[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[ 4421, 144]*)
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| 44 | (*NotebookOutlinePosition[ 5546, 180]*)
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| 45 | (* CellTagsIndexPosition[ 5418, 173]*)
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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 | \(BinomPDF[k_, N_, dt_, f_] :=
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| 53 | PDF[BinomialDistribution[N, 1 - Exp[\(-f\)*dt]], k]\)], "Input"],
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| 54 |
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| 55 | Cell[BoxData[
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| 56 | \(Trigger1[nTh_, N_, dt_, f_] :=
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| 57 | Evaluate[Sum[
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| 58 | BinomPDF[k, N, 5/10^9, f]*
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| 59 | BinomPDF[nTh - k, N, dt,
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| 60 | f]*\((1 - Sum[BinomPDF[j, N, 5/10^9, f], {j, 0, k}])\), {k,
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| 61 | 0, nTh}]]*\((10^9/5)\)\)], "Input"],
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| 62 |
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| 63 | Cell[CellGroupData[{
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| 64 |
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| 65 | Cell[BoxData[
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| 66 | \(\(?BinomPDF\)\)], "Input"],
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| 67 |
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| 68 | Cell["Global`BinomPDF", "Print",
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| 69 | CellTags->"Info3362315879-8409761"],
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| 70 |
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| 71 | Cell[BoxData[
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| 72 | InterpretationBox[GridBox[{
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| 73 | {GridBox[{
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| 74 | {\(BinomPDF[k_, N_, dt_, f_] :=
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| 75 | PDF[BinomialDistribution[N,
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| 76 | 1 - \[ExponentialE]\^\(\(-f\)\ dt\)], k]\)}
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| 77 | },
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| 78 | GridBaseline->{Baseline, {1, 1}},
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| 79 | ColumnWidths->0.999,
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| 80 | ColumnAlignments->{Left}]}
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| 81 | },
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| 82 | GridBaseline->{Baseline, {1, 1}},
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| 83 | ColumnAlignments->{Left}],
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| 84 | Definition[ "BinomPDF"],
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| 85 | Editable->False]], "Print",
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| 86 | CellTags->"Info3362315879-8409761"]
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| 87 | }, Open ]],
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| 88 |
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| 89 | Cell[CellGroupData[{
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| 90 |
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| 91 | Cell[BoxData[
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| 92 | \(\(?Trigger1\)\)], "Input"],
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| 93 |
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| 94 | Cell[BoxData[
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| 95 | \(Information::"notfound" \(\(:\)\(\ \)\)
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| 96 | "Symbol \!\(\"Trigger1\"\) not found."\)], "Message"]
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| 97 | }, Open ]],
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| 98 |
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| 99 | Cell[BoxData[
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| 100 | \(Trigger1[nTh_, N_, dt_, f_] :=
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| 101 | Evaluate[Sum[
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| 102 | BinomPDF[k, N, 0.0001/10^9, f]*
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| 103 | BinomPDF[nTh - k, N, dt,
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| 104 | f]*\((1 -
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| 105 | Sum[BinomPDF[j, N, 0.0001/10^9, f], {j, 0, k}])\), {k, 0,
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| 106 | nTh}]]*\((10^9/0.0001)\)\)], "Input"],
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| 107 |
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| 108 | Cell[CellGroupData[{
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| 109 |
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| 110 | Cell[BoxData[
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| 111 | \(\(?Trigger1\)\)], "Input"],
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| 112 |
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| 113 | Cell["Global`Trigger1", "Print",
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| 114 | CellTags->"Info3362315904-1598254"],
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| 115 |
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| 116 | Cell[BoxData[
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| 117 | InterpretationBox[GridBox[{
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| 118 | {GridBox[{
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| 119 | {\(Trigger1[nTh_, N_, dt_, f_] :=
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| 120 | 1\/5\ Evaluate[\[Sum]\+\(k = 0\)\%nTh BinomPDF[k, N,
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| 121 | 5\/10\^9, f]\ BinomPDF[nTh - k, N, dt,
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| 122 | f]\ \((1 - \[Sum]\+\(j = 0\)\%k BinomPDF[j, N,
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| 123 | 5\/10\^9, f])\)]\ 10\^9\)}
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| 124 | },
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| 125 | GridBaseline->{Baseline, {1, 1}},
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| 126 | ColumnWidths->0.999,
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| 127 | ColumnAlignments->{Left}]}
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| 128 | },
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| 129 | GridBaseline->{Baseline, {1, 1}},
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| 130 | ColumnAlignments->{Left}],
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| 131 | Definition[ "Trigger1"],
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| 132 | Editable->False]], "Print",
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| 133 | CellTags->"Info3362315904-1598254"]
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| 134 | }, Open ]],
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| 135 |
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| 136 | Cell[CellGroupData[{
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| 137 |
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| 138 | Cell[BoxData[
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| 139 | \(N[Trigger1[249, 81000, 425/10^9, 6\ 10^3]]\)], "Input"],
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| 140 |
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| 141 | Cell[BoxData[
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| 142 | \(192707.40988527454`\)], "Output"]
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| 143 | }, Open ]]
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| 144 | },
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| 145 | FrontEndVersion->"4.1 for Microsoft Windows",
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| 146 | ScreenRectangle->{{0, 1024}, {0, 685}},
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| 147 | WindowSize->{495, 527},
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| 148 | WindowMargins->{{0, Automatic}, {Automatic, 0}}
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| 149 | ]
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| 150 |
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| 151 | (*******************************************************************
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| 152 | Cached data follows. If you edit this Notebook file directly, not
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| 153 | using Mathematica, you must remove the line containing CacheID at
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| 154 | the top of the file. The cache data will then be recreated when
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| 155 | you save this file from within Mathematica.
