(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 4.0, MathReader 4.0, or any compatible application. 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[ 53076, 1217]*) (*NotebookOutlinePosition[ 53920, 1244]*) (* CellTagsIndexPosition[ 53876, 1240]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[BoxData[ \(\(\( (*\ data\ for\ multiple\ point\ curve\ programs\ *) \)\(\[IndentingNewLine]\ \)\(P = {{0, 0}, {1, 1}, {2, 0.5}, {3, 0}, {4, \(-0.5\)}, {5, 0.5}, {6, 0}, {7, 1}, {8, 1}, {9, 0}}\)\)\)], "Input"], Cell[BoxData[ FormBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0", "0"}, {"1", "1"}, {"2", "0.5`"}, {"3", "0"}, {"4", \(-0.5`\)}, {"5", "0.5`"}, {"6", "0"}, {"7", "1"}, {"8", "1"}, {"9", "0"} }, ColumnAlignments->{Decimal}], "\[NoBreak]", ")"}], TraditionalForm]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Show[Graphics[Line[P]], Axes \[Rule] True]\)], "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 0.10582 0.210916 0.392403 [ [.23545 .19842 -3 -9 ] [.23545 .19842 3 0 ] [.44709 .19842 -3 -9 ] [.44709 .19842 3 0 ] [.65873 .19842 -3 -9 ] [.65873 .19842 3 0 ] [.87037 .19842 -3 -9 ] [.87037 .19842 3 0 ] [.01131 .05396 -24 -4.5 ] [.01131 .05396 0 4.5 ] [.01131 .13244 -24 -4.5 ] [.01131 .13244 0 4.5 ] [.01131 .2894 -18 -4.5 ] [.01131 .2894 0 4.5 ] [.01131 .36788 -18 -4.5 ] [.01131 .36788 0 4.5 ] [.01131 .44636 -18 -4.5 ] [.01131 .44636 0 4.5 ] [.01131 .52484 -18 -4.5 ] [.01131 .52484 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 .23545 .21092 m .23545 .21717 L s [(2)] .23545 .19842 0 1 Mshowa .44709 .21092 m .44709 .21717 L s [(4)] .44709 .19842 0 1 Mshowa .65873 .21092 m .65873 .21717 L s [(6)] .65873 .19842 0 1 Mshowa .87037 .21092 m .87037 .21717 L s [(8)] .87037 .19842 0 1 Mshowa .125 Mabswid .07672 .21092 m .07672 .21467 L s .12963 .21092 m .12963 .21467 L s .18254 .21092 m .18254 .21467 L s .28836 .21092 m .28836 .21467 L s .34127 .21092 m .34127 .21467 L s .39418 .21092 m .39418 .21467 L s .5 .21092 m .5 .21467 L s .55291 .21092 m .55291 .21467 L s .60582 .21092 m .60582 .21467 L s .71164 .21092 m .71164 .21467 L s .76455 .21092 m .76455 .21467 L s .81746 .21092 m .81746 .21467 L s .92328 .21092 m .92328 .21467 L s .97619 .21092 m .97619 .21467 L s .25 Mabswid 0 .21092 m 1 .21092 L s .02381 .05396 m .03006 .05396 L s [(-0.4)] .01131 .05396 1 0 Mshowa .02381 .13244 m .03006 .13244 L s [(-0.2)] .01131 .13244 1 0 Mshowa .02381 .2894 m .03006 .2894 L s [(0.2)] .01131 .2894 1 0 Mshowa .02381 .36788 m .03006 .36788 L s [(0.4)] .01131 .36788 1 0 Mshowa .02381 .44636 m .03006 .44636 L s [(0.6)] .01131 .44636 1 0 Mshowa .02381 .52484 m .03006 .52484 L s [(0.8)] .01131 .52484 1 0 Mshowa .02381 .60332 m .03006 .60332 L s [(1)] .01131 .60332 1 0 Mshowa .125 Mabswid .02381 .07358 m .02756 .07358 L s .02381 .0932 m .02756 .0932 L s .02381 .11282 m .02756 .11282 L s .02381 .15206 m .02756 .15206 L s .02381 .17168 m .02756 .17168 L s .02381 .1913 m .02756 .1913 L s .02381 .23054 m .02756 .23054 L s .02381 .25016 m .02756 .25016 L s .02381 .26978 m .02756 .26978 L s .02381 .30902 m .02756 .30902 L s .02381 .32864 m .02756 .32864 L s .02381 .34826 m .02756 .34826 L s .02381 .3875 m .02756 .3875 L s .02381 .40712 m .02756 .40712 L s .02381 .42674 m .02756 .42674 L s .02381 .46598 m .02756 .46598 L s .02381 .4856 m .02756 .4856 L s .02381 .50522 m .02756 .50522 L s .02381 .54446 m .02756 .54446 L s .02381 .56408 m .02756 .56408 L s .02381 .5837 m .02756 .5837 L s .02381 .03434 m .02756 .03434 L s .02381 .01472 m .02756 .01472 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 .21092 m .12963 .60332 L .23545 .40712 L .34127 .21092 L .44709 .01472 L .55291 .40712 L .65873 .21092 L .76455 .60332 L .87037 .60332 L .97619 .21092 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]HGAYHf4PAg9QL6QYHg0?ooo`006`3oool2000006H0oooo00<000000?ooo`3o ool02@3oool00`000000oooo0?ooo`2>0?ooo`006`3oool00`000000oooo0?ooo`1T0?ooo`030000 003oool0oooo00/0oooo00<000000?ooo`3oool0S@3oool001/0oooo00<000000?ooo`3oool0I03o ool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo08d0oooo000K0?ooo`030000003oool0 oooo06<0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`2=0?ooo`006`3oool00`00 0000oooo0?ooo`1S0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0S@3oool001/0 oooo0P00001S0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0S03oool001/0oooo 00<000000?ooo`3oool0HP3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo08`0oooo 000K0?ooo`030000003oool0oooo0640oooo00<000000?ooo`3oool03`3oool00`000000oooo0?oo o`2<0?ooo`006`3oool00`000000oooo0?ooo`1Q0?ooo`030000003oool0oooo00l0oooo00<00000 0?ooo`3oool0S03oool001/0oooo00<000000?ooo`3oool0H03oool00`000000oooo0?ooo`0A0?oo o`030000003oool0oooo08/0oooo000K0?ooo`030000003oool0oooo0600oooo00<000000?ooo`3o ool04@3oool00`000000oooo0?ooo`2;0?ooo`006`3oool200000600oooo00<000000?ooo`3oool0 4P3oool00`000000oooo0?ooo`2;0?ooo`006`3oool00`000000oooo0?ooo`1N0?ooo`030000003o ool0oooo01@0oooo00<000000?ooo`3oool0RP3oool000P0oooo0P0000040?ooo`040000003oool0 oooo0?ooo`D00000103oool00`000000oooo0?ooo`1N0?ooo`030000003oool0oooo01@0oooo00<0 00000?ooo`3oool0RP3oool000L0oooo00@000000?ooo`3oool00000203oool010000000oooo0?oo o`0000040?ooo`030000003oool0oooo05d0oooo00<000000?ooo`3oool05@3oool00`000000oooo 0?ooo`2:0?ooo`001@0000020?ooo`040000003oool0oooo000000T0oooo00<000000?ooo`3oool0 103oool00`000000oooo0?ooo`1M0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 