{a, 1, arrays}]; \nmatrix = Transpose[matrix]; \n
    points1 = {Point[coordinates[\([1]\)]], Point[coordinates[\([2]\)]], 
        Point[coordinates[\([14]\)]]}; \n
    points2 = Table[Point[coordinates[\([a]\)]], {a, 3, 6}]; \n
    points3 = Table[Point[coordinates[\([a]\)]], {a, 7, 8}]; \n
    points4 = Table[Point[coordinates[\([a]\)]], {a, 9, 10}]; \n
    points5 = Table[Point[coordinates[\([a]\)]], {a, 11, 13}]; \n
    textcoordinates = coordinates; \n
    Do[textcoordinates[\([a, 1]\)] = \n\t\t
        If[textcoordinates[\([a, 1]\)] > 0, 
          textcoordinates[\([a, 1]\)] + 0.085, 
          textcoordinates[\([a, 1]\)] - 0.085], \n\t{a, 1, 9}]; \n
    Do[textcoordinates[\([a, 1]\)] = \n\t\t
        If[textcoordinates[\([a, 1]\)] > 0, 
          textcoordinates[\([a, 1]\)] + 0.11, 
          textcoordinates[\([a, 1]\)] - 0.11], \n\t{a, 10, arrays}]; \n
    textcoordinates[\([4]\)] = textcoordinates[\([4]\)] + {0, 0.02}; \n
    textcoordinates[\([8]\)] = textcoordinates[\([8]\)] + {0, \(-0.02\)}; \n
    textcoordinates[\([13]\)] = textcoordinates[\([13]\)] + {0.01, 0.04}; \n
    textcoordinates[\([14]\)] = textcoordinates[\([14]\)] + {0.085, 0.085}; \n
    texts = Table[Text[a, textcoordinates[\([a]\)]], {a, 1, arrays}]; \n
    zerophase = 
      N[ArcTan[arraycorrelations[\([1, 1]\)]/arraycorrelations[\([2, 1]\)]]]; 
    \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

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          \t\tGraphics[{RGBColor[0, 0, 1], PointSize[0.035], points3}], \n\t\t
          Graphics[{RGBColor[1, 0, 0], PointSize[0.035], points4}], \n\t\t
          Graphics[{RGBColor[1, 0.5, 0], PointSize[0.035], points5}], \n\t\t
          Graphics[{RGBColor[1, 0.5, 0], 
              Text["\<G2/M\>", {\(-0.6\), \(-0.95\)}]}], \n\t\t
          Graphics[{RGBColor[0, 0, 0], Text["\<M/G1\>", {0.8, \(-0.85\)}]}], 
          \n\t\tGraphics[{RGBColor[1, 0, 0], 
              Text["\<S/G2\>", {\(-0.875\), \(-0.75\)}]}], \n\t\t
          Graphics[{RGBColor[0, 0, 1], Text["\<S\>", {\(-0.95\), 0.5}]}], \n
          \t\tGraphics[{RGBColor[0, 0.5, 0], Text["\<G1\>", {0.55, 0.95}]}], 
          \n\t\tGraphics[{RGBColor[0, 0, 0], 
              Text["\<(a)\>", {\(-0.9\), 0.95}]}], \n\t\tGraphics[texts], \n
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              Circle[{0, 0}, 1]}], \n\t\t
          Graphics[{RGBColor[0, 0, 0], Dashing[{0.03, 0.02}], 
              Circle[{0, 0}, 0.5]}], \n\t\t
          Graphics[{RGBColor[0, 0, 0], 
              Circle[{0, 0}, 0.45, {zerophase, 0}]}], \n\t\t
          Graphics[{RGBColor[0, 0, 0], 
              Arrow[\n\t\t\t\t\t{0.45*Cos[\(-0.05\)], 0.45*Sin[\(-0.05\)]}, {
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                HeadLength -> 0.035, HeadWidth -> 0.75]}], \n\t\t
          Graphics[{RGBColor[0, 0, 0], 
              Circle[{0, 0}, 0.9, {zerophase, \(-2\)*zerophase}]}], \n\t\t
          Graphics[{RGBColor[0, 0, 0], 
              Arrow[\n\t\t\t\t\t\t{0.9*Cos[\(-2\)*zerophase - 0.05], 
                  0.9*Sin[\(-2\)*zerophase - 0.05]}, \n
                \t\t\t\t\t\t{0.9*Cos[\(-2\)*zerophase], 
                  0.9*Sin[\(-2\)*zerophase]}, \n\t\t\t\t\t\t
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          \n\t\tGraphics[{RGBColor[0, 0, 0], 
