(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' 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[ 153981, 5489]*) (*NotebookOutlinePosition[ 154609, 5511]*) (* CellTagsIndexPosition[ 154565, 5507]*) (*WindowFrame->Normal*) Notebook[{ Cell[TextData[StyleBox["The strategy here is to utilize a multi-output \ feed-forward loop. In particular, an intermediate gene Y is introduced. \n\n\ In particular, one could consider AND logic at each of genes Z1, Z2, Z3, \ receiving inputs from genes X and Y.", FontSize->14, FontColor->RGBColor[0, 0, 1]]], "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(SIMODE\ = \ {\(x'\)[ t]\ \[Equal] \[Beta]x\ * UnitStep[t - 1]*\((1 - UnitStep[t - 5])\) - \[Alpha]x\ *\ x[t], \(y'\)[ t] == \[Beta]y\ *UnitStep[x[t] - kxy] - \[Alpha]y\ *\ y[t], \[IndentingNewLine]\(z1'\)[ t] \[Equal] \ \[Beta]z1\ *UnitStep[x[t] - kz1]* UnitStep[y[t] - kyz1] - \[Alpha]z1\ *\ z1[t], \[IndentingNewLine]\(z2'\)[ t] \[Equal] \ \[Beta]z2\ *UnitStep[x[t] - kz2]* UnitStep[y[t] - kyz2] - \[Alpha]z2\ *\ z2[t], \[IndentingNewLine]\(z3'\)[ t] \[Equal] \ \[Beta]z3\ *UnitStep[x[t] - kz3]* UnitStep[y[t] - kyz3] - \[Alpha]z3\ *\ z3[t]};\)\), "\[IndentingNewLine]", \(\(% // TableForm\) // TraditionalForm\)}], "Input"], Cell[BoxData[ FormBox[ InterpretationBox[GridBox[{ { RowBox[{ RowBox[{ SuperscriptBox["x", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{"\[Beta]x", " ", RowBox[{"(", RowBox[{"1", "-", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(t - 5\), ")"}]}], ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(t - 1\), ")"}]}], "-", \(\[Alpha]x\ \(x(t)\)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["y", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{"\[Beta]y", " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - kxy\), ")"}]}], "-", \(\[Alpha]y\ \(y(t)\)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["z1", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{"\[Beta]z1", " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - kz1\), ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(y(t) - kyz1\), ")"}]}], "-", \(\[Alpha]z1\ \(z1(t)\)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["z2", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{"\[Beta]z2", " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - kz2\), ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(y(t) - kyz2\), ")"}]}], "-", \(\[Alpha]z2\ \(z2(t)\)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["z3", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{"\[Beta]z3", " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - kz3\), ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(y(t) - kyz3\), ")"}]}], "-", \(\[Alpha]z3\ \(z3(t)\)\)}]}]} }, RowSpacings->1, ColumnSpacings->3, RowAlignments->Baseline, ColumnAlignments->{Left}], TableForm[ { Equal[ Derivative[ 1][ x][ t], Plus[ Times[ \[Beta]x, Plus[ 1, Times[ -1, UnitStep[ Plus[ -5, t]]]], UnitStep[ Plus[ -1, t]]], Times[ -1, \[Alpha]x, x[ t]]]], Equal[ Derivative[ 1][ y][ t], Plus[ Times[ \[Beta]y, UnitStep[ Plus[ Times[ -1, kxy], x[ t]]]], Times[ -1, \[Alpha]y, y[ t]]]], Equal[ Derivative[ 1][ z1][ t], Plus[ Times[ \[Beta]z1, UnitStep[ Plus[ Times[ -1, kz1], x[ t]]], UnitStep[ Plus[ Times[ -1, kyz1], y[ t]]]], Times[ -1, \[Alpha]z1, z1[ t]]]], Equal[ Derivative[ 1][ z2][ t], Plus[ Times[ \[Beta]z2, UnitStep[ Plus[ Times[ -1, kz2], x[ t]]], UnitStep[ Plus[ Times[ -1, kyz2], y[ t]]]], Times[ -1, \[Alpha]z2, z2[ t]]]], Equal[ Derivative[ 1][ z3][ t], Plus[ Times[ \[Beta]z3, UnitStep[ Plus[ Times[ -1, kz3], x[ t]]], UnitStep[ Plus[ Times[ -1, kyz3], y[ t]]]], Times[ -1, \[Alpha]z3, z3[ t]]]]}]], TraditionalForm]], "Output"] }, Open ]], Cell[TextData[{ StyleBox["By choosing appropriate activation thresholds, the switching-on \ of genes Z1, Z2, Z3 could be controlled by gene Y, and the switching-off \ controlled by gene X. \n\nThis could be accomplished if: ", FontSize->14, FontColor->RGBColor[0, 0, 1]], StyleBox["kz1>kz2>kz3", FontSize->14, FontColor->RGBColor[1, 0, 1]], StyleBox[", ", FontSize->14, FontColor->RGBColor[0, 0, 1]], StyleBox["kyz114, FontColor->RGBColor[1, 0, 1]], StyleBox[".", FontSize->14, FontColor->RGBColor[0, 0, 1]] }], "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(ConstantRule\ = \ {\[Beta]x \[Rule] 1, \[Beta]y \[Rule] 1, \[Beta]z1 \[Rule] 1, \[Beta]z2 \[Rule] 1, \[Beta]z3 \[Rule] 1, kz1 \[Rule] 0.7, kz2 \[Rule] 0.4, kz3\ \[Rule] 0.1, kxy \[Rule] 0.4, kyz1 \[Rule] 0.4, kyz2 \[Rule] 0.6, kyz3 \[Rule] 0.7, \[Alpha]x \[Rule] 1, \[Alpha]y \[Rule] 1, \[Alpha]z1 \[Rule] 1, \[Alpha]z2 \[Rule] 1, \[Alpha]z3 \[Rule] 1};\)\), "\[IndentingNewLine]", \(\(SIMODE /. ConstantRule // TableForm\) // TraditionalForm\)}], "Input"], Cell[BoxData[ FormBox[ InterpretationBox[GridBox[{ { RowBox[{ RowBox[{ SuperscriptBox["x", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"1", "-", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(t - 5\), ")"}]}], ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(t - 1\), ")"}]}], "-", \(x(t)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["y", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - 0.4`\), ")"}], "-", \(y(t)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["z1", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{ RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - 0.7`\), ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(y(t) - 0.4`\), ")"}]}], "-", \(z1(t)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["z2", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{ RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - 0.4`\), ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(y(t) - 0.6`\), ")"}]}], "-", \(z2(t)\)}]}]}, { RowBox[{ RowBox[{ SuperscriptBox["z3", "\[Prime]", MultilineFunction->None], "(", "t", ")"}], "\[LongEqual]", RowBox[{ RowBox[{ RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(x(t) - 0.1`\), ")"}], " ", RowBox[{ InterpretationBox["\[Theta]", UnitStep, Editable->False, Selectable->False], "(", \(y(t) - 0.7`\), ")"}]}], "-", \(z3(t)\)}]}]} }, RowSpacings->1, ColumnSpacings->3, RowAlignments->Baseline, ColumnAlignments->{Left}], TableForm[ { Equal[ Derivative[ 1][ x][ t], Plus[ Times[ Plus[ 1, Times[ -1, UnitStep[ Plus[ -5, t]]]], UnitStep[ Plus[ -1, t]]], Times[ -1, x[ t]]]], Equal[ Derivative[ 1][ y][ t], Plus[ UnitStep[ Plus[ -0.40000000000000002, x[ t]]], Times[ -1, y[ t]]]], Equal[ Derivative[ 1][ z1][ t], Plus[ Times[ UnitStep[ Plus[ -0.69999999999999996, x[ t]]], UnitStep[ Plus[ -0.40000000000000002, y[ t]]]], Times[ -1, z1[ t]]]], Equal[ Derivative[ 1][ z2][ t], Plus[ Times[ UnitStep[ Plus[ -0.40000000000000002, x[ t]]], UnitStep[ Plus[ -0.59999999999999998, y[ t]]]], Times[ -1, z2[ t]]]], Equal[ Derivative[ 1][ z3][ t], Plus[ Times[ UnitStep[ Plus[ -0.10000000000000001, x[ t]]], UnitStep[ Plus[ -0.69999999999999996, y[ t]]]], Times[ -1, z3[ t]]]]}]], TraditionalForm]], "Output"] }, Open ]], Cell[TextData[StyleBox["Now simply solve the ODE system and plot profiles for \ levels of X and Y:", FontSize->14, FontColor->RGBColor[0, 0, 1]]], "Text"], Cell[BoxData[{ \(\(VarList\ = \ Cases[SIMODE, _Symbol[_Symbol], Infinity] // Union;\)\), "\[IndentingNewLine]", \(\(ICList\ = \(#\ \[Equal] \ 0 &\) /@ VarList /. t \[Rule] 0;\)\), "\[IndentingNewLine]", \(\(SIMODE\ = SIMODE /. ConstantRule;\)\), "\[IndentingNewLine]", \(\(SIMODE2\ = Join[SIMODE, ICList];\)\)}], "Input"], Cell[BoxData[{ \(\(tEnd\ = \ 10;\)\), "\[IndentingNewLine]", \(\(SIMSOLU = NDSolve[SIMODE2, {x, y, z1, z2, z3}, {t, 0, tEnd}];\)\)}], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(SolutionPlot\ = Plot[Evaluate[x[t] /. SIMSOLU], {t, 0, tEnd}, PlotRange -> {{0, tEnd}, {0, 1}}];\)\)], "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 0.1 0 0.618034 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 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 .2 0 m .2 .00625 L s [(2)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(4)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(6)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(8)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(10)] 1 -0.0125 0 1 Mshowa .125 Mabswid .05 0 m .05 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .25 0 m .25 .00375 L s .3 0 m .3 .00375 L s .35 0 m .35 .00375 L s .45 0 m .45 .00375 L s .5 0 m .5 .00375 L s .55 0 m .55 .00375 L s .65 0 m .65 .00375 L s .7 0 m .7 .00375 L s .75 0 m .75 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .95 0 m .95 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 .00347 L .10569 .03417 L .12502 .13681 L .16575 .29781 L .18796 .36158 L .20906 .41036 L .24918 .479 L .26985 .50497 L .29188 .52732 L .31287 .54449 L .33556 .55942 L .37765 .57956 L .39861 .58683 L .42073 .59302 L .46062 .60125 L .48112 .60436 L .48702 .60515 L .49261 .60585 L .49505 .60614 L .49763 .60644 L .49898 .6066 L .49975 .60669 L .50046 .6039 L .50173 .59633 L .50309 .58828 L .52373 .47854 L .5463 .38185 L .58793 .25183 L .60854 .20493 L .63054 .16446 L .65146 .13341 L .67413 .10635 L .71614 .06987 L .73702 .0567 L .75912 .04546 L .79892 .03053 L .81936 .02489 L .8413 .01999 L .86205 .01624 L .88466 .01295 L .92643 .00853 L .94715 .00694 L .96919 .00556 L 1 .00409 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]HGAYHf4PAg9QL6QYHgool>000Bool001Goo`03003ooooo01Ooo`03003ooooo0?oo000Eool2000Iool00`00ooooo`2`ool3000jool001Goo`03003ooooo 01Soo`03003ooooo0:koo`8003goo`005Ooo00<00?ooool06?oo00<00?ooool0Zooo0`00?ooo000E ool00`00ooooo`0Hool00`00ooooo`2Yool20012ool001Goo`03003ooooo01Woo`03003ooooo0:Go o`<004Coo`005Ooo00<00?ooool06Ooo00<00?ooool0X_oo0`00Aooo000Eool00`00ooooo`0Iool0 0`00ooooo`2Pool2001:ool001Goo`03003ooooo01Woo`03003ooooo09ooo`03003ooooo04[oo`00 5Ooo0P006_oo00<00?ooool0WOoo0P00COoo000Eool00`00ooooo`0Jool00`00ooooo`2Kool00`00 ooooo`1=ool001Goo`03003ooooo01[oo`03003ooooo09[oo`03003ooooo04koo`005Ooo00<00?oo ool06_oo00<00?ooool0VOoo00<00?ooool0Cooo000Eool00`00ooooo`0Jool00`00ooooo`2Gool2 001Bool001Goo`03003ooooo01[oo`03003ooooo09Koo`03003ooooo05;oo`005Ooo00<00?ooool0 6ooo00<00?ooool0U?oo00<00?ooool0Dooo000Eool00`00ooooo`0Kool00`00ooooo`2Cool00`00 ooooo`1Dool001Goo`8001coo`03003ooooo09;oo`03003ooooo05Goo`005Ooo00<00?ooool06ooo 00<00?ooool0T?oo0P00F?oo000Eool00`00ooooo`0Kool00`00ooooo`2?ool00`00ooooo`1Hool0 01Goo`03003ooooo01_oo`03003ooooo08koo`03003ooooo05Woo`005Ooo00<00?ooool07?oo00<0 