(*********************************************************************** 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[ 365646, 13644]*) (*NotebookOutlinePosition[ 366701, 13680]*) (* CellTagsIndexPosition[ 366657, 13676]*) (*WindowFrame->Normal*) Notebook[{ Cell[TextData["The Kaiser Window"], "Title", Evaluatable->False], Cell[TextData[ "\tMusic 420 / EE 265\n\tWinter 1992\n\tJulius O. Smith III\nCCRMA, Stanford \ University"], "Subtitle", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Definitions"], "Section", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Constants"], "Subsection", Evaluatable->False], Cell[TextData[ "M = 27;\t\t(* window length *)\nNN = 512;\t(* DFT length *)\nbeta = 5;\t(* \ Kaiser window time-bandwidth/2 parameter *)"], "Input"], Cell[TextData[ "nl = -(M-1)/2;\t(* Lowest window time index *)\nnu = (M-1)/2;\t(* Highest \ window time index *)"], "Input"]}, Open]], Cell[CellGroupData[{Cell[TextData[ "I0 [x] - The 0th-Order Modified Bessel Function of the 1st Kind"], "Subsection", Evaluatable->False], Cell[TextData["I0[x_] := BesselI[0,x];"], "Input"], Cell[CellGroupData[{Cell[TextData["Plot[I0[x],{x,0,beta}];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart % Scaling calculations 0.02381 0.19048 0.01472 0.02161 [ [(1)] 0.21429 0.00222 0 1 Msboxa [(2)] 0.40476 0.00222 0 1 Msboxa [(3)] 0.59524 0.00222 0 1 Msboxa [(4)] 0.78571 0.00222 0 1 Msboxa [(5)] 0.97619 0.00222 0 1 Msboxa [(5)] 0.01131 0.12276 1 0 Msboxa [(10)] 0.01131 0.2308 1 0 Msboxa [(15)] 0.01131 0.33884 1 0 Msboxa [(20)] 0.01131 0.44688 1 0 Msboxa [(25)] 0.01131 0.55492 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke 0.21429 0.00847 moveto 0.21429 0.02097 lineto stroke 0 setgray [(1)] 0.21429 0.00222 0 1 Mshowa 0.40476 0.00847 moveto 0.40476 0.02097 lineto stroke 0 setgray [(2)] 0.40476 0.00222 0 1 Mshowa 0.59524 0.00847 moveto 0.59524 0.02097 lineto stroke 0 setgray [(3)] 0.59524 0.00222 0 1 Mshowa 0.78571 0.00847 moveto 0.78571 0.02097 lineto stroke 0 setgray [(4)] 0.78571 0.00222 0 1 Mshowa 0.97619 0.00847 moveto 0.97619 0.02097 lineto stroke 0 setgray [(5)] 0.97619 0.00222 0 1 Mshowa 0.02381 0 moveto 0.02381 0.61803 lineto stroke 0.01756 0.12276 moveto 0.03006 0.12276 lineto stroke 0 setgray [(5)] 0.01131 0.12276 1 0 Mshowa 0.01756 0.2308 moveto 0.03006 0.2308 lineto stroke 0 setgray [(10)] 0.01131 0.2308 1 0 Mshowa 0.01756 0.33884 moveto 0.03006 0.33884 lineto stroke 0 setgray [(15)] 0.01131 0.33884 1 0 Mshowa 0.01756 0.44688 moveto 0.03006 0.44688 lineto stroke 0 setgray [(20)] 0.01131 0.44688 1 0 Mshowa 0.01756 0.55492 moveto 0.03006 0.55492 lineto stroke 0 setgray [(25)] 0.01131 0.55492 1 0 Mshowa grestore grestore 0 0 moveto 1 0 lineto 1 0.618034 lineto 0 0.618034 lineto closepath clip newpath 0 setgray gsave gsave 0.004 setlinewidth 0.02381 0.03632 moveto 0.02505 0.03632 lineto 0.02629 0.03632 lineto 0.02753 0.03633 lineto 0.02877 0.03633 lineto 0.03125 0.03633 lineto 0.03373 0.03634 lineto 0.03621 0.03635 lineto 0.03869 0.03636 lineto 0.04365 0.03638 lineto 0.04861 0.03641 lineto 0.05357 0.03646 lineto 0.06349 0.03656 lineto 0.07341 0.03669 lineto 0.08333 0.03685 lineto 0.10317 0.03727 lineto 0.12302 0.03781 lineto 0.14286 0.03849 lineto 0.18254 0.04024 lineto 0.22222 0.04259 lineto 0.2619 0.04562 lineto 0.30159 0.04943 lineto 0.34127 0.05414 lineto 0.38095 0.05992 lineto 0.42063 0.06695 lineto 0.46032 0.07548 lineto 0.5 0.0858 lineto 0.53968 0.09827 lineto 0.57937 0.11332 lineto 0.61905 0.13148 lineto 0.65873 0.1534 lineto 0.69841 0.17984 lineto 0.7381 0.21176 lineto 0.77778 0.25031 lineto 0.81746 0.29688 lineto 0.85714 0.35317 lineto 0.89683 0.42125 lineto 0.93651 0.50361 lineto 0.97619 0.60332 lineto stroke grestore grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00005P000ol0002c0003o`0004/0000F0003o`000;@000?o0000BP0001H000?o0000]@000ol0 001900005P000ol0002f00;oB@0001H000?o0000^0000ol0001600001@05o`<00ol60003o`000;T0 00?o0000A@0000L000?o00000P001Ol0003o00D000?o0000^P000ol0001400001`000ol000020005 o`000?l01@000ol0002k0003o`0004<000070003o`00008000Go0000o`0300Go_0000ol000120000 1`000ol000020005o`000?l01@000ol0002m0003o`00044000070003o`00008000Go0000o`050003 o`000;h000?o0000@00000D00ol40005o`000?l01@000ol0002o0003o`0003l000070003o`0000<0 0ol60003o`000<0000?o0000?P0001H000?o0000`@000ol0000m00005P000ol000310003o`0003d0 000F0003o`000<8000?o0000?00001H000?o0000``000ol0000k00005P000ol000340003o`0003X0 000F0003o`000@0001H000?o0000aP000ol0000h00005P000ol000360003o`0003P0 000F0003o`0004000?o00007@0001H000?o0000h@000ol0 000M00001@05o`<00ol60003o`000>8000?o0000700000D000Go0000o`020005o`000?l01@000ol0 003R0003o`0001`000060003o`0000<000Go0000o`050003o`000><000?o00006`0000L000?o0000 0P001Ol0003o00<01OoS0003o`0001/000080005o`000?l00`000ol000030003o`000><000?o0000 6`0000D000Go0000o`020005o`000?l01@000ol0003T0003o`0001X000050005o`000?l00P001Ol0 003o00D000?o0000i0000ol0000J00001P03o`@00ol60003o`000>D000?o00006@0001H000?o0000 i@000ol0000I00005P000ol0003V0003o`0001P0000F0003o`000>H000?o0000600001H000?o0000 i`000ol0000G00005P000ol0003W0003o`0001L0000F0003o`000>P000?o00005P0001H000?o0000 j0000ol0000F00005P000ol0003X0003o`0001H0000F0003o`000>T000?o00005@0001H000?o0000 j@000ol0000E00005P000ol0003Z0003o`0001@0000F0003o`000>X000?o0000500001H000?o0000 j`000ol0000C00005P000ol0003[0003o`0001<0000F0003o`000>/000?o00004`0001H000?o0000 k0000ol0000B00005P000ol0003/0003o`000180000F0003o`000>d000?o00004@0001H000?o0000 k@000ol0000A00005P000ol0003]0003o`000140000500Go0P04o`H000?o0000kP000ol0000@0000 1@001ol0003o0?l010000ol000030003o`000>h000?o0000400000H000?o00001`000ol000030003 o`000>l000?o00003`0000L000?o00001P001?l00005onl000?o00003`0000P000Co00001?l60003 o`000>l000?o00003`0000D000Go0000o`020003o`0000L000?o0000l0000ol0000>00001@001Ol0 003o008000?o00001`000ol0003`0003o`0000h0000600?o0`05o`D000?o0000l@000ol0000=0000 5P000ol0003a0003o`0000d0000F0003o`000?4000?o00003@0001H000?o0000lP000ol0000<0000 5P000ol0003b0003o`0000`0000F0003o`000?<000?o00002`0001H000?o0000l`000ol0000;0000 5P000ol0003c0003o`0000/0000F0003o`000?@000?o00002P0001H000?o0000o`0200005P000ol0 003o0080000F0003o`000?l00P0001H000?o0000o`020000\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-0.456768, -2.8977, 0.0202389, 0.178394}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Comparison of I0[x] to Exp[x]"], "Subsection", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["?Series"], "Input"], Cell[TextData[ "Series[f, {x, x0, n}] generates a power series expansion\n for f about the \ point x = x0 to order (x - x0)^n.\n Series[f, {x, x0, nx}, {y, y0, ny}] \ successively finds\n series expansions with respect to y, then x."], "Info",\ Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData["Series[Exp[x],{x,0,4}]"], "Input"], Cell[OutputFormData[ "\<\ SeriesData[x, 0, {1, 1, 1/2, 1/6, 1/24}, 0, 5, 1]\ \>", "\<\ 2 3 4 x x x 5 1 + x + -- + -- + -- + O[x] 2 6 24\ \>"], "Output", Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData["Series[I0[x],{x,0,4}]"], "Input"], Cell[OutputFormData[ "\<\ SeriesData[x, 0, {1, 0, 1/4, 0, 1/64}, 0, 6, 1]\ \>", "\<\ 2 4 x x 6 1 + -- + -- + O[x] 4 64\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData[ "Note that the series for I0[x] is term-wise square of the series for \ Exp[x/2]:"], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Series[Exp[x/2],{x,0,4}]"], "Input"], Cell[OutputFormData[ "\<\ SeriesData[x, 0, {1, 1/2, 1/8, 1/48, 1/384}, 0, 5, 1]\ \>", "\<\ 2 3 4 x x x x 5 1 + - + -- + -- + --- + O[x] 2 8 48 384\ \>"], "Output", Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData["Plot[{I0[x], Exp[x/2]},{x,0,beta}];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart % Scaling calculations 0.02381 0.19048 0.01472 0.03169 [ [(1)] 0.21429 0.00222 0 1 Msboxa [(2)] 0.40476 0.00222 0 1 Msboxa [(3)] 0.59524 0.00222 0 1 Msboxa [(4)] 0.78571 0.00222 0 1 Msboxa [(5)] 0.97619 0.00222 0 1 Msboxa [(2.5)] 0.01131 0.09395 1 0 Msboxa [(5)] 0.01131 0.17318 1 0 Msboxa [(7.5)] 0.01131 0.25242 1 0 Msboxa [(10)] 0.01131 0.33165 1 0 Msboxa [(12.5)] 0.01131 0.41089 1 0 Msboxa [(15)] 0.01131 0.49012 1 0 Msboxa [(17.5)] 0.01131 0.56936 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke 0.21429 0.00847 moveto 0.21429 0.02097 lineto stroke 0 setgray [(1)] 0.21429 0.00222 0 1 Mshowa 0.40476 0.00847 moveto 0.40476 0.02097 lineto stroke 0 setgray [(2)] 0.40476 0.00222 0 1 Mshowa 0.59524 0.00847 moveto 0.59524 0.02097 lineto stroke 0 setgray [(3)] 0.59524 0.00222 0 1 Mshowa 0.78571 0.00847 moveto 0.78571 0.02097 lineto stroke 0 setgray [(4)] 0.78571 0.00222 0 1 Mshowa 0.97619 0.00847 moveto 0.97619 0.02097 lineto stroke 0 setgray [(5)] 0.97619 0.00222 0 1 Mshowa 0.02381 0 moveto 0.02381 0.61803 lineto stroke 0.01756 0.09395 moveto 0.03006 0.09395 lineto stroke 0 setgray [(2.5)] 0.01131 0.09395 1 0 Mshowa 0.01756 0.17318 moveto 0.03006 0.17318 lineto stroke 0 setgray [(5)] 0.01131 0.17318 1 0 Mshowa 0.01756 0.25242 moveto 0.03006 0.25242 lineto stroke 0 setgray [(7.5)] 0.01131 0.25242 1 0 Mshowa 0.01756 0.33165 moveto 0.03006 0.33165 lineto stroke 0 setgray [(10)] 0.01131 0.33165 1 0 Mshowa 0.01756 0.41089 moveto 0.03006 0.41089 lineto stroke 0 setgray [(12.5)] 0.01131 0.41089 1 0 Mshowa 0.01756 0.49012 moveto 0.03006 0.49012 lineto stroke 0 setgray [(15)] 0.01131 0.49012 1 0 Mshowa 0.01756 0.56936 moveto 0.03006 0.56936 lineto stroke 0 setgray [(17.5)] 0.01131 0.56936 1 0 Mshowa grestore grestore 0 0 moveto 1 0 lineto 1 0.618034 lineto 0 0.618034 lineto closepath clip newpath 0 setgray gsave gsave gsave 0.004 setlinewidth 0.02381 0.04641 moveto 0.02505 0.04641 lineto 0.02629 0.04641 lineto 0.02753 0.04641 lineto 0.02877 0.04641 lineto 0.03125 0.04642 lineto 0.03373 0.04643 lineto 0.03621 0.04644 lineto 0.03869 0.04646 lineto 0.04365 0.04649 lineto 0.04861 0.04654 lineto 0.05357 0.0466 lineto 0.06349 0.04675 lineto 0.07341 0.04695 lineto 0.08333 0.04719 lineto 0.10317 0.0478 lineto 0.12302 0.04859 lineto 0.14286 0.04958 lineto 0.18254 0.05215 lineto 0.22222 0.05561 lineto 0.2619 0.06005 lineto 0.30159 0.06564 lineto 0.34127 0.07255 lineto 0.38095 0.08102 lineto 0.42063 0.09133 lineto 0.46032 0.10384 lineto 0.5 0.11898 lineto 0.53968 0.13727 lineto 0.57937 0.15935 lineto 0.61905 0.18598 lineto 0.65873 0.21812 lineto 0.69841 0.25691 lineto 0.7381 0.30373 lineto 0.77778 0.36027 lineto 0.81746 0.42858 lineto 0.85714 0.51114 lineto 0.89683 0.61099 lineto 0.93651 0.7318 lineto 0.97619 0.87805 lineto stroke grestore grestore gsave gsave 0.004 setlinewidth 0.02381 0.04641 moveto 0.06349 0.04989 lineto 0.10317 0.05375 lineto 0.14286 0.05804 lineto 0.18254 0.06279 lineto 0.22222 0.06807 lineto 0.2619 0.07393 lineto 0.30159 0.08043 lineto 0.34127 0.08764 lineto 0.38095 0.09565 lineto 0.42063 0.10453 lineto 0.46032 0.11439 lineto 0.5 0.12534 lineto 0.53968 0.13748 lineto 0.57937 0.15096 lineto 0.61905 0.16592 lineto 0.65873 0.18252 lineto 0.69841 0.20094 lineto 0.7381 0.22138 lineto 0.77778 0.24407 lineto 0.81746 0.26925 lineto 0.85714 0.2972 lineto 0.89683 0.32821 lineto 0.93651 0.36263 lineto 0.97619 0.40082 lineto stroke grestore grestore grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00[o2P0:ol`0000O0003o`0001P02_l:00[o`P0001l000?o00008P08o``02_nh0000 7`000ol0000Z00Go4@08ok00000O0003o`0002l01olB00GoZ`0001l000?o0000=P08o`l01OnV0000 7`000ol0000n00Go3`05oj40000O0003o`0004<01Ol?00CoW@0000P01Ol30003o`0000<01?l50003 o`0004P01Ol>00CoV@0000P000Go0000o`080003o`00008000?o00000P000ol0001=00Go3@03oiH0 00090003o`0000h000Co00001?mB00Go2`04oi80000:0003o`0000d000?o00000P000ol0001G00Go 2P03ohl0000;0003o`0000P01?l50003o`0005`01Ol800?oS00000P000Go0000o`090003o`0000H0 00?o0000H@06o`D00on9000020001Ol0003o00T000?o00001P000ol0001W00Go0`03ohH0000900?o 2P05o`@000?o0000K004o`800_n400007`000ol0001`00?o00@0ooooP@0001l000?o0000L`03o`03 0?oo07l0000O0003o`0007H01_ml00007`000ol0001j00CoNP0001l000?o0000O@04ogL0000O0003 o`0008000ome00007`000ol0002300?oLP0001l000?o0000Q@03og00000O0003o`0008H01Om]0000 7`000ol0002800;o00<0ool0J`0001l000?o0000RP000ol00003ofP0000O0003o`0008/00_l300;o IP0001H01?l50003o`0008d000?o00000P03of<0000E0003o`00008000?o00000P000ol0002>00;o 1@02of40000J0004o`0000CoT0000ol0000400?oGP0001X000?o00000P000ol0002A0003o`0000H0 0_mL00005P04o`D000?o0000TP02o`P00omI00005P000ol000060003o`0009@000?o00002002oeL0 000F0003o`0000H000?o0000U@02o`X00_mE00005P05o`@000?o0000U`000ol0000900;oD`0001l0 00?o0000V0000ol0000:00;oD@0001l000?o0000V@000ol0000;00;oC`0001l000?o0000VP02o`d0 0_m=00007`000ol0002L0003o`0000`00_m;00007`000ol0002M0003o`0000d00_m900007`000ol0 002N0003o`0000h00_m700007`000ol0002O0003o`0000l00_m500007`000ol0002P0003o`000100 0_m300007`000ol0002Q0003o`0001400_m100007`000ol0002R0003o`0001800_lo00007`000ol0 002S0003o`0001<000?o0000?00001l000?o0000Y0000ol0000C00;o?00000X000?o00000`000ol0 000300Co1@000ol0002U0003o`0001@00_lj00002P000ol000080003o`00008000?o00000P000ol0 002V0003o`0001D00_lh00002P000ol0000=0003o`00008000?o0000Y`000ol0000F00;o=P0000/0 00?o000030001?l00004ojP000?o00005`000ol0000c00002`000ol0000800Co1@000ol0002Y0003 o`0001L00_lc00002`000ol000080003o`0000H000?o0000Z@000ol0000I00;o<@0000P000Go0000 o`090003o`0000H000?o0000ZP000ol0000J0003o`0002h0000800Go2@05o`@000?o0000Z`000ol0 000J00;o;P0001l000?o0000[0000ol0000K0003o`0002/0000O0003o`000:d000?o00006`02ob/0 000O0003o`000:h000?o000070000ol0000X00007`000ol0002^0003o`0001d000?o00009`0001l0 00?o0000[`000ol0000M00;o9`0001l000?o0000/0000ol0000N0003o`0002@0000O0003o`000;40 00?o00007P02ob@0000O0003o`000;8000?o00007`000ol0000Q00007`000ol0002c0003o`0001l0 00?o0000800001l000?o0000/`000ol0000P0003o`0001l0000O0003o`000;@000?o00008002oal0 000O0003o`000;D000?o00008@000ol0000L00003`05o`<00ol50003o`000;H000?o00008@000ol0 000K00004@000ol000020005o`000?l010000ol0002g0003o`00024000?o00006P00014000?o0000 0P001Ol0003o00@000?o0000]`000ol0000R00;o6P00014000?o00000P001Ol0003o00<01?nh0003 o`0002<000?o00005`00014000?o00000P001Ol0003o00@000?o0000^@000ol0000S0003o`0001H0 000A0003o`00008000Go0000o`040003o`000;X000?o00008`000ol0000E00003`03o`@000Go0000 o`040003o`000;X000?o000090000ol0000D00004@000ol0000300?o1@000ol0002k0003o`0002@0 00?o00004`0001l000?o0000_0000ol0000T0003o`000180000O0003o`000;d000?o000090000ol0 000A00007`000ol0002n0003o`0002@000?o0000400001l000?o0000_P000ol0000U00;o400001l0 00?o0000_`000ol0000V0003o`0000d0000O0003o`000;l000?o00009`000ol0000<00007`000ol0 00300003o`0002L000?o00002`0001l000?o0000`@000ol0000W0003o`0000X0000O0003o`000<40 00?o0000:0000ol0000900007`000ol000320003o`0002P000?o0000200001l000?o0000`P000ol0 000Y0003o`0000L0000O0003o`000<<000?o0000:@000ol0000600007`000ol000330003o`0002X0 00?o00001@0000030?oo00?o0P05o`<000?o00001004o`@000?o0000a0000ol0000a00000`000ol0 00020005o`000?l02@000ol000020005o`000?l0aP000ol0000a00000`000ol000030003o`0000l0 00?o00001?o50003o`00030000030003o`0000@000?o00003P001Ol0003o00003o`0002L0000A0003o`0000H0 00Co00001?o?0003o`0002H0000A0003o`0000H000?o00000P000ol0003?0003o`0002H0000A0003 o`0000801?l50003o`000=0000?o00009@00014000?o00000P000ol000060003o`000=0000?o0000 9@0000l00ol40003o`0000H000?o0000d@000ol0000T00004@000ol0000200Go10000ol0003A0003 o`0002@0000O0003o`000=8000?o00008`0001l000?o0000dP000ol0000S00007`000ol0003C0003 o`000280000O0003o`000=<000?o00008P0001l000?o0000d`000ol0000R00007`000ol0003D0003 o`000240000O0003o`000=@000?o00008@0001l000?o0000e@000ol0000P00007`000ol0003E0003 o`000200000O0003o`000=D000?o0000800001l000?o0000eP000ol0000O00007`000ol0003F0003 o`0001l000000`3oo`03o`@000?o00000`000ol0000400Co10000ol0003G0003o`0001h000030003 o`0000@000?o00002@000ol000020005o`000?l0f@000ol0000N00000`000ol000040003o`0000h0 00?o00001?oG0003o`0001h000030003o`0000D000?o00003@001Ol0003o0=X000?o00007@0000<0 00?o00001@000ol0000900Co10000ol0003H0003o`0001d000030003o`0000D000?o00002@000ol0 00050003o`000=T000?o0000700000040?ooo`@000Go0000o`0:0003o`0000D000?o0000f@000ol0 000L00000`000ol0000200Go2P05o`<000?o0000f@000ol0000L00007`000ol0003J0003o`0001/0 000O0003o`000=X000?o00006`0001l000?o0000f`000ol0000J00007`000ol0003K0003o`0001X0 000O0003o`000=/000?o00006P0001l000?o0000g0000ol0000I00007`000ol0003L0003o`0001T0 000O0003o`000=`000?o00006@000?l000?o000060000001\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-0.657839, -2.17669, 0.0205979, 0.123808}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["The FFT"], "Subsection", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["?Fourier"], "Input"], Cell[TextData[ "Fourier[list] finds the Fourier transform of a list of\n complex \ numbers."], "Info", Evaluatable->False]}, Open]], Cell[TextData[ "Experimentation will show that Mathematica's Fourier function is smart about \ powers of 2. If you give it a list of numbers which is a power of 2 in \ length, execution speed is much faster. Here are two examples"], "Text", Evaluatable->False], Cell[TextData["Fourier[Range[4096]];\t(* Takes about two seconds *)"], "Text", Evaluatable->False], Cell[TextData["Fourier[Range[4097]];\t(* Takes about ten seconds *)"], "Text", Evaluatable->False], Cell[TextData[ "One thing we have to watch out for is alternate definitions of the Fourier \ transform. Let's check it out:"], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData[ "Fourier[{1,0,0,0}] (* See what it does to an impulse *)"], "Input"], Cell[OutputFormData["\<\ {0.5, 0.5, 0.5, 0.5}\ \>", "\<\ {0.5, 0.5, 0.5, 0.5}\ \>"], "Output", Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData["Fourier[{0,1,0,0}] (* Add a unit-sample delay *)"], "Input"], Cell[OutputFormData["\<\ {0.5, 1.110223024625157*10^-16 + 0.5*I, -0.5, -(1.110223024625157*10^-16) - 0.5*I}\ \>", "\<\ -16 {0.5, 1.11022 10 + 0.5 I, -0.5, -16 -1.11022 10 - 0.5 I}\ \>"], "Output", Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData["Chop[%]"], "Input"], Cell[OutputFormData["\<\ {0.5, 0.5*I, -0.5, -0.5*I}\ \>", "\<\ {0.5, 0.5 I, -0.5, -0.5 I}\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData[ "The above indicate that Fourier normalizes by (1/Sqrt[NN]) (which we do not \ want) and it uses Exp[j 2 Pi k n / NN] as the kernel instead of Exp[-j 2 Pi k \ n / NN]. If we agree only to look at real sequences in the time domain, we \ may compensate as follows: "], "Text", Evaluatable->False], Cell[TextData[ "fft[x_] := Chop[N[Sqrt[Length[x]] Conjugate[Fourier[x]]]]"], "Input"], Cell[CellGroupData[{Cell[TextData["fft[{1,0,0,0}] (* See what it does to an impulse *)"], "Input"], Cell[OutputFormData["\<\ {1., 1., 1., 1.}\ \>", "\<\ {1., 1., 1., 1.}\ \>"], "Output", Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData["fft[{0,1,0,0}] (* Look at Exp[-j 2 Pi k n / NN] *)"], "Input"], Cell[OutputFormData["\<\ {1., -1.*I, -1., 1.*I}\ \>", "\<\ {1., -1. I, -1., 1. I}\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData["That's better"], "Text", Evaluatable->False]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["The Kaiser Window"], "Section", Evaluatable->False], Cell[TextData[ "kaiserUN[n_] := If[ n < nl || n > nu, 0,\n\t\tN[I0[beta Sqrt[1 - \ (n/nu)^2]]/I0[beta]]];"], "Input"], Cell[CellGroupData[{Cell[TextData["kscale = 1/N[Sum[kaiserUN[n],{n,nl,nu}]]"], "Input"], Cell[OutputFormData["\<\ 0.07044249947127659\ \>", "\<\ 0.0704425\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData["kaiser[n_] := kscale kaiserUN[n];"], "Input"], Cell[TextData["Display the Kasier window itself:"], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Plot[kaiser[n],{n,nl,nu}];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart % Scaling calculations 0.5 0.03663 0.01472 8.35581 [ [(-10)] 0.1337 0.00222 0 1 Msboxa [(-5)] 0.31685 0.00222 0 1 Msboxa [(5)] 0.68315 0.00222 0 1 Msboxa [(10)] 0.8663 0.00222 0 1 Msboxa [(0.01)] 0.4875 0.09827 1 0 Msboxa [(0.02)] 0.4875 0.18183 1 0 Msboxa [(0.03)] 0.4875 0.26539 1 0 Msboxa [(0.04)] 0.4875 0.34895 1 0 Msboxa [(0.05)] 0.4875 0.43251 1 0 Msboxa [(0.06)] 0.4875 0.51606 1 0 Msboxa [(0.07)] 0.4875 0.59962 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke 0.1337 0.00847 moveto 0.1337 0.02097 lineto stroke 0 setgray [(-10)] 0.1337 0.00222 0 1 Mshowa 0.31685 0.00847 moveto 0.31685 0.02097 lineto stroke 0 setgray [(-5)] 0.31685 0.00222 0 1 Mshowa 0.68315 0.00847 moveto 0.68315 0.02097 lineto stroke 0 setgray [(5)] 0.68315 0.00222 0 1 Mshowa 0.8663 0.00847 moveto 0.8663 0.02097 lineto stroke 0 setgray [(10)] 0.8663 0.00222 0 1 Mshowa 0.5 0 moveto 0.5 0.61803 lineto stroke 0.49375 0.09827 moveto 0.50625 0.09827 lineto stroke 0 setgray [(0.01)] 0.4875 0.09827 1 0 Mshowa 0.49375 0.18183 moveto 0.50625 0.18183 lineto stroke 0 setgray [(0.02)] 0.4875 0.18183 1 0 Mshowa 0.49375 0.26539 moveto 0.50625 0.26539 lineto stroke 0 setgray [(0.03)] 0.4875 0.26539 1 0 Mshowa 0.49375 0.34895 moveto 0.50625 0.34895 lineto stroke 0 setgray [(0.04)] 0.4875 0.34895 1 0 Mshowa 0.49375 0.43251 moveto 0.50625 0.43251 lineto stroke 0 setgray [(0.05)] 0.4875 0.43251 1 0 Mshowa 0.49375 0.51606 moveto 0.50625 0.51606 lineto stroke 0 setgray [(0.06)] 0.4875 0.51606 1 0 Mshowa 0.49375 0.59962 moveto 0.50625 0.59962 lineto stroke 0 setgray [(0.07)] 0.4875 0.59962 1 0 Mshowa grestore grestore 0 0 moveto 1 0 lineto 1 0.618034 lineto 0 0.618034 lineto closepath clip newpath 0 setgray gsave gsave 0.004 setlinewidth 0.02381 0.03632 moveto 0.06349 0.06391 lineto 0.10317 0.10201 lineto 0.14286 0.15041 lineto 0.18254 0.2079 lineto 0.22222 0.27219 lineto 0.2619 0.34013 lineto 0.30159 0.40783 lineto 0.34127 0.47107 lineto 0.38095 0.52563 lineto 0.40079 0.54844 lineto 0.42063 0.5677 lineto 0.44048 0.58306 lineto 0.4504 0.58919 lineto 0.46032 0.59425 lineto 0.47024 0.5982 lineto 0.4752 0.59976 lineto 0.48016 0.60104 lineto 0.48512 0.60204 lineto 0.4876 0.60243 lineto 0.49008 0.60275 lineto 0.49256 0.603 lineto 0.4938 0.6031 lineto 0.49504 0.60318 lineto 0.49628 0.60324 lineto 0.49752 0.60328 lineto 0.49876 0.60331 lineto 0.5 0.60332 lineto 0.50124 0.60331 lineto 0.50248 0.60328 lineto 0.50372 0.60324 lineto 0.50496 0.60318 lineto 0.5062 0.6031 lineto 0.50744 0.603 lineto 0.50992 0.60275 lineto 0.5124 0.60243 lineto 0.51488 0.60204 lineto 0.51984 0.60104 lineto 0.5248 0.59976 lineto 0.52976 0.5982 lineto 0.53968 0.59425 lineto 0.55952 0.58306 lineto 0.57937 0.5677 lineto 0.61905 0.52563 lineto 0.65873 0.47107 lineto 0.69841 0.40783 lineto 0.7381 0.34013 lineto 0.77778 0.27219 lineto 0.81746 0.2079 lineto 0.85714 0.15041 lineto Mistroke 0.89683 0.10201 lineto 0.93651 0.06391 lineto 0.97619 0.03632 lineto Mfstroke grestore grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc0000ol0 000b0005o`000?l02@001Ol0003o00<000Go0000o`040003o`00054000?o0000=`0003P000?o0000 <`03o`/00ol500?o1@000ol0001A0003o`0003L0000i0003o`00050000?o0000D0000ol0000h0000 >P000ol0001?0003o`0004l000?o0000>@0003X000?o0000C`000ol0001?0003o`0003T0000k0003 o`0004h000?o0000CP000ol0000j0000?0000ol0001=0003o`0004d000?o0000>`0003`000?o0000 C@000ol0001=0003o`0003/0000m0003o`0004`000?o0000C0000ol0000l0000?P000ol0001;0003 o`0004/000?o0000?@0003h000?o0000B`000ol0001;0003o`0003d0000o0003o`0004X000?o0000 BP000ol0000n0000@0000ol000190003o`0004T000?o0000?`00040000?o0000B@000ol000190003 o`0003l000110003o`0004P000?o0000B0000ol000100000@@000ol000180003o`0004P000?o0000 @000048000?o0000:@03o`@000?o00001003o`D00ol50003o`0004L000?o0000@@0004<000?o0000 9`001Ol0003o00T000Go0000o`030005o`000?l010000ol000160003o`00048000130003o`0002L0 00Go0000o`090005o`000?l01`000ol00005odH000?o0000@P0004@000?o00009P001Ol0003o00T0 00Go0000o`070003o`00008000?o0000A@000ol000130000A@000ol0000U0005o`000?l02@001Ol0 003o00D00_l50003o`0004@000?o0000A00004D000?o00009@001Ol0003o00T000Go0000o`070003 o`00008000?o0000A0000ol000140000AP000ol0000T0005o`000?l02@001Ol0003o00<000Go0000 o`040003o`0004<000?o0000A@0004H000?o00009@03o`/00ol500?o1@000ol000130003o`0004D0 00170003o`00048000?o0000@P000ol000160000B0000ol000110003o`00044000?o0000A`0004P0 00?o0000@@000ol000110003o`0004L000190003o`00040000?o0000@0000ol000180000B@000ol0 00100003o`00040000?o0000B00004X000?o0000?`000ol0000o0003o`0004T0001;0003o`0003h0 00?o0000?P000ol0001:0000B`000ol0000n0003o`0003h000?o0000BP0004`000?o0000?@000ol0 000m0003o`0004/0001<0003o`0003d000?o0000?