RP3oool000L0oooo00@000000?ooo`3oool000002P3oool00`000000oooo0?ooo`030?ooo`800000 G@3oool00`000000oooo0?ooo`0G0?ooo`030000003oool0oooo08T0oooo00070?ooo`040000003o ool0oooo000000L0oooo00D000000?ooo`3oool0oooo000000040?ooo`030000003oool0oooo05`0 oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`290?ooo`001`3oool010000000oooo 0?ooo`0000070?ooo`050000003oool0oooo0?ooo`000000103oool00`000000oooo0?ooo`1K0?oo o`030000003oool0oooo01P0oooo00<000000?ooo`3oool0R@3oool000P0oooo0P0000090?ooo`<0 00001@3oool00`000000oooo0?ooo`1K0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3o ool0R03oool001/0oooo00<000000?ooo`3oool0FP3oool00`000000oooo0?ooo`0J0?ooo`030000 003oool0oooo08P0oooo000K0?ooo`800000F`3oool00`000000oooo0?ooo`0J0?ooo`030000003o ool0oooo08P0oooo000K0?ooo`030000003oool0oooo05T0oooo00<000000?ooo`3oool06`3oool0 0`000000oooo0?ooo`280?ooo`006`3oool00`000000oooo0?ooo`1I0?ooo`030000003oool0oooo 01`0oooo00<000000?ooo`3oool0Q`3oool001/0oooo00<000000?ooo`3oool0F03oool00`000000 oooo0?ooo`0M0?ooo`030000003oool0oooo08L0oooo000K0?ooo`030000003oool0oooo0380oooo 1@00000Q0?ooo`030000003oool0oooo0140oooo0`0000090?ooo`030000003oool0oooo02T0oooo 0`00000e0?ooo`<000008`3oool001/0oooo0P00000d0?ooo`040000003oool0oooo00000200oooo 00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo02P0oooo 00D000000?ooo`3oool0oooo0000000c0?ooo`050000003oool0oooo0?ooo`0000008P3oool001/0 oooo00<000000?ooo`3oool0=03oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo0100 oooo1@00000:0?ooo`030000003oool0oooo02L0oooo00D000000?ooo`3oool0oooo0000000c0?oo o`050000003oool0oooo0?ooo`0000008P3oool001/0oooo00<000000?ooo`3oool0=@3oool00`00 0000oooo0?ooo`0N0?ooo`030000003oool0oooo0140oooo00@000000?ooo`3oool000002`3oool0 0`000000oooo0?ooo`0W0?ooo`@00000=@3oool3000002<0oooo000K0?ooo`030000003oool0oooo 0380oooo00D000000?ooo`3oool0oooo0000000N0?ooo`030000003oool0oooo01<0oooo00<00000 0?ooo`0000002`3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo03D0oooo00D00000 0?ooo`3oool0oooo0000000R0?ooo`006`3oool00`000000oooo0?ooo`0b0?ooo`050000003oool0 oooo0?ooo`0000007P3oool00`000000oooo0?ooo`0D0?ooo`800000303oool00`000000oooo0?oo o`0W0?ooo`030000003oool0oooo03@0oooo00D000000?ooo`3oool0oooo0000000R0?ooo`006`3o ool2000003@0oooo0`00000N0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool02P3o ool00`000000oooo0?ooo`0X0?ooo`800000=@3oool3000002<0oooo000K0?ooo`030000003oool0 oooo05@0oooo00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`250?ooo`006`3oool00`00 0000oooo0?ooo`1C0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3oool0Q@3oool001/0 oooo00<000000?ooo`3oool0D`3oool00`000000oooo0?ooo`0U0?ooo`030000003oool0oooo08@0 oooo000K0?ooo`030000003oool0oooo0580oooo00<000000?ooo`3oool09P3oool00`000000oooo 0?ooo`240?ooo`006`3oool00`000000oooo0?ooo`1B0?ooo`030000003oool0oooo02H0oooo00<0 00000?ooo`3oool0Q03oool001@0ooooo`00000=000000006`3oool00`000000oooo0?ooo`0;0?oo o`030000003oool0oooo00/0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0;0?oo o`030000003oool0oooo00/0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0;0?oo o`030000003oool0oooo00/0oooo00<000000?ooo`3oool02`3oool2000000d0oooo00<000000?oo o`3oool02`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00/0oooo00<000000?oo o`3oool02`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00/0oooo00<000000?oo o`3oool02`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo00D0oooo000K0?ooo`03 0000003oool0oooo0500oooo00<000000?ooo`3oool0:@3oool00`000000oooo0?ooo`0V0?ooo`80 0000D`3oool00`000000oooo0?ooo`050?ooo`006`3oool200000540oooo00<000000?ooo`3oool0 :@3oool00`000000oooo0?ooo`0V0?ooo`030000003oool000000540oooo00<000000?ooo`3oool0 1P3oool001/0oooo0P00001@0?ooo`030000003oool0oooo02/0oooo00<000000?ooo`3oool0903o ool010000000oooo0?ooo`00001A0?ooo`030000003oool0oooo00H0oooo000K0?ooo`800000D03o ool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo02@0oooo00@000000?ooo`3oool00000 D@3oool00`000000oooo0?ooo`060?ooo`006`3oool2000004l0oooo00<000000?ooo`3oool0;03o ool00`000000oooo0?ooo`0S0?ooo`050000003oool0oooo0?ooo`000000D@3oool00`000000oooo 0?ooo`060?ooo`006`3oool00`000000oooo0000001=0?ooo`030000003oool0oooo02d0oooo00<0 00000?ooo`3oool08P3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo04d0oooo00<0 00000?ooo`3oool01`3oool001/0oooo00<000000?ooo`000000C@3oool00`000000oooo0?ooo`0^ 0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`1= 0?ooo`030000003oool0oooo00L0oooo000K0?ooo`030000003oool0000004`0oooo00<000000?oo o`3oool0;`3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo00@0oooo00<000000?oo o`3oool0C@3oool00`000000oooo0?ooo`070?ooo`006`3oool2000000030?ooo`000000oooo04X0 oooo00<000000?ooo`3oool0;`3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo00D0 oooo00<000000?ooo`3oool0B`3oool00`000000oooo0?ooo`080?ooo`006`3oool010000000oooo 0?ooo`00001:0?ooo`030000003oool0oooo0340oooo00<000000?ooo`3oool07P3oool00`000000 oooo0?ooo`060?ooo`030000003oool0oooo04/0oooo00<000000?ooo`3oool0203oool001/0oooo 00@000000?ooo`3oool00000BP3oool00`000000oooo0?ooo`0a0?ooo`030000003oool0oooo01h0 oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`1;0?ooo`030000003oool0oooo00P0 oooo000K0?ooo`040000003oool0oooo000004T0oooo00<000000?ooo`3oool003oool00`000000oooo0?ooo`0G0?ooo`030000003oool0oooo00d0 oooo00<000000?ooo`3oool0A`3oool00`000000oooo0?ooo`0:0?ooo`001`3oool010000000oooo 0?ooo`00000:0?ooo`030000003oool0oooo00<0oooo0P0000040?ooo`030000003oool0oooo0400 oooo00<000000?ooo`3oool0>03oool00`000000oooo0?ooo`0G0?ooo`030000003oool0oooo00h0 