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Cell[TextData[{ "Investigating Power Laws with ", StyleBox["Mathematica", FontSlant->"Italic"] }], "Title"], Cell["", "Subtitle"], Cell["Fiona Maclachlan", "Author"], Cell["Manhattan College", "Affiliation"], Cell[CellGroupData[{ Cell["Abstract", "Section"], Cell[TextData[{ StyleBox["Power-law distributions are found in a broad range of \ disciplines. In the late nineteenth century, Vilfredo Pareto identified a \ power law for the distribution of income. More recently, power laws have \ been discovered in the degree distributions of socially constructed networks \ like the World Wide Web, and have been associated with phenomena \ characterized by preferential attachment. They have also been linked with the \ idea of self-organized criticality and have been observed in the size \ distributions of many natural phenomena, such as sandpiles and earthquakes. \ Recent empirical studies of economic data have turned up power law behavior \ in the return distribution of financial assets, and in the size distributions \ of firms and market shares. The latter work has been picked up in the \ marketing literature and has even found its way into popular business books \ like ", FontSize->14], StyleBox["The Long Tail.", FontSize->14, FontSlant->"Italic"], StyleBox["\n\nThis presentation illustrates ways in which ", FontSize->14], StyleBox["Mathematica", FontSize->14, FontSlant->"Italic"], StyleBox[" can be used to investigate issues related to power laws. I show \ how the non-linear regression capability can be used to investigate the \ goodness of fit of a power-law distribution to a data set, and to compare the \ fit with that of other similarly shaped distributions, such as the lognormal. \ In addition, I show how simple computational models can be constructed to \ investigate the extent to which power laws arise from randomness in an \ underlying process. For example, the hypothesis that Zipf\[CloseCurlyQuote]s \ Law in word frequency would be generated by monkeys typing can be \ investigated with a simulation, as can a model of market shares based on the \ idea of random division. \n", FontSize->14], StyleBox["\n", FontSize->12] }], "Text"] }, Closed]], Cell[CellGroupData[{ Cell["Introduction", "Section"], Cell[CellGroupData[{ Cell["", "Subsubsection"], Cell[BoxData[{ \(<< Graphics`Graphics`\), "\[IndentingNewLine]", \(<< Statistics`ContinuousDistributions`\), "\[IndentingNewLine]", \(<< Statistics`NonLinearFit`\)}], "Input", CellLabel->"In[1]:="], Cell["", "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Size versus Rank Distributions", "Subsection"], Cell[TextData[{ "The Pareto distribution is an example of a power law ", StyleBox["size ", FontWeight->"Bold"], "distribution. We consider a population (say, of families) and then \ inquire about the size of a quantity associated with each member of the \ population (say, family income). The size of the quantity is the independent \ variable and the dependent variable is the relative frequency of members of \ the population associated with that size. In their cumulative form, size \ distributions indicate the relative frequency of members of the population \ associated with a given size and below. The cumulative distribution function \ for the Pareto distribution is given by:" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(CDF[ParetoDistribution[k, \[Alpha]], x]\)], "Input", CellLabel->"In[4]:="], Cell[BoxData[ \(1 - \((k\/x)\)\^\[Alpha]\)], "Output", CellLabel->"Out[4]="] }, Open ]], Cell[TextData[{ "where ", StyleBox["k ", FontSlant->"Italic"], "is the minimum size of the quantity in question, and \[Alpha] is the shape \ parameter for the distribution" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(With[{k = 1, \[Alpha] = .9}, \ Plot[CDF[ParetoDistribution[k, \[Alpha]], x], \ {x, 1, 100}, \ AxesLabel \[Rule] {Size, \ CDF}, \ PlotStyle \[Rule] Thickness[ .01], \ ImageSize \[Rule] 500]];\)\)], "Input", CellLabel->"In[12]:="], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 %%ImageSize: 500 309.017 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% 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Families could be ranked according to their income \ from richest to poorest, or books could be ranked according to their level of \ sales from best selling to worst selling. The rank becomes the independent \ variable and the dependent variable is the size of the quantity associated \ with that rank. A two-parameter power law rank distribution is given by:" }], "Text"], Cell[BoxData[ \(\(\(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \)\ \(c\/r\^\[Beta]\)\)\)], "Input", CellLabel->"In[22]:="], Cell[TextData[{ "where ", Cell[BoxData[ StyleBox["c", FontWeight->"Bold"]]], " is the size associated with the highest ranking member of the population, \ ", StyleBox["r", FontSlant->"Italic"], " is the rank, and \[Beta] is the shape parameter. Zipf's Law, as it is \ commonly understood, is a special case of a power law rank distribution in \ which \[Beta] is 1. 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There is an overwhelming \ preponderance of 1s, followed by 2s, and so forth. The percentage of \ population figures with initial 9s, is extremely small. That behavior of the \ first digit is predicted by the rule, which, if exactly obeyed, would give a \ proportion of initial 1s to intial 9s of 45 to 1.\n\tMurray Gell-Mann, ", FontSlant->"Italic"], StyleBox["The Quark and the Jaguar", FontSlant->"Italic", FontVariations->{"Underline"->True}], StyleBox[", pp. 93-94.", FontSlant->"Italic"] }], "Text"], Cell[BoxData[ \(\(\(\[IndentingNewLine]\)\(LDP[list_List] := N[Table[\ Count[First /@ \(First /@ RealDigits[list]\), d], {d, 9}]/ Length[list]]\)\)\)], "Input", CellLabel->"In[16]:="], Cell[BoxData[ \(\(N[Table[1/x, \ {x, \ 10000}]];\)\)], "Input", CellLabel->"In[17]:="], Cell[CellGroupData[{ Cell[BoxData[ \(LDP[%]\)], "Input", CellLabel->"In[18]:="], Cell[BoxData[ \({0.5556`, 0.1853`, 0.0925`, 0.0555`, 0.0373`, 0.0264`, 0.0197`, 0.0154`, 0.0123`}\)], "Output", CellLabel->"Out[18]="] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(%[\([1]\)]/%[\([9]\)]\)], "Input", CellLabel->"In[19]:="], Cell[BoxData[ \(45.17073170731707`\)], "Output", CellLabel->"Out[19]="] }, Open ]], Cell[BoxData[ \(\(Table[N[Table[i/x, \ {x, \ 10000}]], \ {i, 15}];\)\)], "Input", CellLabel->"In[20]:="], Cell[CellGroupData[{ Cell[BoxData[ \(LDP /@ %\)], "Input", CellLabel->"In[21]:="], Cell[BoxData[ \({{0.5556`, 0.1853`, 0.0925`, 0.0555`, 0.0373`, 0.0264`, 0.0197`, 0.0154`, 0.0123`}, {0.1111`, 0.3707`, 0.1849`, 0.1111`, 0.0742`, 0.053`, 0.0395`, 0.0309`, 0.0246`}, {0.1667`, 0.0555`, 0.2779`, 0.1666`, 0.1112`, 0.0795`, 0.0594`, 0.0463`, 0.0369`}, {0.2222`, 0.0742`, 0.0369`, 0.2223`, 0.1484`, 0.1057`, 0.0792`, 0.0619`, 0.0492`}, {0.2778`, 0.0928`, 0.0461`, 0.0277`, 0.1854`, 0.1323`, 0.0991`, 0.0773`, 0.0615`}, {0.3333`, 0.1111`, 0.0556`, 0.0333`, 0.0223`, 0.1589`, 0.1189`, 0.0928`, 0.0738`}, {0.3889`, 0.1297`, 0.0648`, 0.0388`, 0.0261`, 0.0183`, 0.1391`, 0.1082`, 0.0861`}, {0.4444`, 0.1484`, 0.0738`, 0.0445`, 0.0297`, 0.0212`, 0.0157`, 0.1239`, 0.0984`}, {0.5`, 0.1666`, 0.0834`, 0.05`, 0.0333`, 0.024`, 0.0177`, 0.0139`, 0.1111`}, {0.5556`, 0.1853`, 0.0925`, 0.0555`, 0.0373`, 0.0264`, 0.0197`, 0.0154`, 0.0123`}, {0.5112`, 0.2039`, 0.1017`, 0.061`, 0.0409`, 0.0291`, 0.0218`, 0.0169`, 0.0135`}, {0.4667`, 0.2222`, 0.1111`, 0.0667`, 0.0444`, 0.0319`, 0.0237`, 0.0186`, 0.0147`}, {0.4223`, 0.2408`, 0.1203`, 0.0722`, 0.0483`, 0.0344`, 0.0257`, 0.0201`, 0.0159`}, {0.3778`, 0.2595`, 0.1294`, 0.0778`, 0.0519`, 0.0369`, 0.0279`, 0.0217`, 0.0171`}, {0.3334`, 0.2777`, 0.139`, 0.0832`, 0.0556`, 0.0398`, 0.0298`, 0.0232`, 0.0183`}}\)], "Output", CellLabel->"Out[21]="] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(#[\([1]\)]/#[\([9]\)] &\) /@ %\)], "Input", CellLabel->"In[22]:="], Cell[BoxData[ \({45.17073170731707`, 4.516260162601626`, 4.517615176151761`, 4.516260162601626`, 4.517073170731708`, 4.516260162601625`, 4.516840882694542`, 4.516260162601626`, 4.5004500450045`, 45.17073170731707`, 37.86666666666667`, 31.748299319727895`, 26.559748427672954`, 22.09356725146199`, 18.218579234972676`}\)], "Output", CellLabel->"Out[22]="] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Monkeys Typing ", "Section", CellChangeTimes -> {{3367650555.51563, 3367650564.28125}, \ {3367790959.71875, 3367790961.90625}, {3367792580.57813, 3367792585.17188}, \ {3367795387.78125, 3367795390.8125}, 3367950172.34375, {3367960985.07813, \ 3367960987.125}, {3368048534.03125, 3368048535.09375}, {3368117367.78125, \ 3368117376.6875}}], Cell[CellGroupData[{ Cell["The Theoretical Distribution", "Subsubsection"], Cell[TextData[{ "Let a monkey choose randomly from three letters, A, B & C, and a space.