(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 4.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 131580, 3647]*) (*NotebookOutlinePosition[ 132379, 3675]*) (* CellTagsIndexPosition[ 132335, 3671]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Prerequisite: load cellerator", "Section", PageBreakAbove->False, PageBreakWithin->True, GroupPageBreakWithin->True], Cell[CellGroupData[{ Cell[BoxData[{ \(\(<< Library/Cellerator/myPadRight.m;\)\), "\[IndentingNewLine]", \(\(\(<< Library/Cellerator/cellerator.m;\)\(\[IndentingNewLine]\) \)\), "\[IndentingNewLine]", \(complexLeft = "\<$\>"; complexRight = "\<$\>";\), "\[IndentingNewLine]", \(\(dash = "\<$\>";\)\)}], "Input", PageBreakAbove->False, PageBreakWithin->True, GroupPageBreakWithin->True], Cell[BoxData[ \("myPadRight Version 0.3 for Cellerator Loaded."\)], "Print"], Cell[BoxData[ \("Cellerator\[Trademark] Version 1.0 update 2.1121, loaded at Nov. 21, \ 2002, 10:48:56\n\[Copyright]2001,2002 Jet Propulsion Laboratory, California \ Institute of Technology. U.S. Government Sponsorship Acknowledged. All \ rights reserved. \nPatent Pending (USPTO App 09993291).\nThe contents of this \ file may not be copied, distributed or transferred without written \ permission."\)], "Print"], Cell[BoxData[ InterpretationBox[\("Cellerator\[Trademark] 1.0 update 2.1121 load (using \ Mathematica Version 4.2 for Mac OS X (June 4, 2002)) complete at "\ \[InvisibleSpace]"November 21, 2002 10:49:00"\), SequenceForm[ "Cellerator\[Trademark] 1.0 update 2.1121 load (using Mathematica \ Version 4.2 for Mac OS X (June 4, 2002)) complete at ", "November 21, 2002 10:49:00"], Editable->False]], "Print"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Circadian Oscillator Model", "Section", PageBreakAbove->False, PageBreakWithin->True, GroupPageBreakWithin->True], Cell["\<\ This Cellerator Notebook implements the Circadian Oscillator model \ in Vilar et. al.\ \>", "Text"], Cell["References", "Subsubsection"], Cell["\<\ Vilar JMG, Kueh HY, Barkai N, Leibler S, (2002) \"Mechanisms of \ noise resistance in genetic oscillators,\" PNAS, 99(9):5988-5992. Barkai N, Leibler S (2000) \"Circadian clocks limited by noise,\" Nature, \ 403:267-268. \ \>", "Text", PageBreakAbove->False, PageBreakWithin->True, GroupPageBreakWithin->True], Cell["Cellerator model implemented 10-29-02 B.Shapiro", "Text", PageBreakAbove->False, PageBreakWithin->True, GroupPageBreakWithin->True] }, Open ]], Cell[CellGroupData[{ Cell["Define the Reaction Network", "Section"], Cell[BoxData[ \(\(STN\ \ = {{A + R \[ShortRightArrow] C, \ \[Gamma]C}, \ \[IndentingNewLine]{A \[ShortRightArrow] \ \[EmptySet], \[Delta]A}, \[IndentingNewLine]{C \[ShortRightArrow] R, \[Delta]A}, \[IndentingNewLine]{R \[ShortRightArrow] \ \[EmptySet], \[Delta]R}, \[IndentingNewLine]{A + DA \[RightArrowLeftArrow] DAp, \ \[Gamma]A, \[Theta]A}, \[IndentingNewLine]{DA \ \[ShortRightArrow] DA + MA, \[Alpha]A}, \[IndentingNewLine]{DAp \[ShortRightArrow] DAp + MA, \[Alpha]Ap}, \[IndentingNewLine]{MA \ \[ShortRightArrow] \[EmptySet], \[Delta]MA}, \[IndentingNewLine]{MA \ \[ShortRightArrow] MA + A, \[Beta]A}, \[IndentingNewLine]{A + DR \[RightArrowLeftArrow] DRp, \[Gamma]R, \[Theta]R}, \[IndentingNewLine]{DR \ \[ShortRightArrow] DR + MR, \[Alpha]R}, \[IndentingNewLine]{DRp \[ShortRightArrow] DRp + MR, \[Alpha]Rp}, \[IndentingNewLine]{MR \ \[ShortRightArrow] \[EmptySet], \[Delta]MR}, \[IndentingNewLine]{MR \ \[ShortRightArrow] MR + R, \[Beta]R}\[IndentingNewLine]};\)\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["Generate Differential Equations", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(s = interpret[STN]\)], "Input"], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["A", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Delta]A\)\ A[t] - \[Gamma]A\ A[t]\ DA[ t] + \[Theta]A\ DAp[t] - \[Gamma]R\ A[t]\ DR[ t] + \[Theta]R\ DRp[t] + \[Beta]A\ MA[t] - \[Gamma]C\ A[ t]\ R[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["C", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Delta]A\)\ C[t] + \[Gamma]C\ A[t]\ R[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["DA", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Gamma]A\)\ A[t]\ DA[t] + \[Theta]A\ DAp[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["DAp", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Gamma]A\ A[t]\ DA[t] - \[Theta]A\ DAp[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["DR", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Gamma]R\)\ A[t]\ DR[t] + \[Theta]R\ DRp[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["DRp", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Gamma]R\ A[t]\ DR[t] - \[Theta]R\ DRp[t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["MA", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Alpha]A\ DA[t] + \[Alpha]Ap\ DAp[t] - \[Delta]MA\ MA[ t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["MR", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Alpha]R\ DR[t] + \[Alpha]Rp\ DRp[t] - \[Delta]MR\ MR[ t]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["R", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Delta]A\ C[t] + \[Beta]R\ MR[t] - \[Delta]R\ R[ t] - \[Gamma]C\ A[t]\ R[t]\)}]}], "}"}], ",", \({A, C, DA, DAp, DR, DRp, MA, MR, R}\)}], "}"}]], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Define Rate Constants", "Section"], Cell[BoxData[ \(\(RateConstants = {\[Gamma]C \[Rule] \ 2, \[Delta]A \[Rule] \ 1, \[Delta]R \[Rule] \ 0.2, \[Gamma]A \[Rule] \ 1, \[Theta]A \[Rule] \ 50, \[IndentingNewLine]\[Alpha]A \[Rule] \ 50, \[Alpha]Ap \[Rule] \ 500, \[Gamma]R \[Rule] \ 1, \[Theta]R \[Rule] \ 100, \[Alpha]R \[Rule] \ 0.01, \[Alpha]Rp \[Rule] \ 50, \[Delta]MA \[Rule] \ 10, \[Delta]MR \[Rule] \ 0.5, \[Beta]A \[Rule] \ 50, \[Beta]R \[Rule] \ 5};\)\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["Define InitialConditions", "Section"], Cell[BoxData[ \(\(STNInitialConditions\ = \ {DR \[Rule] \ 1, \ DA \[Rule] \ 1};\)\)], "Input"] }, Open ]], Cell[CellGroupData[{ Cell["Predict a time course (run a single simulation)", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(\(sim = predictTimeCourse[ STN, \[IndentingNewLine]initialConditions \[Rule] STNInitialConditions, \[IndentingNewLine]rates \[Rule] \ RateConstants, \[IndentingNewLine]timeSpan \[Rule] 100, \[IndentingNewLine]MaxSteps \[Rule] 25000, \ \[IndentingNewLine]samePlotVariables \[Rule] \ {A, R, C}, \[IndentingNewLine]verbose \[Rule] \ True];\)\)], "Input"], Cell[BoxData[ \("Warning: the following variables do not have initial conditions and \ will default to a value of 0 (zero) at t = 0: A,C,DAp,DRp,MA,MR,R"\)], "Print"], Cell[BoxData[ TagBox[GridBox[{ { TagBox[ StyleBox["\<\"Variable\"\>", FontWeight->"Bold", FontVariations->{"Underline"->True}], ( StyleForm[ #, FontWeight -> "Bold", FontVariations -> { "Underline" -> True}]&)], TagBox[ StyleBox["\<\"IC\"\>", FontWeight->"Bold", FontVariations->{"Underline"->True}], ( StyleForm[ #, FontWeight -> "Bold", FontVariations -> { "Underline" -> True}]&)], TagBox[ StyleBox["\<\"Equation\"\>", FontWeight->"Bold", FontVariations->{"Underline"->True}], ( StyleForm[ #, FontWeight -> "Bold", FontVariations -> { "Underline" -> True}]&)]}, {"A", \(A[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox["A", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Delta]A\)\ A[t] - \[Gamma]A\ A[t]\ DA[ t] + \[Theta]A\ DAp[t] - \[Gamma]R\ A[t]\ DR[ t] + \[Theta]R\ DRp[t] + \[Beta]A\ MA[t] - \[Gamma]C\ A[ t]\ R[t]\)}]}, {"C", \(C[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox["C", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Delta]A\)\ C[t] + \[Gamma]C\ A[t]\ R[t]\)}]}, {"DA", \(DA[0] == 1\), RowBox[{ RowBox[{ SuperscriptBox["DA", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Gamma]A\)\ A[t]\ DA[t] + \[Theta]A\ DAp[t]\)}]}, {"DAp", \(DAp[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox["DAp", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Gamma]A\ A[t]\ DA[t] - \[Theta]A\ DAp[t]\)}]}, {"DR", \(DR[0] == 1\), RowBox[{ RowBox[{ SuperscriptBox["DR", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\(-\[Gamma]R\)\ A[t]\ DR[t] + \[Theta]R\ DRp[t]\)}]}, {"DRp", \(DRp[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox["DRp", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Gamma]R\ A[t]\ DR[t] - \[Theta]R\ DRp[t]\)}]}, {"MA", \(MA[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox["MA", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Alpha]A\ DA[t] + \[Alpha]Ap\ DAp[t] - \[Delta]MA\ MA[ t]\)}]}, {"MR", \(MR[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox["MR", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Alpha]R\ DR[t] + \[Alpha]Rp\ DRp[t] - \[Delta]MR\ MR[ t]\)}]}, {"R", \(R[0] == 0\), RowBox[{ RowBox[{ SuperscriptBox["R", "\[Prime]", MultilineFunction->None], "[", "t", "]"}], "==", \(\[Delta]A\ C[t] + \[Beta]R\ MR[t] - \[Delta]R\ R[ t] - \[Gamma]C\ A[t]\ R[t]\)}]} }, RowSpacings->1, ColumnSpacings->3, RowAlignments->Baseline, ColumnAlignments->{Left}], Function[ BoxForm`e$, TableForm[ BoxForm`e$]]]], "Print"], Cell[BoxData[ TagBox[GridBox[{ { TagBox[ StyleBox["\<\"Rate constants\"\>", FontWeight->"Bold", FontVariations->{"Underline"->True}], ( StyleForm[ #, FontWeight -> "Bold", FontVariations -> { "Underline" -> True}]&)], TagBox[ StyleBox["\<\"Reaction\"\>", FontWeight->"Bold", FontVariations->{"Underline"->True}], ( StyleForm[ #, FontWeight -> "Bold", FontVariations -> { "Underline" -> True}]&)]}, {"\<\"\[Alpha]A=50\"\>", "\<\"DA \[ShortRightArrow] DA + MA\"\>"}, {"\<\"\[Alpha]Ap=500\"\>", "\<\"DAp \[ShortRightArrow] DAp + \ MA\"\>"}, {"\<\"\[Alpha]R=0.01\"\>", "\<\"DR \[ShortRightArrow] DR + \ MR\"\>"}, {"\<\"\[Alpha]Rp=50\"\>", "\<\"DRp \[ShortRightArrow] DRp + \ MR\"\>"}, {"\<\"\[Beta]A=50\"\>", "\<\"MA \[ShortRightArrow] A + MA\"\>"}, {"\<\"\[Beta]R=5\"\>", "\<\"MR \[ShortRightArrow] MR + R\"\>"}, {"\<\"\[Gamma]A=1\"\>", "\<\"A + DA \[ShortRightArrow] DAp\"\>"}, {"\<\"\[Gamma]C=2\"\>", "\<\"A + R \[ShortRightArrow] C\"\>"}, {"\<\"\[Gamma]R=1\"\>", "\<\"A + DR \[ShortRightArrow] DRp\"\>"}, {"\<\"\[Delta]A=1\"\>", "\<\"A \[ShortRightArrow] \ \[EmptySet]\"\>"}, {"\<\"\[Delta]A=1\"\>", "\<\"C \[ShortRightArrow] R\"\>"}, {"\<\"\[Delta]MA=10\"\>", "\<\"MA \[ShortRightArrow] \ \[EmptySet]\"\>"}, {"\<\"\[Delta]MR=0.5\"\>", "\<\"MR \[ShortRightArrow] \[EmptySet]\"\ \>"}, {"\<\"\[Delta]R=0.2\"\>", "\<\"R \[ShortRightArrow] \ \[EmptySet]\"\>"}, {"\<\"\[Theta]A=50\"\>", "\<\"DAp \[ShortRightArrow] A + DA\"\>"}, {"\<\"\[Theta]R=100\"\>", "\<\"DRp \[ShortRightArrow] A + DR\"\>"} }, RowSpacings->1, ColumnSpacings->3, RowAlignments->Baseline, ColumnAlignments->{Left}], Function[ BoxForm`e$, TableForm[ BoxForm`e$]]]], "Print"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .44456 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.366339 0.34253 0.22228 0.34253 [ [ 0 0 0 0 ] [ 1 .44456 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath % Start of sub-graphic p 0.0238095 0.0105847 0.708869 0.433974 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0147151 0.952381 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0147151 0.97619 0.603319 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00952381 0.0147151 0.000269113 [ [.21429 .00222 -6 -9 ] [.21429 .00222 6 0 ] [.40476 .00222 -6 -9 ] [.40476 .00222 6 0 ] [.59524 .00222 -6 -9 ] [.59524 .00222 6 0 ] [.78571 .00222 -6 -9 ] [.78571 .00222 6 0 ] [.97619 .00222 -9 -9 ] [.97619 .00222 9 0 ] [.01131 .14927 -18 -4.5 ] [.01131 .14927 0 4.5 ] [.01131 .28383 -24 -4.5 ] [.01131 .28383 0 4.5 ] [.01131 .41838 -24 -4.5 ] [.01131 .41838 0 4.5 ] [.01131 .55294 -24 -4.5 ] [.01131 .55294 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .21429 .01472 m .21429 .02097 L s [(20)] .21429 .00222 0 1 Mshowa .40476 .01472 m .40476 .02097 L s [(40)] .40476 .00222 0 1 Mshowa .59524 .01472 m .59524 .02097 L s [(60)] .59524 .00222 0 1 Mshowa .78571 .01472 m .78571 .02097 L s [(80)] .78571 .00222 0 1 Mshowa .97619 .01472 m .97619 .02097 L s [(100)] .97619 .00222 0 1 Mshowa .125 Mabswid .07143 .01472 m .07143 .01847 L s .11905 .01472 m .11905 .01847 L s .16667 .01472 m .16667 .01847 L s .2619 .01472 m .2619 .01847 L s .30952 .01472 m .30952 .01847 L s .35714 .01472 m .35714 .01847 L s .45238 .01472 m .45238 .01847 L s .5 .01472 m .5 .01847 L s .54762 .01472 m .54762 .01847 L s .64286 .01472 m .64286 .01847 L s .69048 .01472 m .69048 .01847 L s .7381 .01472 m .7381 .01847 L s .83333 .01472 m .83333 .01847 L s .88095 .01472 m .88095 .01847 L s .92857 .01472 m .92857 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .14927 m .03006 .14927 L s [(500)] .01131 .14927 1 0 Mshowa .02381 .28383 m .03006 .28383 L s [(1000)] .01131 .28383 1 0 Mshowa .02381 .41838 m .03006 .41838 L s [(1500)] .01131 .41838 1 0 Mshowa .02381 .55294 m .03006 .55294 L s [(2000)] .01131 .55294 1 0 Mshowa .125 Mabswid .02381 .04163 m .02756 .04163 L s .02381 .06854 m .02756 .06854 L s .02381 .09545 m .02756 .09545 L s .02381 .12236 m .02756 .12236 L s .02381 .17618 m .02756 .17618 L s .02381 .20309 m .02756 .20309 L s .02381 .23001 m .02756 .23001 L s .02381 .25692 m .02756 .25692 L s .02381 .31074 m .02756 .31074 L s .02381 .33765 m .02756 .33765 L s .02381 .36456 m .02756 .36456 L s .02381 .39147 m .02756 .39147 L s .02381 .4453 m .02756 .4453 L s .02381 .47221 m .02756 .47221 L s .02381 .49912 m .02756 .49912 L s .02381 .52603 m .02756 .52603 L s .02381 .57985 m .02756 .57985 L s .02381 .60676 m .02756 .60676 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 1 0 r .5 Mabswid .02381 .01472 m .02499 .01907 L .02605 .03534 L .02729 .07518 L .02846 .12487 L .03279 .29795 L .03524 .36708 L .0375 .41358 L .03868 .43222 L .03998 .44882 L .04134 .46224 L .04262 .47159 L .04384 .47794 L .04453 .4805 L .04517 .48227 L .04635 .48406 L .04761 .48411 L .04884 .48249 L .05 .4796 L .05104 .47598 L .05217 .47109 L .05477 .45641 L .05752 .43661 L .06244 .39291 L .07296 .27705 L .08424 .13128 L .08685 .09319 L .0897 .04644 L .091 .0231 L .09166 .01689 L .09239 .01533 L .09367 .01486 L .09488 .01478 L .09606 .01476 L .09731 .01475 L .09838 .01475 L .09955 .01474 L .10081 .01474 L .10151 .01474 L .10215 .01474 L .1034 .01474 L .10458 .01474 L .10571 .01474 L .10677 .01474 L .10794 .01474 L .10918 .01474 L .11049 .01473 L .11173 .01473 L .11285 .01473 L .11406 .01473 L Mistroke .11521 .01473 L .11626 .01473 L .11746 .01474 L .11859 .01474 L .1228 .01474 L .12775 .01474 L .13229 .01474 L .14255 .01474 L .15231 .01475 L .16141 .01476 L .1714 .01477 L .18209 .01478 L .19229 .01479 L .20337 .01481 L .21384 .01484 L .2235 .01487 L .23316 .01492 L .24221 .01497 L .24739 .01501 L .25213 .01506 L .25734 .01512 L .25996 .01517 