oooo00<000000?ooo`3oool0A@3oool00`000000oooo0?ooo`0;0?ooo`001`3oool010000000oooo 0?ooo`0000070?ooo`050000003oool0oooo0?ooo`000000103oool00`000000oooo0?ooo`030?oo o`030000003oool0oooo03l0oooo00<000000?ooo`3oool0>P3oool00`000000oooo0?ooo`0E0?oo o`030000003oool0oooo00l0oooo00<000000?ooo`3oool0A@3oool00`000000oooo0?ooo`0;0?oo o`001`3oool010000000oooo0?ooo`0000070?ooo`050000003oool0oooo0?ooo`000000103oool0 0`000000oooo0?ooo`030?ooo`030000003oool0oooo03l0oooo00<000000?ooo`3oool0>P3oool0 0`000000oooo0?ooo`0E0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool0A@3oool0 0`000000oooo0?ooo`0;0?ooo`00203oool2000000T0oooo0`0000050?ooo`030000003oool0oooo 00<0oooo00<000000?ooo`3oool0?P3oool00`000000oooo0?ooo`0k0?ooo`030000003oool0oooo 01@0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`150?ooo`030000003oool0oooo 00/0oooo000K0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0?@3oool00`000000 oooo0?ooo`0k0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool04@3oool00`000000 oooo0?ooo`130?ooo`030000003oool0oooo00`0oooo000K0?ooo`8000001@3oool00`000000oooo 0?ooo`0l0?ooo`030000003oool0oooo03d0oooo00<000000?ooo`3oool04P3oool00`000000oooo 0?ooo`0B0?ooo`030000003oool0oooo04<0oooo00<000000?ooo`3oool0303oool001/0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`0l0?ooo`030000003oool0oooo03d0oooo00<0 00000?ooo`3oool04P3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo04<0oooo00<0 00000?ooo`3oool0303oool001/0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0k 0?ooo`030000003oool0oooo03h0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0C 0?ooo`030000003oool0oooo04<0oooo00<000000?ooo`3oool0303oool001/0oooo00<000000?oo o`3oool01@3oool00`000000oooo0?ooo`0j0?ooo`030000003oool0oooo03l0oooo00<000000?oo o`3oool0403oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo0440oooo00<000000?oo o`3oool03@3oool001/0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0i0?ooo`03 0000003oool0oooo0400oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0E0?ooo`03 0000003oool0oooo0440oooo00<000000?ooo`3oool03@3oool001/0oooo0P0000060?ooo`030000 003oool0oooo03T0oooo00<000000?ooo`3oool0@03oool00`000000oooo0?ooo`0?0?ooo`030000 003oool0oooo01D0oooo00<000000?ooo`3oool0@@3oool00`000000oooo0?ooo`0=0?ooo`006`3o ool00`000000oooo0?ooo`050?ooo`030000003oool0oooo03P0oooo00<000000?ooo`3oool0@@3o ool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0@@3o ool00`000000oooo0?ooo`0=0?ooo`006`3oool00`000000oooo0?ooo`060?ooo`030000003oool0 oooo03H0oooo00<000000?ooo`3oool0@`3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0 oooo01P0oooo00<000000?ooo`3oool0?`3oool00`000000oooo0?ooo`0>0?ooo`006`3oool00`00 0000oooo0?ooo`060?ooo`030000003oool0oooo03H0oooo00<000000?ooo`3oool0@`3oool00`00 0000oooo0?ooo`0<0?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3oool0?`3oool00`00 0000oooo0?ooo`0>0?ooo`006`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo03D0 oooo00<000000?ooo`3oool0A03oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo01T0 oooo00<000000?ooo`3oool0?`3oool00`000000oooo0?ooo`0>0?ooo`006`3oool2000000P0oooo 00<000000?ooo`3oool0=03oool00`000000oooo0?ooo`140?ooo`030000003oool0oooo00/0oooo 00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`0m0?ooo`030000003oool0oooo00l0oooo 000K0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0<`3oool00`000000oooo0?oo o`160?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?oo o`0m0?ooo`030000003oool0oooo00l0oooo000K0?ooo`030000003oool0oooo00L0oooo00<00000 0?ooo`3oool0<`3oool00`000000oooo0?ooo`160?ooo`030000003oool0oooo00T0oooo00<00000 0?ooo`3oool06`3oool00`000000oooo0?ooo`0m0?ooo`030000003oool0oooo00l0oooo00080?oo o`800000103oool00`000000oooo0?ooo`030?ooo`<00000103oool00`000000oooo0?ooo`070?oo o`030000003oool0oooo0380oooo00<000000?ooo`3oool0A`3oool00`000000oooo0?ooo`080?oo o`030000003oool0oooo01`0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`0?0?oo o`001`3oool010000000oooo0?ooo`00000:0?ooo`030000003oool0oooo00<0oooo00<000000?oo o`3oool0203oool00`000000oooo0?ooo`0a0?ooo`030000003oool0oooo04P0oooo00<000000?oo o`3oool01`3oool00`000000oooo0?ooo`0M0?ooo`030000003oool0oooo03/0oooo00<000000?oo o`3oool0403oool000L0oooo00@000000?ooo`3oool000001`3oool5000000@0oooo0P0000090?oo o`030000003oool0oooo0300oooo00<000000?ooo`3oool0B@3oool00`000000oooo0?ooo`060?oo o`030000003oool0oooo01h0oooo00<000000?ooo`3oool0>`3oool00`000000oooo0?ooo`0@0?oo o`001`3oool010000000oooo0?ooo`0000070?ooo`040000003oool0oooo000000D0oooo00<00000 0?ooo`3oool0203oool00`000000oooo0?ooo`0`0?ooo`030000003oool0oooo04T0oooo00<00000 0?ooo`3oool01P3oool00`000000oooo0?ooo`0N0?ooo`030000003oool0oooo03/0oooo00<00000 0?ooo`3oool0403oool000L0oooo00@000000?ooo`3oool00000203oool00`000000oooo00000005 0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0;`3oool00`000000oooo0?ooo`1: 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool07`3oool00`000000oooo0?ooo`0k 0?ooo`030000003oool0oooo0100oooo00070?ooo`040000003oool0oooo000000T0oooo0P000005 0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`1; 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0803oool00`000000oooo0?ooo`0i 0?ooo`030000003oool0oooo0140oooo00080?ooo`8000002`3oool00`000000oooo0?ooo`030?oo o`030000003oool0oooo00T0oooo00<000000?ooo`3oool0;@3oool00`000000oooo0?ooo`1<0?oo o`030000003oool0oooo00<0oooo00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`0i0?oo o`030000003oool0oooo0140oooo000K0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3o