(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of 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[ 85044, 1938]*) (*NotebookOutlinePosition[ 85680, 1961]*) (* CellTagsIndexPosition[ 85636, 1957]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[ \(\(p[n_]\ := \ Graphics[{PointSize[ .03], \ Table[Point[{1/k, 0}], {k, 1, n}]}]; \)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(l = \ Plot[If[x < 1/6, 0, 1], {x, 0, 1}]\)], "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 0.0238095 0.952381 0.0147151 0.588604 [ [.21429 .00222 -9 -9 ] [.21429 .00222 9 0 ] [.40476 .00222 -9 -9 ] [.40476 .00222 9 0 ] [.59524 .00222 -9 -9 ] [.59524 .00222 9 0 ] [.78571 .00222 -9 -9 ] [.78571 .00222 9 0 ] [.97619 .00222 -3 -9 ] [.97619 .00222 3 0 ] [.01131 .13244 -18 -4.5 ] [.01131 .13244 0 4.5 ] [.01131 .25016 -18 -4.5 ] [.01131 .25016 0 4.5 ] [.01131 .36788 -18 -4.5 ] [.01131 .36788 0 4.5 ] [.01131 .4856 -18 -4.5 ] [.01131 .4856 0 4.5 ] [.01131 .60332 -6 -4.5 ] [.01131 .60332 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .21429 .01472 m .21429 .02097 L s [(0.2)] .21429 .00222 0 1 Mshowa .40476 .01472 m .40476 .02097 L s [(0.4)] .40476 .00222 0 1 Mshowa .59524 .01472 m .59524 .02097 L s [(0.6)] .59524 .00222 0 1 Mshowa .78571 .01472 m .78571 .02097 L s [(0.8)] .78571 .00222 0 1 Mshowa .97619 .01472 m .97619 .02097 L s [(1)] .97619 .00222 0 1 Mshowa .125 Mabswid .07143 .01472 m .07143 .01847 L s .11905 .01472 m .11905 .01847 L s .16667 .01472 m .16667 .01847 L s .2619 .01472 m .2619 .01847 L s .30952 .01472 m .30952 .01847 L s .35714 .01472 m .35714 .01847 L s .45238 .01472 m .45238 .01847 L s .5 .01472 m .5 .01847 L s .54762 .01472 m .54762 .01847 L s .64286 .01472 m .64286 .01847 L s .69048 .01472 m .69048 .01847 L s .7381 .01472 m .7381 .01847 L s .83333 .01472 m .83333 .01847 L s .88095 .01472 m .88095 .01847 L s .92857 .01472 m .92857 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .02381 .13244 m .03006 .13244 L s [(0.2)] .01131 .13244 1 0 Mshowa .02381 .25016 m .03006 .25016 L s [(0.4)] .01131 .25016 1 0 Mshowa .02381 .36788 m .03006 .36788 L s [(0.6)] .01131 .36788 1 0 Mshowa .02381 .4856 m .03006 .4856 L s [(0.8)] .01131 .4856 1 0 Mshowa .02381 .60332 m .03006 .60332 L s [(1)] .01131 .60332 1 0 Mshowa .125 Mabswid .02381 .04415 m .02756 .04415 L s .02381 .07358 m .02756 .07358 L s .02381 .10301 m .02756 .10301 L s .02381 .16187 m .02756 .16187 L s .02381 .1913 m .02756 .1913 L s .02381 .22073 m .02756 .22073 L s .02381 .27959 m .02756 .27959 L s .02381 .30902 m .02756 .30902 L s .02381 .33845 m .02756 .33845 L s .02381 .39731 m .02756 .39731 L s .02381 .42674 m .02756 .42674 L s .02381 .45617 m .02756 .45617 L s .02381 .51503 m .02756 .51503 L s .02381 .54446 m .02756 .54446 L s .02381 .57389 m .02756 .57389 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .02381 .01472 m .06244 .01472 L .10458 .01472 L .14415 .01472 L .16408 .01472 L .17277 .01472 L .17735 .01472 L .17986 .01472 L .18109 .01472 L .18221 .01472 L .18341 .60332 L .1847 .60332 L .18744 .60332 L .19227 .60332 L .20178 .60332 L .22272 .60332 L .26243 .60332 L .30062 .60332 L .34126 .60332 L .38039 .60332 L .42198 .60332 L .46204 .60332 L .50059 .60332 L .5416 .60332 L .58108 .60332 L .61906 .60332 L .65948 .60332 L .69839 .60332 L .73975 .60332 L .77959 .60332 L .81792 .60332 L .85871 .60332 L .89797 .60332 L .93572 .60332 L .97593 .60332 L .97619 .60332 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.0829852, -0.07747, 0.00386179, 0.00624851}}], Cell[OutputFormData[ "\<\ Graphics[{{Line[{{4.166666666666666*^-8, 0.}, {0.04056699157291578, 0.}, \ {0.08480879985937367, 0.}, {0.1263593663385385, 0.}, \ {0.1472821920640583, 0.}, {0.156410219249748, 0.}, {0.1612197549879627, 0.}, {0.163852250073648, \ 0.}, {0.1651401111517623, 0.}, {0.166318407770828, 0.}, {0.1675776811101674, \ 1.}, {0.1689322946899947, 1.}, {0.1718113703472998, 1.}, \ {0.1768826232410472, 1.}, {0.18686905130709, 1.}, {0.2088525908229087, 1.}, {0.2505466650260262, \ 1.}, {0.2906492141822684, 1.}, {0.3333269049583017, 1.}, \ {0.3744130706874596, 1.}, {0.4180743780364087, 1.}, {0.4601441603384825, 1.}, \ {0.5006224175936807, 1.}, {0.5436758164686702, 1.}, {0.5851376902967842, 1.}, \ {0.6250080390780229, 1.}, {0.6674535294790527, 1.}, {0.7083074948332072, 1.}, \ {0.7517366018071528, 1.}, {0.793574183734223, 1.}, {0.8338202406144176, 1.}, {0.8766414391144037, \ 1.}, {0.9178711125675141, 1.}, {0.9575092609737492, 1.}, \ {0.9997225509997754, 1.}, {0.9999999583333332, 1.