L .26282 .01523 L .26537 .0153 L .2668 .01535 L .26813 .01541 L .26928 .01547 L .27056 .01556 L .2712 .01562 L .27188 .01569 L .27312 .01588 L .27433 .01619 L .27563 .01693 L .27687 .01908 L .27801 .02662 L .27904 .04402 L .28017 .07523 L .28247 .15335 L .285 .23164 L .28767 .29434 L .28907 .3193 L .2906 .34114 L .29199 .35653 L .29328 .36745 L .2946 .37558 L .29585 .38075 L .29697 .38351 L .29819 .3847 L .29882 .38464 L .29951 .38407 L Mistroke .30024 .38296 L .30092 .38146 L .30213 .37775 L .30344 .37242 L .30598 .35861 L .30868 .33971 L .31355 .29741 L .32459 .17526 L .32968 .10865 L .33246 .0674 L .33382 .04454 L .33505 .02291 L .33619 .01562 L .33727 .01494 L .33841 .01481 L .33964 .01477 L .34091 .01475 L .34155 .01475 L .34226 .01475 L .34351 .01474 L .34468 .01474 L .34594 .01474 L .34727 .01474 L .3484 .01474 L .34964 .01474 L .35097 .01474 L .35172 .01474 L .3524 .01474 L .35304 .01474 L .35373 .01474 L .35498 .01474 L .35567 .01473 L .35632 .01473 L .35703 .01473 L .35779 .01473 L .35859 .01473 L .35935 .01474 L .36003 .01474 L .36077 .01474 L .36354 .01474 L .36611 .01474 L .37124 .01474 L .37588 .01474 L .38628 .01474 L .39634 .01475 L .40558 .01476 L .41573 .01477 L .42642 .01478 L .43593 .01479 L .44611 .01481 L Mistroke .45572 .01484 L .46447 .01486 L .47441 .01491 L .4836 .01496 L .4884 .01499 L .49369 .01504 L .49921 .0151 L .50189 .01514 L .50438 .01519 L .50678 .01524 L .50934 .01532 L .5108 .01537 L .51218 .01544 L .51342 .01552 L .51411 .01557 L .51476 .01563 L .51595 .01578 L .51725 .01604 L .51853 .01656 L .51924 .01713 L .51989 .0181 L .52106 .02314 L .52232 .04125 L .52351 .07314 L .52462 .10988 L .52685 .18525 L .52925 .25361 L .53152 .30276 L .5336 .33588 L .53465 .34883 L .53581 .36036 L .53701 .36972 L .53813 .3762 L .5394 .38119 L .54056 .38379 L .54119 .3845 L .54189 .38473 L .54314 .38379 L .54437 .38134 L .5455 .3779 L .5468 .37264 L .54803 .36651 L .5526 .33573 L .55758 .29139 L .56301 .23411 L .5687 .1665 L .57405 .09495 L .57639 .05893 L .57766 .03663 L .57885 .01846 L Mistroke .58015 .01512 L .58083 .01491 L .58156 .01482 L .58286 .01477 L .58405 .01476 L .58527 .01475 L .58657 .01474 L .58768 .01474 L .5889 .01474 L .59021 .01474 L .59162 .01474 L .59295 .01474 L .59417 .01474 L .59533 .01474 L .5964 .01474 L .59758 .01474 L .59884 .01473 L .59948 .01473 L .60017 .01473 L .60141 .01473 L .60263 .01474 L .60375 .01474 L .60496 .01474 L .60626 .01474 L .60861 .01474 L .61395 .01474 L .61959 .01474 L .62473 .01474 L .63397 .01475 L .64379 .01475 L .65456 .01476 L .66453 .01477 L .67388 .01478 L .68397 .0148 L .6935 .01482 L .70224 .01485 L .71202 .01488 L .72113 .01492 L .73113 .01499 L .73673 .01503 L .74182 .01509 L .74666 .01517 L .74909 .01521 L .75178 .01528 L .75407 .01537 L .75535 .01543 L .75653 .0155 L .75762 .01558 L .75881 .0157 L .75993 .01588 L Mistroke .76097 .01614 L .76228 .01679 L .76301 .01759 L .76369 .0191 L .76494 .02789 L .76625 .05369 L .76743 .08951 L .76853 .12731 L .77103 .20919 L .77374 .27888 L .77621 .32443 L .77757 .34315 L .77906 .35895 L .78046 .36999 L .78176 .37722 L .78294 .38156 L .78418 .38408 L .78523 .38473 L .78639 .384 L .78764 .38168 L .78834 .37975 L .78898 .37763 L .79139 .36677 L .79362 .35325 L .79604 .3355 L .80043 .29682 L .81115 .17838 L .81591 .11667 L .81854 .07887 L .81983 .0583 L .82103 .03736 L .82221 .01894 L .82346 .01518 L .82417 .01492 L .82484 .01483 L .8261 .01477 L .82726 .01476 L .82833 .01475 L .8295 .01475 L .83073 .01474 L .83181 .01474 L .83297 .01474 L .83406 .01474 L .83506 .01474 L .83623 .01474 L .83749 .01474 L .83869 .01474 L .8398 .01474 L .84099 .01474 L .84226 .01473 L Mistroke .84346 .01473 L .84457 .01473 L .84585 .01474 L .84658 .01474 L .84726 .01474 L .84982 .01474 L .85251 .01474 L .85496 .01474 L .86044 .01474 L .87045 .01474 L .87967 .01475 L .88979 .01475 L .90048 .01476 L .90995 .01477 L .9201 .01479 L .93843 .01483 L .94771 .01485 L .95782 .01489 L .96736 .01494 L .97619 .015 L Mfstroke 0 0 1 r .02381 .01472 m .02499 .01472 L .02605 .01483 L .02729 .0154 L .02846 .01659 L .02954 .01832 L .03053 .02047 L .03279 .02722 L .03506 .03655 L .03756 .04947 L .04262 .08289 L .05285 .17289 L .06244 .27482 L .07285 .39604 L .08274 .51546 L .08538 .54711 L .0882 .58001 L .08903 .58929 L .08981 .59744 L .09052 .60332 L .09128 .60327 L .09201 .58878 L .09277 .56286 L .09415 .50751 L .09655 .41591 L .09912 .3375 L .10194 .27229 L .10458 .22654 L .10714 .19267 L .10986 .16538 L .11219 .14751 L .11475 .13225 L .1175 .11987 L .12046 .10998 L .12326 .10309 L .12582 .09833 L .12824 .09487 L .1305 .09236 L .13298 .09022 L .13562 .08848 L .1384 .08712 L .14103 .08616 L .14339 .08551 L .14594 .08498 L .1483 .08462 L .15083 .08433 L .15322 .08413 L .15541 .084 L .15673 .08395 L .15796 .0839 L Mistroke .15931 .08387 L .16006 .08385 L .16075 .08384 L .162 .08383 L .16271 .08383 L .16336 .08382 L .16455 .08382 L .16582 .08383 L .16713 .08384 L .16833 .08386 L .17101 .08391 L .1735 .08397 L .17586 .08403 L .18686 .08448 L .19654 .08502 L .20681 .08576 L .21558 .08657 L .22524 .08769 L .23536 .08923 L .24463 .0911 L .2548 .09398 L .25991 .09598 L .26259 .09727 L .2655 .09894 L .26826 .10092 L .2708 .10329 L .27323 .10645 L .27445 .10863 L .2758 .1118 L .28069 .12177 L .28282 .12614 L .28403 .12958 L .28515 .13338 L .28783 .14485 L .29037 .15852 L .29598 .19688 L .30611 .28736 L .32475 .49235 L .32986 .55142 L .33254 .58155 L .33389 .59541 L .33466 .60124 L .33537 .60005 L .33668 .56521 L .33788 .51786 L .34057 .41487 L .34304 .3396 L .34534 .28446 L .34765 .24121 L .35018 .20423 L Mistroke .35265 .17651 L .35531 .15372 L .35777 .13758 L .36011 .12566 L .36242 .11646 L .36451 .10985 L .367 .10364 L .36966 .09859 L .37213 .09502 L .37445 .09242 L .37716 .09009 L .37966 .08847 L .3824 .08713 L .38529 .08609 L .38784 .08542 L .39026 .08494 L .39242 .08461 L .39478 .08435 L .39734 .08414 L .39864 .08406 L .40006 .08399 L .40128 .08394 L .40258 .0839 L .40382 .08388 L .40495 .08386 L .40602 .08385 L .40716 .08384 L .40824 .08384 L .40922 .08385 L .41037 .08385 L .41162 .08387 L .4128 .08388 L .41388 .0839 L .41845 .08402 L .42329 .08418 L .43273 .0846 L .44287 .08521 L .45245 .08595 L .46119 .0868 L .47107 .08802 L .48023 .08949 L .49028 .09164 L .49589 .09322 L .50097 .095 L .50587 .0972 L .50854 .09871 L .51103 .10042 L .51316 .10224 L .51544 .10475 L .51674 .10662 L Mistroke .51797 .10886 L .51907 .11145 L .52027 .11501 L .52299 .12025 L .52432 .12213 L .52553 .12448 L .52681 .1277 L .52818 .13206 L .53111 .14422 L .53624 .17402 L .54111 .21057 L .56113 .41175 L .56986 .51203 L .57444 .56482 L .57675 .59008 L .57807 .60126 L .57929 .5905 L .57998 .56942 L .58062 .54489 L .58184 .4956 L .58456 .39526 L .58689 .32793 L .58942 .27089 L .59182 .22902 L .59437 .19468 L .59655 .17182 L .59896 .15197 L .60167 .13483 L .60416 .12288 L .60689 .1129 L .60977 .10508 L .61228 .09994 L .61462 .09624 L .61718 .09311 L .61993 .09058 L .62251 .08879 L .62525 .08737 L .62759 .08645 L .63016 .08568 L .63293 .08507 L .63445 .08481 L .6359 .0846 L .63724 .08444 L .6387 .0843 L .64126 .0841 L .64263 .08403 L .64392 .08397 L .64507 .08393 L .64632 .08389 L .64769 .08387 L Mistroke .64838 .08386 L .64913 .08385 L .64978 .08385 L .65047 .08384 L .65172 .08384 L .65297 .08385 L .65367 .08385 L .65432 .08386 L .65552 .08387 L .65679 .08389 L .65899 .08394 L .66141 .084 L .66634 .08416 L .67152 .08438 L .68079 .08486 L .69076 .08554 L .70165 .08649 L .71195 .08768 L .72129 .08907 L .72647 .09003 L .73208 .09125 L .73734 .09263 L .74225 .09421 L .74683 .09603 L .75174 .09858 L .75454 .1005 L .75719 .10284 L .75957 .10573 L .76091 .10794 L .76216 .11062 L .76742 .12164 L .76867 .12391 L .77 .12709 L .77236 .13489 L .77484 .14581 L .77752 .16047 L .78321 .2001 L .80292 .39356 L .81172 .49417 L .81636 .54784 L .8189 .57655 L .82014 .58986 L .82128 .6001 L .82253 .59446 L .82322 .57507 L .82388 .551 L .82674 .43788 L .82935 .3534 L .83178 .29271 L .83407 .2478 L Mistroke .83652 .21045 L .83924 .17881 L .8417 .15696 L .84409 .14049 L .8463 .12859 L .84871 .11834 L .85127 .11 L .85349 .10436 L .85556 .10017 L .85785 .09649 L .86028 .09345 L .86288 .09095 L .86529 .08919 L .86788 .08773 L .87073 .08654 L .87319 .08578 L .87584 .08517 L .87834 .08474 L .88064 .08445 L .88287 .08423 L .88495 .08409 L .88724 .08397 L .88852 .08393 L .88968 .0839 L .8909 .08387 L .89203 .08386 L .89326 .08385 L .89457 .08384 L .89571 .08384 L .89677 .08385 L .89794 .08386 L .89919 .08388 L .90174 .08393 L .90445 .08399 L .90933 .08415 L .92037 .08465 L .93093 .0853 L .94048 .08606 L .94883 .08689 L .95765 .08799 L .96731 .08954 L .97619 .09142 L Mfstroke 1 0 0 r .02381 .01472 m .03279 .01474 L .03793 .01475 L .04262 .01476 L .04758 .01477 L .05288 .01479 L .0578 .01481 L .06244 .01485 L .06754 .01489 L .07012 .01492 L .07295 .01497 L .07536 .01502 L .07796 .01509 L .07921 .01513 L .08041 .01518 L .08156 .01524 L .08265 .01531 L .08403 .01543 L .08528 .01557 L .08598 .01567 L .08663 .0158 L .08734 .01598 L .08809 .01624 L .08933 .0171 L .09049 .01982 L .09177 .04184 L .09248 .0704 L .09313 .10084 L .09595 .23014 L .09743 .28563 L .09901 .33427 L .10039 .36897 L .1019 .4001 L .10329 .42286 L .10458 .43983 L .10581 .45272 L .10693 .46199 L .10817 .46988 L .10886 .47328 L .1095 .47585 L .11077 .47952 L .11145 .48073 L .11216 .48152 L .11336 .48179 L .11467 .48076 L .11588 .47876 L .11698 .47616 L .11945 .46809 L .12393 .44792 L .14478 .3268 L Mistroke .16541 .225 L .17545 .18664 L .18454 .15754 L .20307 .11189 L .21323 .09306 L .22279 .07846 L .24291 .05509 L .26139 .03895 L .26611 .03488 L .2687 .0324 L .27115 .02969 L .27344 .0265 L .27473 .02416 L .27592 .02139 L .277 .01835 L .27802 .01608 L .27908 .01523 L .28025 .01497 L .28147 .01488 L .28215 .01485 L .28279 .01484 L .28408 .01482 L .2848 .01481 L .28545 .01481 L .28663 .0148 L .2879 .0148 L .2891 .0148 L .29021 .0148 L .2915 .0148 L .29269 .0148 L .29401 .0148 L .29542 .01481 L .2983 .01482 L .30093 .01483 L .30573 .01486 L .30815 .01488 L .31083 .0149 L .3131 .01493 L .31555 .01496 L .31785 .015 L .31999 .01505 L .32251 .01512 L .32384 .01517 L .32526 .01524 L .32676 .01533 L .32817 .01545 L .32944 .0156 L .33015 .01572 L .33081 .01585 L .332 .01621 L Mistroke .33311 .01687 L .33433 .019 L .33564 .03614 L .33629 .05977 L .337 .09174 L .3383 .15385 L .34074 .257 L .3433 .33766 L .34474 .37225 L .34606 .39826 L .3485 .434 L .34973 .44699 L .35107 .45803 L .3523 .46551 L .35341 .47048 L .3547 .47429 L .35591 .47623 L .35704 .47678 L .35808 .47634 L .35922 .47493 L .36043 .47252 L .36172 .46905 L .36291 .46516 L .36558 .45439 L .37041 .43011 L .38141 .36586 L .40195 .25532 L .42105 .17914 L .43949 .12719 L .44981 .10529 L .45918 .0889 L .47838 .06331 L .49918 .04361 L .50859 .03571 L .5113 .03321 L .51386 .03051 L .51617 .02754 L .51868 .02296 L .52012 .01918 L .52082 .01726 L .52147 .01602 L .52222 .01536 L .52303 .01507 L .52371 .01496 L .52443 .0149 L .52575 .01485 L .52698 .01482 L .52768 .01482 L .52832 .01481 L .52906 .01481 L Mistroke .52976 .0148 L .53102 .0148 L .53165 .0148 L .53235 .0148 L .53358 .0148 L .53473 .0148 L .53543 .0148 L .53609 .0148 L .53733 .0148 L .54012 .01481 L .5426 .01482 L .54485 .01483 L .54727 .01484 L .54989 .01486 L .55233 .01488 L .55457 .0149 L .55897 .01496 L .56143 .015 L .56374 .01506 L .56626 .01513 L .56768 .01519 L .56897 .01526 L .57032 .01534 L .57157 .01545 L .57294 .01562 L .57364 .01573 L .5744 .01589 L .57568 .01633 L .5764 .01677 L .57705 .01747 L .57827 .022 L .57955 .05362 L .5819 .16261 L .58445 .26787 L .58686 .34169 L .58908 .39119 L .59032 .41235 L .59168 .43122 L .5931 .44664 L .59442 .45764 L .59565 .46522 L .59676 .47028 L .59805 .47418 L .59928 .47619 L .60044 .47678 L .60149 .47634 L .6027 .47482 L .60384 .47253 L .60489 .46975 L .60587 .46671 L Mistroke .60806 .45839 L .61764 .40839 L .63809 .29125 L .65717 .20522 L .67552 .14579 L .68581 .12056 L .69518 .1016 L .7143 .07221 L .72509 .05975 L .73507 .0501 L .75535 .03257 L .75786 .02982 L .76019 .0266 L .76137 .02451 L .76262 .02168 L .7639 .01813 L .76462 .01644 L .76528 .01559 L .76647 .01507 L .76773 .01491 L .76883 .01486 L .77005 .01483 L .77112 .01482 L .77228 .01481 L .77338 .0148 L .77437 .0148 L .7755 .0148 L .77669 .0148 L .77771 .0148 L .77884 .0148 L .78005 .0148 L .78135 .0148 L .78371 .01481 L .78596 .01482 L .78833 .01483 L .79257 .01486 L .79491 .01487 L .79741 .0149 L .80192 .01495 L .80468 .015 L .80728 .01506 L .80962 .01513 L .81094 .01519 L .81216 .01525 L .81341 .01532 L .8146 .01542 L .81566 .01553 L .81682 .01569 L .81808 .01596 L .81878 .0162 L Mistroke .81942 .01651 L .82066 .0178 L .82184 .02363 L .82294 .05298 L .8241 .10515 L .82619 .20205 L .82865 .29466 L .83089 .35722 L .83335 .4063 L .8347 .4263 L .83598 .44141 L .83708 .45181 L .83826 .46052 L .83954 .46762 L .84073 .4722 L .842 .47525 L .84272 .47622 L .84338 .47668 L .84459 .47655 L .84586 .47521 L .84654 .47405 L .84726 .47249 L .84856 .46898 L .85152 .45818 L .85685 .43212 L .86177 .40419 L .87287 .33868 L .89303 .23608 L .9118 .16649 L .92246 .13656 L .93244 .11365 L .94285 .09408 L .95273 .07885 L .97127 .05692 L .97619 .05218 L Mfstroke MathSubEnd P % End of sub-graphic MathSubEnd P % End of sub-graphic 0 g .726 .03389 m .726 .30791 L .97619 .30791 L .97619 .03389 L F 1 g .70887 .05101 m .70887 .32504 L .95906 .32504 L .95906 .05101 L F 0 g .001 w [ ] 0 setdash .70887 .05101 m .95906 .05101 L .95906 .32504 L .70887 .32504 L .70887 .05101 L s % Start of sub-graphic p 0.708869 0.0510149 0.959064 0.325038 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0297619 0.297619 0.0297619 0.297619 [ [ 0 0 0 0 ] [ 1 1.09524 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1.09524 L 0 1.09524 L closepath clip newpath % Start of sub-graphic p 0.0535714 0.0535714 0.35119 0.35119 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.309017 0.294302 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 0 0 r .5 Mabswid [ ] 0 setdash .02381 .30902 m .97619 .30902 L s MathSubEnd P % End of sub-graphic 0 g gsave .38988 .20238 -61 -11 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (R) show 71.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % Start of sub-graphic p 0.0535714 0.39881 0.35119 0.696429 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.309017 0.294302 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 0 1 r .5 Mabswid [ ] 0 setdash .02381 .30902 m .97619 .30902 L s MathSubEnd P % End of sub-graphic 0 g gsave .38988 .54762 -61 -11 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (C) show 71.