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              Sqrt[genecorrelations[\([1, a]\)]^2 + 
                  genecorrelations[\([2, a]\)]^2], \n\t\t\t
            N[ArcTan[
                  genecorrelations[\([1, a]\)]/genecorrelations[\([2, a]\)]]/
                Pi], \n\t\t\tradii[\([a]\)]}, \n\t\t{a, 1, genes}]\), ";", 
      "\n", \(sortmatrix = AppendRows[coordinates, genenames, matrix]\), ";", 
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      RowBox[{"sortmatrix", "=", 
        RowBox[{"Sort", "[", 
          RowBox[{"sortmatrix", ",", " ", 
            RowBox[{
              RowBox[{
                StyleBox["OrderedQ",
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                StyleBox["[",
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                RowBox[{"{", 
                  RowBox[{
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                    RowBox[{"{", 
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                  StyleBox["}",
                    "MR"]}], 
                StyleBox["]",
                  "MR"]}], 
              StyleBox["&",
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      "\n", \(positive1 = 3107\), ";", "\n", 
      \(sortmatrix[\([negative1, 1]\)]\)}], 
  \(sortmatrix[\([positive1, 1]\)]\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

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Cell[BoxData[
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Cell[BoxData[
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      \(sortmatrix = Transpose[Drop[Transpose[sortmatrix], {1}]]\), ";"}]], 
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  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ 
      \(Correct\ for\ the\ Phase\ &\)\ Calibrate\ According\ to\ the\ Initial
        \ Phase\ *) \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(Do[sortmatrix[\([a, 1]\)] = sortmatrix[\([a, 1]\)] - zerophase, \n
      \t{a, 1, negative1}]; \n
    Do[sortmatrix[\([a, 1]\)] = sortmatrix[\([a, 1]\)] + 1 - zerophase, \n
      \t{a, positive1, genes}]; \nnegative2 = 1322; \npositive2 = 1323; \n
    sortmatrix[\([negative2, 1]\)]\), 
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  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
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  PageBreakAbove->False],

Cell[BoxData[
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  PageBreakAbove->False]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(sortmatrix = 
      AppendColumns[\n\t\tTakeRows[sortmatrix, {positive2, genes}], \n\t\t
        TakeRows[sortmatrix, {1, negative2}]\n\t\t]; \npositive3 = 4659; \n
    negative3 = 4660; \nsortmatrix[\([positive3, 1]\)]\), 
    \(sortmatrix[\([negative3, 1]\)]\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(1.60308898653421705`\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \(\(-0.395832000830011807`\)\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    \(\(Do[sortmatrix[\([a, 1]\)] = sortmatrix[\([a, 1]\)] + 2, \n
      \t{a, negative3, genes}]; \)\)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    StyleBox[\( (*\ Reconstruct\ Data\ With\ Sorted\ Genes\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(matrix = TakeColumns[sortmatrix, {4, arrays + 3}]; \n
    eigenarrays = Dot[eigengenes, Transpose[matrix]]; \n