0?ooool0S?oo00<00?ooool0F_oo000Eool00`00ooooo`0Lool00`00ooooo`2;ool00`00ooooo`1K ool000;oo`8000Coo`03003ooooo00;oo`@000Coo`03003ooooo01coo`03003ooooo08[oo`03003o oooo05coo`0000Goo`00ooooo`0000Soo`03003ooooo00Goo`03003ooooo01coo`03003ooooo08[o o`03003ooooo05coo`0000Goo`00ooooo`0000Woo`03003ooooo00Coo`<001coo`03003ooooo08Wo o`03003ooooo05goo`0000Goo`00ooooo`0000[oo`03003ooooo00?oo`03003ooooo01goo`03003o oooo08Ooo`03003ooooo05koo`0000Goo`00ooooo`0000_oo`03003ooooo00;oo`03003ooooo01go o`03003ooooo08Koo`03003ooooo05ooo`0000Goo`00ooooo`0000Soo`04003ooooo0004ool00`00 ooooo`0Mool00`00ooooo`25ool00`00ooooo`1Pool000;oo`8000[oo`8000Goo`03003ooooo01go o`03003ooooo08Goo`03003ooooo063oo`005Ooo00<00?ooool07_oo00<00?ooool0Pooo00<00?oo ool0HOoo000Eool00`00ooooo`0Nool00`00ooooo`22ool00`00ooooo`1Rool001Goo`03003ooooo 01koo`03003ooooo087oo`03003ooooo06?oo`005Ooo0P007ooo00<00?ooool0POoo00<00?ooool0 Hooo000Eool00`00ooooo`0Oool00`00ooooo`1oool00`00ooooo`1Tool001Goo`03003ooooo01oo o`03003ooooo07koo`03003ooooo06Goo`005Ooo00<00?ooool07ooo00<00?ooool0O_oo00<00?oo ool0IOoo000Eool00`00ooooo`0Oool00`00ooooo`1mool00`00ooooo`1Vool001Goo`03003ooooo 023oo`03003ooooo07coo`03003ooooo06Koo`005Ooo00<00?ooool08?oo00<00?ooool0Nooo00<0 0?ooool0Iooo000Eool00`00ooooo`0Pool00`00ooooo`1kool00`00ooooo`1Wool001Goo`80027o o`03003ooooo07[oo`03003ooooo06Soo`005Ooo00<00?ooool08Ooo00<00?ooool0NOoo00<00?oo ool0J?oo000Eool00`00ooooo`0Qool00`00ooooo`1hool00`00ooooo`1Yool001Goo`03003ooooo 027oo`03003ooooo07Soo`03003ooooo06Woo`005Ooo00<00?ooool08Ooo00<00?ooool0Mooo00<0 0?ooool0J_oo000Eool00`00ooooo`0Rool00`00ooooo`1fool00`00ooooo`1Zool001Goo`03003o oooo02;oo`03003ooooo07Koo`03003ooooo06[oo`005Ooo00<00?ooool08_oo00<00?ooool0MOoo 00<00?ooool0Jooo000Eool2000Tool00`00ooooo`1dool00`00ooooo`1[ool001Goo`03003ooooo 02?oo`03003ooooo07?oo`03003ooooo06coo`005Ooo00<00?ooool08ooo00<00?ooool0Looo00<0 0?ooool0K?oo000Eool00`00ooooo`0Sool00`00ooooo`1bool00`00ooooo`1]ool001Goo`03003o oooo02Coo`03003ooooo077oo`03003ooooo06goo`005Ooo00<00?ooool09?oo00<00?ooool0L?oo 00<00?ooool0K_oo0002ool20004ool00`00ooooo`04ool00`00ooooo`03ool00`00ooooo`0Tool0 0`00ooooo`1`ool00`00ooooo`1^ool00005ool00?ooool0000:ool00`00ooooo`03ool00`00oooo o`0Tool00`00ooooo`1_ool00`00ooooo`1_ool00005ool00?ooool00007ool50004ool3000Uool0 0`00ooooo`1^ool00`00ooooo`1_ool00005ool00?ooool00007ool01000ooooo`001Ooo00<00?oo ool09Ooo00<00?ooool0KOoo00<00?ooool0L?oo00001Ooo003ooooo00002?oo00<00?oo00001Ooo 00<00?ooool09Ooo00<00?ooool0KOoo00<00?ooool0L?oo00001Ooo003ooooo00002Ooo0P001Ooo 00<00?ooool09Ooo00<00?ooool0K?oo00<00?ooool0LOoo0002ool2000;ool00`00ooooo`03ool0 0`00ooooo`0Vool00`00ooooo`1[ool00`00ooooo`1aool001Goo`03003ooooo02Koo`03003ooooo 06_oo`03003ooooo077oo`005Ooo00<00?ooool09_oo00<00?ooool0Jooo00<00?ooool0LOoo000E ool00`00ooooo`0Vool00`00ooooo`1Zool00`00ooooo`1bool001Goo`8002Soo`03003ooooo06Wo o`03003ooooo07;oo`005Ooo00<00?ooool09ooo00<00?ooool0JOoo00<00?ooool0L_oo000Eool0 0`00ooooo`0Wool00`00ooooo`1Xool00`00ooooo`1cool001Goo`03003ooooo02Ooo`03003ooooo 06Soo`03003ooooo07?oo`005Ooo00<00?ooool0:?oo00<00?ooool0Iooo00<00?ooool0Looo000E ool00`00ooooo`0Xool00`00ooooo`1Vool00`00ooooo`1dool001Goo`03003ooooo02Soo`03003o oooo06Koo`03003ooooo07Coo`005Ooo00<00?ooool0:Ooo00<00?ooool0IOoo00<00?ooool0M?oo 000Eool2000Zool00`00ooooo`1Uool00`00ooooo`1dool001Goo`03003ooooo02Woo`03003ooooo 06Coo`03003ooooo07Goo`005Ooo00<00?ooool0:_oo00<00?ooool0Hooo00<00?ooool0MOoo000E ool00`00ooooo`0Zool00`00ooooo`1Sool00`00ooooo`1eool001Goo`03003ooooo02[oo`03003o oooo06;oo`03003ooooo07Koo`005Ooo00<00?ooool0:ooo00<00?ooool0HOoo00<00?ooool0M_oo 000Eool00`00ooooo`0[ool00`00ooooo`1Qool00`00ooooo`1fool001Goo`03003ooooo02coo`03 003ooooo063oo`03003ooooo07Koo`005Ooo0P00;Ooo00<00?ooool0Gooo00<00?ooool0Mooo000E ool00`00ooooo`0/ool00`00ooooo`1Oool00`00ooooo`1gool001Goo`03003ooooo02goo`03003o oooo05koo`03003ooooo07Ooo`005Ooo00<00?ooool0;Ooo00<00?ooool0GOoo00<00?ooool0N?oo 000Eool00`00ooooo`0]ool00`00ooooo`1Mool00`00ooooo`1hool001Goo`03003ooooo02koo`03 003ooooo05coo`03003ooooo07Soo`000_oo0P001?oo00<00?ooool00ooo0P001Ooo00<00?ooool0 ;_oo00<00?ooool0Fooo00<00?ooool0NOoo00001Ooo003ooooo00002?oo00@00?ooool000Coo`03 003ooooo02koo`03003ooooo05_oo`03003ooooo07Woo`0000Goo`00ooooo`0000Soo`04003ooooo 0004ool3000_ool00`00ooooo`1Jool00`00ooooo`1iool00005ool00?ooool00008ool30005ool0 0`00ooooo`0_ool00`00ooooo`1Jool00`00ooooo`1iool00005ool00?ooool00008ool00`00oooo o`05ool00`00ooooo`0`ool00`00ooooo`1Hool00`00ooooo`1jool00005ool00?ooool00008ool0 0`00ooooo`05ool00`00ooooo`0`ool00`00ooooo`1Hool00`00ooooo`1jool000;oo`8000[oo`<0 00Coo`03003ooooo037oo`03003ooooo05Ooo`03003ooooo07[oo`005Ooo00<00?ooool0Ooo 00<00?ooool0Booo00<00?ooool0O_oo000Eool00`00ooooo`0jool00`00ooooo`1:ool00`00oooo o`1nool001Goo`03003ooooo03[oo`03003ooooo04Woo`03003ooooo07ooo`005Ooo00<00?ooool0 >ooo00<00?ooool0B?oo00<00?ooool0Oooo000Eool2000mool00`00ooooo`17ool00`00ooooo`1o ool001Goo`03003ooooo03coo`03003ooooo04Ooo`03003ooooo07ooo`005Ooo00<00?ooool0?Ooo 00<00?ooool0AOoo00<00?ooool0P?oo000Eool00`00ooooo`0mool00`00ooooo`15ool00`00oooo o`20ool001Goo`03003ooooo03koo`03003ooooo04Coo`03003ooooo083oo`005Ooo00<00?ooool0 ?ooo00<00?ooool0@ooo00<00?ooool0P?oo0002ool20004ool00`00ooooo`03ool20005ool00`00 ooooo`0oool00`00ooooo`13ool00`00ooooo`20ool00005ool00?ooool00008ool01000ooooo`00 1?oo00<00?ooool0@?oo00<00?ooool0@Ooo00<00?ooool0POoo00001Ooo003ooooo00002?oo00@0 0?ooool000Coo`<0047oo`03003ooooo043oo`03003ooooo087oo`0000Goo`00ooooo`0000Woo`80 00Goo`03003ooooo04;oo`03003ooooo03ooo`03003ooooo087oo`0000Goo`00ooooo`0000Soo`04 003ooooo0004ool00`00ooooo`12ool00`00ooooo`0oool00`00ooooo`21ool00005ool00?ooool0 0008ool01000ooooo`001?oo00<00?ooool0@ooo00<00?ooool0?_oo00<00?ooool0POoo0002ool2 000:ool20005ool00`00ooooo`14ool00`00ooooo`0lool00`00ooooo`22ool001Goo`03003ooooo 04Goo`8003coo`03003ooooo08;oo`005Ooo00<00?ooool0Aooo00<00?ooool0>Ooo00<00?ooool0 P_oo000Eool00`00ooooo`18ool00`00ooooo`0hool00`00ooooo`22ool001Goo`8004[oo`03003o oooo03Koo`03003ooooo08?oo`005Ooo00<00?ooool0B_oo00<00?ooool0=Ooo00<00?ooool0Pooo 000Eool00`00ooooo`1;ool00`00ooooo`0dool00`00ooooo`23ool001Goo`03003ooooo04coo`03 003ooooo03?oo`03003ooooo08?oo`005Ooo00<00?ooool0COoo00<00?ooool0<_oo00<00?ooool0 Pooo000Eool00`00ooooo`1>ool00`00ooooo`0`ool00`00ooooo`24ool001Goo`03003ooooo04oo o`80033oo`03003ooooo08Coo`005Ooo00<00?ooool0DOoo00<00?ooool0;Ooo00<00?ooool0Q?oo 000Eool2001Cool2000]ool00`00ooooo`24ool001Goo`03003ooooo05Coo`8002_oo`03003ooooo 08Coo`005Ooo00<00?ooool0E_oo0P00:?oo00<00?ooool0QOoo000Eool00`00ooooo`1Hool2000V ool00`00ooooo`25ool001Goo`03003ooooo05[oo`8002Coo`03003ooooo08Goo`005Ooo00<00?oo ool0G?oo0P008_oo00<00?ooool0QOoo000Eool00`00ooooo`1Nool3000Nool00`00ooooo`26ool0 01Goo`03003ooooo067oo`8001coo`03003ooooo08Koo`005Ooo0P00I?oo0`006Ooo00<00?ooool0 Q_oo000Eool00`00ooooo`1Vool3000Fool00`00ooooo`26ool001Goo`03003ooooo06Woo`@001;o o`03003ooooo08Koo`005Ooo00<00?ooool0KOoo1@003Ooo00<00?ooool0Q_oo000Eool00`00oooo o`1bool90004ool00`00ooooo`26ool001Goo`03003ooooo07_oo`D008Soo`003Ooo10001?oo00<0 0?ooool0oooo2Ooo000?ool00`00ooooo`03ool00`00ooooo`3oool9ool000ooo`03003ooooo00?o o`<00?ooo`Woo`003ooo00<00?ooool0oooo3ooo000?ool00`00ooooo`3oool?ool000goo`<00?oo oa7oo`003ooo00<00?ooool0oooo3ooo0000\ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.830159, -0.0764114, \ 0.0385797, 0.00624232}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(SolutionPlot4\ = Plot[Evaluate[y[t] /. SIMSOLU], {t, 0, tEnd}, PlotRange \[Rule] {{0, tEnd}, {0, 1}}];\)\)], "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 0.1 0 0.618034 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 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 .2 0 m .2 .00625 L s [(2)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(4)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(6)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(8)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(10)] 1 -0.0125 0 1 Mshowa .125 Mabswid .05 0 m .05 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .25 0 m .25 .00375 L s .3 0 m .3 .00375 L s .35 0 m .35 .00375 L s .45 0 m .45 .00375 L s .5 0 m .5 .00375 L s .55 0 m .55 .00375 L s .65 0 m .65 .00375 L s .7 0 m .7 .00375 L s .75 0 m .75 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .95 0 m .95 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 .0017 L .15237 .00794 L .15467 .02177 L .16468 .07857 L .18618 .18294 L .20622 .26194 L .24616 .37921 L Mistroke .26759 .42527 L .28709 .45943 L .30888 .49048 L .32901 .51373 L .36933 .54834 L .38898 .56078 L .41063 .57192 L .43271 .58106 L .45292 .58783 L .49362 .59793 L .51355 .60156 L .5353 .60478 L .55767 .60744 L .57797 .60938 L .5829 .6098 L .5856 .61002 L .58812 .61022 L .58944 .61032 L .59018 .60793 L .59085 .60385 L .59385 .58603 L .59911 .55597 L .61904 .45552 L .64076 .36658 L .66086 .29982 L .7011 .20051 L .72069 .16484 L .74231 .13278 L .76433 .10655 L .78451 .08707 L .82512 .05801 L .84498 .04756 L .86672 .03827 L .88902 .03062 L .90929 .025 L .95028 .01659 L .97041 .01357 L .99224 .01091 L 1 .01009 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]HGAYHf4PAg9QL6QYHg_oo000Eool00`00ooooo`0Xool00`00ooooo`2Pool00`00ooooo`0j ool001Goo`03003ooooo02Soo`03003ooooo09koo`8003goo`005Ooo00<00?ooool0:?oo00<00?oo ool0WOoo00<00?ooool0?Ooo000Eool00`00ooooo`0Yool00`00ooooo`2Kool00`00ooooo`0nool0 01Goo`8002[oo`03003ooooo09[oo`03003ooooo03ooo`005Ooo00<00?ooool0:Ooo00<00?ooool0 VOoo00<00?ooool0@?oo000Eool00`00ooooo`0Yool00`00ooooo`2Hool00`00ooooo`11ool001Go o`03003ooooo02Woo`03003ooooo09Ooo`03003ooooo04;oo`005Ooo00<00?ooool0:Ooo00<00?oo ool0U_oo00<00?ooool0@ooo000Eool00`00ooooo`0Zool00`00ooooo`2Dool00`00ooooo`14ool0 00;oo`8000Coo`03003ooooo00;oo`@000Coo`03003ooooo02[oo`03003ooooo09?oo`03003ooooo 04Goo`0000Goo`00ooooo`0000Soo`03003ooooo00Goo`03003ooooo02[oo`03003ooooo09?oo`03 003ooooo04Goo`0000Goo`00ooooo`0000Woo`03003ooooo00Coo`<002[oo`03003ooooo09;oo`03 003ooooo04Koo`0000Goo`00ooooo`0000[oo`03003ooooo00?oo`03003ooooo02[oo`03003ooooo 097oo`03003ooooo04Ooo`0000Goo`00ooooo`0000_oo`03003ooooo00;oo`03003ooooo02_oo`03 003ooooo08ooo`03003ooooo04Soo`0000Goo`00ooooo`0000Soo`04003ooooo0004ool00`00oooo o`0[ool00`00ooooo`2>ool00`00ooooo`19ool000;oo`8000[oo`8000Goo`03003ooooo02_oo`03 003ooooo08koo`03003ooooo04Woo`005Ooo00<00?ooool0:ooo00<00?ooool0SOoo00<00?ooool0 B_oo000Eool00`00ooooo`0[ool00`00ooooo`2=ool00`00ooooo`1:ool001Goo`03003ooooo02co o`03003ooooo08_oo`03003ooooo04_oo`005Ooo0P00;Ooo00<00?ooool0Rooo00<00?ooool0Booo 