@000ol0001;0000C@000ol0000l0003o`0003`0 00?o0000C00004h000?o0000>`000ol0000k0003o`0004d0001>0003o`0003/000?o0000>`000ol0 001=0000C`000ol0000L00?o10000ol0000400?o1P03o`@000?o0000>P000ol0001>0000C`000ol0 000K0005o`000?l02@001Ol0003o00H000?o00000`000ol0000j0003o`0004h0001@0003o`0001X0 00Go0000o`090005o`000?l00P06o`@000?o0000>@000ol0001?0000D0000ol0000J0005o`000?l0 2@001Ol0003o008000Go0000o`0300Go>@000ol0001?0000D@000ol0000I0005o`000?l02@001Ol0 003o00<000Co003o1@000ol0000h0003o`000500001B0003o`0001P000Go0000o`090005o`000?l0 10000ol0o`050003o`0003L000?o0000D@00058000?o000060001Ol0003o00T000Go0000o`0500;o 1@000ol0000g0003o`000540001C0003o`0001P00ol;00?o1`000ol000030003o`0003H000?o0000 DP0005<000?o0000=P000ol0000f0003o`000580001D0003o`0003D000?o0000=@000ol0001C0000 E0000ol0000e0003o`0003D000?o0000D`0005D000?o0000=0000ol0000d0003o`0005@0001E0003 o`0003@000?o0000=0000ol0001D0000EP000ol0000c0003o`0003<000?o0000E@0005L000?o0000 0005o`000?l02@001Ol0003o008000?o0000 0P000ol000020003o`0002d000?o0000F`0005`000?o00003P001Ol0003o00T000Go0000o`070003 o`0000Go;@000ol0001K0000G@000ol0000=0005o`000?l02@001Ol0003o00L000?o00000P000ol0 000/0003o`0005`0001N0003o`0000`000Go0000o`090005o`000?l00`04o`D000?o0000:`000ol0 001M0000GP000ol0000<0005o`000?l02@001Ol0003o00<000?o00001P000ol0000[0003o`0005d0 001O0003o`0000/000Go0000o`090005o`000?l00`000ol000060003o`0002X000?o0000GP000600 00?o00002`03o`/00ol400Go10000ol0000Y0003o`0005l0001P0003o`0002T000?o0000:@000ol0 001O0000H@000ol0000X0003o`0002P000?o0000H000064000?o0000:0000ol0000X0003o`000600 001R0003o`0002L000?o00009`000ol0001Q0000H`000ol0000V0003o`0002H000?o0000HP0006<0 00?o00009P000ol0000V0003o`000680001T0003o`0002D000?o00009@000ol0001S0000I@000ol0 000T0003o`0002@000?o0000I00006H000?o00008`000ol0000S0003o`0006D0001V0003o`0002<0 00?o00008`000ol0001U0000I`000ol0000R0003o`00028000?o0000IP0006P000?o00008@000ol0 000Q0003o`0006L0001X0003o`00024000?o00008@000ol0001W0000J@000ol0000200?o10000ol0 000400?o1@03o`D000?o000080000ol0001X0000JP001?l00?l30003o`0000L000Go0000o`030005 o`000?l010000ol0000O0003o`0006T0001[0003o`3o00<000?o00001`001Ol0003o00<000Go0000 o`040003o`0001h000?o0000JP0006/000?o0?l00`000ol000070005o`000?l00`001Ol0003o0080 1OlN0003o`0006X0001/00;o0`000ol000070005o`000?l00`04o`D000?o00007@000ol0001[0000 K@001Ol0003o00T000Go0000o`030003o`0000H000?o000070000ol0001/0000K@02o`8000?o0000 1`001Ol0003o00@000?o00001@000ol0000K0003o`0006d0001^00?o2`03o`H00ol40003o`0001X0 00?o0000KP00070000?o00006@000ol0000I0003o`0006l0001a0003o`0001P000?o000060000ol0 001`0000LP000ol0000G0003o`0001L000?o0000L@0007<000?o00005P000ol0000F0003o`000780 001d0003o`0001D000?o00005@000ol0001c0000M@000ol0000D0003o`0001@000?o0000M00007H0 00?o00004`000ol0000C0003o`0007D0001g0003o`00018000?o00004P000ol0001f0000N002oa80 00?o00004002ogT0001j0003o`0000l000?o00003`000ol0001i0000N`000ol0000>0003o`0000h0 00?o0000NP0007`000?o00003@000ol0000=0003o`0007/0001m00;o3@000ol0000;00;oOP0006h0 0ol40003o`0000@01Ol40003o`0000@000?o00002@02oh00001]0005o`000?l02@001ol0003o0?l0 0`000ol000040003o`0000P000?o0000P00006d000Go0000o`090005o`000?l00P02o`030?l000D0 00?o00001P02oh<0001]0005o`000?l02@001Ol0003o00@01?l200Go0P04ohD0001]0005o`000?l0 2@001Ol0003o00H000?o0?l02?n90000K@001Ol0003o00T000Go0000o`060003o`0000<000?o0000 R`0006d000Go0000o`090005o`000?l00`001Ol0003o00@000?o0000R`0006h00ol;00?o1005o`@0 00?o0000R`0008`000?o0000R`000?l06`000001\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-14.928, -0.00755135, 0.106249, 0.000465771}}]}, Open]], Cell[TextData[ "Display the Kasier window and the zero padding to be used in the DFT:"], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Plot[kaiser[n],{n,-NN/2,NN/2-1}];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart % Scaling calculations 0.50093 0.00186 0.01472 8.35883 [ [(-200)] 0.12818 0.00222 0 1 Msboxa [(-100)] 0.31456 0.00222 0 1 Msboxa [(100)] 0.68731 0.00222 0 1 Msboxa [(200)] 0.87368 0.00222 0 1 Msboxa [(0.01)] 0.48843 0.0983 1 0 Msboxa [(0.02)] 0.48843 0.18189 1 0 Msboxa [(0.03)] 0.48843 0.26548 1 0 Msboxa [(0.04)] 0.48843 0.34907 1 0 Msboxa [(0.05)] 0.48843 0.43266 1 0 Msboxa [(0.06)] 0.48843 0.51624 1 0 Msboxa [(0.07)] 0.48843 0.59983 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke 0.12818 0.00847 moveto 0.12818 0.02097 lineto stroke 0 setgray [(-200)] 0.12818 0.00222 0 1 Mshowa 0.31456 0.00847 moveto 0.31456 0.02097 lineto stroke 0 setgray [(-100)] 0.31456 0.00222 0 1 Mshowa 0.68731 0.00847 moveto 0.68731 0.02097 lineto stroke 0 setgray [(100)] 0.68731 0.00222 0 1 Mshowa 0.87368 0.00847 moveto 0.87368 0.02097 lineto stroke 0 setgray [(200)] 0.87368 0.00222 0 1 Mshowa 0.50093 0 moveto 0.50093 0.61803 lineto stroke 0.49468 0.0983 moveto 0.50718 0.0983 lineto stroke 0 setgray [(0.01)] 0.48843 0.0983 1 0 Mshowa 0.49468 0.18189 moveto 0.50718 0.18189 lineto stroke 0 setgray [(0.02)] 0.48843 0.18189 1 0 Mshowa 0.49468 0.26548 moveto 0.50718 0.26548 lineto stroke 0 setgray [(0.03)] 0.48843 0.26548 1 0 Mshowa 0.49468 0.34907 moveto 0.50718 0.34907 lineto stroke 0 setgray [(0.04)] 0.48843 0.34907 1 0 Mshowa 0.49468 0.43266 moveto 0.50718 0.43266 lineto stroke 0 setgray [(0.05)] 0.48843 0.43266 1 0 Mshowa 0.49468 0.51624 moveto 0.50718 0.51624 lineto stroke 0 setgray [(0.06)] 0.48843 0.51624 1 0 Mshowa 0.49468 0.59983 moveto 0.50718 0.59983 lineto stroke 0 setgray [(0.07)] 0.48843 0.59983 1 0 Mshowa grestore grestore 0 0 moveto 1 0 lineto 1 0.618034 lineto 0 0.618034 lineto closepath clip newpath 0 setgray gsave gsave 0.004 setlinewidth 0.02381 0.01472 moveto 0.06349 0.01472 lineto 0.10317 0.01472 lineto 0.14286 0.01472 lineto 0.18254 0.01472 lineto 0.22222 0.01472 lineto 0.2619 0.01472 lineto 0.30159 0.01472 lineto 0.34127 0.01472 lineto 0.38095 0.01472 lineto 0.42063 0.01472 lineto 0.44048 0.01472 lineto 0.46032 0.01472 lineto 0.46528 0.01472 lineto 0.47024 0.01472 lineto 0.47272 0.01472 lineto 0.4752 0.01472 lineto 0.47644 0.01472 lineto 0.47768 0.04838 lineto 0.48016 0.08996 lineto 0.48264 0.14728 lineto 0.48512 0.21839 lineto 0.49008 0.38287 lineto 0.49256 0.46241 lineto 0.49504 0.52977 lineto 0.49628 0.55663 lineto 0.49752 0.57791 lineto 0.49876 0.59304 lineto 0.5 0.60159 lineto 0.50124 0.60332 lineto 0.50248 0.59818 lineto 0.50372 0.58632 lineto 0.50496 0.56807 lineto 0.50744 0.51458 lineto 0.50992 0.44347 lineto 0.51488 0.2784 lineto 0.51736 0.19962 lineto 0.51984 0.13163 lineto 0.52232 0.07813 lineto 0.52356 0.05734 lineto 0.5248 0.04049 lineto 0.52604 0.01472 lineto 0.52728 0.01472 lineto 0.52976 0.01472 lineto 0.53224 0.01472 lineto 0.53472 0.01472 lineto 0.53968 0.01472 lineto 0.57937 0.01472 lineto 0.61905 0.01472 lineto 0.65873 0.01472 lineto Mistroke 0.69841 0.01472 lineto 0.7381 0.01472 lineto 0.77778 0.01472 lineto 0.81746 0.01472 lineto 0.85714 0.01472 lineto 0.89683 0.01472 lineto 0.93651 0.01472 lineto 0.97619 0.01472 lineto Mfstroke grestore grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-294.588, -0.00755075, 2.09315, 0.000465767}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["The Kaiser Window Transform"], "Section", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Theoretical Approximation"], "Subsection", Evaluatable->False], Cell[TextData[ "The following closed-form expression for the transform appears in Harris. \ It can be thought of as a \"hyberbolic sinc function\" (which I suppose \ should be denoted \"sinch\") when beta is zero. The beta parameter serves to \ flatten the function near the origin. "], "Text", Evaluatable->False], Cell[TextData[ "Clear[Wh,WhUN];\nWhUN[o_] := (M/I0[beta]) Sinh[z]/z /. z->Sqrt[beta^2-(M \ o/2)^2];\nWh[o_] := WhUN[o]/WhUN[0];"], "Input"], Cell["", "Input"], Cell[TextData["Wht = Table[N[Wh[2 Pi i / NN]],{i,-NN/2,NN/2 - 1}];"], "Input"], Cell[CellGroupData[{Cell[TextData["ListPlot[Wht, PlotRange->All];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.021946 0.001864 0.023162 0.580157 [ [(100)] 0.20832 0.02316 0 2 Msboxa [(200)] 0.3947 0.02316 0 2 Msboxa [(300)] 0.58107 0.02316 0 2 Msboxa [(400)] 0.76745 0.02316 0 2 Msboxa [(500)] 0.95383 0.02316 0 2 Msboxa [(0.2)] 0.00945 0.13919 1 0 Msboxa [(0.4)] 0.00945 0.25522 1 0 Msboxa [(0.6)] 0.00945 0.37126 1 0 Msboxa [(0.8)] 0.00945 0.48729 1 0 Msboxa [(1)] 0.00945 0.60332 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20832 0.02316 moveto 0.20832 0.02941 lineto stroke grestore [(100)] 0.20832 0.02316 0 2 Mshowa gsave 0.002 setlinewidth 0.3947 0.02316 moveto 0.3947 0.02941 lineto stroke grestore [(200)] 0.3947 0.02316 0 2 Mshowa gsave 0.002 setlinewidth 0.58107 0.02316 moveto 0.58107 0.02941 lineto stroke grestore [(300)] 0.58107 0.02316 0 2 Mshowa gsave 0.002 setlinewidth 0.76745 0.02316 moveto 0.76745 0.02941 lineto stroke grestore [(400)] 0.76745 0.02316 0 2 Mshowa gsave 0.002 setlinewidth 0.95383 0.02316 moveto 0.95383 0.02941 lineto stroke grestore [(500)] 0.95383 0.02316 0 2 Mshowa gsave 0.001 setlinewidth 0.05922 0.02316 moveto 0.05922 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.0965 0.02316 moveto 0.0965 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.13377 0.02316 moveto 0.13377 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.17105 0.02316 moveto 0.17105 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.2456 0.02316 moveto 0.2456 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.28287 0.02316 moveto 0.28287 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.32015 0.02316 moveto 0.32015 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.35742 0.02316 moveto 0.35742 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.43197 0.02316 moveto 0.43197 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.46925 0.02316 moveto 0.46925 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.50652 0.02316 moveto 0.50652 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.5438 0.02316 moveto 0.5438 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.61835 0.02316 moveto 0.61835 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.65562 0.02316 moveto 0.65562 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.6929 0.02316 moveto 0.6929 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.73017 0.02316 moveto 0.73017 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.80472 0.02316 moveto 0.80472 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.842 0.02316 moveto 0.842 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.87927 0.02316 moveto 0.87927 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.91655 0.02316 moveto 0.91655 0.02691 lineto stroke grestore gsave 0.001 setlinewidth 0.9911 0.02316 moveto 0.9911 0.02691 lineto stroke grestore gsave 0.002 setlinewidth 0 0.02316 moveto 1 0.02316 lineto stroke grestore gsave 0.002 setlinewidth 0.02195 0.13919 moveto 0.0282 0.13919 lineto stroke grestore [(0.2)] 0.00945 0.13919 1 0 Mshowa gsave 0.002 setlinewidth 0.02195 0.25522 moveto 0.0282 0.25522 lineto stroke grestore [(0.4)] 0.00945 0.25522 1 0 Mshowa gsave 0.002 setlinewidth 0.02195 0.37126 moveto 0.0282 0.37126 lineto stroke grestore [(0.6)] 0.00945 0.37126 1 0 Mshowa gsave 0.002 setlinewidth 0.02195 0.48729 moveto 0.0282 0.48729 lineto stroke grestore [(0.8)] 0.00945 0.48729 1 0 Mshowa gsave 0.002 setlinewidth 0.02195 0.60332 moveto 0.0282 0.60332 lineto stroke grestore [(1)] 0.00945 0.60332 1 0 Mshowa gsave 0.001 setlinewidth 0.02195 0.04637 moveto 0.0257 0.04637 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.06957 moveto 0.0257 0.06957 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.09278 moveto 0.0257 0.09278 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.11599 moveto 0.0257 0.11599 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.1624 moveto 0.0257 0.1624 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.18561 moveto 0.0257 0.18561 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.20881 moveto 0.0257 0.20881 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.23202 moveto 0.0257 0.23202 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.27843 moveto 0.0257 0.27843 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.30164 moveto 0.0257 0.30164 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.32484 moveto 0.0257 0.32484 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.34805 moveto 0.0257 0.34805 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.39446 moveto 0.0257 0.39446 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.41767 moveto 0.0257 0.41767 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.44087 moveto 0.0257 0.44087 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.46408 moveto 0.0257 0.46408 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.51049 moveto 0.0257 0.51049 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.5337 moveto 0.0257 0.5337 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.55691 moveto 0.0257 0.55691 lineto stroke grestore gsave 0.001 setlinewidth 0.02195 0.58011 moveto 0.0257 0.58011 lineto stroke grestore gsave 0.002 setlinewidth 0.02195 0 moveto 0.02195 0.61803 lineto stroke grestore grestore gsave 0.008 setlinewidth 0.02381 0.02227 Mdot 0.02567 0.02233 Mdot 0.02754 0.02241 Mdot 0.0294 0.02251 Mdot 0.03126 0.02262 Mdot 0.03313 0.02276 Mdot 0.03499 0.0229 Mdot 0.03686 0.02306 Mdot 0.03872 0.02322 Mdot 0.04058 0.02338 Mdot 0.04245 0.02353 Mdot 0.04431 0.02368 Mdot 0.04617 0.02381 Mdot 0.04804 0.02393 Mdot 0.0499 0.02402 Mdot 0.05177 0.02409 Mdot 0.05363 0.02414 Mdot 0.05549 0.02416 Mdot 0.05736 0.02415 Mdot 0.05922 0.02411 Mdot 0.06108 0.02405 Mdot 0.06295 0.02396 Mdot 0.06481 0.02385 Mdot 0.06668 0.02372 Mdot 0.06854 0.02357 Mdot 0.0704 0.02341 Mdot 0.07227 0.02324 Mdot 0.07413 0.02307 Mdot 0.07599 0.02289 Mdot 0.07786 0.02273 Mdot 0.07972 0.02257 Mdot 0.08159 0.02243 Mdot 0.08345 0.02231 Mdot 0.08531 0.02221 Mdot 0.08718 0.02214 Mdot 0.08904 0.02209 Mdot 0.0909 0.02208 Mdot 0.09277 0.02209 Mdot 0.09463 0.02214 Mdot 0.0965 0.02221 Mdot 0.09836 0.02231 Mdot 0.10022 0.02244 Mdot 0.10209 0.02259 Mdot 0.10395 0.02275 Mdot 0.10581 0.02293 Mdot 0.10768 0.02312 Mdot 0.10954 0.02331 Mdot 0.11141 0.02349 Mdot 0.11327 0.02367 Mdot 0.11513 0.02384 Mdot 0.117 0.02399 Mdot 0.11886 0.02412 Mdot 0.12073 0.02422 Mdot 0.12259 0.02429 Mdot 0.12445 0.02434 Mdot 0.12632 0.02435 Mdot 0.12818 0.02432 Mdot 0.13004 0.02427 Mdot 0.13191 0.02418 Mdot 0.13377 0.02406 Mdot 0.13564 0.02392 Mdot 0.1375 0.02375 Mdot 0.13936 0.02356 Mdot 0.14123 0.02337 Mdot 0.14309 0.02316 Mdot 0.14495 0.02295 Mdot 0.14682 0.02274 Mdot 0.14868 0.02255 Mdot 0.15055 0.02237 Mdot 0.15241 0.02221 Mdot 0.15427 0.02207 Mdot 0.15614 0.02197 Mdot 0.158 0.02189 Mdot 0.15986 0.02186 Mdot 0.16173 0.02186 Mdot 0.16359 0.02189 Mdot 0.16546 0.02196 Mdot 0.16732 0.02207 Mdot 0.16918 0.02221 Mdot 0.17105 0.02238 Mdot 0.17291 0.02257 Mdot 0.17477 0.02278 Mdot 0.17664 0.023 Mdot 0.1785 0.02324 Mdot 0.18037 0.02347 Mdot 0.18223 0.02369 Mdot 0.18409 0.02391 Mdot 0.18596 0.0241 Mdot 0.18782 0.02428 Mdot 0.18968 0.02442 Mdot 0.19155 0.02453 Mdot 0.19341 0.0246 Mdot 0.19528 0.02463 Mdot 0.19714 0.02461 Mdot 0.199 0.02456 Mdot 0.20087 0.02447 Mdot 0.20273 0.02434 Mdot 0.20459 0.02417 Mdot 0.20646 0.02397 Mdot 0.20832 0.02375 Mdot 0.21019 0.0235 Mdot 0.21205 0.02325 Mdot 0.21391 0.02298 Mdot 0.21578 0.02272 Mdot 0.21764 0.02247 Mdot 0.2195 0.02223 Mdot 0.22137 0.02202 Mdot 0.22323 0.02184 Mdot 0.2251 0.02169 Mdot 0.22696 0.02158 Mdot 0.22882 0.02152 Mdot 0.23069 0.0215 Mdot 0.23255 0.02153 Mdot 0.23441 0.02161 Mdot 0.23628 0.02173 Mdot 0.23814 0.0219 Mdot 0.24001 0.02211 Mdot 0.24187 0.02235 Mdot 0.24373 0.02261 Mdot 0.2456 0.0229 Mdot 0.24746 0.0232 Mdot 0.24932 0.0235 Mdot 0.25119 0.0238 Mdot 0.25305 0.02409 Mdot 0.25492 0.02435 Mdot 0.25678 0.02458 Mdot 0.25864 0.02477 Mdot 0.26051 0.02492 Mdot 0.26237 0.02503 Mdot 0.26423 0.02507 Mdot 0.2661 0.02507 Mdot 0.26796 0.02501 Mdot 0.26983 0.02489 Mdot 0.27169 0.02472 Mdot 0.27355 0.0245 Mdot 0.27542 0.02424 Mdot 0.27728 0.02394 Mdot 0.27914 0.02361 Mdot 0.28101 0.02326 Mdot 0.28287 0.02291 Mdot 0.28474 0.02255 Mdot 0.2866 0.02221 Mdot 0.28846 0.02189 Mdot 0.29033 0.02159 Mdot 0.29219 0.02134 Mdot 0.29405 0.02114 Mdot 0.29592 0.021 Mdot 0.29778 0.02092 Mdot 0.29965 0.0209 Mdot 0.30151 0.02095 Mdot 0.30337 0.02107 Mdot 0.30524 0.02125 Mdot 0.3071 0.02149 Mdot 0.30896 0.0218 Mdot 0.31083 0.02214 Mdot 0.31269 0.02253 Mdot 0.31456 0.02295 Mdot 0.31642 0.02338 Mdot 0.31828 0.02382 Mdot 0.32015 0.02424 Mdot 0.32201 0.02465 Mdot 0.32387 0.02501 Mdot 0.32574 0.02533 Mdot 0.3276 0.02559 Mdot 0.32947 0.02579 Mdot 0.33133 0.0259 Mdot 0.33319 0.02593 Mdot 0.33506 0.02588 Mdot 0.33692 0.02574 Mdot 0.33878 0.02552 Mdot 0.34065 0.02521 Mdot 0.34251 0.02483 Mdot 0.34438 0.02439 Mdot 0.34624 0.0239 Mdot 0.3481 0.02336 Mdot 0.34997 0.02281 Mdot 0.35183 0.02224 Mdot 0.35369 0.02169 Mdot 0.35556 0.02117 Mdot 0.35742 0.0207 Mdot 0.35929 0.0203 Mdot 0.36115 0.01997 Mdot 0.36301 0.01974 Mdot 0.36488 0.01961 Mdot 0.36674 0.0196 Mdot 0.3686 0.01971 Mdot 0.37047 0.01994 Mdot 0.37233 0.02029 Mdot 0.3742 0.02076 Mdot 0.37606 0.02132 Mdot 0.37792 0.02198 Mdot 0.37979 0.0227 Mdot 0.38165 0.02347 Mdot 0.38352 0.02427 Mdot 0.38538 0.02507 Mdot 0.38724 0.02583 Mdot 0.38911 0.02653 Mdot 0.39097 0.02714 Mdot 0.39283 0.02763 Mdot 0.3947 0.02798 Mdot 0.39656 0.02816 Mdot 0.39843 0.02815 Mdot 0.40029 0.02794 Mdot 0.40215 0.02752 Mdot 0.40402 0.02689 Mdot 0.40588 0.02605 Mdot 0.40774 0.02503 Mdot 0.40961 0.02385 Mdot 0.41147 0.02253 Mdot 0.41334 0.02114 Mdot 0.4152 0.01971 Mdot 0.41706 0.01833 Mdot 0.41893 0.01705 Mdot 0.42079 0.01596 Mdot 0.42265 0.01515 Mdot 0.42452 0.01472 Mdot 0.42638 0.01476 Mdot 0.42825 0.01539 Mdot 0.43011 0.01671 Mdot 0.43197 0.01882 Mdot 0.43384 0.02185 Mdot 0.4357 0.02588 Mdot 0.43756 0.03101 Mdot 0.43943 0.03734 Mdot 0.44129 0.04494 Mdot 0.44316 0.05389 Mdot 0.44502 0.06423 Mdot 0.44688 0.076 Mdot 0.44875 0.08923 Mdot 0.45061 0.10393 Mdot 0.45247 0.12007 Mdot 0.45434 0.13761 Mdot 0.4562 0.15651 Mdot 0.45807 0.17669 Mdot 0.45993 0.19804 Mdot 0.46179 0.22045 Mdot 0.46366 0.24378 Mdot 0.46552 0.26788 Mdot 0.46738 0.29257 Mdot 0.46925 0.31766 Mdot 0.47111 0.34295 Mdot 0.47298 0.36823 Mdot 0.47484 0.39329 Mdot 0.4767 0.4179 Mdot 0.47857 0.44182 Mdot 0.48043 0.46484 Mdot 0.48229 0.48674 Mdot 0.48416 0.50729 Mdot 0.48602 0.52629 Mdot 0.48789 0.54356 Mdot 0.48975 0.5589 Mdot 0.49161 0.57217 Mdot 0.49348 0.58322 Mdot 0.49534 0.59194 Mdot 0.4972 0.59824 Mdot 0.49907 0.60205 Mdot 0.50093 0.60332 Mdot 0.5028 0.60205 Mdot 0.50466 0.59824 Mdot 0.50652 0.59194 Mdot 0.50839 0.58322 Mdot 0.51025 0.57217 Mdot 0.51211 0.5589 Mdot 0.51398 0.54356 Mdot 0.51584 0.52629 Mdot 0.51771 0.50729 Mdot 0.51957 0.48674 Mdot 0.52143 0.46484 Mdot 0.5233 0.44182 Mdot 0.52516 0.4179 Mdot 0.52702 0.39329 Mdot 0.52889 0.36823 Mdot 0.53075 0.34295 Mdot 0.53262 0.31766 Mdot 0.53448 0.29257 Mdot 0.53634 0.26788 Mdot 0.53821 0.24378 Mdot 0.54007 0.22045 Mdot 0.54193 0.19804 Mdot 0.5438 0.17669 Mdot 0.54566 0.15651 Mdot 0.54753 0.13761 Mdot 0.54939 0.12007 Mdot 0.55125 0.10393 Mdot 0.55312 0.08923 Mdot 0.55498 0.076 Mdot 0.55684 0.06423 Mdot 0.55871 0.05389 Mdot 0.56057 0.04494 Mdot 0.56244 0.03734 Mdot 0.5643 0.03101 Mdot 0.56616 0.02588 Mdot 0.56803 0.02185 Mdot 0.56989 0.01882 Mdot 0.57175 0.01671 Mdot 0.57362 0.01539 Mdot 0.57548 0.01476 Mdot 0.57735 0.01472 Mdot 0.57921 0.01515 Mdot 0.58107 0.01596 Mdot 0.58294 0.01705 Mdot 0.5848 0.01833 Mdot 0.58666 0.01971 Mdot 0.58853 0.02114 Mdot 0.59039 0.02253 Mdot 0.59226 0.02385 Mdot 0.59412 0.02503 Mdot 0.59598 0.02605 Mdot 0.59785 0.02689 Mdot 0.59971 0.02752 Mdot 0.60157 0.02794 Mdot 0.60344 0.02815 Mdot 0.6053 0.02816 Mdot 0.60717 0.02798 Mdot 0.60903 0.02763 Mdot 0.61089 0.02714 Mdot 0.61276 0.02653 Mdot 0.61462 0.02583 Mdot 0.61648 0.02507 Mdot 0.61835 0.02427 Mdot 0.62021 0.02347 Mdot 0.62208 0.0227 Mdot 0.62394 0.02198 Mdot 0.6258 0.02132 Mdot 0.62767 0.02076 Mdot 0.62953 0.02029 Mdot 0.6314 0.01994 Mdot 0.63326 0.01971 Mdot 0.63512 0.0196 Mdot 0.63699 0.01961 Mdot 0.63885 0.01974 Mdot 0.64071 0.01997 Mdot 0.64258 0.0203 Mdot 0.64444 0.0207 Mdot 0.64631 0.02117 Mdot 0.64817 0.02169 Mdot 0.65003 0.02224 Mdot 0.6519 0.02281 Mdot 0.65376 0.02336 Mdot 0.65562 0.0239 Mdot 0.65749 0.02439 Mdot 0.65935 0.02483 Mdot 0.66122 0.02521 Mdot 0.66308 0.02552 Mdot 0.66494 0.02574 Mdot 0.66681 0.02588 Mdot 0.66867 0.02593 Mdot 0.67053 0.0259 Mdot 0.6724 0.02579 Mdot 0.67426 0.02559 Mdot 0.67613 0.02533 Mdot 0.67799 0.02501 Mdot 0.67985 0.02465 Mdot 0.68172 0.02424 Mdot 0.68358 0.02382 Mdot 0.68544 0.02338 Mdot 0.68731 0.02295 Mdot 0.68917 0.02253 Mdot 0.69104 0.02214 Mdot 0.6929 0.0218 Mdot 0.69476 0.02149 Mdot 0.69663 0.02125 Mdot 0.69849 0.02107 Mdot 0.70035 0.02095 Mdot 0.70222 0.0209 Mdot 0.70408 0.02092 Mdot 0.70595 0.021 Mdot 0.70781 0.02114 Mdot 0.70967 0.02134 Mdot 0.71154 0.02159 Mdot 0.7134 0.02189 Mdot 0.71526 0.02221 Mdot 0.71713 0.02255 Mdot 0.71899 0.02291 Mdot 0.72086 0.02326 Mdot 0.72272 0.02361 Mdot 0.72458 0.02394 Mdot 0.72645 0.02424 Mdot 0.72831 0.0245 Mdot 0.73017 0.02472 Mdot 0.73204 0.02489 Mdot 0.7339 0.02501 Mdot 0.73577 0.02507 Mdot 0.73763 0.02507 Mdot 0.73949 0.02503 Mdot 0.74136 0.02492 Mdot 0.74322 0.02477 Mdot 0.74508 0.02458 Mdot 0.74695 0.02435 Mdot 0.74881 0.02409 Mdot 0.75068 0.0238 Mdot 0.75254 0.0235 Mdot 0.7544 0.0232 Mdot 0.75627 0.0229 Mdot 0.75813 0.02261 Mdot 0.75999 0.02235 Mdot 0.76186 0.02211 Mdot 0.76372 0.0219 Mdot 0.76559 0.02173 Mdot 0.76745 0.02161 Mdot 0.76931 0.02153 Mdot 0.77118 0.0215 Mdot 0.77304 0.02152 Mdot 0.7749 0.02158 Mdot 0.77677 0.02169 Mdot 0.77863 0.02184 Mdot 0.7805 0.02202 Mdot 0.78236 0.02223 Mdot 0.78422 0.02247 Mdot 0.78609 0.02272 Mdot 0.78795 0.02298 Mdot 0.78981 0.02325 Mdot 0.79168 0.0235 Mdot 0.79354 0.02375 Mdot 0.79541 0.02397 Mdot 0.79727 0.02417 Mdot 0.79913 0.02434 Mdot 0.801 0.02447 Mdot 0.80286 0.02456 Mdot 0.80472 0.02461 Mdot 0.80659 0.02463 Mdot 0.80845 0.0246 Mdot 0.81032 0.02453 Mdot 0.81218 0.02442 Mdot 0.81404 0.02428 Mdot 0.81591 0.0241 Mdot 0.81777 0.02391 Mdot 0.81963 0.02369 Mdot 0.8215 0.02347 Mdot 0.82336 0.02324 Mdot 0.82523 0.023 Mdot 0.82709 0.02278 Mdot 0.82895 0.02257 Mdot 0.83082 0.02238 Mdot 0.83268 0.02221 Mdot 0.83454 0.02207 Mdot 0.83641 0.02196 Mdot 0.83827 0.02189 Mdot 0.84014 0.02186 Mdot 0.842 0.02186 Mdot 0.84386 0.02189 Mdot 0.84573 0.02197 Mdot 0.84759 0.02207 Mdot 0.84945 0.02221 Mdot 0.85132 0.02237 Mdot 0.85318 0.02255 Mdot 0.85505 0.02274 Mdot 0.85691 0.02295 Mdot 0.85877 0.02316 Mdot 0.86064 0.02337 Mdot 0.8625 0.02356 Mdot 0.86436 0.02375 Mdot 0.86623 0.02392 Mdot 0.86809 0.02406 Mdot 0.86996 0.02418 Mdot 0.87182 0.02427 Mdot 0.87368 0.02432 Mdot 0.87555 0.02435 Mdot 0.87741 0.02434 Mdot 0.87927 0.02429 Mdot 0.88114 0.02422 Mdot 0.883 0.02412 Mdot 0.88487 0.02399 Mdot 0.88673 0.02384 Mdot 0.88859 0.02367 Mdot 0.89046 0.02349 Mdot 0.89232 0.02331 Mdot 0.89419 0.02312 Mdot 0.89605 0.02293 Mdot 0.89791 0.02275 Mdot 0.89978 0.02259 Mdot 0.90164 0.02244 Mdot 0.9035 0.02231 Mdot 0.90537 0.02221 Mdot 0.90723 0.02214 Mdot 0.9091 0.02209 Mdot 0.91096 0.02208 Mdot 0.91282 0.02209 Mdot 0.91469 0.02214 Mdot 0.91655 0.02221 Mdot 0.91841 0.02231 Mdot 0.92028 0.02243 Mdot 0.92214 0.02257 Mdot 0.92401 0.02273 Mdot 0.92587 0.02289 Mdot 0.92773 0.02307 Mdot 0.9296 0.02324 Mdot 0.93146 0.02341 Mdot 0.93332 0.02357 Mdot 0.93519 0.02372 Mdot 0.93705 0.02385 Mdot 0.93892 0.02396 Mdot 0.94078 0.02405 Mdot 0.94264 0.02411 Mdot 0.94451 0.02415 Mdot 0.94637 0.02416 Mdot 0.94823 0.02414 Mdot 0.9501 0.02409 Mdot 0.95196 0.02402 Mdot 0.95383 0.02393 Mdot 0.95569 0.02381 Mdot 0.95755 0.02368 Mdot 0.95942 0.02353 Mdot 0.96128 0.02338 Mdot 0.96314 0.02322 Mdot 0.96501 0.02306 Mdot 0.96687 0.0229 Mdot 0.96874 0.02276 Mdot 0.9706 0.02262 Mdot 0.97246 0.02251 Mdot 0.97433 0.02241 Mdot 0.97619 0.02233 Mdot grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-48.8216, -0.109282, 2.06124, 0.00662262}}]}, Open]], Cell[TextData["Whtdb = 20 Log[10,Abs[Wht]];"], "Input"], Cell[CellGroupData[{Cell[TextData["pWhtdb = ListPlot[Whtdb];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.603319 0.005625 [ [(100)] 0.20982 0.60332 0 2 Msboxa [(200)] 0.39583 0.60332 0 2 Msboxa [(300)] 0.58185 0.60332 0 2 Msboxa [(400)] 0.76786 0.60332 0 2 Msboxa [(500)] 0.95387 0.60332 0 2 Msboxa [(-100)] 0.01131 0.04079 1 0 Msboxa [(-80)] 0.01131 0.1533 1 0 Msboxa [(-60)] 0.01131 0.2658 1 0 Msboxa [(-40)] 0.01131 0.37831 1 0 Msboxa [(-20)] 0.01131 0.49081 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.60332 moveto 0.20982 0.60957 lineto stroke grestore [(100)] 0.20982 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.60332 moveto 0.39583 0.60957 lineto stroke grestore [(200)] 0.39583 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.60332 moveto 0.58185 0.60957 lineto stroke grestore [(300)] 0.58185 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.60332 moveto 0.76786 0.60957 lineto stroke grestore [(400)] 0.76786 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.60332 moveto 0.95387 0.60957 lineto stroke grestore [(500)] 0.95387 0.60332 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.60332 moveto 0.06101 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.60332 moveto 0.09821 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.60332 moveto 0.13542 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.60332 moveto 0.17262 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.60332 moveto 0.24702 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.60332 moveto 0.28423 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.60332 moveto 0.32143 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.60332 moveto 0.35863 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.60332 moveto 0.43304 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.60332 moveto 0.47024 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.60332 moveto 0.50744 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.60332 moveto 0.54464 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.60332 moveto 0.61905 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.60332 moveto 0.65625 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.60332 moveto 0.69345 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.60332 moveto 0.73065 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.60332 moveto 0.80506 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.60332 moveto 0.84226 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.60332 moveto 0.87946 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.60332 moveto 0.91667 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.60332 moveto 0.99107 0.60707 lineto stroke grestore gsave 0.002 setlinewidth 0 0.60332 moveto 1 0.60332 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.04079 moveto 0.03006 0.04079 lineto stroke grestore [(-100)] 0.01131 0.04079 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.1533 moveto 0.03006 0.1533 lineto stroke grestore [(-80)] 0.01131 0.1533 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.2658 moveto 0.03006 0.2658 lineto stroke grestore [(-60)] 0.01131 0.2658 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.37831 moveto 0.03006 0.37831 lineto stroke grestore [(-40)] 0.01131 0.37831 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.49081 moveto 0.03006 0.49081 lineto stroke grestore [(-20)] 0.01131 0.49081 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.06329 moveto 0.02756 0.06329 