    Do[\n\teigenarrays[\([a]\)] = 
        eigenarrays[\([a]\)]/eigenexpressions[\([a]\)], \n\t{a, 1, arrays}]; 
    \neigenarrays = Transpose[eigenarrays]; \n
    arraycorrelations = Dot[DiagonalMatrix[eigenexpressions], eigengenes]; \n
    genecorrelations = Dot[eigenarrays, DiagonalMatrix[eigenexpressions]]; \n
    genecorrelations = Transpose[genecorrelations]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ Classify\ Gene\ Phases\ into\ Cell\ Cycle\ Phases\ *) \)], "Input",\

  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
    \(phases = TakeColumns[sortmatrix, {1, 1}]; \nph1 = \(-zerophase\); \n
    ph2 = 0.5 - zerophase; \nph3 = 1 - zerophase; \nph4 = 1.25 - zerophase; \n
    ph5 = 1.5 - zerophase; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[{
    \(endph5 = 260; \nbeginph1 = 261; \nphases[\([endph5]\)] - ph1\), 
    \(phases[\([beginph1]\)] - ph1\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \({\(-0.000367576684473333603`\)}\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \({0.000229067857660858464`}\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(endph1 = 1784; \nbeginph2 = 1785; \nphases[\([endph1]\)] - ph2\), 
    \(phases[\([beginph2]\)] - ph2\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \({\(-0.0000519194810771894665`\)}\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \({0.000528725008979158417`}\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(endph2 = 3128; \nbeginph3 = 3129; \nphases[\([endph2]\)] - ph3\), 
    \(phases[\([beginph3]\)] - ph3\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \({\(-0.00136338658343126972`\)}\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \({0.000154702758847546917`}\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(endph3 = 3816; \nbeginph4 = 3817; \nphases[\([endph3]\)] - ph4\), 
    \(phases[\([beginph4]\)] - ph4\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \({\(-0.000410390929827197936`\)}\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \({0.000773804774453212829`}\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
    \(endph4 = 4659; \nbeginph5 = 4660; \nphases[\([endph4]\)] - ph5\), 
    \(phases[\([beginph5]\)] - ph5\)}], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \({\(-0.000197462976492257524`\)}\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \({0.000881549659278890729`}\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    StyleBox[
      \( (*\ 5891\ yeast\ genes, \ 1582\ in\ M/G1, \ 1524\ in\ G1, \ 
        1344\ in\ S, \ 688\ in\ S/G2, \ 843\ in\ G2/\(M . \)\ *) \),
      FontColor->RGBColor[0, 0, 1]]], "Input",
  PageBreakAbove->Automatic,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ 
      \(Create\ Classified\ Sorted\ Data\ 2  D\ Red\ &\)\ Green\ Raster\ 
        Display\ *) \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
    \(contrast = 2; \n
    displaying = 
      Table[\n\t\t
        If[contrast*matrix[\([i, j]\)] > 0, \n\t\t\t
          If[contrast*matrix[\([i, j]\)] < 1, {contrast*matrix[\([i, j]\)], 
              0}, {1, 0}], \n\t\t\t
          If[contrast*matrix[\([i, j]\)] > \(-1\), {0, 
              \(-contrast\)*matrix[\([i, j]\)]}, {0, 1}]], \n
        \t\t{i, 1, genes}, {j, 1, arrays}]; \n
    framex = Table[{a - 0.5, arraynames[\([2, a]\)]}, {a, 1, arrays}]; \n
    framey = {\n\t{genes - endph5/2, "\<M/G1\>"}, \n
