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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