000Eool00`00ooooo`0/ool00`00ooooo`2:ool00`00ooooo`1ool001Goo`03003ooooo02go o`03003ooooo08Ooo`03003ooooo04koo`005Ooo00<00?ooool0;Ooo00<00?ooool0Q_oo00<00?oo ool0Cooo000Eool00`00ooooo`0]ool00`00ooooo`26ool00`00ooooo`1?ool001Goo`8002koo`03 003ooooo08Goo`03003ooooo053oo`005Ooo00<00?ooool0;Ooo00<00?ooool0QOoo00<00?ooool0 D?oo000Eool00`00ooooo`0^ool00`00ooooo`23ool00`00ooooo`1Aool001Goo`03003ooooo02ko o`03003ooooo08?oo`03003ooooo057oo`005Ooo00<00?ooool0;_oo00<00?ooool0P_oo00<00?oo ool0D_oo000Eool00`00ooooo`0^ool00`00ooooo`22ool00`00ooooo`1Bool001Goo`03003ooooo 02ooo`03003ooooo083oo`03003ooooo05?oo`005Ooo00<00?ooool0;ooo00<00?ooool0P?oo00<0 0?ooool0Dooo000Eool2000`ool00`00ooooo`1oool00`00ooooo`1Dool001Goo`03003ooooo02oo o`03003ooooo07ooo`03003ooooo05Coo`005Ooo00<00?ooool0?oo00<00?ooool0Jooo00<00?ooool0Gooo000E ool00`00ooooo`0iool00`00ooooo`1Zool00`00ooooo`1Oool001Goo`03003ooooo03Woo`03003o oooo06Woo`03003ooooo063oo`005Ooo0P00>_oo00<00?ooool0JOoo00<00?ooool0H?oo000Eool0 0`00ooooo`0jool00`00ooooo`1Xool00`00ooooo`1Pool001Goo`03003ooooo03[oo`03003ooooo 06Ooo`03003ooooo067oo`005Ooo00<00?ooool0>_oo00<00?ooool0Iooo00<00?ooool0HOoo000E ool00`00ooooo`0kool00`00ooooo`1Vool00`00ooooo`1Qool001Goo`03003ooooo03_oo`03003o oooo06Koo`03003ooooo067oo`000_oo0P001?oo00<00?ooool00ooo0P001Ooo00<00?ooool0??oo 00<00?ooool0I?oo00<00?ooool0H_oo00001Ooo003ooooo00002?oo00@00?ooool000Coo`03003o oooo03coo`03003ooooo06Coo`03003ooooo06;oo`0000Goo`00ooooo`0000Soo`04003ooooo0004 ool3000lool00`00ooooo`1Tool00`00ooooo`1Rool00005ool00?ooool00008ool30005ool00`00 ooooo`0mool00`00ooooo`1Rool00`00ooooo`1Sool00005ool00?ooool00008ool00`00ooooo`05 ool00`00ooooo`0mool00`00ooooo`1Rool00`00ooooo`1Sool00005ool00?ooool00008ool00`00 ooooo`05ool00`00ooooo`0mool00`00ooooo`1Rool00`00ooooo`1Sool000;oo`8000[oo`<000Co o`03003ooooo03koo`03003ooooo067oo`03003ooooo06?oo`005Ooo00<00?ooool0?_oo00<00?oo ool0H?oo00<00?ooool0I?oo000Eool00`00ooooo`0oool00`00ooooo`1Oool00`00ooooo`1Tool0 01Goo`03003ooooo03ooo`03003ooooo05ooo`03003ooooo06Coo`005Ooo0P00@Ooo00<00?ooool0 G_oo00<00?ooool0I?oo000Eool00`00ooooo`10ool00`00ooooo`1Mool00`00ooooo`1Uool001Go o`03003ooooo043oo`03003ooooo05goo`03003ooooo06Goo`005Ooo00<00?ooool0@Ooo00<00?oo ool0G?oo00<00?ooool0IOoo000Eool00`00ooooo`11ool00`00ooooo`1Lool00`00ooooo`1Uool0 01Goo`03003ooooo04;oo`03003ooooo05[oo`03003ooooo06Koo`005Ooo00<00?ooool0@_oo00<0 0?ooool0F_oo00<00?ooool0I_oo000Eool00`00ooooo`13ool00`00ooooo`1Iool00`00ooooo`1V ool001Goo`8004Coo`03003ooooo05Woo`03003ooooo06Koo`005Ooo00<00?ooool0A?oo00<00?oo ool0Eooo00<00?ooool0Iooo000Eool00`00ooooo`14ool00`00ooooo`1Gool00`00ooooo`1Wool0 01Goo`03003ooooo04Goo`03003ooooo05Koo`03003ooooo06Ooo`005Ooo00<00?ooool0AOoo00<0 0?ooool0E_oo00<00?ooool0Iooo000Eool00`00ooooo`16ool00`00ooooo`1Dool00`00ooooo`1X ool001Goo`03003ooooo04Koo`03003ooooo05Coo`03003ooooo06Soo`005Ooo00<00?ooool0Aooo 00<00?ooool0Dooo00<00?ooool0J?oo000Eool20019ool00`00ooooo`1Bool00`00ooooo`1Xool0 01Goo`03003ooooo04Woo`03003ooooo053oo`03003ooooo06Woo`005Ooo00<00?ooool0BOoo00<0 0?ooool0D?oo00<00?ooool0JOoo000Eool00`00ooooo`1:ool00`00ooooo`1?ool00`00ooooo`1Y ool001Goo`03003ooooo04_oo`03003ooooo04koo`03003ooooo06Woo`005Ooo00<00?ooool0C?oo 00<00?ooool0COoo00<00?ooool0JOoo0002ool20004ool00`00ooooo`03ool20005ool00`00oooo o`1?oo00<00?ooool0KOoo000Eool2001Q ool2000fool00`00ooooo`1]ool001Goo`03003ooooo06;oo`03003ooooo03?oo`03003ooooo06go o`005Ooo00<00?ooool0Hooo0P00"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.830159, -0.0764114, \ 0.0385797, 0.00624232}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(GraphicsArray[{Show[{SolutionPlot, SolutionPlot4}, PlotLabel \[Rule] \ "\"]}];\)\)], "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 0.1 0 0.618034 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 0 4.5 ] [.5 .63053 -11.0312 0 ] [.5 .63053 11.0312 9.8125 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(2)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(4)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(6)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(8)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(10)] 1 -0.0125 0 1 Mshowa .125 Mabswid .05 0 m .05 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .25 0 m .25 .00375 L s .3 0 m .3 .00375 L s .35 0 m .35 .00375 L s .45 0 m .45 .00375 L s .5 0 m .5 .00375 L s .55 0 m .55 .00375 L s .65 0 m .65 .00375 L s .7 0 m .7 .00375 L s .75 0 m .75 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .95 0 m .95 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s gsave .5 .63053 -72.0312 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 17.8125 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 11.250 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 0.000 0.000 rmoveto 63.000 11.250 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 (x) show 69.000 11.250 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 (,) show 75.062 11.250 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 (y) show 81.062 11.250 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 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 .00347 L .10569 .03417 L .12502 .13681 L .16575 .29781 L .18796 .36158 L .20906 .41036 L .24918 .479 L .26985 .50497 L .29188 .52732 L .31287 .54449 L .33556 .55942 L .37765 .57956 L .39861 .58683 L .42073 .59302 L .46062 .60125 L .48112 .60436 L .48702 .60515 L .49261 .60585 L .49505 .60614 L .49763 .60644 L .49898 .6066 L .49975 .60669 L .50046 .6039 L .50173 .59633 L .50309 .58828 L .52373 .47854 L .5463 .38185 L .58793 .25183 L .60854 .20493 L .63054 .16446 L .65146 .13341 L .67413 .10635 L .71614 .06987 L .73702 .0567 L .75912 .04546 L .79892 .03053 L .81936 .02489 L .8413 .01999 L .86205 .01624 L .88466 .01295 L .92643 .00853 L .94715 .00694 L .96919 .00556 L 1 .00409 L Mfstroke 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 .0017 L .15237 .00794 L .15467 .02177 L .16468 .07857 L .18618 .18294 L .20622 .26194 L .24616 .37921 L Mistroke .26759 .42527 L .28709 .45943 L .30888 .49048 L .32901 .51373 L .36933 .54834 L .38898 .56078 L .41063 .57192 L .43271 .58106 L .45292 .58783 L .49362 .59793 L .51355 .60156 L .5353 .60478 L .55767 .60744 L .57797 .60938 L .5829 .6098 L .5856 .61002 L .58812 .61022 L .58944 .61032 L .59018 .60793 L .59085 .60385 L .59385 .58603 L .59911 .55597 L .61904 .45552 L .64076 .36658 L .66086 .29982 L .7011 .20051 L .72069 .16484 L .74231 .13278 L .76433 .10655 L .78451 .08707 L .82512 .05801 L .84498 .04756 L .86672 .03827 L .88902 .03062 L .90929 .025 L .95028 .01659 L .97041 .01357 L .99224 .01091 L 1 .01009 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]HGAYHf4PAg9QL6QYHgool00`00ooooo`0[ool00`00 ool0000^ool00`00ooooo`0^ool01000ooooo`00;?oo00D00?ooooooo`0000;oo`03003ooooo00So o`00Booo00@00?ooool002koo`8002koo`03003ooooo02koo`04003ooooo000Zool30003ool01000 ooooo`002_oo001ool001coo`03003ooooo01Koo`03003ooooo00Woo`03003ooooo 0:ooo`L000koo`D001?oo`007?oo00<00?ooool05_oo00<00?ooool02_oo00<00?ooool0Z?oo1P00 4?oo1@006?oo000Lool00`00ooooo`0Fool00`00ooooo`0:ool00`00ooooo`2Sool5000Aool5000M ool001coo`03003ooooo01Ooo`03003ooooo00Woo`03003ooooo09koo`D0017oo`D002;oo`007?oo 0P006?oo00<00?ooool02Ooo00<00?ooool0V_oo10004_oo10009ooo000Lool00`00ooooo`0Gool0 0`00ooooo`09ool00`00ooooo`2Hool2000Dool2000[ool001coo`03003ooooo01Ooo`03003ooooo 00[oo`03003ooooo09Coo`<001?oo`<002goo`007?oo00<00?ooool05ooo00<00?ooool02_oo00<0 0?ooool0T_oo0P004ooo0`00ooo000Lool00`00 ooooo`0Hool00`00ooooo`0:ool00`00ooooo`25ool00`00ooooo`0Cool00`00ooooo`0kool001co o`03003ooooo01Woo`03003ooooo00Woo`03003ooooo08Coo`03003ooooo01?oo`03003ooooo03co o`007?oo00<00?ooool06Ooo00<00?ooool02Ooo00<00?ooool0P_oo0P005?oo0P00?ooo000Lool0 0`00ooooo`0Iool00`00ooooo`09ool00`00ooooo`21ool00`00ooooo`0Cool00`00ooooo`0oool0 01coo`03003ooooo01Woo`03003ooooo00Woo`03003ooooo083oo`03003ooooo01?oo`03003ooooo 043oo`007?oo0P006_oo00<00?ooool02_oo00<00?ooool0O_oo00<00?ooool04ooo00<00?ooool0 @Ooo000Lool00`00ooooo`0Iool00`00ooooo`0:ool00`00ooooo`1mool00`00ooooo`0Cool00`00 ooooo`12ool001coo`03003ooooo01[oo`03003ooooo00Woo`03003ooooo07_oo`8001Goo`03003o oooo04?oo`007?oo00<00?ooool06_oo00<00?ooool02Ooo00<00?ooool0N_oo00<00?ooool05?oo 00<00?ooool0A?oo000Lool00`00ooooo`0Jool00`00ooooo`09ool00`00ooooo`1iool00`00oooo o`0Dool00`00ooooo`15ool001coo`03003ooooo01[oo`03003ooooo00[oo`03003ooooo07Ooo`03 003ooooo01Coo`03003ooooo04Koo`002Ooo0P001?oo00<00?ooool00_oo10001?oo00<00?ooool0 6_oo00<00?ooool02_oo00<00?ooool0M_oo00<00?ooool05?oo00<00?ooool0Aooo0008ool01000 ooooo`002?oo00<00?ooool01Ooo00<00?ooool06_oo00<00?ooool02_oo00<00?ooool0M_oo00<0 0?ooool04ooo00<00?ooool0B?oo0008ool01000ooooo`002Ooo00<00?ooool01?oo0P007?oo00<0 0?ooool02Ooo00<00?ooool0MOoo00<00?ooool04ooo00<00?ooool0BOoo0008ool01000ooooo`00 2_oo00<00?ooool00ooo00<00?ooool06ooo00<00?ooool02Ooo00<00?ooool0M?oo00<00?ooool0 4ooo00<00?ooool0B_oo0008ool01000ooooo`002ooo00<00?ooool00_oo00<00?ooool06ooo00<0 0?ooool02_oo00<00?ooool0L_oo00<00?ooool04ooo00<00?ooool0Booo0008ool01000ooooo`00 2?oo00@00?ooool000Coo`03003ooooo01_oo`03003ooooo00[oo`03003ooooo077oo`03003ooooo 01?oo`03003ooooo04coo`002Ooo0P002_oo0P001Ooo00<00?ooool06ooo00<00?ooool02_oo00<0 0?ooool0LOoo00<00?ooool04ooo00<00?ooool0C?oo000Lool00`00ooooo`0Lool00`00ooooo`09 ool00`00ooooo`1`ool00`00ooooo`0Cool00`00ooooo`1=ool001coo`03003ooooo01coo`03003o oooo00Woo`03003ooooo073oo`03003ooooo01?oo`03003ooooo04goo`007?oo00<00?ooool07?oo 00<00?ooool02Ooo00<00?ooool0Kooo00<00?ooool04ooo00<00?ooool0C_oo000Lool2000Mool0 0`00ooooo`0:ool00`00ooooo`1]ool00`00ooooo`0Cool00`00ooooo`1?ool001coo`03003ooooo 01goo`03003ooooo00Woo`03003ooooo06goo`03003ooooo01?oo`03003ooooo04ooo`007?oo00<0 0?ooool07Ooo00<00?ooool02Ooo00<00?ooool0K?oo00<00?ooool04ooo00<00?ooool0D?oo000L ool00`00ooooo`0Mool00`00ooooo`09ool00`00ooooo`1[ool00`00ooooo`0Cool00`00ooooo`1A ool001coo`03003ooooo01goo`03003ooooo00Woo`03003ooooo06_oo`03003ooooo01?oo`03003o oooo057oo`007?oo00<00?ooool07_oo00<00?ooool02Ooo00<00?ooool0JOoo00<00?ooool04ooo 00<00?ooool0D_oo000Lool00`00ooooo`0Nool00`00ooooo`09ool00`00ooooo`1Yool00`00oooo o`0Cool00`00ooooo`1Bool001coo`8001ooo`03003ooooo00Woo`03003ooooo06Soo`03003ooooo 01?oo`03003ooooo05?oo`007?oo00<00?ooool07_oo00<00?ooool02Ooo00<00?ooool0Iooo00<0 0?ooool05?oo00<00?ooool0Dooo000Lool00`00ooooo`0Oool00`00ooooo`09ool00`00ooooo`1V ool00`00ooooo`0Cool00`00ooooo`1Dool001coo`03003ooooo01ooo`03003ooooo00Woo`03003o