\n\ What is the probability at any point in his random typing that he will type \ an ", StyleBox["m-", FontSlant->"Italic"], "letter word?\nThere are two possibilities to consider:\n(1) He has just \ typed a space. That will be true 25% of the time on average.\n(2) He has \ just typed a letter. That will be true 75% of the time on average.\n \nIf he \ has just typed a space, then the probability of his typing a particular ", StyleBox["m", FontSlant->"Italic"], "-letter word ", Cell[BoxData[ \(1\/4\^\(m + 1\)\)]], ". \nIf he has just typed a letter, then the probability of his typing a \ particular ", StyleBox["m", FontSlant->"Italic"], "-letter word is ", Cell[BoxData[ \(1\/4\^\(m + 2\)\)]], ". \nSo the probabilty of a particular ", StyleBox["m", FontSlant->"Italic"], "-letter word is ", Cell[BoxData[ \(1\/4\[Times]1\/4\^\(m + 1\) + 3\/4\[Times]1\/4\^\(m + 2\)\)]], " .\nBut there are", Cell[BoxData[ \(\(\(\ \)\(3\^m\)\)\)]], " different ", StyleBox["m", FontSlant->"Italic"], "-letter words.\nSo the probability of the monkey typing ", StyleBox["any m", FontSlant->"Italic"], "-letter word is:\n" }], "Text", CellChangeTimes -> {{3367650571.70313, 3367650638.07813}, 3367651145.78125, \ {3367651706.21875, 3367651716.09375}, {3367651788.23438, 3367651796.95313}, \ 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Then the two-letter \ words occupy from rank 4 up to " }], "Text", CellChangeTimes -> {{3367876604.46875, 3367876758.70313}, \ {3367876845.35938, 3367876864.6875}, {3368117131.40625, 3368117164.45313}}], Cell[CellGroupData[{ Cell[BoxData[ \(3 + 3\^2\)], "Input", CellChangeTimes -> {{3367876873.15625, 3367876897.82813}, \ {3367877002.32813, 3367877030.39063}, {3367877318.85938, 3367877369.40625}, \ {3368117168.29688, 3368117178.}}], Cell[BoxData[ \(12\)], "Output", GeneratedCell->False, CellAutoOverwrite->False, CellChangeTimes -> {3368117187.07813}] }, Open ]], Cell["The three-letter words occupy ranks 13 up to", "Text", CellChangeTimes -> {{3367877425.875, 3367877459.28125}, {3368117212.85938, \ 3368117214.28125}}], Cell[CellGroupData[{ Cell[BoxData[ \(3 + 3\^2 + 3\^3\)], "Input", CellChangeTimes -> {{3368117218.3125, 3368117233.75}}], Cell[BoxData[ \(39\)], "Output", GeneratedCell->False, CellAutoOverwrite->False, CellChangeTimes -> {3368117241.26563}] }, Open ]], Cell["\<\ When different entities tie for the same rank, it's not clear the best way to \ represent the ranking graphically. 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Cell[TextData[{ "The broken stick rule gives the expected proportional sizes of segments of \ a line broken randomly into ", StyleBox["n", FontSlant->"Italic"], " parts. 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.04919 .25111 L .04999 .25111 L .04999 .01472 L F .05019 .01472 m .05019 .24953 L .05099 .24953 L .05099 .01472 L F .05119 .01472 m .05119 .24799 L .05199 .24799 L .05199 .01472 L F .05219 .01472 m .05219 .24648 L .05299 .24648 L .05299 .01472 L F .05319 .01472 m .05319 .245 L .05399 .245 L .05399 .01472 L F .05419 .01472 m .05419 .24354 L .05499 .24354 L .05499 .01472 L F .05519 .01472 m .05519 .24211 L .05599 .24211 L .05599 .01472 L F .05619 .01472 m .05619 .24071 L .05699 .24071 L .05699 .01472 L F .05719 .01472 m .05719 .23933 L .05799 .23933 L .05799 .01472 L F .05819 .01472 m .05819 .23797 L .05899 .23797 L .05899 .01472 L F .05919 .01472 m .05919 .23664 L .05999 .23664 L .05999 .01472 L F .06019 .01472 m .06019 .23533 L .06099 .23533 L .06099 .01472 L F .06119 .01472 m .06119 .23404 L .06199 .23404 L .06199 .01472 L F .06219 .01472 m .06219 .23277 L .06299 .23277 L .06299 .01472 L F .06319 .01472 m .06319 .23152 L .06399 .23152 L .06399 .01472 L F .06419 .01472 m .06419 .23029 L .06499 .23029 L .06499 .01472 L F .06519 .01472 m .06519 .22908 L .06599 .22908 L .06599 .01472 L F .06619 .01472 m .06619 .22789 L .06699 .22789 L .06699 .01472 L F .06719 .01472 m .06719 .22672 L .06799 .22672 L .06799 .01472 L F .06819 .01472 m .06819 .22556 L .06899 .22556 L .06899 .01472 L F .06919 .01472 m .06919 .22442 L .06999 .22442 L .06999 .01472 L F .07019 .01472 m .07019 .2233 L .07099 .2233 L .07099 .01472 L F .07119 .01472 m .07119 .22219 L .07199 .22219 L .07199 .01472 L F .07219 .01472 m .07219 .2211 L .07299 .2211 L .07299 .01472 L F .07319 .01472 m .07319 .22002 L .07399 .22002 L .07399 .01472 L F .07419 .01472 m .07419 .21896 L .07499 .21896 L .07499 .01472 L F .07518 .01472 m .07518 .21791 L .07598 .21791 L .07598 .01472 L F .07618 .01472 m .07618 .21688 L .07698 .21688 L .07698 .01472 L F .07718 .01472 m .07718 .21586 L .07798 .21586 L .07798 .01472 L F .07818 .01472 m .07818 .21485 L .07898 .21485 L .07898 .01472 L F .07918 .01472 m .07918 .21385 L .07998 .21385 L .07998 .01472 L F .08018 .01472 m .08018 .21287 L .08098 .21287 L .08098 .01472 L F .08118 .01472 m .08118 .2119 L .08198 .2119 L .08198 .01472 L F .08218 .01472 m .08218 .21094 L .08298 .21094 L .08298 .01472 L F .08318 .01472 m .08318 .20999 L .08398 .20999 L .08398 .01472 L F .08418 .01472 m .08418 .20906 L .08498 .20906 L .08498 .01472 L F .08518 .01472 m .08518 .20813 L .08598 .20813 L .08598 .01472 L F .08618 .01472 m .08618 .20722 L .08698 .20722 L .08698 .01472 L F .08718 .01472 m .08718 .20631 L .08798 .20631 L .08798 .01472 L F .08818 .01472 m .08818 .20542 L .08898 .20542 L .08898 .01472 L F .08918 .01472 m .08918 .20454 L .08998 .20454 L .08998 .01472 L F .09018 .01472 m .09018 .20366 L .09098 .20366 L .09098 .01472 L F .09118 .01472 m .09118 .2028 L .09198 .2028 L .09198 .01472 L F .09218 .01472 m .09218 .20194 L .09298 .20194 L .09298 .01472 L F .09318 .01472 m .09318 .2011 L .09398 .2011 L .09398 .01472 L F .09418 .01472 m .09418 .20026 L .09498 .20026 L .09498 .01472 L F .09518 .01472 m .09518 .19943 L .09598 .19943 L .09598 .01472 L F .09618 .01472 m .09618 .19861 L .09698 .19861 L .09698 .01472 L F .09718 .01472 m .09718 .1978 L .09798 .1978 L .09798 .01472 L F .09818 .01472 m .09818 .197 L .09898 .197 L .09898 .01472 L F .09918 .01472 m .09918 .19621 L .09998 .19621 L .09998 .01472 L F .10018 .01472 m .10018 .19542 L .10098 .19542 L .10098 .01472 L F .10118 .01472 m .10118 .19464 L .10198 .19464 L .10198 .01472 L F .10218 .01472 m .10218 .19387 L .10298 .19387 L .10298 .01472 L F .10318 .01472 m .10318 .19311 L .10398 .19311 L .10398 .01472 L F .10418 .01472 m .10418 .19235 L .10498 .19235 L .10498 .01472 L F .10518 .01472 m .10518 .1916 L .10598 .1916 L .10598 .01472 L F .10618 .01472 m .10618 .19086 L .10698 .19086 L .10698 .01472 L F .10718 .01472 m .10718 .19013 L .10798 .19013 L .10798 .01472 L F .10818 .01472 m .10818 .1894 L .10898 .1894 L .10898 .01472 L F .10918 .01472 m .10918 .18868 L .10998 .18868 L .10998 .01472 L F .11018 .01472 m .11018 .18796 L .11098 .18796 L .11098 .01472 L F .11118 .01472 m .11118 .18725 L .11198 .18725 L .11198 .01472 L F .11218 .01472 m .11218 .18655 L .11298 .18655 L .11298 .01472 L F .11318 .01472 m .11318 .18586 L .11398 .18586 L .11398 .01472 L F .11418 .01472 m .11418 .18517 L .11498 .18517 L .11498 .01472 L F .11518 .01472 m .11518 .18448 L .11598 .18448 L .11598 .01472 L F .11618 .01472 m .11618 .1838 L .11698 .1838 L .11698 .01472 L F .11718 .01472 m .11718 .18313 L .11798 .18313 L .11798 .01472 L F .11818 .01472 m .11818 .18247 L .11898 .18247 L .11898 .01472 L F .11918 .01472 m .11918 .1818 L .11998 .1818 L .11998 .01472 L F .12018 .01472 m .12018 .18115 L .12098 .18115 L .12098 .01472 L F .12118 .01472 m .12118 .1805 L .12198 .1805 L .12198 .01472 L F .12218 .01472 m .12218 .17986 L .12298 .17986 L .12298 .01472 L F .12318 .01472 m .12318 .17922 L .12398 .17922 L .12398 .01472 L F .12418 .01472 m .12418 .17858 L .12498 .17858 L .12498 .01472 L F .12517 .01472 m .12517 .17795 L .12597 .17795 L .12597 .01472 L F .12617 .01472 m .12617 .17733 L .12697 .17733 L .12697 .01472 L F .12717 .01472 m .12717 .17671 L .12797 .17671 L .12797 .01472 L F .12817 .01472 m .12817 .1761 L .12897 .1761 L .12897 .01472 L F .12917 .01472 m .12917 .17549 L .12997 .17549 L .12997 .01472 L F .13017 .01472 m .13017 .17488 L .13097 .17488 L .13097 .01472 L F .13117 .01472 m .13117 .17428 L .13197 .17428 L .13197 .01472 L F .13217 .01472 m .13217 .17368 L .13297 .17368 L .13297 .01472 L F .13317 .01472 m .13317 .17309 L .13397 .17309 L .13397 .01472 L F .13417 .01472 m .13417 .17251 L .13497 .17251 L .13497 .01472 L F .13517 .01472 m .13517 .17192 L .13597 .17192 L .13597 .01472 L F .13617 .01472 m .13617 .17135 L .13697 .17135 L .13697 .01472 L F .13717 .01472 m .13717 .17077 L .13797 .17077 L .13797 .01472 L F .13817 .01472 m .13817 .1702 L .13897 .1702 L .13897 .01472 L F .13917 .01472 m .13917 .16964 L .13997 .16964 L .13997 .01472 L F .14017 .01472 m .14017 .16907 L .14097 .16907 L .14097 .01472 L F .14117 .01472 m .14117 .16852 L .14197 .16852 L .14197 .01472 L F .14217 .01472 m .14217 .16796 L .14297 .16796 L .14297 .01472 L F .14317 .01472 m .14317 .16741 L .14397 .16741 L .14397 .01472 L F .14417 .01472 m .14417 .16687 L .14497 .16687 L .14497 .01472 L F .14517 .01472 m .14517 .16633 L .14597 .16633 L .14597 .01472 L F .14617 .01472 m .14617 .16579 L .14697 .16579 L .14697 .01472 L F .14717 .01472 m .14717 .16525 L .14797 .16525 L .14797 .01472 L F .14817 .01472 m .14817 .16472 L .14897 .16472 L .14897 .01472 L F .14917 .01472 m .14917 .16419 L .14997 .16419 L .14997 .01472 L F .15017 .01472 m .15017 .16367 L .15097 .16367 L .15097 .01472 L F .15117 .01472 m .15117 .16315 L .15197 .16315 L .15197 .01472 L F .15217 .01472 m .15217 .16263 L .15297 .16263 L .15297 .01472 L F .15317 .01472 m .15317 .16212 L .15397 .16212 L .15397 .01472 L F .15417 .01472 m .15417 .16161 L .15497 .16161 L .15497 .01472 L F .15517 .01472 m .15517 .1611 L .15597 .1611 L .15597 .01472 L F .15617 .01472 m .15617 .16059 L .15697 .16059 L .15697 .01472 L F .15717 .01472 m .15717 .16009 L .15797 .16009 L .15797 .01472 L F .15817 .01472 m .15817 .1596 L .15897 .1596 L .15897 .01472 L F .15917 .01472 m .15917 .1591 L .15997 .1591 L .15997 .01472 L F .16017 .01472 m .16017 .15861 L .16097 .15861 L .16097 .01472 L F .16117 .01472 m .16117 .15812 L .16197 .15812 L .16197 .01472 L F .16217 .01472 m .16217 .15764 L .16297 .15764 L .16297 .01472 L F .16317 .01472 m .16317 .15715 L .16397 .15715 L .16397 .01472 L F .16417 .01472 m .16417 .15667 L .16497 .15667 L .16497 .01472 L F .16517 .01472 m .16517 .1562 L .16597 .1562 L .16597 .01472 L F .16617 .01472 m .16617 .15572 L .16697 .15572 L .16697 .01472 L F .16717 .01472 m .16717 .15525 L .16797 .15525 L .16797 .01472 L F .16817 .01472 m .16817 .15479 L .16897 .15479 L .16897 .01472 L F .16917 .01472 m .16917 .15432 L .16997 .15432 L .16997 .01472 L F .17017 .01472 m .17017 .15386 L .17097 .15386 L .17097 .01472 L F .17117 .01472 m .17117 .1534 L .17197 .1534 L .17197 .01472 L F .17217 .01472 m .17217 .15294 L .17297 .15294 L .17297 .01472 L F .17317 .01472 m .17317 .15249 L .17397 .15249 L .17397 .01472 L F .17417 .01472 m .17417 .15203 L .17497 .15203 L .17497 .01472 L F .17516 .01472 m .17516 .15158 L .17596 .15158 L .17596 .01472 L F .17616 .01472 m .17616 .15114 L .17696 .15114 L .17696 .01472 L F .17716 .01472 m .17716 .15069 L .17796 .15069 L .17796 .01472 L F .17816 .01472 m .17816 .15025 L .17896 .15025 L .17896 .01472 L F .17916 .01472 m .17916 .14981 L .17996 .14981 L .17996 .01472 L F .18016 .01472 m .18016 .14938 L .18096 .14938 L .18096 .01472 L F .18116 .01472 m .18116 .14894 L .18196 .14894 L .18196 .01472 L F .18216 .01472 m .18216 .14851 L .18296 .14851 L .18296 .01472 L F .18316 .01472 m .18316 .14808 L .18396 .14808 L .18396 .01472 L F .18416 .01472 m .18416 .14765 L .18496 .14765 L .18496 .01472 L F .18516 .01472 m .18516 .14723 L .18596 .14723 L .18596 .01472 L F .18616 .01472 m .18616 .1468 L .18696 .1468 L .18696 .01472 L F .18716 .01472 m .18716 .14638 L .18796 .14638 L .18796 .01472 L F .18816 .01472 m .18816 .14597 L .18896 .14597 L .18896 .01472 L F .18916 .01472 m .18916 .14555 L .18996 .14555 L .18996 .01472 L F .19016 .01472 m .19016 .14514 L .19096 .14514 L .19096 .01472 L F .19116 .01472 m .19116 .14472 L .19196 .14472 L .19196 .01472 L F .19216 .01472 m .19216 .14431 L .19296 .14431 L .19296 .01472 L F .19316 .01472 m .19316 .14391 L .19396 .14391 L .19396 .01472 L F .19416 .01472 m .19416 .1435 L .19496 .1435 L .19496 .01472 L F .19516 .01472 m .19516 .1431 L .19596 .1431 L .19596 .01472 L F .19616 .01472 m .19616 .1427 L .19696 .1427 L .19696 .01472 L F .19716 .01472 m .19716 .1423 L .19796 .1423 L .19796 .01472 L F .19816 .01472 m .19816 .1419 L .19896 .1419 L .19896 .01472 L F .19916 .01472 m .19916 .14151 L .19996 .14151 L .19996 .01472 L F 1 .5 0 r .20016 .01472 m .20016 .14111 L .20096 .14111 L .20096 .01472 L F .20116 .01472 m .20116 .14072 L .20196 .14072 L .20196 .01472 L F .20216 .01472 m .20216 .14033 L .20296 .14033 L .20296 .01472 L F .20316 .01472 m .20316 .13994 L .20396 .13994 L .20396 .01472 L F .20416 .01472 m .20416 .13956 L .20496 .13956 L .20496 .01472 L F .20516 .01472 m .20516 .13918 L .20596 .13918 L .20596 .01472 L F .20616 .01472 m .20616 .13879 L .20696 .13879 L .20696 .01472 L F .20716 .01472 m .20716 .13841 L .20796 .13841 L .20796 .01472 L F .20816 .01472 m .20816 .13804 L .20896 .13804 L .20896 .01472 L F .20916 .01472 m .20916 .13766 L .20996 .13766 L .20996 .01472 L F .21016 .01472 m .21016 .13729 L .21096 .13729 L .21096 .01472 L F .21116 .01472 m .21116 .13691 L .21196 .13691 L .21196 .01472 L F .21216 .01472 m .21216 .13654 L .21296 .13654 L .21296 .01472 L F .21316 .01472 m .21316 .13617 L .21396 .13617 L .21396 .01472 L F .21416 .01472 m .21416 .13581 L .21496 .13581 L .21496 .01472 L F .21516 .01472 m .21516 .13544 L .21596 .13544 L .21596 .01472 L F .21616 .01472 m .21616 .13508 L .21696 .13508 L .21696 .01472 L F .21716 .01472 m .21716 .13471 L .21796 .13471 L .21796 .01472 L F .21816 .01472 m .21816 .13435 L .21896 .13435 L .21896 .01472 L F .21916 .01472 m .21916 .13399 L .21996 .13399 L .21996 .01472 L F .22016 .01472 m .22016 .13364 L .22096 .13364 L .22096 .01472 L F .22116 .01472 m .22116 .13328 L .22196 .13328 L .22196 .01472 L F .22216 .01472 m .22216 .13293 L .22296 .13293 L .22296 .01472 L F .22316 .01472 m .22316 .13257 L .22396 .13257 L .22396 .01472 L F .22416 .01472 m .22416 .13222 L .22496 .13222 L .22496 .01472 L F .22515 .01472 m .22515 .13187 L .22595 .13187 L .22595 .01472 L F .22615 .01472 m .22615 .13152 L .22695 .13152 L .22695 .01472 L F .22715 .01472 m .22715 .13118 L .22795 .13118 L .22795 .01472 L F .22815 .01472 m .22815 .13083 L .22895 .13083 L .22895 .01472 L F .22915 .01472 m .22915 .13049 L .22995 .13049 L .22995 .01472 L F .23015 .01472 m .23015 .13015 L .23095 .13015 L .23095 .01472 L F .23115 .01472 m .23115 .12981 L .23195 .12981 L .23195 .01472 L F .23215 .01472 m .23215 .12947 L .23295 .12947 L .23295 .01472 L F .23315 .01472 m .23315 .12913 L .23395 .12913 L .23395 .01472 L F .23415 .01472 m .23415 .1288 L .23495 .1288 L .23495 .01472 L F .23515 .01472 m .23515 .12846 L .23595 .12846 L .23595 .01472 L F .23615 .01472 m .23615 .12813 L .23695 .12813 L .23695 .01472 L F .23715 .01472 m .23715 .1278 L .23795 .1278 L .23795 .01472 L F .23815 .01472 m .23815 .12747 L .23895 .12747 L .23895 .01472 L F .23915 .01472 m .23915 .12714 L .23995 .12714 L .23995 .01472 L F .24015 .01472 m .24015 .12681 L .24095 .12681 L .24095 .01472 L F .24115 .01472 m .24115 .12648 L .24195 .12648 L .24195 .01472 L F .24215 .01472 m .24215 .12616 L .24295 .12616 L .24295 .01472 L F .24315 .01472 m .24315 .12583 L .24395 .12583 L .24395 .01472 L F .24415 .01472 m .24415 .12551 L .24495 .12551 L .24495 .01472 L F .24515 .01472 m .24515 .12519 L .24595 .12519 L .24595 .01472 L F .24615 .01472 m .24615 .12487 L .24695 .12487 L .24695 .01472 L F .24715 .01472 m .24715 .12455 L .24795 .12455 L .24795 .01472 L F .24815 .01472 m .24815 .12424 L .24895 .12424 L .24895 .01472 L F .24915 .01472 m .24915 .12392 L .24995 .12392 L .24995 .01472 L F .25015 .01472 m .25015 .12361 L .25095 .12361 L .25095 .01472 L F .25115 .01472 m .25115 .12329 L .25195 .12329 L .25195 .01472 L F .25215 .01472 m .25215 .12298 L .25295 .12298 L .25295 .01472 L F .25315 .01472 m .25315 .12267 L .25395 .12267 L .25395 .01472 L F .25415 .01472 m .25415 .12236 L .25495 .12236 L .25495 .01472 L F .25515 .01472 m .25515 .12205 L .25595 .12205 L .25595 .01472 L F .25615 .01472 m .25615 .12174 L .25695 .12174 L .25695 .01472 L F .25715 .01472 m .25715 .12144 L .25795 .12144 L .25795 .01472 L F .25815 .01472 m .25815 .12113 L .25895 .12113 L .25895 .01472 L F .25915 .01472 m .25915 .12083 L .25995 .12083 L .25995 .01472 L F .26015 .01472 m .26015 .12053 L .26095 .12053 L .26095 .01472 L F .26115 .01472 m .26115 .12023 L .26195 .12023 L .26195 .01472 L F .26215 .01472 m .26215 .11993 L .26295 .11993 L .26295 .01472 L F .26315 .01472 m .26315 .11963 L .26395 .11963 L .26395 .01472 L F .26415 .01472 m .26415 .11933 L .26495 .11933 L .26495 .01472 L F .26515 .01472 m .26515 .11903 L .26595 .11903 L .26595 .01472 L F .26615 .01472 m .26615 .11874 L .26695 .11874 L .26695 .01472 L F .26715 .01472 m .26715 .11844 L .26795 .11844 L .26795 .01472 L F .26815 .01472 m .26815 .11815 L .26895 .11815 L .26895 .01472 L F .26915 .01472 m .26915 .11786 L .26995 .11786 L .26995 .01472 L F .27015 .01472 m .27015 .11757 L .27095 .11757 L .27095 .01472 L F .27115 .01472 m .27115 .11728 L .27195 .11728 L .27195 .01472 L F .27215 .01472 m .27215 .11699 L .27295 .11699 L .27295 .01472 L F .27315 .01472 m .27315 .1167 L .27395 .1167 L .27395 .01472 L F .27415 .01472 m .27415 .11641 L .27495 .11641 L .27495 .01472 L F .27514 .01472 m .27514 .11613 L .27594 .11613 L .27594 .01472 L F .27614 .01472 m .27614 .11584 L .27694 .11584 L .27694 .01472 L F .27714 .01472 m .27714 .11556 L .27794 .11556 L .27794 .01472 L F .27814 .01472 m .27814 .11527 L .27894 .11527 L .27894 .01472 L F .27914 .01472 m .27914 .11499 L .27994 .11499 L .27994 .01472 L F .28014 .01472 m .28014 .11471 L .28094 .11471 L .28094 .01472 L F .28114 .01472 m .28114 .11443 L .28194 .11443 L .28194 .01472 L F .28214 .01472 m .28214 .11415 L .28294 .11415 L .28294 .01472 L F .28314 .01472 m .28314 .11387 L .28394 .11387 L .28394 .01472 L F .28414 .01472 m .28414 .1136 L .28494 .1136 L .28494 .01472 L F .28514 .01472 m .28514 .11332 L .28594 .11332 L .28594 .01472 L F .28614 .01472 m .28614 .11305 L .28694 .11305 L .28694 .01472 L F .28714 .01472 m .28714 .11277 L .28794 .11277 L .28794 .01472 L F .28814 .01472 m .28814 .1125 L .28894 .1125 L .28894 .01472 L F .28914 .01472 m .28914 .11223 L .28994 .11223 L .28994 .01472 L F .29014 .01472 m .29014 .11196 L .29094 .11196 L .29094 .01472 L F .29114 .01472 m .29114 .11169 L .29194 .11169 L .29194 .01472 L F .29214 .01472 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m .44411 .07851 L .44491 .07851 L .44491 .01472 L F .44511 .01472 m .44511 .07833 L .44591 .07833 L .44591 .01472 L F .44611 .01472 m .44611 .07816 L .44691 .07816 L .44691 .01472 L F .44711 .01472 m .44711 .07798 L .44791 .07798 L .44791 .01472 L F .44811 .01472 m .44811 .07781 L .44891 .07781 L .44891 .01472 L F .44911 .01472 m .44911 .07763 L .44991 .07763 L .44991 .01472 L F .45011 .01472 m .45011 .07746 L .45091 .07746 L .45091 .01472 L F .45111 .01472 m .45111 .07728 L .45191 .07728 L .45191 .01472 L F .45211 .01472 m .45211 .07711 L .45291 .07711 L .45291 .01472 L F .45311 .01472 m .45311 .07693 L .45391 .07693 L .45391 .01472 L F .45411 .01472 m .45411 .07676 L .45491 .07676 L .45491 .01472 L F .45511 .01472 m .45511 .07659 L .45591 .07659 L .45591 .01472 L F .45611 .01472 m .45611 .07642 L .45691 .07642 L .45691 .01472 L F .45711 .01472 m .45711 .07624 L .45791 .07624 L .45791 .01472 L F .45811 .01472 m .45811 .07607 L .45891 .07607 L .45891 .01472 L F .45911 .01472 m .45911 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.42871 Mdot .74846 .42855 Mdot .7489 .42838 Mdot .74934 .42822 Mdot .74978 .42806 Mdot .75022 .42789 Mdot .75066 .42773 Mdot .7511 .42757 Mdot .75154 .42741 Mdot .75197 .42724 Mdot .75241 .42708 Mdot .75284 .42692 Mdot .75328 .42675 Mdot .75371 .42659 Mdot .75414 .42643 Mdot .75457 .42626 Mdot .755 .4261 Mdot .75543 .42594 Mdot .75586 .42577 Mdot .75629 .42561 Mdot .75672 .42545 Mdot .75714 .42528 Mdot .75757 .42512 Mdot .758 .42496 Mdot .75842 .4248 Mdot .75884 .42463 Mdot .75927 .42447 Mdot .75969 .42431 Mdot .76011 .42414 Mdot .76053 .42398 Mdot .76095 .42381 Mdot .76137 .42365 Mdot .76179 .42349 Mdot .7622 .42332 Mdot .76262 .42316 Mdot .76304 .423 Mdot .76345 .42283 Mdot .76387 .42267 Mdot .76428 .42251 Mdot .76469 .42234 Mdot .76511 .42218 Mdot .76552 .42202 Mdot .76593 .42185 Mdot .76634 .42169 Mdot .76675 .42152 Mdot .76716 .42136 Mdot .76756 .4212 Mdot .76797 .42103 Mdot .76838 .42087 Mdot .76878 .4207 Mdot .76919 .42054 Mdot .76959 .42038 Mdot .77 .42021 Mdot .7704 .42005 Mdot .7708 .41988 Mdot .77121 .41972 Mdot .77161 .41956 Mdot .77201 .41939 Mdot .77241 .41923 Mdot .77281 .41906 Mdot .7732 .4189 Mdot .7736 .41873 Mdot .774 .41857 Mdot .77439 .41841 Mdot .77479 .41824 Mdot .77518 .41808 Mdot .77558 .41791 Mdot .77597 .41775 Mdot .77637 .41758 Mdot .77676 .41742 Mdot .77715 .41725 Mdot .77754 .41709 Mdot .77793 .41692 Mdot .77832 .41676 Mdot .77871 .41659 Mdot .7791 .41643 Mdot .77949 .41626 Mdot .77987 .4161 Mdot .78026 .41593 Mdot .78064 .41577 Mdot .78103 .4156 Mdot .78141 .41544 Mdot .7818 .41527 Mdot .78218 .4151 Mdot .78256 .41494 Mdot .78295 .41477 Mdot .78333 .41461 Mdot .78371 .41444 Mdot .78409 .41428 Mdot .78447 .41411 Mdot .78485 .41394 Mdot .78523 .41378 Mdot .7856 .41361 Mdot .78598 .41345 Mdot .78636 .41328 Mdot .78673 .41311 Mdot .78711 .41295 Mdot .78748 .41278 Mdot .78786 .41261 Mdot .78823 .41245 Mdot .7886 .41228 Mdot .78898 .41212 Mdot .78935 .41195 Mdot .78972 .41178 Mdot .79009 .41162 Mdot .79046 .41145 Mdot .79083 .41128 Mdot .7912 .41111 Mdot .79156 .41095 Mdot .79193 .41078 Mdot .7923 .41061 Mdot .79267 .41045 Mdot .79303 .41028 Mdot .7934 .41011 Mdot .79376 .40994 Mdot .79413 .40978 Mdot .79449 .40961 Mdot .79485 .40944 Mdot .79522 .40927 Mdot .79558 .4091 Mdot .79594 .40894 Mdot .7963 .40877 Mdot .79666 .4086 Mdot .79702 .40843 Mdot .79738 .40826 Mdot .79774 .4081 Mdot .7981 .40793 Mdot .79845 .40776 Mdot .79881 .40759 Mdot .79917 .40742 Mdot .79952 .40725 Mdot .79988 .40708 Mdot .80023 .40691 Mdot .80059 .40675 Mdot .80094 .40658 Mdot .80129 .40641 Mdot .80165 .40624 Mdot .802 .40607 Mdot .80235 .4059 Mdot .8027 .40573 Mdot .80305 .40556 Mdot .8034 .40539 Mdot .80375 .40522 Mdot .8041 .40505 Mdot .80445 .40488 Mdot .8048 .40471 Mdot .80514 .40454 Mdot .80549 .40437 Mdot .80584 .4042 Mdot .80618 .40403 Mdot .80653 .40386 Mdot .80687 .40369 Mdot .80722 .40352 Mdot .80756 .40335 Mdot .8079 .40318 Mdot .80825 .40301 Mdot .80859 .40283 Mdot .80893 .40266 Mdot .80927 .40249 Mdot .80961 .40232 Mdot .80995 .40215 Mdot .81029 .40198 Mdot .81063 .40181 Mdot .81097 .40163 Mdot .81131 .40146 Mdot .81165 .40129 Mdot .81199 .40112 Mdot .81232 .40095 Mdot .81266 .40077 Mdot .813 .4006 Mdot .81333 .40043 Mdot .81367 .40026 Mdot .814 .40008 Mdot .81433 .39991 Mdot .81467 .39974 Mdot .815 .39956 Mdot .81533 .39939 Mdot .81567 .39922 Mdot .816 .39904 Mdot .81633 .39887 Mdot .81666 .3987 Mdot .81699 .39852 Mdot .81732 .39835 Mdot .81765 .39818 Mdot .81798 .398 Mdot .81831 .39783 Mdot .81863 .39765 Mdot .81896 .39748 Mdot .81929 .3973 Mdot .81962 .39713 Mdot .81994 .39695 Mdot .82027 .39678 Mdot .82059 .3966 Mdot .82092 .39643 Mdot .82124 .39625 Mdot .82157 .39608 Mdot .82189 .3959 Mdot .82221 .39573 Mdot .82253 .39555 Mdot .82286 .39538 Mdot .82318 .3952 Mdot .8235 .39502 Mdot .82382 .39485 Mdot .82414 .39467 Mdot .82446 .39449 Mdot .82478 .39432 Mdot .8251 .39414 Mdot .82542 .39396 Mdot .82573 .39379 Mdot .82605 .39361 Mdot .82637 .39343 Mdot .82669 .39325 Mdot .827 .39308 Mdot .82732 .3929 Mdot .82763 .39272 Mdot .82795 .39254 Mdot .82826 .39236 Mdot .82858 .39219 Mdot .82889 .39201 Mdot .82921 .39183 Mdot .82952 .39165 Mdot .82983 .39147 Mdot .83014 .39129 Mdot .83046 .39111 Mdot .83077 .39093 Mdot .83108 .39075 Mdot .83139 .39058 Mdot .8317 .3904 Mdot .83201 .39022 Mdot .83232 .39004 Mdot .83263 .38986 Mdot .83294 .38967 Mdot .83324 .38949 Mdot .83355 .38931 Mdot .83386 .38913 Mdot .83417 .38895 Mdot .83447 .38877 Mdot .83478 .38859 Mdot .83508 .38841 Mdot .83539 .38823 Mdot .83569 .38805 Mdot .836 .38786 Mdot .8363 .38768 Mdot .83661 .3875 Mdot .83691 .38732 Mdot .83721 .38713 Mdot .83751 .38695 Mdot .83782 .38677 Mdot .83812 .38659 Mdot .83842 .3864 Mdot .83872 .38622 Mdot .83902 .38604 Mdot .83932 .38585 Mdot .83962 .38567 