}}]}}, {PlotRange -> Automatic, AspectRatio -> GoldenRatio^(-1), DisplayFunction :> $DisplayFunction, ColorOutput -> Automatic, Axes -> \ Automatic, AxesOrigin -> Automatic, PlotLabel -> None, AxesLabel -> None, Ticks -> \ Automatic, GridLines -> None, Prolog -> {}, Epilog -> {}, AxesStyle -> Automatic, Background -> Automatic, DefaultColor -> Automatic, DefaultFont :> \ $DefaultFont, RotateLabel -> True, Frame -> False, FrameStyle -> Automatic, FrameTicks -> Automatic, FrameLabel -> None, PlotRegion -> Automatic, ImageSize -> Automatic, TextStyle :> $TextStyle, FormatType :> \ $FormatType}]\ \>", "\<\ -Graphics-\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(l2 = \ Plot[1, {x, 0, 1}, PlotRange -> {\(-0.02\), 1.02}]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.952381 0.0118853 0.594263 [ [.21429 -0.00061 -9 -9 ] [.21429 -0.00061 9 0 ] [.40476 -0.00061 -9 -9 ] [.40476 -0.00061 9 0 ] [.59524 -0.00061 -9 -9 ] [.59524 -0.00061 9 0 ] [.78571 -0.00061 -9 -9 ] [.78571 -0.00061 9 0 ] [.97619 -0.00061 -3 -9 ] [.97619 -0.00061 3 0 ] [.01131 .13074 -18 -4.5 ] [.01131 .13074 0 4.5 ] [.01131 .24959 -18 -4.5 ] [.01131 .24959 0 4.5 ] [.01131 .36844 -18 -4.5 ] [.01131 .36844 0 4.5 ] [.01131 .4873 -18 -4.5 ] [.01131 .4873 0 4.5 ] [.01131 .60615 -6 -4.5 ] [.01131 .60615 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .21429 .01189 m .21429 .01814 L s [(0.2)] .21429 -0.00061 0 1 Mshowa .40476 .01189 m .40476 .01814 L s [(0.4)] .40476 -0.00061 0 1 Mshowa .59524 .01189 m .59524 .01814 L s [(0.6)] .59524 -0.00061 0 1 Mshowa .78571 .01189 m .78571 .01814 L s [(0.8)] .78571 -0.00061 0 1 Mshowa .97619 .01189 m .97619 .01814 L s [(1)] .97619 -0.00061 0 1 Mshowa .125 Mabswid .07143 .01189 m .07143 .01564 L s .11905 .01189 m .11905 .01564 L s .16667 .01189 m .16667 .01564 L s .2619 .01189 m .2619 .01564 L s .30952 .01189 m .30952 .01564 L s .35714 .01189 m .35714 .01564 L s .45238 .01189 m .45238 .01564 L s .5 .01189 m .5 .01564 L s .54762 .01189 m .54762 .01564 L s .64286 .01189 m .64286 .01564 L s .69048 .01189 m .69048 .01564 L s .7381 .01189 m .7381 .01564 L s .83333 .01189 m .83333 .01564 L s .88095 .01189 m .88095 .01564 L s .92857 .01189 m .92857 .01564 L s .25 Mabswid 0 .01189 m 1 .01189 L s .02381 .13074 m .03006 .13074 L s [(0.2)] .01131 .13074 1 0 Mshowa .02381 .24959 m .03006 .24959 L s [(0.4)] .01131 .24959 1 0 Mshowa .02381 .36844 m .03006 .36844 L s [(0.6)] .01131 .36844 1 0 Mshowa .02381 .4873 m .03006 .4873 L s [(0.8)] .01131 .4873 1 0 Mshowa .02381 .60615 m .03006 .60615 L s [(1)] .01131 .60615 1 0 Mshowa .125 Mabswid .02381 .0416 m .02756 .0416 L s .02381 .07131 m .02756 .07131 L s .02381 .10102 m .02756 .10102 L s .02381 .16045 m .02756 .16045 L s .02381 .19016 m .02756 .19016 L s .02381 .21988 m .02756 .21988 L s .02381 .2793 m .02756 .2793 L s .02381 .30902 m .02756 .30902 L s .02381 .33873 m .02756 .33873 L s .02381 .39816 m .02756 .39816 L s .02381 .42787 m .02756 .42787 L s .02381 .45758 m .02756 .45758 L s .02381 .51701 m .02756 .51701 L s .02381 .54672 m .02756 .54672 L s .02381 .57644 m .02756 .57644 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .02381 .60615 m .06244 .60615 L .10458 .60615 L .14415 .60615 L .18221 .60615 L .22272 .60615 L .26171 .60615 L .30316 .60615 L .34309 .60615 L .3815 .60615 L .42237 .60615 L .46172 .60615 L .49955 .60615 L .53984 .60615 L .57861 .60615 L .61984 .60615 L .65954 .60615 L .69774 .60615 L .73838 .60615 L .77751 .60615 L .81909 .60615 L .85916 .60615 L .89771 .60615 L .93871 .60615 L .97619 .60615 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.0885305, -0.0772572, 0.00389815, 0.00624728}}], Cell[OutputFormData[ "\<\ Graphics[{{Line[{{4.166666666666666*^-8, 1.}, {0.04056699157291578, 1.}, \ {0.08480879985937367, 1.}, {0.1263593663385385, 1.}, \ {0.166318407770828, 1.}, {0.2088525908229087, 1.}, {0.249795248828114, 1.}, {0.2933130484531105, \ 1.}, {0.3352393230312316, 1.}, {0.3755740725624772, 1.}, \ {0.4184839637135141, 1.}, {0.4598023298176755, 1.}, {0.4995291708749615, 1.}, \ {0.5418311535520388, 1.}, {0.5825416111822406, 1.}, {0.6258272104322335, 1.}, {0.667521284635351, \ 1.}, {0.7076238337915931, 1.}, {0.7503015245676265, 1.}, \ {0.7913876902967844, 1.}, {0.8350489976457335, 1.}, {0.8771187799478072, 1.}, \ {0.9175970372030056, 1.}, {0.960650436077995, 1.}, {0.9999999583333332, 1.}}]}}, {PlotRange -> {-0.02, 1.02}, AspectRatio -> GoldenRatio^(-1), DisplayFunction :> $DisplayFunction, ColorOutput -> Automatic, Axes -> \ Automatic, AxesOrigin -> Automatic, PlotLabel -> None, AxesLabel -> None, Ticks -> \ Automatic, GridLines -> None, Prolog -> {}, Epilog -> {}, AxesStyle -> Automatic, Background -> Automatic, DefaultColor -> Automatic, DefaultFont :> \ $DefaultFont, RotateLabel -> True, Frame -> False, FrameStyle -> Automatic, FrameTicks -> Automatic, FrameLabel -> None, PlotRegion -> Automatic, ImageSize -> Automatic, TextStyle :> $TextStyle, FormatType :> \ $FormatType}]\ \>", "\<\ -Graphics-\ \>"], "Output"] }, Open ]], Cell[BoxData[ \(\(c[n_]\ := \ Graphics[{GrayLevel[1], Table[Disk[{1/k, 1}, .015], {k, 1, n}], \n GrayLevel[0], \ Table[Circle[{1/k, 1}, .015], {k, 1, n}]}]; \)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(Show[l, p[6], c[6], PlotLabel -> Subscript[s, n], \ AspectRatio -> 1, \ Ticks -> False]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.938306 0.0238095 0.938306 [ [.5 1.0125 -7.65625 0 ] [.5 1.0125 7.65625 9.8125 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 .02381 m 1 .02381 L s .02381 0 m .02381 1 L s gsave .5 1.0125 -68.6562 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 13.812500 