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[ 4243, 146]*) |
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44 | (*NotebookOutlinePosition[ 5366, 182]*) |
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45 | (* CellTagsIndexPosition[ 5238, 175]*) |
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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 | \(\(\(<< Statistics`DiscreteDistributions`\)\(\[IndentingNewLine]\) |
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53 | \)\)], "Input"], |
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54 | |
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55 | Cell[BoxData[ |
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56 | \(PoissPDF[k_, N_, dt_, f_] := |
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57 | PDF[PoissonDistribution[N*f*dt], k]\)], "Input"], |
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58 | |
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59 | Cell[CellGroupData[{ |
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60 | |
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61 | Cell[BoxData[ |
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62 | \(\(?PoissPDF\)\)], "Input"], |
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63 | |
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64 | Cell["Global`PoissPDF", "Print", |
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65 | CellTags->"Info3362307184-6683970"], |
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66 | |
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67 | Cell[BoxData[ |
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68 | InterpretationBox[GridBox[{ |
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69 | {GridBox[{ |
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70 | {\(PoissPDF[k_, N_, dt_, f_] := |
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71 | PDF[PoissonDistribution[N\ f\ dt], k]\)} |
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72 | }, |
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73 | GridBaseline->{Baseline, {1, 1}}, |
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74 | ColumnWidths->0.999, |
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75 | ColumnAlignments->{Left}]} |
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76 | }, |
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77 | GridBaseline->{Baseline, {1, 1}}, |
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78 | ColumnAlignments->{Left}], |
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79 | Definition[ "PoissPDF"], |
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80 | Editable->False]], "Print", |
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81 | CellTags->"Info3362307184-6683970"] |
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82 | }, Open ]], |
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83 | |
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84 | Cell[BoxData[ |
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85 | \(Trigger[nTh_, N_, dt_, f_] := |
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86 | Evaluate[Sum[ |
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87 | PoissPDF[k, N, 5/10^9, f]* |
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88 | PoissPDF[nTh - k, N, dt, |
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89 | f]*\((1 - Sum[PoissPDF[j, N, 5/10^9, f], {j, 0, k}])\), {k, |
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90 | 0, nTh}]]*\((10^9/5)\)\)], "Input"], |
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91 | |
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92 | Cell[CellGroupData[{ |
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93 | |
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94 | Cell[BoxData[ |
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95 | \(\(?Trigger\)\)], "Input"], |
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96 | |
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97 | Cell["Global`Trigger", "Print", |
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98 | CellTags->"Info3362307731-1140847"], |
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99 | |
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100 | Cell[BoxData[ |
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101 | InterpretationBox[GridBox[{ |
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102 | {GridBox[{ |
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103 | {\(Trigger[nTh_, N_, dt_, f_] := |
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104 | 1\/5\ Evaluate[\[Sum]\+\(k = 0\)\%nTh PoissPDF[k, N, |
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105 | 5\/10\^9, f]\ PoissPDF[nTh - k, N, dt, |
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106 | f]\ \((1 - \[Sum]\+\(j = 0\)\%k PoissPDF[j, N, |
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107 | 5\/10\^9, f])\)]\ 10\^9\)} |
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108 | }, |
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109 | GridBaseline->{Baseline, {1, 1}}, |
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110 | ColumnWidths->0.999, |
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111 | ColumnAlignments->{Left}]} |
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112 | }, |
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113 | GridBaseline->{Baseline, {1, 1}}, |
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114 | ColumnAlignments->{Left}], |
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115 | Definition[ "Trigger"], |
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116 | Editable->False]], "Print", |
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117 | CellTags->"Info3362307731-1140847"] |
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118 | }, Open ]], |
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119 | |
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120 | Cell[CellGroupData[{ |
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121 | |
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122 | Cell[BoxData[ |
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123 | \(N[Trigger[133, 81000, 425/10^9, 3\ 10^3]]\)], "Input"], |
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124 | |
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125 | Cell[BoxData[ |
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126 | \(57679.52805210537`\)], "Output"] |
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127 | }, Open ]], |
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128 | |
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129 | Cell[CellGroupData[{ |
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130 | |
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131 | Cell[BoxData[ |
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132 | \(N[%]\)], "Input"], |
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133 | |
