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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