moveto 558.000000 13.812500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 13.812500 lineto closepath clip newpath 63.000000 11.250000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (s) show 69.000000 12.750000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (n) show 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Courier %%DocumentSuppliedFonts: %%DocumentFonts: Courier grestore 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 Mabswid .02381 .02381 m .06187 .02381 L .10339 .02381 L .14237 .02381 L .16201 .02381 L .17057 .02381 L .17508 .02381 L .17755 .02381 L .17876 .02381 L .17987 .02381 L .18105 .96212 L .18232 .96212 L .18502 .96212 L .18978 .96212 L .19915 .96212 L .21978 .96212 L .2589 .96212 L .29653 .96212 L .33657 .96212 L .37512 .96212 L .41609 .96212 L .45557 .96212 L .49355 .96212 L .53394 .96212 L .57285 .96212 L .61026 .96212 L .65009 .96212 L .68842 .96212 L .72917 .96212 L .76843 .96212 L .80619 .96212 L .84637 .96212 L .88505 .96212 L .92225 .96212 L .96186 .96212 L .96212 .96212 L s .03 w .96212 .02381 Mdot .49296 .02381 Mdot .33658 .02381 Mdot .25839 .02381 Mdot .21147 .02381 Mdot .18019 .02381 Mdot 1 g .96212 .96212 m .96212 .96212 .01407 0 365.73 arc F .49296 .96212 m .49296 .96212 .01407 0 365.73 arc F .33658 .96212 m .33658 .96212 .01407 0 365.73 arc F .25839 .96212 m .25839 .96212 .01407 0 365.73 arc F .21147 .96212 m .21147 .96212 .01407 0 365.73 arc F .18019 .96212 m .18019 .96212 .01407 0 365.73 arc F 0 g .5 Mabswid newpath .96212 .96212 .01407 0 365.73 arc s newpath .49296 .96212 .01407 0 365.73 arc s newpath .33658 .96212 .01407 0 365.73 arc s newpath .25839 .96212 .01407 0 365.73 arc s newpath .21147 .96212 .01407 0 365.73 arc s newpath .18019 .96212 .01407 0 365.73 arc s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 288}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg 0?ooo`003@3oool00`000000oooo0?ooo`0U0?ooo`L0000000<0oooo0000000000001@0000060?oo o`L000003`3oool7000002@0oooo1`00001i0?ooo`L000003P3oool000H0ooooo`00000D000000L0 oooo000=0?ooo`030000003oool0oooo02D0oooo1`0000000`3oool0000000000005000000H0oooo 1`00000?0?ooo`L00000903oool7000007T0oooo1`00000>0?ooo`003@3oool00`000000oooo0?oo o`0U0?ooo`L0000000<0oooo0000000000001@0000060?ooo`L000003`3oool7000002@0oooo1`00 001i0?ooo`L000003P3oool000d0oooo00<000000?ooo`3oool09P3oool5000000<0oooo1@000008 0?ooo`D000004@3oool5000002H0oooo1@00001k0?ooo`D000003`3oool000d0oooo00<000000?oo o`3oool09`3oool2000000L0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0C0?oo o`030000003oool0oooo02P0oooo00<000000?ooo`3oool0O@3oool00`000000oooo0?ooo`0?0?oo o`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000 003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3o ool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0 oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0 oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo 0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<0 00000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V 0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`03 0000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool0 9`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003o ool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool0 00d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000 oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo 00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?oo o`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?oo o`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3o ool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000 003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3o ool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`00 0000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0 oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo 0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000= 0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?oo o`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`03 0000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0 iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool0 0`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo 02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000 oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo 000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<00000 0?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?oo o`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3o ool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3o ool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0 oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`00 0000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0 oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<0 00000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W 0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?oo o`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`00 3@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003o ool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool0 0`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo 0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo 00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?oo o`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<00000 0?