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.08579 moveto 0.02756 0.08579 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.10829 moveto 0.02756 0.10829 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.13079 moveto 0.02756 0.13079 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1758 moveto 0.02756 0.1758 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1983 moveto 0.02756 0.1983 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2208 moveto 0.02756 0.2208 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2433 moveto 0.02756 0.2433 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2883 moveto 0.02756 0.2883 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3108 moveto 0.02756 0.3108 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3333 moveto 0.02756 0.3333 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.35581 moveto 0.02756 0.35581 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.40081 moveto 0.02756 0.40081 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.42331 moveto 0.02756 0.42331 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44581 moveto 0.02756 0.44581 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.46831 moveto 0.02756 0.46831 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.51331 moveto 0.02756 0.51331 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53582 moveto 0.02756 0.53582 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.55832 moveto 0.02756 0.55832 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58082 moveto 0.02756 0.58082 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.01829 moveto 0.02756 0.01829 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.02567 0.2866 Mdot 0.02753 0.28353 Mdot 0.02939 0.27876 Mdot 0.03125 0.27188 Mdot 0.03311 0.26216 Mdot 0.03497 0.24812 Mdot 0.03683 0.22605 Mdot 0.03869 0.18083 Mdot 0.04055 0.15279 Mdot 0.04241 0.21764 Mdot 0.04427 0.24393 Mdot 0.04613 0.26009 Mdot 0.04799 0.27122 Mdot 0.04985 0.27921 Mdot 0.05171 0.28492 Mdot 0.05357 0.28884 Mdot 0.05543 0.29121 Mdot 0.05729 0.29217 Mdot 0.05915 0.29176 Mdot 0.06101 0.28995 Mdot 0.06287 0.28661 Mdot 0.06473 0.2815 Mdot 0.06659 0.27417 Mdot 0.06845 0.26381 Mdot 0.07031 0.24867 Mdot 0.07217 0.22418 Mdot 0.07403 0.16779 Mdot 0.07589 0.17745 Mdot 0.07775 0.22791 Mdot 0.07961 0.25154 Mdot 0.08147 0.26653 Mdot 0.08333 0.27698 Mdot 0.08519 0.2845 Mdot 0.08705 0.28985 Mdot 0.08891 0.29347 Mdot 0.09077 0.29557 Mdot 0.09263 0.29628 Mdot 0.09449 0.2956 Mdot 0.09635 0.29351 Mdot 0.09821 0.28984 Mdot 0.10007 0.28433 Mdot 0.10193 0.27646 Mdot 0.10379 0.26529 Mdot 0.10565 0.24872 Mdot 0.10751 0.22078 Mdot 0.10938 0.14034 Mdot 0.11124 0.19803 Mdot 0.1131 0.23856 Mdot 0.11496 0.25969 Mdot 0.11682 0.2735 Mdot 0.11868 0.28323 Mdot 0.12054 0.29025 Mdot 0.1224 0.29521 Mdot 0.12426 0.29849 Mdot 0.12612 0.30029 Mdot 0.12798 0.3007 Mdot 0.12984 0.29972 Mdot 0.1317 0.29728 Mdot 0.13356 0.29322 Mdot 0.13542 0.28721 Mdot 0.13728 0.27866 Mdot 0.13914 0.26643 Mdot 0.141 0.2479 Mdot 0.14286 0.21457 Mdot 0.14472 0.01472 Mdot 0.14658 0.21668 Mdot 0.14844 0.24972 Mdot 0.1503 0.2685 Mdot 0.15216 0.28111 Mdot 0.15402 0.29008 Mdot 0.15588 0.29655 Mdot 0.15774 0.30107 Mdot 0.1596 0.30397 Mdot 0.16146 0.30542 Mdot 0.16332 0.30547 Mdot 0.16518 0.30413 Mdot 0.16704 0.30128 Mdot 0.1689 0.29673 Mdot 0.17076 0.29008 Mdot 0.17262 0.28063 Mdot 0.17448 0.26695 Mdot 0.17634 0.2455 Mdot 0.1782 0.20237 Mdot 0.18006 0.16472 Mdot 0.18192 0.2345 Mdot 0.18378 0.2616 Mdot 0.18564 0.27813 Mdot 0.1875 0.2895 Mdot 0.18936 0.29766 Mdot 0.19122 0.30352 Mdot 0.19308 0.30754 Mdot 0.19494 0.31 Mdot 0.1968 0.31102 Mdot 0.19866 0.31065 Mdot 0.20052 0.30885 Mdot 0.20238 0.30548 Mdot 0.20424 0.30029 Mdot 0.2061 0.29279 Mdot 0.20796 0.28209 Mdot 0.20982 0.26626 Mdot 0.21168 0.23994 Mdot 0.21354 0.1718 Mdot 0.2154 0.20813 Mdot 0.21726 0.25226 Mdot 0.21912 0.27443 Mdot 0.22098 0.28878 Mdot 0.22284 0.29886 Mdot 0.2247 0.30613 Mdot 0.22656 0.3113 Mdot 0.22842 0.31474 Mdot 0.23028 0.31667 Mdot 0.23214 0.31717 Mdot 0.234 0.31627 Mdot 0.23586 0.31387 Mdot 0.23772 0.3098 Mdot 0.23958 0.30372 Mdot 0.24144 0.295 Mdot 0.2433 0.2824 Mdot 0.24516 0.26298 Mdot 0.24702 0.22667 Mdot 0.24888 0.13369 Mdot 0.25074 0.23995 Mdot 0.2526 0.27057 Mdot 0.25446 0.28853 Mdot 0.25632 0.30073 Mdot 0.25818 0.30945 Mdot 0.26004 0.31572 Mdot 0.2619 0.32009 Mdot 0.26376 0.32282 Mdot 0.26563 0.32409 Mdot 0.26749 0.32392 Mdot 0.26935 0.3223 Mdot 0.27121 0.31908 Mdot 0.27307 0.31401 Mdot 0.27493 0.3066 Mdot 0.27679 0.29592 Mdot 0.27865 0.28 Mdot 0.28051 0.25323 Mdot 0.28237 0.1808 Mdot 0.28423 0.22551 Mdot 0.28609 0.26824 Mdot 0.28795 0.29011 Mdot 0.28981 0.30434 Mdot 0.29167 0.31438 Mdot 0.29353 0.32161 Mdot 0.29539 0.32673 Mdot 0.29725 0.33012 Mdot 0.29911 0.33196 Mdot 0.30097 0.33234 Mdot 0.30283 0.33124 Mdot 0.30469 0.32857 Mdot 0.30655 0.3241 Mdot 0.30841 0.3174 Mdot 0.31027 0.30767 Mdot 0.31213 0.29326 Mdot 0.31399 0.26982 Mdot 0.31585 0.21704 Mdot 0.31771 0.21805 Mdot 0.31957 0.27166 Mdot 0.32143 0.29617 Mdot 0.32329 0.31167 Mdot 0.32515 0.32249 Mdot 0.32701 0.33027 Mdot 0.32887 0.33581 Mdot 0.33073 0.33952 Mdot 0.33259 0.34163 Mdot 0.33445 0.34221 Mdot 0.33631 0.34128 Mdot 0.33817 0.33871 Mdot 0.34003 0.33426 Mdot 0.34189 0.32749 Mdot 0.34375 0.31752 Mdot 0.34561 0.30249 Mdot 0.34747 0.27731 Mdot 0.34933 0.21398 Mdot 0.35119 0.24183 Mdot 0.35305 0.28818 Mdot 0.35491 0.31113 Mdot 0.35677 0.32596 Mdot 0.35863 0.33637 Mdot 0.36049 0.34385 Mdot 0.36235 0.34912 Mdot 0.36421 0.35254 Mdot 0.36607 0.3543 Mdot 0.36793 0.35445 Mdot 0.36979 0.35292 Mdot 0.37165 0.34954 Mdot 0.37351 0.34391 Mdot 0.37537 0.3353 Mdot 0.37723 0.32219 Mdot 0.37909 0.30071 Mdot 0.38095 0.25452 Mdot 0.38281 0.2356 Mdot 0.38467 0.2975 Mdot 0.38653 0.32388 Mdot 0.38839 0.34034 Mdot 0.39025 0.35175 Mdot 0.39211 0.3599 Mdot 0.39397 0.3656 Mdot 0.39583 0.36925 Mdot 0.39769 0.37103 Mdot 0.39955 0.37094 Mdot 0.40141 0.36882 Mdot 0.40327 0.36431 Mdot 0.40513 0.35666 Mdot 0.40699 0.34426 Mdot 0.40885 0.32294 Mdot 0.41071 0.27381 Mdot 0.41257 0.26972 Mdot 0.41443 0.32685 Mdot 0.41629 0.35288 Mdot 0.41815 0.36941 Mdot 0.42001 0.38088 Mdot 0.42188 0.38889 Mdot 0.42374 0.39409 Mdot 0.4256 0.39666 Mdot 0.42746 0.3964 Mdot 0.42932 0.39261 Mdot 0.43118 0.38352 Mdot 0.43304 0.3641 Mdot 0.4349 0.30582 Mdot 0.43676 0.34118 Mdot 0.43862 0.39307 Mdot 0.44048 0.42196 Mdot 0.44234 0.44294 Mdot 0.4442 0.45975 Mdot 0.44606 0.47393 Mdot 0.44792 0.48625 Mdot 0.44978 0.49717 Mdot 0.45164 0.50698 Mdot 0.4535 0.51588 Mdot 0.45536 0.52401 Mdot 0.45722 0.53148 Mdot 0.45908 0.53836 Mdot 0.46094 0.54472 Mdot 0.4628 0.55062 Mdot 0.46466 0.55608 Mdot 0.46652 0.56114 Mdot 0.46838 0.56584 Mdot 0.47024 0.57019 Mdot 0.4721 0.57422 Mdot 0.47396 0.57793 Mdot 0.47582 0.58136 Mdot 0.47768 0.5845 Mdot 0.47954 0.58738 Mdot 0.4814 0.58999 Mdot 0.48326 0.59236 Mdot 0.48512 0.59448 Mdot 0.48698 0.59636 Mdot 0.48884 0.59801 Mdot 0.4907 0.59943 Mdot 0.49256 0.60062 Mdot 0.49442 0.6016 Mdot 0.49628 0.60235 Mdot 0.49814 0.60289 Mdot 0.5 0.60321 Mdot 0.50186 0.60332 Mdot 0.50372 0.60321 Mdot 0.50558 0.60289 Mdot 0.50744 0.60235 Mdot 0.5093 0.6016 Mdot 0.51116 0.60062 Mdot 0.51302 0.59943 Mdot 0.51488 0.59801 Mdot 0.51674 0.59636 Mdot 0.5186 0.59448 Mdot 0.52046 0.59236 Mdot 0.52232 0.58999 Mdot 0.52418 0.58738 Mdot 0.52604 0.5845 Mdot 0.5279 0.58136 Mdot 0.52976 0.57793 Mdot 0.53162 0.57422 Mdot 0.53348 0.57019 Mdot 0.53534 0.56584 Mdot 0.5372 0.56114 Mdot 0.53906 0.55608 Mdot 0.54092 0.55062 Mdot 0.54278 0.54472 Mdot 0.54464 0.53836 Mdot 0.5465 0.53148 Mdot 0.54836 0.52401 Mdot 0.55022 0.51588 Mdot 0.55208 0.50698 Mdot 0.55394 0.49717 Mdot 0.5558 0.48625 Mdot 0.55766 0.47393 Mdot 0.55952 0.45975 Mdot 0.56138 0.44294 Mdot 0.56324 0.42196 Mdot 0.5651 0.39307 Mdot 0.56696 0.34118 Mdot 0.56882 0.30582 Mdot 0.57068 0.3641 Mdot 0.57254 0.38352 Mdot 0.5744 0.39261 Mdot 0.57626 0.3964 Mdot 0.57813 0.39666 Mdot 0.57999 0.39409 Mdot 0.58185 0.38889 Mdot 0.58371 0.38088 Mdot 0.58557 0.36941 Mdot 0.58743 0.35288 Mdot 0.58929 0.32685 Mdot 0.59115 0.26972 Mdot 0.59301 0.27381 Mdot 0.59487 0.32294 Mdot 0.59673 0.34426 Mdot 0.59859 0.35666 Mdot 0.60045 0.36431 Mdot 0.60231 0.36882 Mdot 0.60417 0.37094 Mdot 0.60603 0.37103 Mdot 0.60789 0.36925 Mdot 0.60975 0.3656 Mdot 0.61161 0.3599 Mdot 0.61347 0.35175 Mdot 0.61533 0.34034 Mdot 0.61719 0.32388 Mdot 0.61905 0.2975 Mdot 0.62091 0.2356 Mdot 0.62277 0.25452 Mdot 0.62463 0.30071 Mdot 0.62649 0.32219 Mdot 0.62835 0.3353 Mdot 0.63021 0.34391 Mdot 0.63207 0.34954 Mdot 0.63393 0.35292 Mdot 0.63579 0.35445 Mdot 0.63765 0.3543 Mdot 0.63951 0.35254 Mdot 0.64137 0.34912 Mdot 0.64323 0.34385 Mdot 0.64509 0.33637 Mdot 0.64695 0.32596 Mdot 0.64881 0.31113 Mdot 0.65067 0.28818 Mdot 0.65253 0.24183 Mdot 0.65439 0.21398 Mdot 0.65625 0.27731 Mdot 0.65811 0.30249 Mdot 0.65997 0.31752 Mdot 0.66183 0.32749 Mdot 0.66369 0.33426 Mdot 0.66555 0.33871 Mdot 0.66741 0.34128 Mdot 0.66927 0.34221 Mdot 0.67113 0.34163 Mdot 0.67299 0.33952 Mdot 0.67485 0.33581 Mdot 0.67671 0.33027 Mdot 0.67857 0.32249 Mdot 0.68043 0.31167 Mdot 0.68229 0.29617 Mdot 0.68415 0.27166 Mdot 0.68601 0.21805 Mdot 0.68787 0.21704 Mdot 0.68973 0.26982 Mdot 0.69159 0.29326 Mdot 0.69345 0.30767 Mdot 0.69531 0.3174 Mdot 0.69717 0.3241 Mdot 0.69903 0.32857 Mdot 0.70089 0.33124 Mdot 0.70275 0.33234 Mdot 0.70461 0.33196 Mdot 0.70647 0.33012 Mdot 0.70833 0.32673 Mdot 0.71019 0.32161 Mdot 0.71205 0.31438 Mdot 0.71391 0.30434 Mdot 0.71577 0.29011 Mdot 0.71763 0.26824 Mdot 0.71949 0.22551 Mdot 0.72135 0.1808 Mdot 0.72321 0.25323 Mdot 0.72507 0.28 Mdot 0.72693 0.29592 Mdot 0.72879 0.3066 Mdot 0.73065 0.31401 Mdot 0.73251 0.31908 Mdot 0.73438 0.3223 Mdot 0.73624 0.32392 Mdot 0.7381 0.32409 Mdot 0.73996 0.32282 Mdot 0.74182 0.32009 Mdot 0.74368 0.31572 Mdot 0.74554 0.30945 Mdot 0.7474 0.30073 Mdot 0.74926 0.28853 Mdot 0.75112 0.27057 Mdot 0.75298 0.23995 Mdot 0.75484 0.13369 Mdot 0.7567 0.22667 Mdot 0.75856 0.26298 Mdot 0.76042 0.2824 Mdot 0.76228 0.295 Mdot 0.76414 0.30372 Mdot 0.766 0.3098 Mdot 0.76786 0.31387 Mdot 0.76972 0.31627 Mdot 0.77158 0.31717 Mdot 0.77344 0.31667 Mdot 0.7753 0.31474 Mdot 0.77716 0.3113 Mdot 0.77902 0.30613 Mdot 0.78088 0.29886 Mdot 0.78274 0.28878 Mdot 0.7846 0.27443 Mdot 0.78646 0.25226 Mdot 0.78832 0.20813 Mdot 0.79018 0.1718 Mdot 0.79204 0.23994 Mdot 0.7939 0.26626 Mdot 0.79576 0.28209 Mdot 0.79762 0.29279 Mdot 0.79948 0.30029 Mdot 0.80134 0.30548 Mdot 0.8032 0.30885 Mdot 0.80506 0.31065 Mdot 0.80692 0.31102 Mdot 0.80878 0.31 Mdot 0.81064 0.30754 Mdot 0.8125 0.30352 Mdot 0.81436 0.29766 Mdot 0.81622 0.2895 Mdot 0.81808 0.27813 Mdot 0.81994 0.2616 Mdot 0.8218 0.2345 Mdot 0.82366 0.16472 Mdot 0.82552 0.20237 Mdot 0.82738 0.2455 Mdot 0.82924 0.26695 Mdot 0.8311 0.28063 Mdot 0.83296 0.29008 Mdot 0.83482 0.29673 Mdot 0.83668 0.30128 Mdot 0.83854 0.30413 Mdot 0.8404 0.30547 Mdot 0.84226 0.30542 Mdot 0.84412 0.30397 Mdot 0.84598 0.30107 Mdot 0.84784 0.29655 Mdot 0.8497 0.29008 Mdot 0.85156 0.28111 Mdot 0.85342 0.2685 Mdot 0.85528 0.24972 Mdot 0.85714 0.21668 Mdot 0.859 0.01472 Mdot 0.86086 0.21457 Mdot 0.86272 0.2479 Mdot 0.86458 0.26643 Mdot 0.86644 0.27866 Mdot 0.8683 0.28721 Mdot 0.87016 0.29322 Mdot 0.87202 0.29728 Mdot 0.87388 0.29972 Mdot 0.87574 0.3007 Mdot 0.8776 0.30029 Mdot 0.87946 0.29849 Mdot 0.88132 0.29521 Mdot 0.88318 0.29025 Mdot 0.88504 0.28323 Mdot 0.8869 0.2735 Mdot 0.88876 0.25969 Mdot 0.89063 0.23856 Mdot 0.89249 0.19803 Mdot 0.89435 0.14034 Mdot 0.89621 0.22078 Mdot 0.89807 0.24872 Mdot 0.89993 0.26529 Mdot 0.90179 0.27646 Mdot 0.90365 0.28433 Mdot 0.90551 0.28984 Mdot 0.90737 0.29351 Mdot 0.90923 0.2956 Mdot 0.91109 0.29628 Mdot 0.91295 0.29557 Mdot 0.91481 0.29347 Mdot 0.91667 0.28985 Mdot 0.91853 0.2845 Mdot 0.92039 0.27698 Mdot 0.92225 0.26653 Mdot 0.92411 0.25154 Mdot 0.92597 0.22791 Mdot 0.92783 0.17745 Mdot 0.92969 0.16779 Mdot 0.93155 0.22418 Mdot 0.93341 0.24867 Mdot 0.93527 0.26381 Mdot 0.93713 0.27417 Mdot 0.93899 0.2815 Mdot 0.94085 0.28661 Mdot 0.94271 0.28995 Mdot 0.94457 0.29176 Mdot 0.94643 0.29217 Mdot 0.94829 0.29121 Mdot 0.95015 0.28884 Mdot 0.95201 0.28492 Mdot 0.95387 0.27921 Mdot 0.95573 0.27122 Mdot 0.95759 0.26009 Mdot 0.95945 0.24393 Mdot 0.96131 0.21764 Mdot 0.96317 0.15279 Mdot 0.96503 0.18083 Mdot 0.96689 0.22605 Mdot 0.96875 0.24812 Mdot 0.97061 0.26216 Mdot 0.97247 0.27188 Mdot 0.97433 0.27876 Mdot 0.97619 0.28353 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00;o4004o`L00_l500Co2002o`P0000>00;o1002o`D000?o00002`02ob400_l?00;o 6002ocd00_lH00;o3P02ob800_lD00003@001?l00?l20004o`00o`@000Go0?oo0002oa000_l@00;o X`02oa000_l@00;o00<0ool0200000d000Co003o0P001?l00?l40005o`3oo`000_l400;o00<0ool0 1002o`030?oo00@00_l:00;o1@02o`L00_n300;o1`02o`D00_l:00;o1002o`030?oo00@00_l00`3o o`0400;o00<0ool0200000L01?l200?o0`001?l00?l400;o2@02o`030?oo00@00_l700;o00<0ool0 1002o`P00_l700;o2002o`H00_lG00;o;@02oaL00_l500;o2@02o`L00_l700;o1@02o`030?oo00L0 0_l400;o00<0ool04@0000d000?o00000`001?l00?l400?o0P02o`<00_l;00;o1`02o`@00_lC00;o 1P02o`H00olF00;o;@02oaH00ol500;o1`02oa800_l500;o1P02o`/00_l300;o0`02o`L0000>0003 o`00008000Co003o1003o`800_l300;o0`02o`800_l200;o4002o`L00_l700;o3`02o`D00_l?00;o ;@02o`h00_l600;o3`02o`L00_l600;o4002o`800_l300;o0P02o`<00_l300;o1`0000l00_l300;o 1@03o`<00_l200;o0`02o`800_l800;o0P02o`<00_l00`3oo`0700;o3@02oa000_m>00;o4002o`h0 0_l600;o0P02o`<00_l200;o1`02o`<00_l300;o0P02o`<00_l700006`03o`<00_l200;o0`02o`80 0_l300;o0`02o`800_l300;o1`02o`L00_l700;oLP02o`P00_l700;o1`02o`<00_l200;o0`02o`<0 0_l200;o0`02o`040?ooo`<00ol600006`02o`@01Ol400;o0P02o`<00_l200;o3002o`<00_l00`3o o`0400;o00<0ool06002od/00_lH00;o00<0ool00`02o`800_l300;o3002o`800_l300;o0P02o`<0 0_l00`3oo`0500;o1P0001/00_l500Co1@05o`<00_l200;o0`02o`800_l300;o0`02o`030?oo00L0 0_l700;o1002o`T00_m;00;o2@02o`@00_l700;o1P02o`800_l300;o0P02o`<00_l300;o00<0ool0 1005o`@01Ol=00006`000ol0000400Co1@05o`<01_l300;o0P02o`P00_l700;o1`02o`030?oo00@0 1?mL00;o00<0ool01002o`030?oo00L00_l700;o1`03o`040?ooo`<00_l00`3oo`0400Go1@03o`h0 000K0003o`0000h00ol500Co1006o`<00_l200;o0`02o`<00_l200;o0`02o`T00_l=00Co>`03o`d0 0_l:00;o0`02o`800_l300;o0`02o`800_l300;o00<0ool01005o`D00olG00006`000ol0000F00Co 1@04o`@00ol00`3oo`0300;o0P02o`<00_l600;o3@02o`H01?lk00?o1`02o``00_l700;o0P02o`<0 0_l300;o00@0oooo0`05o`D00olP00006`000ol0000O00Co1@05o`<00_l200;o1`02o`800_l400;o 1`02oaD00_lQ00;o5@02o`L00_l300;o0P02o`L00_l200;o1005o`D00olY00006`02ob400_l600Go 0`03o`030?oo00<00_l200;o2002o`030?oo00H00_lC00;o8@02oa<00_l600;o00<0ool01`02o`<0 0_l300;o00<0ool01005o`D00olY00006`000ol0000Y00?o1@05o`<00ol00`3oo`0300;o1P02o`H0 0_m;00;o1P02o`H00_l300;o00@0oooo0`05o`D00olb00006`000ol0000a00Co1@05o`<00_l200;o 1`02oe000_l800;o0P02o`<00_l00`3oo`0400Co>`0001/000?o0000`03o`@00ol00`3oo`0200;o0`02o`800_l300Co1004ob/01?l300;o00<0ool00`02o`80 0_l200;o0`02o`030?oo00D00om400006`000ol0001300Co1002o`800_l200;o3@02ob/00_l=00;o 0P02o`800_l400CoC00001/00_m400Co1002o`030?oo00P00_lo00;o1`02o`040?ooo`@01?m<0000 6`000ol0001400;o1@05o`<00_l300;o?`02o`<00_l200Go1P02odd0000K0003o`0004`01?l300;o 1P02o`X00_lP00;o2`02o`H00_l300CoE@0001/000?o0000C003o`D00_l00`3oo`0200;o0`02o`D0 0_lP00;o1P02o`<00_l200;o00<0ool01003oeH0000K0003o`0005@00_l00`3oo`0700;o;`02o`L0 0_l00`3oo`1M00006`000ol0001D00Go0P02o`D00_l[00;o1002o`<01OmM00006`02oeH00ol300;o 0P02o`030?oo02/01?l200;o1003oeh0000K0003o`0005`00_l00`3oo`0`00;o0P02ofD0000K0003 o`0005`00_l00`3oo`0500;o8P02o`H01OmU00003`000ol0000200;o1@000ol0001L00Go0P02o`03 0?oo02800_l200;o0P04ofH0000?0005o`000?l00P000ol000020003o`0005d00ol300;o:@02o`80 1?mV00003005o`8000Co003o10000ol0001M00?o<`02ofL0000700Co00D0o`00o`030004o`00o`@0 0_mT00;o:@02of`0000=0003o`3o00<000Co003o10000ol0001S00;o00<0ool08`02o`030?oo06`0 000>00;o0`001?l00?l40003o`0006@01?lS00CoK@0000l000?o00000P02o`D000?o0000I006oal0 1_m]00006`000ol0001T00Ko7`06ofd0000K0003o`0006@00olU00?oK@0001/00_om00006`000ol0 003l00006`000ol0003l00006`000ol0003l00006`000ol0003l00006`000ol0001X00;o7P02og80 000K00;oJ@02oah00_mb00006`000ol0003l00006`000ol0003l00006`000ol0003l00006`000ol0 001Y00;o7@02og80000K0003o`0006T00_lM00;oLP0001/00_om00006`000ol0003l00006`000ol0 003l00006`000ol0001Y00;o7002og<0000K0003o`0006T00_lL00;oL`0001/00_om00006`000ol0 001Z00;o6`02og<0000K0003o`0006X00_lK00;oL`0001/000?o0000o00000d01?l300;o1@000ol0 003l00003@001?l00?l20004o`00o`@000?o0000JP02oaX00_md00003P000ol000020004o`00o`@0 0_m[00;o6P02og@0000700Co10001Ol0003o008000?o00000P000ol0001[00;o6@02og@0000@0004 o`00o`8000?o00000P000ol0001[00;o6@02og@0000=0004o`00o`8000Co003o10000ol0003l0000 3P02o`@00_l50003o`0006/00_lH00;oM@0001/000?o0000J`02oaP00_me00006`02ofd00_lG00;o M@0001/000?o0000K002oaL00_me00006`000ol0001/00;o5P02ogH0000K0003o`0006`00_lF00;o MP0001/000?o0000K@02oaD00_mf00006`000ol0001]00;o5@02ogH0000K00;oKP02oa@00_mg0000 6`000ol0001]00;o5002ogL0000K0003o`0006h00_lC00;oM`0001/000?o0000KP02oa<00_mg0000 6`000ol0000U00Go0P02o`@00_lQ00Co0`02o`@00_l:00;o4`02o`800_l400;o1002ob<000?o0000 0P02o`@00_lQ00?o1002o`@00_l700006`000ol0000W0005o`000?l00P001?l00?l20003o`0001h0 00Co003o0P001?l00?l20004o`00o`X00_lA00;o0P001?l00?l20004o`00o`8000Co003o8P001Ol0 003o008000Co003o0P000ol0000Q0004o`00o`8000Co003o0P000ol0000400006`02obP000Go0000 o`020004o`00o`8000?o00007`000ol000020004o`00o`8000Co003o2P02oa400_l50004o`00o`80 00Co003o0P000ol0000M00Go0P001?l00?l20004o`00ob<000Co003o0P001?l00?l20003o`0000@0 000K0003o`0002L000Go0000o`020004o`00o`8000?o000080001Ol0003o008000Co003o0P000ol0 000800?o3`03o`<00_l30004o`00o`8000Co003o7`001?l00?l30004o`00o`8000Co003o8003o`<0 00Co003o0P001?l00?l600006`000ol0000W0005o`000?l00P001?l00?l20003o`00024000Co003o 0P001?l00?l20003o`0000T00_l?00;o1P001?l00?l20004o`00o`8000?o00007P000ol0o`030004 o`00o`8000Co003o80000ol000030004o`00o`8000Co003o1P0001/000?o00009@03o`<000Co003o 0P001?l00?lP0004o`00o`8000Co003o0P001?l00?l;00?o3@03o`<000Co003o0P001?l00?l20004 o`00ob400_l30004o`00o`8000Co003o80000ol000030004o`00o`8000Co003o1P0001/000?o0000 9`000ol0000200;o1002ob800_l400;o1002o`d00_l=00;o1@02o`@00_l400;o8`000ol0000200;o 1002ob401?l300;o1002o`L0000K0003o`0007400ol;00?oNP0001/00_mc00;o2`02og/0000K0003 o`0007800ol900?oN`0001/000?o0000L`03o`L00oml00006`000ol0001d00;o1P03ogd0000K0003 o`0007@01?l200GoO@0001D0ool5o`40000K0003o`0000H000?o00001`000ol000070003o`0000H0 00?o00001`000ol000070003o`0000H000?o00001`000ol000070003o`0000H000?o00001`000ol0 00070003o`0000<01Ol80003o`0000L000?o00001P000ol000070003o`0000L000?o00001P000ol0 00070003o`0000L000?o00001P000ol000070003o`0000L000?o00001P000ol000070003o`000040 000K0003o`0002d000?o0000;@000ol0000^0003o`0002d000?o0000;@000ol0000;00006`000ol0 003l00006`000ol0003l0000o`0K0000o`0K0000o`0K0000o`0K0000o`0K0000o`0K0000\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-56.2716, -111.526, 2.06991, 0.684451}}], Cell[TextData[ "General::spell1: \n Possible spelling error: new symbol name \"pWhtdb\"\n \ is similar to existing symbol \"Whtdb\"."], "Message"]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Computed Window Transform"], "Subsection", Evaluatable->False], Cell[TextData[ "Note carefully the way the real, symmetric window must be arranged in the \ FFT input buffer in order to obtain a real transform:"], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData[ "wu = Table[kaiser[n],{n,0,nu}];\nwl = Table[kaiser[n],{n,nl,-1}];\nzp = 0 * \ Range[NN-M];\nw = Flatten[{wu,zp,wl}];\nListPlot[w, PlotLabel->\"Input to FFT\ \"];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.014715 8.355805 [ [(100)] 0.20982 0.01472 0 2 Msboxa [(200)] 0.39583 0.01472 0 2 Msboxa [(300)] 0.58185 0.01472 0 2 Msboxa [(400)] 0.76786 0.01472 0 2 Msboxa [(500)] 0.95387 0.01472 0 2 Msboxa [(Input to FFT)] 0.5 0.61803 0 -2 Msboxa [(0.01)] 0.01131 0.09827 1 0 Msboxa [(0.02)] 0.01131 0.18183 1 0 Msboxa [(0.03)] 0.01131 0.26539 1 0 Msboxa [(0.04)] 0.01131 0.34895 1 0 Msboxa [(0.05)] 0.01131 0.43251 1 0 Msboxa [(0.06)] 0.01131 0.51606 1 0 Msboxa [(0.07)] 0.01131 0.59962 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.01472 moveto 0.20982 0.02097 lineto stroke grestore [(100)] 0.20982 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.01472 moveto 0.39583 0.02097 lineto stroke grestore [(200)] 0.39583 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.01472 moveto 0.58185 0.02097 lineto stroke grestore [(300)] 0.58185 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.01472 moveto 0.76786 0.02097 lineto stroke grestore [(400)] 0.76786 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.01472 moveto 0.95387 0.02097 lineto stroke grestore [(500)] 0.95387 0.01472 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.01472 moveto 0.06101 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.01472 moveto 0.09821 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.01472 moveto 0.13542 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.01472 moveto 0.17262 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.01472 moveto 0.24702 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.01472 moveto 0.28423 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.01472 moveto 0.32143 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.01472 moveto 0.35863 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.01472 moveto 0.43304 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.01472 moveto 0.47024 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.01472 moveto 0.50744 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.01472 moveto 0.54464 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.01472 moveto 0.61905 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.01472 moveto 0.65625 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.01472 moveto 0.69345 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.01472 moveto 0.73065 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.01472 moveto 0.80506 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.01472 moveto 0.84226 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.01472 moveto 0.87946 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.01472 moveto 0.91667 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.01472 moveto 0.99107 0.01847 lineto stroke grestore gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke grestore [(Input to FFT)] 0.5 0.61803 0 -2 Mshowa gsave 0.002 setlinewidth 0.02381 0.09827 moveto 0.03006 0.09827 lineto stroke grestore [(0.01)] 0.01131 0.09827 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.18183 moveto 0.03006 0.18183 lineto stroke grestore [(0.02)] 0.01131 0.18183 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.26539 moveto 0.03006 0.26539 lineto stroke grestore [(0.03)] 0.01131 0.26539 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.34895 moveto 0.03006 0.34895 lineto stroke grestore [(0.04)] 0.01131 0.34895 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.43251 moveto 0.03006 0.43251 lineto stroke grestore [(0.05)] 0.01131 0.43251 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.51606 moveto 0.03006 0.51606 lineto stroke grestore [(0.06)] 0.01131 0.51606 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.59962 moveto 0.03006 0.59962 lineto stroke grestore [(0.07)] 0.01131 0.59962 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.03143 moveto 0.02756 0.03143 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.04814 moveto 0.02756 0.04814 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.06485 moveto 0.02756 0.06485 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.08156 moveto 0.02756 0.08156 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.11498 moveto 0.02756 0.11498 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1317 moveto 0.02756 0.1317 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.14841 moveto 0.02756 0.14841 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.16512 moveto 0.02756 0.16512 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.19854 moveto 0.02756 0.19854 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.21525 moveto 0.02756 0.21525 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23197 moveto 0.02756 0.23197 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.24868 moveto 0.02756 0.24868 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2821 moveto 0.02756 0.2821 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.29881 moveto 0.02756 0.29881 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.31552 moveto 0.02756 0.31552 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.33224 moveto 0.02756 0.33224 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.36566 moveto 0.02756 0.36566 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.38237 moveto 0.02756 0.38237 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.39908 moveto 0.02756 0.39908 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.41579 moveto 0.02756 0.41579 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44922 moveto 0.02756 0.44922 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.46593 moveto 0.02756 0.46593 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.48264 moveto 0.02756 0.48264 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.49935 moveto 0.02756 0.49935 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53278 moveto 0.02756 0.53278 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.54949 moveto 0.02756 0.54949 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5662 moveto 0.02756 0.5662 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58291 moveto 0.02756 0.58291 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.61633 moveto 0.02756 0.61633 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.02567 0.60332 Mdot 0.02753 0.59558 Mdot 0.02939 0.57286 Mdot 0.03125 0.53658 Mdot 0.03311 0.48897 Mdot 0.03497 0.43292 Mdot 0.03683 0.37165 Mdot 0.03869 0.30855 Mdot 0.04055 0.24684 Mdot 0.04241 0.18936 Mdot 0.04427 