Mdot .83992 .38548 Mdot .84022 .3853 Mdot .84052 .38512 Mdot .84082 .38493 Mdot .84111 .38475 Mdot .84141 .38456 Mdot .84171 .38438 Mdot .84201 .38419 Mdot .8423 .38401 Mdot .8426 .38382 Mdot .84289 .38364 Mdot .84319 .38345 Mdot .84348 .38326 Mdot .84378 .38308 Mdot .84407 .38289 Mdot .84437 .3827 Mdot .84466 .38252 Mdot .84495 .38233 Mdot .84525 .38214 Mdot .84554 .38196 Mdot .84583 .38177 Mdot .84612 .38158 Mdot .84641 .38139 Mdot .8467 .3812 Mdot .84699 .38102 Mdot .84728 .38083 Mdot .84757 .38064 Mdot .84786 .38045 Mdot .84815 .38026 Mdot .84844 .38007 Mdot .84873 .37988 Mdot .84902 .37969 Mdot .8493 .3795 Mdot .84959 .37931 Mdot .84988 .37912 Mdot .85017 .37893 Mdot .85045 .37874 Mdot .85074 .37855 Mdot .85102 .37836 Mdot .85131 .37817 Mdot .85159 .37798 Mdot .85188 .37779 Mdot .85216 .37759 Mdot .85245 .3774 Mdot .85273 .37721 Mdot .85301 .37702 Mdot .8533 .37683 Mdot .85358 .37663 Mdot .85386 .37644 Mdot .85414 .37625 Mdot .85442 .37605 Mdot .8547 .37586 Mdot .85498 .37567 Mdot .85526 .37547 Mdot .85555 .37528 Mdot .85582 .37508 Mdot .8561 .37489 Mdot .85638 .37469 Mdot .85666 .3745 Mdot .85694 .3743 Mdot .85722 .37411 Mdot .8575 .37391 Mdot .85777 .37371 Mdot .85805 .37352 Mdot .85833 .37332 Mdot .8586 .37312 Mdot .85888 .37293 Mdot .85916 .37273 Mdot .85943 .37253 Mdot .85971 .37233 Mdot .85998 .37214 Mdot .86026 .37194 Mdot .86053 .37174 Mdot .8608 .37154 Mdot .86108 .37134 Mdot .86135 .37114 Mdot .86162 .37094 Mdot .8619 .37074 Mdot .86217 .37054 Mdot .86244 .37034 Mdot .86271 .37014 Mdot .86298 .36994 Mdot .86325 .36974 Mdot .86352 .36954 Mdot .86379 .36934 Mdot .86406 .36914 Mdot .86433 .36894 Mdot .8646 .36874 Mdot .86487 .36853 Mdot .86514 .36833 Mdot .86541 .36813 Mdot .86568 .36792 Mdot .86595 .36772 Mdot .86621 .36752 Mdot .86648 .36731 Mdot .86675 .36711 Mdot .86701 .3669 Mdot .86728 .3667 Mdot .86755 .3665 Mdot .86781 .36629 Mdot .86808 .36608 Mdot .86834 .36588 Mdot .86861 .36567 Mdot .86887 .36547 Mdot .86914 .36526 Mdot .8694 .36505 Mdot .86966 .36485 Mdot .86993 .36464 Mdot .87019 .36443 Mdot .87045 .36422 Mdot .87072 .36401 Mdot .87098 .36381 Mdot .87124 .3636 Mdot .8715 .36339 Mdot .87176 .36318 Mdot .87202 .36297 Mdot .87229 .36276 Mdot .87255 .36255 Mdot .87281 .36234 Mdot .87307 .36213 Mdot .87333 .36192 Mdot .87358 .3617 Mdot .87384 .36149 Mdot .8741 .36128 Mdot .87436 .36107 Mdot .87462 .36086 Mdot .87488 .36064 Mdot .87513 .36043 Mdot .87539 .36022 Mdot .87565 .36 Mdot .8759 .35979 Mdot .87616 .35957 Mdot .87642 .35936 Mdot .87667 .35914 Mdot .87693 .35893 Mdot .87718 .35871 Mdot .87744 .3585 Mdot .87769 .35828 Mdot .87795 .35806 Mdot .8782 .35785 Mdot .87846 .35763 Mdot .87871 .35741 Mdot .87896 .35719 Mdot .87922 .35697 Mdot .87947 .35676 Mdot .87972 .35654 Mdot .87997 .35632 Mdot .88023 .3561 Mdot .88048 .35588 Mdot .88073 .35566 Mdot .88098 .35544 Mdot .88123 .35522 Mdot .88148 .35499 Mdot .88173 .35477 Mdot .88198 .35455 Mdot .88223 .35433 Mdot .88248 .3541 Mdot .88273 .35388 Mdot .88298 .35366 Mdot .88323 .35343 Mdot .88348 .35321 Mdot .88373 .35298 Mdot .88397 .35276 Mdot .88422 .35253 Mdot .88447 .35231 Mdot .88472 .35208 Mdot .88496 .35186 Mdot .88521 .35163 Mdot .88546 .3514 Mdot .8857 .35117 Mdot .88595 .35095 Mdot .88619 .35072 Mdot .88644 .35049 Mdot .88669 .35026 Mdot .88693 .35003 Mdot .88717 .3498 Mdot .88742 .34957 Mdot .88766 .34934 Mdot .88791 .34911 Mdot .88815 .34888 Mdot .88839 .34865 Mdot .88864 .34841 Mdot .88888 .34818 Mdot .88912 .34795 Mdot .88936 .34771 Mdot .88961 .34748 Mdot .88985 .34725 Mdot .89009 .34701 Mdot .89033 .34678 Mdot .89057 .34654 Mdot .89081 .3463 Mdot .89105 .34607 Mdot .89129 .34583 Mdot .89153 .34559 Mdot .89177 .34536 Mdot .89201 .34512 Mdot .89225 .34488 Mdot .89249 .34464 Mdot .89273 .3444 Mdot .89297 .34416 Mdot .89321 .34392 Mdot .89345 .34368 Mdot .89368 .34344 Mdot .89392 .3432 Mdot .89416 .34296 Mdot .8944 .34271 Mdot .89463 .34247 Mdot .89487 .34223 Mdot .89511 .34198 Mdot .89534 .34174 Mdot .89558 .34149 Mdot .89582 .34125 Mdot .89605 .341 Mdot .89629 .34076 Mdot .89652 .34051 Mdot .89676 .34026 Mdot .89699 .34001 Mdot .89722 .33977 Mdot .89746 .33952 Mdot .89769 .33927 Mdot .89793 .33902 Mdot .89816 .33877 Mdot .89839 .33852 Mdot .89863 .33827 Mdot .89886 .33802 Mdot .89909 .33776 Mdot .89932 .33751 Mdot .89956 .33726 Mdot .89979 .337 Mdot .90002 .33675 Mdot .90025 .3365 Mdot .90048 .33624 Mdot .90071 .33598 Mdot .90094 .33573 Mdot .90117 .33547 Mdot .9014 .33521 Mdot .90163 .33496 Mdot .90186 .3347 Mdot .90209 .33444 Mdot .90232 .33418 Mdot .90255 .33392 Mdot .90278 .33366 Mdot .90301 .3334 Mdot .90324 .33314 Mdot .90347 .33287 Mdot .90369 .33261 Mdot .90392 .33235 Mdot .90415 .33208 Mdot .90438 .33182 Mdot .9046 .33155 Mdot .90483 .33129 Mdot .90506 .33102 Mdot .90528 .33075 Mdot .90551 .33049 Mdot .90573 .33022 Mdot .90596 .32995 Mdot .90619 .32968 Mdot .90641 .32941 Mdot .90664 .32914 Mdot .90686 .32887 Mdot .90709 .3286 Mdot .90731 .32833 Mdot .90753 .32805 Mdot .90776 .32778 Mdot .90798 .3275 Mdot .90821 .32723 Mdot .90843 .32695 Mdot .90865 .32668 Mdot .90888 .3264 Mdot .9091 .32612 Mdot .90932 .32585 Mdot .90954 .32557 Mdot .90977 .32529 Mdot .90999 .32501 Mdot .91021 .32473 Mdot .91043 .32444 Mdot .91065 .32416 Mdot .91087 .32388 Mdot .91109 .3236 Mdot .91131 .32331 Mdot .91153 .32303 Mdot .91175 .32274 Mdot .91197 .32246 Mdot .91219 .32217 Mdot .91241 .32188 Mdot .91263 .32159 Mdot .91285 .3213 Mdot .91307 .32101 Mdot .91329 .32072 Mdot .91351 .32043 Mdot .91373 .32014 Mdot .91395 .31985 Mdot .91416 .31955 Mdot .91438 .31926 Mdot .9146 .31896 Mdot .91482 .31867 Mdot .91503 .31837 Mdot .91525 .31807 Mdot .91547 .31777 Mdot .91568 .31748 Mdot .9159 .31718 Mdot .91612 .31688 Mdot .91633 .31657 Mdot .91655 .31627 Mdot .91676 .31597 Mdot .91698 .31567 Mdot .91719 .31536 Mdot .91741 .31506 Mdot .91762 .31475 Mdot .91784 .31444 Mdot .91805 .31413 Mdot .91827 .31382 Mdot .91848 .31352 Mdot .91869 .3132 Mdot .91891 .31289 Mdot .91912 .31258 Mdot .91933 .31227 Mdot .91955 .31195 Mdot .91976 .31164 Mdot .91997 .31132 Mdot .92019 .31101 Mdot .9204 .31069 Mdot .92061 .31037 Mdot .92082 .31005 Mdot .92103 .30973 Mdot .92125 .30941 Mdot .92146 .30909 Mdot .92167 .30876 Mdot .92188 .30844 Mdot .92209 .30811 Mdot .9223 .30779 Mdot .92251 .30746 Mdot .92272 .30713 Mdot .92293 .3068 Mdot .92314 .30647 Mdot .92335 .30614 Mdot .92356 .30581 Mdot .92377 .30548 Mdot .92398 .30514 Mdot .92419 .30481 Mdot .92439 .30447 Mdot .9246 .30413 Mdot .92481 .30379 Mdot .92502 .30346 Mdot .92523 .30311 Mdot .92543 .30277 Mdot .92564 .30243 Mdot .92585 .30209 Mdot .92606 .30174 Mdot .92626 .3014 Mdot .92647 .30105 Mdot .92668 .3007 Mdot .92688 .30035 Mdot .92709 .3 Mdot .9273 .29965 Mdot .9275 .2993 Mdot .92771 .29894 Mdot .92791 .29859 Mdot .92812 .29823 Mdot .92832 .29787 Mdot .92853 .29751 Mdot .92873 .29715 Mdot .92894 .29679 Mdot .92914 .29643 Mdot .92935 .29606 Mdot .92955 .2957 Mdot .92975 .29533 Mdot .92996 .29497 Mdot .93016 .2946 Mdot .93037 .29423 Mdot .93057 .29385 Mdot .93077 .29348 Mdot .93097 .29311 Mdot .93118 .29273 Mdot .93138 .29236 Mdot .93158 .29198 Mdot .93178 .2916 Mdot .93199 .29122 Mdot .93219 .29083 Mdot .93239 .29045 Mdot .93259 .29006 Mdot .93279 .28968 Mdot .93299 .28929 Mdot .93319 .2889 Mdot .9334 .28851 Mdot .9336 .28812 Mdot .9338 .28772 Mdot .934 .28733 Mdot .9342 .28693 Mdot .9344 .28653 Mdot .9346 .28613 Mdot .9348 .28573 Mdot .935 .28532 Mdot .93519 .28492 Mdot .93539 .28451 Mdot .93559 .2841 Mdot .93579 .28369 Mdot .93599 .28328 Mdot .93619 .28287 Mdot .93639 .28245 Mdot .93658 .28204 Mdot .93678 .28162 Mdot .93698 .2812 Mdot .93718 .28077 Mdot .93737 .28035 Mdot .93757 .27992 Mdot .93777 .2795 Mdot .93797 .27907 Mdot .93816 .27864 Mdot .93836 .2782 Mdot .93856 .27777 Mdot .93875 .27733 Mdot .93895 .27689 Mdot .93914 .27645 Mdot .93934 .27601 Mdot .93953 .27557 Mdot .93973 .27512 Mdot .93993 .27467 Mdot .94012 .27422 Mdot .94032 .27377 Mdot .94051 .27331 Mdot .9407 .27286 Mdot .9409 .2724 Mdot .94109 .27194 Mdot .94129 .27147 Mdot .94148 .27101 Mdot .94168 .27054 Mdot .94187 .27007 Mdot .94206 .2696 Mdot .94226 .26912 Mdot .94245 .26865 Mdot .94264 .26817 Mdot .94283 .26769 Mdot .94303 .2672 Mdot .94322 .26672 Mdot .94341 .26623 Mdot .9436 .26574 Mdot .9438 .26524 Mdot .94399 .26475 Mdot .94418 .26425 Mdot .94437 .26375 Mdot .94456 .26325 Mdot .94475 .26274 Mdot .94495 .26223 