oooo06Goo`03003ooooo01Coo`03003ooooo05Coo`007?oo00<00?ooool07ooo00<00?ooool02Ooo 00<00?ooool0IOoo00<00?ooool04ooo00<00?ooool0EOoo000Lool00`00ooooo`0Oool00`00oooo o`09ool00`00ooooo`1Tool00`00ooooo`0Dool00`00ooooo`1Eool001coo`03003ooooo023oo`03 003ooooo00Woo`03003ooooo06?oo`03003ooooo01?oo`03003ooooo05Koo`007?oo00<00?ooool0 8?oo00<00?ooool02Ooo00<00?ooool0H_oo00<00?ooool05?oo00<00?ooool0E_oo000Lool2000Q ool00`00ooooo`09ool00`00ooooo`1Rool00`00ooooo`0Cool00`00ooooo`1Gool001coo`03003o oooo023oo`03003ooooo00Woo`03003ooooo067oo`03003ooooo01Coo`03003ooooo05Ooo`007?oo 00<00?ooool08Ooo00<00?ooool02Ooo00<00?ooool0H?oo00<00?ooool05?oo00<00?ooool0Eooo 000Lool00`00ooooo`0Qool00`00ooooo`09ool00`00ooooo`1Pool00`00ooooo`0Cool00`00oooo o`1Hool001coo`03003ooooo027oo`03003ooooo00Woo`03003ooooo05ooo`03003ooooo01Coo`03 003ooooo05Soo`002Ooo0P001?oo00<00?ooool01?oo00<00?ooool00ooo00<00?ooool08Ooo00<0 0?ooool02Ooo00<00?ooool0Gooo00<00?ooool04ooo00<00?ooool0FOoo0008ool01000ooooo`00 2_oo00<00?ooool00ooo00<00?ooool08_oo00<00?ooool02Ooo00<00?ooool0GOoo00<00?ooool0 5?oo00<00?ooool0FOoo0008ool01000ooooo`001ooo1@001?oo0P008ooo00<00?ooool02Ooo00<0 0?ooool0GOoo00<00?ooool04ooo00<00?ooool0F_oo0008ool01000ooooo`001ooo00@00?ooool0 00Goo`03003ooooo02;oo`03003ooooo00Woo`03003ooooo05coo`03003ooooo01Coo`03003ooooo 05[oo`002?oo00@00?ooool000Soo`03003oo`0000Goo`03003ooooo02;oo`03003ooooo00Woo`03 003ooooo05coo`03003ooooo01Coo`03003ooooo05[oo`002?oo00@00?ooool000Woo`8000Goo`03 003ooooo02?oo`03003ooooo00Woo`03003ooooo05_oo`03003ooooo01?oo`03003ooooo05_oo`00 2Ooo0P002ooo00<00?ooool00ooo00<00?ooool08ooo00<00?ooool02Ooo00<00?ooool0F_oo00<0 0?ooool05?oo00<00?ooool0Fooo000Lool00`00ooooo`0Sool00`00ooooo`09ool00`00ooooo`1J ool00`00ooooo`0Cool00`00ooooo`1Lool001coo`03003ooooo02?oo`03003ooooo00[oo`03003o oooo05Woo`03003ooooo01?oo`03003ooooo05coo`007?oo00<00?ooool09?oo00<00?ooool02Ooo 00<00?ooool0F?oo00<00?ooool05?oo00<00?ooool0G?oo000Lool2000Uool00`00ooooo`09ool0 0`00ooooo`1Hool00`00ooooo`0Cool00`00ooooo`1Mool001coo`03003ooooo02Coo`03003ooooo 00[oo`03003ooooo05Ooo`03003ooooo01?oo`03003ooooo05goo`007?oo00<00?ooool09?oo00<0 0?ooool02_oo00<00?ooool0Eooo00<00?ooool04_oo00<00?ooool0G_oo000Lool00`00ooooo`0U ool00`00ooooo`09ool00`00ooooo`1Fool00`00ooooo`0Cool00`00ooooo`1Nool001coo`03003o oooo02Goo`03003ooooo00[oo`03003ooooo05Goo`03003ooooo01;oo`03003ooooo05ooo`007?oo 00<00?ooool09Ooo00<00?ooool02_oo00<00?ooool0EOoo00<00?ooool04_oo00<00?ooool0Gooo 000Lool00`00ooooo`0Uool00`00ooooo`0:ool00`00ooooo`1Dool00`00ooooo`0Cool00`00oooo o`1Oool001coo`03003ooooo02Koo`03003ooooo00[oo`03003ooooo05?oo`03003ooooo01;oo`03 003ooooo063oo`007?oo0P009ooo00<00?ooool02_oo00<00?ooool0Dooo00<00?ooool04_oo00<0 0?ooool0H?oo000Lool00`00ooooo`0Wool00`00ooooo`09ool00`00ooooo`1Bool00`00ooooo`0C ool00`00ooooo`1Pool001coo`03003ooooo02Ooo`03003ooooo00[oo`03003ooooo057oo`03003o oooo01?oo`03003ooooo063oo`007?oo00<00?ooool09ooo00<00?ooool02_oo00<00?ooool0DOoo 00<00?ooool04_oo00<00?ooool0HOoo000Lool00`00ooooo`0Xool00`00ooooo`0:ool00`00oooo o`1?ool00`00ooooo`0Cool00`00ooooo`1Qool001coo`03003ooooo02Soo`03003ooooo00[oo`03 003ooooo04ooo`03003ooooo01?oo`03003ooooo067oo`007?oo00<00?ooool0:?oo00<00?ooool0 2_oo00<00?ooool0Cooo00<00?ooool04_oo00<00?ooool0H_oo000Lool2000Zool00`00ooooo`0: ool00`00ooooo`1=ool00`00ooooo`0Cool00`00ooooo`1Rool001coo`03003ooooo02Woo`03003o oooo00[oo`03003ooooo04goo`03003ooooo01?oo`03003ooooo06;oo`007?oo00<00?ooool0:_oo 00<00?ooool02Ooo00<00?ooool0COoo00<00?ooool04_oo00<00?ooool0Hooo000Lool00`00oooo o`0Zool00`00ooooo`0:ool00`00ooooo`1ooo00<00?ooool04ooo 00<00?ooool0JOoo000Lool00`00ooooo`0fool00`00ooooo`09ool00`00ooooo`0jool00`00oooo o`0Cool00`00ooooo`1Yool001coo`03003ooooo03Ooo`03003ooooo00Soo`03003ooooo03Woo`03 003ooooo01Coo`03003ooooo06Woo`007?oo00<00?ooool0>?oo00<00?ooool02?oo00<00?ooool0 >?oo00<00?ooool05?oo00<00?ooool0JOoo000Lool2000iool00`00ooooo`09ool00`00ooooo`0g ool00`00ooooo`0Dool00`00ooooo`1Yool001coo`03003ooooo03Woo`03003ooooo00Woo`03003o oooo03Koo`03003ooooo01?oo`03003ooooo06[oo`007?oo00<00?ooool0>Ooo00<00?ooool02_oo 00<00?ooool0=?oo00<00?ooool05?oo00<00?ooool0J_oo000Lool00`00ooooo`0jool00`00oooo o`09ool00`00ooooo`0dool00`00ooooo`0Dool00`00ooooo`1Zool001coo`03003ooooo03_oo`03 003ooooo00Woo`03003ooooo03?oo`03003ooooo01Coo`03003ooooo06[oo`002Ooo0P001?oo00<0 0?ooool00ooo0P001Ooo00<00?ooool0>ooo00<00?ooool02_oo00<00?ooool0<_oo00<00?ooool0 5?oo00<00?ooool0J_oo0008ool01000ooooo`002?oo00@00?ooool000Coo`03003ooooo03coo`03 003ooooo00[oo`03003ooooo033oo`03003ooooo01Coo`03003ooooo06_oo`002?oo00@00?ooool0 00Soo`04003ooooo0004ool2000nool00`00ooooo`0:ool00`00ooooo`0_ool00`00ooooo`0Dool0 0`00ooooo`1[ool000Soo`04003ooooo0009ool20005ool00`00ooooo`0nool00`00ooooo`09ool0 0`00ooooo`0_ool00`00ooooo`0Dool00`00ooooo`1[ool000Soo`04003ooooo0008ool01000oooo o`001?oo00<00?ooool0?_oo00<00?ooool02_oo00<00?ooool0;_oo00<00?ooool05?oo00<00?oo ool0Jooo0008ool01000ooooo`002?oo00@00?ooool000Coo`03003ooooo03ooo`03003ooooo00[o o`03003ooooo02goo`03003ooooo01Coo`03003ooooo06_oo`002Ooo0P002_oo0P001Ooo00<00?oo ool0@?oo00<00?ooool02Ooo00<00?ooool0;Ooo00<00?ooool04ooo00<00?ooool0K?oo000Lool0 0`00ooooo`11ool00`00ooooo`09ool00`00ooooo`0[ool00`00ooooo`0Dool00`00ooooo`1/ool0 01coo`03003ooooo04;oo`03003ooooo00Woo`03003ooooo02[oo`03003ooooo01Coo`03003ooooo 06coo`007?oo00<00?ooool0@ooo00<00?ooool02Ooo0P00:_oo00<00?ooool05?oo00<00?ooool0 K?oo000Lool20015ool00`00ooooo`0:ool00`00ooooo`0Wool00`00ooooo`0Cool00`00ooooo`1] ool001coo`03003ooooo04Goo`03003ooooo00[oo`03003ooooo02Koo`03003ooooo01?oo`03003o oooo06goo`007?oo00<00?ooool0A_oo0P002ooo00<00?ooool09?oo00<00?ooool05?oo00<00?oo ool0KOoo000Lool00`00ooooo`18ool00`00ooooo`09ool2000Tool00`00ooooo`0Dool00`00oooo o`1]ool001coo`03003ooooo04Woo`03003ooooo00[oo`03003ooooo027oo`03003ooooo01Coo`03 003ooooo06goo`007?oo00<00?ooool0B_oo00<00?ooool02_oo00<00?ooool08?oo00<00?ooool0 4ooo00<00?ooool0K_oo000Lool00`00ooooo`1;ool2000;ool00`00ooooo`0Oool00`00ooooo`0C ool00`00ooooo`1^ool001coo`8004koo`8000[oo`8001koo`03003ooooo01Coo`03003ooooo06ko o`007?oo00<00?ooool0Cooo0P002_oo00<00?ooool06ooo00<00?ooool05?oo00<00?ooool0K_oo 000Lool00`00ooooo`1Aool20009ool2000Kool00`00ooooo`0Dool00`00ooooo`1^ool001coo`03 003ooooo05?oo`8000Woo`<001Soo`03003ooooo01Coo`03003ooooo06koo`007?oo00<00?ooool0 EOoo0P002_oo0P005_oo00<00?ooool05?oo00<00?ooool0K_oo000Lool00`00ooooo`1Gool2000: ool2000Dool00`00ooooo`0Cool00`00ooooo`1_ool001coo`03003ooooo05Woo`8000[oo`80017o o`03003ooooo01Coo`03003ooooo06ooo`007?oo00<00?ooool0Fooo0`002Ooo0`003_oo00<00?oo ool05?oo00<00?ooool0Kooo000Lool2001Oool40008ool4000:ool00`00ooooo`0Dool00`00oooo o`1_ool001coo`03003ooooo06;oo`D000Ooo`@000Koo`03003ooooo01Coo`03003ooooo06ooo`00 7?oo00<00?ooool0Iooo1@001_oo0`000ooo00<00?ooool05?oo00<00?ooool0Kooo000Lool00`00 ooooo`1/ool50004ool4000Eool00`00ooooo`1`ool001coo`03003ooooo077oo`D000;oo``000[o o`03003ooooo073oo`007?oo00<00?ooool0M_oo0P003?oo20000_oo00<00?ooool0L?oo000Dool4 0004ool00`00ooooo`2ool200000ooo00000007ool200000ooo00000021 ool00?ooob7oo`00oooo8Ooo0000\ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-1.14212, -0.0794502, \ 0.0406663, 0.00657995}}] }, Open ]], Cell[TextData[StyleBox["Plotting Z1 to Z3 shows First-In First-Out order is \ obtained, as desired.", FontSize->14, FontColor->RGBColor[0, 0, 1]]], "Text"], Cell[CellGroupData[{ Cell[BoxData[{ \(\(SolutionPlot1\ = Plot[Evaluate[z1[t] /. SIMSOLU], {t, 0, tEnd}, PlotRange \[Rule] {{0, tEnd}, {0, 1}}, \ PlotStyle \[Rule] \ {Hue[0]}];\)\), "\[IndentingNewLine]", \(\(SolutionPlot2\ = Plot[Evaluate[z2[t] /. SIMSOLU], {t, 0, tEnd}, PlotRange -> {{0, tEnd}, {0, 1}}, \ PlotStyle \[Rule] \ {Hue[0.2]}];\)\), "\[IndentingNewLine]", \(\(SolutionPlot3\ = Plot[Evaluate[z3[t] /. SIMSOLU], {t, 0, tEnd}, PlotRange \[Rule] {{0, tEnd}, {0, 1}}, \ PlotStyle \[Rule] \ {Hue[0.5]}];\)\)}], "Input"], Cell[CellGroupData[{ 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 0.1 0 0.618034 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 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 .2 0 m .2 .00625 L s [(2)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(4)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(6)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(8)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(10)] 1 -0.0125 0 1 Mshowa .125 Mabswid .05 0 m .05 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .25 0 m .25 .00375 L s .3 0 m .3 .00375 L s .35 0 m .35 .00375 L s .45 0 m .45 .00375 L s .5 0 m .5 .00375 L s .55 0 m .55 .00375 L s .65 0 m .65 .00375 L s .7 0 m .7 .00375 L s .75 0 m .75 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .95 0 m .95 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 0 0 r .5 Mabswid 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 0 L .15237 0 L .15349 0 L .15467 0 L .15586 0 L .15714 0 L .15835 0 L Mistroke .15945 0 L .16074 0 L .16146 0 L .16214 0 L .16337 0 L .16468 0 L .16594 0 L .16732 0 L .16863 0 L .16984 0 L .17103 0 L .17212 0 L .17337 0 L .17456 0 L .17585 0 L .17721 0 L .17838 0 L .17966 0 L .18104 0 L .18181 0 L .18251 0 L .18388 0 L .18518 0 L .18628 0 L .1875 0 L .18877 0 L .18996 0 L .19107 0 L .19209 0 L .19321 0 L .19438 0 L .19558 0 L .19686 0 L .19807 0 L .19916 0 L .20045 0 L .20118 0 L .20185 0 L .20309 0 L .20439 0 L .20566 0 L .20705 0 L .20835 0 L .20957 0 L .21077 0 L .21186 0 L .21311 0 L .2143 0 L .21559 0 L .21696 0 L Mistroke .21813 0 L .21941 0 L .22079 .00243 L .22157 .00718 L .22227 .01147 L .22494 .02743 L .24416 .13073 L .26593 .22604 L .28604 .29747 L .32633 .40377 L .34596 .44195 L .3676 .47622 L .38966 .50429 L .40986 .52509 L .45052 .55615 L .47042 .56731 L .49217 .57723 L .51279 .58483 L .51873 .58675 L .52433 .58845 L .52935 .5899 L .53073 .59028 L .53219 .59069 L .53343 .59102 L .5348 .58537 L .55696 .46899 L .5772 .38308 L .618 .25472 L .63801 .20854 L .6598 .16772 L .68012 .13688 L .70257 .10935 L .74375 .07244 L .76403 .05914 L .78592 .04751 L .80651 .03867 L .82907 .03086 L .87063 .02037 L .89118 .01658 L .91317 .01331 L .93404 .0108 L .9567 .00861 L .99863 .00566 L 1 .00559 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]HGAYHf4PAg9QL6QYHg?oo00?h0?oo ool0T_oo0oP0>?oo000Eool00`00ooooo`0hool00oP0ooooo`2@ool2n00kool001Goo`03003ooooo 03Soo`03n03ooooo08goo`?h03goo`005Ooo00<00?ooool0>?oo00?h0?ooool0Rooo0_P0@?oo000E ool00`00ooooo`0hool00oP0ooooo`29ool2n012ool001Goo`03003ooooo03Soo`03n03ooooo08So o`03n03ooooo04;oo`005Ooo0P00>_oo00?h0?ooool0Q_oo00?h0?ooool0@ooo000Eool00`00oooo o`0iool00oP0ooooo`24ool2n016ool001Goo`03003ooooo03Woo`03n03ooooo08?oo`03n03ooooo 04Koo`005Ooo00<00?ooool0>Ooo00?h0?ooool0P_oo00?h0?ooool0Aooo000Eool00`00ooooo`0i ool00oP0ooooo`21ool00oP0ooooo`18ool001Goo`03003ooooo03[oo`03n03ooooo07koo`;h04_o o`005Ooo00<00?ooool0>_oo00?h0?ooool0OOoo00?h0?ooool0Booo000Eool00`00ooooo`0jool0 0oP0ooooo`1lool00oP0ooooo`1_oo00?h0?ooool0N_oo00?h0?ooool0C_oo000Eool00`00ooooo`0kool00oP0 ooooo`1gool2n01Aool001Goo`03003ooooo03_oo`03n03ooooo07Koo`03n03ooooo057oo`005Ooo 00<00?ooool0>ooo00?h0?ooool0MOoo00?h0?ooool0D_oo000Eool00`00ooooo`0kool00oP0oooo o`1dool00oP0ooooo`1Cool000;oo`8000Coo`03003ooooo00;oo`@000Coo`03003ooooo03_oo`03 n03ooooo07?oo`03n03ooooo05Coo`0000Goo`00ooooo`0000Soo`03003ooooo00Goo`03003ooooo 03_oo`03n03ooooo07;oo`03n03ooooo05Goo`0000Goo`00ooooo`0000Woo`03003ooooo00Coo`<0 03coo`03n03ooooo077oo`03n03ooooo05Goo`0000Goo`00ooooo`0000[oo`03003ooooo00?oo`03 003ooooo03coo`03n03ooooo073oo`03n03ooooo05Koo`0000Goo`00ooooo`0000_oo`03003ooooo 00;oo`03003ooooo03coo`03n03ooooo06ooo`03n03ooooo05Ooo`0000Goo`00ooooo`0000Soo`04 003ooooo0004ool00`00ooooo`0lool00oP0ooooo`1^ool00oP0ooooo`1Hool000;oo`8000[oo`80 00Goo`03003ooooo03goo`03n03ooooo06coo`03n03ooooo05Woo`005Ooo00<00?ooool0?Ooo00?h 0?ooool0K?oo00?h0?ooool0FOoo000Eool00`00ooooo`0mool00oP0ooooo`1[ool00oP0ooooo`1J ool001Goo`03003ooooo03goo`03n03ooooo06_oo`03n03ooooo05[oo`005Ooo0P00?ooo00?h0?oo ool0JOoo00?h0?ooool0Fooo000Eool00`00ooooo`0nool00oP0ooooo`1Xool00oP0ooooo`1Lool0 01Goo`03003ooooo03koo`03n03ooooo06Soo`03n03ooooo05coo`005Ooo00<00?ooool0?