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % Start of sub-graphic p 0.0535714 0.744048 0.35119 1.04167 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.309017 0.294302 [ [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 1 0 r .5 Mabswid [ ] 0 setdash .02381 .30902 m .97619 .30902 L s MathSubEnd P % End of sub-graphic 0 g gsave .38988 .89286 -61 -11 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (A) show 71.625 14.000 moveto %%IncludeResource: font Times-Roman %%IncludeFont: Times-Roman /Times-Roman findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore MathSubEnd P % End of sub-graphic 0 0 m 1 0 L 1 .44456 L 0 .44456 L closepath clip newpath % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 128}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgooooo`03 o`000?oooooooooo05Kooooo1_l0000;ooooo`00;oooool00ol0o`3oooooo`00o`0:ooooo`03ool0 0?oooooooooo02;ooooo00?oo`00o`3o0?ooool02Oooool00ooo003oooooooooo`0Qooooo`03ool0 0?l0o`3ooooo00Wooooo00?oo`00ooooooooool08_ooool00ooo003oooooooooo`09ooooo`03ool0 0?oooooooooo02gooooo00?o0000ooooooooool0E_ooool6o`0000_ooooo000_ooooo`03o`3o0?oo oooo003o00[ooooo00?oo`00ooooooooool08Oooool00ooo003oooooo`3o000:ooooo`03ool00?oo oooooooo027ooooo00?oo`00o`3o0?ooool02Oooool00ooo003oooooooooo`0Qooooo`03ool00?oo oooo0?l000[ooooo00?oo`00ooooooooool0;Oooool00ol0003oooooooooo`1Fooooo`Ko00002ooo ool002oooooo00?o0?l0ooooool00?l02_ooool00ol0o`3oo`00ooooo`0Pooooo`04ool00?oooooo ooooo`3o00[ooooo00?oo`00ooooooooool07oooool2ool00003ooooool0o`3ooooo00Wooooo00?o o`00ooooooooool08?ooool01?oo003oooooooooool0o`0:ooooo`03ool00?oooooooooo02gooooo 00?o0000ooooooooool0E_ooool6o`0000_ooooo000_ooooo`03o`3o0?l0003o003o00[ooooo00?o 0?l0ool00?ooool07oooool01Ooo003ooooooooooooooooo0?l000[ooooo00?oo`00ooooooooool0 7oooool01?oo003oooooooooool0o`0:ooooo`03o`3o0?oo003ooooo01oooooo00Goo`00oooooooo ooooooooo`3o000:ooooo`03ool00?oooooooooo02gooooo00?o0000ooooooooool0E_ooool6o`00 00_ooooo000_ooooo`04o`3o0?ooooooooooo`00o`Wooooo00?o0?l0ool00?ooool07_ooool00ooo 003oooooooooo`02ooooo`03o`3o0?oooooooooo00Sooooo00?oo`00ooooooooool07Oooool2ool0 00?ooooo00?o0?l0ooooooooool02?ooool00ol0o`3oo`00ooooo`0Nooooo`03ool00?oooooooooo 00;ooooo00?o0?l0ooooooooool02?ooool00ooo003oooooooooo`0]ooooo`03o`000?oooooooooo 05Kooooo1_l0000;ooooo`00;oooool01?l0o`3oooooooooool00?l9ooooo`03o`3o0?oo003ooooo 01gooooo00?oo`00ooooooooool00oooool00ol0o`3oooooooooo`08ooooo`03ool00?oooooooooo 01cooooo00?oo`00ooooooooool00oooool00ol0o`3oooooooooo`08ooooo`03o`3o0?oo003ooooo 01gooooo00?oo`00ooooooooool00oooool00ol0o`3oooooooooo`07ooooo`03o`3o0?oo003ooooo 01gooooo00?oo`00ooooooooool03_ooool00ol0003oooooooooo`0Sooooo`?o000000Co^[Zjoooo oooooooocooooo`03ool00?oooooooooo00Gooooo0ol0 0?l2ooooo`03o`3o0?oooooooooo00Oooooo00?o0?l0ool00?ooool01Oooool00ol00?oooooooooo o`0?ooooo`03ool00?oooooooooo00Cooooo0ol00?l3ooooo`03o`3o0?oooooooooo00Oooooo00?o 0?l0ool00?ooool01Oooool00ol00?ooooooooooo`0>ooooo`03ool00?oooooooooo00Gooooo0_l0 0?l3ooooo`03o`3o0?oooooooooo00Oooooo00?o0?l0ool00?ooool01Oooool00ol00?oooooooooo o`0>ooooo`03ool00?oooooooooo01Gooooo00?o0000ooooooooool08oooool6o`000003oiRHV?oo oooooooo02[ooooo1_l0000;ooooo`00;oooool01Ol0003o0?l0oooooooooooo003o00Sooooo00?o 0?l0ool00?ooool01?ooool00ol00?ooooooooooo`0>ooooo`03ool00?oooooooooo00Sooooo0_l0 0?l00ooooooo0?l0ooooo`08ooooo`03o`3o0?oo003ooooo00Gooooo00?o003oooooooooool03_oo ool00ooo003oooooooooo`07ooooo`;o003o0_ooool00ol0o`3oooooooooo`07ooooo`03o`3o0?oo 003ooooo00Cooooo00?o003oooooooooool03_ooool00ooo003oooooooooo`08ooooo`;o003o00?o ooooo`3o0?ooool02?ooool00ol0o`3oo`00ooooo`05ooooo`03o`00oooooooooooo00kooooo00?o o`00ooooooooool05Oooool00ol0003oooooooooo`1Fooooo`Ko00002oooool002oooooo00?o0000 o`3o0?ooool00_ooool00ol00?ooooooooooo`05ooooo`03o`3o0?oo003ooooo00Cooooo00?o003o ooooooooool03_ooool00ooo003oooooooooo`09ooooo`;o003o00?o0?l0ooooooooool01oooool0 0ol0o`3oo`00ooooo`04ooooo`03o`00oooooooooooo00kooooo00?oo`00ooooooooool02_ooool0 0ol00?ooooooo`3o0009ooooo`03o`3o0?oo003ooooo00Cooooo00?o003oooooooooool03_ooool0 0ooo003oooooooooo`09ooooo`;o003o00?o0?l0ooooooooool01oooool00ol0o`3oo`00ooooo`04 ooooo`03o`00oooooooooooo00kooooo00?oo`00ooooooooool05_ooool00ol0003oooooooooo`1F ooooo`Ko00002oooool002oooooo00?o0000o`3o0?ooool00_ooool00ol00?ooooooooooo`05oooo o`03o`3o0?oo003ooooo00?ooooo00?o003oooooooooool03_ooool00ooo003oooooooooo`0;oooo o`03o`00ool0o`3ooooo00Sooooo00?o0?l0ool00?ooool01?ooool00ol00?ooooooooooo`0>oooo o`03ool00?oooooooooo00[ooooo0_l00?l00ol0o`3oooooooooo`07ooooo`03o`3o0?oo003ooooo 00?ooooo00?o003oooooooooool03_ooool00ooo003oooooooooo`0;ooooo`03o`00ool0o`3ooooo 00Sooooo00?o0?l0ool00?ooool01?ooool00ol00?ooooooooooo`0>ooooo`03ool00?oooooooooo 01Kooooo00?o0000ooooooooool0E_ooool6o`0000_ooooo000_ooooo`03o`000?l0o`3ooooo00;o oooo00?o003oooooooooool01?ooool00ol0o`3oooooool00004ooooo`03o`00oooooooooooo00ko oooo00?oo`00ooooooooool02oooool00ol00?oo0?l0ooooo`08ooooo`03o`3o0?oo003ooooo00?o oooo00?o003oooooooooool03_ooool00ooo003oooooooooo`0ooooo`03ool00?oooooooooo00_o oooo00?o003oo`3o0?ooool02?ooool00ol0o`3oo`00ooooo`04ooooo`03o`00oooooooooooo00go oooo00?oo`00ooooooooool05oooool00ol0003oooooooooo`1Fooooo`Ko00002oooool002oooooo 00?o0000o`3o0?ooool00_ooool00ol00?ooooooooooo`04ooooo`03o`3o0?ooooooo`0000Cooooo 00?o003oooooooooool03Oooool00ooo003oooooooooo`0=ooooo`03o`00oooooooooooo00Oooooo 00?o0?l0ool00?ooool00oooool00ol00?ooooooooooo`0>ooooo`03ool00?oooooooooo00cooooo 0_l00?l8ooooo`03o`3o0?ooooooo`0000Cooooo00?o003oooooooooool03Oooool00ooo003ooooo ooooo`0=ooooo`03o`00oooooooooooo00Oooooo00?o0?l0ool00?ooool00oooool00ol00?oooooo ooooo`0>ooooo`03ool00?oooooooooo01Oooooo00?o0000ooooooooool0E_ooool6o`0000_ooooo 000_ooooo`03o`000?l0o`3ooooo00;ooooo00?o003oooooooooool01?ooool00ol0o`3oooooool0 0004ooooo`03o`00oooooooooooo00gooooo00?oo`00ooooooooool03Oooool00ol0o`3o003ooooo o`07ooooo`03o`3o0?ooooooo`0000?ooooo00?o003oooooooooool03Oooool00ooo003ooooooooo o`0>ooooo`03o`00oooooooooooo00Kooooo00?o0?l0oooooooo00001?ooool00ol00?oooooooooo o`0=ooooo`03ool00?oooooooooo00gooooo0_l00?l8ooooo`03o`3o0?oo003ooooo00?ooooo00?o 003oooooooooool03Oooool00ooo003oooooooooo`0Hooooo`03o`000?oooooooooo05Kooooo1_l0 000;ooooo`00;oooool00ol0003o0?l0ooooo`02ooooo`03o`00oooooooooooo00Cooooo00?o0?l0 oooooooo00000oooool00ol00?ooooooooooo`0=ooooo`03ool00?oooooooooo00kooooo00?o0?l0 o`00ooooool01oooool00ol0o`3oooooool00003ooooo`03o`00oooooooooooo00gooooo00?oo`00 ooooooooool03_ooool00ol00?ooooooooooo`06ooooo`03o`3o0?ooooooo`0000?ooooo00?o003o ooooooooool03Oooool00ooo003oooooooooo`0>ooooo`03o`3o0?l00?oooooo00Oooooo00?o0?l0 ool00?ooool00oooool00ol00?ooooooooooo`0=ooooo`03ool00?oooooooooo01Sooooo00?o0000 ooooooooool0E_ooool6o`0000_ooooo000Gooooo`05odA4A?l0003o0000oc8b<_oMgMd00_ooool0 1Oo^k^ko ooooo`03o`3o0?l00?oooooo00Oooooo00?o0?l0oooooooo00000_ooool00ol00?ooooooooooo`0= ooooo`03ool00?oooooooooo00oooooo00?o0?l0o`00ooooool01_ooool00ol0o`3oooooool00003 ooooo`03o`00oooooooooooo00gooooo00?oo`00ooooooooool03_ooool00ol0o`3o003oooooo`07 ooooo`03o`3o0?oo003ooooo00;ooooo00?o003oooooooooool03Oooool00ooo003oooooooooo`0I ooooo`03o`000?oooooooooo05Kooooo1_l0000;ooooo`006oooool01?l0003oooooooooool@4103 ooooo`05oa0@4?ooooooooooooooool@41000oooool00ol@413oooooooooo`02ooooo`03o`000?l0 o`3ooooo00;ooooo00?o003oooooooooool01?ooool00ol0o`3oooooool00003ooooo`03o`00oooo oooooooo00cooooo00?oo`00ooooooooool03oooool00ol0o`3oooooo`00o`06ooooo`04o`3o0?oo ooooooooool000;ooooo00?o003oooooooooool03Oooool00ooo003oooooooooo`0?ooooo`03o`3o 