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134 | Cell[BoxData[ |
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135 | \(0.000285805480422623`\)], "Output"] |
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136 | }, Open ]], |
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137 | |
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138 | Cell[CellGroupData[{ |
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139 | |
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140 | Cell[BoxData[ |
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141 | \(N[PoissPDF[249, 81000, 425/10^9, 6\ 10^3]*81000*6*10^3]\)], "Input"], |
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142 | |
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143 | Cell[BoxData[ |
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144 | \(205465.67261408278`\)], "Output"] |
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145 | }, Open ]] |
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146 | }, |
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147 | FrontEndVersion->"4.1 for Microsoft Windows", |
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148 | ScreenRectangle->{{0, 1024}, {0, 685}}, |
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149 | WindowSize->{495, 527}, |
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150 | WindowMargins->{{0, Automatic}, {Automatic, 0}} |
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151 | ] |
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152 | |
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153 | (******************************************************************* |
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154 | Cached data follows. If you edit this Notebook file directly, not |
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155 | using Mathematica, you must remove the line containing CacheID at |
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156 | the top of the file. The cache data will then be recreated when |
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157 | you save this file from within Mathematica. |
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158 | *******************************************************************) |
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159 | |
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160 | (*CellTagsOutline |
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161 | CellTagsIndex->{ |
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162 | "Info3362307184-6683970"->{ |
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163 | Cell[1991, 63, 70, 1, 25, "Print", |
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164 | CellTags->"Info3362307184-6683970"], |
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165 | Cell[2064, 66, 512, 14, 44, "Print", |
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166 | CellTags->"Info3362307184-6683970"]}, |
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167 | "Info3362307731-1140847"->{ |
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168 | Cell[2940, 96, 69, 1, 25, "Print", |
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169 | CellTags->"Info3362307731-1140847"], |
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170 | Cell[3012, 99, 736, 17, 77, "Print", |
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171 | CellTags->"Info3362307731-1140847"]} |
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172 | } |
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173 | *) |
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174 | |
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175 | (*CellTagsIndex |
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176 | CellTagsIndex->{ |
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177 | {"Info3362307184-6683970", 4849, 161}, |
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178 | {"Info3362307731-1140847", 5046, 166} |
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179 | } |
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180 | *) |
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181 | |
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182 | (*NotebookFileOutline |
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183 | Notebook[{ |
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184 | Cell[1705, 50, 105, 2, 50, "Input"], |
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185 | Cell[1813, 54, 104, 2, 50, "Input"], |
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186 | |
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187 | Cell[CellGroupData[{ |
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189 | Cell[1991, 63, 70, 1, 25, "Print", |
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190 | CellTags->"Info3362307184-6683970"], |
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191 | Cell[2064, 66, 512, 14, 44, "Print", |
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192 | CellTags->"Info3362307184-6683970"] |
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193 | }, Open ]], |
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195 | |
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196 | Cell[CellGroupData[{ |
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201 | CellTags->"Info3362307731-1140847"] |
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202 | }, Open ]], |
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203 | |
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204 | Cell[CellGroupData[{ |
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205 | Cell[3785, 121, 74, 1, 30, "Input"], |
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206 | Cell[3862, 124, 52, 1, 29, "Output"] |
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207 | }, Open ]], |
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209 | Cell[CellGroupData[{ |
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214 | Cell[CellGroupData[{ |
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216 | Cell[4174, 142, 53, 1, 29, "Output"] |
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217 | }, Open ]] |
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218 | } |
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219 | ] |
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220 | *) |
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221 | |
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222 | |
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223 | |
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224 | (******************************************************************* |
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225 | End of Mathematica Notebook file. |
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226 | *******************************************************************) |
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227 | |
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