Mdot .94514 .26172 Mdot .94533 .2612 Mdot .94552 .26069 Mdot .94571 .26017 Mdot .9459 .25964 Mdot .94609 .25912 Mdot .94628 .25859 Mdot .94647 .25806 Mdot .94666 .25752 Mdot .94685 .25699 Mdot .94704 .25645 Mdot .94723 .2559 Mdot .94742 .25536 Mdot .9476 .25481 Mdot .94779 .25426 Mdot .94798 .2537 Mdot .94817 .25314 Mdot .94836 .25258 Mdot .94855 .25201 Mdot .94873 .25144 Mdot .94892 .25087 Mdot .94911 .25029 Mdot .9493 .24971 Mdot .94949 .24913 Mdot .94967 .24854 Mdot .94986 .24795 Mdot .95005 .24736 Mdot .95023 .24676 Mdot .95042 .24616 Mdot .95061 .24555 Mdot .95079 .24494 Mdot .95098 .24433 Mdot .95117 .24371 Mdot .95135 .24309 Mdot .95154 .24247 Mdot .95172 .24184 Mdot .95191 .2412 Mdot .95209 .24056 Mdot .95228 .23992 Mdot .95246 .23927 Mdot .95265 .23862 Mdot .95283 .23796 Mdot .95302 .2373 Mdot .9532 .23664 Mdot .95339 .23597 Mdot .95357 .23529 Mdot .95376 .23461 Mdot .95394 .23392 Mdot .95412 .23323 Mdot .95431 .23254 Mdot .95449 .23184 Mdot .95467 .23113 Mdot .95486 .23042 Mdot .95504 .2297 Mdot .95522 .22898 Mdot .9554 .22825 Mdot .95559 .22752 Mdot .95577 .22677 Mdot .95595 .22603 Mdot .95613 .22528 Mdot .95632 .22452 Mdot .9565 .22375 Mdot .95668 .22298 Mdot .95686 .2222 Mdot .95704 .22142 Mdot .95722 .22063 Mdot .95741 .21983 Mdot .95759 .21902 Mdot .95777 .21821 Mdot .95795 .21739 Mdot .95813 .21656 Mdot .95831 .21573 Mdot .95849 .21488 Mdot .95867 .21403 Mdot .95885 .21318 Mdot .95903 .21231 Mdot .95921 .21143 Mdot .95939 .21055 Mdot .95957 .20966 Mdot .95975 .20876 Mdot .95993 .20785 Mdot .96011 .20693 Mdot .96029 .206 Mdot .96046 .20506 Mdot .96064 .20411 Mdot .96082 .20315 Mdot .961 .20218 Mdot .96118 .2012 Mdot .96136 .20021 Mdot .96153 .19921 Mdot .96171 .19819 Mdot .96189 .19717 Mdot .96207 .19613 Mdot .96225 .19508 Mdot .96242 .19402 Mdot .9626 .19295 Mdot .96278 .19186 Mdot .96295 .19076 Mdot .96313 .18965 Mdot .96331 .18852 Mdot .96348 .18738 Mdot .96366 .18622 Mdot .96384 .18505 Mdot .96401 .18386 Mdot .96419 .18265 Mdot .96436 .18143 Mdot .96454 .18019 Mdot .96472 .17894 Mdot .96489 .17766 Mdot .96507 .17637 Mdot .96524 .17506 Mdot .96542 .17372 Mdot .96559 .17237 Mdot .96577 .171 Mdot .96594 .1696 Mdot .96612 .16818 Mdot .96629 .16674 Mdot .96646 .16528 Mdot .96664 .16379 Mdot .96681 .16227 Mdot .96699 .16073 Mdot .96716 .15916 Mdot .96733 .15756 Mdot .96751 .15593 Mdot .96768 .15427 Mdot .96785 .15257 Mdot .96803 .15085 Mdot .9682 .14909 Mdot .96837 .14729 Mdot .96855 .14545 Mdot .96872 .14358 Mdot .96889 .14166 Mdot .96906 .1397 Mdot .96924 .1377 Mdot .96941 .13564 Mdot .96958 .13354 Mdot .96975 .13139 Mdot .96992 .12917 Mdot .97009 .12691 Mdot .97027 .12458 Mdot .97044 .12218 Mdot .97061 .11972 Mdot .97078 .11718 Mdot .97095 .11457 Mdot .97112 .11188 Mdot .97129 .10909 Mdot .97146 .10622 Mdot .97163 .10324 Mdot .9718 .10016 Mdot .97197 .09696 Mdot .97214 .09364 Mdot .97231 .09018 Mdot .97248 .08658 Mdot .97265 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"SlideShow"], CellMargins->{{100, 50}, {8, 10}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Input", "Printout"], CellMargins->{{39, 0}, {4, 6}}, LinebreakAdjustments->{0.85, 2, 10, 1, 1}, FontSize->9] }, Open ]], Cell[CellGroupData[{ Cell[StyleData["InputOnly"], CellMargins->{{66, 10}, {7, 7}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, DefaultFormatType->DefaultInputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->"Mathematica", FormatType->InputForm, ShowStringCharacters->True, NumberMarks->True, LinebreakAdjustments->{0.85, 2, 10, 0, 1}, CounterIncrements->"Input", StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["InputOnly", "Presentation"], CellMargins->{{90, Inherited}, {8, 10}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["InputOnly", "SlideShow"], CellMargins->{{100, Inherited}, {8, 10}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["InputOnly", "Printout"], CellMargins->{{39, 0}, {4, 6}}, LinebreakAdjustments->{0.85, 2, 10, 1, 1}, FontSize->9] }, Open ]], Cell[CellGroupData[{ Cell[StyleData["Output"], CellMargins->{{66, 10}, {7, 5}}, CellEditDuplicate->True, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Output"], Cell[StyleData["Output", "Presentation"], CellMargins->{{90, 50}, {10, 8}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Output", "SlideShow"], CellMargins->{{100, 50}, {10, 8}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Output", "Printout"], CellMargins->{{39, 0}, {6, 4}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Message"], CellMargins->{{66, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, AutoStyleOptions->{"UnmatchedBracketStyle"->None}, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Message", StyleMenuListing->None, FontFamily->"Helvetica", FontSize->10, FontColor->RGBColor[0.0352941, 0.301961, 0.584314]], Cell[StyleData["Message", "Presentation"], CellMargins->{{90, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}, FontSize->14], Cell[StyleData["Message", "SlideShow"], CellMargins->{{100, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}, FontSize->14], Cell[StyleData["Message", "Printout"], CellMargins->{{39, Inherited}, {Inherited, Inherited}}, FontSize->7] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Print"], CellMargins->{{66, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, AutoItalicWords->{}, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Print", StyleMenuListing->None], Cell[StyleData["Print", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Print", "SlideShow"], CellMargins->{{100, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Print", "Printout"], CellMargins->{{39, Inherited}, {Inherited, Inherited}}, FontSize->8] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Graphics"], CellMargins->{{4, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, LanguageCategory->None, FormatType->InputForm, CounterIncrements->"Graphics", ImageMargins->{{43, Inherited}, {Inherited, 0}}, StyleMenuListing->None, FontFamily->"Courier", FontSize->10], Cell[StyleData["Graphics", "Presentation"], ImageMargins->{{62, Inherited}, {Inherited, 0}}], Cell[StyleData["Graphics", "SlideShow"], ImageMargins->{{100, Inherited}, {Inherited, 0}}], Cell[StyleData["Graphics", "Printout"], ImageMargins->{{30, Inherited}, {Inherited, 0}}, Magnification->0.8] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["CellLabel"], LanguageCategory->None, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontColor->RGBColor[0.24683, 0.609186, 0.818586]], Cell[StyleData["CellLabel", "Presentation"], FontSize->12], Cell[StyleData["CellLabel", "SlideShow"], FontSize->12], Cell[StyleData["CellLabel", "Printout"], FontFamily->"Courier", FontSize->8, FontSlant->"Italic"] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["FrameLabel"], LanguageCategory->None, StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9], Cell[StyleData["FrameLabel", "Presentation"], FontSize->12], Cell[StyleData["FrameLabel", "SlideShow"], FontSize->12], Cell[StyleData["FrameLabel", "Printout"], FontFamily->"Courier", FontSize->8, FontSlant->"Italic", FontColor->GrayLevel[0]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Presentation Specific", "Section"], Cell[CellGroupData[{ Cell[StyleData["BulletedList"], CellMargins->{{45, 10}, {7, 7}}, CellFrameLabels->{{ Cell[ "\[FilledSmallSquare]", "BulletedList", CellBaseline -> Baseline], Inherited}, {Inherited, Inherited}}, InputAutoReplacements->{"TeX"->StyleBox[ RowBox[ {"T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "LaTeX"->StyleBox[ RowBox[ {"L", StyleBox[ AdjustmentBox[ "A", BoxMargins -> {{-0.36, -0.1}, {0, 0}}, BoxBaselineShift -> -0.2], FontSize -> Smaller], "T", AdjustmentBox[ "E", BoxMargins -> {{-0.075, -0.085}, {0, 0}}, BoxBaselineShift -> 0.5], "X"}]], "mma"->"Mathematica", "Mma"->"Mathematica", "MMA"->"Mathematica", "gridMathematica"->FormBox[ RowBox[ {"grid", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], "webMathematica"->FormBox[ RowBox[ {"web", AdjustmentBox[ StyleBox[ "Mathematica", FontSlant -> "Italic"], BoxMargins -> {{-0.175, 0}, {0, 0}}]}], TextForm], Inherited}, CounterIncrements->"BulletedList", FontFamily->"Helvetica"], Cell[StyleData["BulletedList", "Presentation"], CellMargins->{{56, 50}, {10, 10}}, LineSpacing->{1, 5}, FontSize->18], Cell[StyleData["BulletedList", "SlideShow"], CellMargins->{{85, 50}, {10, 