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?oo o`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000 003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3o ool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0 oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0 oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo 0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<0 00000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V 0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`03 0000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool0 9`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003o ool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool0 00d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000 oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo 00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?oo o`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?oo o`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3o ool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000 003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3o ool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`00 0000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0 oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo 0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000= 0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?oo o`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`03 0000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0 iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool0 0`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo 02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000 oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo 000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<00000 0?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?oo o`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3o ool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3o ool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0 oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`00 0000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0 oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<0 00000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W 0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?oo o`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`00 3@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003o ool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool0 0`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo 0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo 00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?oo o`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000003oool0oooo02L0oooo00<00000 0?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3V0?oo o`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0>H0oooo000=0?ooo`030000 003oool0oooo02L0oooo00<000000?ooo`3oool0iP3oool000d0oooo00<000000?ooo`3oool09`3o ool00`000000oooo0?ooo`3V0?ooo`003@3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0 oooo0>H0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0 oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo 0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<0 00000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U 0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`03 0000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0 :03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003o ool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool0 00d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000 oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo 00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?oo o`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?oo o`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3o ool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000 003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3o ool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`00 0000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0 oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo 0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000= 0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?oo o`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`03 0000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0 i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool0 0`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo 02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000 oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo 000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<00000 0?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?oo o`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3o ool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3o ool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0 oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`00 0000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0 oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<0 00000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X 0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?oo o`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`00 3@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003o ool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool0 0`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo 0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo 00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?oo o`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<00000 0?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?oo o`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000 003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03o ool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0 oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0 oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo 0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<0 00000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U 0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`03 0000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0 :03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003o ool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool0 00d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000 oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo 00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?oo o`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?oo o`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3o ool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000 003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3o ool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`00 0000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0 oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo 0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000= 0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?oo o`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`03 0000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0 i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool0 0`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo 02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000 oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo 000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<00000 0?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?oo o`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3o ool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3o ool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0 oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`00 0000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0 oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<0 00000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X 0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?oo o`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`00 3@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003o ool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool0 0`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo 0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo 00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?oo o`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<00000 0?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?oo o`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000 003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool0:03o ool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0 oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0i@3oool000d0 oooo00<000000?ooo`3oool0:03oool00`000000oooo0?ooo`3U0?ooo`003@3oool00`000000oooo 0?ooo`0X0?ooo`030000003oool0oooo0>D0oooo000=0?ooo`030000003oool0oooo02P0oooo00<0 00000?ooo`3oool0i@3oool000d0oooo00<000000?ooo`3oool09`3oool2000000H0oooo0`00000: 0?ooo`<000004`3oool2000002P0oooo0`00001n0?ooo`8000004@3oool000d0oooo00<000000?oo o`3oool09@3oool200000080oooo0P0000020?ooo`8000000`3oool2000000H0oooo0P0000030?oo o`8000003`3oool200000080oooo0P00000U0?ooo`040000003oool0oooo0?ooo`800000NP3oool2 00000080oooo0P00000?0?ooo`003@3oool00`000000oooo0?ooo`0U0?ooo`030000003oool0oooo 0080oooo00@000000?ooo`3oool000001@3oool00`000000oooo0?ooo`040?ooo`030000003oool0 oooo00<0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`030?ooo`030000003oool0 oooo0280oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`1h0?ooo`030000003oool0 oooo0080oooo00<000000?ooo`3oool03@3oool000d0oooo00<000000?ooo`3oool0903oool00`00 0000oooo0?ooo`040?ooo`8000001`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo 00D0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo 0240oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`1f0?ooo`030000003oool0oooo 00@0oooo00<000000?ooo`3oool0303oool000d0oooo00<000000?ooo`3oool0903oool00`000000 oooo0?ooo`040?ooo`8000001`3oool6000000L0oooo3P0000070?ooob@000001`3ooomj000000H0 oooo00<000000?ooo`3oool0303oool000d0oooo00<000000?ooo`3oool0903oool00`000000oooo 0?ooo`040?ooo`8000001`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo 00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo0200oooo 00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`1f0?ooo`030000003oool0oooo00@0oooo 00<000000?ooo`3oool0303oool000d0oooo00<000000?ooo`3oool09@3oool00`000000oooo0?oo o`020?ooo`040000003oool0oooo000000D0oooo00<000000?ooo`3oool0103oool00`000000oooo 0?ooo`030?