_oo00?h 0?ooool0Iooo00?h0?ooool0GOoo000Eool00`00ooooo`0oool00oP0ooooo`1Uool00oP0ooooo`1N ool001Goo`03003ooooo03ooo`03n03ooooo06Goo`03n03ooooo05koo`005Ooo00<00?ooool0?ooo 00?h0?ooool0I?oo00?h0?ooool0Gooo000Eool00`00ooooo`0oool00oP0ooooo`1Tool00oP0oooo o`1Oool001Goo`80047oo`03n03ooooo06;oo`03n03ooooo063oo`005Ooo00<00?ooool0@?oo00?h 0?ooool0H_oo00?h0?ooool0H?oo000Eool00`00ooooo`10ool00oP0ooooo`1Qool00oP0ooooo`1Q ool001Goo`03003ooooo043oo`03n03ooooo067oo`03n03ooooo067oo`005Ooo00<00?ooool0@Ooo 00?h0?ooool0Gooo00?h0?ooool0H_oo000Eool00`00ooooo`11ool00oP0ooooo`1Oool00oP0oooo o`1Rool001Goo`03003ooooo047oo`03n03ooooo05koo`03n03ooooo06?oo`005Ooo00<00?ooool0 @Ooo00?h0?ooool0G_oo00?h0?ooool0Hooo000Eool20013ool00oP0ooooo`1Lool00oP0ooooo`1T ool001Goo`03003ooooo04;oo`03n03ooooo05coo`03n03ooooo06Coo`005Ooo00<00?ooool0@_oo 00?h0?ooool0Fooo00?h0?ooool0IOoo000Eool00`00ooooo`12ool00oP0ooooo`1Kool00oP0oooo o`1Uool001Goo`03003ooooo04?oo`03n03ooooo05[oo`03n03ooooo06Goo`005Ooo00<00?ooool0 @ooo00?h0?ooool0FOoo00?h0?ooool0I_oo0002ool20004ool00`00ooooo`04ool00`00ooooo`03 ool00`00ooooo`13ool00oP0ooooo`1Iool00oP0ooooo`1Vool00005ool00?ooool0000:ool00`00 ooooo`03ool00`00ooooo`13ool00oP0ooooo`1Hool00oP0ooooo`1Wool00005ool00?ooool00007 ool50004ool30014ool00oP0ooooo`1Gool00oP0ooooo`1Wool00005ool00?ooool00007ool01000 ooooo`001Ooo00<00?ooool0A?oo00?h0?ooool0E_oo00?h0?ooool0J?oo00001Ooo003ooooo0000 2?oo00<00?oo00001Ooo00<00?ooool0A?oo00?h0?ooool0E_oo00?h0?ooool0J?oo00001Ooo003o oooo00002Ooo0P001Ooo00<00?ooool0A?oo00?h0?ooool0E_oo00?h0?ooool0J?oo0002ool2000; ool00`00ooooo`03ool00`00ooooo`15ool00oP0ooooo`1Dool00oP0ooooo`1Yool001Goo`03003o oooo04Goo`03n03ooooo05Coo`03n03ooooo06Woo`005Ooo00<00?ooool0AOoo00?h0?ooool0E?oo 00?h0?ooool0JOoo000Eool00`00ooooo`15ool00oP0ooooo`1Cool00oP0ooooo`1Zool001Goo`80 04Ooo`03n03ooooo05;oo`03n03ooooo06[oo`005Ooo00<00?ooool0A_oo00?h0?ooool0D_oo00?h 0?ooool0J_oo000Eool00`00ooooo`16ool00oP0ooooo`1Bool00oP0ooooo`1Zool001Goo`03003o oooo04Koo`03n03ooooo057oo`03n03ooooo06_oo`005Ooo00<00?ooool0Aooo00?h0?ooool0D?oo 00?h0?ooool0Jooo000Eool00`00ooooo`17ool00oP0ooooo`1@ool00oP0ooooo`1[ool001Goo`03 003ooooo04Ooo`03n03ooooo04ooo`03n03ooooo06coo`005Ooo00<00?ooool0B?oo00?h0?ooool0 C_oo00?h0?ooool0K?oo000Eool20019ool00oP0ooooo`1>ool00oP0ooooo`1/ool001Goo`03003o oooo04Woo`03n03ooooo04coo`03n03ooooo06goo`005Ooo00<00?ooool0BOoo00?h0?ooool0C?oo 00?h0?ooool0KOoo000Eool00`00ooooo`19ool00oP0ooooo`1_oo00?h0?ooool0M?oo000Eool00`00ooooo`1Dool00oP0oooo o`0jool00oP0ooooo`1dool001Goo`03003ooooo05Goo`03n03ooooo03Soo`03n03ooooo07Goo`00 5Ooo00<00?ooool0EOoo00?h0?ooool0>?oo00?h0?ooool0MOoo000Eool00`00ooooo`1Fool00oP0 ooooo`0gool00oP0ooooo`1eool001Goo`8005Ooo`03n03ooooo03Koo`03n03ooooo07Koo`005Ooo 00<00?ooool0Eooo00?h0?ooool0=Ooo00?h0?ooool0M_oo000Eool00`00ooooo`1Gool00oP0oooo o`0eool00oP0ooooo`1fool001Goo`03003ooooo05Soo`03n03ooooo03Coo`03n03ooooo07Koo`00 5Ooo00<00?ooool0F?oo00?h0?ooool0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.830159, -0.0764114, \ 0.0385797, 0.00624232}}], 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 0.1 0 0.618034 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 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 .2 0 m .2 .00625 L s [(2)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(4)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(6)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(8)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(10)] 1 -0.0125 0 1 Mshowa .125 Mabswid .05 0 m .05 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .25 0 m .25 .00375 L s .3 0 m .3 .00375 L s .35 0 m .35 .00375 L s .45 0 m .45 .00375 L s .5 0 m .5 .00375 L s .55 0 m .55 .00375 L s .65 0 m .65 .00375 L s .7 0 m .7 .00375 L s .75 0 m .75 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .95 0 m .95 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .8 1 0 r .5 Mabswid 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 0 L .15237 0 L .15349 0 L .15467 0 L .15586 0 L .15714 0 L .15835 0 L Mistroke .15945 0 L .16074 0 L .16146 0 L .16214 0 L .16337 0 L .16468 0 L .16594 0 L .16732 0 L .16863 0 L .16984 0 L .17103 0 L .17212 0 L .17337 0 L .17456 0 L .17585 0 L .17721 0 L .17838 0 L .17966 0 L .18104 0 L .18181 0 L .18251 0 L .18388 0 L .18518 0 L .18628 0 L .1875 0 L .18877 0 L .18996 0 L .19107 0 L .19209 0 L .19321 0 L .19438 0 L .19558 0 L .19686 0 L .19807 0 L .19916 0 L .20045 0 L .20118 0 L .20185 0 L .20309 0 L .20439 0 L .20566 0 L .20705 0 L .20835 0 L .20957 0 L .21077 0 L .21186 0 L .21311 0 L .2143 0 L .21559 0 L .21696 0 L Mistroke .21813 0 L .21941 0 L .22079 0 L .22157 0 L .22227 0 L .22364 0 L .22494 0 L .22604 0 L .22726 0 L .22853 0 L .22973 0 L .23084 0 L .23186 0 L .23297 0 L .23415 0 L .23535 0 L .23663 0 L .23784 0 L .23893 0 L .24023 0 L .24095 0 L .24163 0 L .24286 .00091 L .24416 .0089 L .28399 .209 L .30444 .28465 L .32638 .35035 L .34715 .40055 L .36977 .44457 L .41156 .50382 L .43229 .5252 L .45433 .54357 L .49392 .56791 L .5142 .57711 L .53609 .58516 L .55669 .59128 L .56758 .59404 L .57358 .59544 L .57924 .59668 L .58464 .5978 L .58612 .5981 L .58769 .59841 L .58903 .59867 L .58979 .59873 L .59051 .59448 L .60076 .53656 L .6208 .43912 L .66152 .29224 L .68371 .23407 L .70481 .18955 L Mistroke .74492 .12692 L .76558 .10323 L .78761 .08282 L .80859 .06715 L .83128 .05352 L .87335 .03514 L .8943 .0285 L .91642 .02284 L .95629 .01533 L .97678 .01249 L .99875 .01003 L 1 .0099 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]HGAYHf4PAg9QL6QYHgOoo000Eool00`00ooooo`10ool00loPooooo`27ool2cn0l ool001Goo`03003ooooo043oo`03cn3ooooo08Koo`03cn3ooooo03coo`005Ooo00<00?ooool0@?oo 00??h?ooool0QOoo00??h?ooool0?Ooo000Eool00`00ooooo`10ool00loPooooo`24ool00loPoooo o`0nool001Goo`8004;oo`03cn3ooooo08;oo`03cn3ooooo03ooo`005Ooo00<00?ooool0@Ooo00?? h?ooool0POoo00??h?ooool0@?oo000Eool00`00ooooo`11ool00loPooooo`20ool00loPooooo`11 ool001Goo`03003ooooo047oo`03cn3ooooo07ooo`03cn3ooooo04;oo`005Ooo00<00?ooool0@_oo 00??h?ooool0OOoo00??h?ooool0@ooo000Eool00`00ooooo`12ool00loPooooo`1lool00loPoooo o`14ool000;oo`8000Coo`03003ooooo00;oo`@000Coo`03003ooooo04;oo`03cn3ooooo07coo`03 cn3ooooo04Coo`0000Goo`00ooooo`0000Soo`03003ooooo00Goo`03003ooooo04;oo`03cn3ooooo 07_oo`03cn3ooooo04Goo`0000Goo`00ooooo`0000Woo`03003ooooo00Coo`<004;oo`03cn3ooooo 07[oo`03cn3ooooo04Koo`0000Goo`00ooooo`0000[oo`03003ooooo00?oo`03003ooooo04?oo`03 cn3ooooo07Soo`03cn3ooooo04Ooo`0000Goo`00ooooo`0000_oo`03003ooooo00;oo`03003ooooo 04?oo`03cn3ooooo07Ooo`03cn3ooooo04Soo`0000Goo`00ooooo`0000Soo`04003ooooo0004ool0 0`00ooooo`13ool00loPooooo`1gool00loPooooo`18ool000;oo`8000[oo`8000Goo`03003ooooo 04?oo`03cn3ooooo07Koo`03cn3ooooo04Woo`005Ooo00<00?ooool0@ooo00??h?ooool0M_oo00?? h?ooool0BOoo000Eool00`00ooooo`14ool00loPooooo`1dool00loPooooo`1:ool001Goo`03003o oooo04Coo`03cn3ooooo07?oo`03cn3ooooo04_oo`005Ooo0P00AOoo00??h?ooool0Looo00??h?oo ool0Booo000Eool00`00ooooo`14ool00loPooooo`1bool00loPooooo`1ool001Goo`03003o oooo04Goo`03cn3ooooo06ooo`03cn3ooooo04koo`005Ooo00<00?ooool0AOoo00??h?ooool0K_oo 00??h?ooool0Cooo000Eool00`00ooooo`16ool00loPooooo`1/ool00loPooooo`1@ool001Goo`80 04Ooo`03cn3ooooo06coo`03cn3ooooo053oo`005Ooo00<00?ooool0A_oo00??h?ooool0Jooo00?? h?ooool0DOoo000Eool00`00ooooo`16ool00loPooooo`1Zool00loPooooo`1Bool001Goo`03003o oooo04Koo`03cn3ooooo06[oo`03cn3ooooo05;oo`005Ooo00<00?ooool0Aooo00??h?ooool0J?oo 00??h?ooool0Dooo000Eool00`00ooooo`17ool00loPooooo`1Xool00loPooooo`1Cool001Goo`03 003ooooo04Ooo`03cn3ooooo06Ooo`03cn3ooooo05Coo`005Ooo00<00?ooool0Aooo00??h?ooool0 Iooo00??h?ooool0E?oo000Eool20019ool00loPooooo`1Uool00loPooooo`1Eool001Goo`03003o oooo04Soo`03cn3ooooo06Goo`03cn3ooooo05Goo`005Ooo00<00?ooool0B?oo00??h?ooool0I?oo 00??h?ooool0E_oo000Eool00`00ooooo`18ool00loPooooo`1Tool00loPooooo`1Fool001Goo`03 003ooooo04Woo`03cn3ooooo06;oo`03cn3ooooo05Ooo`005Ooo00<00?ooool0BOoo00??h?ooool0 H_oo00??h?ooool0Eooo0002ool20004ool00`00ooooo`04ool00`00ooooo`03ool00`00ooooo`19 ool00loPooooo`1Qool00loPooooo`1Hool00005ool00?ooool0000:ool00`00ooooo`03ool00`00 ooooo`19ool00loPooooo`1Qool00loPooooo`1Hool00005ool00?ooool00007ool50004ool3001: ool00loPooooo`1Pool00loPooooo`1Hool00005ool00?ooool00007ool01000ooooo`001Ooo00<0 0?ooool0B_oo00??h?ooool0Gooo00??h?ooool0FOoo00001Ooo003ooooo00002?oo00<00?oo0000 1Ooo00<00?ooool0B_oo00??h?ooool0Gooo00??h?ooool0FOoo00001Ooo003ooooo00002Ooo0P00 1Ooo00<00?ooool0B_oo00??h?ooool0G_oo00??h?ooool0F_oo0002ool2000;ool00`00ooooo`03 ool00`00ooooo`1;ool00loPooooo`1Mool00loPooooo`1Jool001Goo`03003ooooo04_oo`03cn3o oooo05goo`03cn3ooooo05[oo`005Ooo00<00?ooool0Booo00??h?ooool0G?oo00??h?ooool0Fooo 000Eool00`00ooooo`1;ool00loPooooo`1Lool00loPooooo`1Kool001Goo`8004goo`03cn3ooooo 05_oo`03cn3ooooo05_oo`005Ooo00<00?ooool0C?oo00??h?ooool0F_oo00??h?ooool0G?oo000E ool00`00ooooo`1_oo00??h?ooool0J?oo000Eool2001Rool00loPooooo`0iool00loPoooo o`1Xool001Goo`03003ooooo067oo`03cn3ooooo03Woo`03cn3ooooo06Soo`005Ooo00<00?ooool0 