10}}, FontSize->18], Cell[StyleData["BulletedList", "Printout"], CellMargins->{{2, 2}, {6, 6}}, TextJustification->0.5, Hyphenation->True, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Author"], CellMargins->{{139, 27}, {2, 20}}, FontFamily->"Times", FontSize->24, FontSlant->"Italic"], Cell[StyleData["Author", "Presentation"], CellMargins->{{198, 27}, {2, 25}}, FontSize->32], Cell[StyleData["Author", "SlideShow"], CellMargins->{{198, 27}, {2, 50}}, FontSize->32], Cell[StyleData["Author", "Printout"], CellMargins->{{100, 27}, {2, 20}}, FontSize->14] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Affiliation"], CellMargins->{{141, 27}, {30, 12}}, FontFamily->"Times", FontSize->24, FontSlant->"Italic"], Cell[StyleData["Affiliation", "Presentation"], CellMargins->{{198, 27}, {35, 10}}, FontSize->32], Cell[StyleData["Affiliation", "SlideShow"], CellMargins->{{198, 27}, {100, 10}}, FontSize->32], Cell[StyleData["Affiliation", "Printout"], CellMargins->{{100, 27}, {2, 12}}, FontSize->14] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Header Graphic", "Section"], Cell[CellGroupData[{ Cell[StyleData["ConferenceGraphicCell"], ShowCellBracket->True, CellMargins->{{0, 0}, {0, 0}}, Evaluatable->False, PageBreakBelow->False, ImageMargins->{{0, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, Background->GrayLevel[1], Magnification->1], Cell[StyleData["ConferenceGraphicCell", "Presentation"], ShowCellBracket->False], Cell[StyleData["ConferenceGraphicCell", "SlideShow"], ShowCellBracket->False], Cell[StyleData["ConferenceGraphicCell", "Printout"], FontSize->8, Magnification->0.75] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GraphicNoMagnification"], CellMargins->{{60, 10}, {7, 7}}, LineSpacing->{1, 3}, CounterIncrements->"Text", FontFamily->"Helvetica", Magnification->1], Cell[StyleData["GraphicNoMagnification", "Presentation"], CellMargins->{{72, 50}, {10, 10}}, LineSpacing->{1, 5}, FontSize->17], Cell[StyleData["GraphicNoMagnification", "SlideShow"], CellMargins->{{100, 50}, {10, 10}}, FontSize->17], Cell[StyleData["GraphicNoMagnification", "Printout"], CellMargins->{{2, 2}, {6, 6}}, FontSize->10] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Inline Formatting", "Section"], Cell["\<\ These styles are for modifying individual words or letters in a cell \ exclusive of the cell tag.\ \>", "Text"], Cell[StyleData["RM"], StyleMenuListing->None, FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["BF"], StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["IT"], StyleMenuListing->None, FontSlant->"Italic"], Cell[StyleData["TR"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["TI"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["TB"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["TBI"], StyleMenuListing->None, FontFamily->"Times", FontWeight->"Bold", FontSlant->"Italic"], Cell[StyleData["MR"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["MO"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["MB"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["MBO"], "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, StyleMenuListing->None, FontFamily->"Courier", FontWeight->"Bold", FontSlant->"Italic"], Cell[StyleData["SR"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Plain"], Cell[StyleData["SO"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["SB"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Bold", FontSlant->"Plain"], Cell[StyleData["SBO"], StyleMenuListing->None, FontFamily->"Helvetica", FontWeight->"Bold", FontSlant->"Italic"], Cell[CellGroupData[{ Cell[StyleData["SO10"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->10, FontWeight->"Plain", FontSlant->"Italic"], Cell[StyleData["SO10", "Printout"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->7, FontWeight->"Plain", FontSlant->"Italic"] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Formulas and Programming", "Section"], Cell[CellGroupData[{ Cell[StyleData["InlineFormula"], CellMargins->{{10, 4}, {0, 8}}, CellHorizontalScrolling->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Formula", ScriptLevel->1, SingleLetterItalics->True, StyleMenuListing->None], Cell[StyleData["InlineFormula", "Presentation"], LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["InlineFormula", "SlideShow"], LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["InlineFormula", "Printout"], CellMargins->{{2, 0}, {6, 6}}, FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DisplayFormula"], CellMargins->{{60, Inherited}, {Inherited, Inherited}}, CellHorizontalScrolling->True, DefaultFormatType->DefaultInputFormatType, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Formula", ScriptLevel->0, SingleLetterItalics->True, UnderoverscriptBoxOptions->{LimitsPositioning->True}], Cell[StyleData["DisplayFormula", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["DisplayFormula", "SlideShow"], CellMargins->{{100, 50}, {Inherited, Inherited}}, LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["DisplayFormula", "Printout"], FontSize->10] }, Open ]], Cell[CellGroupData[{ Cell[StyleData["Program"], CellFrame->{{0, 0}, {0.5, 0.5}}, CellMargins->{{60, 4}, {0, 8}}, CellHorizontalScrolling->True, Hyphenation->False, LanguageCategory->"Formula", ScriptLevel->1, FontFamily->"Courier"], Cell[StyleData["Program", "Presentation"], CellMargins->{{72, 50}, {10, 10}}, LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["Program", "SlideShow"], CellMargins->{{100, 50}, {10, 10}}, LineSpacing->{1, 5}, FontSize->16], Cell[StyleData["Program", "Printout"], CellMargins->{{2, 0}, {6, 6}}, FontSize->9] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Hyperlink Styles", "Section"], Cell["\<\ The cells below define styles useful for making hypertext ButtonBoxes. The \ \"Hyperlink\" style is for links within the same Notebook, or between \ Notebooks.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Hyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0.376471, 0.490196], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonFrame->"None", ButtonNote->ButtonData}], Cell[StyleData["Hyperlink", "Presentation"], FontSize->16], Cell[StyleData["Hyperlink", "SlideShow"]], Cell[StyleData["Hyperlink", "Printout"], FontSize->10, FontVariations->{"Underline"->False}] }, Closed]], Cell["\<\ The following styles are for linking automatically to the on-line help \ system.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["MainBookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLink", "Presentation"], FontSize->16], Cell[StyleData["MainBookLink", "SlideShow"]], Cell[StyleData["MainBookLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLink", "Presentation"], FontSize->16], Cell[StyleData["AddOnsLink", "SlideShow"]], Cell[StyleData["AddOnsLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLink", "Presentation"], FontSize->16], Cell[StyleData["RefGuideLink", "SlideShow"]], Cell[StyleData["RefGuideLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLinkText"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLinkText", "Presentation"], FontSize->16], Cell[StyleData["RefGuideLinkText", "SlideShow"]], Cell[StyleData["RefGuideLinkText", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GettingStartedLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["GettingStartedLink", "Presentation"], FontSize->16], Cell[StyleData["GettingStartedLink", "SlideShow"]], Cell[StyleData["GettingStartedLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DemosLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "Demos", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["DemosLink", "SlideShow"]], Cell[StyleData["DemosLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["TourLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "Tour", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["TourLink", "SlideShow"]], Cell[StyleData["TourLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLink", "Presentation"], FontSize->16], Cell[StyleData["OtherInformationLink", "SlideShow"]], Cell[StyleData["OtherInformationLink", "Printout"], FontSize->10, FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["MasterIndexLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0.269993, 0.308507, 0.6], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MasterIndex", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MasterIndexLink", "SlideShow"]], Cell[StyleData["MasterIndexLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Headers and Footers", "Section"], Cell[StyleData["Header"], CellMargins->{{0, 0}, {4, 1}}, DefaultNewInlineCellStyle->"None", LanguageCategory->"NaturalLanguage", StyleMenuListing->None, FontSize->10, FontSlant->"Italic"], Cell[StyleData["Footer"], CellMargins->{{0, 0}, {0, 4}}, DefaultNewInlineCellStyle->"None", LanguageCategory->"NaturalLanguage", StyleMenuListing->None, FontSize->9, FontSlant->"Italic"], Cell[StyleData["PageNumber"], CellMargins->{{0, 0}, {4, 1}}, StyleMenuListing->None, FontFamily->"Times", FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell["Palette Styles", "Section"], Cell["\<\ The cells below define styles that define standard ButtonFunctions, for use \ in palette buttons.