ool0;03oool00`000000oooo0?ooo`1=0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3o ool08P3oool00`000000oooo0?ooo`0i0?ooo`030000003oool0oooo0140oooo000K0?ooo`800000 2`3oool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo04d0oooo00<000000?ooo`3oool0 0P3oool00`000000oooo0?ooo`0S0?ooo`030000003oool0oooo03L0oooo00<000000?ooo`3oool0 4P3oool001/0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0Z0?ooo`030000003o ool0oooo04l0oooo00@000000?ooo`3oool000009P3oool00`000000oooo0?ooo`0g0?ooo`030000 003oool0oooo0180oooo000K0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0:P3o ool00`000000oooo0?ooo`1?0?ooo`040000003oool0oooo000002H0oooo00<000000?ooo`3oool0 =`3oool00`000000oooo0?ooo`0B0?ooo`006`3oool00`000000oooo0?ooo`0:0?ooo`030000003o ool0oooo02T0oooo00<000000?ooo`3oool0D03oool00`000000oooo0000000W0?ooo`030000003o ool0oooo03L0oooo00<000000?ooo`3oool04P3oool001/0oooo00<000000?ooo`3oool02`3oool0 0`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0540oooo0P00000X0?ooo`030000003oool0 oooo03D0oooo00<000000?ooo`3oool04`3oool001/0oooo0P00000<0?ooo`030000003oool0oooo 02L0oooo00<000000?ooo`3oool0DP3oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo 03D0oooo00<000000?ooo`3oool04`3oool001/0oooo00<000000?ooo`3oool02`3oool00`000000 oooo0?ooo`0W0?ooo`030000003oool0oooo07`0oooo00<000000?ooo`3oool0=@3oool00`000000 oooo0?ooo`0C0?ooo`006`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo02H0oooo 00<000000?ooo`3oool0O@3oool00`000000oooo0?ooo`0e0?ooo`030000003oool0oooo01<0oooo 000K0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool09@3oool00`000000oooo0?oo o`1n0?ooo`030000003oool0oooo03<0oooo00<000000?ooo`3oool0503oool001/0oooo00<00000 0?ooo`3oool0303oool00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo07l0oooo00<00000 0?ooo`3oool0<`3oool00`000000oooo0?ooo`0D0?ooo`006`3oool2000000d0oooo00<000000?oo o`3oool0903oool00`000000oooo0?ooo`1o0?ooo`030000003oool0oooo03<0oooo00<000000?oo o`3oool0503oool001/0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0S0?ooo`03 0000003oool0oooo0800oooo00<000000?ooo`3oool0<`3oool00`000000oooo0?ooo`0D0?ooo`00 6`3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool0 PP3oool00`000000oooo0?ooo`0a0?ooo`030000003oool0oooo01D0oooo00080?ooo`800000103o ool00`000000oooo0?ooo`020?ooo`<000001@3oool00`000000oooo0?ooo`0=0?ooo`030000003o ool0oooo0240oooo00<000000?ooo`3oool0PP3oool00`000000oooo0?ooo`0a0?ooo`030000003o ool0oooo01D0oooo00070?ooo`040000003oool0oooo000000L0oooo00D000000?ooo`3oool0oooo 000000040?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0803oool00`000000oooo 0?ooo`230?ooo`030000003oool0oooo0340oooo00<000000?ooo`3oool05@3oool000L0oooo00@0 00000?ooo`3oool000001`3oool01@000000oooo0?ooo`3oool0000000@0oooo0P00000?0?ooo`03 0000003oool0oooo01l0oooo00<000000?ooo`3oool0Q03oool00`000000oooo0?ooo`0_0?ooo`03 0000003oool0oooo01H0oooo00070?ooo`040000003oool0oooo000000L0oooo100000050?ooo`03 0000003oool0oooo00h0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`250?ooo`03 0000003oool0oooo02l0oooo00<000000?ooo`3oool05P3oool000L0oooo00@000000?ooo`3oool0 00001`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3o ool07P3oool00`000000oooo0?ooo`250?ooo`030000003oool0oooo02l0oooo00<000000?ooo`3o ool05P3oool000L0oooo00@000000?ooo`3oool00000203oool00`000000oooo0?ooo`050?ooo`03 0000003oool0oooo00h0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`260?ooo`03 0000003oool0oooo02l0oooo00<000000?ooo`3oool05P3oool000P0oooo0P00000:0?ooo`800000 1@3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0 Q`3oool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo01L0oooo000K0?ooo`800000403o ool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo08P0oooo00<000000?ooo`3oool0;@3o ool00`000000oooo0?ooo`0G0?ooo`006`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0 oooo01/0oooo00<000000?ooo`3oool0R03oool00`000000oooo0?ooo`0]0?ooo`030000003oool0 oooo01L0oooo000K0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool06P3oool00`00 0000oooo0?ooo`290?ooo`030000003oool0oooo02d0oooo00<000000?ooo`3oool05`3oool001/0 oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo08X0 oooo00<000000?ooo`3oool0:`3oool00`000000oooo0?ooo`0H0?ooo`006`3oool00`000000oooo 0?ooo`0@0?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3oool0R`3oool00`000000oooo 0?ooo`0[0?ooo`030000003oool0oooo01P0oooo000K0?ooo`030000003oool0oooo0100oooo00<0 00000?ooo`3oool05`3oool00`000000oooo0?ooo`2<0?ooo`030000003oool0oooo02/0oooo00<0 00000?ooo`3oool0603oool001/0oooo0P00000B0?ooo`030000003oool0oooo01H0oooo00<00000 0?ooo`3oool0S@3oool00`000000oooo0?ooo`0Y0?ooo`030000003oool0oooo01T0oooo000K0?oo o`030000003oool0oooo0140oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`2>0?oo o`030000003oool0oooo02T0oooo00<000000?ooo`3oool06@3oool001/0oooo00<000000?ooo`3o ool04@3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo08h0oooo00<000000?ooo`3o ool0:@3oool00`000000oooo0?ooo`0I0?ooo`006`3oool00`000000oooo0?ooo`0A0?ooo`030000 003oool0oooo01@0oooo00<000000?ooo`3oool0S`3oool00`000000oooo0?ooo`0Y0?ooo`030000 003oool0oooo01T0oooo000K0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool04`3o ool00`000000oooo0?ooo`2@0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool06P3o ool001/0oooo0P00000C0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0T@3oool0 0`000000oooo0?ooo`0W0?ooo`030000003oool0oooo01X0oooo000K0?ooo`030000003oool0oooo 0180oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`2A0?ooo`030000003oool0oooo 