        \t{genes - \((endph5 + endph1)\)/2, "\<G1\>"}, \n
        \t{genes - \((endph1 + endph2)\)/2, "\<S\>"}, \n
        \t{genes - \((endph2 + endph3)\)/2, "\<S/G2\>"}, \n
        \t{genes - \((endph3 + endph4)\)/2, "\<G2/M\>"}, \n
        \t{\((genes - endph4)\)/2, "\<M/G1\>"}}; \n
    gridy = {\n\t\t{genes - endph1 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph2 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph3 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph4 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph5 + 0.5, {RGBColor[0, 0, 0]}}}; \n
    labelx = "\<(a) Arrays\>"; \n
    labely = ColumnForm[{"\< \>", "\<Genes\>", "\< \>", "\< \>", "\< \>", 
          "\< \>", "\< \>", "\< \>"}, Center]; \n
    g = Show[\n\t
        Graphics[\n\t\t
          RasterArray[\n\t\t\t
            Table[\n\t\t\t\t
              RGBColor[\n\t\t\t\t\tdisplaying[\([i, j, 1]\)], 
                displaying[\([i, j, 2]\)], 0\n\t\t\t\t\t], \n
              \t\t\t\t{i, genes, 1, \(-1\)}, {j, 1, arrays}\n\t\t\t]]], \n\t
        AspectRatio -> 1, \n\tFrame -> True, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        GridLines -> {None, gridy}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[a, {b - 1, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 1000}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 450}, {0, 0}, {0, 1}]; \n
    g1 = Show[g, \n\tAspectRatio -> GoldenRatio*1.15, \n\tPlotRange -> All, \n
        \tDisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ 
      \(Create\ Classified\ Sorted\ Eigenarrays\ 2  D\ Red\ &\)\ Green\ Raster
        \ Display\ *) \)], "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
    \(contrast = 50; \n
    displaying = 
      Table[\n\t\t
        If[contrast*eigenarrays[\([i, j]\)] > 0, \n\t\t\t
          If[contrast*eigenarrays[\([i, j]\)] < 1, {
              contrast*eigenarrays[\([i, j]\)], 0}, {1, 0}], \n\t\t\t
          If[contrast*eigenarrays[\([i, j]\)] > \(-1\), {0, 
              \(-contrast\)*eigenarrays[\([i, j]\)]}, {0, 1}]], \n
        \t\t{i, 1, genes}, {j, 1, arrays}]; \nlabelx = "\<(b) Eigenarrays\>"; 
    \nlabely = 
      ColumnForm[{"\< \>", "\< \>", "\< \>", "\< \>", "\< \>", "\< \>", 
          "\< \>", "\< \>"}, Center]; \n
    framex = Table[{a - 0.5, ToString[a]}, {a, 1, arrays}]; \n
    sizes = Flatten[\n\t\t
        Table[\n\t\t\t
          Dimensions[\n\t\t\t\t
            Characters[\n\t\t\t\t\tframex[\([a, 2]\)]\n\t\t\t\t]\n\t\t\t], {
            a, 1, arrays}]]; \n
    Do[\n\tDo[framex[\([a, 2]\)] = StringJoin[framex[\([a, 2]\)], "\< \>"], \n
        \t\ \ \ \ \ \ \ {b, 1, size - sizes[\([a]\)]}], \n
      \ \ \ \ \t{a, 1, arrays}]; \n
    framey = {\n\t{genes - endph5/2, "\<    \>", 0}, \n
        \t{genes - \((endph5 + endph1)\)/2, "\<  \>", 0}, \n
        \t{genes - \((endph1 + endph2)\)/2, "\< \>", 0}, \n
        \t{genes - \((endph2 + endph3)\)/2, "\<    \>", 0}, \n
        \t{genes - \((endph3 + endph4)\)/2, "\<    \>", 0}, \n
        \t{\((genes - endph4)\)/2, "\<    \>", 0}}; \n
    gridy = {\n\t\t{genes - endph1 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph2 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph3 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph4 + 0.5, {RGBColor[0, 0, 0]}}, \n
        \t\t{genes - endph5 + 0.5, {RGBColor[0, 0, 0]}}}; \n