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool00`3oool00`000000oooo 0?ooo`0R0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0N03oool00`000000oooo 0?ooo`020?ooo`030000003oool0oooo00d0oooo000=0?ooo`030000003oool0oooo02D0oooo00@0 00000?ooo`3oool0oooo0P0000020?ooo`8000000`3oool2000000H0oooo0P0000030?ooo`800000 3P3oool2000000<0oooo0P00000T0?ooo`8000000`3oool2000007X0oooo00@000000?ooo`3oool0 oooo0P00000?0?ooo`003@3oool00`000000oooo0?ooo`0V0?ooo`<000001P3oool3000000X0oooo 0`00000B0?ooo`<00000:03oool3000007d0oooo0`00000A0?ooo`003@3oool00`000000oooo0?oo o`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?oo o`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000 003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`00o`3ooolQ 0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ 0?ooo`00o`3ooolQ0?ooo`00S`3oool2000000030?ooo`000000oooo08`0oooo002:0?ooo`<00000 0`3oool00`000000oooo0000002=0?ooo`00S@3oool00`000000oooo00000003000008d0oooo002; 0?ooo`800000T`3oool008X0oooo00<000000?ooo`3oool0T`3oool008/0oooo0`00002B0?ooo`00 \ \>"], ImageRangeCache->{{{0, 287}, {287, 0}} -> {-0.0511412, -0.0253804, 0.00389297, 0.00389297}}], Cell[OutputFormData[ "\<\ Graphics[{{{Line[{{4.166666666666666*^-8, 0.}, {0.04056699157291578, \ 0.}, {0.08480879985937367, 0.}, {0.1263593663385385, 0.}, \ {0.1472821920640583, 0.}, {0.156410219249748, 0.}, {0.1612197549879627, 0.}, {0.163852250073648, \ 0.}, {0.1651401111517623, 0.}, {0.166318407770828, 0.}, \ {0.1675776811101674, 1.}, {0.1689322946899947, 1.}, {0.1718113703472998, 1.}, \ {0.1768826232410472, 1.}, {0.18686905130709, 1.}, {0.2088525908229087, 1.}, {0.2505466650260262, \ 1.}, {0.2906492141822684, 1.}, {0.3333269049583017, 1.}, \ {0.3744130706874596, 1.}, {0.4180743780364087, 1.}, {0.4601441603384825, 1.}, \ {0.5006224175936807, 1.}, {0.5436758164686702, 1.}, {0.5851376902967842, 1.}, \ {0.6250080390780229, 1.}, {0.6674535294790527, 1.}, {0.7083074948332072, 1.}, \ {0.7517366018071528, 1.}, {0.793574183734223, 1.}, {0.8338202406144176, 1.}, \ {0.8766414391144037, 1.}, {0.9178711125675141, 1.}, {0.9575092609737492, 1.}, \ {0.9997225509997754, 1.}, {0.9999999583333332, 1.}}]}}, {PointSize[0.03], {Point[{1, 0}], Point[{1/2, 0}], Point[{1/3, 0}], Point[{1/4, 0}], Point[{1/5, 0}], Point[{1/6, 0}]}}, {GrayLevel[1], {Disk[{1, 1}, 0.015], Disk[{1/2, 1}, 0.015], Disk[{1/3, 1}, \ 0.015], Disk[{1/4, 1}, 0.015], Disk[{1/5, 1}, 0.015], Disk[{1/6, 1}, 0.015]}, GrayLevel[0], {Circle[{1, 1}, 0.015], Circle[{1/2, 1}, 0.015], Circle[{1/3, 1}, 0.015], Circle[{1/4, 1}, 0.015], Circle[{1/5, 1}, \ 0.015], Circle[{1/6, 1}, 0.015]}}}, {PlotLabel -> Subscript[s, n], AspectRatio \ -> 1, Ticks -> False, PlotRange -> Automatic, AspectRatio -> GoldenRatio^(-1), DisplayFunction :> $DisplayFunction, ColorOutput -> Automatic, Axes -> \ Automatic, AxesOrigin -> Automatic, PlotLabel -> None, AxesLabel -> None, Ticks -> \ Automatic, GridLines -> None, Prolog -> {}, Epilog -> {}, AxesStyle -> Automatic, Background -> Automatic, DefaultColor -> Automatic, DefaultFont :> \ $DefaultFont, RotateLabel -> True, Frame -> False, FrameStyle -> Automatic, FrameTicks -> Automatic, FrameLabel -> None, PlotRegion -> Automatic, ImageSize -> Automatic, TextStyle :> $TextStyle, FormatType :> \ $FormatType}]\ \>", "\<\ -Graphics-\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Show[l2, p[6], c[6], PlotLabel -> Subscript[t, n], \ AspectRatio -> 1, \ Ticks -> False]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.938306 0.0192308 0.961538 [ [.5 1.0125 -7.65625 0 ] [.5 1.0125 7.65625 9.8125 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 .01923 m 1 .01923 L s .02381 0 m .02381 1 L s gsave .5 1.0125 -68.6562 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 13.812500 moveto 558.000000 13.812500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 13.812500 lineto closepath clip newpath 63.000000 11.250000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (t) show 69.000000 12.750000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (n) show 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Courier %%DocumentSuppliedFonts: %%DocumentFonts: Courier grestore 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 Mabswid .02381 .98077 m .06187 .98077 L .10339 .98077 L .14237 .98077 L .17987 .98077 L .21978 .98077 L .25819 .98077 L .29903 .98077 L .33837 .98077 L .37621 .98077 L .41648 .98077 L .45524 .98077 L .49252 .98077 L .53221 .98077 L .57041 .98077 L .61103 .98077 L .65015 .98077 L .68778 .98077 L .72782 .98077 L .76637 .98077 L .80734 .98077 L .84682 .98077 L .8848 .98077 L .92519 .98077 L .96212 .98077 L s .03 w .96212 .01923 Mdot .49296 .01923 Mdot .33658 .01923 Mdot .25839 .01923 Mdot .21147 .01923 Mdot .18019 .01923 Mdot 1 g .96212 .98077 m matrix currentmatrix 0.0140746 0.0144231 scale 68.3586 68.0001 1 0 365.73 arc setmatrix F .49296 .98077 m matrix currentmatrix 0.0140746 0.0144231 scale 35.0248 68.0001 1 0 365.73 arc setmatrix F .33658 .98077 m matrix currentmatrix 0.0140746 0.0144231 scale 23.914 68.0001 1 0 365.73 arc setmatrix F .25839 .98077 m matrix currentmatrix 0.0140746 0.0144231 scale 18.3586 68.0001 1 0 365.73 arc setmatrix F .21147 .98077 m matrix currentmatrix 0.0140746 0.0144231 scale 15.0249 68.0001 1 0 365.73 arc setmatrix F .18019 .98077 m matrix currentmatrix 0.0140746 0.0144231 scale 12.8025 68.0001 1 0 365.73 arc setmatrix F 0 g .5 Mabswid newpath matrix currentmatrix 0.0140746 0.0144231 scale 68.3586 68.0001 1 0 365.73 arc setmatrix s newpath matrix currentmatrix 0.0140746 0.0144231 scale 35.0248 68.0001 1 0 365.73 arc setmatrix s newpath matrix currentmatrix 0.0140746 0.0144231 scale 23.914 68.0001 1 0 365.73 arc setmatrix s newpath matrix currentmatrix 0.0140746 0.0144231 scale 18.3586 68.0001 1 0 365.73 arc setmatrix s newpath matrix currentmatrix 0.0140746 0.0144231 scale 15.0249 68.0001 1 0 365.73 arc setmatrix s newpath matrix currentmatrix 0.0140746 0.0144231 scale 12.8025 68.0001 1 0 365.73 arc setmatrix s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 288}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`003@3oool00`000000oooo0?ooo`0T 0?oooa0000001@3oool8000000h0oooo2000000S0?ooo`P00000N03oool8000000h0oooo00060?oo ool00000500000070?ooo`003@3oool00`000000oooo0?ooo`0U0?ooo`L0000000<0oooo00000000 00001@0000060?ooo`L000003`3oool7000002@0oooo1`00001i0?ooo`L000003P3oool000d0oooo 00<000000?ooo`3oool09P3oool5000000<0oooo1@0000080?ooo`D000004@3oool5000002H0oooo 1@00001k0?ooo`D000003`3oool000d0oooo00<000000?ooo`3oool0:03oool00`000000oooo0?oo o`050?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool04`3oool00`000000oooo0?oo o`0X0?ooo`030000003oool0oooo07d0oooo00<000000?ooo`3oool03`3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`03 0000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3o ool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool0 00d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40 oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3o oolA0?ooo`003@3oool00`000000oooo0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo 0?l0oooo4@3oool000d0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`003@3oool00`000000oooo 0?ooo`3o0?oooa40oooo000=0?ooo`030000003oool0oooo0?l0oooo4@3oool000d0oooo00<00000 0?ooo`3oool09`3oool2000000H0oooo0`00000:0?ooo`<000004`3oool2000002P0oooo0`00001n 0?ooo`8000004@3oool000d0oooo00<000000?ooo`3oool09@3oool200000080oooo0P0000020?oo o`8000000`3oool2000000H0oooo0P0000030?ooo`8000003`3oool200000080oooo0P00000U0?oo o`040000003oool0oooo0?ooo`800000NP3oool200000080oooo0P00000?0?ooo`003@3oool00`00 0000oooo0?ooo`0U0?ooo`030000003oool0oooo0080oooo00@000000?ooo`3oool000001@3oool0 0`000000oooo0?ooo`040?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0303oool0 0`000000oooo0?ooo`030?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`1h0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool03@3oool0 00d0oooo00<000000?ooo`3oool0903oool00`000000oooo0?ooo`040?ooo`8000001`3oool00`00 0000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool02`3oool00`00 0000oooo0?ooo`040?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool0103oool00`00 0000oooo0?ooo`1f0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0303oool000d0 oooo:00000060?ooo`8000001`3oool6000000L0oooo3P0000070?ooob@000001`3ooomj000000H0 oooo00<000000?ooo`3oool0303oool000d0oooo00<000000?ooo`3oool0903oool00`000000oooo 0?ooo`040?ooo`8000001`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo 00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo0200oooo 00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`1f0?ooo`030000003oool0oooo00@0oooo 00<000000?ooo`3oool0303oool000d0oooo00<000000?ooo`3oool09@3oool00`000000oooo0?oo o`020?ooo`040000003oool0oooo000000D0oooo00<000000?ooo`3oool0103oool00`000000oooo 0?ooo`030?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool00`3oool00`000000oooo 0?ooo`0R0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0N03oool00`000000oooo 0?ooo`020?ooo`030000003oool0oooo00d0oooo000=0?ooo`030000003oool0oooo02D0oooo00@0 00000?ooo`3oool0oooo0P0000020?ooo`8000000`3oool2000000H0oooo0P0000030?ooo`800000 3P3oool2000000<0oooo0P00000T0?ooo`8000000`3oool2000007X0oooo00@000000?ooo`3oool0 oooo0P00000?0?ooo`003@3oool00`000000oooo0?ooo`0V0?ooo`<000001P3oool3000000X0oooo 0`00000B0?ooo`<00000:03oool3000007d0oooo0`00000A0?ooo`003@3oool00`000000oooo0?oo o`3o0?oooa40oooo003o0?ooob40oooo003o0?ooob40oooo003o0?ooob40oooo003o0?ooob40oooo 003o0?ooob40oooo003o0?ooob40oooo003o0?ooob40oooo002?0?ooo`80000000<0oooo0000003o ool0S03oool008`0oooo0P0000020?ooo`030000003oool0000008d0oooo002;0?ooo`030000003o ool0oooo00D00000S@3oool008/0oooo00<000000?ooo`3oool0TP3oool008/0oooo00<000000?oo o`3oool0TP3oool008X0oooo1000002B0?ooo`00\ \>"], ImageRangeCache->{{{0, 287}, {287, 0}} -> {-0.0511412, -0.0200053, 0.00389297, 0.00379891}}], Cell[OutputFormData[ "\<\ Graphics[{{{Line[{{4.166666666666666*^-8, 1.