0.13838 Mdot 0.04613 0.09546 Mdot 0.04799 0.06142 Mdot 0.04985 0.03632 Mdot 0.05171 0.01472 Mdot 0.05357 0.01472 Mdot 0.05543 0.01472 Mdot 0.05729 0.01472 Mdot 0.05915 0.01472 Mdot 0.06101 0.01472 Mdot 0.06287 0.01472 Mdot 0.06473 0.01472 Mdot 0.06659 0.01472 Mdot 0.06845 0.01472 Mdot 0.07031 0.01472 Mdot 0.07217 0.01472 Mdot 0.07403 0.01472 Mdot 0.07589 0.01472 Mdot 0.07775 0.01472 Mdot 0.07961 0.01472 Mdot 0.08147 0.01472 Mdot 0.08333 0.01472 Mdot 0.08519 0.01472 Mdot 0.08705 0.01472 Mdot 0.08891 0.01472 Mdot 0.09077 0.01472 Mdot 0.09263 0.01472 Mdot 0.09449 0.01472 Mdot 0.09635 0.01472 Mdot 0.09821 0.01472 Mdot 0.10007 0.01472 Mdot 0.10193 0.01472 Mdot 0.10379 0.01472 Mdot 0.10565 0.01472 Mdot 0.10751 0.01472 Mdot 0.10938 0.01472 Mdot 0.11124 0.01472 Mdot 0.1131 0.01472 Mdot 0.11496 0.01472 Mdot 0.11682 0.01472 Mdot 0.11868 0.01472 Mdot 0.12054 0.01472 Mdot 0.1224 0.01472 Mdot 0.12426 0.01472 Mdot 0.12612 0.01472 Mdot 0.12798 0.01472 Mdot 0.12984 0.01472 Mdot 0.1317 0.01472 Mdot 0.13356 0.01472 Mdot 0.13542 0.01472 Mdot 0.13728 0.01472 Mdot 0.13914 0.01472 Mdot 0.141 0.01472 Mdot 0.14286 0.01472 Mdot 0.14472 0.01472 Mdot 0.14658 0.01472 Mdot 0.14844 0.01472 Mdot 0.1503 0.01472 Mdot 0.15216 0.01472 Mdot 0.15402 0.01472 Mdot 0.15588 0.01472 Mdot 0.15774 0.01472 Mdot 0.1596 0.01472 Mdot 0.16146 0.01472 Mdot 0.16332 0.01472 Mdot 0.16518 0.01472 Mdot 0.16704 0.01472 Mdot 0.1689 0.01472 Mdot 0.17076 0.01472 Mdot 0.17262 0.01472 Mdot 0.17448 0.01472 Mdot 0.17634 0.01472 Mdot 0.1782 0.01472 Mdot 0.18006 0.01472 Mdot 0.18192 0.01472 Mdot 0.18378 0.01472 Mdot 0.18564 0.01472 Mdot 0.1875 0.01472 Mdot 0.18936 0.01472 Mdot 0.19122 0.01472 Mdot 0.19308 0.01472 Mdot 0.19494 0.01472 Mdot 0.1968 0.01472 Mdot 0.19866 0.01472 Mdot 0.20052 0.01472 Mdot 0.20238 0.01472 Mdot 0.20424 0.01472 Mdot 0.2061 0.01472 Mdot 0.20796 0.01472 Mdot 0.20982 0.01472 Mdot 0.21168 0.01472 Mdot 0.21354 0.01472 Mdot 0.2154 0.01472 Mdot 0.21726 0.01472 Mdot 0.21912 0.01472 Mdot 0.22098 0.01472 Mdot 0.22284 0.01472 Mdot 0.2247 0.01472 Mdot 0.22656 0.01472 Mdot 0.22842 0.01472 Mdot 0.23028 0.01472 Mdot 0.23214 0.01472 Mdot 0.234 0.01472 Mdot 0.23586 0.01472 Mdot 0.23772 0.01472 Mdot 0.23958 0.01472 Mdot 0.24144 0.01472 Mdot 0.2433 0.01472 Mdot 0.24516 0.01472 Mdot 0.24702 0.01472 Mdot 0.24888 0.01472 Mdot 0.25074 0.01472 Mdot 0.2526 0.01472 Mdot 0.25446 0.01472 Mdot 0.25632 0.01472 Mdot 0.25818 0.01472 Mdot 0.26004 0.01472 Mdot 0.2619 0.01472 Mdot 0.26376 0.01472 Mdot 0.26563 0.01472 Mdot 0.26749 0.01472 Mdot 0.26935 0.01472 Mdot 0.27121 0.01472 Mdot 0.27307 0.01472 Mdot 0.27493 0.01472 Mdot 0.27679 0.01472 Mdot 0.27865 0.01472 Mdot 0.28051 0.01472 Mdot 0.28237 0.01472 Mdot 0.28423 0.01472 Mdot 0.28609 0.01472 Mdot 0.28795 0.01472 Mdot 0.28981 0.01472 Mdot 0.29167 0.01472 Mdot 0.29353 0.01472 Mdot 0.29539 0.01472 Mdot 0.29725 0.01472 Mdot 0.29911 0.01472 Mdot 0.30097 0.01472 Mdot 0.30283 0.01472 Mdot 0.30469 0.01472 Mdot 0.30655 0.01472 Mdot 0.30841 0.01472 Mdot 0.31027 0.01472 Mdot 0.31213 0.01472 Mdot 0.31399 0.01472 Mdot 0.31585 0.01472 Mdot 0.31771 0.01472 Mdot 0.31957 0.01472 Mdot 0.32143 0.01472 Mdot 0.32329 0.01472 Mdot 0.32515 0.01472 Mdot 0.32701 0.01472 Mdot 0.32887 0.01472 Mdot 0.33073 0.01472 Mdot 0.33259 0.01472 Mdot 0.33445 0.01472 Mdot 0.33631 0.01472 Mdot 0.33817 0.01472 Mdot 0.34003 0.01472 Mdot 0.34189 0.01472 Mdot 0.34375 0.01472 Mdot 0.34561 0.01472 Mdot 0.34747 0.01472 Mdot 0.34933 0.01472 Mdot 0.35119 0.01472 Mdot 0.35305 0.01472 Mdot 0.35491 0.01472 Mdot 0.35677 0.01472 Mdot 0.35863 0.01472 Mdot 0.36049 0.01472 Mdot 0.36235 0.01472 Mdot 0.36421 0.01472 Mdot 0.36607 0.01472 Mdot 0.36793 0.01472 Mdot 0.36979 0.01472 Mdot 0.37165 0.01472 Mdot 0.37351 0.01472 Mdot 0.37537 0.01472 Mdot 0.37723 0.01472 Mdot 0.37909 0.01472 Mdot 0.38095 0.01472 Mdot 0.38281 0.01472 Mdot 0.38467 0.01472 Mdot 0.38653 0.01472 Mdot 0.38839 0.01472 Mdot 0.39025 0.01472 Mdot 0.39211 0.01472 Mdot 0.39397 0.01472 Mdot 0.39583 0.01472 Mdot 0.39769 0.01472 Mdot 0.39955 0.01472 Mdot 0.40141 0.01472 Mdot 0.40327 0.01472 Mdot 0.40513 0.01472 Mdot 0.40699 0.01472 Mdot 0.40885 0.01472 Mdot 0.41071 0.01472 Mdot 0.41257 0.01472 Mdot 0.41443 0.01472 Mdot 0.41629 0.01472 Mdot 0.41815 0.01472 Mdot 0.42001 0.01472 Mdot 0.42188 0.01472 Mdot 0.42374 0.01472 Mdot 0.4256 0.01472 Mdot 0.42746 0.01472 Mdot 0.42932 0.01472 Mdot 0.43118 0.01472 Mdot 0.43304 0.01472 Mdot 0.4349 0.01472 Mdot 0.43676 0.01472 Mdot 0.43862 0.01472 Mdot 0.44048 0.01472 Mdot 0.44234 0.01472 Mdot 0.4442 0.01472 Mdot 0.44606 0.01472 Mdot 0.44792 0.01472 Mdot 0.44978 0.01472 Mdot 0.45164 0.01472 Mdot 0.4535 0.01472 Mdot 0.45536 0.01472 Mdot 0.45722 0.01472 Mdot 0.45908 0.01472 Mdot 0.46094 0.01472 Mdot 0.4628 0.01472 Mdot 0.46466 0.01472 Mdot 0.46652 0.01472 Mdot 0.46838 0.01472 Mdot 0.47024 0.01472 Mdot 0.4721 0.01472 Mdot 0.47396 0.01472 Mdot 0.47582 0.01472 Mdot 0.47768 0.01472 Mdot 0.47954 0.01472 Mdot 0.4814 0.01472 Mdot 0.48326 0.01472 Mdot 0.48512 0.01472 Mdot 0.48698 0.01472 Mdot 0.48884 0.01472 Mdot 0.4907 0.01472 Mdot 0.49256 0.01472 Mdot 0.49442 0.01472 Mdot 0.49628 0.01472 Mdot 0.49814 0.01472 Mdot 0.5 0.01472 Mdot 0.50186 0.01472 Mdot 0.50372 0.01472 Mdot 0.50558 0.01472 Mdot 0.50744 0.01472 Mdot 0.5093 0.01472 Mdot 0.51116 0.01472 Mdot 0.51302 0.01472 Mdot 0.51488 0.01472 Mdot 0.51674 0.01472 Mdot 0.5186 0.01472 Mdot 0.52046 0.01472 Mdot 0.52232 0.01472 Mdot 0.52418 0.01472 Mdot 0.52604 0.01472 Mdot 0.5279 0.01472 Mdot 0.52976 0.01472 Mdot 0.53162 0.01472 Mdot 0.53348 0.01472 Mdot 0.53534 0.01472 Mdot 0.5372 0.01472 Mdot 0.53906 0.01472 Mdot 0.54092 0.01472 Mdot 0.54278 0.01472 Mdot 0.54464 0.01472 Mdot 0.5465 0.01472 Mdot 0.54836 0.01472 Mdot 0.55022 0.01472 Mdot 0.55208 0.01472 Mdot 0.55394 0.01472 Mdot 0.5558 0.01472 Mdot 0.55766 0.01472 Mdot 0.55952 0.01472 Mdot 0.56138 0.01472 Mdot 0.56324 0.01472 Mdot 0.5651 0.01472 Mdot 0.56696 0.01472 Mdot 0.56882 0.01472 Mdot 0.57068 0.01472 Mdot 0.57254 0.01472 Mdot 0.5744 0.01472 Mdot 0.57626 0.01472 Mdot 0.57813 0.01472 Mdot 0.57999 0.01472 Mdot 0.58185 0.01472 Mdot 0.58371 0.01472 Mdot 0.58557 0.01472 Mdot 0.58743 0.01472 Mdot 0.58929 0.01472 Mdot 0.59115 0.01472 Mdot 0.59301 0.01472 Mdot 0.59487 0.01472 Mdot 0.59673 0.01472 Mdot 0.59859 0.01472 Mdot 0.60045 0.01472 Mdot 0.60231 0.01472 Mdot 0.60417 0.01472 Mdot 0.60603 0.01472 Mdot 0.60789 0.01472 Mdot 0.60975 0.01472 Mdot 0.61161 0.01472 Mdot 0.61347 0.01472 Mdot 0.61533 0.01472 Mdot 0.61719 0.01472 Mdot 0.61905 0.01472 Mdot 0.62091 0.01472 Mdot 0.62277 0.01472 Mdot 0.62463 0.01472 Mdot 0.62649 0.01472 Mdot 0.62835 0.01472 Mdot 0.63021 0.01472 Mdot 0.63207 0.01472 Mdot 0.63393 0.01472 Mdot 0.63579 0.01472 Mdot 0.63765 0.01472 Mdot 0.63951 0.01472 Mdot 0.64137 0.01472 Mdot 0.64323 0.01472 Mdot 0.64509 0.01472 Mdot 0.64695 0.01472 Mdot 0.64881 0.01472 Mdot 0.65067 0.01472 Mdot 0.65253 0.01472 Mdot 0.65439 0.01472 Mdot 0.65625 0.01472 Mdot 0.65811 0.01472 Mdot 0.65997 0.01472 Mdot 0.66183 0.01472 Mdot 0.66369 0.01472 Mdot 0.66555 0.01472 Mdot 0.66741 0.01472 Mdot 0.66927 0.01472 Mdot 0.67113 0.01472 Mdot 0.67299 0.01472 Mdot 0.67485 0.01472 Mdot 0.67671 0.01472 Mdot 0.67857 0.01472 Mdot 0.68043 0.01472 Mdot 0.68229 0.01472 Mdot 0.68415 0.01472 Mdot 0.68601 0.01472 Mdot 0.68787 0.01472 Mdot 0.68973 0.01472 Mdot 0.69159 0.01472 Mdot 0.69345 0.01472 Mdot 0.69531 0.01472 Mdot 0.69717 0.01472 Mdot 0.69903 0.01472 Mdot 0.70089 0.01472 Mdot 0.70275 0.01472 Mdot 0.70461 0.01472 Mdot 0.70647 0.01472 Mdot 0.70833 0.01472 Mdot 0.71019 0.01472 Mdot 0.71205 0.01472 Mdot 0.71391 0.01472 Mdot 0.71577 0.01472 Mdot 0.71763 0.01472 Mdot 0.71949 0.01472 Mdot 0.72135 0.01472 Mdot 0.72321 0.01472 Mdot 0.72507 0.01472 Mdot 0.72693 0.01472 Mdot 0.72879 0.01472 Mdot 0.73065 0.01472 Mdot 0.73251 0.01472 Mdot 0.73438 0.01472 Mdot 0.73624 0.01472 Mdot 0.7381 0.01472 Mdot 0.73996 0.01472 Mdot 0.74182 0.01472 Mdot 0.74368 0.01472 Mdot 0.74554 0.01472 Mdot 0.7474 0.01472 Mdot 0.74926 0.01472 Mdot 0.75112 0.01472 Mdot 0.75298 0.01472 Mdot 0.75484 0.01472 Mdot 0.7567 0.01472 Mdot 0.75856 0.01472 Mdot 0.76042 0.01472 Mdot 0.76228 0.01472 Mdot 0.76414 0.01472 Mdot 0.766 0.01472 Mdot 0.76786 0.01472 Mdot 0.76972 0.01472 Mdot 0.77158 0.01472 Mdot 0.77344 0.01472 Mdot 0.7753 0.01472 Mdot 0.77716 0.01472 Mdot 0.77902 0.01472 Mdot 0.78088 0.01472 Mdot 0.78274 0.01472 Mdot 0.7846 0.01472 Mdot 0.78646 0.01472 Mdot 0.78832 0.01472 Mdot 0.79018 0.01472 Mdot 0.79204 0.01472 Mdot 0.7939 0.01472 Mdot 0.79576 0.01472 Mdot 0.79762 0.01472 Mdot 0.79948 0.01472 Mdot 0.80134 0.01472 Mdot 0.8032 0.01472 Mdot 0.80506 0.01472 Mdot 0.80692 0.01472 Mdot 0.80878 0.01472 Mdot 0.81064 0.01472 Mdot 0.8125 0.01472 Mdot 0.81436 0.01472 Mdot 0.81622 0.01472 Mdot 0.81808 0.01472 Mdot 0.81994 0.01472 Mdot 0.8218 0.01472 Mdot 0.82366 0.01472 Mdot 0.82552 0.01472 Mdot 0.82738 0.01472 Mdot 0.82924 0.01472 Mdot 0.8311 0.01472 Mdot 0.83296 0.01472 Mdot 0.83482 0.01472 Mdot 0.83668 0.01472 Mdot 0.83854 0.01472 Mdot 0.8404 0.01472 Mdot 0.84226 0.01472 Mdot 0.84412 0.01472 Mdot 0.84598 0.01472 Mdot 0.84784 0.01472 Mdot 0.8497 0.01472 Mdot 0.85156 0.01472 Mdot 0.85342 0.01472 Mdot 0.85528 0.01472 Mdot 0.85714 0.01472 Mdot 0.859 0.01472 Mdot 0.86086 0.01472 Mdot 0.86272 0.01472 Mdot 0.86458 0.01472 Mdot 0.86644 0.01472 Mdot 0.8683 0.01472 Mdot 0.87016 0.01472 Mdot 0.87202 0.01472 Mdot 0.87388 0.01472 Mdot 0.87574 0.01472 Mdot 0.8776 0.01472 Mdot 0.87946 0.01472 Mdot 0.88132 0.01472 Mdot 0.88318 0.01472 Mdot 0.88504 0.01472 Mdot 0.8869 0.01472 Mdot 0.88876 0.01472 Mdot 0.89063 0.01472 Mdot 0.89249 0.01472 Mdot 0.89435 0.01472 Mdot 0.89621 0.01472 Mdot 0.89807 0.01472 Mdot 0.89993 0.01472 Mdot 0.90179 0.01472 Mdot 0.90365 0.01472 Mdot 0.90551 0.01472 Mdot 0.90737 0.01472 Mdot 0.90923 0.01472 Mdot 0.91109 0.01472 Mdot 0.91295 0.01472 Mdot 0.91481 0.01472 Mdot 0.91667 0.01472 Mdot 0.91853 0.01472 Mdot 0.92039 0.01472 Mdot 0.92225 0.01472 Mdot 0.92411 0.01472 Mdot 0.92597 0.01472 Mdot 0.92783 0.01472 Mdot 0.92969 0.01472 Mdot 0.93155 0.01472 Mdot 0.93341 0.01472 Mdot 0.93527 0.01472 Mdot 0.93713 0.01472 Mdot 0.93899 0.01472 Mdot 0.94085 0.01472 Mdot 0.94271 0.01472 Mdot 0.94457 0.01472 Mdot 0.94643 0.01472 Mdot 0.94829 0.01472 Mdot 0.95015 0.01472 Mdot 0.95201 0.01472 Mdot 0.95387 0.03632 Mdot 0.95573 0.06142 Mdot 0.95759 0.09546 Mdot 0.95945 0.13838 Mdot 0.96131 0.18936 Mdot 0.96317 0.24684 Mdot 0.96503 0.30855 Mdot 0.96689 0.37165 Mdot 0.96875 0.43292 Mdot 0.97061 0.48897 Mdot 0.97247 0.53658 Mdot 0.97433 0.57286 Mdot 0.97619 0.59558 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLcl0000X0003 o`000>l0000X0003o`00008000?o0000d0000ol0000G0000:002oo00000X0003o`000>l0000X0003 o`000>l0000X0003o`000>l0000X00;ol00000l00_l40003o`0000<00_l300Go0`000ol0003_0000 3P001?l00?l80004o`00o`@000?o00000`000ol0003_00003P001?l00?l80004o`00o`@000?o0000 0`02o`<000?o0000d0000ol0000G00003P001?l00?l80004o`00o`@000?o00000`000ol0003_0000 3P001?l00?l80004o`00o`@000?o00000`000ol0003_00003P001?l00?l80004o`00o`800ol50003 o`000>l0000?00;o2P02o`D000?o00000`02oo00000X0003o`000>l0000X0003o`000>l0000X0003 o`000>l0000X00;ol00002P000?o0000k`0002P000Go0000o`3D0003o`0001H0000X0003o`000>l0 000X00;ol00002P000?o0000k`0002P000?o0000k`0002P000?o0000k`0002P00_o`00003`02o`@0 00?o00000`02o`<01?l40003o`000>l0000>0004o`00o`P000Co003o0P001?l00?l40003o`000>l0 000>0004o`00o`P000Co003o0`000ol000040003o`000>l0000>0004o`00o`P000Co003o10000ol0 000300;ol00000h000Co003o20001?l00?l50003o`00008000?o0000k`0000h000Co003o20001?l0 0?l20004o`00o`@000Go0000o`3D0003o`0001H0000?00;o2P02o`@00_l50003o`000>l0000X00;o l00002P000?o0000k`0002P000?o0000k`0002P000?o0000k`0002P00_o`0000:0000ol0003_0000 :0000ol0003_0000:002oo00000X0003o`000>l0000X0003o`000>l0000X0003o`000>l0000X00;o 0P000ol0003C0003o`0001D0000X0003o`000>l0000?00;o10000ol0000300;o1002o`D000?o0000 k`0000h000Co003o20001?l00?l20004o`00o`@000?o0000k`0000h000Co003o20001?l00?l50003 o`0000800_o`00003P001?l00?l80004o`00o`<00_l50003o`000>l0000>0004o`00o`P000Co003o 1@000ol000020003o`000>l0000>0004o`00o`P000Co003o0P001?l00?l40003o`000>l0000?00;o 2P02o`@00_l500;ol00002P000?o0000k`0002P000?o0000k`0002P000?o0000k`0002P00_o`0000 :0000ol0003_0000:0000ol0003_0000:0001?l00?oF0003o`0001D0000X00;ol00002P000?o0000 k`0002P000?o0000k`0002P000?o0000k`0002P00_o`00003`02o`@000?o00000`02o`D000?o0000 0`000ol0003_00003P001?l00?l80004o`00o`@000?o00000`000ol0003_00003P001?l00?l80005 o`00o`001Ol40003o`000>l0000>0004o`00o`P000Ko003o0?l20003o`0000<00_o`00003P001?l0 0?l80004o`00o`8000?o0?l01@000ol0003_00003P001?l00?l80004o`00o`<00_l50003o`000>l0 000?00;o2P02o`D000?o00000`02oo00000X0003o`000>l0000X0004o`00omL000?o0000500002P0 00?o0000k`0002P00_o`0000:0000ol0003_0000:0000ol0003_0000:0000ol0003_0000:002oo00 000X0003o`000>l0000X0003o`000>l0000X0003o`000>l0000X00;ol00000l00_l40003o`0000<0 0_l300?o1@000ol0003_00003P001?l00?l80004o`00o`D000?o00000P000ol0003_00003P001?l0 0?l80004o`00o`D000?o00000P000ol0003_00003P001?l00?l80004o`00o`800ol500?of0000ol0 000D00003P001?l00?l80004o`00o`8000?o00001@000ol0003_00003P001?l00?l80004o`00o`80 00?o00001@000ol0003_00003`02o`X00_l300Co10000ol0003_0000:002oo00000X0003o`000>l0 000X0003o`000>l0000X0003o`000>l0000X00;ol00002P000?o0000k`0002P000?o0000k`0002P0 00?o0000k`0002P00_o`0000:0000ol0o`3H0003o`0001@0000X0003o`000>l0000X00;ol00002P0 00?o0000k`0000l00_l40003o`0000<00_l400;o1@000ol0003_00003P001?l00?l80004o`00o`80 00Co003o10000ol0003_00003P001?l00?l80004o`00o`8000Co003o1002oo00000>0004o`00o`P0 00Co003o0P03o`D000?o0000k`0000h000Co003o20001?l00?l20003o`0000D000?o0000k`0000h0 00Co003o20001?l00?l30003o`0000@000?o0000k`0000l00_l:00;o1@02o`@00_o`0000:002omX0 00?o00004`0002P000?o0000k`0002P000?o0000k`0002P00_o`0000:0000ol0003_0000:0000ol0 003_0000:0000ol0003_0000:002oo00000X0003o`000>l0000X00;ofP000ol0000C0000:0000ol0 003_0000:002oo00000?00;o10000ol0000300;o10000ol000040003o`000>l0000>0004o`00o`P0 00Co003o0`000ol000040003o`000>l0000>0004o`00o`P000Co003o10000ol0000300;of`000ol0 000B00003P001?l00?l80004o`00o`@000?o00000`02oo00000>0004o`00o`P000Co003o1@000ol0 00020003o`000>l0000>0004o`00o`P000Co003o0P001?l00?l40003o`000>l0000?00;o2P02o`<0 1?l40003o`000>l0000X00;ol0000?l06`000?l06`000?l06`000?l06`000?l06`0007l01?nG0000 P0000ol0002G0000L`05o`050?ooo`000_l00`3o0002o`<000Co0?oo0`02o`X00_l300?o1`03o`<0 0ol400?oH@0007D000?o00000P001?l00?l200;o0P001?l0o`02o`<000Co003o20001_l00?l0o`<0 00?o00001@000ol000030003o`0000@000?o0000H00007D000?o00000P001?l00?l20007o`000?l0 o`020005o`000?l02`000ol000020005o`000?l01`000ol0o`030003o`3o00@000?o0000H00007D0 00?o00000P02o`040?l000;o0P000ol0o`020005o`000?l02`000ol000020005o`000?l01`03o`<0 0ol40003o`000600001e0004o`0000;o00@0o`000_l0103oo`02o`030?oo00801?l800Co0`03o`P0 00Co003o0P002_l00?l0o`3o0?mP0000L`05oaD000?o00002@000ol0000=00Go00<0ool00ol00`3o o`03of00002=0003o`0000T000?o0000OP000?l06`000?l06`000001\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-93.9268, -0.00850943, 2.31688, 0.000515737}}]}, Open]], Cell[TextData["W = fft[w];\t(* Kaiser window transform *)"], "Input"], Cell[TextData["Wdb = 20 Log[10,Abs[W]];"], "Input"], Cell[CellGroupData[{Cell[TextData["ListPlot[Wdb];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.603319 0.006514 [ [(100)] 0.20982 0.60332 0 2 Msboxa [(200)] 0.39583 0.60332 0 2 Msboxa [(300)] 0.58185 0.60332 0 2 Msboxa [(400)] 0.76786 0.60332 0 2 Msboxa [(500)] 0.95387 0.60332 0 2 Msboxa [(-80)] 0.01131 0.08218 1 0 Msboxa [(-60)] 0.01131 0.21246 1 0 Msboxa [(-40)] 0.01131 0.34275 1 0 Msboxa [(-20)] 0.01131 0.47303 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.60332 moveto 0.20982 0.60957 lineto stroke grestore [(100)] 0.20982 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.60332 moveto 0.39583 0.60957 lineto stroke grestore [(200)] 0.39583 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.60332 moveto 0.58185 0.60957 lineto stroke grestore [(300)] 0.58185 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.60332 moveto 0.76786 0.60957 lineto stroke grestore [(400)] 0.76786 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.60332 moveto 0.95387 0.60957 lineto stroke grestore [(500)] 0.95387 0.60332 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.60332 moveto 0.06101 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.60332 moveto 0.09821 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.60332 moveto 0.13542 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.60332 moveto 0.17262 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.60332 moveto 0.24702 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.60332 moveto 0.28423 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.60332 moveto 0.32143 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.60332 moveto 0.35863 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.60332 moveto 0.43304 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.60332 moveto 0.47024 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.60332 moveto 0.50744 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.60332 moveto 0.54464 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.60332 moveto 0.61905 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.60332 moveto 0.65625 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.60332 moveto 0.69345 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.60332 moveto 0.73065 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.60332 moveto 0.80506 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.60332 moveto 0.84226 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.60332 moveto 0.87946 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.60332 moveto 0.91667 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.60332 moveto 0.99107 0.60707 lineto stroke grestore gsave 0.002 setlinewidth 0 0.60332 moveto 1 0.60332 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.08218 moveto 0.03006 0.08218 lineto stroke grestore [(-80)] 0.01131 0.08218 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.21246 moveto 0.03006 0.21246 lineto stroke grestore [(-60)] 0.01131 0.21246 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.34275 moveto 0.03006 0.34275 lineto stroke grestore [(-40)] 0.01131 0.34275 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.47303 moveto 0.03006 0.47303 lineto stroke grestore [(-20)] 0.01131 0.47303 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.10823 moveto 0.02756 0.10823 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.13429 moveto 0.02756 0.13429 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.16035 moveto 0.02756 0.16035 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1864 moveto 0.02756 0.1864 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23852 moveto 0.02756 0.23852 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.26458 moveto 0.02756 0.26458 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.29063 moveto 0.02756 0.29063 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.31669 moveto 0.02756 0.31669 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3688 moveto 0.02756 0.3688 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.39486 moveto 0.02756 0.39486 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.42092 moveto 0.02756 0.42092 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44698 moveto 0.02756 0.44698 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.49909 moveto 0.02756 0.49909 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.52515 moveto 0.02756 0.52515 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5512 moveto 0.02756 0.5512 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.57726 moveto 0.02756 0.57726 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.05612 moveto 0.02756 0.05612 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.03006 moveto 0.02756 0.03006 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.004 moveto 0.02756 0.004 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.02567 0.60332 Mdot 0.02753 0.6032 Mdot 0.02939 0.60285 Mdot 0.03125 0.60227 Mdot 0.03311 0.60145 Mdot 0.03497 0.60039 Mdot 0.03683 0.59909 Mdot 0.03869 0.59755 Mdot 0.04055 0.59577 Mdot 0.04241 0.59373 Mdot 0.04427 0.59144 Mdot 0.04613 0.58888 Mdot 0.04799 0.58606 Mdot 0.04985 0.58296 Mdot 0.05171 0.57957 Mdot 0.05357 0.57589 Mdot 0.05543 0.5719 Mdot 0.05729 0.5676 Mdot 0.05915 0.56295 Mdot 0.06101 0.55795 Mdot 0.06287 0.55258 Mdot 0.06473 0.5468 Mdot 0.06659 0.5406 Mdot 0.06845 0.53394 Mdot 0.07031 0.52677 Mdot 0.07217 0.51905 Mdot 0.07403 0.51072 Mdot 0.07589 0.50169 Mdot 0.07775 0.49187 Mdot 0.07961 0.48113 Mdot 0.08147 0.46929 Mdot 0.08333 0.45609 Mdot 0.08519 0.44116 Mdot 0.08705 0.42389 Mdot 0.08891 0.4032 Mdot 0.09077 0.37688 Mdot 0.09263 0.33893 Mdot 0.09449 0.25647 Mdot 0.09635 0.28143 Mdot 0.09821 0.32639 Mdot 0.10007 0.34443 Mdot 0.10193 0.353 Mdot 0.10379 0.3563 Mdot 0.10565 0.35592 Mdot 0.10751 0.35251 Mdot 0.10938 0.34627 Mdot 0.11124 0.33701 Mdot 0.1131 0.32405 Mdot 0.11496 0.30585 Mdot 0.11682 0.27837 Mdot 0.11868 0.22552 Mdot 0.12054 0.17924 Mdot 0.1224 0.25664 Mdot 0.12426 0.2846 Mdot 0.12612 0.30016 Mdot 0.12798 0.30958 Mdot 0.12984 0.31507 Mdot 0.1317 0.31765 Mdot 0.13356 0.3178 Mdot 0.13542 0.31575 Mdot 0.13728 0.31151 Mdot 0.13914 0.30492 Mdot 0.141 0.29553 Mdot 0.14286 0.28248 Mdot 0.14472 0.26387 Mdot 0.14658 0.23467 Mdot 0.14844 0.17134 Mdot 0.1503 0.17052 Mdot 0.15216 0.23023 Mdot 0.15402 0.25623 Mdot 0.15588 0.27173 Mdot 0.15774 0.28173 Mdot 0.1596 0.28813 Mdot 0.16146 0.29185 Mdot 0.16332 0.29334 Mdot 0.16518 0.29282 Mdot 0.16704 0.29036 Mdot 0.1689 0.28589 Mdot 0.17076 0.27915 Mdot 0.17262 0.26965 Mdot 0.17448 0.25639 Mdot 0.17634 0.23728 Mdot 0.1782 0.20649 Mdot 0.18006 0.13258 Mdot 0.18192 0.16013 Mdot 0.18378 0.21254 Mdot 0.18564 0.23736 Mdot 0.1875 0.25266 Mdot 0.18936 0.26284 Mdot 0.19122 0.2696 Mdot 0.19308 0.27381 Mdot 0.19494 0.27588 Mdot 0.1968 0.27606 Mdot 0.19866 0.27441 Mdot 0.20052 0.27088 Mdot 0.20238 0.26529 Mdot 0.20424 0.25726 Mdot 0.2061 0.24605 Mdot 0.20796 0.23018 Mdot 0.20982 0.20615 Mdot 0.21168 0.1614 Mdot 0.21354 0.07174 Mdot 0.2154 0.17932 Mdot 0.21726 0.21252 Mdot 0.21912 0.23163 Mdot 0.22098 0.2442 Mdot 0.22284 0.25277 Mdot 0.2247 0.25849 Mdot 0.22656 0.26195 Mdot 0.22842 0.26348 Mdot 0.23028 0.26321 Mdot 0.23214 0.26117 Mdot 0.234 0.25729 Mdot 0.23586 0.25132 Mdot 0.23772 0.24282 Mdot 0.23958 0.23095 Mdot 0.24144 0.21398 Mdot 0.2433 0.18758 Mdot 0.24516 0.1338 Mdot 0.24702 0.10359 Mdot 0.24888 0.17643 Mdot 0.25074 0.20579 Mdot 0.2526 0.22349 Mdot 0.25446 0.23536 Mdot 0.25632 0.24355 Mdot 0.25818 0.24906 Mdot 0.26004 0.25241 Mdot 0.2619 0.2539 Mdot 0.26376 0.25364 Mdot 0.26563 0.25165 Mdot 0.26749 0.24784 Mdot 0.26935 0.24198 Mdot 0.27121 0.23362 Mdot 0.27307 0.22194 Mdot 0.27493 0.20524 Mdot 0.27679 0.17928 Mdot 0.27865 0.127 Mdot 0.28051 0.09073 Mdot 0.28237 0.16666 Mdot 0.28423 0.19662 Mdot 0.28609 0.21467 Mdot 0.28795 0.22682 Mdot 0.28981 0.23527 Mdot 0.29167 0.24102 Mdot 0.29353 0.24463 Mdot 0.29539 0.24638 Mdot 0.29725 0.24641 Mdot 0.29911 0.24474 Mdot 0.30097 0.24129 Mdot 0.30283 0.23586 Mdot 0.30469 0.22805 Mdot 0.30655 0.21711 Mdot 0.30841 0.20157 Mdot 0.31027 0.1779 Mdot 0.31213 0.13362 Mdot 0.31399 0.0434 Mdot 0.31585 0.15211 Mdot 0.31771 0.18583 Mdot 0.31957 0.20546 Mdot 0.32143 0.21856 Mdot 0.32329 0.2277 Mdot 0.32515 0.23402 Mdot 0.32701 0.23813 Mdot 0.32887 0.24036 Mdot 0.33073 0.24085 Mdot 0.33259 0.23968 Mdot 0.33445 0.23677 Mdot 0.33631 0.23197 Mdot 0.33817 0.22493 Mdot 0.34003 0.21503 Mdot 0.34189 0.20107 Mdot 0.34375 0.18037 Mdot 0.34561 0.14475 Mdot 0.34747 0.0155 Mdot 0.34933 0.13152 Mdot 0.35119 0.17323 Mdot 0.35305 0.19572 Mdot 0.35491 0.2104 Mdot 0.35677 0.2206 Mdot 0.35863 0.22774 Mdot 0.36049 0.23255 Mdot 0.36235 0.2354 Mdot 0.36421 0.2365 Mdot 0.36607 0.23593 Mdot 0.36793 0.23368 Mdot 0.36979 0.22961 Mdot 0.37165 0.22346 Mdot 0.37351 0.21472 Mdot 0.37537 0.20246 Mdot 0.37723 0.18469 Mdot 0.37909 0.15621 Mdot 0.38095 0.09192 Mdot 0.38281 0.09885 Mdot 0.38467 0.15799 Mdot 0.38653 0.18513 Mdot 0.38839 0.2021 Mdot 0.39025 0.21375 Mdot 0.39211 0.22195 Mdot 0.39397 0.22761 Mdot 0.39583 0.23121 Mdot 0.39769 0.23301 Mdot 0.39955 0.23314 Mdot 0.40141 0.23161 Mdot 0.40327 0.22833 Mdot 0.40513 0.22311 Mdot 0.40699 0.21554 Mdot 0.40885 0.20491 Mdot 0.41071 0.18978 Mdot 0.41257 0.16677 Mdot 0.41443 0.12424 Mdot 0.41629 0.01472 Mdot 0.41815 0.13819 Mdot 0.42001 0.17314 Mdot 0.42188 0.19337 Mdot 0.42374 0.20693 Mdot 0.4256 0.21645 Mdot 0.42746 0.22313 Mdot 0.42932 0.2276 Mdot 0.43118 0.23018 Mdot 0.43304 0.23106 Mdot 0.4349 0.23029 Mdot 0.43676 0.22783 Mdot 0.43862 0.22354 Mdot 0.44048 0.2171 Mdot 0.44234 0.20798 Mdot 0.4442 0.19511 Mdot 0.44606 0.17626 Mdot 0.44792 0.14513 Mdot 0.44978 0.06425 Mdot 0.45164 0.10878 Mdot 0.4535 0.15885 Mdot 0.45536 0.1839 Mdot 0.45722 0.19996 Mdot 0.45908 0.2111 Mdot 0.46094 0.21898 Mdot 0.4628 0.22443 Mdot 0.46466 0.22787 Mdot 0.46652 0.22954 Mdot 0.46838 0.22956 Mdot 0.47024 0.22792 Mdot 0.4721 0.22453 Mdot 0.47396 0.21917 Mdot 0.47582 0.21141 Mdot 0.47768 0.20047 Mdot 0.47954 0.18482 Mdot 0.4814 0.16069 Mdot 0.48326 0.11421 Mdot 0.48512 0.04636 Mdot 0.48698 0.14056 Mdot 0.48884 0.17323 Mdot 0.4907 0.19265 Mdot 0.49256 0.2058 Mdot 0.49442 0.21509 Mdot 0.49628 0.22162 Mdot 0.49814 0.22599 Mdot 0.5 0.22851 Mdot 0.50186 0.22933 Mdot 0.50372 0.22851 Mdot 0.50558 0.22599 Mdot 0.50744 0.22162 Mdot 0.5093 0.21509 Mdot 0.51116 0.2058 Mdot 0.51302 0.19265 Mdot 0.51488 0.17323 Mdot 0.51674 0.14056 Mdot 0.5186 0.04636 Mdot 0.52046 0.11421 Mdot 0.52232 0.16069 Mdot 0.52418 0.18482 Mdot 0.52604 0.20047 Mdot 0.5279 0.21141 Mdot 0.52976 0.21917 Mdot 0.53162 0.22453 Mdot 0.53348 0.22792 Mdot 0.53534 0.22956 Mdot 0.5372 0.22954 Mdot 0.53906 0.22787 Mdot 0.54092 0.22443 Mdot 0.54278 0.21898 