    g = Show[\n\t
        Graphics[\n\t\t
          RasterArray[\n\t\t\t
            Table[\n\t\t\t\t
              RGBColor[\n\t\t\t\t\tdisplaying[\([i, j, 1]\)], 
                displaying[\([i, j, 2]\)], 0\n\t\t\t\t\t], \n
              \t\t\t\t{i, genes, 1, \(-1\)}, {j, 1, arrays}\n\t\t\t]]], \n\t
        AspectRatio -> 1, \n\tFrame -> True, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        GridLines -> {None, gridy}, \n\tDisplayFunction -> Identity]; \n
    g = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[a, {b - 1, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 1000}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 450}, {0, 0}, {0, 1}]; \n
    g2 = Show[g, \n\tAspectRatio -> GoldenRatio*1.15, \n\tPlotRange -> All, \n
        \tDisplayFunction -> Identity]; \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \( (*\ Create\ Classified\ Selected\ Eigenarrays\ Graph\ Display\ *) \)], 
  "Input",
  PageBreakAbove->True,
  PageBreakBelow->False,
  FontColor->RGBColor[0, 0, 1]],

Cell[BoxData[
    \(\(eigenarrays = Transpose[eigenarrays]; \)\)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[{
    \(eigenarrays1 = 
      Chop[TrigFit[eigenarrays[\([1]\)], 1, {x, genes - 1}], 0.0025]\), 
    \(eigenarrays2 = 
      Chop[TrigFit[eigenarrays[\([2]\)], 1, {x, genes - 1}], 0.0025]\)}], 
  "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[BoxData[
    \(0.00389156749403956716`\ Cos[\(\[Pi]\ x\)\/2990] - 
      0.0166061172182169469`\ Sin[\(\[Pi]\ x\)\/2990]\)], "Output",
  PageBreakAbove->False],

Cell[BoxData[
    \(\(-0.016538833000126405`\)\ Cos[\(\[Pi]\ x\)\/2990] - 
      0.00401255307211598122`\ Sin[\(\[Pi]\ x\)\/2990]\)], "Output",
  PageBreakAbove->False]
}, Open  ]],

Cell[BoxData[
    \(zerophase = 
      N[ArcTan[arraycorrelations[\([1, 1]\)]/arraycorrelations[\([2, 1]\)]]/
          Pi]; eigenarrays1 = 
      \(-0.0183\)*Sin[Pi*\((x + Round[zerophase*2990])\)/2990]; \n
    eigenarrays2 = \(-0.0183\)*Cos[Pi*\((x + Round[zerophase*2990])\)/2990]; 
    \)], "Input",
  PageBreakAbove->False,
  PageBreakBelow->False],

Cell[CellGroupData[{

Cell[BoxData[
    \(graph = 
      ParametricPlot[{eigenarrays1, \(-x\)}, \n\t\t{x, genes - 1, 0}, \n\t\t
        PlotStyle -> {RGBColor[0, 0, 0.5]}, \n\t\t
        DisplayFunction -> Identity]; \nlabelx = "\<(c) Expression Level\>"; 
    \nlabely = 
      ColumnForm[{"\< \>", "\< \>", "\< \>", "\< \>", "\< \>", "\< \>", 
          "\< \>", "\< \>"}, Center]; \n
    framex = {\n
        \t\t{\(-0.05\), "\<-0.05 \>"}, {\(-0.025\), "\<-0.025\>"}, {0, 
          "\<0     \>"}, \n
        \t\t{0.025, "\<0.025 \>"}, {0.05, "\<0.05  \>"}, {0.075, 
          "\<0.075 \>"}}; \n
    framey = {\n\t{\(-genes\) + endph5/2, "\<    \>", 0}, \n
        \t{\(-genes\) + \((endph5 + endph1)\)/2, "\<  \>", 0}, \n
        \t{\(-genes\) + \((endph1 + endph2)\)/2, "\< \>", 0}, \n
        \t{\(-genes\) + \((endph2 + endph3)\)/2, "\<    \>", 0}, \n
        \t{\(-genes\) + \((endph3 + endph4)\)/2, "\<    \>", 0}, \n
        \t{\(-\((genes - endph4)\)\)/2, "\<    \>", 0}}; \n
    coordinates = 
      Table[{eigenarrays[\([1, a]\)], \(-a\) + 1}, \t{a, 1, genes}]; \n
    line = Line[coordinates]; \n
    g = Show[\n
        \t\t{Graphics[{RGBColor[1, 0, 0], line}], \n\t\t\tgraph, \n\t\t\t