\ \>", "Text"], Cell[StyleData["Paste"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, Placeholder]}]&)}], Cell[StyleData["Evaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["EvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionMove[ FrontEnd`InputNotebook[ ], All, Cell, 1], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}] }, Closed]], Cell[CellGroupData[{ Cell["Placeholder Styles", "Section"], Cell["\<\ The cells below define styles useful for making placeholder objects in \ palette templates.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Placeholder"], Placeholder->True, StyleMenuListing->None, FontSlant->"Italic", FontColor->RGBColor[0.984314, 0.74902, 0.176471], TagBoxOptions->{Editable->False, Selectable->False, StripWrapperBoxes->False}], Cell[StyleData["Placeholder", "Presentation"]], Cell[StyleData["Placeholder", "SlideShow"]], Cell[StyleData["Placeholder", "Printout"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["PrimaryPlaceholder"], StyleMenuListing->None, DrawHighlighted->True, FontSlant->"Italic", Background->RGBColor[0.984314, 0.864057, 0.382376], TagBoxOptions->{Editable->False, Selectable->False, StripWrapperBoxes->False}], Cell[StyleData["PrimaryPlaceholder", "Presentation"]], Cell[StyleData["PrimaryPlaceholder", "SlideShow"]], Cell[StyleData["PrimaryPlaceholder", "Printout"]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["FormatType Styles", "Section"], Cell["\<\ The cells below define styles that are mixed in with the styles of most \ cells. If a cell's FormatType matches the name of one of the styles defined \ below, then that style is applied between the cell's style and its own \ options. This is particularly true of Input and Output.\ \>", "Text"], Cell[StyleData["CellExpression"], PageWidth->Infinity, CellMargins->{{6, Inherited}, {Inherited, Inherited}}, ShowCellLabel->False, ShowSpecialCharacters->False, AllowInlineCells->False, Hyphenation->False, AutoItalicWords->{}, StyleMenuListing->None, FontFamily->"Courier", FontSize->12, Background->GrayLevel[1]], Cell[StyleData["InputForm"], InputAutoReplacements->{}, AllowInlineCells->False, Hyphenation->False, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["OutputForm"], PageWidth->Infinity, TextAlignment->Left, LineSpacing->{0.6, 1}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["StandardForm"], InputAutoReplacements->{ "->"->"\[Rule]", ":>"->"\[RuleDelayed]", "<="->"\[LessEqual]", ">="->"\[GreaterEqual]", "!="->"\[NotEqual]", "=="->"\[Equal]", Inherited}, "TwoByteSyntaxCharacterAutoReplacement"->True, LineSpacing->{1.25, 0}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["TraditionalForm"], InputAutoReplacements->{ "->"->"\[Rule]", ":>"->"\[RuleDelayed]", "<="->"\[LessEqual]", ">="->"\[GreaterEqual]", "!="->"\[NotEqual]", "=="->"\[Equal]", Inherited}, "TwoByteSyntaxCharacterAutoReplacement"->True, LineSpacing->{1.25, 0}, SingleLetterItalics->True, TraditionalFunctionNotation->True, DelimiterMatching->None, StyleMenuListing->None], Cell["\<\ The style defined below is mixed in to any cell that is in an inline cell \ within another.\ \>", "Text"], Cell[StyleData["InlineCell"], LanguageCategory->"Formula", ScriptLevel->1, StyleMenuListing->None], Cell[StyleData["InlineCellEditing"], StyleMenuListing->None, Background->RGBColor[0.984314, 0.895659, 0.659937]] }, Closed]], Cell[CellGroupData[{ Cell["Automatic Styles", "Section"], Cell["\<\ The cells below define styles that are used to affect the display of certain \ types of objects in typeset expressions. For example, \"UnmatchedBracket\" \ style defines how unmatched bracket, curly bracket, and parenthesis \ characters are displayed (typically by coloring them to make them stand out).\ \ \>", "Text"], Cell[StyleData["UnmatchedBracket"], StyleMenuListing->None, FontColor->RGBColor[0.503243, 0.707805, 0.862837]], Cell[StyleData["Completions"], StyleMenuListing->None, FontFamily->"Courier"] }, Closed]], Cell[CellGroupData[{ Cell["Styles from HelpBrowser", "Section"], Cell[CellGroupData[{ Cell[StyleData["MathCaption"], CellFrame->{{0, 0}, {0, 0.5}}, CellMargins->{{66, 12}, {2, 24}}, PageBreakBelow->False, CellFrameMargins->{{8, 8}, {8, 2}}, CellFrameColor->GrayLevel[0.700008], CellFrameLabelMargins->4, LineSpacing->{1, 1}, ParagraphSpacing->{0, 8}, StyleMenuListing->None, FontColor->GrayLevel[0.2]], Cell[StyleData["MathCaption", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, FontSize->18], Cell[StyleData["MathCaption", "SlideShow"], CellMargins->{{100, 50}, 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Cell[StyleData["Usage", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Notes"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, ShowSpecialCharacters->Automatic, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Mathematica", FormatType->StandardForm, ShowStringCharacters->True, NumberMarks->True, StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["Notes", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, FontSize->18], Cell[StyleData["Notes", "SlideShow"], CellMargins->{{100, 50}, {Inherited, Inherited}}], Cell[StyleData["Notes", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["InlineOutput"], ShowCellBracket->True, CellMargins->{{66, 4}, {8, 8}}, Evaluatable->True, CellGroupingRules->"InputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelAutoDelete->False, CellLabelMargins->{{14, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, ShowSpecialCharacters->Automatic, "TwoByteSyntaxCharacterAutoReplacement"->True, HyphenationOptions->{"HyphenationCharacter"->"\[Continuation]"}, LanguageCategory->"Mathematica", FormatType->StandardForm, ShowStringCharacters->True, NumberMarks->True, StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["InlineOutput", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, FontSize->18], Cell[StyleData["InlineOutput", "SlideShow"], CellMargins->{{100, 50}, {Inherited, Inherited}}], Cell[StyleData["InlineOutput", "Printout"], ShowCellBracket->False, CellMargins->{{39, 0}, {6, 6}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell["Emphasis Boxes and Pictures", "Subsection"], Cell[CellGroupData[{ Cell[StyleData["Box"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnSpacings->1}], Cell[StyleData["Box", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, FontSize->18], Cell[StyleData["Box", "SlideShow"], CellMargins->{{100, 50}, {Inherited, Inherited}}], Cell[StyleData["Box", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DoubleBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 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Closed]], Cell[CellGroupData[{ Cell[StyleData["2ColumnEvenBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 0.929412, 0.839216], FrameBoxOptions->{BoxFrame->0.5, BoxMargins->True}, GridBoxOptions->{ColumnWidths->0.46}], Cell[StyleData["2ColumnEvenBox", "Presentation"], CellMargins->{{72, Inherited}, {Inherited, Inherited}}, FontSize->18], Cell[StyleData["2ColumnEvenBox", "SlideShow"], CellMargins->{{100, 50}, {Inherited, Inherited}}], Cell[StyleData["2ColumnEvenBox", "Printout"], CellMargins->{{2, 0}, {0, 8}}, FontSize->10, Background->GrayLevel[0.900008]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["2ColumnSmallBox"], CellFrame->0.5, CellMargins->{{27, 12}, {0, 8}}, CellHorizontalScrolling->True, CellFrameColor->RGBColor[0.74902, 0.694118, 0.552941], LineIndent->0, StyleMenuListing->None, Background->RGBColor[0.964706, 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