}, {0.04056699157291578, \ 1.}, {0.08480879985937367, 1.}, {0.1263593663385385, 1.}, \ {0.166318407770828, 1.}, {0.2088525908229087, 1.}, {0.249795248828114, 1.}, \ {0.2933130484531105, 1.}, {0.3352393230312316, 1.}, {0.3755740725624772, 1.}, \ {0.4184839637135141, 1.}, {0.4598023298176755, 1.}, {0.4995291708749615, 1.}, \ {0.5418311535520388, 1.}, {0.5825416111822406, 1.}, {0.6258272104322335, 1.}, \ {0.667521284635351, 1.}, {0.7076238337915931, 1.}, {0.7503015245676265, 1.}, \ {0.7913876902967844, 1.}, {0.8350489976457335, 1.}, {0.8771187799478072, 1.}, \ {0.9175970372030056, 1.}, {0.960650436077995, 1.}, {0.9999999583333332, 1.}}]}}, {PointSize[0.03], {Point[{1, 0}], Point[{1/2, 0}], Point[{1/3, 0}], Point[{1/4, 0}], Point[{1/5, 0}], Point[{1/6, 0}]}}, {GrayLevel[1], {Disk[{1, 1}, 0.015], Disk[{1/2, 1}, 0.015], Disk[{1/3, 1}, \ 0.015], Disk[{1/4, 1}, 0.015], Disk[{1/5, 1}, 0.015], Disk[{1/6, 1}, 0.015]}, GrayLevel[0], {Circle[{1, 1}, 0.015], Circle[{1/2, 1}, 0.015], Circle[{1/3, 1}, 0.015], Circle[{1/4, 1}, 0.015], Circle[{1/5, 1}, \ 0.015], Circle[{1/6, 1}, 0.015]}}}, {PlotLabel -> Subscript[t, n], AspectRatio \ -> 1, Ticks -> False, PlotRange -> {-0.02, 1.02}, AspectRatio -> \ GoldenRatio^(-1), DisplayFunction :> $DisplayFunction, ColorOutput -> Automatic, Axes -> \ Automatic, AxesOrigin -> Automatic, PlotLabel -> None, AxesLabel -> None, Ticks -> \ Automatic, GridLines -> None, Prolog -> {}, Epilog -> {}, AxesStyle -> Automatic, Background -> Automatic, DefaultColor -> Automatic, DefaultFont :> \ $DefaultFont, RotateLabel -> True, Frame -> False, FrameStyle -> Automatic, FrameTicks -> Automatic, FrameLabel -> None, PlotRegion -> Automatic, ImageSize -> Automatic, TextStyle :> $TextStyle, FormatType :> \ $FormatType}]\ \>", "\<\ -Graphics-\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(b6\ = \ Sum[1/\((6 + k)\), \ {k, 1, 6}] // N\)], "Input"], Cell[OutputFormData["\<\ 0.6532106782106782\ \>", "\<\ 0.653211\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(e6\ = \ 1/\((2\ 6)\) // N\)], "Input"], Cell[OutputFormData["\<\ 0.08333333333333332\ \>", "\<\ 0.0833333\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(a6\ = \ b6\ + \ e6/2\)], "Input"], Cell[OutputFormData["\<\ 0.6948773448773448\ \>", "\<\ 0.694877\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(c6\ = \ b6\ + \ e6\)], "Input"], Cell[OutputFormData["\<\ 0.7365440115440115\ \>", "\<\ 0.736544\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Log[2] // N\)], "Input"], Cell[OutputFormData["\<\ 0.6931471805599453\ \>", "\<\ 0.693147\ \>"], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(%\ - \ a6\)], "Input"], Cell[OutputFormData["\<\ -0.001730164317399585\ \>", "\<\ -0.00173016\ \>"], "Output"] }, Open ]], Cell[BoxData[ \(\.11\)], "Input"] }, FrontEndVersion->"X 3.0", ScreenRectangle->{{0, 1024}, {0, 768}}, WindowSize->{694, 627}, WindowMargins->{{141, Automatic}, {13, Automatic}} ] (*********************************************************************** 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[1709, 49, 128, 3, 27, "Input"], Cell[CellGroupData[{ Cell[1862, 56, 73, 1, 27, "Input"], Cell[1938, 59, 18033, 422, 186, 3449, 237, "GraphicsData", "PostScript", "Graphics"], Cell[19974, 483, 1751, 41, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[21762, 529, 90, 1, 27, "Input"], Cell[21855, 532, 14611, 370, 186, 3302, 226, "GraphicsData", "PostScript", "Graphics"], Cell[36469, 904, 1435, 33, 25, "Output"] }, Open ]], Cell[37919, 940, 199, 4, 43, "Input"], Cell[CellGroupData[{ Cell[38143, 948, 127, 2, 27, "Input"], Cell[38273, 952, 22881, 422, 296, 2957, 171, "GraphicsData", "PostScript", "Graphics"], Cell[61157, 1376, 2312, 51, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[63506, 1432, 128, 2, 27, "Input"], Cell[63637, 1436, 18288, 372, 296, 3427, 184, "GraphicsData", "PostScript", "Graphics"], Cell[81928, 1810, 1994, 44, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[83959, 1859, 78, 1, 27, "Input"], Cell[84040, 1862, 81, 5, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[84158, 1872, 59, 1, 27, "Input"], Cell[84220, 1875, 83, 5, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[84340, 1885, 55, 1, 27, "Input"], Cell[84398, 1888, 81, 5, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[84516, 1898, 53, 1, 27, "Input"], Cell[84572, 1901, 81, 5, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[84690, 1911, 44, 1, 27, "Input"], Cell[84737, 1914, 81, 5, 25, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[84855, 1924, 43, 1, 27, "Input"], Cell[84901, 1927, 87, 5, 25, "Output"] }, Open ]], Cell[85003, 1935, 37, 1, 27, "Input"] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)