H_oo00??h?ooool0=ooo00??h?ooool0JOoo000Eool00`00ooooo`1Sool00loPooooo`0fool00loP ooooo`1Yool001Goo`03003ooooo06Coo`03cn3ooooo03Goo`03cn3ooooo06Woo`005Ooo00<00?oo ool0I?oo00??h?ooool0=Ooo00??h?ooool0JOoo0002ool20004ool00`00ooooo`03ool20005ool0 0`00ooooo`1Uool00loPooooo`0dool00loPooooo`1Yool00005ool00?ooool00008ool01000oooo o`001?oo00<00?ooool0I_oo00??h?ooool0<_oo00??h?ooool0J_oo00001Ooo003ooooo00002?oo 00@00?ooool000Coo`<006Ooo`03cn3ooooo037oo`03cn3ooooo06[oo`0000Goo`00ooooo`0000Wo o`8000Goo`03003ooooo06Ooo`03cn3ooooo037oo`03cn3ooooo06[oo`0000Goo`00ooooo`0000So o`04003ooooo0004ool00`00ooooo`1Xool00loPooooo`0`ool00loPooooo`1Zool00005ool00?oo ool00008ool01000ooooo`001?oo00<00?ooool0JOoo00??h?ooool0;ooo00??h?ooool0J_oo0002 ool2000:ool20005ool00`00ooooo`1Zool00loPooooo`0]ool00loPooooo`1[ool001Goo`03003o oooo06_oo`03cn3ooooo02coo`03cn3ooooo06_oo`005Ooo00<00?ooool0Jooo00??h?ooool0;?oo 00??h?ooool0Jooo000Eool00`00ooooo`1/ool00loPooooo`0[ool00loPooooo`1[ool001Goo`80 06koo`03cn3ooooo02[oo`03cn3ooooo06_oo`005Ooo00<00?ooool0K_oo00??h?ooool0:?oo00?? h?ooool0K?oo000Eool00`00ooooo`1_ool2cn0Xool00loPooooo`1/ool001Goo`03003ooooo077o o`03cn3ooooo02Goo`03cn3ooooo06coo`005Ooo00<00?ooool0L_oo00??h?ooool09?oo00??h?oo ool0K?oo000Eool00`00ooooo`1cool00loPooooo`0Sool00loPooooo`1/ool001Goo`03003ooooo 07Coo`;?h2;oo`03cn3ooooo06goo`005Ooo00<00?ooool0M_oo0/oP8?oo00??h?ooool0KOoo000E ool2001iool00loPooooo`0Mool00loPooooo`1]ool001Goo`03003ooooo07Woo`;?h1goo`03cn3o oooo06goo`005Ooo00<00?ooool0Nooo0/oP6ooo00??h?ooool0KOoo000Eool00`00ooooo`1mool2 cn0Hool00loPooooo`1^ool001Goo`03003ooooo07ooo`;?h1Koo`03cn3ooooo06koo`005Ooo00<0 0?ooool0POoo0loP4ooo00??h?ooool0K_oo000Eool00`00ooooo`24ool3cn0@ool00loPooooo`1^ ool001Goo`03003ooooo08Ooo`??h0goo`03cn3ooooo06koo`005Ooo0P00Rooo0/oP2_oo00??h?oo ool0Kooo000Eool00`00ooooo`2"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.830159, -0.0764114, \ 0.0385797, 0.00624232}}], 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 0.1 0 0.618034 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 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 .2 0 m .2 .00625 L s [(2)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(4)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(6)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(8)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(10)] 1 -0.0125 0 1 Mshowa .125 Mabswid .05 0 m .05 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .25 0 m .25 .00375 L s .3 0 m .3 .00375 L s .35 0 m .35 .00375 L s .45 0 m .45 .00375 L s .5 0 m .5 .00375 L s .55 0 m .55 .00375 L s .65 0 m .65 .00375 L s .7 0 m .7 .00375 L s .75 0 m .75 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .95 0 m .95 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 1 1 r .5 Mabswid 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 0 L .15237 0 L .15349 0 L .15467 0 L .15586 0 L .15714 0 L .15835 0 L Mistroke .15945 0 L .16074 0 L .16146 0 L .16214 0 L .16337 0 L .16468 0 L .16594 0 L .16732 0 L .16863 0 L .16984 0 L .17103 0 L .17212 0 L .17337 0 L .17456 0 L .17585 0 L .17721 0 L .17838 0 L .17966 0 L .18104 0 L .18181 0 L .18251 0 L .18388 0 L .18518 0 L .18628 0 L .1875 0 L .18877 0 L .18996 0 L .19107 0 L .19209 0 L .19321 0 L .19438 0 L .19558 0 L .19686 0 L .19807 0 L .19916 0 L .20045 0 L .20118 0 L .20185 0 L .20309 0 L .20439 0 L .20566 0 L .20705 0 L .20835 0 L .20957 0 L .21077 0 L .21186 0 L .21311 0 L .2143 0 L .21559 0 L .21696 0 L Mistroke .21813 0 L .21941 0 L .22079 0 L .22157 0 L .22227 0 L .22364 0 L .22494 0 L .22604 0 L .22726 0 L .22853 0 L .22973 0 L .23084 0 L .23186 0 L .23297 0 L .23415 0 L .23535 0 L .23663 0 L .23784 0 L .23893 0 L .24023 0 L .24095 0 L .24163 0 L .24286 0 L .24416 0 L .24544 0 L .24683 0 L .24814 0 L .24935 0 L .25044 0 L .25165 0 L .25291 0 L .25409 0 L .25539 0 L .25676 0 L .25793 0 L .25922 0 L .2606 0 L .26137 0 L .26208 0 L .26345 0 L .26475 0 L .26586 0 L .26708 0 L .26835 0 L .26954 0 L .27066 0 L .27168 .00123 L .27286 .00844 L .27397 .01522 L .28399 .07266 L Mistroke .3241 .25286 L .34476 .32103 L .36678 .37974 L .38776 .42483 L .41045 .46405 L .45253 .51694 L .47347 .53604 L .49559 .55231 L .53547 .57393 L .55596 .5821 L .57792 .58918 L .59873 .5946 L .6097 .59704 L .61572 .59826 L .61866 .59884 L .62136 .59935 L .62262 .59958 L .62378 .5998 L .625 .59506 L .62633 .58719 L .63169 .55654 L .6431 .49656 L .66321 .40611 L .70421 .2695 L .72663 .21537 L .74779 .1743 L .78819 .11637 L .80906 .09445 L .83116 .07572 L .87095 .05086 L .89138 .04147 L .91332 .0333 L .93406 .02706 L .95666 .02159 L .99842 .01422 L 1 .01399 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]HGAYHf4PAg9QL6QYHg_oo000Eool00`00ooooo`19ool00`Ooooooo`1nool0 0`Ooooooo`0kool000;oo`8000Coo`03003ooooo00;oo`@000Coo`03003ooooo04Woo`031ooooooo 07goo`031ooooooo03coo`0000Goo`00ooooo`0000Soo`03003ooooo00Goo`03003ooooo04[oo`03 1ooooooo07_oo`031ooooooo03goo`0000Goo`00ooooo`0000Woo`03003ooooo00Coo`<004[oo`03 1ooooooo07_oo`031ooooooo03goo`0000Goo`00ooooo`0000[oo`03003ooooo00?oo`03003ooooo 04[oo`031ooooooo07[oo`031ooooooo03koo`0000Goo`00ooooo`0000_oo`03003ooooo00;oo`03 003ooooo04[oo`031ooooooo07Woo`031ooooooo03ooo`0000Goo`00ooooo`0000Soo`04003ooooo 0004ool00`00ooooo`1:ool00`Ooooooo`1iool00`Ooooooo`0oool000;oo`8000[oo`8000Goo`03 003ooooo04_oo`031ooooooo07Ooo`031ooooooo043oo`005Ooo00<00?ooool0Booo00<7ooooool0 M_oo00<7ooooool0@Ooo000Eool00`00ooooo`1;ool00`Ooooooo`1fool00`Ooooooo`11ool001Go o`03003ooooo04_oo`031ooooooo07Goo`031ooooooo04;oo`005Ooo0P00COoo00<7ooooool0Looo 00<7ooooool0@ooo000Eool00`00ooooo`1ool00`Ooooooo`1[ool00`Ooooooo`19ool001Go o`03003ooooo04koo`031ooooooo06_oo`031ooooooo04Woo`005Ooo00<00?ooool0C_oo00<7oooo ool0J_oo00<7ooooool0B_oo000Eool00`00ooooo`1>ool00`Ooooooo`1Zool00`Ooooooo`1:ool0 01Goo`03003ooooo04ooo`031ooooooo06Soo`031ooooooo04_oo`005Ooo00<00?ooool0Cooo00<7 ooooool0J?oo00<7ooooool0Booo000Eool2001@ool00`Ooooooo`1Wool00`Ooooooo`1ool00005ool00?ooool0000:ool00`00ooooo`03 ool00`00ooooo`1Aool00`Ooooooo`1Sool00`Ooooooo`1>ool00005ool00?ooool00007ool50004 ool3001Aool00`Ooooooo`1Rool00`Ooooooo`1?ool00005ool00?ooool00007ool01000ooooo`00 1Ooo00<00?ooool0DOoo00<7ooooool0H_oo00<7ooooool0Cooo00001Ooo003ooooo00002?oo00<0 0?oo00001Ooo00<00?ooool0DOoo00<7ooooool0HOoo00<7ooooool0D?oo00001Ooo003ooooo0000 2Ooo0P001Ooo00<00?ooool0D_oo00<7ooooool0H?oo00<7ooooool0D?oo0002ool2000;ool00`00 ooooo`03ool00`00ooooo`1Bool00`Ooooooo`1Pool00`Ooooooo`1@ool001Goo`03003ooooo05;o o`031ooooooo05ooo`031ooooooo057oo`005Ooo00<00?ooool0D_oo00<7ooooool0Gooo00<7oooo ool0DOoo000Eool00`00ooooo`1Cool00`Ooooooo`1Nool00`Ooooooo`1Aool001Goo`8005Coo`03 1ooooooo05goo`031ooooooo05;oo`005Ooo00<00?ooool0Dooo00<7ooooool0GOoo00<7ooooool0 D_oo000Eool00`00ooooo`1Dool00`Ooooooo`1Lool00`Ooooooo`1Bool001Goo`03003ooooo05Co o`031ooooooo05_oo`031ooooooo05?oo`005Ooo00<00?ooool0E?oo00<7ooooool0Fooo00<7oooo ool0Dooo000Eool00`00ooooo`1Dool00`Ooooooo`1Kool00`Ooooooo`1Cool001Goo`03003ooooo 05Goo`031ooooooo05Woo`031ooooooo05Coo`005Ooo00<00?ooool0EOoo00<7ooooool0FOoo00<7 ooooool0E?oo000Eool2001Fool00`Ooooooo`1Iool00`Ooooooo`1Dool001Goo`03003ooooo05Go o`031ooooooo05Woo`031ooooooo05Coo`005Ooo00<00?ooool0E_oo00<7ooooool0Eooo00<7oooo ool0EOoo000Eool00`00ooooo`1Fool00`Ooooooo`1Gool00`Ooooooo`1Eool001Goo`03003ooooo 05Koo`031ooooooo05Ooo`031ooooooo05Goo`005Ooo00<00?ooool0Eooo00<7ooooool0EOoo00<7 ooooool0E_oo000Eool00`00ooooo`1Gool00`Ooooooo`1Eool00`Ooooooo`1Fool001Goo`03003o oooo05Soo`031ooooooo05Coo`031ooooooo05Koo`005Ooo0P00FOoo00<7ooooool0Dooo00<7oooo ool0Eooo000Eool00`00ooooo`1Hool00`Ooooooo`1Cool00`Ooooooo`1Gool001Goo`03003ooooo 05Woo`031ooooooo05;oo`031ooooooo05Ooo`005Ooo00<00?ooool0FOoo00<7ooooool0DOoo00<7 ooooool0F?oo000Eool00`00ooooo`1Jool00`Ooooooo`1@ool00`Ooooooo`1Hool001Goo`03003o oooo05[oo`031ooooooo053oo`031ooooooo05Soo`000_oo0P001?oo00<00?ooool00ooo0P001Ooo 00<00?ooool0F_oo00<7ooooool0Cooo00<7ooooool0FOoo00001Ooo003ooooo00002?oo00@00?oo ool000Coo`03003ooooo05_oo`031ooooooo04koo`031ooooooo05Woo`0000Goo`00ooooo`0000So o`04003ooooo0004ool3001Kool00`Ooooooo`1>ool00`Ooooooo`1Iool00005ool00?ooool00008 ool30005ool00`00ooooo`1Lool00`Ooooooo`1=ool00`Ooooooo`1Iool00005ool00?ooool00008 ool00`00ooooo`05ool00`00ooooo`1Lool00`Ooooooo`1Ooo00<7ooooool0H?oo000Eool00`00ooooo`1Yool00`Ooooooo`0i ool00`Ooooooo`1Pool001Goo`03003ooooo06[oo`031ooooooo03Soo`031ooooooo063oo`005Ooo 00<00?ooool0Jooo00<7ooooool0=ooo00<7ooooool0H?oo0002ool20004ool00`00ooooo`03ool2 0005ool00`00ooooo`1/ool00`Ooooooo`0fool00`Ooooooo`1Pool00005ool00?ooool00008ool0 1000ooooo`001?oo00<00?ooool0KOoo00<7ooooool0=?oo00<7ooooool0HOoo00001Ooo003ooooo 00002?oo00@00?ooool000Coo`<006goo`031ooooooo03Coo`031ooooooo067oo`0000Goo`00oooo o`0000Woo`8000Goo`03003ooooo06koo`031ooooooo03?oo`031ooooooo067oo`0000Goo`00oooo o`0000Soo`04003ooooo0004ool00`00ooooo`1_ool00`Ooooooo`0bool00`Ooooooo`1Qool00005 ool00?ooool00008ool01000ooooo`001?oo00<00?ooool0L?oo00<7ooooool0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.830159, -0.0764114, \ 0.0385797, 0.00624232}}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(GraphicsArray[{Show[{SolutionPlot1, SolutionPlot2, SolutionPlot3}, PlotLabel \[Rule] \ "\"]}];\)\)], "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 0.1 0 0.618034 [ [.2 -0.0125 -3 -9 ] [.2 -0.0125 3 0 ] [.4 -0.0125 -3 -9 ] [.4 -0.0125 3 0 ] [.6 -0.0125 -3 -9 ] [.6 -0.0125 3 0 ] [.8 -0.0125 -3 -9 ] [.8 -0.0125 3 0 ] [1 -0.0125 -6 -9 ] [1 -0.0125 6 0 ] [-0.0125 .12361 -18 -4.5 ] [-0.0125 .12361 0 4.5 ] [-0.0125 .24721 -18 -4.5 ] [-0.0125 .24721 0 4.5 ] [-0.0125 .37082 -18 -4.5 ] [-0.0125 .37082 0 4.5 ] [-0.0125 .49443 -18 -4.5 ] [-0.0125 .49443 0 4.5 ] [-0.0125 .61803 -6 -4.5 ] [-0.0125 .61803 0 4.5 ] [.5 .63053 -26 0 ] [.5 .63053 26 9.8125 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .2 0 m .2 .00625 L s [(2)] .2 -0.0125 0 1 Mshowa .4 0 m .4 .00625 L s [(4)] .4 -0.0125 0 1 Mshowa .6 0 m .6 .00625 L s [(6)] .6 -0.0125 0 1 Mshowa .8 0 m .8 .00625 L s [(8)] .8 -0.0125 0 1 Mshowa 1 0 m 1 .00625 L s [(10)] 1 -0.0125 0 1 Mshowa .125 Mabswid .05 0 m .05 .00375 L s .1 0 m .1 .00375 L s .15 0 m .15 .00375 L s .25 0 m .25 .00375 L s .3 0 m .3 .00375 L s .35 0 m .35 .00375 L s .45 0 m .45 .00375 L s .5 0 m .5 .00375 L s .55 0 m .55 .00375 L s .65 0 m .65 .00375 L s .7 0 m .7 .00375 L s .75 0 m .75 .00375 L s .85 0 m .85 .00375 L s .9 0 m .9 .00375 L s .95 0 m .95 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .12361 