[388] | 1 | (************** Content-type: application/mathematica **************
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| 2 |
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| 3 | Mathematica-Compatible Notebook
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| 4 |
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| 5 | This notebook can be used with any Mathematica-compatible
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| 6 | application, such as Mathematica, MathReader or Publicon. The data
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| 7 | for the notebook starts with the line containing stars above.
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| 8 |
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| 9 | To get the notebook into a Mathematica-compatible application, do
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| 10 | one of the following:
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| 11 |
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| 12 | * Save the data starting with the line of stars above into a file
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| 13 | with a name ending in .nb, then open the file inside the
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| 14 | application;
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| 15 |
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| 16 | * Copy the data starting with the line of stars above to the
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| 17 | clipboard, then use the Paste menu command inside the application.
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| 18 |
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| 19 | Data for notebooks contains only printable 7-bit ASCII and can be
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| 20 | sent directly in email or through ftp in text mode. Newlines can be
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| 21 | CR, LF or CRLF (Unix, Macintosh or MS-DOS style).
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| 22 |
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| 23 | NOTE: If you modify the data for this notebook not in a Mathematica-
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| 24 | compatible application, you must delete the line below containing
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| 25 | the word CacheID, otherwise Mathematica-compatible applications may
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| 26 | try to use invalid cache data.
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| 27 |
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| 28 | For more information on notebooks and Mathematica-compatible
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| 29 | applications, contact Wolfram Research:
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| 30 | web: http://www.wolfram.com
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| 31 | email: info@wolfram.com
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| 32 | phone: +1-217-398-0700 (U.S.)
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| 33 |
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| 34 | Notebook reader applications are available free of charge from
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| 35 | Wolfram Research.
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| 36 | *******************************************************************)
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| 37 |
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| 38 | (*CacheID: 232*)
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| 39 |
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| 40 |
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| 41 | (*NotebookFileLineBreakTest
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| 42 | NotebookFileLineBreakTest*)
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| 43 | (*NotebookOptionsPosition[ 4203, 143]*)
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| 44 | (*NotebookOutlinePosition[ 5092, 173]*)
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| 45 | (* CellTagsIndexPosition[ 5005, 167]*)
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| 46 | (*WindowFrame->Normal*)
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| 47 |
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| 48 |
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| 49 |
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| 50 | Notebook[{
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| 51 | Cell[BoxData[
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| 52 | \(<< Statistics`DiscreteDistributions`\)], "Input",
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| 53 | FontFamily->"Arial TUR",
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| 54 | FontSize->16],
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| 55 |
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| 56 | Cell[BoxData[
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| 57 | \(PoissPDF[k_, N_, dt_, f_] :=
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| 58 | PDF[PoissonDistribution[N*f*dt], k]\)], "Input",
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| 59 | FontFamily->"Arial TUR",
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| 60 | FontSize->16],
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| 61 |
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| 62 | Cell[BoxData[
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| 63 | \(Trigger0[nTh_, N_, dt_, f_] :=
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| 64 | Evaluate[Sum[
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| 65 | PoissPDF[k, N, 5/10^9, f]*
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| 66 | PoissPDF[nTh - k, N, dt,
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| 67 | f]*\((1 - Sum[PoissPDF[j, N, 5/10^9, f], {j, 0, k}])\), {k,
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| 68 | 0, nTh}]]*\((10^9/5)\)\)], "Input",
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| 69 | FontFamily->"Arial TUR",
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| 70 | FontSize->16],
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| 71 |
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| 72 | Cell[BoxData[
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| 73 | \(Trigger[nTh_, N_, dt_, f_] :=
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| 74 | Evaluate[Sum[
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| 75 | PoissPDF[k, N, 0.0001/10^9, f]*
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| 76 | PoissPDF[nm - k, N, dt - 0.0001/10^9,
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| 77 | f]*\((1 -
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| 78 | Sum[PoissPDF[j, N, 0.0001/10^9, f], {j, 0,
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| 79 | k + nTh - nm}])\), {nm, 0, nTh}, {k, 0, nm}]]*\((10^9/
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| 80 | 0.0001)\)\)], "Input",
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| 81 | FontFamily->"Arial TUR",
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| 82 | FontSize->16],
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| 83 |
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| 84 | Cell[CellGroupData[{
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| 85 |
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| 86 | Cell[BoxData[
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| 87 | \(\(?Trigger\)\)], "Input",
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| 88 | FontFamily->"Arial TUR",
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| 89 | FontSize->16],
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| 90 |
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| 91 | Cell["Global`Trigger", "Print",
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| 92 | FontFamily->"Arial TUR",
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| 93 | FontSize->16,
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| 94 | CellTags->"Info3362411253-9063905"],
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| 95 |
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| 96 | Cell[BoxData[
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| 97 | InterpretationBox[GridBox[{
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| 98 | {GridBox[{
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| 99 | {\(Trigger[nTh_, N_, dt_, f_] :=
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| 100 | 1\/5\ Evaluate[\[Sum]\+\(nm = 0\)\%nTh\(\[Sum]\+\(k = 0\)\
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| 101 | \%nm PoissPDF[k, N, 5\/10\^9, f]\ PoissPDF[nm - k, N, dt - 5\/10\^9,
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| 102 | f]\ \((1 - \[Sum]\+\(j = 0\)\%\(k + nTh - \