02L0oooo00<000000?ooo`3oool06P3oool001/0oooo00<000000?ooo`3oool04P3oool00`000000 oooo0?ooo`0A0?ooo`030000003oool0oooo0980oooo00<000000?ooo`3oool09`3oool00`000000 oooo0?ooo`0J0?ooo`00203oool2000000@0oooo00<000000?ooo`3oool00P3oool3000000D0oooo 00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo09<0oooo 00<000000?ooo`3oool09@3oool00`000000oooo0?ooo`0K0?ooo`001`3oool010000000oooo0?oo o`0000070?ooo`050000003oool0oooo0?ooo`000000103oool00`000000oooo0?ooo`0C0?ooo`03 0000003oool0oooo00l0oooo00<000000?ooo`3oool0U03oool00`000000oooo0?ooo`0U0?ooo`03 0000003oool0oooo01/0oooo00070?ooo`040000003oool0oooo000000L0oooo00D000000?ooo`3o ool0oooo000000040?ooo`800000503oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo 09@0oooo00<000000?ooo`3oool09@3oool00`000000oooo0?ooo`0K0?ooo`001`3oool010000000 oooo0?ooo`0000080?ooo`<000001@3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool0U@3oool00`000000oooo0?ooo`0U0?ooo`030000003oool0oooo 01/0oooo00070?ooo`040000003oool0oooo000000L0oooo00D000000?ooo`3oool0oooo00000004 0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`2G 0?ooo`030000003oool0oooo02<0oooo00<000000?ooo`3oool0703oool000L0oooo00@000000?oo o`3oool000001`3oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo09L0oooo00<000000?ooo`3oool08`3o ool00`000000oooo0?ooo`0L0?ooo`00203oool2000000T0oooo0`0000050?ooo`030000003oool0 oooo01@0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`2H0?ooo`030000003oool0 oooo02<0oooo00<000000?ooo`3oool0703oool001/0oooo0P00000F0?ooo`030000003oool0oooo 00X0oooo00<000000?ooo`3oool0V@3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo 01d0oooo000K0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool02@3oool00`000000 oooo0?ooo`2J0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool07@3oool001/0oooo 00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo09X0oooo 00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`0M0?ooo`006`3oool00`000000oooo0?oo o`0E0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0V`3oool00`000000oooo0?oo o`0Q0?ooo`030000003oool0oooo01d0oooo000K0?ooo`030000003oool0oooo01H0oooo00<00000 0?ooo`3oool01`3oool00`000000oooo0?ooo`2L0?ooo`030000003oool0oooo01l0oooo00<00000 0?ooo`3oool07P3oool001/0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`060?oo o`030000003oool0oooo09d0oooo00<000000?ooo`3oool07`3oool00`000000oooo0?ooo`0N0?oo o`006`3oool2000001L0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`2M0?ooo`03 0000003oool0oooo01l0oooo00<000000?ooo`3oool07P3oool001/0oooo00<000000?ooo`3oool0 5P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo09h0oooo00<000000?ooo`3oool0 7`3oool00`000000oooo0?ooo`0N0?ooo`006`3oool00`000000oooo0?ooo`0G0?ooo`030000003o ool0oooo00@0oooo00<000000?ooo`3oool0W`3oool00`000000oooo0?ooo`0M0?ooo`030000003o ool0oooo01l0oooo000K0?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`2P0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool07`3oool0 01/0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo 0:40oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`0O0?ooo`006`3oool2000001T0 oooo00D000000?ooo`3oool0oooo0000002T0?ooo`030000003oool0oooo01/0oooo00<000000?oo o`3oool0803oool001/0oooo00<000000?ooo`3oool0603oool010000000oooo0?ooo`00002U0?oo o`030000003oool0oooo01/0oooo00<000000?ooo`3oool0803oool001/0oooo00<000000?ooo`3o ool0603oool010000000oooo0?ooo`00002U0?ooo`030000003oool0oooo01/0oooo00<000000?oo o`3oool0803oool001<0oooo0`0000050?ooo`030000003oool0oooo01P0oooo00<000000?ooo`00 0000YP3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0200oooo000D0?ooo`030000 003oool0oooo00@0oooo00<000000?ooo`3oool06@3oool200000:L0oooo00<000000?ooo`3oool0 6@3oool00`000000oooo0?ooo`0Q0?ooo`00503oool00`000000oooo0?ooo`040?ooo`8000006P3o ool00`000000oooo0?ooo`2V0?oooad000008`3oool001@0oooo00<000000?ooo`3oool0103oool0 0`000000oooo0?ooo`3o0?ooo`<0oooo000D0?ooo`030000003oool0oooo00@0oooo00<000000?oo o`3oool0o`3oool30?ooo`004`3oool2000000H0oooo00<000000?ooo`3oool0o`3oool30?ooo`00 503oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0?l0oooo0`3oool00?l0oooo8@3o ool00?l0oooo8@3oool00?l0oooo8@3oool00?l0oooo8@3oool00?l0oooo8@3oool00?l0oooo8@3o ool00001\ \>"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.970781, -0.594744, \ 0.0355256, 0.00958024}}], Cell[BoxData[ FormBox[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False], TraditionalForm]], "Output"] }, Open ]], Cell[BoxData[{ \(\(M = 1/2 {{\(-1\), 3, \(-3\), 1}, {2, \(-5\), 4, \(-1\)}, {\(-1\), 0, 1, 0}, {0, 2, 0, 0}};\)\), "\[IndentingNewLine]", \(\(\(Clear[ u]\)\(;\)\(U = {u^3, u^2, u, 1}\)\(;\)\(\[IndentingNewLine]\)\)\)}], "Input"], Cell[BoxData[ \(For[i = 2; plist = {}, i \[LessEqual] Length[P] - 2, i = i + 1, For[u = 0, u \[LessEqual] 1.0, u = u + 0.1, plist = Append[plist, U . M . {P[\([i - 1]\)], P[\([i]\)], P[\([i + 1]\)], P[\([i + 2]\)]}]]]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[{ \(g1 = Graphics[{PointSize[0.025], Thickness[0.01], Line[plist]}]\), "\[IndentingNewLine]", \(For[i = 1; clist = {PointSize[0.035]}, i \[LessEqual] Length[P], i = i + 1, clist = Append[clist, Point[P[\([i]\)]]]]\), "\[IndentingNewLine]", \(g2\ = \ Graphics[clist]\)}], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Show[{g1, g2}, Axes \[Rule] Automatic]\)], "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 0.10582 0.198502 0.359837 [ [.23545 .186 -3 -9 ] [.23545 .186 3 0 ] [.44709 .186 -3 -9 ] [.44709 .186 3 0 ] [.65873 .186 -3 -9 ] [.65873 .186 3 0 ] [.87037 .186 -3 -9 ] [.87037 .186 