Mdot 0.54464 0.2111 Mdot 0.5465 0.19996 Mdot 0.54836 0.1839 Mdot 0.55022 0.15885 Mdot 0.55208 0.10878 Mdot 0.55394 0.06425 Mdot 0.5558 0.14513 Mdot 0.55766 0.17626 Mdot 0.55952 0.19511 Mdot 0.56138 0.20798 Mdot 0.56324 0.2171 Mdot 0.5651 0.22354 Mdot 0.56696 0.22783 Mdot 0.56882 0.23029 Mdot 0.57068 0.23106 Mdot 0.57254 0.23018 Mdot 0.5744 0.2276 Mdot 0.57626 0.22313 Mdot 0.57813 0.21645 Mdot 0.57999 0.20693 Mdot 0.58185 0.19337 Mdot 0.58371 0.17314 Mdot 0.58557 0.13819 Mdot 0.58743 0.01472 Mdot 0.58929 0.12424 Mdot 0.59115 0.16677 Mdot 0.59301 0.18978 Mdot 0.59487 0.20491 Mdot 0.59673 0.21554 Mdot 0.59859 0.22311 Mdot 0.60045 0.22833 Mdot 0.60231 0.23161 Mdot 0.60417 0.23314 Mdot 0.60603 0.23301 Mdot 0.60789 0.23121 Mdot 0.60975 0.22761 Mdot 0.61161 0.22195 Mdot 0.61347 0.21375 Mdot 0.61533 0.2021 Mdot 0.61719 0.18513 Mdot 0.61905 0.15799 Mdot 0.62091 0.09885 Mdot 0.62277 0.09192 Mdot 0.62463 0.15621 Mdot 0.62649 0.18469 Mdot 0.62835 0.20246 Mdot 0.63021 0.21472 Mdot 0.63207 0.22346 Mdot 0.63393 0.22961 Mdot 0.63579 0.23368 Mdot 0.63765 0.23593 Mdot 0.63951 0.2365 Mdot 0.64137 0.2354 Mdot 0.64323 0.23255 Mdot 0.64509 0.22774 Mdot 0.64695 0.2206 Mdot 0.64881 0.2104 Mdot 0.65067 0.19572 Mdot 0.65253 0.17323 Mdot 0.65439 0.13152 Mdot 0.65625 0.0155 Mdot 0.65811 0.14475 Mdot 0.65997 0.18037 Mdot 0.66183 0.20107 Mdot 0.66369 0.21503 Mdot 0.66555 0.22493 Mdot 0.66741 0.23197 Mdot 0.66927 0.23677 Mdot 0.67113 0.23968 Mdot 0.67299 0.24085 Mdot 0.67485 0.24036 Mdot 0.67671 0.23813 Mdot 0.67857 0.23402 Mdot 0.68043 0.2277 Mdot 0.68229 0.21856 Mdot 0.68415 0.20546 Mdot 0.68601 0.18583 Mdot 0.68787 0.15211 Mdot 0.68973 0.0434 Mdot 0.69159 0.13362 Mdot 0.69345 0.1779 Mdot 0.69531 0.20157 Mdot 0.69717 0.21711 Mdot 0.69903 0.22805 Mdot 0.70089 0.23586 Mdot 0.70275 0.24129 Mdot 0.70461 0.24474 Mdot 0.70647 0.24641 Mdot 0.70833 0.24638 Mdot 0.71019 0.24463 Mdot 0.71205 0.24102 Mdot 0.71391 0.23527 Mdot 0.71577 0.22682 Mdot 0.71763 0.21467 Mdot 0.71949 0.19662 Mdot 0.72135 0.16666 Mdot 0.72321 0.09073 Mdot 0.72507 0.127 Mdot 0.72693 0.17928 Mdot 0.72879 0.20524 Mdot 0.73065 0.22194 Mdot 0.73251 0.23362 Mdot 0.73438 0.24198 Mdot 0.73624 0.24784 Mdot 0.7381 0.25165 Mdot 0.73996 0.25364 Mdot 0.74182 0.2539 Mdot 0.74368 0.25241 Mdot 0.74554 0.24906 Mdot 0.7474 0.24355 Mdot 0.74926 0.23536 Mdot 0.75112 0.22349 Mdot 0.75298 0.20579 Mdot 0.75484 0.17643 Mdot 0.7567 0.10359 Mdot 0.75856 0.1338 Mdot 0.76042 0.18758 Mdot 0.76228 0.21398 Mdot 0.76414 0.23095 Mdot 0.766 0.24282 Mdot 0.76786 0.25132 Mdot 0.76972 0.25729 Mdot 0.77158 0.26117 Mdot 0.77344 0.26321 Mdot 0.7753 0.26348 Mdot 0.77716 0.26195 Mdot 0.77902 0.25849 Mdot 0.78088 0.25277 Mdot 0.78274 0.2442 Mdot 0.7846 0.23163 Mdot 0.78646 0.21252 Mdot 0.78832 0.17932 Mdot 0.79018 0.07174 Mdot 0.79204 0.1614 Mdot 0.7939 0.20615 Mdot 0.79576 0.23018 Mdot 0.79762 0.24605 Mdot 0.79948 0.25726 Mdot 0.80134 0.26529 Mdot 0.8032 0.27088 Mdot 0.80506 0.27441 Mdot 0.80692 0.27606 Mdot 0.80878 0.27588 Mdot 0.81064 0.27381 Mdot 0.8125 0.2696 Mdot 0.81436 0.26284 Mdot 0.81622 0.25266 Mdot 0.81808 0.23736 Mdot 0.81994 0.21254 Mdot 0.8218 0.16013 Mdot 0.82366 0.13258 Mdot 0.82552 0.20649 Mdot 0.82738 0.23728 Mdot 0.82924 0.25639 Mdot 0.8311 0.26965 Mdot 0.83296 0.27915 Mdot 0.83482 0.28589 Mdot 0.83668 0.29036 Mdot 0.83854 0.29282 Mdot 0.8404 0.29334 Mdot 0.84226 0.29185 Mdot 0.84412 0.28813 Mdot 0.84598 0.28173 Mdot 0.84784 0.27173 Mdot 0.8497 0.25623 Mdot 0.85156 0.23023 Mdot 0.85342 0.17052 Mdot 0.85528 0.17134 Mdot 0.85714 0.23467 Mdot 0.859 0.26387 Mdot 0.86086 0.28248 Mdot 0.86272 0.29553 Mdot 0.86458 0.30492 Mdot 0.86644 0.31151 Mdot 0.8683 0.31575 Mdot 0.87016 0.3178 Mdot 0.87202 0.31765 Mdot 0.87388 0.31507 Mdot 0.87574 0.30958 Mdot 0.8776 0.30016 Mdot 0.87946 0.2846 Mdot 0.88132 0.25664 Mdot 0.88318 0.17924 Mdot 0.88504 0.22552 Mdot 0.8869 0.27837 Mdot 0.88876 0.30585 Mdot 0.89063 0.32405 Mdot 0.89249 0.33701 Mdot 0.89435 0.34627 Mdot 0.89621 0.35251 Mdot 0.89807 0.35592 Mdot 0.89993 0.3563 Mdot 0.90179 0.353 Mdot 0.90365 0.34443 Mdot 0.90551 0.32639 Mdot 0.90737 0.28143 Mdot 0.90923 0.25647 Mdot 0.91109 0.33893 Mdot 0.91295 0.37688 Mdot 0.91481 0.4032 Mdot 0.91667 0.42389 Mdot 0.91853 0.44116 Mdot 0.92039 0.45609 Mdot 0.92225 0.46929 Mdot 0.92411 0.48113 Mdot 0.92597 0.49187 Mdot 0.92783 0.50169 Mdot 0.92969 0.51072 Mdot 0.93155 0.51905 Mdot 0.93341 0.52677 Mdot 0.93527 0.53394 Mdot 0.93713 0.5406 Mdot 0.93899 0.5468 Mdot 0.94085 0.55258 Mdot 0.94271 0.55795 Mdot 0.94457 0.56295 Mdot 0.94643 0.5676 Mdot 0.94829 0.5719 Mdot 0.95015 0.57589 Mdot 0.95201 0.57957 Mdot 0.95387 0.58296 Mdot 0.95573 0.58606 Mdot 0.95759 0.58888 Mdot 0.95945 0.59144 Mdot 0.96131 0.59373 Mdot 0.96317 0.59577 Mdot 0.96503 0.59755 Mdot 0.96689 0.59909 Mdot 0.96875 0.60039 Mdot 0.97061 0.60145 Mdot 0.97247 0.60227 Mdot 0.97433 0.60285 Mdot 0.97619 0.6032 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00000L0 00Co003o0P001?l00?l40003o`000?l00`0000L000Co003o0P001?l00?l40003o`000?l00`000003 0?oo00;o0`02o`<000Co003o1002ool0100000L000Co003o0P001?l00?l40003o`000?l00`0000L0 00Co003o0P001?l00?l40003o`0004000_lI00;o?P02oaT00_m:00002002o`@00_l50003o`000400 0_lI00;o?P02oaT00_m:00005@000ol0001L00;o?@02ofD0000E0003o`0003P00_lR00;o?@02ob80 0_m100005@000ol0000h00;o=002oaT00_ld00;o@@0001D00_m_00;o6@02ogL0000E0003o`0007H0 0_l800;oP00001D000?o0000MP02o`P00_n000005@000ol0001T00;o;@02ofd0000E0003o`000400 0_lR00;o;@02ob800_m900005@000ol0001000;o4@02odl00_lA00;oB@0001D000?o00009P02o`l0 0_l@00;o2002odl00_l800;o3`02oa000_l_00005@02obL00_l?00;o4002oaX00_l[00;o6P02o`l0 0_l@00;o;`0001D000?o0000I@02oa000_l600;o4@02ofh0000E0003o`0005800_lI00;o2002o`H0 0_l900;o6@02oe/0000E0003o`0005800_lI00;o6`02oaT00_mK00005@000ol0001:00;oH@02oe<0 000E0003o`0004X00_l?00?o?004o`l00_mC00005@02obL00_l600;o:`03oa000_l600;o2@02o`D0 0_l@00Co:P02o`H00_l`00005@000ol0000V00;o1P02och00_l600;o2@02o`D00_ln00;o1P02oc00 000E0003o`0004400_lQ00;o;@02ob400_m:00005@000ol0000M00?o8@02oa000_l?00Co4002o`D0 0_l@00Co3P02oa400_lQ00;o9`0001D000?o00007@03oaP00_lI00;o4@02o`@00_l:00;o1@02o`T0 0_l500;o4002oaX00_lH00;o9`0001D000?o00005P02oaL00_l700;o1@02o`L00_l700;o6@02oa`0 0_lI00;o1`02o`L00_l600;o1P02oaP00_lO00005@000ol0000F00;o5`02o`h00_l700;o1`02oa`0 0_lG00;o6`02o`L00_l700;o3P02oaP00_lO00005@02ocP00_lA00;o3P02o`030?oo01000_l400;o 2P02o`D00_l@00Co3P02oa800_m000005@000ol0000g00;o4@02o`h00_l00`3oo`0400;o4002o`X0 0_l@00;o1@04o`h00_lB00;o@00001D000?o0000E002o`d00_l00`3oo`0400;o2P02o`@00_l;00;o 1004o`h00_mM00005@000ol0001100;o4@02oa000_l400;o2P02o`@00_l;00;o1002oa000_l@00;o B`0001D000?o0000@@02o`D00_l700;o1`02o`030?oo01000_l400;o2`02o`<00_l@00;o0P02o`L0 0_l700;o1002od/0000800;o1002o`D000?o00009@02o`L00_l900;o1002o`L00_l00`3oo`0400;o 1`02o`030?oo00@00_l200;o1P02o`@00_l200;o0`02o`800_l300;o1`02o`800_l300;o0P02o`L0 0_l400;o00<0ool01`02o`@00_l900;o1P02obl000070004o`00o`8000Co003o10000ol0000U00;o 1`02o`T00_l400;o2P02o`L00_l=00;o0P02o`800_l<00;o0`02o`/00_l300;o0P02o``00_l800;o 2P02o`@00_l900;o1P02obl000070004o`00o`8000Co003o1002obP00_l700;o1002o`X00_l@00;o 0`02o`<00_l;00;o0`02o`800_l<00;o0`02o`800_l<00;o0P02o`<00_lA00;o2@02o`D00_l700;o <00000030?oo00;o0P03o`<000Co003o10000ol0000W00;o1`02o`@00_l:00;o0`02o`L00_l700;o 0`02o`800_l300;o0P02o`<00_l200;o0`02o`800_l300;o0`02o`<00_l200;o0P02o`<00_l200;o 1`02o`L00_l400;o2@02o`D00_l700;o<00000L000?o00000`001?l00?l40003o`0003h00_l700;o 0P02o`<00_l300;o1`02o`800_l300;o0P02o`<00_l200;o0`03o`030?oo00@00_l00`3oo`0400;o 0P02o`800_l200;o2002o`800_l300;o0P02o`L00_m8000020000ol000020004o`00o`@000?o0000 5@02ob800_l300;o2`02o`<00_l300;o0P02o`<00_l200;o0`02o`030?oo00@01_l400Go1002o`03 0?oo00@00_l00`3oo`0400;o00<0ool01002o`800_l300;o0P02o`/00_l400;o8@02oal0000900;o 0`02o`D000?o00005@02ob800_l700;o0`02o`<00_l200;o0`02o`040?ooo`@01Ol300Go1@04o`D0 1?l500Go1005o`@00_l00`3oo`0400;o00<0ool01002o`800_l300;o0P02o`P00_lQ00;o7`0001D0 00?o00007P02o`d00_l00`3oo`0400;o2P02o`<00_l300;o00<0ool01005o`D01?l500Co1@04o`H0 0ol600?o1P04o`@01Ol400;o00<0ool01002o`800_l300;o0P02o`/00_l300;o00<0ool03@02obP0 000E0003o`0001d00ol500;o1P02o`030?oo00@00_l200;o0P02o`<00_l00`3oo`0400;o00<0ool0 1@04o`D01?l500?o8P03o`H00ol600Co1005o`@00_l200;o0`02o`800_l200;o0`02o`030?oo00L0 0_l400Co9P0001D00_lN00;o1P04oa400_l200;o0`02o`030?oo00@01Ol500CoA@03o`H01?l400;o 00@0oooo0`02o`800_l@00;o00<0ool01P02obH0000E0003o`0002L00_l800;o0P02o`<00_l00`3o o`0400Go1@03oeP01?l500Co1002o`800_l200;o0`02o`L00_la00005@000ol0000]00;o0P02o`80 0_l300;o00<0ool01@04ofT01?l400?o00<0ool00P02o`<00_l200;o=P0001D000?o0000;@02o`H0 0_l300Go1@03of/00_l600Co1002o`H00_lf00005@000ol0000X00;o1`02o`800_l300CoO004o`@0 0_l00`3oo`0800;o<@0001D000?o00003`02o`D00_l700;o0`02o`800_l200;o0`05o`D00omm00?o 1002o`030?oo00<00_l300;o00<0ool01002o`H00_l600;o600001D000?o00003`02o`D00_l700;o 0`02o`800_l200;o1004oh`01Ol300;o0P02o`800_l400;o1P02o`H00_lH00005@02oad00_l:00;o 0P02o`@01?n=00?o1@02o`030?oo00X00_lV00005@000ol0000L00;o1P02o`<01OnM00;o00<0ool0 0`02o`D00_lV00005@000ol0000O00;o0`02o`<01?nN00Go0`02o`800_lY00005@000ol0000E00;o 2002o`P01?nO00?o2002o`T00_lN00005@000ol0000?00;o1002o`T00_l00`3oo`0500;oX003o`@0 0_l200;o2@02o`<00_lI00005@000ol0000?00;o1P02o`<00_l200;o00<0ool0[P03o`030?oo0080 0_l300;o1@02oaT0000E0003o`0001L00_l300;o0P02o`030?oo0:l01?l300;o0`02ob00000E00;o 8@04ok001?lZ00005@000ol0000K00;o1003ok001?l300;o9@0001D000?o00005`02o`800_nn00;o 0P02ob40000E0003o`0001L00_l200;o_`02o`030?oo0240000E0003o`0001@00_l500;o_`02o`@0 0_lN00005@000ol0000D00;o0P04ol000_l0103oo`02oah0000E0003o`0001P01?o000Go8@0001D0 0_lI00Co`@03ob80000E0003o`0001T00_o200?o8P0001D000?o00004002o`800_o=00;o0P02oaT0 000E0003o`0001000_l200;oc@02o`800_lI00002@000ol0000200;o1@000ol0003o00<000090005 o`000?l00P000ol000020003o`0001<00_o>00;o7@0000H01Ol20004o`00o`@000?o00003P02o`<0 0_o>00;o0`02oaP000000`3oo`02o`050?l00?l00`001?l00?l400;o3`04o`030?oo000;of@02oaL0000E0003o`000?l00`0001D000?o0000 o`0300005@000ol0003o00<0000E00;oo`0400005@000ol0003o00<0000E0003o`0000h00_oI00;o 5`0001D000?o00003P02omT00_lG00005@000ol0003o00<0000E0003o`000?l00`0001D000?o0000 o`0300005@02o`h00_oK00;o5P0001D000?o00003@02om/00_lF00005@000ol0003o00<0000E0003 o`000?l00`0001D000?o0000o`0300005@000ol0000=00;of`02oaH0000E0003o`0000d00_oK00;o 5P0001D00_oo00@0000E0003o`000?l00`0001D000?o00003002omd00_lE00005@000ol0000<00;o g@02oaD0000700Co0`02o`D000?o0000o`0300001`001?l00?l20004o`00o`@000?o00003002omd0 0_lE000020000ol000020004o`00o`@000?o00003002omd00_lE000000<0ool00_l40005o`000?l0 0P000ol0000200;oo`0400002P001?l00?l20003o`00008000?o00002`02oml00_lD00001`001?l0 0?l20004o`00o`@000?o00002`02oml00_lD00002002o`@00_l50003o`000?l00`0001D000?o0000 2`02oml00_lD00005@000ol0000;00;og`02oa@0000E0003o`000?l00`0001D00_l;00;oh002oa@0 000E0003o`0000X00_oP00;o500001D000?o00002P02on400_lC00005@000ol0000:00;oh@02oa<0 000E0003o`0000T00_oR00;o4`0001D000?o00002@02on800_lC00005@02o`X00_oS00;o4P0001D0 00?o00002@02on<00_lB00005@000ol0000800;oi002oa80000E0003o`0000P00_oT00;o4P0001D0 00?o00002002onD00_lA00005@000ol0000800;oi@02oa40000E0003o`0000L00_oV00;o4@0001D0 0_l800;oiP03oa00000E0003o`0000L00_lM00Go0P02o`@00_lS00Co0`02o`@00_lS00;o1002o`@0 0_lU0003o`0000800_l400;o8P03o`040?oo00;o1002o`L0000E0003o`0000H00_lP0005o`000?l0 0P001?l00?l20003o`00020000Co003o0P001?l00?l20004o`00ob4000Co003o0P001?l00?l20004 o`00ob@000Go0000o`020004o`00o`8000?o00008P04o`8000Co003o0P000ol0000400005@000ol0 000600;o80001Ol0003o008000Co003o0P000ol0000Q0003o`00008000Co003o0P001?l00?lT0004 o`00o`8000Co003o0P000ol0000O00Go0P001?l00?l20004o`00ob@01?l20004o`00o`8000?o0000 100001D000?o00001@03ob0000Go0000o`020004o`00o`8000?o00008P001Ol0003o008000Co003o 0P000ol0000P00;o0`001?l00?l20004o`00ob4000Co003o0`001?l00?l20004o`00ob400ol200;o 0P001?l00?l20003o`0000@0000E0003o`0000D00_lQ0005o`000?l00P001?l00?l20003o`0002<0 00Co003o0P001?l00?l20003o`00028000Co003o0P001?l00?l20003o`00020000?o0?l00`001?l0 0?l20004o`00ob4000?o00000P03o`050?l00?l00P000ol0000400005@000ol0000400?o7`03o`<0 00Co003o0P001?l00?lR0004o`00o`8000Co003o0P001?l00?lQ0004o`00o`8000Co003o0P001?l0 0?lS00;o0`001?l00?l20004o`00ob4000?o00000`02o`050?l00?l00P000ol0000400005@02o`D0 0_lR0003o`0000800_l400;o9002o`@00_l400;o8`02o`@00_l400;o9@000ol0000200;o1002ob80 1?l200?o1002o`L0000E0003o`0000<00oo]00;o3@0001D000?o00000`02onh00ol<00005@000ol0 000200?ok`02o``0000E0004o`0000?ol003o`/0000E0003o`0000Col@03o`X0000E0003o`3o00?o l`04o`P0000>0?oo3?l100005@03o`L000?o00001`000ol000060003o`0000L000?o00001`000ol0 00070003o`0000L000?o00001`000ol000070003o`0000L000?o00001`000ol000060003o`0000L0 00?o00001`000ol000070003o`0000L000?o00001`000ol000070003o`0000L000?o00001`000ol0 00060003o`0000L000?o00001`000ol000070003o`0000L000Co00000ol30003o`000040000E0003 o`0002h000?o0000;`000ol0000^0003o`0002l000?o0000;P000ol0000;00005@000ol0003o00<0 000E0003o`000?l00`000?l06`000?l06`000?l06`000?l06`000001\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-43.0053, -95.1391, 2.0227, 0.57756}}]}, Open]], Cell[CellGroupData[{Cell[TextData[ "tmp1 = Table[Wdb[[i]],{i,1,NN/2}];\ntmp2 = Table[Wdb[[i]],{i,NN/2+1,NN}];\n\ Wdbro = Flatten[{tmp2,tmp1}];"], "Input"], Cell[CellGroupData[{Cell[TextData["pWdbro = ListPlot[Wdbro];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.603319 0.006514 [ [(100)] 0.20982 0.60332 0 2 Msboxa [(200)] 0.39583 0.60332 0 2 Msboxa [(300)] 0.58185 0.60332 0 2 Msboxa [(400)] 0.76786 0.60332 0 2 Msboxa [(500)] 0.95387 0.60332 0 2 Msboxa [(-80)] 0.01131 0.08218 1 0 Msboxa [(-60)] 0.01131 0.21246 1 0 Msboxa [(-40)] 0.01131 0.34275 1 0 Msboxa [(-20)] 0.01131 0.47303 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.60332 moveto 0.20982 0.60957 lineto stroke grestore [(100)] 0.20982 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.60332 moveto 0.39583 0.60957 lineto stroke grestore [(200)] 0.39583 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.60332 moveto 0.58185 0.60957 lineto stroke grestore [(300)] 0.58185 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.60332 moveto 0.76786 0.60957 lineto stroke grestore [(400)] 0.76786 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.60332 moveto 0.95387 0.60957 lineto stroke grestore [(500)] 0.95387 0.60332 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.60332 moveto 0.06101 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.60332 moveto 0.09821 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.60332 moveto 0.13542 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.60332 moveto 0.17262 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.60332 moveto 0.24702 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.60332 moveto 0.28423 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.60332 moveto 0.32143 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.60332 moveto 0.35863 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.60332 moveto 0.43304 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.60332 moveto 0.47024 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.60332 moveto 0.50744 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.60332 moveto 0.54464 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.60332 moveto 0.61905 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.60332 moveto 0.65625 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.60332 moveto 0.69345 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.60332 moveto 0.73065 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.60332 moveto 0.80506 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.60332 moveto 0.84226 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.60332 moveto 0.87946 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.60332 moveto 0.91667 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.60332 moveto 0.99107 0.60707 lineto stroke grestore gsave 0.002 setlinewidth 0 0.60332 moveto 1 0.60332 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.08218 moveto 0.03006 0.08218 lineto stroke grestore [(-80)] 0.01131 0.08218 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.21246 moveto 0.03006 0.21246 lineto stroke grestore [(-60)] 0.01131 0.21246 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.34275 moveto 0.03006 0.34275 lineto stroke grestore [(-40)] 0.01131 0.34275 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.47303 moveto 0.03006 0.47303 lineto stroke grestore [(-20)] 0.01131 0.47303 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.10823 moveto 0.02756 0.10823 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.13429 moveto 0.02756 0.13429 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.16035 moveto 0.02756 0.16035 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1864 moveto 0.02756 0.1864 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23852 moveto 0.02756 0.23852 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.26458 moveto 0.02756 0.26458 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.29063 moveto 0.02756 0.29063 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.31669 moveto 0.02756 0.31669 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3688 moveto 0.02756 0.3688 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.39486 moveto 0.02756 0.39486 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.42092 moveto 0.02756 0.42092 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44698 moveto 0.02756 0.44698 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.49909 moveto 0.02756 0.49909 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.52515 moveto 0.02756 0.52515 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5512 moveto 0.02756 0.5512 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.57726 moveto 0.02756 0.57726 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.05612 moveto 0.02756 0.05612 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.03006 moveto 0.02756 0.03006 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.004 moveto 0.02756 0.004 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.02567 0.22933 Mdot 0.02753 0.22851 Mdot 0.02939 0.22599 Mdot 0.03125 0.22162 Mdot 0.03311 0.21509 Mdot 0.03497 0.2058 Mdot 0.03683 0.19265 Mdot 0.03869 0.17323 Mdot 0.04055 0.14056 Mdot 0.04241 0.04636 Mdot 0.04427 0.11421 Mdot 0.04613 0.16069 Mdot 0.04799 0.18482 Mdot 0.04985 0.20047 Mdot 0.05171 0.21141 Mdot 0.05357 0.21917 Mdot 0.05543 0.22453 Mdot 0.05729 0.22792 Mdot 0.05915 0.22956 Mdot 0.06101 0.22954 Mdot 0.06287 0.22787 Mdot 0.06473 0.22443 Mdot 0.06659 0.21898 Mdot 0.06845 0.2111 Mdot 0.07031 0.19996 Mdot 0.07217 0.1839 Mdot 0.07403 0.15885 Mdot 0.07589 0.10878 Mdot 0.07775 0.06425 Mdot 0.07961 0.14513 Mdot 0.08147 0.17626 Mdot 0.08333 0.19511 Mdot 0.08519 0.20798 Mdot 0.08705 0.2171 Mdot 0.08891 0.22354 Mdot 0.09077 0.22783 Mdot 0.09263 0.23029 Mdot 0.09449 0.23106 Mdot 0.09635 0.23018 Mdot 0.09821 0.2276 Mdot 0.10007 0.22313 Mdot 0.10193 0.21645 Mdot 0.10379 0.20693 Mdot 0.10565 0.19337 Mdot 0.10751 0.17314 Mdot 0.10938 0.13819 Mdot 0.11124 0.01472 Mdot 0.1131 0.12424 Mdot 0.11496 0.16677 Mdot 0.11682 0.18978 Mdot 0.11868 0.20491 Mdot 0.12054 0.21554 Mdot 0.1224 0.22311 Mdot 0.12426 0.22833 Mdot 0.12612 0.23161 Mdot 0.12798 0.23314 Mdot 0.12984 0.23301 Mdot 0.1317 0.23121 Mdot 0.13356 0.22761 Mdot 0.13542 0.22195 Mdot 0.13728 0.21375 Mdot 0.13914 0.2021 Mdot 0.141 0.18513 Mdot 0.14286 0.15799 Mdot 0.14472 0.09885 Mdot 0.14658 0.09192 Mdot 0.14844 0.15621 Mdot 0.1503 0.18469 Mdot 0.15216 0.20246 Mdot 0.15402 0.21472 Mdot 0.15588 0.22346 Mdot 0.15774 0.22961 Mdot 0.1596 0.23368 Mdot 0.16146 0.23593 Mdot 0.16332 0.2365 Mdot 0.16518 0.2354 Mdot 0.16704 0.23255 Mdot 0.1689 0.22774 Mdot 0.17076 0.2206 Mdot 0.17262 0.2104 Mdot 0.17448 0.19572 Mdot 0.17634 0.17323 Mdot 0.1782 0.13152 Mdot 0.18006 0.0155 Mdot 0.18192 0.14475 Mdot 0.18378 0.18037 Mdot 0.18564 0.20107 Mdot 0.1875 0.21503 Mdot 0.18936 0.22493 Mdot 0.19122 0.23197 Mdot 0.19308 0.23677 Mdot 0.19494 0.23968 Mdot 0.1968 0.24085 Mdot 0.19866 0.24036 Mdot 0.20052 0.23813 Mdot 0.20238 0.23402 Mdot 0.20424 0.2277 Mdot 0.2061 0.21856 Mdot 0.20796 0.20546 Mdot 0.20982 0.18583 Mdot 0.21168 0.15211 Mdot 0.21354 0.0434 Mdot 0.2154 0.13362 Mdot 0.21726 0.1779 Mdot 0.21912 0.20157 Mdot 0.22098 0.21711 Mdot 0.22284 0.22805 Mdot 0.2247 0.23586 Mdot 0.22656 0.24129 Mdot 0.22842 0.24474 Mdot 0.23028 0.24641 Mdot 0.23214 0.24638 Mdot 0.234 0.24463 Mdot 0.23586 0.24102 Mdot 0.23772 0.23527 Mdot 0.23958 0.22682 Mdot 0.24144 0.21467 Mdot 0.2433 0.19662 Mdot 0.24516 0.16666 Mdot 0.24702 0.09073 Mdot 0.24888 0.127 Mdot 0.25074 0.17928 Mdot 0.2526 0.20524 Mdot 0.25446 0.22194 Mdot 0.25632 0.23362 Mdot 0.25818 0.24198 Mdot 0.26004 0.24784 Mdot 0.2619 0.25165 Mdot 0.26376 0.25364 Mdot 0.26563 0.2539 Mdot 0.26749 0.25241 Mdot 0.26935 0.24906 Mdot 0.27121 0.24355 Mdot 0.27307 0.23536 Mdot 0.27493 0.22349 Mdot 0.27679 0.20579 Mdot 0.27865 0.17643 Mdot 0.28051 0.10359 Mdot 0.28237 0.1338 Mdot 0.28423 0.18758 Mdot 0.28609 0.21398 Mdot 0.28795 0.23095 Mdot 0.28981 0.24282 Mdot 0.29167 0.25132 Mdot 0.29353 0.25729 Mdot 0.29539 0.26117 Mdot 0.29725 0.26321 Mdot 0.29911 0.26348 Mdot 0.30097 0.26195 Mdot 0.30283 0.25849 Mdot 0.30469 0.25277 Mdot 0.30655 0.2442 Mdot 0.30841 0.23163 Mdot 0.31027 0.21252 Mdot 0.31213 0.17932 Mdot 0.31399 0.07174 Mdot 0.31585 0.1614 Mdot 0.31771 0.20615 Mdot 0.31957 0.23018 Mdot 0.32143 0.24605 Mdot 0.32329 0.25726 Mdot 0.32515 0.26529 Mdot 0.32701 0.27088 Mdot 0.32887 0.27441 Mdot 0.33073 0.27606 Mdot 0.33259 0.27588 Mdot 0.33445 0.27381 Mdot 0.33631 0.2696 Mdot 0.33817 0.26284 Mdot 0.34003 0.25266 Mdot 0.34189 0.23736 Mdot 0.34375 0.21254 Mdot 0.34561 0.16013 Mdot 0.34747 0.13258 Mdot 0.34933 0.20649 Mdot 0.35119 0.23728 Mdot 0.35305 0.25639 Mdot 0.35491 0.26965 Mdot 0.35677 0.27915 Mdot 0.35863 0.28589 Mdot 0.36049 0.29036 Mdot 0.36235 0.29282 Mdot 0.36421 0.29334 Mdot 0.36607 0.29185 Mdot 0.36793 0.28813 Mdot 0.36979 0.28173 Mdot 0.37165 0.27173 Mdot 0.37351 0.25623 Mdot 0.37537 0.23023 Mdot 0.37723 0.17052 Mdot 0.37909 0.17134 Mdot 0.38095 0.23467 Mdot 0.38281 0.26387 Mdot 0.38467 0.28248 Mdot 0.38653 0.29553 Mdot 0.38839 0.30492 Mdot 0.39025 0.31151 Mdot 0.39211 0.31575 Mdot 0.39397 0.3178 Mdot 0.39583 0.31765 Mdot 0.39769 0.31507 Mdot 0.39955 0.30958 Mdot 0.40141 0.30016 Mdot 0.40327 0.2846 Mdot 0.40513 0.25664 Mdot 0.40699 0.17924 Mdot 0.40885 0.22552 Mdot 0.41071 0.27837 Mdot 0.41257 0.30585 Mdot 0.41443 0.32405 Mdot 0.41629 0.33701 Mdot 0.41815 0.34627 Mdot 0.42001 0.35251 Mdot 0.42188 0.35592 Mdot 0.42374 0.3563 Mdot 0.4256 0.353 Mdot 0.42746 0.34443 Mdot 0.42932 0.32639 Mdot 0.43118 0.28143 Mdot 0.43304 0.25647 Mdot 0.4349 0.33893 Mdot 0.43676 0.37688 Mdot 0.43862 0.4032 Mdot 0.44048 0.42389 Mdot 0.44234 0.44116 Mdot 0.4442 0.45609 Mdot 0.44606 0.46929 Mdot 0.44792 0.48113 Mdot 0.44978 0.49187 Mdot 0.45164 0.50169 Mdot 0.4535 0.51072 Mdot 0.45536 0.51905 Mdot 0.45722 0.52677 Mdot 0.45908 0.53394 Mdot 0.46094 0.5406 Mdot 0.4628 0.5468 Mdot 0.46466 0.55258 Mdot 0.46652 0.55795 Mdot 0.46838 0.56295 Mdot 0.47024 0.5676 Mdot 0.4721 0.5719 Mdot 0.47396 0.57589 Mdot 0.47582 0.57957 Mdot 0.47768 0.58296 Mdot 0.47954 0.58606 Mdot 0.4814 0.58888 Mdot 0.48326 0.59144 Mdot 0.48512 0.59373 Mdot 0.48698 0.59577 Mdot 0.48884 0.59755 Mdot 0.4907 0.59909 Mdot 0.49256 0.60039 Mdot 0.49442 0.60145 Mdot 0.49628 0.60227 Mdot 0.49814 0.60285 Mdot 0.5 0.6032 Mdot 0.50186 0.60332 Mdot 0.50372 0.6032 Mdot 0.50558 0.60285 Mdot 0.50744 0.60227 Mdot 0.5093 0.60145 Mdot 0.51116 0.60039 Mdot 0.51302 0.59909 Mdot 0.51488 0.59755 Mdot 0.51674 0.59577 Mdot 0.5186 0.59373 Mdot 0.52046 0.59144 Mdot 0.52232 0.58888 Mdot 0.52418 0.58606 Mdot 0.52604 0.58296 Mdot 0.5279 0.57957 Mdot 0.52976 0.57589 Mdot 0.53162 0.5719 Mdot 0.53348 0.5676 Mdot 0.53534 0.56295 Mdot 0.5372 0.55795 Mdot 0.53906 0.55258 Mdot 0.54092 0.5468 Mdot 0.54278 0.5406 Mdot 0.54464 0.53394 Mdot 0.5465 0.52677 Mdot 0.54836 0.51905 Mdot 0.55022 0.51072 Mdot 0.55208 0.50169 Mdot 0.55394 0.49187 Mdot 0.5558 0.48113 Mdot 0.55766 0.46929 Mdot 0.55952 0.45609 Mdot 0.56138 0.44116 Mdot 0.56324 0.42389 Mdot 0.5651 0.4032 Mdot 0.56696 0.37688 Mdot 0.56882 0.33893 Mdot 0.57068 0.25647 Mdot 0.57254 0.28143 Mdot 0.5744 0.32639 Mdot 0.57626 0.34443 Mdot 0.57813 0.353 Mdot 0.57999 0.3563 Mdot 0.58185 0.35592 Mdot 0.58371 0.35251 Mdot 0.58557 0.34627 Mdot 0.58743 0.33701 Mdot 0.58929 0.32405 Mdot 0.59115 0.30585 Mdot 0.59301 0.27837 Mdot 0.59487 0.22552 Mdot 0.59673 0.17924 Mdot 0.59859 0.25664 Mdot 0.60045 0.2846 Mdot 0.60231 0.30016 Mdot 0.60417 0.30958 Mdot 0.60603 0.31507 Mdot 0.60789 0.31765 Mdot 0.60975 0.3178 Mdot 0.61161 0.31575 Mdot 0.61347 0.31151 Mdot 0.61533 0.30492 Mdot 0.61719 0.29553 Mdot 0.61905 0.28248 Mdot 0.62091 0.26387 Mdot 0.62277 0.23467 Mdot 0.62463 0.17134 Mdot 0.62649 0.17052 Mdot 0.62835 0.23023 Mdot 0.63021 0.25623 Mdot 0.63207 0.27173 Mdot 0.63393 0.28173 Mdot 0.63579 0.28813 Mdot 0.63765 0.29185 Mdot 0.63951 0.29334 Mdot 0.64137 0.29282 Mdot 0.64323 0.29036 Mdot 0.64509 0.28589 Mdot 0.64695 0.27915 Mdot 0.64881 0.26965 Mdot 0.65067 0.25639 Mdot 0.65253 0.23728 Mdot 0.65439 0.20649 Mdot 0.65625 0.13258 Mdot 0.65811 0.16013 Mdot 0.65997 0.21254 Mdot 0.66183 0.23736 Mdot 0.66369 0.25266 Mdot 0.66555 0.26284 Mdot 0.66741 0.2696 Mdot 0.66927 0.27381 Mdot 0.67113 0.27588 Mdot 0.67299 0.27606 Mdot 0.67485 0.27441 Mdot 0.67671 0.27088 Mdot 0.67857 0.26529 Mdot 0.68043 0.25726 Mdot 0.68229 0.24605 Mdot 0.68415 0.23018 Mdot 0.68601 0.20615 Mdot 0.68787 0.1614 Mdot 0.68973 0.07174 Mdot 0.69159 0.17932 Mdot 0.69345 0.21252 Mdot 0.69531 0.23163 Mdot 0.69717 0.2442 Mdot 0.69903 0.25277 Mdot 0.70089 0.25849 Mdot 0.70275 0.26195 Mdot 0.70461 0.26348 Mdot 0.70647 0.26321 Mdot 0.70833 0.26117 Mdot 0.71019 0.25729 Mdot 0.71205 0.25132 Mdot 0.71391 0.24282 Mdot 0.71577 0.23095 Mdot 0.71763 0.21398 Mdot 0.71949 0.18758 Mdot 0.72135 0.1338 Mdot 0.72321 0.10359 Mdot 0.72507 0.17643 Mdot 0.72693 0.20579 Mdot 0.72879 0.22349 Mdot 0.73065 0.23536 Mdot 0.73251 0.24355 Mdot 0.73438 0.24906 Mdot 0.73624 0.25241 Mdot 0.7381 0.2539 Mdot 0.73996 0.25364 Mdot 0.74182 0.25165 Mdot 0.74368 0.24784 Mdot 0.74554 0.24198 Mdot 0.7474 0.23362 Mdot 0.74926 0.22194 Mdot 0.75112 0.20524 Mdot 0.75298 0.17928 Mdot 0.75484 0.127 Mdot 0.7567 0.09073 Mdot 0.75856 0.16666 Mdot 0.76042 0.19662 Mdot 0.76228 0.21467 Mdot 0.76414 0.22682 Mdot 0.766 0.23527 Mdot 0.76786 0.24102 Mdot 0.76972 0.24463 Mdot 0.77158 0.24638 Mdot 0.77344 0.24641 Mdot 0.7753 0.24474 Mdot 0.77716 0.24129 Mdot 0.77902 0.23586 Mdot 0.78088 0.22805 Mdot 0.78274 0.21711 Mdot 0.7846 0.20157 Mdot 0.78646 0.1779 Mdot 0.78832 0.13362 Mdot 0.79018 0.0434 Mdot 0.79204 0.15211 Mdot 0.7939 0.18583 Mdot 0.79576 0.20546 Mdot 0.79762 0.21856 Mdot 0.79948 0.2277 Mdot 0.80134 0.23402 Mdot 0.8032 0.23813 Mdot 0.80506 0.24036 Mdot 0.80692 0.24085 Mdot 0.80878 0.23968 Mdot 0.81064 0.23677 Mdot 0.8125 0.23197 Mdot 0.81436 0.22493 Mdot 0.81622 0.21503 Mdot 0.81808 0.20107 Mdot 0.81994 0.18037 Mdot 0.8218 0.14475 Mdot 0.82366 0.0155 Mdot 0.82552 0.13152 Mdot 0.82738 0.17323 Mdot 0.82924 0.19572 Mdot 0.8311 0.2104 Mdot 0.83296 0.2206 Mdot 0.83482 0.22774 Mdot 0.83668 0.23255 Mdot 0.83854 0.2354 Mdot 0.8404 0.2365 Mdot 0.84226 0.23593 Mdot 0.84412 0.23368 Mdot 0.84598 0.22961 Mdot 0.84784 0.22346 Mdot 0.8497 0.21472 Mdot 0.85156 0.20246 Mdot 0.85342 0.18469 Mdot 0.85528 0.15621 Mdot 0.85714 0.09192 Mdot 0.859 0.09885 Mdot 0.86086 0.15799 Mdot 0.86272 0.18513 Mdot 0.86458 0.2021 Mdot 0.86644 0.21375 Mdot 0.8683 0.22195 Mdot 0.87016 0.22761 Mdot 0.87202 0.23121 Mdot 0.87388 0.23301 Mdot 0.87574 0.23314 Mdot 0.8776 0.23161 Mdot 0.87946 0.22833 Mdot 0.88132 0.22311 Mdot 0.88318 0.21554 Mdot 0.88504 0.20491 Mdot 0.8869 0.18978 Mdot 0.88876 0.16677 Mdot 0.89063 0.12424 Mdot 0.89249 0.01472 Mdot 0.89435 0.13819 Mdot 0.89621 0.17314 Mdot 0.89807 0.19337 Mdot 0.89993 0.20693 Mdot 0.90179 0.21645 Mdot 0.90365 0.22313 Mdot 0.90551 0.2276 Mdot 0.90737 0.23018 Mdot 0.90923 0.23106 Mdot 0.91109 0.23029 Mdot 0.91295 0.22783 Mdot 0.91481 0.22354 Mdot 0.91667 0.2171 Mdot 0.91853 0.20798 Mdot 0.92039 0.19511 Mdot 0.92225 0.17626 Mdot 0.92411 0.14513 Mdot 0.92597 0.06425 Mdot 0.92783 0.10878 Mdot 0.92969 0.15885 Mdot 0.93155 0.1839 Mdot 0.93341 0.19996 Mdot 0.93527 0.2111 Mdot 0.93713 0.21898 Mdot 0.93899 0.22443 Mdot 0.94085 0.22787 Mdot 0.94271 0.22954 Mdot 0.94457 0.22956 Mdot 0.94643 0.22792 Mdot 0.94829 0.22453 Mdot 0.95015 0.21917 Mdot 0.95201 0.21141 Mdot 0.95387 0.20047 Mdot 0.95573 0.18482 Mdot 0.95759 0.16069 Mdot 0.95945 0.11421 Mdot 0.96131 0.04636 Mdot 0.96317 0.14056 Mdot 0.96503 0.17323 Mdot 0.96689 0.19265 Mdot 0.96875 0.2058 Mdot 0.97061 0.21509 Mdot 0.97247 0.22162 Mdot 0.97433 0.22599 Mdot 0.97619 0.22851 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00001D000Co00000_l/00;oU`02ob/00_l;00005@001?l00002oo800_l;0000 5@000ol0003o00<0000E00;oo`0400005@000ol0003o00<0000E0003o`0000/00_oO00;o500001D0 00?o00002`02oc`00_mR00;o?