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| 156 | *******************************************************************)
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| 157 |
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| 158 | (*CellTagsOutline
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| 159 | CellTagsIndex->{
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| 160 | "Info3362315879-8409761"->{
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| 161 | Cell[2179, 67, 70, 1, 25, "Print",
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| 162 | CellTags->"Info3362315879-8409761"],
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| 163 | Cell[2252, 70, 568, 15, 44, "Print",
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| 164 | CellTags->"Info3362315879-8409761"]},
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| 165 | "Info3362315904-1598254"->{
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| 166 | Cell[3426, 112, 70, 1, 25, "Print",
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| 167 | CellTags->"Info3362315904-1598254"],
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| 168 | Cell[3499, 115, 738, 17, 77, "Print",
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| 169 | CellTags->"Info3362315904-1598254"]}
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| 170 | }
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| 171 | *)
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| 172 |
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| 173 | (*CellTagsIndex
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| 174 | CellTagsIndex->{
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| 175 | {"Info3362315879-8409761", 5027, 159},
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| 176 | {"Info3362315904-1598254", 5224, 164}
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| 177 | }
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| 178 | *)
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| 179 |
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| 180 | (*NotebookFileOutline
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| 181 | Notebook[{
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| 182 | Cell[1705, 50, 120, 2, 50, "Input"],
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| 183 | Cell[1828, 54, 277, 6, 130, "Input"],
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| 184 |
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| 185 | Cell[CellGroupData[{
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| 186 | Cell[2130, 64, 46, 1, 30, "Input"],
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| 187 | Cell[2179, 67, 70, 1, 25, "Print",
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| 188 | CellTags->"Info3362315879-8409761"],
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| 189 | Cell[2252, 70, 568, 15, 44, "Print",
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| 190 | CellTags->"Info3362315879-8409761"]
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| 191 | }, Open ]],
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| 192 |
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| 193 | Cell[CellGroupData[{
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| 194 | Cell[2857, 90, 46, 1, 30, "Input"],
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| 195 | Cell[2906, 93, 120, 2, 24, "Message"]
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| 196 | }, Open ]],
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| 197 | Cell[3041, 98, 311, 7, 130, "Input"],
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| 198 |
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| 199 | Cell[CellGroupData[{
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| 200 | Cell[3377, 109, 46, 1, 30, "Input"],
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| 201 | Cell[3426, 112, 70, 1, 25, "Print",
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| 202 | CellTags->"Info3362315904-1598254"],
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| 203 | Cell[3499, 115, 738, 17, 77, "Print",
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| 204 | CellTags->"Info3362315904-1598254"]
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| 205 | }, Open ]],
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| 206 |
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| 207 | Cell[CellGroupData[{
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| 208 | Cell[4274, 137, 75, 1, 30, "Input"],
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| 209 | Cell[4352, 140, 53, 1, 29, "Output"]
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| 210 | }, Open ]]
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| 211 | }
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| 212 | ]
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| 213 | *)
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| 214 |
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| 215 |
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| 216 |
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| 217 | (*******************************************************************
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| 218 | End of Mathematica Notebook file.
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| 219 | *******************************************************************)
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| 220 |
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