3 0 ] [.01131 .01858 -24 -4.5 ] [.01131 .01858 0 4.5 ] [.01131 .10854 -30 -4.5 ] [.01131 .10854 0 4.5 ] [.01131 .28846 -24 -4.5 ] [.01131 .28846 0 4.5 ] [.01131 .37842 -18 -4.5 ] [.01131 .37842 0 4.5 ] [.01131 .46838 -24 -4.5 ] [.01131 .46838 0 4.5 ] [.01131 .55834 -6 -4.5 ] [.01131 .55834 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 .23545 .1985 m .23545 .20475 L s [(2)] .23545 .186 0 1 Mshowa .44709 .1985 m .44709 .20475 L s [(4)] .44709 .186 0 1 Mshowa .65873 .1985 m .65873 .20475 L s [(6)] .65873 .186 0 1 Mshowa .87037 .1985 m .87037 .20475 L s [(8)] .87037 .186 0 1 Mshowa .125 Mabswid .07672 .1985 m .07672 .20225 L s .12963 .1985 m .12963 .20225 L s .18254 .1985 m .18254 .20225 L s .28836 .1985 m .28836 .20225 L s .34127 .1985 m .34127 .20225 L s .39418 .1985 m .39418 .20225 L s .5 .1985 m .5 .20225 L s .55291 .1985 m .55291 .20225 L s .60582 .1985 m .60582 .20225 L s .71164 .1985 m .71164 .20225 L s .76455 .1985 m .76455 .20225 L s .81746 .1985 m .81746 .20225 L s .92328 .1985 m .92328 .20225 L s .97619 .1985 m .97619 .20225 L s .25 Mabswid 0 .1985 m 1 .1985 L s .02381 .01858 m .03006 .01858 L s [(-0.5)] .01131 .01858 1 0 Mshowa .02381 .10854 m .03006 .10854 L s [(-0.25)] .01131 .10854 1 0 Mshowa .02381 .28846 m .03006 .28846 L s [(0.25)] .01131 .28846 1 0 Mshowa .02381 .37842 m .03006 .37842 L s [(0.5)] .01131 .37842 1 0 Mshowa .02381 .46838 m .03006 .46838 L s [(0.75)] .01131 .46838 1 0 Mshowa .02381 .55834 m .03006 .55834 L s [(1)] .01131 .55834 1 0 Mshowa .125 Mabswid .02381 .03658 m .02756 .03658 L s .02381 .05457 m .02756 .05457 L s .02381 .07256 m .02756 .07256 L s .02381 .09055 m .02756 .09055 L s .02381 .12653 m .02756 .12653 L s .02381 .14453 m .02756 .14453 L s .02381 .16252 m .02756 .16252 L s .02381 .18051 m .02756 .18051 L s .02381 .21649 m .02756 .21649 L s .02381 .23449 m .02756 .23449 L s .02381 .25248 m .02756 .25248 L s .02381 .27047 m .02756 .27047 L s .02381 .30645 m .02756 .30645 L s .02381 .32445 m .02756 .32445 L s .02381 .34244 m .02756 .34244 L s .02381 .36043 m .02756 .36043 L s .02381 .39641 m .02756 .39641 L s .02381 .4144 m .02756 .4144 L s .02381 .4324 m .02756 .4324 L s .02381 .45039 m .02756 .45039 L s .02381 .48637 m .02756 .48637 L s .02381 .50436 m .02756 .50436 L s .02381 .52236 m .02756 .52236 L s .02381 .54035 m .02756 .54035 L s .02381 .00059 m .02756 .00059 L s .02381 .57633 m .02756 .57633 L s .02381 .59432 m .02756 .59432 L s .02381 .61231 m .02756 .61231 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 .01 w .12963 .55834 m .14021 .56221 L .15079 .5569 L .16138 .54404 L .17196 .52523 L .18254 .50211 L .19312 .4763 L .2037 .4494 L .21429 .42304 L .22487 .39884 L .23545 .37842 L .23545 .37842 L .24603 .36043 L .25661 .34244 L .2672 .32445 L .27778 .30645 L .28836 .28846 L .29894 .27047 L .30952 .25248 L .32011 .23449 L .33069 .21649 L .34127 .1985 L .34127 .1985 L .35185 .17808 L .36243 .15388 L .37302 .12752 L .3836 .10063 L .39418 .07481 L .40476 .05169 L .41534 .03289 L .42593 .02002 L .43651 .01472 L .44709 .01858 L .44709 .01858 L .45767 .03514 L .46825 .06464 L .47884 .10386 L .48942 .14956 L .5 .1985 L .51058 .24744 L .52116 .29314 L .53175 .33236 L .54233 .36187 L .55291 .37842 L .55291 .37842 L .56349 .37986 L .57407 .36835 L .58466 .34711 L .59524 .31941 L .60582 .28846 L Mistroke .6164 .25752 L .62698 .22981 L .63757 .20858 L .64815 .19706 L .65873 .1985 L .65873 .1985 L .66931 .21424 L .67989 .24168 L .69048 .27812 L .70106 .32085 L .71164 .36718 L .72222 .4144 L .7328 .45983 L .74339 .50077 L .75397 .5345 L .76455 .55834 L .76455 .55834 L .77513 .57453 L .78571 .58713 L .7963 .59612 L .80688 .60152 L .81746 .60332 L .82804 .60152 L .83862 .59612 L .84921 .58713 L .85979 .57453 L .87037 .55834 L Mfstroke .035 w .02381 .1985 Mdot .12963 .55834 Mdot .23545 .37842 Mdot .34127 .1985 Mdot .44709 .01858 Mdot .55291 .37842 Mdot .65873 .1985 Mdot .76455 .55834 Mdot .87037 .55834 Mdot .97619 .1985 Mdot % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`003P3oool2000000@0oooo00<000000?ooo`3oool00P3oool3 000000D0oooo00<000000?ooo`3oool0J03oool7000008d0oooo000=0?ooo`040000003oool0oooo 000000L0oooo00D000000?ooo`3oool0oooo000000040?ooo`030000003oool0oooo06L0oooo2@00 002<0?ooo`001P3oool500000080oooo00@000000?ooo`3oool000002`3oool00`000000oooo0?oo o`020?ooo`030000003oool0oooo06H0oooo2P00002<0?ooo`003@3oool010000000oooo0?ooo`00 000;0?ooo`030000003oool0oooo0080oooo0P00001U0?ooo``00000S03oool000d0oooo00@00000 0?ooo`3oool000001`3oool4000000D0oooo00<000000?ooo`3oool0I03oool<000008`0oooo000= 0?ooo`040000003oool0oooo000000L0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?oo o`1S0?ooo`<0000000<0oooo0000000000001`00002<0?ooo`003P3oool2000000P0oooo1@000004 0?ooo`030000003oool0oooo0680oooo0`0000030?ooo`L00000S@3oool00240oooo0P00001S0?oo o`8000001@3oool6000008d0oooo000Q0?ooo`030000003oool0oooo0640oooo0`0000090?ooo`80 0000S@3oool00240oooo00<000000?ooo`3oool0H03oool3000000X0oooo0P00002=0?ooo`008@3o ool00`000000oooo0?ooo`1P0?ooo`8000002`3oool3000008`0oooo000Q0?ooo`030000003oool0 oooo05l0oooo0`00000<0?ooo`800000S03oool00240oooo0P00001P0?ooo`8000003@3oool20000 08`0oooo000Q0?ooo`030000003oool0oooo05h0oooo0`00000=0?ooo`800000S03oool00240oooo 00<000000?ooo`3oool0GP3oool2000000h0oooo0`00002;0?ooo`008@3oool00`000000oooo0?oo o`1M0?ooo`<000003`3oool2000008/0oooo000Q0?ooo`030000003oool0oooo05d0oooo0P00000@ 0?ooo`800000R`3oool00240oooo0P00001M0?ooo`<00000403oool2000008/0oooo000Q0?ooo`03 0000003oool0oooo05`0oooo0P00000A0?ooo`<00000RP3oool00240oooo00<000000?ooo`3oool0 F`3oool300000180oooo0P00002:0?ooo`008@3oool00`000000oooo0?ooo`1K0?ooo`8000004`3o ool2000008X0oooo000Q0?ooo`800000F`3oool3000001<0oooo0`0000290?ooo`008@3oool00`00 0000oooo0?ooo`1J0?ooo`8000005@3oool2000008T0oooo00080?ooo`800000103oool010000000 oooo0?ooo`3oool500000080oooo0`0000050?ooo`030000003oool0oooo05X0oooo0P00000E0?oo o`800000R@3oool000L0oooo00@000000?ooo`3oool00000203oool01P000000oooo0?ooo`000000 oooo000000<0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`1I0?ooo`<000005@3o ool3000008P0oooo000500000080oooo00@000000?ooo`3oool000002@3oool00`000000oooo0?oo o`050?