@02oa@0000800;o1002o`D000?o0000B@02of800_mC00001`001?l0 0?l20004o`00o`@000?o0000o`0300001`001?l00?l20004o`00o`@000?o0000o`03000000<0ool0 0_l300;o0`001?l00?l400;oo`0400001`001?l00?l20004o`00o`@000?o0000o`0300001`001?l0 0?l20004o`00o`@000?o00007@02oaT00_n500;o6@02obH0000800;o1002o`D000?o00007@02oaT0 0_n500;o6@02obH0000E0003o`0001`00_nl00;o9P0001D000?o00007002ob800_md00;o8P02obH0 000E0003o`0000X00_ld00;oM002oc@00_lD00005@02o`/00_oP00;o500001D000?o00000P02oo40 0_l;00005@000ol0000200;ol@02o`/0000E0003o`0001@00_o=00;o7@0001D000?o00005002ob80 0_n500;o8P02oad0000E0003o`0002D00_lA00;oQ@02oa000_l_00005@000ol0000U00;o2002oa00 0_l?00;oD002oa000_l?00;o2002obl0000E00;o5002oaX00_l@00;o3`02oe000_l@00;o3`02oa/0 0_lL00005@001?l00002oa000_o?00;o4002o`X0000E0004o`0000;o2002oaT00_nX00;o6P02o`P0 0_l:00005@000ol0000;00;o6@02ojP00_lJ00;o500001D000?o0000;P02oiP00_lh00005@000ol0 000L00?o3`02oiP00_l?00Co9@0001D00_l300;o1P02oa000ol[00;o1P02oe400_l600;o:P04oa00 0_l500;o300001D000?o00000P02o`H00_ln00;o1P02oe400_l600;o?P02o`D00_l<00005@000ol0 000D00;o8@02ohH00_lQ00;o7P0001D000?o00000_l@00Co3`02oa000_lQ00?o?`02ob400_lA00;o 3P04oa000_l:00005@000ol00002o`X00_l400;o4@02oaT00_lH00?o?`02oaT00_lI00;o4002o`D0 0_l900;o2P0001D000?o00003002oaT00_l700;o1`02o`D00_l700;o5`02oc000_lH00;o1`02o`D0 0_l700;o1`02oaT00_lE00005@000ol0000900;o7002o`L00_l700;o3P02oaL00_l`00;o6002o`h0 0_l700;o1`02oa/00_lC00005@02o`@00_l400;o4002o`030?oo00h00_lA00;oLP02oa800_l>00Co 4002o`D00_l<00005@000ol0000300;o4002o`@00_l00`3oo`0>00;o4@02og800_lB00;o3P04o`D0 0_l@00;o300001D000?o00000_l:00;o1002o`030?oo00d00_n/00;o3P02o`030?oo00@00_l:00;o 2@0001D000?o00000_l:00;o1002oa000_lA00;oQ`02oa000_lA00;o1002o`X00_l900005@000ol0 000300;o1002oa000_l00`3oo`0700;o1`02o`D00_n700;o1002o`L00_l700;o0P02oa000_l300;o 3@0000P00_l400;o1@001?l0ool200;o1002o`H00_l200;o1002o`030?oo00L00_l400;o00<0ool0 1`02o`@00_l900;o1`02odl00_l600;o2@02o`D00_l600;o00<0ool01002o`L00_l200;o0`02o`80 0_l700;o0`02o`800_l900001`001?l00?l20004o`00o`@000Co0?oo3002o`800_l200;o3@02o`L0 0_l:00;o1002o`T00_l700;oC`02o`H00_l900;o1@02o`T00_l800;o3002o`800_l300;o2`02o`T0 00070004o`00o`8000Co003o1002o`D00_l200;o0`02o`/00_l300;o0`02oa000_l:00;o1002o`L0 0_mB00;o1`02o`D00_l900;o4@02o`<00_l200;o3002o`800_l300;o3@0000030?oo00;o0P03o`<0 00Co003o10001?l0ool300;o0P02o`<00_l200;o0`02o`800_l300;o1`02o`L00_l300;o2P02o`@0 0_l700;oDP02o`L00_l500;o2@02o`@00_l700;o1`02o`800_l300;o0`02o`800_l200;o0`02o`<0 0_l800001`000ol000030004o`00o`@01?l300;o0P02o`<00_l200;o0`02o`800_l700;o0`02o`<0 0_l200;o1`02oh400_l700;o0P02o`<00_l200;o2002o`800_l300;o0P02o`<00_l00`3oo`0400;o 200000P000?o00000P001?l00?l400?o1006o`@01?l400;o0P02o`<00_l200;o0`02o`<00_l;00;o 0`02ob800_l_00;o8P02o`<00_l;00;o0P02o`<00_l200;o1002o`030?oo00@00_l00`3oo`0400;o 00<0ool01003o`L0000900;o0`02o`D00ol500Co1@04o`@01Ol400?o00<0ool00`02o`800_l300;o 0`02o`L00_lR00;o;`02ob800_l700;o0P02o`<00_l200;o1002o`030?oo00@00_l00`3oo`0400Go 1005o`D00_l700005@02o`H01?l500Co1@04o`D01Ol400;o00<0ool00`02o`<00_l:00;o1002o`03 0?oo00d00_m100;o3@02o`030?oo00<00_l;00;o0P02o`<00_l200;o1002o`030?oo00@01Ol500Co 1@03o`H00_l700005@000ol0000>00?o1P04o`D01?l500;o00<0ool01002o`030?oo00<00_l200;o 0P02o`@00_l00`3oo`0600;o1@03och01?l400;o1`02o`030?oo00<00_l200;o0`02o`800_l200;o 1005o`@01?l600?o1P03oaP0000E00;o8@04o`D01Ol400;o00<0ool00`02o`800_lA00Co1P02och0 0_l600;o00<0ool04002o`<00_l200?o00<0ool01004o`H00olZ00005@000ol0000Z00?o1@05o`<0 0_l200;o0`02o`800_l800;oD`02o`L00_l300;o0`02o`030?oo00@01?l500Co<`0001D000?o0000 `04o`@00_l200;o 1`02oe@00_l800;o00<0ool01004odD0000E0003o`0003`00ol500Go0`02o`800_l200;o0`02o`L0 0_l500;o8`02o`D00_l600;o1002o`030?oo00<00_l300;o00<0ool01@03odD0000E0003o`0004@0 1?l400;o0P02o`800_l300;o1`02o`D00_lS00;o1@02o`H00_l400;o0P02o`800_l300GoC@0001D0 0_m500Co1002o`800_l:00;o?@02o`X00_l00`3oo`0500?oCP0001D000?o0000C005o`<00_l600;o ?@02o`D00_l300;o00<0ool0EP0001D000?o0000C@04o`<00_l300;o@`02o`800_l300GoEP0001D0 00?o0000C@04o`P00_l800;o;P02o`T00_l800?oE`0001D000?o0000CP02o`D00_l00`3oo`0900;o 0`02ob@00_l300;o2@02o`800_l400?oE`0001D000?o0000E@02o`030?oo00800_l300;o1@02ob@0 0_l500;o0`02o`800_l0103ooomN00005@000ol0001E00;o00<0ool00P02o`<00_lb00;o0`02o`<0 1?mO00005@02oeL01?m500CoG`0001D000?o0000EP03o`@00_lk00;o0`04oel0000E0003o`0005d0 0_l200;o<`02o`800_mV00005@000ol0001M00;o0P02oc<00_l00`3oo`1W00005@000ol0001M00;o 1@02obd00_l400;oI`0001D000?o0000GP04o`800_l]00;o00@0ool00_mW00005@000ol0001N00Co =005ofL0000E00;oG`04ocD00omX00005@000ol0001O00;o=P03ofP0000E0003o`0006@00_l200;o 9@02o`800_m]00005@000ol0001T00;o0P02obD00_l200;oK@0000T000?o00000P02o`D000?o0000 o`0300002@001Ol0003o008000?o00000P000ol0001U00;o:`02ofh0000600Go0P001?l00?l40003 o`0006D00_l200;o8P02o`<00_m^000000<0ool00_l01@3o003o00<000Co003o1002ofH01_lR00Co 00<0ool0KP0000L000?o0?l00`001?l00?l40003o`0006D01?lV00;o00<0ool0KP0000P00_l30004 o`00o`@000?o0000IP03obL00om_00002@000ol0000200;o1@000ol0001V00?o9`03ofl0000E0003 o`0006H00olW00?oK`0001D000?o0000o`0300005@000ol0003o00<0000E00;oo`0400005@000ol0 003o00<0000E0003o`0006X00_lQ00;oL`0001D000?o0000JP02ob400_mc00005@000ol0003o00<0 000E0003o`000?l00`0001D000?o0000o`0300005@02ool0100001D000?o0000o`0300005@000ol0 001Z00;o8002og@0000E0003o`0006X00_lP00;oM00001D000?o0000o`0300005@000ol0003o00<0 000E0003o`000?l00`0001D00_m/00;o7`02og@0000E0003o`0006/00_lO00;oM00001D000?o0000 o`0300005@000ol0003o00<0000E0003o`000?l00`0001D000?o0000J`02oah00_me00005@000ol0 001[00;o7P02ogD0000E00;oo`0400005@000ol0003o00<0000E0003o`0006`00_lM00;oM@0001D0 00?o0000K002oad00_me00001`04o`<00_l50003o`000?l00`0000L000Co003o0P001?l00?l40003 o`0006`00_lL00;oMP0000P000?o00000P001?l00?l40003o`0006`00_lL00;oMP0000030?oo00;o 10001Ol0003o008000?o00000P02ool0100000X000Co003o0P000ol000020003o`0006d00_lK00;o MP0000L000Co003o0P001?l00?l40003o`0006d00_lK00;oMP0000P00_l400;o1@000ol0003o00<0 000E0003o`0006d00_lJ00;oM`0001D000?o0000K@02oaX00_mg00005@000ol0003o00<0000E00;o K`02oaT00_mg00005@000ol0001^00;o6@02ogL0000E0003o`0006h00_lH00;oN00001D000?o0000 KP02oaP00_mh00005@000ol0001_00;o5`02ogP0000E0003o`0006l00_lG00;oN00001D00_m`00;o 5P02ogT0000E0003o`0006l00_lF00;oN@0001D000?o0000L002oaD00_mi00005@000ol0001`00;o 5@02ogT0000E0003o`0007000_lD00;oNP0001D000?o0000L002oa@00_mj00005@000ol0001a00;o 4`02ogX0000E00;oLP02oa800omj00005@000ol0000V00Go0P02o`@00_lS00Co0`02o`@00_l:00;o 4P02o`<00_l400;o1002obD000?o00000P02o`@00_lR00?o1002o`@00_l700005@000ol0000X0005 o`000?l00P001?l00?l20003o`00020000Co003o0P001?l00?l20004o`00o`X00_lA00;o0P001?l0 0?l20004o`00o`8000Co003o90001Ol0003o008000Co003o0P000ol0000R0004o`00o`8000Co003o 0P000ol0000400005@000ol0000X0005o`000?l00P001?l00?l20003o`00024000?o00000P001?l0 0?l20004o`00o`X00_l@00?o1@001?l00?l20004o`00o`8000?o00007`05o`8000Co003o0P001?l0 0?lT0004o`00o`8000Co003o0P000ol0000400005@000ol0000X0005o`000?l00P001?l00?l20003 o`00028000Go0000o`020004o`00o`8000?o00002003o`l00_l400;o0`001?l00?l20004o`00ob40 00Co003o0`001?l00?l20004o`00ob400ol30004o`00o`8000Co003o1P0001D000?o0000:0001Ol0 003o008000Co003o0P000ol0000S0004o`00o`8000Co003o0P000ol0000900;o3P03o`H000Co003o 0P001?l00?l20003o`00020000?o0?l00`001?l00?l20004o`00ob4000?o00000`001?l00?l20004 o`00o`H0000E0003o`0002H00ol30004o`00o`8000Co003o8P001?l00?l20004o`00o`8000Co003o 2`03o`d00_l40004o`00o`8000Co003o0P001?l00?lS00;o0`001?l00?l20004o`00ob4000?o0000 0`001?l00?l20004o`00o`H0000E00;o:@000ol0000200;o1002ob@00_l400;o1002o`d00_l<00?o 1@02o`@00_l400;o9@000ol0000200;o1002ob801?l300;o1002o`L0000E0003o`0007@00ol;00;o OP0001D000?o0000M@02o`X00omn00005@000ol0001e00?o2@02ogl0000E0003o`0007H00ol700?o O`0001D000?o0000MP04o`D00on000005@000ol0001g00Co0P04oh40000>0?oo3?l100005@000ol0 00070003o`0000L000?o00001P000ol000070003o`0000L000?o00001`000ol000070003o`0000L0 00?o00001`000ol000070003o`0000L000?o00001P000ol0000400Go20000ol000070003o`0000L0 00?o00001`000ol000070003o`0000L000?o00001`000ol000060003o`0000L000?o00001`000ol0 00070003o`0000L000?o00001`000ol0000100005@000ol0000^0003o`0002l000?o0000;P000ol0 000_0003o`0002h000?o00002`0001D000?o0000o`0300005@000ol0003o00<0003o01/0003o01/0 003o01/0003o01/00000\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-43.0053, -95.1391, 2.0227, 0.57756}}]}, Open]], Cell[TextData["Compare theoretical transform to measured transform:"], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Show[pWhtdb, pWdbro];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.603319 0.005625 [ [(100)] 0.20982 0.60332 0 2 Msboxa [(200)] 0.39583 0.60332 0 2 Msboxa [(300)] 0.58185 0.60332 0 2 Msboxa [(400)] 0.76786 0.60332 0 2 Msboxa [(500)] 0.95387 0.60332 0 2 Msboxa [(-100)] 0.01131 0.04079 1 0 Msboxa [(-80)] 0.01131 0.1533 1 0 Msboxa [(-60)] 0.01131 0.2658 1 0 Msboxa [(-40)] 0.01131 0.37831 1 0 Msboxa [(-20)] 0.01131 0.49081 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.60332 moveto 0.20982 0.60957 lineto stroke grestore [(100)] 0.20982 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.60332 moveto 0.39583 0.60957 lineto stroke grestore [(200)] 0.39583 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.60332 moveto 0.58185 0.60957 lineto stroke grestore [(300)] 0.58185 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.60332 moveto 0.76786 0.60957 lineto stroke grestore [(400)] 0.76786 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.60332 moveto 0.95387 0.60957 lineto stroke grestore [(500)] 0.95387 0.60332 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.60332 moveto 0.06101 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.60332 moveto 0.09821 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.60332 moveto 0.13542 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.60332 moveto 0.17262 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.60332 moveto 0.24702 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.60332 moveto 0.28423 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.60332 moveto 0.32143 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.60332 moveto 0.35863 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.60332 moveto 0.43304 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.60332 moveto 0.47024 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.60332 moveto 0.50744 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.60332 moveto 0.54464 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.60332 moveto 0.61905 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.60332 moveto 0.65625 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.60332 moveto 0.69345 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.60332 moveto 0.73065 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.60332 moveto 0.80506 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.60332 moveto 0.84226 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.60332 moveto 0.87946 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.60332 moveto 0.91667 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.60332 moveto 0.99107 0.60707 lineto stroke grestore gsave 0.002 setlinewidth 0 0.60332 moveto 1 0.60332 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.04079 moveto 0.03006 0.04079 lineto stroke grestore [(-100)] 0.01131 0.04079 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.1533 moveto 0.03006 0.1533 lineto stroke grestore [(-80)] 0.01131 0.1533 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.2658 moveto 0.03006 0.2658 lineto stroke grestore [(-60)] 0.01131 0.2658 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.37831 moveto 0.03006 0.37831 lineto stroke grestore [(-40)] 0.01131 0.37831 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.49081 moveto 0.03006 0.49081 lineto stroke grestore [(-20)] 0.01131 0.49081 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.06329 moveto 0.02756 0.06329 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.08579 moveto 0.02756 0.08579 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.10829 moveto 0.02756 0.10829 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.13079 moveto 0.02756 0.13079 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1758 moveto 0.02756 0.1758 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1983 moveto 0.02756 0.1983 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2208 moveto 0.02756 0.2208 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2433 moveto 0.02756 0.2433 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2883 moveto 0.02756 0.2883 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3108 moveto 0.02756 0.3108 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3333 moveto 0.02756 0.3333 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.35581 moveto 0.02756 0.35581 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.40081 moveto 0.02756 0.40081 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.42331 moveto 0.02756 0.42331 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44581 moveto 0.02756 0.44581 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.46831 moveto 0.02756 0.46831 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.51331 moveto 0.02756 0.51331 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53582 moveto 0.02756 0.53582 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.55832 moveto 0.02756 0.55832 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58082 moveto 0.02756 0.58082 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.01829 moveto 0.02756 0.01829 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave gsave gsave 0.008 setlinewidth 0.02567 0.2866 Mdot 0.02753 0.28353 Mdot 0.02939 0.27876 Mdot 0.03125 0.27188 Mdot 0.03311 0.26216 Mdot 0.03497 0.24812 Mdot 0.03683 0.22605 Mdot 0.03869 0.18083 Mdot 0.04055 0.15279 Mdot 0.04241 0.21764 Mdot 0.04427 0.24393 Mdot 0.04613 0.26009 Mdot 0.04799 0.27122 Mdot 0.04985 0.27921 Mdot 0.05171 0.28492 Mdot 0.05357 0.28884 Mdot 0.05543 0.29121 Mdot 0.05729 0.29217 Mdot 0.05915 0.29176 Mdot 0.06101 0.28995 Mdot 0.06287 0.28661 Mdot 0.06473 0.2815 Mdot 0.06659 0.27417 Mdot 0.06845 0.26381 Mdot 0.07031 0.24867 Mdot 0.07217 0.22418 Mdot 0.07403 0.16779 Mdot 0.07589 0.17745 Mdot 0.07775 0.22791 Mdot 0.07961 0.25154 Mdot 0.08147 0.26653 Mdot 0.08333 0.27698 Mdot 0.08519 0.2845 Mdot 0.08705 0.28985 Mdot 0.08891 0.29347 Mdot 0.09077 0.29557 Mdot 0.09263 0.29628 Mdot 0.09449 0.2956 Mdot 0.09635 0.29351 Mdot 0.09821 0.28984 Mdot 0.10007 0.28433 Mdot 0.10193 0.27646 Mdot 0.10379 0.26529 Mdot 0.10565 0.24872 Mdot 0.10751 0.22078 Mdot 0.10938 0.14034 Mdot 0.11124 0.19803 Mdot 0.1131 0.23856 Mdot 0.11496 0.25969 Mdot 0.11682 0.2735 Mdot 0.11868 0.28323 Mdot 0.12054 0.29025 Mdot 0.1224 0.29521 Mdot 0.12426 0.29849 Mdot 0.12612 0.30029 Mdot 0.12798 0.3007 Mdot 0.12984 0.29972 Mdot 0.1317 0.29728 Mdot 0.13356 0.29322 Mdot 0.13542 0.28721 Mdot 0.13728 0.27866 Mdot 0.13914 0.26643 Mdot 0.141 0.2479 Mdot 0.14286 0.21457 Mdot 0.14472 0.01472 Mdot 0.14658 0.21668 Mdot 0.14844 0.24972 Mdot 0.1503 0.2685 Mdot 0.15216 0.28111 Mdot 0.15402 0.29008 Mdot 0.15588 0.29655 Mdot 0.15774 0.30107 Mdot 0.1596 0.30397 Mdot 0.16146 0.30542 Mdot 0.16332 0.30547 Mdot 0.16518 0.30413 Mdot 0.16704 0.30128 Mdot 0.1689 0.29673 Mdot 0.17076 0.29008 Mdot 0.17262 0.28063 Mdot 0.17448 0.26695 Mdot 0.17634 0.2455 Mdot 0.1782 0.20237 Mdot 0.18006 0.16472 Mdot 0.18192 0.2345 Mdot 0.18378 0.2616 Mdot 0.18564 0.27813 Mdot 0.1875 0.2895 Mdot 0.18936 0.29766 Mdot 0.19122 0.30352 Mdot 0.19308 0.30754 Mdot 0.19494 0.31 Mdot 0.1968 0.31102 Mdot 0.19866 0.31065 Mdot 0.20052 0.30885 Mdot 0.20238 0.30548 Mdot 0.20424 0.30029 Mdot 0.2061 0.29279 Mdot 0.20796 0.28209 Mdot 0.20982 0.26626 Mdot 0.21168 0.23994 Mdot 0.21354 0.1718 Mdot 0.2154 0.20813 Mdot 0.21726 0.25226 Mdot 0.21912 0.27443 Mdot 0.22098 0.28878 Mdot 0.22284 0.29886 Mdot 0.2247 0.30613 Mdot 0.22656 0.3113 Mdot 0.22842 0.31474 Mdot 0.23028 0.31667 Mdot 0.23214 0.31717 Mdot 0.234 0.31627 Mdot 0.23586 0.31387 Mdot 0.23772 0.3098 Mdot 0.23958 0.30372 Mdot 0.24144 0.295 Mdot 0.2433 0.2824 Mdot 0.24516 0.26298 Mdot 0.24702 0.22667 Mdot 0.24888 0.13369 Mdot 0.25074 0.23995 Mdot 0.2526 0.27057 Mdot 0.25446 0.28853 Mdot 0.25632 0.30073 Mdot 0.25818 0.30945 Mdot 0.26004 0.31572 Mdot 0.2619 0.32009 Mdot 0.26376 0.32282 Mdot 0.26563 0.32409 Mdot 0.26749 0.32392 Mdot 0.26935 0.3223 Mdot 0.27121 0.31908 Mdot 0.27307 0.31401 Mdot 0.27493 0.3066 Mdot 0.27679 0.29592 Mdot 0.27865 0.28 Mdot 0.28051 0.25323 Mdot 0.28237 0.1808 Mdot 0.28423 0.22551 Mdot 0.28609 0.26824 Mdot 0.28795 0.29011 Mdot 0.28981 0.30434 Mdot 0.29167 0.31438 Mdot 0.29353 0.32161 Mdot 0.29539 0.32673 Mdot 0.29725 0.33012 Mdot 0.29911 0.33196 Mdot 0.30097 0.33234 Mdot 0.30283 0.33124 Mdot 0.30469 0.32857 Mdot 0.30655 0.3241 Mdot 0.30841 0.3174 Mdot 0.31027 0.30767 Mdot 0.31213 0.29326 Mdot 0.31399 0.26982 Mdot 0.31585 0.21704 Mdot 0.31771 0.21805 Mdot 0.31957 0.27166 Mdot 0.32143 0.29617 Mdot 0.32329 0.31167 Mdot 0.32515 0.32249 Mdot 0.32701 0.33027 Mdot 0.32887 0.33581 Mdot 0.33073 0.33952 Mdot 0.33259 0.34163 Mdot 0.33445 0.34221 Mdot 0.33631 0.34128 Mdot 0.33817 0.33871 Mdot 0.34003 0.33426 Mdot 0.34189 0.32749 Mdot 0.34375 0.31752 Mdot 0.34561 0.30249 Mdot 0.34747 0.27731 Mdot 0.34933 0.21398 Mdot 0.35119 0.24183 Mdot 0.35305 0.28818 Mdot 0.35491 0.31113 Mdot 0.35677 0.32596 Mdot 0.35863 0.33637 Mdot 0.36049 0.34385 Mdot 0.36235 0.34912 Mdot 0.36421 0.35254 Mdot 0.36607 0.3543 Mdot 0.36793 0.35445 Mdot 0.36979 0.35292 Mdot 0.37165 0.34954 Mdot 0.37351 0.34391 Mdot 0.37537 0.3353 Mdot 0.37723 0.32219 Mdot 0.37909 0.30071 Mdot 0.38095 0.25452 Mdot 0.38281 0.2356 Mdot 0.38467 0.2975 Mdot 0.38653 0.32388 Mdot 0.38839 0.34034 Mdot 0.39025 0.35175 Mdot 0.39211 0.3599 Mdot 0.39397 0.3656 Mdot 0.39583 0.36925 Mdot 0.39769 0.37103 Mdot 0.39955 0.37094 Mdot 0.40141 0.36882 Mdot 0.40327 0.36431 Mdot 0.40513 0.35666 Mdot 0.40699 0.34426 Mdot 0.40885 0.32294 Mdot 0.41071 0.27381 Mdot 0.41257 0.26972 Mdot 0.41443 0.32685 Mdot 0.41629 0.35288 Mdot 0.41815 0.36941 Mdot 0.42001 0.38088 Mdot 0.42188 0.38889 Mdot 0.42374 0.39409 Mdot 0.4256 0.39666 Mdot 0.42746 0.3964 Mdot 0.42932 0.39261 Mdot 0.43118 0.38352 Mdot 0.43304 0.3641 Mdot 0.4349 0.30582 Mdot 0.43676 0.34118 Mdot 0.43862 0.39307 Mdot 0.44048 0.42196 Mdot 0.44234 0.44294 Mdot 0.4442 0.45975 Mdot 0.44606 0.47393 Mdot 0.44792 0.48625 Mdot 0.44978 0.49717 Mdot 0.45164 0.50698 Mdot 0.4535 0.51588 Mdot 0.45536 0.52401 Mdot 0.45722 0.53148 Mdot 0.45908 0.53836 Mdot 0.46094 0.54472 Mdot 0.4628 0.55062 Mdot 0.46466 0.55608 Mdot 0.46652 0.56114 Mdot 0.46838 0.56584 Mdot 0.47024 0.57019 Mdot 0.4721 0.57422 Mdot 0.47396 0.57793 Mdot 0.47582 0.58136 Mdot 0.47768 0.5845 Mdot 0.47954 0.58738 Mdot 0.4814 0.58999 Mdot 0.48326 0.59236 Mdot 0.48512 0.59448 Mdot 0.48698 0.59636 Mdot 0.48884 0.59801 Mdot 0.4907 0.59943 Mdot 0.49256 0.60062 Mdot 0.49442 0.6016 Mdot 0.49628 0.60235 Mdot 0.49814 0.60289 Mdot 0.5 0.60321 Mdot 0.50186 0.60332 Mdot 0.50372 0.60321 Mdot 0.50558 0.60289 Mdot 0.50744 0.60235 Mdot 0.5093 0.6016 Mdot 0.51116 0.60062 Mdot 0.51302 0.59943 Mdot 0.51488 0.59801 Mdot 0.51674 0.59636 Mdot 0.5186 0.59448 Mdot 0.52046 0.59236 Mdot 0.52232 0.58999 Mdot 0.52418 0.58738 Mdot 0.52604 0.5845 Mdot 0.5279 0.58136 Mdot 0.52976 0.57793 Mdot 0.53162 0.57422 Mdot 0.53348 0.57019 Mdot 0.53534 0.56584 Mdot 0.5372 0.56114 Mdot 0.53906 0.55608 Mdot 0.54092 0.55062 Mdot 0.54278 0.54472 Mdot 0.54464 0.53836 Mdot 0.5465 0.53148 Mdot 0.54836 0.52401 Mdot 0.55022 0.51588 Mdot 0.55208 0.50698 Mdot 0.55394 0.49717 Mdot 0.5558 0.48625 Mdot 0.55766 0.47393 Mdot 0.55952 0.45975 Mdot 0.56138 0.44294 Mdot 0.56324 0.42196 Mdot 0.5651 0.39307 Mdot 0.56696 0.34118 Mdot 0.56882 0.30582 Mdot 0.57068 0.3641 Mdot 0.57254 0.38352 Mdot 0.5744 0.39261 Mdot 0.57626 0.3964 Mdot 0.57813 0.39666 Mdot 0.57999 0.39409 Mdot 0.58185 0.38889 Mdot 0.58371 0.38088 Mdot 0.58557 0.36941 Mdot 0.58743 0.35288 Mdot 0.58929 0.32685 Mdot 0.59115 0.26972 Mdot 0.59301 0.27381 Mdot 0.59487 0.32294 Mdot 0.59673 0.34426 Mdot 0.59859 0.35666 Mdot 0.60045 0.36431 Mdot 0.60231 0.36882 Mdot 0.60417 0.37094 Mdot 0.60603 0.37103 Mdot 0.60789 0.36925 Mdot 0.60975 0.3656 Mdot 0.61161 0.3599 Mdot 0.61347 0.35175 Mdot 0.61533 0.34034 Mdot 0.61719 0.32388 Mdot 0.61905 0.2975 Mdot 0.62091 0.2356 Mdot 0.62277 0.25452 Mdot 0.62463 0.30071 Mdot 0.62649 0.32219 Mdot 0.62835 0.3353 Mdot 0.63021 0.34391 Mdot 0.63207 0.34954 Mdot 0.63393 0.35292 Mdot 0.63579 0.35445 Mdot 0.63765 0.3543 Mdot 0.63951 0.35254 Mdot 0.64137 0.34912 Mdot 0.64323 0.34385 Mdot 0.64509 0.33637 Mdot 0.64695 0.32596 Mdot 0.64881 0.31113 Mdot 0.65067 0.28818 Mdot 0.65253 0.24183 Mdot 0.65439 0.21398 Mdot 0.65625 0.27731 Mdot 0.65811 0.30249 Mdot 0.65997 0.31752 Mdot 0.66183 0.32749 Mdot 0.66369 0.33426 Mdot 0.66555 0.33871 Mdot 0.66741 0.34128 Mdot 0.66927 0.34221 Mdot 0.67113 0.34163 Mdot 0.67299 0.33952 Mdot 0.67485 0.33581 Mdot 0.67671 0.33027 Mdot 0.67857 0.32249 Mdot 0.68043 0.31167 Mdot 0.68229 0.29617 Mdot 0.68415 0.27166 Mdot 0.68601 0.21805 Mdot 0.68787 0.21704 Mdot 0.68973 0.26982 Mdot 0.69159 0.29326 Mdot 0.69345 0.30767 Mdot 0.69531 0.3174 Mdot 0.69717 0.3241 Mdot 0.69903 0.32857 Mdot 0.70089 0.33124 Mdot 0.70275 0.33234 Mdot 0.70461 0.33196 Mdot 0.70647 0.33012 Mdot 0.70833 0.32673 Mdot 0.71019 0.32161 Mdot 0.71205 0.31438 Mdot 0.71391 0.30434 Mdot 0.71577 0.29011 Mdot 0.71763 0.26824 Mdot 0.71949 0.22551 Mdot 0.72135 0.1808 Mdot 0.72321 0.25323 Mdot 0.72507 0.28 Mdot 0.72693 0.29592 Mdot 0.72879 0.3066 Mdot 0.73065 0.31401 Mdot 0.73251 0.31908 Mdot 0.73438 0.3223 Mdot 0.73624 0.32392 Mdot 0.7381 0.32409 Mdot 0.73996 0.32282 Mdot 0.74182 0.32009 Mdot 0.74368 0.31572 Mdot 0.74554 0.30945 Mdot 0.7474 0.30073 Mdot 0.74926 0.28853 Mdot 0.75112 0.27057 Mdot 0.75298 0.23995 Mdot 0.75484 0.13369 Mdot 0.7567 0.22667 Mdot 0.75856 0.26298 Mdot 0.76042 0.2824 Mdot 0.76228 0.295 Mdot 0.76414 0.30372 Mdot 0.766 0.3098 Mdot 0.76786 0.31387 Mdot 0.76972 0.31627 Mdot 0.77158 0.31717 Mdot 0.77344 0.31667 Mdot 0.7753 0.31474 Mdot 0.77716 0.3113 Mdot 0.77902 0.30613 Mdot 0.78088 0.29886 Mdot 0.78274 0.28878 Mdot 0.7846 0.27443 Mdot 0.78646 0.25226 Mdot 0.78832 0.20813 Mdot 0.79018 0.1718 Mdot 0.79204 0.23994 Mdot 0.7939 0.26626 Mdot 0.79576 0.28209 Mdot 0.79762 0.29279 Mdot 0.79948 0.30029 Mdot 0.80134 0.30548 Mdot 0.8032 0.30885 Mdot 0.80506 0.31065 Mdot 0.80692 0.31102 Mdot 0.80878 0.31 Mdot 0.81064 0.30754 Mdot 0.8125 0.30352 Mdot 0.81436 0.29766 Mdot 0.81622 0.2895 Mdot 0.81808 0.27813 Mdot 0.81994 0.2616 Mdot 0.8218 0.2345 Mdot 0.82366 0.16472 Mdot 0.82552 0.20237 Mdot 0.82738 0.2455 Mdot 0.82924 0.26695 Mdot 0.8311 0.28063 Mdot 0.83296 0.29008 Mdot 0.83482 0.29673 Mdot 0.83668 0.30128 Mdot 0.83854 0.30413 Mdot 0.8404 0.30547 Mdot 0.84226 0.30542 Mdot 0.84412 0.30397 Mdot 0.84598 0.30107 Mdot 0.84784 0.29655 Mdot 0.8497 0.29008 