m .00625 .12361 L s [(0.2)] -0.0125 .12361 1 0 Mshowa 0 .24721 m .00625 .24721 L s [(0.4)] -0.0125 .24721 1 0 Mshowa 0 .37082 m .00625 .37082 L s [(0.6)] -0.0125 .37082 1 0 Mshowa 0 .49443 m .00625 .49443 L s [(0.8)] -0.0125 .49443 1 0 Mshowa 0 .61803 m .00625 .61803 L s [(1)] -0.0125 .61803 1 0 Mshowa .125 Mabswid 0 .0309 m .00375 .0309 L s 0 .0618 m .00375 .0618 L s 0 .09271 m .00375 .09271 L s 0 .15451 m .00375 .15451 L s 0 .18541 m .00375 .18541 L s 0 .21631 m .00375 .21631 L s 0 .27812 m .00375 .27812 L s 0 .30902 m .00375 .30902 L s 0 .33992 m .00375 .33992 L s 0 .40172 m .00375 .40172 L s 0 .43262 m .00375 .43262 L s 0 .46353 m .00375 .46353 L s 0 .52533 m .00375 .52533 L s 0 .55623 m .00375 .55623 L s 0 .58713 m .00375 .58713 L s .25 Mabswid 0 0 m 0 .61803 L s gsave .5 .63053 -87 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 17.8125 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 11.250 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 0.000 0.000 rmoveto 63.000 11.250 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 (z1) show 75.000 11.250 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 (,) show 81.000 11.250 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 (z2) show 93.000 11.250 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 (,) show 99.000 11.250 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 (z3) show 111.000 11.250 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 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 0 0 r .5 Mabswid 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 0 L .15237 0 L .15349 0 L .15467 0 L .15586 0 L .15714 0 L .15835 0 L Mistroke .15945 0 L .16074 0 L .16146 0 L .16214 0 L .16337 0 L .16468 0 L .16594 0 L .16732 0 L .16863 0 L .16984 0 L .17103 0 L .17212 0 L .17337 0 L .17456 0 L .17585 0 L .17721 0 L .17838 0 L .17966 0 L .18104 0 L .18181 0 L .18251 0 L .18388 0 L .18518 0 L .18628 0 L .1875 0 L .18877 0 L .18996 0 L .19107 0 L .19209 0 L .19321 0 L .19438 0 L .19558 0 L .19686 0 L .19807 0 L .19916 0 L .20045 0 L .20118 0 L .20185 0 L .20309 0 L .20439 0 L .20566 0 L .20705 0 L .20835 0 L .20957 0 L .21077 0 L .21186 0 L .21311 0 L .2143 0 L .21559 0 L .21696 0 L Mistroke .21813 0 L .21941 0 L .22079 .00243 L .22157 .00718 L .22227 .01147 L .22494 .02743 L .24416 .13073 L .26593 .22604 L .28604 .29747 L .32633 .40377 L .34596 .44195 L .3676 .47622 L .38966 .50429 L .40986 .52509 L .45052 .55615 L .47042 .56731 L .49217 .57723 L .51279 .58483 L .51873 .58675 L .52433 .58845 L .52935 .5899 L .53073 .59028 L .53219 .59069 L .53343 .59102 L .5348 .58537 L .55696 .46899 L .5772 .38308 L .618 .25472 L .63801 .20854 L .6598 .16772 L .68012 .13688 L .70257 .10935 L .74375 .07244 L .76403 .05914 L .78592 .04751 L .80651 .03867 L .82907 .03086 L .87063 .02037 L .89118 .01658 L .91317 .01331 L .93404 .0108 L .9567 .00861 L .99863 .00566 L 1 .00559 L Mfstroke .8 1 0 r 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 0 L .15237 0 L .15349 0 L .15467 0 L .15586 0 L .15714 0 L .15835 0 L Mistroke .15945 0 L .16074 0 L .16146 0 L .16214 0 L .16337 0 L .16468 0 L .16594 0 L .16732 0 L .16863 0 L .16984 0 L .17103 0 L .17212 0 L .17337 0 L .17456 0 L .17585 0 L .17721 0 L .17838 0 L .17966 0 L .18104 0 L .18181 0 L .18251 0 L .18388 0 L .18518 0 L .18628 0 L .1875 0 L .18877 0 L .18996 0 L .19107 0 L .19209 0 L .19321 0 L .19438 0 L .19558 0 L .19686 0 L .19807 0 L .19916 0 L .20045 0 L .20118 0 L .20185 0 L .20309 0 L .20439 0 L .20566 0 L .20705 0 L .20835 0 L .20957 0 L .21077 0 L .21186 0 L .21311 0 L .2143 0 L .21559 0 L .21696 0 L Mistroke .21813 0 L .21941 0 L .22079 0 L .22157 0 L .22227 0 L .22364 0 L .22494 0 L .22604 0 L .22726 0 L .22853 0 L .22973 0 L .23084 0 L .23186 0 L .23297 0 L .23415 0 L .23535 0 L .23663 0 L .23784 0 L .23893 0 L .24023 0 L .24095 0 L .24163 0 L .24286 .00091 L .24416 .0089 L .28399 .209 L .30444 .28465 L .32638 .35035 L .34715 .40055 L .36977 .44457 L .41156 .50382 L .43229 .5252 L .45433 .54357 L .49392 .56791 L .5142 .57711 L .53609 .58516 L .55669 .59128 L .56758 .59404 L .57358 .59544 L .57924 .59668 L .58464 .5978 L .58612 .5981 L .58769 .59841 L .58903 .59867 L .58979 .59873 L .59051 .59448 L .60076 .53656 L .6208 .43912 L .66152 .29224 L .68371 .23407 L .70481 .18955 L Mistroke .74492 .12692 L .76558 .10323 L .78761 .08282 L .80859 .06715 L .83128 .05352 L .87335 .03514 L .8943 .0285 L .91642 .02284 L .95629 .01533 L .97678 .01249 L .99875 .01003 L 1 .0099 L Mfstroke 0 1 1 r 0 0 m .00123 0 L .00236 0 L .00365 0 L .00488 0 L .00601 0 L .00706 0 L .00821 0 L .00942 0 L .01065 0 L .01196 0 L .0132 0 L .01434 0 L .01566 0 L .01641 0 L .01711 0 L .01839 0 L .01975 0 L .02043 0 L .02115 0 L .02245 0 L .02317 0 L .02384 0 L .02458 0 L .02537 0 L .02605 0 L .02679 0 L .02814 0 L .02945 0 L .03067 0 L .03184 0 L .03295 0 L .03416 0 L .03547 0 L .03676 0 L .03813 0 L .03929 0 L .04057 0 L .04131 0 L .042 0 L .04275 0 L .04355 0 L .0449 0 L .04566 0 L .04637 0 L .0477 0 L .04892 0 L .04959 0 L .05032 0 L .05165 0 L Mistroke .05245 0 L .05321 0 L .05389 0 L .05462 0 L .05543 0 L .05627 0 L .057 0 L .05779 0 L .05854 0 L .05921 0 L .06 0 L .06074 0 L .06205 0 L .0628 0 L .06349 0 L .06471 0 L .06603 0 L .06727 0 L .06841 0 L .06967 0 L .07105 0 L .07175 0 L .07249 0 L .07383 0 L .07457 0 L .07525 0 L .076 0 L .07679 0 L .07812 0 L .07888 0 L .07959 0 L .0809 0 L .08211 0 L .08349 0 L .08481 0 L .086 0 L .08729 0 L .0885 0 L .08962 0 L .09085 0 L .0922 0 L .09289 0 L .09361 0 L .09493 0 L .09565 0 L .09632 0 L .09705 0 L .09783 0 L .09913 0 L .09987 0 L Mistroke .10056 0 L .10185 0 L .10303 0 L .10439 0 L .10569 0 L .10691 0 L .10801 0 L .10928 0 L .11048 0 L .1116 0 L .11262 0 L .11375 0 L .11493 0 L .11613 0 L .11742 0 L .11864 0 L .11974 0 L .12104 0 L .12178 0 L .12245 0 L .1237 0 L .12502 0 L .12622 0 L .12753 0 L .12889 0 L .13016 0 L .13135 0 L .13244 0 L .13369 0 L .13487 0 L .13616 0 L .13752 0 L .13868 0 L .13996 0 L .14134 0 L .14211 0 L .14281 0 L .14418 0 L .14548 0 L .14669 0 L .14779 0 L .14906 0 L .15025 0 L .15136 0 L .15237 0 L .15349 0 L .15467 0 L .15586 0 L .15714 0 L .15835 0 L Mistroke .15945 0 L .16074 0 L .16146 0 L .16214 0 L .16337 0 L .16468 0 L .16594 0 L .16732 0 L .16863 0 L .16984 0 L .17103 0 L .17212 0 L .17337 0 L .17456 0 L .17585 0 L .17721 0 L .17838 0 L .17966 0 L .18104 0 L .18181 0 L .18251 0 L .18388 0 L .18518 0 L .18628 0 L .1875 0 L .18877 0 L .18996 0 L .19107 0 L .19209 0 L .19321 0 L .19438 0 L .19558 0 L .19686 0 L .19807 0 L .19916 0 L .20045 0 L .20118 0 L .20185 0 L .20309 0 L .20439 0 L .20566 0 L .20705 0 L .20835 0 L .20957 0 L .21077 0 L .21186 0 L .21311 0 L .2143 0 L .21559 0 L .21696 0 L Mistroke .21813 0 L .21941 0 L .22079 0 L .22157 0 L .22227 0 L .22364 0 L .22494 0 L .22604 0 L .22726 0 L .22853 0 L .22973 0 L .23084 0 L .23186 0 L .23297 0 L .23415 0 L .23535 0 L .23663 0 L .23784 0 L .23893 0 L .24023 0 L .24095 0 L .24163 0 L .24286 0 L .24416 0 L .24544 0 L .24683 0 L .24814 0 L .24935 0 L .25044 0 L .25165 0 L .25291 0 L .25409 0 L .25539 0 L .25676 0 L .25793 0 L .25922 0 L .2606 0 L .26137 0 L .26208 0 L .26345 0 L .26475 0 L .26586 0 L .26708 0 L .26835 0 L .26954 0 L .27066 0 L .27168 .00123 L .27286 .00844 L .27397 .01522 L .28399 .07266 L Mistroke .3241 .25286 L .34476 .32103 L .36678 .37974 L .38776 .42483 L .41045 .46405 L .45253 .51694 L .47347 .53604 L .49559 .55231 L .53547 .57393 L .55596 .5821 L .57792 .58918 L .59873 .5946 L .6097 .59704 L .61572 .59826 L .61866 .59884 L .62136 .59935 L .62262 .59958 L .62378 .5998 L .625 .59506 L .62633 .58719 L .63169 .55654 L .6431 .49656 L .66321 .40611 L .70421 .2695 L .72663 .21537 L .74779 .1743 L .78819 .11637 L .80906 .09445 L .83116 .07572 L .87095 .05086 L .89138 .04147 L .91332 .0333 L .93406 .02706 L .95666 .02159 L .99842 .01422 L 1 .01399 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]HGAYHf4PAg9QL6QYHgool00`00ooooo`0[ool00`00 ool0000^ool00`00ooooo`0^ool01000ooooo`00;?oo00D00?ooooooo`0000;oo`03003ooooo00So o`00Booo00@00?ooool002koo`8002koo`03003ooooo02koo`04003ooooo000Zool30003ool01000 ooooo`002_oo001ool001coo`03003ooooo03?oo`03n03ooooo00?oo`03cn3ooooo00Co o`031ooooooo09Soo`Gh00Koo`[?h0<7o`koo`007?oo00<00?ooool0=?oo00?h0?ooool00_oo00?? h?ooool01?oo00<7ooooool0Tooo1OP01_oo1LoP1Ooo1@Oo4Ooo000Lool00`00ooooo`0dool00oP0 ooooo`03ool00loPooooo`03ool00`Ooooooo`2>ool5n007ool4cn04ool61olFool001coo`03003o oooo03Coo`03n03ooooo00?oo`03cn3ooooo00?oo`031ooooooo08Soo`Kh00Woo`??h0Coo`@7oaco o`007?oo0P00=Ooo00?h0?ooool00ooo00??h?ooool01?oo00<7ooooool0Pooo1?P02ooo1?oo00?h0?ooool00ooo00??h?ooool00ooo00<7ooooool0J?oo00?h 0?ooool02ooo00??h?ooool01_oo00<7ooooool0>Ooo000Lool00`00ooooo`0gool00oP0ooooo`03 ool00loPooooo`03ool00`Ooooooo`1Wool00oP0ooooo`0;ool00loPooooo`06ool00`Ooooooo`0j ool001coo`03003ooooo03Ooo`03n03ooooo00?oo`03cn3ooooo00?oo`031ooooooo06Koo`03n03o oooo00_oo`03cn3ooooo00Koo`031ooooooo03_oo`007?oo00<00?ooool0>?oo00?h0?ooool00_oo 00??h?ooool01?oo00<7ooooool0I?oo00?h0?ooool02ooo00??h?ooool01Ooo0POo?