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0F@3oool2000001L0oooo0P00 00280?ooo`001`3oool010000000oooo0?ooo`00000:0?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool00P3oool2000005X0oooo0P00000G0?ooo`800000R03oool000L0oooo00@00000 0?ooo`3oool000001`3oool01P000000oooo0?ooo`3oool000000?ooo`@000001@3oool00`000000 oooo0?ooo`1H0?ooo`<000005`3oool2000008P0oooo00070?ooo`040000003oool0oooo000000L0 oooo00L000000?ooo`3oool0oooo0000003oool0000000P0oooo00<000000?ooo`3oool0F03oool2 000001P0oooo0`0000270?ooo`00203oool2000000T0oooo0`0000020?ooo`D00000103oool00`00 0000oooo0?ooo`1H0?ooo`8000006@3oool2000008L0oooo000Q0?ooo`030000003oool0oooo05L0 oooo0`00000I0?ooo`800000Q`3oool00240oooo0P00001H0?ooo`8000006P3oool2000008L0oooo 000Q0?ooo`030000003oool0oooo05L0oooo0P00000J0?ooo`<00000QP3oool00240oooo00<00000 0?ooo`3oool0EP3oool3000001/0oooo0P0000260?ooo`008@3oool00`000000oooo0?ooo`1F0?oo o`800000703oool2000008H0oooo000Q0?ooo`800000EP3oool3000001`0oooo0P0000260?ooo`00 8@3oool00`000000oooo0?ooo`1E0?ooo`8000007@3oool3000008D0oooo000Q0?ooo`030000003o ool0oooo05D0oooo0P00000N0?ooo`800000Q@3oool00240oooo00<000000?ooo`3oool0<@3oool5 000001h0oooo0`00000C0?ooo`<00000203oool2000002T0oooo0`00000d0?ooo`<000008P3oool0 0240oooo00<000000?ooo`3oool003oool2000001H0oooo0P00000C0?ooo`800000D@3o ool000L0oooo00@000000?ooo`3oool000002@3oool00`000000oooo0?ooo`050?ooo`030000003o ool0oooo0080oooo00<000000?ooo`3oool0@P3oool2000003P0oooo0P00000F0?ooo`8000004`3o ool200000540oooo00070?ooo`040000003oool0oooo000000X0oooo00<000000?ooo`3oool0103o ool00`000000oooo0?ooo`020?ooo`800000@P3oool3000003P0oooo0`00000D0?ooo`<000004`3o ool300000500oooo00070?ooo`040000003oool0oooo000000L0oooo00H000000?ooo`3oool0oooo 0000003oool4000000D0oooo00<000000?ooo`3oool0@@3oool2000003X0oooo0P00000D0?ooo`80 00005@3oool200000500oooo00070?ooo`040000003oool0oooo000000L0oooo00L000000?ooo`3o ool0oooo0000003oool0000000P0oooo00<000000?ooo`3oool0@03oool3000003X0oooo0P00000C 0?ooo`<000005@3oool200000500oooo00080?ooo`8000002@3oool300000080oooo1@0000040?oo o`030000003oool0oooo03l0oooo0`00000k0?ooo`8000004`3oool2000001H0oooo0`00001?0?oo o`008@3oool2000003l0oooo0`00000l0?ooo`<000004P3oool2000001L0oooo0P00001?0?ooo`00 8@3oool00`000000oooo0?ooo`0n0?ooo`800000?P3oool200000140oooo0`00000G0?ooo`800000 C`3oool00240oooo00<000000?ooo`3oool0?@3oool3000003h0oooo0P00000A0?ooo`800000603o ool2000004l0oooo000Q0?ooo`030000003oool0oooo03`0oooo0`00000o0?ooo`<00000403oool2 000001P0oooo0`00001>0?ooo`008@3oool00`000000oooo0?ooo`0l0?ooo`800000@@3oool20000 00l0oooo0`00000I0?ooo`800000CP3oool00240oooo0P00000l0?ooo`<00000@@3oool2000000l0 oooo0P00000J0?ooo`800000CP3oool00240oooo00<000000?ooo`3oool0>`3oool200000480oooo 0`00000>0?ooo`8000006P3oool2000004h0oooo000Q0?ooo`030000003oool0oooo03X0oooo0`00 00130?ooo`8000003@3oool3000001X0oooo0`00001=0?ooo`008@3oool00`000000oooo0?ooo`0i 0?ooo`<00000A03oool2000000d0oooo0P00000L0?ooo`800000C@3oool00240oooo00<000000?oo o`3oool0>@3oool2000004D0oooo0`00000<0?ooo`800000703oool2000004d0oooo000Q0?ooo`80 0000>@3oool3000004H0oooo0P00000;0?ooo`<00000703oool2000004d0oooo000Q0?ooo`030000 003oool0oooo03P0oooo0P0000170?ooo`8000002`3oool2000001d0oooo0`00001<0?ooo`008@3o ool00`000000oooo0?ooo`0g0?ooo`<00000A`3oool3000000X0oooo0P00000N0?ooo`800000C03o ool00240oooo00<000000?ooo`3oool0=`3oool2000004T0oooo0P0000090?ooo`<000007P3oool2 000004`0oooo000Q0?ooo`800000=`3oool3000004T0oooo0P0000080?ooo`<000007`3oool20000 04`0oooo000Q0?ooo`030000003oool0oooo0380oooo1P00001:0?ooo`L000000`3oool200000200 oooo0`00001;0?ooo`008@3oool00`000000oooo0?ooo`0a0?ooo`L00000B`3oool7000000040?oo o`000000000000000240oooo0P00001;0?ooo`003P3oool2000000@0oooo00<000000?ooo`3oool0 0P3oool3000000D0oooo00<000000?ooo`3oool0<03oool9000004T0oooo2`00000R0?ooo`800000 B`3oool000d0oooo00@000000?ooo`3oool000001`3oool01@000000oooo0?ooo`3oool0000000@0 oooo00<000000?ooo`3oool0<03oool9000004T0oooo2P00000S0?ooo`800000B`3oool000d0oooo 00@000000?ooo`3oool000002`3oool00`000000oooo0?ooo`020?ooo`800000<@3oool9000004T0 oooo2@00000T0?ooo`800000B`3oool000d0oooo00@000000?ooo`3oool000002`3oool00`000000 oooo0?ooo`020?ooo`030000003oool0oooo0300oooo2@0000190?ooo`T00000903oool3000004X0 oooo000=0?ooo`040000003oool0oooo000000L0oooo100000050?ooo`030000003oool0oooo0300 oooo2@0000190?ooo`T000009@3oool2000004X0oooo000=0?ooo`040000003oool0oooo000000L0 oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0a0?ooo`L00000B`3oool7000002H0 oooo0P00001:0?ooo`003P3oool2000000P0oooo1@0000040?ooo`030000003oool0oooo0340oooo 1P00001=0?ooo`D000009`3oool2000004X0oooo000Q0?ooo`800000<@3oool3000007d0oooo0P00 001:0?ooo`008@3oool00`000000oooo0?ooo`0`0?ooo`800000OP3oool2000004X0oooo000Q0?oo o`030000003oool0oooo02l0oooo0`00001n0?ooo`<00000B@3oool00240oooo00<000000?ooo`3o ool0;`3oool200000800oooo0P0000190?ooo`008@3oool2000002l0oooo0`0000200?ooo`800000 