Mdot 0.85156 0.28111 Mdot 0.85342 0.2685 Mdot 0.85528 0.24972 Mdot 0.85714 0.21668 Mdot 0.859 0.01472 Mdot 0.86086 0.21457 Mdot 0.86272 0.2479 Mdot 0.86458 0.26643 Mdot 0.86644 0.27866 Mdot 0.8683 0.28721 Mdot 0.87016 0.29322 Mdot 0.87202 0.29728 Mdot 0.87388 0.29972 Mdot 0.87574 0.3007 Mdot 0.8776 0.30029 Mdot 0.87946 0.29849 Mdot 0.88132 0.29521 Mdot 0.88318 0.29025 Mdot 0.88504 0.28323 Mdot 0.8869 0.2735 Mdot 0.88876 0.25969 Mdot 0.89063 0.23856 Mdot 0.89249 0.19803 Mdot 0.89435 0.14034 Mdot 0.89621 0.22078 Mdot 0.89807 0.24872 Mdot 0.89993 0.26529 Mdot 0.90179 0.27646 Mdot 0.90365 0.28433 Mdot 0.90551 0.28984 Mdot 0.90737 0.29351 Mdot 0.90923 0.2956 Mdot 0.91109 0.29628 Mdot 0.91295 0.29557 Mdot 0.91481 0.29347 Mdot 0.91667 0.28985 Mdot 0.91853 0.2845 Mdot 0.92039 0.27698 Mdot 0.92225 0.26653 Mdot 0.92411 0.25154 Mdot 0.92597 0.22791 Mdot 0.92783 0.17745 Mdot 0.92969 0.16779 Mdot 0.93155 0.22418 Mdot 0.93341 0.24867 Mdot 0.93527 0.26381 Mdot 0.93713 0.27417 Mdot 0.93899 0.2815 Mdot 0.94085 0.28661 Mdot 0.94271 0.28995 Mdot 0.94457 0.29176 Mdot 0.94643 0.29217 Mdot 0.94829 0.29121 Mdot 0.95015 0.28884 Mdot 0.95201 0.28492 Mdot 0.95387 0.27921 Mdot 0.95573 0.27122 Mdot 0.95759 0.26009 Mdot 0.95945 0.24393 Mdot 0.96131 0.21764 Mdot 0.96317 0.15279 Mdot 0.96503 0.18083 Mdot 0.96689 0.22605 Mdot 0.96875 0.24812 Mdot 0.97061 0.26216 Mdot 0.97247 0.27188 Mdot 0.97433 0.27876 Mdot 0.97619 0.28353 Mdot grestore grestore gsave gsave 0.008 setlinewidth 0.02567 0.28037 Mdot 0.02753 0.27966 Mdot 0.02939 0.27749 Mdot 0.03125 0.27371 Mdot 0.03311 0.26807 Mdot 0.03497 0.26005 Mdot 0.03683 0.24869 Mdot 0.03869 0.23192 Mdot 0.04055 0.20371 Mdot 0.04241 0.12237 Mdot 0.04427 0.18095 Mdot 0.04613 0.22109 Mdot 0.04799 0.24193 Mdot 0.04985 0.25545 Mdot 0.05171 0.26489 Mdot 0.05357 0.27159 Mdot 0.05543 0.27623 Mdot 0.05729 0.27915 Mdot 0.05915 0.28057 Mdot 0.06101 0.28055 Mdot 0.06287 0.27911 Mdot 0.06473 0.27613 Mdot 0.06659 0.27143 Mdot 0.06845 0.26462 Mdot 0.07031 0.255 Mdot 0.07217 0.24114 Mdot 0.07403 0.2195 Mdot 0.07589 0.17627 Mdot 0.07775 0.13782 Mdot 0.07961 0.20766 Mdot 0.08147 0.23454 Mdot 0.08333 0.25082 Mdot 0.08519 0.26193 Mdot 0.08705 0.26981 Mdot 0.08891 0.27536 Mdot 0.09077 0.27908 Mdot 0.09263 0.2812 Mdot 0.09449 0.28186 Mdot 0.09635 0.2811 Mdot 0.09821 0.27887 Mdot 0.10007 0.27501 Mdot 0.10193 0.26924 Mdot 0.10379 0.26102 Mdot 0.10565 0.24932 Mdot 0.10751 0.23184 Mdot 0.10938 0.20166 Mdot 0.11124 0.09504 Mdot 0.1131 0.18962 Mdot 0.11496 0.22634 Mdot 0.11682 0.24621 Mdot 0.11868 0.25928 Mdot 0.12054 0.26846 Mdot 0.1224 0.275 Mdot 0.12426 0.27951 Mdot 0.12612 0.28234 Mdot 0.12798 0.28366 Mdot 0.12984 0.28355 Mdot 0.1317 0.28199 Mdot 0.13356 0.27888 Mdot 0.13542 0.27399 Mdot 0.13728 0.26691 Mdot 0.13914 0.25685 Mdot 0.141 0.2422 Mdot 0.14286 0.21877 Mdot 0.14472 0.1677 Mdot 0.14658 0.16171 Mdot 0.14844 0.21723 Mdot 0.1503 0.24182 Mdot 0.15216 0.25716 Mdot 0.15402 0.26775 Mdot 0.15588 0.2753 Mdot 0.15774 0.28061 Mdot 0.1596 0.28412 Mdot 0.16146 0.28607 Mdot 0.16332 0.28656 Mdot 0.16518 0.28561 Mdot 0.16704 0.28314 Mdot 0.1689 0.279 Mdot 0.17076 0.27283 Mdot 0.17262 0.26402 Mdot 0.17448 0.25135 Mdot 0.17634 0.23193 Mdot 0.1782 0.19591 Mdot 0.18006 0.09572 Mdot 0.18192 0.20733 Mdot 0.18378 0.23809 Mdot 0.18564 0.25597 Mdot 0.1875 0.26802 Mdot 0.18936 0.27657 Mdot 0.19122 0.28265 Mdot 0.19308 0.2868 Mdot 0.19494 0.2893 Mdot 0.1968 0.29032 Mdot 0.19866 0.28989 Mdot 0.20052 0.28797 Mdot 0.20238 0.28442 Mdot 0.20424 0.27896 Mdot 0.2061 0.27107 Mdot 0.20796 0.25975 Mdot 0.20982 0.2428 Mdot 0.21168 0.21369 Mdot 0.21354 0.11981 Mdot 0.2154 0.19772 Mdot 0.21726 0.23595 Mdot 0.21912 0.25639 Mdot 0.22098 0.26982 Mdot 0.22284 0.27926 Mdot 0.2247 0.28601 Mdot 0.22656 0.2907 Mdot 0.22842 0.29368 Mdot 0.23028 0.29512 Mdot 0.23214 0.29509 Mdot 0.234 0.29358 Mdot 0.23586 0.29047 Mdot 0.23772 0.28549 Mdot 0.23958 0.2782 Mdot 0.24144 0.26771 Mdot 0.2433 0.25212 Mdot 0.24516 0.22625 Mdot 0.24702 0.16068 Mdot 0.24888 0.192 Mdot 0.25074 0.23715 Mdot 0.2526 0.25956 Mdot 0.25446 0.27399 Mdot 0.25632 0.28407 Mdot 0.25818 0.29129 Mdot 0.26004 0.29635 Mdot 0.2619 0.29964 Mdot 0.26376 0.30136 Mdot 0.26563 0.30158 Mdot 0.26749 0.3003 Mdot 0.26935 0.2974 Mdot 0.27121 0.29265 Mdot 0.27307 0.28557 Mdot 0.27493 0.27532 Mdot 0.27679 0.26004 Mdot 0.27865 0.23469 Mdot 0.28051 0.17178 Mdot 0.28237 0.19787 Mdot 0.28423 0.24431 Mdot 0.28609 0.26712 Mdot 0.28795 0.28176 Mdot 0.28981 0.29201 Mdot 0.29167 0.29935 Mdot 0.29353 0.30451 Mdot 0.29539 0.30787 Mdot 0.29725 0.30962 Mdot 0.29911 0.30985 Mdot 0.30097 0.30854 Mdot 0.30283 0.30555 Mdot 0.30469 0.30061 Mdot 0.30655 0.29321 Mdot 0.30841 0.28236 Mdot 0.31027 0.26585 Mdot 0.31213 0.23718 Mdot 0.31399 0.14428 Mdot 0.31585 0.2217 Mdot 0.31771 0.26035 Mdot 0.31957 0.28111 Mdot 0.32143 0.2948 Mdot 0.32329 0.30448 Mdot 0.32515 0.31142 Mdot 0.32701 0.31625 Mdot 0.32887 0.31929 Mdot 0.33073 0.32072 Mdot 0.33259 0.32057 Mdot 0.33445 0.31877 Mdot 0.33631 0.31514 Mdot 0.33817 0.3093 Mdot 0.34003 0.30052 Mdot 0.34189 0.2873 Mdot 0.34375 0.26587 Mdot 0.34561 0.22061 Mdot 0.34747 0.19682 Mdot 0.34933 0.26064 Mdot 0.35119 0.28723 Mdot 0.35305 0.30374 Mdot 0.35491 0.31518 Mdot 0.35677 0.32339 Mdot 0.35863 0.32921 Mdot 0.36049 0.33307 Mdot 0.36235 0.33519 Mdot 0.36421 0.33564 Mdot 0.36607 0.33435 Mdot 0.36793 0.33115 Mdot 0.36979 0.32562 Mdot 0.37165 0.31698 Mdot 0.37351 0.3036 Mdot 0.37537 0.28115 Mdot 0.37723 0.22959 Mdot 0.37909 0.23029 Mdot 0.38095 0.28498 Mdot 0.38281 0.31019 Mdot 0.38467 0.32627 Mdot 0.38653 0.33754 Mdot 0.38839 0.34564 Mdot 0.39025 0.35133 Mdot 0.39211 0.35499 Mdot 0.39397 0.35676 Mdot 0.39583 0.35663 Mdot 0.39769 0.35441 Mdot 0.39955 0.34967 Mdot 0.40141 0.34154 Mdot 0.40327 0.32809 Mdot 0.40513 0.30395 Mdot 0.40699 0.23711 Mdot 0.40885 0.27707 Mdot 0.41071 0.32272 Mdot 0.41257 0.34645 Mdot 0.41443 0.36216 Mdot 0.41629 0.37335 Mdot 0.41815 0.38135 Mdot 0.42001 0.38674 Mdot 0.42188 0.38968 Mdot 0.42374 0.39001 Mdot 0.4256 0.38716 Mdot 0.42746 0.37976 Mdot 0.42932 0.36418 Mdot 0.43118 0.32536 Mdot 0.43304 0.3038 Mdot 0.4349 0.37501 Mdot 0.43676 0.40778 Mdot 0.43862 0.43051 Mdot 0.44048 0.44838 Mdot 0.44234 0.46329 Mdot 0.4442 0.47619 Mdot 0.44606 0.48758 Mdot 0.44792 0.49781 Mdot 0.44978 0.50708 Mdot 0.45164 0.51556 Mdot 0.4535 0.52335 Mdot 0.45536 0.53055 Mdot 0.45722 0.53722 Mdot 0.45908 0.54341 Mdot 0.46094 0.54916 Mdot 0.4628 0.55452 Mdot 0.46466 0.5595 Mdot 0.46652 0.56414 Mdot 0.46838 0.56846 Mdot 0.47024 0.57247 Mdot 0.4721 0.57619 Mdot 0.47396 0.57964 Mdot 0.47582 0.58281 Mdot 0.47768 0.58574 Mdot 0.47954 0.58841 Mdot 0.4814 0.59085 Mdot 0.48326 0.59306 Mdot 0.48512 0.59504 Mdot 0.48698 0.5968 Mdot 0.48884 0.59834 Mdot 0.4907 0.59967 Mdot 0.49256 0.60079 Mdot 0.49442 0.6017 Mdot 0.49628 0.60241 Mdot 0.49814 0.60292 Mdot 0.5 0.60322 Mdot 0.50186 0.60332 Mdot 0.50372 0.60322 Mdot 0.50558 0.60292 Mdot 0.50744 0.60241 Mdot 0.5093 0.6017 Mdot 0.51116 0.60079 Mdot 0.51302 0.59967 Mdot 0.51488 0.59834 Mdot 0.51674 0.5968 Mdot 0.5186 0.59504 Mdot 0.52046 0.59306 Mdot 0.52232 0.59085 Mdot 0.52418 0.58841 Mdot 0.52604 0.58574 Mdot 0.5279 0.58281 Mdot 0.52976 0.57964 Mdot 0.53162 0.57619 Mdot 0.53348 0.57247 Mdot 0.53534 0.56846 Mdot 0.5372 0.56414 Mdot 0.53906 0.5595 Mdot 0.54092 0.55452 Mdot 0.54278 0.54916 Mdot 0.54464 0.54341 Mdot 0.5465 0.53722 Mdot 0.54836 0.53055 Mdot 0.55022 0.52335 Mdot 0.55208 0.51556 Mdot 0.55394 0.50708 Mdot 0.5558 0.49781 Mdot 0.55766 0.48758 Mdot 0.55952 0.47619 Mdot 0.56138 0.46329 Mdot 0.56324 0.44838 Mdot 0.5651 0.43051 Mdot 0.56696 0.40778 Mdot 0.56882 0.37501 Mdot 0.57068 0.3038 Mdot 0.57254 0.32536 Mdot 0.5744 0.36418 Mdot 0.57626 0.37976 Mdot 0.57813 0.38716 Mdot 0.57999 0.39001 Mdot 0.58185 0.38968 Mdot 0.58371 0.38674 Mdot 0.58557 0.38135 Mdot 0.58743 0.37335 Mdot 0.58929 0.36216 Mdot 0.59115 0.34645 Mdot 0.59301 0.32272 Mdot 0.59487 0.27707 Mdot 0.59673 0.23711 Mdot 0.59859 0.30395 Mdot 0.60045 0.32809 Mdot 0.60231 0.34154 Mdot 0.60417 0.34967 Mdot 0.60603 0.35441 Mdot 0.60789 0.35663 Mdot 0.60975 0.35676 Mdot 0.61161 0.35499 Mdot 0.61347 0.35133 Mdot 0.61533 0.34564 Mdot 0.61719 0.33754 Mdot 0.61905 0.32627 Mdot 0.62091 0.31019 Mdot 0.62277 0.28498 Mdot 0.62463 0.23029 Mdot 0.62649 0.22959 Mdot 0.62835 0.28115 Mdot 0.63021 0.3036 Mdot 0.63207 0.31698 Mdot 0.63393 0.32562 Mdot 0.63579 0.33115 Mdot 0.63765 0.33435 Mdot 0.63951 0.33564 Mdot 0.64137 0.33519 Mdot 0.64323 0.33307 Mdot 0.64509 0.32921 Mdot 0.64695 0.32339 Mdot 0.64881 0.31518 Mdot 0.65067 0.30374 Mdot 0.65253 0.28723 Mdot 0.65439 0.26064 Mdot 0.65625 0.19682 Mdot 0.65811 0.22061 Mdot 0.65997 0.26587 Mdot 0.66183 0.2873 Mdot 0.66369 0.30052 Mdot 0.66555 0.3093 Mdot 0.66741 0.31514 Mdot 0.66927 0.31877 Mdot 0.67113 0.32057 Mdot 0.67299 0.32072 Mdot 0.67485 0.31929 Mdot 0.67671 0.31625 Mdot 0.67857 0.31142 Mdot 0.68043 0.30448 Mdot 0.68229 0.2948 Mdot 0.68415 0.28111 Mdot 0.68601 0.26035 Mdot 0.68787 0.2217 Mdot 0.68973 0.14428 Mdot 0.69159 0.23718 Mdot 0.69345 0.26585 Mdot 0.69531 0.28236 Mdot 0.69717 0.29321 Mdot 0.69903 0.30061 Mdot 0.70089 0.30555 Mdot 0.70275 0.30854 Mdot 0.70461 0.30985 Mdot 0.70647 0.30962 Mdot 0.70833 0.30787 Mdot 0.71019 0.30451 Mdot 0.71205 0.29935 Mdot 0.71391 0.29201 Mdot 0.71577 0.28176 Mdot 0.71763 0.26712 Mdot 0.71949 0.24431 Mdot 0.72135 0.19787 Mdot 0.72321 0.17178 Mdot 0.72507 0.23469 Mdot 0.72693 0.26004 Mdot 0.72879 0.27532 Mdot 0.73065 0.28557 Mdot 0.73251 0.29265 Mdot 0.73438 0.2974 Mdot 0.73624 0.3003 Mdot 0.7381 0.30158 Mdot 0.73996 0.30136 Mdot 0.74182 0.29964 Mdot 0.74368 0.29635 Mdot 0.74554 0.29129 Mdot 0.7474 0.28407 Mdot 0.74926 0.27399 Mdot 0.75112 0.25956 Mdot 0.75298 0.23715 Mdot 0.75484 0.192 Mdot 0.7567 0.16068 Mdot 0.75856 0.22625 Mdot 0.76042 0.25212 Mdot 0.76228 0.26771 Mdot 0.76414 0.2782 Mdot 0.766 0.28549 Mdot 0.76786 0.29047 Mdot 0.76972 0.29358 Mdot 0.77158 0.29509 Mdot 0.77344 0.29512 Mdot 0.7753 0.29368 Mdot 0.77716 0.2907 Mdot 0.77902 0.28601 Mdot 0.78088 0.27926 Mdot 0.78274 0.26982 Mdot 0.7846 0.25639 Mdot 0.78646 0.23595 Mdot 0.78832 0.19772 Mdot 0.79018 0.11981 Mdot 0.79204 0.21369 Mdot 0.7939 0.2428 Mdot 0.79576 0.25975 Mdot 0.79762 0.27107 Mdot 0.79948 0.27896 Mdot 0.80134 0.28442 Mdot 0.8032 0.28797 Mdot 0.80506 0.28989 Mdot 0.80692 0.29032 Mdot 0.80878 0.2893 Mdot 0.81064 0.2868 Mdot 0.8125 0.28265 Mdot 0.81436 0.27657 Mdot 0.81622 0.26802 Mdot 0.81808 0.25597 Mdot 0.81994 0.23809 Mdot 0.8218 0.20733 Mdot 0.82366 0.09572 Mdot 0.82552 0.19591 Mdot 0.82738 0.23193 Mdot 0.82924 0.25135 Mdot 0.8311 0.26402 Mdot 0.83296 0.27283 Mdot 0.83482 0.279 Mdot 0.83668 0.28314 Mdot 0.83854 0.28561 Mdot 0.8404 0.28656 Mdot 0.84226 0.28607 Mdot 0.84412 0.28412 Mdot 0.84598 0.28061 Mdot 0.84784 0.2753 Mdot 0.8497 0.26775 Mdot 0.85156 0.25716 Mdot 0.85342 0.24182 Mdot 0.85528 0.21723 Mdot 0.85714 0.16171 Mdot 0.859 0.1677 Mdot 0.86086 0.21877 Mdot 0.86272 0.2422 Mdot 0.86458 0.25685 Mdot 0.86644 0.26691 Mdot 0.8683 0.27399 Mdot 0.87016 0.27888 Mdot 0.87202 0.28199 Mdot 0.87388 0.28355 Mdot 0.87574 0.28366 Mdot 0.8776 0.28234 Mdot 0.87946 0.27951 Mdot 0.88132 0.275 Mdot 0.88318 0.26846 Mdot 0.88504 0.25928 Mdot 0.8869 0.24621 Mdot 0.88876 0.22634 Mdot 0.89063 0.18962 Mdot 0.89249 0.09504 Mdot 0.89435 0.20166 Mdot 0.89621 0.23184 Mdot 0.89807 0.24932 Mdot 0.89993 0.26102 Mdot 0.90179 0.26924 Mdot 0.90365 0.27501 Mdot 0.90551 0.27887 Mdot 0.90737 0.2811 Mdot 0.90923 0.28186 Mdot 0.91109 0.2812 Mdot 0.91295 0.27908 Mdot 0.91481 0.27536 Mdot 0.91667 0.26981 Mdot 0.91853 0.26193 Mdot 0.92039 0.25082 Mdot 0.92225 0.23454 Mdot 0.92411 0.20766 Mdot 0.92597 0.13782 Mdot 0.92783 0.17627 Mdot 0.92969 0.2195 Mdot 0.93155 0.24114 Mdot 0.93341 0.255 Mdot 0.93527 0.26462 Mdot 0.93713 0.27143 Mdot 0.93899 0.27613 Mdot 0.94085 0.27911 Mdot 0.94271 0.28055 Mdot 0.94457 0.28057 Mdot 0.94643 0.27915 Mdot 0.94829 0.27623 Mdot 0.95015 0.27159 Mdot 0.95201 0.26489 Mdot 0.95387 0.25545 Mdot 0.95573 0.24193 Mdot 0.95759 0.22109 Mdot 0.95945 0.18095 Mdot 0.96131 0.12237 Mdot 0.96317 0.20371 Mdot 0.96503 0.23192 Mdot 0.96689 0.24869 Mdot 0.96875 0.26005 Mdot 0.97061 0.26807 Mdot 0.97247 0.27371 Mdot 0.97433 0.27749 Mdot 0.97619 0.27966 Mdot grestore grestore grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc`02og000_ll00Co2@0001/000?o00004`02olP0 0_lM00006`000ol0000C00;o8P02oh400_lQ00;o7@0001/000?o00009002oa400_lG00;oCP02oaP0 0_l@00;o;P0001/00_lD00;o3`02o`P00_l?00;o3`02odh00_l?00;o4002o`L00_l@00;o700001/0 00Co00000_l?00?o3`02o`P00_l?00;oL002oa000_l700;o4002oa000_l:00006`001?l00002o`P0 0_l500;o4003o`L00_nC00;o1P03oa000_l600;o2002o`X0000K0003o`0000/00_lH00;o1`02oi<0 0_l600;o6@02oa@0000K0003o`0001/00_l@00;o8P02odd00_lR00;o4002ob@0000K0004o`0000;o 1P02oa001?l>00;o6@03o`H00_m=00;o1P03oaT00_l>00Co3`02o`L00_l:00006`02o`800ol500;o 1`02o`L01?lY00?o1@02odl00_l500?o:@04o`L00_l600?o1@03o`X0000K0003o`0000Co1@03o`H0 1?lP00;o2002o`H00_l600;oC`02o`H00_l600;o2002ob001?l600?o1@04o`T0000K0003o`0000;o 2002o`H01?l>00;o4002o`P00_lF00;o?P03oaH00_l800;o4002o`h01?l600;o2002o`T0000K0003 o`0000;o2@02o`D00_l@00?o5`02oaP00oll00Co5`02oaL01?l@00;o1@02o`T00_l900006`000ol0 000;00;o1P02oa000ol600;o1`02o`D00_l700;o4002o`D00_l_00;o1002oa400_l600;o1P02o`H0 0_l700;o4002o`L00_lD00006`000ol0000200;o1@02o`P00_l600Co1`02o`D00ol700;o3P02o`P0 0_l=00;o;`02o``00_l900;o3P02o`H01?l500;o1`04o`D00_l900;o1002o``0000K00;o0`02o`D0 0_l900;o1@04o`D00_l700;o2002o`L00_l?00;oC002oa000_l700;o2002o`L00_l500Co1002o`X0 0_l400?o2`0001/000?o0?l01?l400;o0P02o`<00_l00`3oo`0500Co1@02oaX00_m_00;o6P02o`D0 1?l400;o00<0ool01002o`030?oo00D01Ol800006`000ol0o`02o`H00_l0103oool300;o2004o`@0 0_l900;o1@02o`P00_lH00;o?@02oaP00_l800;o1002o`T00_l500Co1`02o`@01Ol700?o200000h0 0_l400;o1@000ol0000300;o0`02o`030?oo00d00_l200;o0`02o`030?oo00H00ol400;o2002oaP0 0_lm00;o6002o`P00_l400;o1P02o`030?oo00@00_l200;o3@04o`@00_l<00003@001?l00?l20004 o`00o`@000Go0?oo0003o`L00_l300;o00@0oooo0`02o`800_l600;o1002o`030?oo00L00_l400;o 2@02o`H00_m=00;o1P02o`T00_l400;o1`02o`030?oo00<00ol600;o0P02o`<00ol00`3oo`0300;o 1`03o`030?oo00P0000=0004o`00o`8000Co003o10001Ol0ool000?o0`02o`040?ooo`<00_l0103o ool300;o1`02o`030?oo00@00ol700Co1002o`L01?l400CoC@03o`D01?l700;o1004o`L00ol400;o 00<0ool01`02o`<00ol00`3oo`0300?o00<0ool00P04o`030?oo00P0000700Co0P03o`<000Co003o 1004o`800_l300;o00<0ool00_l0103oool200;o0`02o`040?ooo`<00_l200;o1004o`@00ol800;o 1@03o`D00_l@00;o;@02o`l00_l600?o1002o`T00ol300;o00<0ool01002o`040?ooo`<00ol00`3o o`0200;o0`02o`801?l00`3oo`0200;o0`02o`P0000=0003o`0000<000Co003o1004o`030?oo00;o 00<0ool01002o`030?oo00800ol200?o00@0oooo0P03o`800_l300;o00<0ool01002o`030?oo00H0 0_l600?o5P02obd00_lF00?o1@02o`L00_l00`3oo`0300;o0P02o`<00_l0103oool300?o00D0oooo 0003o`800_l200;o0`02o`800ol200?o1`0000h000?o00000P001?l00?l400?o0P04o`030?oo00<0 0ol00`3oo`0200Co00<0ool00`02o`800_l200?o0`02o`030?oo00<00_l200;o0`02o`X00_l500;o 3P03obd00ol=00;o1P02o`T00_l400;o00<0ool01002o`030?oo00<00_l200;o0P02o`@00_l0103o ool200?o00@0oooo0P07o`<00_l700003`02o`<00_l500?o0`06o`<01_l400Ko0P03o`050?ooo`00 0ol200;o0P03o`800_l700?o00<0ool01P02o`D00_l600;o1P02obl00_l600;o1@02o`H00_l600Go 1`02o`<00ol200;o0P02o`800ol0103oool200Ko0`07o`<01_l300?o1P0001/00ol300Ko0`06o`<0 1ol200Oo0`02o`040?ooo`800_l200?o0P02o`800ol00`3oo`0300;o00<0ool03@03ocd00ol=00;o 00<0ool00`06o`800_l200?o0P02o`800ol00`3oo`0300Oo0P07o`<01_l300Ko0`03o`H0000K00;o 1005o`@00_l200;o0`06o`@01?l400Oo00@0oooo0P03o`040?ooo`800_l700;o1`05o`D00_lm00;o 1@02o`030?oo00L00_l700;o0P03o`050?ooo`000ol200Oo0`04o`D01_l300;o0P02o`<00_l00`3o o`0500;o1P0001/00_l500Co1@05o`<00_l200;o0`06o`<01ol00`3oo`04o`<00ol00`3oo`0300;o 0`03o`H01Om;00;o00<0ool01P03o`800ol200;o0P03o`801_l200Oo0P07o`<00_l00`3oo`0400Go 1005o`d0000K0003o`0000@01?l500Go0`06o`<00_l200;o1@05o`<01_l200Oo00<0ool00`05oe`0 0_l0103oool200?o00<0ool01Ol200Ko0`05o`@00ol0103oool300;o00<0ool01005o`D00ol>0000 6`000ol0000>00?o1@04o`@01_l300;o0P02o`<01?l00`3oo`0200Oo0P02o`030?oo00800_l300;o 2004oc/00ol800;o0`02o`<00_l00`3oo`0200Oo0P07o`<00_l200;o0`02o`030?oo00@01Ol500?o 5`0001/000?o00005P04o`D01?l400?o00<0ool00`02o`800_l300Co1003o`030?oo00<00_l200Ko 0`05o`<00_l500;o8P02o`D00_l400Go0`05o`<00_l300Go1005o`800_l300;o0`02o`040?ooo`<0 1Ol500?o800001/000?o00007`04o`D01Ol300;o0P02o`D01?l200So00<0ool01004o`<00_l600;o 1@03ob400_l500;o1`02o`<01?l400;o00<0ool01Ol200;o00<0ool01002o`800_l400Go1@03obT0 000K00;o8@02o`H01Ol300?o00<0ool00`02o`800_l400Ko00<0ool00P02o`800_l500;o3002ob40 0_l;00;o1P02o`800_l01@3oool000Ko0`02o`<00_l300;o00<0ool01005o`D00olY00006`000ol0 000Y00?o1@05o`<00ol00`3oo`0300Co1006o`800_l500;o?002o`H00_l200;o00@0oooo1004o`<0 0_l0103oool300Go1@03oc80000K0003o`0003401?l500Go0`02o`800_l300Ko00<0ool00`02od40 0_l300Wo0`02o`800_l300;o00<0ool01004oc/0000K0003o`0003800_l600Co1002o`800_l200Oo 0P02o`801Ol400?o;@03o`<00_l0103oool200;o00@0ool01?l300;o00<0ool01005o`D00_ll0000 6`000ol0000k00?o1003o`030?oo00801?l00`3oo`0200;o00<0ool01?l300Go0P02ob<00_l200Go 0P07o`030?oo00800_l0103oool300;o00<0ool01@03od@0000K0003o`0004<01?l400;o0P02o`80 0_l00`3oo`0200;o0`02o`030?oo00800_lS00;o0P02o`030?oo00<00_l200;o00<0ool00P02o`80 0_l400CoC00001/00_m400Co1002o`030?oo00<01olo00Oo0P02o`040?ooo`@01?m<00006`000ol0 001400;o1@05o`<01?l00`3oo`02ocX00_l0103oo`04o`801Ol600;oC@0001/000?o0000C004o`<0 0_l500?o00<0ool01`02ob000_l700;o0P02o`H00_l300CoE@0001/000?o0000C003o`D00_l00`3o o`0200;o00<0ool00ol400;o8002o`D01?l200;o0P02o`030?oo00@00omF00006`000ol0001D00;o 00<0ool00P02o`030?oo00?o;@08o`800_l00`3oo`1M00006`000ol0001D00Go0P05o`800_l[00;o 0P04o`<01OmM00006`02oeH00ol300Ko00<0ool0:`08o`@00omN00006`000ol0001L00Go00<0ool0 :`04o`040?ooofD0000K0003o`0005`00_l0103oo`02o`800_lR00?o0P02o`030?oo00?oI@0000l0 00?o00000P02o`D000?o0000G005o`800_l00`3oo`0R00?o00<0ool00P04ofH0000?0005o`000?l0 0P000ol000020003o`0005d00ol200?o:@03o`030?oo00;oIP0000`01Ol20004o`00o`@000?o0000 G@03o`800_l300;o8@02o`<00_l200;oI`0000L01?l01@3o003o00<000Co003o1002of@01_lQ00Ko K00000d000?o0?l00`001?l00?l40003o`0006<01OlS00GoK00000h00_l30004o`00o`@000?o0000 H`05ob<01Om/00003`000ol0000200;o1@000ol0001S00Oo7`07of`0000K0003o`0006@01_lO00Ko K@0001/000?o0000I003obD00om]00006`02ood0000K0003o`0006L00_lP00;oL@0001/000?o0000 I`02ob000_ma00006`000ol0003l00006`000ol0003l00006`000ol0001X00;o7P02og80000K00;o J@02oah00_mb00006`000ol0001X00;o7`02og40000K0003o`0006P00_lO00;oL@0001/000?o0000 o00001/000?o0000J@02oad00_mb00006`000ol0001Y00;o7@02og80000K00;oJ@02oah00_mb0000 6`000ol0001X00;o7P02og80000K0003o`000?`0000K0003o`0006T00_lL00;oL`0001/000?o0000 J@02oa`00omb00006`02ofX00_lM00;oLP0001/000?o0000JP02oa/00_mc00006`000ol0001Y00?o 6`02og<0000K0003o`0006T00_lL00;oL`0000d01?l300;o1@000ol0003l00003@001?l00?l20004 o`00o`@000?o0000JP02oaX00omc00003P000ol000020004o`00o`@00_m[00;o6P03og<0000700Co 10001Ol0003o008000?o00000P000ol0001[00;o6@02og@0000@0004o`00o`8000?o00000P000ol0 001Z00?o6@02og@0000=0004o`00o`8000Co003o10000ol0001Z00;o6P02og@0000>00;o1002o`D0 00?o0000J`02oaP00omd00006`000ol0001[00;o6003og@0000K00;oK003oaL00_me00006`000ol0 001[00?o5`02ogD0000K0003o`0006`00_lF00?oM@0001/000?o0000K002oaH00ome00006`000ol0 001/00?o5@02ogH0000K0003o`0006`00olE00;oMP0001/00_m^00;o5003ogH0000K0003o`0006d0 0_lD00?oMP0001/000?o0000K@03oa<00_mg00006`000ol0001^00;o4`02ogL0000K0003o`0002D0 1Ol200;o1002ob401?l300;o1002o`X00_lC00;o0P02o`@00_l400;o8`000ol0000200;o1002ob40 0ol400;o1002o`L0000K0003o`0002L000Go0000o`020004o`00o`8000?o00007P001?l00?l20004 o`00o`8000Co003o2@03oa400ol01@3o003o008000Co003o0P001?l00?lR0005o`000?l00P001?l0 0?l20003o`00024000Co003o0P001?l00?l20003o`0000@0000K00;o:0001Ol0003o008000Co003o 0P000ol0000O0003o`00008000Co003o0P001?l00?l:00;o4@02o`D000Co003o0P001?l00?l20003 o`0001d01Ol20004o`00o`8000Co003o8`001?l00?l20004o`00o`8000?o0000100001/000?o0000 9`001Ol0003o008000Co003o0P000ol0000P0005o`000?l00P001?l00?l20003o`0000P00ol?00?o 0`02o`<000Co003o0P001?l00?lO0004o`00o`<000Co003o0P001?l00?lP00?o0`001?l00?l20004 o`00o`H0000K0003o`0002L000Go0000o`020004o`00o`8000?o00008@001?l00?l20004o`00o`80 00?o00002003o`l00ol50004o`00o`8000Co003o0P000ol0000N0003o`3o00<000Co003o0P001?l0 0?lP0003o`0000<000Co003o0P001?l00?l600006`000ol0000U00?o0`001?l00?l20004o`00ob00 00Co003o0P001?l00?l20004o`00o`/00ol=00?o0`001?l00?l20004o`00o`8000Co003o8@02o`<0 00Co003o0P001?l00?lP0003o`0000<000Co003o0P001?l00?l600006`000ol0000W0003o`000080 0_l400;o8P02o`@00_l400;o3003o`d00ol400;o1002o`@00_lS0003o`0000800_l400;o8@04o`<0 0_l400;o1`0001/000?o0000L@03o`/00omj00006`02og800ol;00?oNP0001/000?o0000LP03o`T0 0omk00006`000ol0001c00?o1`03og`0000K0003o`0007<00ol600CoO00001/000?o0000M004o`80 1Omm00005@3oo`Go0@0001/000?o00001P000ol000070003o`0000L000?o00001P000ol000070003 o`0000L000?o00001P000ol000070003o`0000L000?o00001P000ol000070003o`0000L000?o0000 0P06o`P000?o00001`000ol000060003o`0000L000?o00001`000ol000060003o`0000L000?o0000 1`000ol000060003o`0000L000?o00001`000ol000060003o`0000L000?o00000@0001/000?o0000 ;@000ol0000]0003o`0002h000?o0000;@000ol0000]0003o`0000/0000K0003o`000?`0000K0003 o`000?`0003o01/0003o01/0003o01/0003o01/0003o01/0003o01/00000\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-56.2716, -111.526, 2.06991, 0.684451}}]}, Open]]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData[ "Main Lobe Width based on Theoretical Approximation"], "Subsection", Evaluatable->False], Cell[TextData[ "numeratorW[o_] = Sinh[z] /. z->Sqrt[anyBeta^2-(anyM o/2)^2];\nroots = \ Solve[numeratorW[omega]==0,omega];"], "Input"], Cell[CellGroupData[{Cell[TextData["roots[[1]] (* Only positive, real, root *)"], "Input"], Cell[OutputFormData["\<\ {omega -> (2*anyBeta)/anyM}\ \>", "\<\ 2 anyBeta {omega -> ---------} anyM\ \>"], "Output", Evaluatable->False]}, Open]]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Practical Design Formulas"], "Section", Evaluatable->False], Cell[CellGroupData[{Cell[OutputFormData["\<\ Window Time-Bandwidth Parameter Beta\ \>", "\<\ Window Time - Bandwidth Parameter Beta\ \>"], "Subsection", Evaluatable->False], Cell[TextData[ "The input is the desired sidelobe attenuation in dB, e.g. 80"], "Text", Evaluatable->False], Cell[TextData[ "goodBeta[a_] := If[a<21,0,\n\t\t If[a>50, 0.1102 (a-8.7),\n\t\t \t0.5842 \ (a-21)^0.4 + 0.07886 (a-21)]];"], "Input"]}, Open]], Cell[CellGroupData[{Cell[TextData["Window Transform Transition Width"], "Subsection", Evaluatable->False], Cell[TextData[ "deltaFN[a_] - The input is the desired sidelobe attenuation in dB, and the \ output is normalized as transition bandwidth in Hz times window length in \ seconds. For the rectangular window (sinc window transform), this product is \ 1 if the transition bandwidth is taken as the distance from the peak of the \ main lobe to the first zero crossing of the sinc function. Thus, the \ normalized transition width parameter will always be greater than 1, and the \ larger it is, the more sidelobe rejection we expect."], "Text", Evaluatable->False], Cell[TextData["deltaFN[a_] := If[a<21,0.9222, (a-7.95)/14.36]"], "Input"], Cell[TextData[ "deltaBins[] - The input is the desired sidelobe attenuation in dB, and the \ output is in units of FFT bins at the current FFT size NN and window length \ M."], "Text", Evaluatable->False], Cell[TextData["deltaBins[a_] := deltaFN[a] NN / M"], "Input"]}, Open]], Cell[CellGroupData[{Cell[TextData["High-Quality Audio Example"], "Subsection", Evaluatable->False], Cell[TextData[ "att2 = 100;\t(* desired stop-band attenuation in dB *)"], "Input"], Cell[CellGroupData[{Cell[TextData["beta = goodBeta[att2]"], "Input"], Cell[OutputFormData["\<\ 10.06126\ \>", "\<\ 10.0613\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData["The above value checks with Kaiser's paper "], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["deltaFN[att2]"], "Input"], Cell[OutputFormData["\<\ 6.41016713091922\ \>", "\<\ 6.41017\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData["The above value also checks with Kaiser's paper "], "Text", Evaluatable->False], Cell[TextData[ "wu2 = Table[kaiser[n],{n,0,nu}];\nwl2 = Table[kaiser[n],{n,nl,-1}];\nzp = 0 \ * Range[NN-M];\nw2 = Flatten[{wu2,zp,wl2}];\nW2 = fft[w2];\nWdb2 = 20 \ Log[10,Abs[W2]];"], "Input"], Cell[CellGroupData[{Cell[TextData["pw2 = ListPlot[Flatten[{wl2,wu2}]];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.035273 0.014715 8.355805 [ [(5)] 0.20018 0.01472 0 2 Msboxa [(10)] 0.37654 0.01472 0 2 Msboxa [(15)] 0.55291 0.01472 0 2 Msboxa [(20)] 0.72928 0.01472 0 2 Msboxa [(25)] 0.90564 0.01472 0 2 Msboxa [(0.01)] 0.01131 0.09827 1 0 Msboxa [(0.02)] 0.01131 0.18183 1 0 Msboxa [(0.03)] 0.01131 0.26539 1 0 Msboxa [(0.04)] 0.01131 0.34895 1 0 Msboxa [(0.05)] 0.01131 0.43251 1 0 Msboxa [(0.06)] 0.01131 0.51606 1 0 Msboxa [(0.07)] 0.01131 0.59962 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20018 0.01472 moveto 0.20018 0.02097 lineto stroke grestore [(5)] 0.20018 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.37654 0.01472 moveto 0.37654 0.02097 lineto stroke grestore [(10)] 0.37654 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.55291 0.01472 moveto 0.55291 0.02097 lineto stroke grestore [(15)] 0.55291 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.72928 0.01472 moveto 0.72928 0.02097 lineto stroke grestore [(20)] 0.72928 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.90564 0.01472 moveto 0.90564 0.02097 lineto stroke grestore [(25)] 0.90564 0.01472 0 2 Mshowa gsave 0.001 setlinewidth 0.05908 0.01472 moveto 0.05908 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.09436 0.01472 moveto 0.09436 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.12963 0.01472 moveto 0.12963 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.1649 0.01472 moveto 0.1649 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.23545 0.01472 moveto 0.23545 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.27072 0.01472 moveto 0.27072 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.306 