_oo000Lool0 0`00ooooo`0hool00oP0ooooo`02ool00loPooooo`04ool00`Ooooooo`1Sool00oP0ooooo`0;ool0 0loPooooo`05ool00`Ooooooo`0nool001coo`03003ooooo03Soo`03n03ooooo00?oo`03cn3ooooo 00?oo`031ooooooo06;oo`03n03ooooo00_oo`03cn3ooooo00Goo`031ooooooo03ooo`002Ooo0P00 1?oo00<00?ooool00_oo10001?oo00<00?ooool0>?oo00?h0?ooool00ooo00??h?ooool00ooo00<7 ooooool0HOoo00?h0?ooool03?oo00??h?ooool01?oo00<7ooooool0@?oo0008ool01000ooooo`00 2?oo00<00?ooool01Ooo00<00?ooool0>?oo00?h0?ooool00ooo00??h?ooool01?oo00<7ooooool0 Gooo00?h0?ooool03?oo00??h?ooool01?oo00<7ooooool0@Ooo0008ool01000ooooo`002Ooo00<0 0?ooool01?oo0P00>_oo00?h0?ooool00_oo00??h?ooool01?oo00<7ooooool0Gooo00?h0?ooool0 2ooo00??h?ooool01Ooo00<7ooooool0@Ooo0008ool01000ooooo`002_oo00<00?ooool00ooo00<0 0?ooool0>Ooo00?h0?ooool00_oo00??h?ooool01?oo00<7ooooool0G_oo00?h0?ooool02ooo00?? h?ooool01Ooo00<7ooooool0@_oo0008ool01000ooooo`002ooo00<00?ooool00_oo00<00?ooool0 >Ooo00?h0?ooool00ooo00??h?ooool00ooo00<7ooooool0GOoo00?h0?ooool02ooo00??h?ooool0 1Ooo00<7ooooool0@ooo0008ool01000ooooo`002?oo00@00?ooool000Coo`03003ooooo03Woo`03 n03ooooo00?oo`03cn3ooooo00?oo`031ooooooo05coo`03n03ooooo00coo`03cn3ooooo00Coo`03 1ooooooo04Coo`002Ooo0P002_oo0P001Ooo00<00?ooool0>Ooo00?h0?ooool00ooo00??h?ooool0 1?oo00<7ooooool0F_oo00?h0?ooool03?oo00??h?ooool01Ooo00<7ooooool0A?oo000Lool00`00 ooooo`0jool00oP0ooooo`02ool00loPooooo`04ool00`Ooooooo`1Jool00oP0ooooo`0;ool00loP ooooo`05ool00`Ooooooo`15ool001coo`03003ooooo03[oo`03n03ooooo00;oo`03cn3ooooo00Co o`031ooooooo05Woo`03n03ooooo00coo`03cn3ooooo00Coo`031ooooooo04Koo`007?oo00<00?oo ool0>_oo00?h0?ooool00_oo00??h?ooool01?oo00<7ooooool0FOoo00?h0?ooool02ooo00??h?oo ool01Ooo00<7ooooool0A_oo000Lool2000kool00oP0ooooo`03ool00loPooooo`04ool00`Oooooo o`1Gool00oP0ooooo`0;ool00loPooooo`05ool00`Ooooooo`17ool001coo`03003ooooo03_oo`03 n03ooooo00;oo`03cn3ooooo00Coo`031ooooooo05Koo`03n03ooooo00coo`03cn3ooooo00Coo`03 1ooooooo04Soo`007?oo00<00?ooool0>ooo00?h0?ooool00_oo00??h?ooool01?oo00<7ooooool0 E_oo00?h0?ooool02ooo00??h?ooool01?oo00<7ooooool0BOoo000Lool00`00ooooo`0kool00oP0 ooooo`02ool00loPooooo`04ool00`Ooooooo`1Eool00oP0ooooo`0;ool00loPooooo`05ool00`Oo ooooo`19ool001coo`03003ooooo03_oo`03n03ooooo00;oo`03cn3ooooo00Coo`031ooooooo05Co o`03n03ooooo00coo`03cn3ooooo00Coo`031ooooooo04[oo`007?oo00<00?ooool0>ooo00?h0?oo ool00ooo00??h?ooool01?oo00<7ooooool0Dooo00?h0?ooool02ooo00??h?ooool01Ooo00<7oooo ool0B_oo000Lool00`00ooooo`0lool00oP0ooooo`02ool00loPooooo`04ool00`Ooooooo`1Bool0 0oP0ooooo`0;ool00loPooooo`05ool00`Ooooooo`1;ool001coo`8003goo`03n03ooooo00;oo`03 cn3ooooo00Coo`031ooooooo05;oo`03n03ooooo00_oo`03cn3ooooo00Goo`031ooooooo04_oo`00 7?oo00<00?ooool0??oo00?h0?ooool00_oo00??h?ooool01?oo00<7ooooool0DOoo00?h0?ooool0 2ooo00??h?ooool01Ooo00<7ooooool0C?oo000Lool00`00ooooo`0lool00oP0ooooo`02ool00loP ooooo`05ool00`Ooooooo`1?ool00oP0ooooo`0ool00oP0ooooo`0;ool0 0loPooooo`05ool00`Ooooooo`1>ool001coo`03003ooooo03goo`03n03ooooo00;oo`03cn3ooooo 00Goo`031ooooooo04coo`03n03ooooo00coo`03cn3ooooo00Goo`031ooooooo04koo`007?oo00<0 0?ooool0?Ooo00?h0?ooool00_oo00??h?ooool01Ooo00<7ooooool0C?oo00?h0?ooool02ooo00?? h?ooool01Ooo00<7ooooool0Cooo000Lool2000oool00oP0ooooo`02ool00loPooooo`04ool00`Oo ooooo`1;ool00oP0ooooo`0_oo00?h0?ooool02_oo 00??h?ooool01_oo00<7ooooool0FOoo000Lool00`00ooooo`16ool00oP0ooooo`03ool00loPoooo o`03ool00`Ooooooo`0jool00oP0ooooo`0:ool00loPooooo`06ool00`Ooooooo`1Iool001coo`80 04Soo`03n03ooooo00;oo`03cn3ooooo00Coo`031ooooooo03Soo`03n03ooooo00_oo`03cn3ooooo 00Koo`031ooooooo05Woo`007?oo00<00?ooool0Aooo00?h0?ooool00_oo00??h?ooool01?oo00<7 ooooool0>?oo00?h0?ooool02_oo00??h?ooool01ooo00<7ooooool0FOoo000Lool00`00ooooo`18 ool00oP0ooooo`02ool00loPooooo`04ool00`Ooooooo`0gool00oP0ooooo`0:ool00loPooooo`06 ool00`Ooooooo`1Jool001coo`03003ooooo04Soo`03n03ooooo00;oo`03cn3ooooo00Coo`031ooo oooo03Ooo`03n03ooooo00[oo`03cn3ooooo00Koo`031ooooooo05[oo`007?oo00<00?ooool0B?oo 00?h0?ooool00_oo00??h?ooool01?oo00<7ooooool0=_oo00?h0?ooool02ooo00??h?ooool01_oo 00<7ooooool0F_oo000Lool00`00ooooo`19ool00oP0ooooo`02ool00loPooooo`04ool00`Oooooo o`0eool00oP0ooooo`0:ool00loPooooo`06ool00`Ooooooo`1Kool000Woo`8000Coo`03003ooooo 00?oo`8000Goo`03003ooooo04Woo`03n03ooooo00;oo`03cn3ooooo00Coo`031ooooooo03Goo`03 n03ooooo00[oo`03cn3ooooo00Koo`031ooooooo05_oo`002?oo00@00?ooool000Soo`04003ooooo 0004ool00`00ooooo`1:ool00oP0ooooo`02ool00loPooooo`04ool00`Ooooooo`0cool00oP0oooo o`0;ool00loPooooo`06ool00`Ooooooo`1Kool000Soo`04003ooooo0008ool01000ooooo`001?oo 0P00Booo00?h0?ooool00_oo00??h?ooool01?oo00<7ooooool0ool00oP0ooooo`02ool00loP ooooo`04ool00`Ooooooo`0^ool00oP0ooooo`0;ool00loPooooo`05ool00`Ooooooo`1Nool001co o`03003ooooo04goo`03n03ooooo00?oo`03cn3ooooo00Coo`031ooooooo02goo`03n03ooooo00[o o`03cn3ooooo00Koo`031ooooooo05koo`007?oo00<00?ooool0C_oo00?h0?ooool00_oo00??h?oo ool01?oo00<7ooooool0;Ooo00?h0?ooool02_oo00??h?ooool01_oo00<7ooooool0G_oo000Lool0 0`00ooooo`1>ool00oP0ooooo`03ool00loPooooo`04ool00`Ooooooo`0[ool00oP0ooooo`0;ool0 0loPooooo`06ool00`Ooooooo`1Nool001coo`03003ooooo04ooo`03n03ooooo00;oo`03cn3ooooo 00Coo`031ooooooo02_oo`03n03ooooo00_oo`03cn3ooooo00Goo`031ooooooo05ooo`007?oo00<0 0?ooool0Cooo00?h0?ooool00ooo00??h?ooool01?oo00<7ooooool0:_oo00?h0?ooool02_oo00?? h?ooool01_oo00<7ooooool0Gooo000Lool00`00ooooo`1@ool00oP0ooooo`02ool00loPooooo`04 ool00`Ooooooo`0Zool00oP0ooooo`0:ool00loPooooo`06ool00`Ooooooo`1Oool001coo`03003o oooo053oo`03n03ooooo00?oo`03cn3ooooo00Coo`031ooooooo02Soo`03n03ooooo00_oo`03cn3o oooo00Koo`031ooooooo05ooo`007?oo0P00D_oo00?h0?ooool00_oo00??h?ooool01?oo00<7oooo ool0:?oo00?h0?ooool02ooo00??h?ooool01Ooo00<7ooooool0H?oo000Lool00`00ooooo`1Aool0 0oP0ooooo`03ool00loPooooo`04ool00`Ooooooo`0Wool00oP0ooooo`0:ool00loPooooo`06ool0 0`Ooooooo`1Pool001coo`03003ooooo05;oo`03n03ooooo00;oo`03cn3ooooo00Coo`031ooooooo 02Ooo`03n03ooooo00[oo`03cn3ooooo00Koo`031ooooooo063oo`007?oo00<00?ooool0Dooo00?h 0?ooool00_oo00??h?ooool01?oo00<7ooooool09Ooo00?h0?ooool02ooo00??h?ooool01_oo00<7 ooooool0H?oo000Lool00`00ooooo`1Cool00oP0ooooo`03ool00loPooooo`04ool00`Ooooooo`0T ool00oP0ooooo`0;ool00loPooooo`06ool00`Ooooooo`1Pool001coo`03003ooooo05Coo`03n03o oooo00;oo`03cn3ooooo00Coo`031ooooooo02Coo`03n03ooooo00[oo`03cn3ooooo00Koo`031ooo oooo067oo`007?oo00<00?ooool0E?oo00?h0?ooool00ooo00??h?ooool01?oo00<7ooooool08ooo 00?h0?ooool02_oo00??h?ooool01_oo00<7ooooool0HOoo000Lool00`00ooooo`1Eool00oP0oooo o`03ool00loPooooo`03ool00`Ooooooo`0Rool00oP0ooooo`0;ool00loPooooo`06ool00`Oooooo o`1Qool001coo`8005Koo`03n03ooooo00?oo`03cn3ooooo00Coo`031ooooooo027oo`03n03ooooo 00_oo`03cn3ooooo00Koo`031ooooooo067oo`007?oo00<00?ooool0E_oo00?h0?ooool00ooo00?? h?ooool01?oo00<7ooooool08?oo00?h0?ooool02ooo00??h?ooool01_oo00<7ooooool0HOoo000L ool00`00ooooo`1Fool00oP0ooooo`04ool00loPooooo`04ool00`Ooooooo`0Oool00oP0ooooo`0: ool00loPooooo`06ool00`Ooooooo`1Rool001coo`03003ooooo05Ooo`03n03ooooo00?oo`03cn3o oooo00Coo`031ooooooo01ooo`03n03ooooo00[oo`03cn3ooooo00Koo`031ooooooo06;oo`007?oo 00<00?ooool0F?oo00?h0?ooool00ooo00??h?ooool01?oo00<7ooooool07Ooo00?h0?ooool02ooo 00??h?ooool01_oo00<7ooooool0H_oo0009ool20004ool00`00ooooo`03ool20005ool00`00oooo o`1Hool00oP0ooooo`04ool00loPooooo`04ool00`Ooooooo`0Lool00oP0ooooo`0;ool00loPoooo o`06ool00`Ooooooo`1Rool000Soo`04003ooooo0008ool01000ooooo`001?oo00<00?ooool0FOoo 00?h0?ooool00ooo00??h?ooool01Ooo00<7ooooool06ooo00?h0?ooool02ooo00??h?ooool01Ooo 00<7ooooool0Hooo0008ool01000ooooo`002?oo00@00?ooool000Coo`8005_oo`03n03ooooo00?o o`03cn3ooooo00Coo`031ooooooo01_oo`03n03ooooo00[oo`03cn3ooooo00Koo`031ooooooo06?o o`002?oo00@00?ooool000Woo`8000Goo`03003ooooo05_oo`03n03ooooo00?oo`03cn3ooooo00Co o`031ooooooo01[oo`03n03ooooo00[oo`03cn3ooooo00Koo`031ooooooo06?oo`002?oo00@00?oo ool000Soo`04003ooooo0004ool00`00ooooo`1Kool00oP0ooooo`03ool00loPooooo`05ool00`Oo ooooo`0Hool00oP0ooooo`0;ool00loPooooo`06ool00`Ooooooo`1Sool000Soo`04003ooooo0008 ool01000ooooo`001?oo00<00?ooool0G?oo00?h0?ooool00ooo00??h?ooool01Ooo00<7ooooool0 5ooo00?h0?ooool02ooo00??h?ooool01_oo00<7ooooool0Hooo0009ool2000:ool20005ool00`00 ooooo`1Mool00oP0ooooo`03ool00loPooooo`04ool00`Ooooooo`0Gool00oP0ooooo`0:ool00loP ooooo`06ool00`Ooooooo`1Tool001coo`03003ooooo05koo`03n03ooooo00?oo`03cn3ooooo00Co o`031ooooooo01Koo`03n03ooooo00[oo`03cn3ooooo00Koo`031ooooooo06Coo`007?oo00<00?oo ool0Gooo00?h0?ooool00ooo00??h?ooool01?oo00<7ooooool05Ooo00?h0?ooool02_oo00??h?oo ool01_oo00<7ooooool0I?oo000Lool00`00ooooo`1Pool00oP0ooooo`03ool00loPooooo`04ool0 0`Ooooooo`0Cool00oP0ooooo`0;ool00loPooooo`06ool00`Ooooooo`1Tool001coo`8006;oo`03 n03ooooo00?oo`03cn3ooooo00Coo`87oa?oo`03n03ooooo00_oo`03cn3ooooo00Koo`031ooooooo 06Coo`007?oo00<00?ooool0H_oo0_P01?oo00??h?ooool01Ooo00<7ooooool04?oo00?h0?ooool0 2_oo00??h?ooool01_oo00<7ooooool0IOoo000Lool00`00ooooo`1Tool00oP0ooooo`02ool2cn06 ool00`Ooooooo`0?ool00oP0ooooo`0:ool00loPooooo`06ool00`Ooooooo`1Uool001coo`03003o oooo06Goo`;h00Coo`03cn3ooooo00Coo`031ooooooo00goo`03n03ooooo00_oo`03cn3ooooo00Ko o`031ooooooo06Goo`007?oo00<00?ooool0Iooo00?h0?ooool00_oo00??h?ooool01?oo0POo3Ooo 00?h0?ooool02ooo00??h?ooool01_oo00<7ooooool0IOoo000Lool00`00ooooo`1Xool00oP0oooo o`02ool2cn06ool00`Ooooooo`0:ool00oP0ooooo`0;ool00loPooooo`05ool00`Ooooooo`1Vool0 01coo`03003ooooo06Woo`;h00Coo`;?h0Goo`031ooooooo00Woo`03n03ooooo00_oo`03cn3ooooo 00Goo`031ooooooo06Koo`007?oo0P00K?oo00?h0?ooool00ooo00??h?ooool00ooo0POo2Ooo00?h 0?ooool02_oo00??h?ooool01_oo00<7ooooool0I_oo000Lool00`00ooooo`1/ool2n004ool2cn05 ool21ol6ool00oP0ooooo`0;ool00loPooooo`06ool00`Ooooooo`1Vool001coo`03003ooooo06ko o`;h00Coo`;?h0Goo`031ooooooo00?oo`03n03ooooo00_oo`03cn3ooooo00Koo`031ooooooo06Ko o`007?oo00<00?ooool0L?oo0_P01?oo00??h?ooool00ooo0POo0ooo00?h0?ooool02ooo00??h?oo ool01_oo00<7ooooool0I_oo000Lool00`00ooooo`1bool2n003ool2cn05ool21ol00ooon03oo`0< ool00loPooooo`06ool00`Ooooooo`1Vool001coo`03003ooooo07Coo`;h00?oo`;?h0Goo`87o`go o`03cn3ooooo00Goo`031ooooooo06Ooo`007?oo00<00?ooool0M_oo0oP00_oo0/oP0ooo00Ch0?oo 1ol7o`_oo`03cn3ooooo00Goo`031ooooooo06Ooo`007?oo00<00?ooool0NOoo0oP000GooloPcn3o ooP000?oo`<7o`Ooo`03cn3ooooo00Koo`031ooooooo06Ooo`007?oo0P00OOoo0oP01"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-1.14212, -0.0794502, \ 0.0406663, 0.00657995}}] }, Open ]] }, FrontEndVersion->"5.2 for X", ScreenRectangle->{{0, 1400}, {0, 1050}}, WindowSize->{773, 906}, WindowMargins->{{5, Automatic}, {Automatic, 1}} ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[1754, 51, 322, 5, 71, "Text"], Cell[CellGroupData[{ Cell[2101, 60, 875, 16, 107, "Input"], Cell[2979, 78, 6029, 165, 99, "Output"] }, Open ]], Cell[9023, 246, 593, 18, 90, "Text"], Cell[CellGroupData[{ Cell[9641, 268, 558, 8, 59, "Input"], Cell[10202, 278, 5636, 159, 99, "Output"] }, Open ]], Cell[15853, 440, 158, 3, 33, "Text"], Cell[16014, 445, 376, 7, 75, "Input"], Cell[16393, 454, 161, 3, 43, "Input"], Cell[CellGroupData[{ Cell[16579, 461, 154, 3, 27, "Input"], Cell[16736, 466, 14911, 483, 186, 4261, 347, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[31684, 954, 160, 3, 27, "Input"], Cell[31847, 959, 15438, 529, 186, 4772, 393, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[CellGroupData[{ Cell[47322, 1493, 134, 2, 27, "Input"], Cell[47459, 1497, 23299, 794, 186, 8284, 604, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]], Cell[70773, 2294, 159, 3, 33, "Text"], Cell[CellGroupData[{ Cell[70957, 2301, 615, 12, 107, "Input"], Cell[CellGroupData[{ Cell[71597, 2317, 15960, 585, 186, 5371, 450, "GraphicsData", "PostScript", \ "Graphics"], Cell[87560, 2904, 16176, 604, 186, 5567, 469, "GraphicsData", "PostScript", \ "Graphics"], Cell[103739, 3510, 16451, 629, 186, 5829, 493, "GraphicsData", "PostScript", \ "Graphics"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[120239, 4145, 155, 2, 27, "Input"], Cell[120397, 4149, 33568, 1337, 186, 13908, 1090, "GraphicsData", \ "PostScript", "Graphics"] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)