0?l00?oooooo00Kooooo00?o0?l0oooooooo00000_ooool00ol00?ooooooooooo`0=ooooo`03ool0 0?oooooooooo00oooooo00?o0?l0o`00ooooool01oooool00ol0o`3oo`00ooooo`02ooooo`03o`00 oooooooooooo00cooooo00?oo`00ooooooooool06_ooool00ol0003oooooooooo`1Fooooo`Ko0000 2oooool001[ooooo00GoMgMgoc8b<_ooooooooooo`000003ooooo`05o`000?ooooooooooooooool0 00000oooool00ol0003oooooooooo`02ooooo`03o`000?l0o`3ooooo00?ooooo00?o003ooooooooo ool00oooool00ol0o`3oooooool00003ooooo`03o`00oooooooooooo00cooooo00?oo`00oooooooo ool03oooool00ol0o`3oooooo`00o`06ooooo`04o`3o0?ooooooooooool000;ooooo00?o003ooooo ooooool03?ooool00ooo003oooooooooo`0@ooooo`03o`3o0?l00?oooooo00Gooooo00Co0?l0oooo ooooooooo`000_ooool00ol00?ooooooooooo`0=ooooo`03ool00?oooooooooo00oooooo00?o0?l0 o`00ooooool01_ooool00ol0o`3oooooool00003ooooo`03o`00oooooooooooo00cooooo00?oo`00 ooooooooool06_ooool00ol0003oooooooooo`1Fooooo`Ko00002oooool001Oooooo00Go0000ob4Q 8Ol0003oooooo`03ool00?oooooooooo01_ooooo00?o0000ooooooooool0E_ooool6 o`0000_ooooo000_ooooo`03o`000?l0o`3ooooo00?ooooo00?o003oooooooooool00_ooool01?l0 o`3ooooooooooooo0002ooooo`03o`00oooooooooooo00_ooooo00?oo`00ooooooooool04Oooool0 0ol0o`3oooooo`00o`06ooooo`06o`3o0?ooooooooooool00?oooooo003o3_ooool00ooo003ooooo ooooo`0Aooooo`03o`3o0?oooooo003o00Gooooo00Co0?l0ooooooooooooo`000_ooool00ol00?oo ooooooooo`0;ooooo`03ool00?oooooooooo01;ooooo00?o0?l0o`00ooooool01Oooool01_l0o`3o oooooooooooo003oooooo`00o`kooooo00?oo`00ooooooooool06oooool00ol0003oooooooooo`1F ooooo`Ko00002oooool002oooooo00?o0000o`3o0?ooool00oooool00ol00?ooooooooooo`02oooo o`04o`3o0?ooooooooooool000;ooooo00?o003oooooooooool02_ooool00ooo003oooooooooo`0B ooooo`04o`3o0?ooooooooooo`00o`Gooooo00Ko0?l0ooooooooooooo`00ooooool00?l=ooooo`03 ool00?oooooooooo01;ooooo00?o0?l0ooooool00?l01Oooool01?l0o`3ooooooooooooo0002oooo o`03o`00oooooooooooo00_ooooo00?oo`00ooooooooool04_ooool00ol0o`3o003oooooo`05oooo o`06o`3o0?ooooooooooool00?oooooo003o3Oooool00ooo003oooooooooo`0Looooo`03o`000?oo oooooooo05Kooooo1_l0000;ooooo`00;oooool00ol0003o0?l0ooooo`03ooooo`03o`00oooooooo oooo00;ooooo00Co0?l0ooooooooooooo`000_ooool00ol00?ooooooooooo`0:ooooo`03ool00?oo oooooooo01;ooooo00Co0?l0oooooooooooo003o1Oooool01_l0o`3ooooooooooooo003oooooo`00 o`gooooo00?oo`00ooooooooool04_ooool00ol0o`3oooooo`00o`05ooooo`04o`3o0?oooooooooo ool000;ooooo00?o003oooooooooool02_ooool00ooo003oooooooooo`0Cooooo`03o`3o0?oooooo 003o00Gooooo00Ko0?l0ooooooooooooo`00ooooool00?l=ooooo`03ool00?oooooooooo01cooooo 00?o0000ooooooooool0E_ooool6o`0000_ooooo000_ooooo`03o`000?l0o`3ooooo00?ooooo00?o 003oooooooooool00_ooool01?l0o`3ooooooooooooo0002ooooo`03o`00oooooooooooo00[ooooo 00?oo`00ooooooooool04_ooool01?l0o`3oooooooooool00?l5ooooo`06o`3o0?ooooooooooool0 0?oooooo003o3Oooool00ooo003oooooooooo`0Booooo`03o`3o0?oooooo003o00Gooooo00Co0?l0 ooooooooooooo`000_ooool00ol00?ooooooooooo`0:ooooo`03ool00?oooooooooo01?ooooo00?o 0?l0ooooool00?l01Oooool01_l0o`3ooooooooooooo003oooooo`00o`gooooo00?oo`00oooooooo ool07?ooool00ol0003oooooooooo`1Fooooo`Ko00002oooool002oooooo00?o0000o`3o0?ooool0 0oooool00ol00?ooooooooooo`02ooooo`04o`3o0?ooooooooooool000;ooooo00?o003ooooooooo ool02_ooool00ooo003oooooooooo`0Cooooo`03o`3o0?oooooo003o00Gooooo00Ko0?l0oooooooo ooooo`00ooooool00?looooo`00;oooool01?l0003oooooooooool0o`02ooooo`03o`3o0?oooooo oooo00;ooooo00Ko003ooooooooooooo003ooooooooo0003ooooo`03ool00?oooooooooo02Cooooo 00Oo003oooooooooooooooooo`00ooooooooo`0000;ooooo00?oo`00ooooooooool09Oooool01?l0 0?ooooooooooool00?l2ooooo`03ool00?ooooooo`0002Oooooo00Oo003oooooooooooooooooo`00 ooooooooo`0000;ooooo00?oo`00ooooooooool09oooool00ol0003oooooooooo`1Fooooo`03o`00 0?oooooooooo00kooooo000_ooooo`04o`000?ooooooooooo`3o00;ooooo00?o0?l0ooooooooool0 0_ooool01?l00?ooooooooooool00?l2ooooo`03ool00?ooooooo`0002Oooooo00Wo003ooooooooo ooooooooo`00ooooooooo`00oooooooo0000:?ooool01?l00?ooooooooooool00?l2ooooo`03ool0 0?ooooooo`0002Oooooo00Oo003oooooooooooooooooo`00ooooooooo`0000;ooooo00?oo`00oooo ooooool09oooool00ol0003oooooooooo`1Fooooo`03o`000?oooooooooo00kooooo000_ooooo`04 o`000?ooooooooooo`3o00;ooooo00?o0?l0ooooooooool00_ooool01?l00?ooooooooooool00?l2 ooooo`03ool00?ooooooo`0002Oooooo00Wo003oooooooooooooooooo`00ooooooooo`00oooooooo 0000:?ooool01?l00?ooooooooooool00?l2ooooo`03ool00?ooooooo`0002Oooooo00Wo003ooooo ooooooooooooo`00ooooooooo`00oooooooo0000:_oooomJo`00013ooooo000_ooooo`;o00000_oo ool00ol0o`3oooooo`3o0004ooooo`04o`00ooooooooooooo`00o`;ooooo00?oo`00oooooooo0000 :?ooool01?l00?ooooooooooool00?l2ooooo`;oo`00:?ooool01?l00?ooooooooooool00?l2oooo o`;oo`00:Oooool01?l00?ooooooooooool00?l2ooooo`;oo`00U?ooool002oooooo00Co0000oooo oooooooooooo0_l0o`05ooooo`04o`00ooooooooooooo`00o`;ooooo0ooo000Xooooo`04o`00oooo ooooooooo`00o`;ooooo0_oo000Xooooo`04o`00ooooooooooooo`00o`?ooooo00?oo`00oooooooo ool09oooool01?l00?ooooooooooool00?l2ooooo`;oo`00U?ooool002oooooo00Co0000oooooooo oooooooo0_l0o`05ooooo`04o`00ooooooooooooo`00o`;ooooo0_oo000Yooooo`04o`00oooooooo ooooo`00obcooooo00Co003ooooooooooooo003o;Oooool01?l00?ooooooooooool00?nHooooo`00 ;oooool00ol0003oooooooooo`08ooooo`04o`00ooooooooooooo`00obgooooo00Co003ooooooooo oooo003o;?ooool01?l00?ooooooooooool00?l]ooooo`04o`00ooooooooooooo`00oiSooooo000_ ooooo`03o`000?oooooooooo00Wooooo00?o003oooooool00?l0;Oooool01?l00?ooooooooooool0 0?l]ooooo`03o`00oooooooo003o02gooooo00Co003ooooooooooooo003oV?ooool002oooooo0_l0 000:ooooo`03o`00oooooooo003o02gooooo00Co003ooooooooooooo003o;Oooool00ol00?oooooo o`00o`0]ooooo`03o`00oooooooo003o09Wooooo000_ooooo`03o`000?oooooooooo00Wooooo00?o 003oooooool00?l0;Oooool01?l00?ooooooooooool00?l]ooooo`03o`00oooooooo003o02gooooo 00?o003oooooool00?l0VOooool002oooooo00?o0000ooooooooool02Oooool00ol00?ooooooo`00 o`0]ooooo`04o`00ooooooooooooo`00obgooooo00?o003oooooool00?l0;Oooool00ol00?oooooo o`00o`2Iooooo`00;oooool00ol0003oooooooooo`09ooooo`03o`00oooooooo003o02gooooo00Co 003ooooooooooooo003o;Oooool00ol00?ooooooo`00o`0]ooooo`03o`00oooooooo003o09Wooooo 000_ooooo`03o`000?oooooooooo00Wooooo00?o003oooooool00?l0;Oooool01?l00?oooooooooo ool00?l]ooooo`03o`00oooooooo003o02gooooo00?o003oooooool00?l0VOooool002oooooo00?o 0000ooooooooool02Oooool00ol00?ooooooo`00o`0]ooooo`04o`00ooooooooooooo`00obgooooo 00?o003oooooool00?l0;_ooool2o`00oiWooooo000_ooooo`;o00002_ooool00ol00?ooooooo`00 o`0^ooooo`03o`00oooooooo003o02gooooo00?o003oooooool00?l0;_ooool2o`00oiWooooo000_ ooooo`03o`000?oooooooooo00Wooooo00?o003oooooool00?l0;_ooool00ol00?ooooooo`00o`0] ooooo`03o`00oooooooo003o02kooooo0_l00?nIooooo`00;oooool00ol0003oooooooooo`09oooo o`03o`00oooooooo003o02kooooo00?o003oooooool00?l0;Oooool00ol00?ooooooo`00o`0^oooo o`;o003oVOooool000kooooo1Ol00003ooooo`05onk^k_lboooo o`05oiRHV?l@413o0000ob4Q8Oo"], ImageRangeCache->{{{0, 359}, {159, 0}} -> {-1.07501, -0.648942, 0.0102035, \ 0.0102035}, {{9.1875, 254.188}, {155.188, 3.75}} -> {-0.0643806, -0.0318367, \ 0.0053572, 0.0053572}, {{15, 248.312}, {151.562, 7.3125}} -> {-25.0506, \ -492.573, 0.659378, 23.3351}, {{254.188, 343.688}, {140.75, 42.75}} -> \ {-9.64554, -0.785333, 0.0469393, 0.0469393}, {{258.938, 285.562}, {135.938, \ 109.312}} -> {-10.2367, -4.64221, 0.0492963, 0.159526}, {{258.938, 285.562}, \ {105.062, 78.375}} -> {-10.2367, -8.58649, 0.0492963, 0.159526}, {{258.938, \ 285.562}, {74.125, 47.5}} -> {-10.2367, -12.5308, 0.0492963, 0.159526}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(phasePlot[sim, {R, C}]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.000548689 0.0147151 0.000268758 [ [.16098 .00222 -9 -9 ] [.16098 .00222 9 0 ] [.29815 .00222 -9 -9 ] [.29815 .00222 9 0 ] [.43533 .00222 -9 -9 ] [.43533 .00222 9 0 ] [.5725 .00222 -12 -9 ] [.5725 .00222 12 0 ] [.70967 .00222 -12 -9 ] [.70967 .00222 12 0 ] [.84684 .00222 -12 -9 ] [.84684 .00222 12 0 ] [.98401 .00222 -12 -9 ] [.98401 .00222 12 0 ] [1.025 .01472 0 -6 ] [1.025 .01472 10 6 ] [.01131 .14909 -18 -4.5 ] [.01131 .14909 0 4.5 ] [.01131 .28347 -24 -4.5 ] [.01131 .28347 0 4.5 ] [.01131 .41785 -24 -4.5 ] [.01131 .41785 0 4.5 ] [.01131 .55223 -24 -4.5 ] [.01131 .55223 0 4.5 ] [.02381 .64303 -5 0 ] [.02381 .64303 5 12 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .16098 .01472 m .16098 .02097 L s [(250)] .16098 .00222 0 1 Mshowa .29815 .01472 m .29815 .02097 L s [(500)] .29815 .00222 0 1 Mshowa .43533 .01472 m .43533 .02097 L s [(750)] .43533 .00222 0 1 Mshowa .5725 .01472 m .5725 .02097 L s [(1000)] .5725 .00222 0 1 Mshowa .70967 .01472 m .70967 .02097 L s [(1250)] .70967 .00222 0 1 Mshowa .84684 .01472 m .84684 .02097 L s [(1500)] .84684 .00222 0 1 Mshowa .98401 .01472 m .98401 .02097 L s [(1750)] .98401 .00222 0 1 Mshowa .125 Mabswid .05124 .01472 m .05124 .01847 L s .07868 .01472 m .07868 .01847 L s .10611 .01472 m .10611 .01847 L s .13355 .01472 m .13355 .01847 L s .18842 .01472 m .18842 .01847 L s .21585 .01472 m .21585 .01847 L s .24328 .01472 m .24328 .01847 L s .27072 .01472 m .27072 .01847 L s .32559 .01472 m .32559 .01847 L s .35302 .01472 m .35302 .01847 L s .38046 .01472 m .38046 .01847 L s .40789 .01472 m .40789 .01847 L s .46276 .01472 m .46276 .01847 L s .49019 .01472 m .49019 .01847 L s .51763 .01472 m .51763 .01847 L s .54506 .01472 m .54506 .01847 L s .59993 .01472 m .59993 .01847 L s .62737 .01472 m .62737 .01847 L s .6548 .01472 m .6548 .01847 L s .68224 .01472 m .68224 .01847 L s .7371 .01472 m .7371 .01847 L s .76454 .01472 m .76454 .01847 L s .79197 .01472 m .79197 .01847 L s .81941 .01472 m .81941 .01847 L s .87428 .01472 m .87428 .01847 L s .90171 .01472 m .90171 .01847 L s .92915 .01472 m .92915 .01847 L s .95658 .01472 m .95658 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s gsave 1.025 .01472 -61 -10 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 13.000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (R) show 1.000 setlinewidth grestore .02381 .14909 m .03006 .14909 L s [(500)] .01131 .14909 1 0 Mshowa .02381 .28347 m .03006 .28347 L s [(1000)] .01131 .28347 1 0 Mshowa .02381 .41785 m .03006 .41785 L s [(1500)] .01131 .41785 1 0 Mshowa .02381 .55223 m .03006 .55223 L s [(2000)] .01131 .55223 1 0 Mshowa .125 Mabswid .02381 .04159 m .02756 .04159 L s .02381 .06847 m .02756 .06847 L s .02381 .09534 m .02756 .09534 L s .02381 .12222 m .02756 .12222 L s .02381 .17597 m .02756 .17597 L s .02381 .20285 m .02756 .20285 L s .02381 .22972 m .02756 .22972 L s .02381 .2566 m .02756 .2566 L s .02381 .31035 m .02756 .31035 L s .02381 .33722 m .02756 .33722 L s .02381 .3641 m .02756 .3641 L s .02381 .39098 m .02756 .39098 L s .02381 .44473 m .02756 .44473 L s .02381 .4716 m .02756 .4716 L s .02381 .49848 m .02756 .49848 L s .02381 .52536 m .02756 .52536 L s .02381 .57911 m .02756 .57911 L s .02381 .60598 m .02756 .60598 L s .25 Mabswid .02381 0 m .02381 .61803 L s gsave .02381 .64303 -66 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 13.000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (C) show 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .02381 .01472 m .02389 .0828 L .02396 .16622 L .02401 .22108 L .02408 .27448 L .02412 .30357 L .02418 .33579 L .02424 .36463 L .02432 .39558 L .02442 .42436 L .02457 .45624 L .02465 .47024 L .02476 .48531 L .02487 .49849 L .02501 .51251 L .02513 .52174 L .02526 .53009 L .02557 .5463 L .02582 .55532 L .02617 .56499 L .02664 .57401 L .02729 .58214 L .02983 .59605 L .03417 .60234 L .04783 .60332 L .08888 .59088 L .14501 .5698 L .29046 .51058 L .68355 .33605 L .81145 .27173 L .89056 .22626 L .93737 .19364 L .95121 .18179 L .96244 .17028 L .97027 .15977 L .97487 .15006 L .97595 .14545 L .97619 .14087 L .97446 .13346 L .97073 .12752 L .9647 .12187 L .95736 .11719 L .94937 .11337 L .93158 .10727 L .92152 .10467 L .90977 .10213 L .88062 .09736 L .85214 .09405 L .81797 .09117 L .78492 .08913 L Mistroke .75441 .08772 L .72631 .08671 L .69592 .08586 L .66425 .08519 L .63439 .08471 L .60387 .08434 L .57868 .08412 L .55202 .08395 L .53742 .08388 L .5244 .08383 L .51732 .0838 L .50972 .08378 L .50323 .08377 L .49616 .08376 L .48973 .08375 L .48376 .08374 L .47754 .08374 L .47092 .08373 L .46515 .08373 L .45916 .08373 L .44864 .08374 L .43805 .08375 L .42865 .08377 L .41803 .08379 L .40825 .08381 L .37386 .08393 L .35563 .08402 L .33962 .08411 L .30608 .08435 L .28003 .08459 L .25461 .08488 L .2146 .08551 L .19347 .08598 L .17545 .08648 L .16087 .08699 L .14624 .08763 L .12248 .08909 L .11111 .09008 L .10128 .09118 L .08533 .09369 L .07687 .09558 L .06905 .09782 L .0602 .10104 L .04729 .10694 L .03668 .11239 L .0298 .11609 L .02576 .11859 L .02466 .11987 L .02429 .12127 L .02414 .1231 L Mistroke .02406 .12572 L .02404 .12747 L .02402 .12962 L .024 .13418 L .02399 .13937 L .02398 .14483 L .02398 .14846 L .02398 .15208 L .02398 .15932 L .02398 .16366 L .02398 .1678 L .02399 .1777 L .024 .19461 L .02402 .21493 L .02407 .26075 L .02414 .31276 L .0242 .33985 L .02425 .36561 L .0244 .41521 L .02451 .44195 L .02459 .45689 L .02467 .47065 L .0249 .49922 L .02506 .51424 L .02529 .53003 L .02557 .54376 L .02593 .55644 L .02655 .57017 L .02782 .58439 L .02933 .592 L .03232 .59812 L .04255 .60126 L .08026 .591 L .19623 .54624 L .33795 .48705 L .71079 .31827 L .81581 .26403 L .8917 .21902 L .91577 .20233 L .93531 .18681 L .94866 .1741 L .95723 .16379 L .96294 .15414 L .96568 .14501 L .96554 .13793 L .96313 .13133 L .95924 .12608 L .95431 .1217 L .94765 .1174 L .93924 .11333 L Mistroke .92792 .10915 L .9163 .1058 L .90277 .10267 L .88684 .09972 L .85824 .09572 L .82627 .09251 L .79654 .09032 L .76422 .08853 L .73377 .08725 L .70619 .08635 L .67677 .0856 L .65066 .08508 L .62129 .08464 L .59446 .08433 L .57035 .08412 L .54884 .08398 L .526 .08387 L .51481 .08383 L .50275 .0838 L .49657 .08378 L .48992 .08377 L .47803 .08376 L .46671 .08375 L .45644 .08375 L .44562 .08376 L .43956 .08376 L .43394 .08377 L .42284 .08379 L .41117 .08381 L .39186 .08387 L .37248 .08394 L .34014 .08411 L .30935 .08432 L .28382 .08455 L .25874 .08483 L .23411 .08517 L .21347 .08554 L .19612 .08591 L .16616 .0868 L .15243 .08734 L .13898 .08801 L .11763 .08949 L .10618 .0906 L .09618 .09187 L .08777 .09323 L .07899 .09506 L .06993 .09754 L .06065 .10086 L .04961 .1058 L .0402 .11055 L Mistroke .02777 .11726 L .02503 .11929 L .02435 .1209 L .02421 .12202 L .02413 .1233 L .02405 .1263 L .02402 .12979 L .024 .13363 L .02399 .1385 L .02398 .14439 L .02398 .15095 L .02398 .15493 L .02398 .15875 L .02398 .16623 L .02399 .17466 L .024 .19434 L .02402 .21831 L .02407 .2661 L .02415 .31599 L .02425 .36377 L .02432 .39165 L .02441 .41781 L .02453 .44637 L .02469 .47334 L .0248 .48889 L .02493 .50311 L .02513 .51952 L .02524 .52691 L .02538 .53505 L .02573 .54996 L .02599 .55808 L .02631 .56564 L .0272 .5789 L .02944 .59238 L .03259 .59841 L .0435 .60118 L .08187 .59044 L .14125 .56821 L .39676 .46176 L .73294 .30727 L .83598 .25278 L .90598 .20936 L .94217 .1806 L .95461 .16726 L .96182 .15642 L .96518 .14771 L .96586 .14065 L .96418 .13345 L .96044 .12744 L .95507 .12228 L Mistroke .9489 .11812 L .94047 .11386 L .9314 .11031 L .91302 .10498 L .89064 .10037 L .86373 .09639 L .83369 .09317 L .80725 .09104 L .77783 .08922 L .74736 .08778 L .71448 .0866 L .68393 .08577 L .65626 .08519 L .63196 .08479 L .60585 .08445 L .57942 .08419 L .55542 .08402 L .52991 .08389 L .51745 .08384 L .50412 .0838 L .49293 .08378 L .48122 .08376 L .4704 .08375 L .46077 .08375 L .45495 .08375 L .44886 .08375 L .43814 .08376 L .43228 .08377 L .42687 .08378 L .41479 .0838 L .39534 .08386 L .37542 .08393 L .33977 .08411 L .30973 .08432 L .27985 .08459 L .25127 .08492 L .22681 .08529 L .20606 .08569 L .17248 .08658 L .15819 .0871 L .14395 .08775 L .13047 .08853 L .11904 .08937 L .10084 .09124 L .09165 .09256 L .08373 .09401 L .07556 .09592 L .06671 .0986 L .05817 .10188 L .0447 .10824 L Mistroke .03145 .11519 L .02597 .11843 L .02461 .11999 L .02436 .12085 L .02421 .12192 L .02413 .12336 L .02408 .12493 L .02405 .12657 L .02403 .12858 L .024 .13284 L .02399 .13756 L .02398 .14054 L .02398 .1435 L .02398 .15002 L .02398 .15397 L .02398 .15776 L .02398 .16492 L .02398 .17328 L .024 .18989 L .02403 .22917 L .02408 .27105 L .02416 .32126 L .02421 .34848 L .02429 .37913 L .02438 .40994 L .0245 .43912 L .02467 .47032 L .0248 .48789 L .02494 .5039 L .02512 .51883 L .02534 .53258 L .02566 .54761 L .02588 .55513 L .0262 .56336 L .02702 .57692 L .029 .59078 L .03651 .60077 L .0815 .59057 L .1941 .54711 L .31241 .49791 L .50873 .41248 L .79267 .27652 L .91216 .20496 L .931 .19046 L .94585 .17701 L .9555 .16613 L .96152 .15698 L .96521 .14757 L .96582 .14004 L .96394 .1329 L Mistroke .96184 .12927 L .9593 .12615 L .95394 .12142 L .94654 .11679 L .93738 .11255 L .92765 .10906 L .9157 .10565 L .90208 .10253 L .87565 .09799 L .84512 .09427 L .81028 .09126 L .77954 .08931 L .74614 .08773 L .71486 .08661 L .68647 .08583 L .66132 .08528 L .6343 .08482 L .60687 .08446 L .58201 .08421 L .56845 .0841 L .55396 .08401 L .54143 .08394 L .52837 .08388 L .51568 .08383 L .50442 .0838 L .49332 .08378 L .48308 .08376 L .47741 .08376 L .47127 .08375 L .46493 .08375 L .4591 .08375 L .44881 .08375 L .43804 .08376 L .43208 .08377 L .4257 .08378 L .41433 .08381 L .39383 .08386 L .3767 .08393 L .35908 .08401 L .32927 .08418 L .29704 .08443 L .27036 .08469 L .24527 .08501 L .22063 .0854 L .19973 .08583 L .18218 .08628 L .16854 .08671 L .15498 .08723 L .14397 .08775 L .1332 .08835 L Mistroke .12418 .08896 L .11495 .08972 L .1002 .09132 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgooooo`Co000000?o410@ ooooooooool01Ol00004ooooo`05odA4A?l0003o0000oc8b<_oMgMd00_ooool01Oo^k^koooooo`03oeEEEOmVIVKo000000Gooooo1?l00003ooooo`05onk^k_lbooooo`;o000000?oooooo`000?l00000 ;oooool002Gooooo00?o0000ooooooooool0ooooool_ooool002Gooooo0_l0003oooooo`;o 00000_ooool2o`0003cooooo000Uooooo`03o`000?oooooooooo0?cooooo0ol000000ooooooo0000 o`00000nooooo`009Oooool00ol0003oooooooooo`3jooooo`?o00000_ooool00ol0003ooooooooo o`0nooooo`009Oooool00ol0003oooooooooo`3iooooo`?o000000?oooooo`000?l00000@Oooool0 02Gooooo00?o0000ooooooooool0moooool3o`000003ooooool0003o000004?ooooo000Uooooo`03 o`000?oooooooooo0?Gooooo1_l00015ooooo`009Oooool00ol0003oooooooooo`3dooooo`03o`00 0?oooooo000000;o0000Aoooool002Gooooo00?o0000ooooooooool0l_ooool5o`0004Wooooo000U ooooo`;o0000lOooool5o`0004_ooooo000Uooooo`03o`000?oooooooooo0>oooooo1?l0001=oooo o`009Oooool00ol0003oooooooooo`3]ooooo`Go0000C_ooool002Gooooo00?o0000ooooooooool0 joooool5o`00053ooooo000Uooooo`03o`000?oooooooooo0>Wooooo1Ol0001Booooo`009Oooool0 0ol0003oooooooooo`3Wooooo`Go0000E?ooool000?ooooo1?l000002?l@413oooooooooooo^k^ko Kooooo1?l0001Fooooo`001Oooool00ol0003o ooooooooo`02ooooo`05ogMgMonHV9SooooooiRHV?mgMgL00oooool01OmgMgOoV9RHoooooonHV9So MgMg00?ooooo00GoMgMgoiRHV?ooooooV9RHogMgM`06ooooo`03o`000?oooooooooo0>Cooooo1?l0 001Hooooo`001Oooool00ol0003oooooooooo`02ooooo`05oa0@4?ooooooooooooooool@41000ooo ool01Ol@413ooooooooooooooooo410@00?ooooo00Go410@oooooooooooooooooa0@4006ooooo`?o 0000h_ooool4o`0005[ooooo0005ooooo`03o`000?oooooooooo00;ooooo00Go0000oooooooooooo ooooo`000003ooooo`05o`000?ooooooooooooooool000000oooool01Ol0003ooooooooooooooooo 000000Kooooo00?o0000ooooooooool0h?ooool4o`0005cooooo0005ooooo`03o`000?oooooooooo 00;ooooo00Go0000ooooooooooooooooo`000003ooooo`05o`000?ooooooooooooooool000000ooo ool01Ol0003ooooooooooooooooo000000Kooooo00?o0000ooooooooool0g_ooool4o`0005kooooo 0005ooooo`03o`000?oooooooooo00;ooooo00Go410@oooooooooooooooooa0@4003ooooo`05oa0@ 4?ooooooooooooooool@41000oooool01Ol@413ooooooooooooooooo410@00Kooooo00?o0000oooo ooooool0foooool5o`00063ooooo0005ooooo`03o`000?oooooooooo00;ooooo00GoMgMgoiRHV?oo ooooV9RHogMgM`03ooooo`05ogMgMonHV9SooooooiRHV?mgMgL00oooool01OmgMgOoV9RHoooooonH V9SoMgMg00Kooooo00?o0000ooooooooool0fOooool5o`0006;ooooo0003ooooo`03oeEEEOmVIVKo 000000Cooooo00Gok^k^oc8b<_l0003oooooo`Go0000[Oooool000Gooooo00?o0000ooooooooool01oooool01?l0003ooooo ooooool@4103ooooo`05oa0@4?ooooooooooooooool@41000oooool00ol@413oooooooooo`04oooo o`03o`000?oooooooooo08cooooo1Ol0002_ooooo`001Oooool00ol0003oooooooooo`06ooooo`05 ogMgMolb7o oooo000Uooooo`;o0000FOooool5o`000>?ooooo000Uooooo`;o0000Eoooool4o`000>Kooooo000U ooooo`;o0000EOooool4o`000>Sooooo000Uooooo`;o0000D_ooool5o`000>[ooooo000Uooooo`;o 0000D?ooool5o`000>cooooo000Uooooo`;o0000C_ooool4o`000>oooooo000Uooooo`;o0000Booo ool5o`000?7ooooo000Uooooo`;o0000BOooool5o`000??ooooo000Uooooo`;o0000A_ooool5o`00 0?Kooooo000Uooooo`;o0000A?ooool5o`000?Sooooo000Uooooo`;o0000@_ooool4o`000?_ooooo 000Uooooo`;o0000?oooool5o`000?gooooo000Uooooo`;o0000?Oooool5o`000?oooooo000Uoooo o`;o0000>_ooool5o`000?oooooo0oooool002Gooooo0_l0000hooooo`Go0000ooooool5ooooo`00 9Oooool2o`0003Kooooo1?l0003oooooo`Sooooo0002ooooo`Go00000oooool01Oo^k^ko_ooool002Gooooo0_l0003ooooood;ooooo000Uooooo`03o`000?oooooooooo0?oo oooo@Oooool002Gooooo00?o0000ooooooooool0oooooom1ooooo`009Oooool00ol0003ooooooooo o`3ooooood7ooooo000Uooooo`03o`000?oooooooooo0?oooooo@Oooool00?ooooooJOooool00?oo ooooJOooool00?ooooooJOooool00?ooooooJOooool00?ooooooJOooool00?ooooooJOooool00?oo ooooJOooool00?ooooooJOooool00?ooooooJOooool00?ooooooJOooool00?ooooooJOooool002?o oooo00GoV9RHoa0@4?l0003o"], ImageRangeCache->{{{0, 359}, {221.375, 0}} -> {-225.797, -183.975, 7.48177, \ 15.2746}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Generate SBML", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(\(cit = htmlModelDescription[ rates \[Rule] RateConstants, \[IndentingNewLine]system \[Rule] \ s, \[IndentingNewLine]initialConditions \[Rule] \ STNInitialConditions, \[IndentingNewLine]title \[Rule] \ \ "\<

Minimal Model for Circadian Oscillations

\>", \ \[IndentingNewLine]citation \[Rule] "\", \[IndentingNewLine]URL \[Rule] \ \ "\", \ \[IndentingNewLine]tableproperties \[Rule] \ {border \[Rule] \ 0, \ cellpadd + ing \[Rule] \ 2, \ cellspacing \[Rule] \ 0}, \[IndentingNewLine]Greek \[Rule] \ False, \[IndentingNewLine]htmlfile \[Rule] \ \ "\", \ \[IndentingNewLine]description \[Rule] \ "\"\ \ \[IndentingNewLine]];\)\)], "Input"], Cell[BoxData[ \("ERATO/models/Vilar Circadian Oscillator/vilar.html"\)], "Print"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(writeSBML[STN, RateConstants, \ \[IndentingNewLine]file \[Rule] \ \ "\", \ \[IndentingNewLine]filetype \[Rule] \ "\", \ \[IndentingNewLine]literalnote \[Rule] \ cit, \[IndentingNewLine]compartment