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| 103 | nm\)PoissPDF[j, N, 5\/10\^9, f])\)\)]\ 10\^9\)}
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| 104 | },
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| 105 | GridBaseline->{Baseline, {1, 1}},
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| 106 | ColumnWidths->0.999,
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| 107 | ColumnAlignments->{Left}]}
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| 108 | },
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| 109 | GridBaseline->{Baseline, {1, 1}},
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| 110 | ColumnAlignments->{Left}],
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| 111 | Definition[ "Trigger"],
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| 112 | Editable->False]], "Print",
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| 113 | FontFamily->"Arial TUR",
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| 114 | FontSize->16,
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| 115 | CellTags->"Info3362411253-9063905"]
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| 116 | }, Open ]],
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| 117 |
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| 118 | Cell[CellGroupData[{
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| 119 |
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| 120 | Cell[BoxData[
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| 121 | \(N[Trigger0[52, 81000, 425/10^9, 10^3]]\)], "Input",
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| 122 | FontFamily->"Arial TUR",
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| 123 | FontSize->16],
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| 124 |
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| 125 | Cell[BoxData[
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| 126 | \(57161.0960845246`\)], "Output",
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| 127 | FontFamily->"Arial TUR",
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| 128 | FontSize->16]
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| 129 | }, Open ]],
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| 130 |
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| 131 | Cell[CellGroupData[{
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| 132 |
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| 133 | Cell[BoxData[
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| 134 | \(N[Trigger[52, 81000, 425/10^9, 1\ 10^3]]\)], "Input",
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| 135 | FontFamily->"Arial TUR",
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| 136 | FontSize->16],
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| 137 |
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| 138 | Cell[BoxData[
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| 139 | \(93044.35202434182`\)], "Output"]
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| 140 | }, Open ]],
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| 141 |
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| 142 | Cell[BoxData[""], "Input"]
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| 143 | },
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| 144 | FrontEndVersion->"4.1 for Microsoft Windows",
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| 145 | ScreenRectangle->{{0, 1024}, {0, 685}},
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| 146 | WindowSize->{805, 527},
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| 147 | WindowMargins->{{50, Automatic}, {Automatic, -8}}
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| 148 | ]
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| 149 |
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| 150 | (*******************************************************************
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| 151 | Cached data follows. If you edit this Notebook file directly, not
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| 152 | using Mathematica, you must remove the line containing CacheID at
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| 153 | the top of the file. The cache data will then be recreated when
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| 154 | you save this file from within Mathematica.
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| 155 | *******************************************************************)
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| 156 |
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| 157 | (*CellTagsOutline
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| 158 | CellTagsIndex->{
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| 159 | "Info3362411253-9063905"->{
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| 160 | Cell[2820, 90, 112, 3, 28, "Print",
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| 161 | CellTags->"Info3362411253-9063905"],
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| 162 | Cell[2935, 95, 767, 19, 128, "Print",
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| 163 | CellTags->"Info3362411253-9063905"]}
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| 164 | }
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| 165 | *)
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| 166 |
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| 167 | (*CellTagsIndex
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| 168 | CellTagsIndex->{
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| 169 | {"Info3362411253-9063905", 4811, 158}
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| 170 | }
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| 171 | *)
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| 172 |
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| 173 | (*NotebookFileOutline
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| 174 | Notebook[{
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| 175 | Cell[1705, 50, 112, 3, 33, "Input"],
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| 176 | Cell[1820, 55, 147, 4, 33, "Input"],
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| 177 | Cell[1970, 61, 320, 8, 81, "Input"],
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| 178 | Cell[2293, 71, 411, 10, 105, "Input"],
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| 179 |
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| 180 | Cell[CellGroupData[{
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| 181 | Cell[2729, 85, 88, 3, 33, "Input"],
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| 182 | Cell[2820, 90, 112, 3, 28, "Print",
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| 183 | CellTags->"Info3362411253-9063905"],
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| 184 | Cell[2935, 95, 767, 19, 128, "Print",
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| 185 | CellTags->"Info3362411253-9063905"]
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| 186 | }, Open ]],
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| 187 |
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| 188 | Cell[CellGroupData[{
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| 189 | Cell[3739, 119, 114, 3, 33, "Input"],
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| 190 | Cell[3856, 124, 94, 3, 32, "Output"]
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| 191 | }, Open ]],
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| 192 |
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| 193 | Cell[CellGroupData[{
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| 194 | Cell[3987, 132, 116, 3, 33, "Input"],
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| 195 | Cell[4106, 137, 52, 1, 29, "Output"]
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| 196 | }, Open ]],
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| 197 | Cell[4173, 141, 26, 0, 30, "Input"]
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| 198 | }
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| 199 | ]
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| 200 | *)
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| 201 |
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| 202 |
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| 203 |
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| 204 | (*******************************************************************
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| 205 | End of Mathematica Notebook file.
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| 206 | *******************************************************************)
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| 207 |
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