B@3oool00240oooo00<000000?ooo`3oool0;P3oool200000840oooo0P0000190?ooo`008@3oool0 0`000000oooo0?ooo`0^0?ooo`800000P@3oool2000004T0oooo000Q0?ooo`030000003oool0oooo 02d0oooo0`0000210?ooo`<00000B03oool00240oooo00<000000?ooo`3oool0;@3oool2000008<0 oooo0P0000180?ooo`008@3oool2000002h0oooo0P0000230?ooo`800000B03oool00240oooo00<0 00000?ooo`3oool0;03oool3000008<0oooo0P0000180?ooo`008@3oool00`000000oooo0?ooo`0/ 0?ooo`800000Q03oool3000004L0oooo000Q0?ooo`030000003oool0oooo02`0oooo0P0000250?oo o`800000A`3oool00240oooo00<000000?ooo`3oool0:`3oool3000008D0oooo0P0000170?ooo`00 8@3oool2000002`0oooo0P0000260?ooo`800000A`3oool00240oooo00<000000?ooo`3oool0:`3o ool2000008H0oooo0`0000160?ooo`00203oool2000000@0oooo00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`020?ooo`<000001@3oool00`000000oooo0?ooo`0Z0?ooo`<00000Q`3oool2 000004H0oooo00070?ooo`040000003oool0oooo000000T0oooo00D000000?ooo`3oool0oooo0000 00030?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0:P3oool2000008P0oooo0P00 00160?ooo`001`3oool010000000oooo0?ooo`00000:0?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool00P3oool2000002X0oooo0`0000280?ooo`800000AP3oool000L0oooo00@00000 0?ooo`3oool000002P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0080oooo00<0 00000?ooo`3oool0:@3oool2000008T0oooo0`0000150?ooo`001`3oool010000000oooo0?ooo`00 000;0?ooo`030000003oool0000000<000001@3oool00`000000oooo0?ooo`0Y0?ooo`800000RP3o ool2000004D0oooo00070?ooo`040000003oool0oooo000000L0oooo00L000000?ooo`3oool0oooo 0000003oool0000000P0oooo00<000000?ooo`3oool0:03oool3000008X0oooo0P0000150?ooo`00 203oool2000000P0oooo1@0000000`3oool0000000000003000000@0oooo00<000000?ooo`3oool0 :03oool2000008/0oooo0`0000140?ooo`008@3oool2000002P0oooo0`00002<0?ooo`800000A03o ool00240oooo00<000000?ooo`3oool09`3oool2000008d0oooo0P0000140?ooo`008@3oool00`00 0000oooo0?ooo`0V0?ooo`<00000S@3oool2000004@0oooo000Q0?ooo`030000003oool0oooo02H0 oooo0P00002>0?ooo`<00000@`3oool00240oooo00<000000?ooo`3oool09@3oool3000008l0oooo 0P0000130?ooo`008@3oool2000002H0oooo0P00002@0?ooo`800000@`3oool00240oooo00<00000 0?ooo`3oool0903oool300000900oooo0`0000120?ooo`008@3oool00`000000oooo0?ooo`0T0?oo o`800000TP3oool200000480oooo000Q0?ooo`030000003oool0oooo02<0oooo0`00002B0?ooo`80 0000@P3oool00240oooo0P00000T0?ooo`800000T`3oool300000440oooo000Q0?ooo`030000003o ool0oooo0280oooo0`00002D0?ooo`800000@@3oool00240oooo00<000000?ooo`3oool08P3oool2 000009D0oooo0P0000110?ooo`008@3oool00`000000oooo0?ooo`0Q0?ooo`<00000U@3oool30000 0400oooo000Q0?ooo`030000003oool0oooo0240oooo0P00002G0?ooo`800000@03oool00240oooo 0P00000R0?ooo`800000U`3oool200000400oooo000Q0?ooo`030000003oool0oooo01H0oooo1@00 00050?ooo`<00000U`3oool6000001L0oooo1@00000P0?ooo`006@3oool3000000D0oooo00<00000 0?ooo`3oool05@3oool7000000<0oooo0`00002H0?ooo`L000005@3oool7000001l0oooo000J0?oo o`030000003oool0oooo00@0oooo00<000000?ooo`3oool0503oool9000000040?ooo`0000000000 000009P0oooo2@00000C0?ooo`T000007P3oool001X0oooo00<000000?ooo`3oool0103oool00`00 0000oooo0?ooo`0D0?ooo``00000V@3oool9000001<0oooo2@00000N0?ooo`006P3oool00`000000 oooo0?ooo`040?ooo`8000005@3oool;000009X0oooo2@00000C0?ooo`T000007P3oool001X0oooo 00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0D0?ooo`T00000W03oool9000001<0oooo 2@00000N0?ooo`006@3oool2000000H0oooo00<000000?ooo`3oool0503oool9000009`0oooo2@00 000C0?ooo`T000007P3oool001X0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0E 0?ooo`L00000WP3oool7000001D0oooo1`00000O0?ooo`008@3oool00`000000oooo0?ooo`0F0?oo o`D00000X03oool6000001@0oooo1`00000P0?ooo`008@3oool200000<00oooo0`00000B0?ooo`<0 00009@3oool00240oooo00<000000?ooo`3oool0`03oool300000100oooo0`00000V0?ooo`008@3o ool00`000000oooo0?ooo`310?ooo`<000003P3oool3000002L0oooo000Q0?ooo`030000003oool0 oooo0<80oooo0`00000=0?ooo`800000:03oool00240oooo0P0000340?ooo`<000002`3oool30000 02P0oooo000Q0?ooo`030000003oool0oooo0<@0oooo100000070?ooo`@00000:@3oool00240oooo 00<000000?ooo`3oool0a@3oool6000000030?ooo`000000000000@00000:P3oool00240oooo00<0 00000?ooo`3oool0a`3oool9000002`0oooo000Q0?ooo`030000003oool0oooo0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-1.20882, -0.638716, \ 0.036355, 0.0106912}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, FrontEndVersion->"4.0 for Macintosh", ScreenRectangle->{{0, 1024}, {0, 748}}, WindowSize->{520, 626}, WindowMargins->{{Automatic, 9}, {Automatic, 31}}, MacintoshSystemPageSetup->"\<\ 02P0001804P000000^L2D_ogooL33`9K8085:0?l0000005X0FP000003X<;VP5d 038;VTRX04/00@4100000BL?00400@000000000000000000000000000040I0<0 00000000000@XP404@000000000eDflP\>" ] (*********************************************************************** 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[CellGroupData[{ Cell[1739, 51, 236, 4, 59, "Input"], Cell[1978, 57, 432, 15, 169, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2447, 77, 75, 1, 27, "Input"], Cell[2525, 80, 28909, 558, 186, 3384, 238, "GraphicsData", "PostScript", \ "Graphics"], Cell[31437, 640, 167, 4, 26, "Output"] }, Open ]], Cell[31619, 647, 276, 6, 75, "Input"], Cell[31898, 655, 280, 5, 75, "Input"], Cell[CellGroupData[{ Cell[32203, 664, 339, 7, 91, "Input"], Cell[32545, 673, 130, 3, 26, "Output"], Cell[32678, 678, 130, 3, 26, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[32845, 686, 71, 1, 27, "Input"], Cell[32919, 689, 20008, 520, 186, 4664, 326, "GraphicsData", "PostScript", \ "Graphics"], Cell[52930, 1211, 130, 3, 26, "Output"] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)