          Graphics[{RGBColor[1, 0, 0], 
              Text[\*"\"\<-\!\(\@\(2\/Z\)\)sin(\!\(\(2  \
\[Pi]z\)\/Z\)-\[Theta])\>\"", {0.0475, \(-500\)}]}]}, \n\tFrame -> True, \n\t
        FrameLabel -> {None, labely, labelx, None}, \n\t
        FrameTicks -> {None, framey, framex, None}, \n\t
        GridLines -> {{{0, RGBColor[0, 0, 0]}}, None}, \n\t
        AspectRatio -> GoldenRatio*1.15, \n\t
        PlotRange -> {{\(-0.05\), 0.095}, {75, \(-genes\) - 75 + 1}}, \n\t
        DisplayFunction -> Identity]; \ng = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labely, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[labely, {b, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[a, {b - 0.0095, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 1000}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 450}, {0, 0}, {0, 1}]; \n
    p1 = Show[g, \n\tAspectRatio -> GoldenRatio*1.15, \n\tPlotRange -> All]; 
    \)], "Input",
  PageBreakAbove->False,
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Cell[BoxData[
    \(graph = 
      ParametricPlot[{eigenarrays2, \(-x\)}, \n\t\t{x, 0, genes - 1}, \n\t\t
        PlotStyle -> {RGBColor[0, 0, 0.5]}, \n\t\t
        DisplayFunction -> Identity]; \nlabelx = "\<(c) Expression Level\>"; 
    \nlabely = 
      ColumnForm[{"\< \>", "\< \>", "\< \>", "\< \>", "\< \>"}, Center]; \n
    framex = {\n
        \t\t{\(-0.05\), "\<-0.05 \>"}, {\(-0.025\), "\<-0.025\>"}, {0, 
          "\<0     \>"}, \n
        \t\t{0.025, "\<0.025 \>"}, {0.05, "\<0.05  \>"}, {0.075, 
          "\<0.075 \>"}}; \n
    framey = {\n\t{\(-genes\) + endph5/2, "\<    \>", 0}, \n
        \t{\(-genes\) + \((endph5 + endph1)\)/2, "\<  \>", 0}, \n
        \t{\(-genes\) + \((endph1 + endph2)\)/2, "\< \>", 0}, \n
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        \t{\(-genes\) + \((endph3 + endph4)\)/2, "\<    \>", 0}, \n
        \t{\(-\((genes - endph4)\)\)/2, "\<    \>", 0}}; \n
    coordinates = 
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        \t\t{Graphics[{RGBColor[0, 0.5, 0], line}], \n\t\t\tgraph, \n\t\t\t
          Graphics[{RGBColor[0, 0.5, 0], 
              Text[\*"\"\<-\!\(\@\(2\/Z\)\)cos(\!\(\(2  \
\[Pi]z\)\/Z\)-\[Theta])\>\"", {0.0475, \(-1500\)}]}]}, \n\tFrame -> True, \n\t
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        GridLines -> {{{0, RGBColor[0, 0, 0]}}, None}, \n\t
        AspectRatio -> GoldenRatio*1.15, \n\t
        PlotRange -> {{\(-0.05\), 0.095}, {75, \(-genes\) + 1 - 75}}, \n\t
        DisplayFunction -> Identity]; \ng = FullGraphics[g]; \n
    g[\([1, 2]\)] = 
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          Text[labely, {b, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
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        Text[a_, {b_, c_}, {1. , 0. }] -> \n\t\t\t
          Text[a, {b - 0.0095, c}, {0, 0}, {0, 1}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[labelx, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[labelx, {b, c + 1000}, {0, \(-1\)}, {1, 0}]; \n
    g[\([1, 2]\)] = 
      g[\([1, 2]\)] /. \n\t\t
        Text[a_, {b_, c_}, {0. , \(-1. \)}] -> \n\t\t\t
          Text[a, {b, c + 450}, {0, 0}, {0, 1}]; \n
    p2 = Show[g, \n\tAspectRatio -> GoldenRatio*1.15, \n\tPlotRange -> All]; 
    \)], "Input",
  PageBreakAbove->True,
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