0.01472 moveto 0.306 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.34127 0.01472 moveto 0.34127 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.41182 0.01472 moveto 0.41182 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.44709 0.01472 moveto 0.44709 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.48236 0.01472 moveto 0.48236 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.51764 0.01472 moveto 0.51764 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.58818 0.01472 moveto 0.58818 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.62346 0.01472 moveto 0.62346 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.65873 0.01472 moveto 0.65873 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.694 0.01472 moveto 0.694 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.76455 0.01472 moveto 0.76455 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.79982 0.01472 moveto 0.79982 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.8351 0.01472 moveto 0.8351 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.87037 0.01472 moveto 0.87037 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.94092 0.01472 moveto 0.94092 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.97619 0.01472 moveto 0.97619 0.01847 lineto stroke grestore gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.09827 moveto 0.03006 0.09827 lineto stroke grestore [(0.01)] 0.01131 0.09827 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.18183 moveto 0.03006 0.18183 lineto stroke grestore [(0.02)] 0.01131 0.18183 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.26539 moveto 0.03006 0.26539 lineto stroke grestore [(0.03)] 0.01131 0.26539 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.34895 moveto 0.03006 0.34895 lineto stroke grestore [(0.04)] 0.01131 0.34895 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.43251 moveto 0.03006 0.43251 lineto stroke grestore [(0.05)] 0.01131 0.43251 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.51606 moveto 0.03006 0.51606 lineto stroke grestore [(0.06)] 0.01131 0.51606 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.59962 moveto 0.03006 0.59962 lineto stroke grestore [(0.07)] 0.01131 0.59962 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.03143 moveto 0.02756 0.03143 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.04814 moveto 0.02756 0.04814 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.06485 moveto 0.02756 0.06485 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.08156 moveto 0.02756 0.08156 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.11498 moveto 0.02756 0.11498 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1317 moveto 0.02756 0.1317 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.14841 moveto 0.02756 0.14841 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.16512 moveto 0.02756 0.16512 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.19854 moveto 0.02756 0.19854 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.21525 moveto 0.02756 0.21525 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23197 moveto 0.02756 0.23197 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.24868 moveto 0.02756 0.24868 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2821 moveto 0.02756 0.2821 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.29881 moveto 0.02756 0.29881 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.31552 moveto 0.02756 0.31552 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.33224 moveto 0.02756 0.33224 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.36566 moveto 0.02756 0.36566 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.38237 moveto 0.02756 0.38237 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.39908 moveto 0.02756 0.39908 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.41579 moveto 0.02756 0.41579 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44922 moveto 0.02756 0.44922 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.46593 moveto 0.02756 0.46593 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.48264 moveto 0.02756 0.48264 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.49935 moveto 0.02756 0.49935 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53278 moveto 0.02756 0.53278 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.54949 moveto 0.02756 0.54949 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5662 moveto 0.02756 0.5662 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58291 moveto 0.02756 0.58291 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.61633 moveto 0.02756 0.61633 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.05908 0.01491 Mdot 0.09436 0.01671 Mdot 0.12963 0.02215 Mdot 0.1649 0.03435 Mdot 0.20018 0.05704 Mdot 0.23545 0.09375 Mdot 0.27072 0.14672 Mdot 0.306 0.2158 Mdot 0.34127 0.29759 Mdot 0.37654 0.38535 Mdot 0.41182 0.46969 Mdot 0.44709 0.5401 Mdot 0.48236 0.5869 Mdot 0.51764 0.60332 Mdot 0.55291 0.5869 Mdot 0.58818 0.5401 Mdot 0.62346 0.46969 Mdot 0.65873 0.38535 Mdot 0.694 0.29759 Mdot 0.72928 0.2158 Mdot 0.76455 0.14672 Mdot 0.79982 0.09375 Mdot 0.8351 0.05704 Mdot 0.87037 0.03435 Mdot 0.90564 0.02215 Mdot 0.94092 0.01671 Mdot 0.97619 0.01491 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-3.06892, -0.00764875, 0.109816, 0.000463576}}]}, Open]], Cell[CellGroupData[{Cell[TextData["pWdb2 = ListPlot[Wdb2];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.603319 0.004159 [ [(100)] 0.20982 0.60332 0 2 Msboxa [(200)] 0.39583 0.60332 0 2 Msboxa [(300)] 0.58185 0.60332 0 2 Msboxa [(400)] 0.76786 0.60332 0 2 Msboxa [(500)] 0.95387 0.60332 0 2 Msboxa [(-140)] 0.01131 0.02105 1 0 Msboxa [(-120)] 0.01131 0.10423 1 0 Msboxa [(-100)] 0.01131 0.18741 1 0 Msboxa [(-80)] 0.01131 0.2706 1 0 Msboxa [(-60)] 0.01131 0.35378 1 0 Msboxa [(-40)] 0.01131 0.43696 1 0 Msboxa [(-20)] 0.01131 0.52014 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.60332 moveto 0.20982 0.60957 lineto stroke grestore [(100)] 0.20982 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.60332 moveto 0.39583 0.60957 lineto stroke grestore [(200)] 0.39583 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.60332 moveto 0.58185 0.60957 lineto stroke grestore [(300)] 0.58185 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.60332 moveto 0.76786 0.60957 lineto stroke grestore [(400)] 0.76786 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.60332 moveto 0.95387 0.60957 lineto stroke grestore [(500)] 0.95387 0.60332 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.60332 moveto 0.06101 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.60332 moveto 0.09821 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.60332 moveto 0.13542 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.60332 moveto 0.17262 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.60332 moveto 0.24702 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.60332 moveto 0.28423 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.60332 moveto 0.32143 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.60332 moveto 0.35863 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.60332 moveto 0.43304 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.60332 moveto 0.47024 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.60332 moveto 0.50744 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.60332 moveto 0.54464 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.60332 moveto 0.61905 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.60332 moveto 0.65625 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.60332 moveto 0.69345 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.60332 moveto 0.73065 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.60332 moveto 0.80506 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.60332 moveto 0.84226 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.60332 moveto 0.87946 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.60332 moveto 0.91667 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.60332 moveto 0.99107 0.60707 lineto stroke grestore gsave 0.002 setlinewidth 0 0.60332 moveto 1 0.60332 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.02105 moveto 0.03006 0.02105 lineto stroke grestore [(-140)] 0.01131 0.02105 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.10423 moveto 0.03006 0.10423 lineto stroke grestore [(-120)] 0.01131 0.10423 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.18741 moveto 0.03006 0.18741 lineto stroke grestore [(-100)] 0.01131 0.18741 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.2706 moveto 0.03006 0.2706 lineto stroke grestore [(-80)] 0.01131 0.2706 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.35378 moveto 0.03006 0.35378 lineto stroke grestore [(-60)] 0.01131 0.35378 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.43696 moveto 0.03006 0.43696 lineto stroke grestore [(-40)] 0.01131 0.43696 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.52014 moveto 0.03006 0.52014 lineto stroke grestore [(-20)] 0.01131 0.52014 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.03769 moveto 0.02756 0.03769 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.05432 moveto 0.02756 0.05432 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.07096 moveto 0.02756 0.07096 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.0876 moveto 0.02756 0.0876 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.12087 moveto 0.02756 0.12087 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.13751 moveto 0.02756 0.13751 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.15414 moveto 0.02756 0.15414 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.17078 moveto 0.02756 0.17078 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.20405 moveto 0.02756 0.20405 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.22069 moveto 0.02756 0.22069 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23732 moveto 0.02756 0.23732 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.25396 moveto 0.02756 0.25396 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.28723 moveto 0.02756 0.28723 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.30387 moveto 0.02756 0.30387 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3205 moveto 0.02756 0.3205 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.33714 moveto 0.02756 0.33714 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.37041 moveto 0.02756 0.37041 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.38705 moveto 0.02756 0.38705 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.40368 moveto 0.02756 0.40368 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.42032 moveto 0.02756 0.42032 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.45359 moveto 0.02756 0.45359 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.47023 moveto 0.02756 0.47023 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.48687 moveto 0.02756 0.48687 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5035 moveto 0.02756 0.5035 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53677 moveto 0.02756 0.53677 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.55341 moveto 0.02756 0.55341 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.57005 moveto 0.02756 0.57005 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58668 moveto 0.02756 0.58668 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.00442 moveto 0.02756 0.00442 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.02567 0.59116 Mdot 0.02753 0.59112 Mdot 0.02939 0.591 Mdot 0.03125 0.59079 Mdot 0.03311 0.5905 Mdot 0.03497 0.59013 Mdot 0.03683 0.58968 Mdot 0.03869 0.58914 Mdot 0.04055 0.58852 Mdot 0.04241 0.58781 Mdot 0.04427 0.58702 Mdot 0.04613 0.58615 Mdot 0.04799 0.58519 Mdot 0.04985 0.58414 Mdot 0.05171 0.58301 Mdot 0.05357 0.58178 Mdot 0.05543 0.58047 Mdot 0.05729 0.57907 Mdot 0.05915 0.57758 Mdot 0.06101 0.57599 Mdot 0.06287 0.57431 Mdot 0.06473 0.57254 Mdot 0.06659 0.57067 Mdot 0.06845 0.56871 Mdot 0.07031 0.56664 Mdot 0.07217 0.56447 Mdot 0.07403 0.5622 Mdot 0.07589 0.55982 Mdot 0.07775 0.55734 Mdot 0.07961 0.55475 Mdot 0.08147 0.55204 Mdot 0.08333 0.54922 Mdot 0.08519 0.54628 Mdot 0.08705 0.54321 Mdot 0.08891 0.54002 Mdot 0.09077 0.5367 Mdot 0.09263 0.53325 Mdot 0.09449 0.52966 Mdot 0.09635 0.52592 Mdot 0.09821 0.52204 Mdot 0.10007 0.518 Mdot 0.10193 0.5138 Mdot 0.10379 0.50943 Mdot 0.10565 0.50488 Mdot 0.10751 0.50014 Mdot 0.10938 0.4952 Mdot 0.11124 0.49006 Mdot 0.1131 0.48469 Mdot 0.11496 0.47909 Mdot 0.11682 0.47323 Mdot 0.11868 0.4671 Mdot 0.12054 0.46067 Mdot 0.1224 0.45391 Mdot 0.12426 0.4468 Mdot 0.12612 0.43929 Mdot 0.12798 0.43134 Mdot 0.12984 0.42288 Mdot 0.1317 0.41384 Mdot 0.13356 0.40411 Mdot 0.13542 0.39356 Mdot 0.13728 0.38199 Mdot 0.13914 0.36911 Mdot 0.141 0.35443 Mdot 0.14286 0.33709 Mdot 0.14472 0.3152 Mdot 0.14658 0.283 Mdot 0.14844 0.16542 Mdot 0.1503 0.26121 Mdot 0.15216 0.2769 Mdot 0.15402 0.28036 Mdot 0.15588 0.27777 Mdot 0.15774 0.27033 Mdot 0.1596 0.25716 Mdot 0.16146 0.23336 Mdot 0.16332 0.1449 Mdot 0.16518 0.22226 Mdot 0.16704 0.24595 Mdot 0.1689 0.25711 Mdot 0.17076 0.26284 Mdot 0.17262 0.26522 Mdot 0.17448 0.26502 Mdot 0.17634 0.26255 Mdot 0.1782 0.25772 Mdot 0.18006 0.25011 Mdot 0.18192 0.2385 Mdot 0.18378 0.21952 Mdot 0.18564 0.17575 Mdot 0.1875 0.18451 Mdot 0.18936 0.21954 Mdot 0.19122 0.23514 Mdot 0.19308 0.24422 Mdot 0.19494 0.24974 Mdot 0.1968 0.25286 Mdot 0.19866 0.2541 Mdot 0.20052 0.2537 Mdot 0.20238 0.25173 Mdot 0.20424 0.24812 Mdot 0.2061 0.24262 Mdot 0.20796 0.23467 Mdot 0.20982 0.22302 Mdot 0.21168 0.20436 Mdot 0.21354 0.16245 Mdot 0.2154 0.16711 Mdot 0.21726 0.20383 Mdot 0.21912 0.22024 Mdot 0.22098 0.23008 Mdot 0.22284 0.23642 Mdot 0.2247 0.24046 Mdot 0.22656 0.24275 Mdot 0.22842 0.24357 Mdot 0.23028 0.24306 Mdot 0.23214 0.24124 Mdot 0.234 0.23804 Mdot 0.23586 0.23323 Mdot 0.23772 0.22642 Mdot 0.23958 0.21676 Mdot 0.24144 0.20228 Mdot 0.2433 0.17649 Mdot 0.24516 0.06078 Mdot 0.24702 0.17809 Mdot 0.24888 0.2012 Mdot 0.25074 0.21396 Mdot 0.2526 0.22217 Mdot 0.25446 0.22765 Mdot 0.25632 0.2312 Mdot 0.25818 0.23325 Mdot 0.26004 0.23399 Mdot 0.2619 0.23354 Mdot 0.26376 0.23189 Mdot 0.26563 0.22899 Mdot 0.26749 0.22465 Mdot 0.26935 0.21853 Mdot 0.27121 0.20998 Mdot 0.27307 0.19755 Mdot 0.27493 0.17722 Mdot 0.27679 0.12478 Mdot 0.27865 0.15343 Mdot 0.28051 0.18478 Mdot 0.28237 0.20022 Mdot 0.28423 0.2099 Mdot 0.28609 0.21643 Mdot 0.28795 0.22085 Mdot 0.28981 0.22368 Mdot 0.29167 0.2252 Mdot 0.29353 0.22554 Mdot 0.29539 0.22477 Mdot 0.29725 0.22286 Mdot 0.29911 0.21972 Mdot 0.30097 0.21515 Mdot 0.30283 0.20879 Mdot 0.30469 0.1999 Mdot 0.30655 0.1869 Mdot 0.30841 0.16512 Mdot 0.31027 0.09933 Mdot 0.31213 0.15021 Mdot 0.31399 0.17847 Mdot 0.31585 0.19313 Mdot 0.31771 0.20252 Mdot 0.31957 0.20893 Mdot 0.32143 0.21333 Mdot 0.32329 0.21621 Mdot 0.32515 0.21782 Mdot 0.32701 0.21829 Mdot 0.32887 0.2177 Mdot 0.33073 0.21602 Mdot 0.33259 0.21317 Mdot 0.33445 0.20898 Mdot 0.33631 0.20313 Mdot 0.33817 0.19501 Mdot 0.34003 0.18335 Mdot 0.34189 0.16474 Mdot 0.34375 0.12243 Mdot 0.34561 0.12938 Mdot 0.34747 0.16608 Mdot 0.34933 0.183 Mdot 0.35119 0.19353 Mdot 0.35305 0.20071 Mdot 0.35491 0.2057 Mdot 0.35677 0.20909 Mdot 0.35863 0.21118 Mdot 0.36049 0.21213 Mdot 0.36235 0.21202 Mdot 0.36421 0.21087 Mdot 0.36607 0.20863 Mdot 0.36793 0.20518 Mdot 0.36979 0.20027 Mdot 0.37165 0.19347 Mdot 0.37351 0.18393 Mdot 0.37537 0.1697 Mdot 0.37723 0.14439 Mdot 0.37909 0.01472 Mdot 0.38095 0.14578 Mdot 0.38281 0.16956 Mdot 0.38467 0.18291 Mdot 0.38653 0.19173 Mdot 0.38839 0.19788 Mdot 0.39025 0.20218 Mdot 0.39211 0.20506 Mdot 0.39397 0.20673 Mdot 0.39583 0.20734 Mdot 0.39769 0.20692 Mdot 0.39955 0.20548 Mdot 0.40141 0.20293 Mdot 0.40327 0.19912 Mdot 0.40513 0.19378 Mdot 0.40699 0.18638 Mdot 0.40885 0.17587 Mdot 0.41071 0.15966 Mdot 0.41257 0.12766 Mdot 0.41443 0.09775 Mdot 0.41629 0.14981 Mdot 0.41815 0.16956 Mdot 0.42001 0.18144 Mdot 0.42188 0.18949 Mdot 0.42374 0.19518 Mdot 0.4256 0.19916 Mdot 0.42746 0.2018 Mdot 0.42932 0.20331 Mdot 0.43118 0.20377 Mdot 0.43304 0.20323 Mdot 0.4349 0.20166 Mdot 0.43676 0.19899 Mdot 0.43862 0.19504 Mdot 0.44048 0.1895 Mdot 0.44234 0.18181 Mdot 0.4442 0.1708 Mdot 0.44606 0.15346 Mdot 0.44792 0.11664 Mdot 0.44978 0.10796 Mdot 0.45164 0.15031 Mdot 0.4535 0.16859 Mdot 0.45536 0.1799 Mdot 0.45722 0.18766 Mdot 0.45908 0.19318 Mdot 0.46094 0.19707 Mdot 0.4628 0.19966 Mdot 0.46466 0.20113 Mdot 0.46652 0.20157 Mdot 0.46838 0.20102 Mdot 0.47024 0.19946 Mdot 0.4721 0.19678 Mdot 0.47396 0.19282 Mdot 0.47582 0.18726 Mdot 0.47768 0.17952 Mdot 0.47954 0.16836 Mdot 0.4814 0.15062 Mdot 0.48326 0.11169 Mdot 0.48512 0.11023 Mdot 0.48698 0.15003 Mdot 0.48884 0.16789 Mdot 0.4907 0.17905 Mdot 0.49256 0.18677 Mdot 0.49442 0.19229 Mdot 0.49628 0.1962 Mdot 0.49814 0.19882 Mdot 0.5 0.20034 Mdot 0.50186 0.20083 Mdot 0.50372 0.20034 Mdot 0.50558 0.19882 Mdot 0.50744 0.1962 Mdot 0.5093 0.19229 Mdot 0.51116 0.18677 Mdot 0.51302 0.17905 Mdot 0.51488 0.16789 Mdot 0.51674 0.15003 Mdot 0.5186 0.11023 Mdot 0.52046 0.11169 Mdot 0.52232 0.15062 Mdot 0.52418 0.16836 Mdot 0.52604 0.17952 Mdot 0.5279 0.18726 Mdot 0.52976 0.19282 Mdot 0.53162 0.19678 Mdot 0.53348 0.19946 Mdot 0.53534 0.20102 Mdot 0.5372 0.20157 Mdot 0.53906 0.20113 Mdot 0.54092 0.19966 Mdot 0.54278 0.19707 Mdot 0.54464 0.19318 Mdot 0.5465 0.18766 Mdot 0.54836 0.1799 Mdot 0.55022 0.16859 Mdot 0.55208 0.15031 Mdot 0.55394 0.10796 Mdot 0.5558 0.11664 Mdot 0.55766 0.15346 Mdot 0.55952 0.1708 Mdot 0.56138 0.18181 Mdot 0.56324 0.1895 Mdot 0.5651 0.19504 Mdot 0.56696 0.19899 Mdot 0.56882 0.20166 Mdot 0.57068 0.20323 Mdot 0.57254 0.20377 Mdot 0.5744 0.20331 Mdot 0.57626 0.2018 Mdot 0.57813 0.19916 Mdot 0.57999 0.19518 Mdot 0.58185 0.18949 Mdot 0.58371 0.18144 Mdot 0.58557 0.16956 Mdot 0.58743 0.14981 Mdot 0.58929 0.09775 Mdot 0.59115 0.12766 Mdot 0.59301 0.15966 Mdot 0.59487 0.17587 Mdot 0.59673 0.18638 Mdot 0.59859 0.19378 Mdot 0.60045 0.19912 Mdot 0.60231 0.20293 Mdot 0.60417 0.20548 Mdot 0.60603 0.20692 Mdot 0.60789 0.20734 Mdot 0.60975 0.20673 Mdot 0.61161 0.20506 Mdot 0.61347 0.20218 Mdot 0.61533 0.19788 Mdot 0.61719 0.19173 Mdot 0.61905 0.18291 Mdot 0.62091 0.16956 Mdot 0.62277 0.14578 Mdot 0.62463 0.01472 Mdot 0.62649 0.14439 Mdot 0.62835 0.1697 Mdot 0.63021 0.18393 Mdot 0.63207 0.19347 Mdot 0.63393 0.20027 Mdot 0.63579 0.20518 Mdot 0.63765 0.20863 Mdot 0.63951 0.21087 Mdot 0.64137 0.21202 Mdot 0.64323 0.21213 Mdot 0.64509 0.21118 Mdot 0.64695 0.20909 Mdot 0.64881 0.2057 Mdot 0.65067 0.20071 Mdot 0.65253 0.19353 Mdot 0.65439 0.183 Mdot 0.65625 0.16608 Mdot 0.65811 0.12938 Mdot 0.65997 0.12243 Mdot 0.66183 0.16474 Mdot 0.66369 0.18335 Mdot 0.66555 0.19501 Mdot 0.66741 0.20313 Mdot 0.66927 0.20898 Mdot 0.67113 0.21317 Mdot 0.67299 0.21602 Mdot 0.67485 0.2177 Mdot 0.67671 0.21829 Mdot 0.67857 0.21782 Mdot 0.68043 0.21621 Mdot 0.68229 0.21333 Mdot 0.68415 0.20893 Mdot 0.68601 0.20252 Mdot 0.68787 0.19313 Mdot 0.68973 0.17847 Mdot 0.69159 0.15021 Mdot 0.69345 0.09933 Mdot 0.69531 0.16512 Mdot 0.69717 0.1869 Mdot 0.69903 0.1999 Mdot 0.70089 0.20879 Mdot 0.70275 0.21515 Mdot 0.70461 0.21972 Mdot 0.70647 0.22286 Mdot 0.70833 0.22477 Mdot 0.71019 0.22554 Mdot 0.71205 0.2252 Mdot 0.71391 0.22368 Mdot 0.71577 0.22085 Mdot 0.71763 0.21643 Mdot 0.71949 0.2099 Mdot 0.72135 0.20022 Mdot 0.72321 0.18478 Mdot 0.72507 0.15343 Mdot 0.72693 0.12478 Mdot 0.72879 0.17722 Mdot 0.73065 0.19755 Mdot 0.73251 0.20998 Mdot 0.73438 0.21853 Mdot 0.73624 0.22465 Mdot 0.7381 0.22899 Mdot 0.73996 0.23189 Mdot 0.74182 0.23354 Mdot 0.74368 0.23399 Mdot 0.74554 0.23325 Mdot 0.7474 0.2312 Mdot 0.74926 0.22765 Mdot 0.75112 0.22217 Mdot 0.75298 0.21396 Mdot 0.75484 0.2012 Mdot 0.7567 0.17809 Mdot 0.75856 0.06078 Mdot 0.76042 0.17649 Mdot 0.76228 0.20228 Mdot 0.76414 0.21676 Mdot 0.766 0.22642 Mdot 0.76786 0.23323 Mdot 0.76972 0.23804 Mdot 0.77158 0.24124 Mdot 0.77344 0.24306 Mdot 0.7753 0.24357 Mdot 0.77716 0.24275 Mdot 0.77902 0.24046 Mdot 0.78088 0.23642 Mdot 0.78274 0.23008 Mdot 0.7846 0.22024 Mdot 0.78646 0.20383 Mdot 0.78832 0.16711 Mdot 0.79018 0.16245 Mdot 0.79204 0.20436 Mdot 0.7939 0.22302 Mdot 0.79576 0.23467 Mdot 0.79762 0.24262 Mdot 0.79948 0.24812 Mdot 0.80134 0.25173 Mdot 0.8032 0.2537 Mdot 0.80506 0.2541 Mdot 0.80692 0.25286 Mdot 0.80878 0.24974 Mdot 0.81064 0.24422 Mdot 0.8125 0.23514 Mdot 0.81436 0.21954 Mdot 0.81622 0.18451 Mdot 0.81808 0.17575 Mdot 0.81994 0.21952 Mdot 0.8218 0.2385 Mdot 0.82366 0.25011 Mdot 0.82552 0.25772 Mdot 0.82738 0.26255 Mdot 0.82924 0.26502 Mdot 0.8311 0.26522 Mdot 0.83296 0.26284 Mdot 0.83482 0.25711 Mdot 0.83668 0.24595 Mdot 0.83854 0.22226 Mdot 0.8404 0.1449 Mdot 0.84226 0.23336 Mdot 0.84412 0.25716 Mdot 0.84598 0.27033 Mdot 0.84784 0.27777 Mdot 0.8497 0.28036 Mdot 0.85156 0.2769 Mdot 0.85342 0.26121 Mdot 0.85528 0.16542 Mdot 0.85714 0.283 Mdot 0.859 0.3152 Mdot 0.86086 0.33709 Mdot 0.86272 0.35443 Mdot 0.86458 0.36911 Mdot 0.86644 0.38199 Mdot 0.8683 0.39356 Mdot 0.87016 0.40411 Mdot 0.87202 0.41384 Mdot 0.87388 0.42288 Mdot 0.87574 0.43134 Mdot 0.8776 0.43929 Mdot 0.87946 0.4468 Mdot 0.88132 0.45391 Mdot 0.88318 0.46067 Mdot 0.88504 0.4671 Mdot 0.8869 0.47323 Mdot 0.88876 0.47909 Mdot 0.89063 0.48469 Mdot 0.89249 0.49006 Mdot 0.89435 0.4952 Mdot 0.89621 0.50014 Mdot 0.89807 0.50488 Mdot 0.89993 0.50943 Mdot 0.90179 0.5138 Mdot 0.90365 0.518 Mdot 0.90551 0.52204 Mdot 0.90737 0.52592 Mdot 0.90923 0.52966 Mdot 0.91109 0.53325 Mdot 0.91295 0.5367 Mdot 0.91481 0.54002 Mdot 0.91667 0.54321 Mdot 0.91853 0.54628 Mdot 0.92039 0.54922 Mdot 0.92225 0.55204 Mdot 0.92411 0.55475 Mdot 0.92597 0.55734 Mdot 0.92783 0.55982 Mdot 0.92969 0.5622 Mdot 0.93155 0.56447 Mdot 0.93341 0.56664 Mdot 0.93527 0.56871 Mdot 0.93713 0.57067 Mdot 0.93899 0.57254 Mdot 0.94085 0.57431 Mdot 0.94271 0.57599 Mdot 0.94457 0.57758 Mdot 0.94643 0.57907 Mdot 0.94829 0.58047 Mdot 0.95015 0.58178 Mdot 0.95201 0.58301 Mdot 0.95387 0.58414 Mdot 0.95573 0.58519 Mdot 0.95759 0.58615 Mdot 0.95945 0.58702 Mdot 0.96131 0.58781 Mdot 0.96317 0.58852 Mdot 0.96503 0.58914 Mdot 0.96689 0.58968 Mdot 0.96875 0.59013 Mdot 0.97061 0.5905 Mdot 0.97247 0.59079 Mdot 0.97433 0.591 Mdot 0.97619 0.59112 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc@0001/000?o00008002o`H00_l200;o00<0ool00P02o`@0 1?mi00Co0`02o`800_l200;o0P02o`H00_lY00006`02ob400_l300;o00<0ool00P02o`800_l00`3o o`0400?oN`03o`<00ol00`3oo`0200;o0P04o`@00_lY00006`000ol0000U00;o1@02o`801On900Go 0P02o`@00_l_00006`000ol0000Q00;o1@02o`800_l200CoRP04o`<00_l200;o1002ob/0000K0003 o`0002400_l200;o00<0ool00onI00Go00@0ool00_l[00006`000ol0000U00;o0P04oiT01?l200;o ;P0001/00_lP00;o00<0ool00_l300CoV@04o`800_l00`3oo`02obT0000K0003o`0001d01?l00`3o o`02ojH01ol00`3oo`0V00003P02o`@00_l50003o`0001d00_l300CoY`03o`@00_lV00003@001?l0 0?l20004o`00o`@000?o00007`02o`040?ooojP00ol200;o:00000d000Co003o0P001?l00?l400;o 8002ok400_lX00001`04o`<00_l30004o`00o`@000?o00007P02ok800olW00003@001?l00?l20004 o`00o`@000?o00007P02ok800olW00003@001?l00?l20004o`00o`@000?o00007004ok<01?lU0000 3P02o`@00_l500;o7@02okL00_lU00006`000ol0003l00006`000ol0003l00006`000ol0003l0000 6`000ol0003l00006`02ood0000K0003o`000?`0000K0003o`0001`00_ng00;o9@0001/000?o0000 7002okL00_lU00006`02ood0000K0003o`000?`0000K0003o`000?`0000K0003o`000?`0000K00;o 7002okT00_lT00006`000ol0000K00;o^@02ob@0000>00;o1002o`D000?o0000o00000d000Co003o 0P001?l00?l40003o`000?`0000=0004o`00o`8000Co003o10000ol0000K00;o^@02ob@0000700Co 0P03o`<000Co003o1002oa`00_ni00;o900000d000?o00000`001?l00?l40003o`000?`0000>0003 o`00008000Co003o10000ol0003l00003`02o`<00_l50003o`0001X00_nk00;o8`0001/00_lK00;o ^`02ob<0000K0003o`000?`0000K0003o`0001X00_nk00;o8`0001/000?o00006P02ok/00_lS0000 6`02ood0000K0003o`0001T00_nm00;o8P0001/000?o00006@02okd00_lR00006`000ol0003l0000 6`000ol0000I00;o_@02ob80000K00;o6P02okd00_lR00006`000ol0003l00006`000ol0000H00;o _P02ob80000K0003o`0001P00_nn00;o8P0001/00_lI00;o_`02ob40000K0003o`0001P00_no00;o 8@0000l000?o00000P02o`D000?o00005`02ol000_lQ00003`001Ol0003o008000?o00000P000ol0 000G00;o`002ob40000<00Go0P001?l00?l400;o6002ol400_lP00001`04o`050?l00?l00`001?l0 0?l40003o`0001L00_o100;o800000d000?o0?l00`001?l00?l40003o`0001H00_o200;o800000h0 0_l30004o`00o`@000?o00005P02ol800_lP00003`000ol0000200;o1@000ol0000F00;o``02oal0 000K00;o5`02ol<00_lO00006`000ol0000E00;oa002oal0000K0003o`0001D00_o400;o7`0001/0 00?o00005@02olD00_lN00006`02oaD00oo500;o7P0001/000?o00005002olH00_lN00006`000ol0 000D00;oa`02oad0000K0003o`0001<00oo700;o7@0001/00_lD00;ob002oad0000K0003o`0001<0 0_o900;o700001/000?o00004P03olT00_lL00006`000ol0000B00;obP03oa/0000K0003o`000140 0oo;00;o6`0001/00_lB00;oc002oa/0000=00Co0`02o`D000?o00004@02old00_lJ00003@001?l0 0?l20004o`00o`@000?o00004003old00_lJ00003P000ol000020004o`00o`@000?o00004002olh0 0olI00001`04o`@000Go0000o`020003o`0000800_lA00;oc`02oaT0000@0004o`00o`8000?o0000 0P000ol0000?00?oc`03oaP0000=0004o`00o`8000Co003o10000ol0000?00;od@02oaP0000>00;o 1002o`D000?o00003P03om400olG00006`02o`h00ooC00?o5P0001/000?o00003@03om<00olF0000 6`000ol0000<00?oe@03oaD0000K0003o`0000`00_oG00;o5@0001/00_l<00?o5`05o`800_l400;o 8@04o`<00_l400;o8`02o`@00_l400;o8`000ol0000200;o1002ob001?l400;o1002o`L0000K0003 o`0000X00olJ0005o`000?l00P001?l00?l20003o`0001h000Co003o0P001?l00?l20004o`00ob40 00Co003o0P001?l00?l20004o`00ob8000Go0000o`020004o`00o`8000?o00007P04o`8000Co003o 0P001?l00?l600006`000ol0000900?o6`001Ol0003o008000Co003o0P000ol0000O0003o`000080 00Co003o0P001?l00?lT0004o`00o`8000Co003o0P000ol0000M00Go0P001?l00?l20004o`00ob40 0ol20004o`00o`8000Co003o1P0001/000?o00002004oa/000Go0000o`020004o`00o`8000?o0000 80001Ol0003o008000Co003o0P000ol0000P00;o0`001?l00?l20004o`00oal000Co003o0`001?l0 0?l20004o`00ob001?l20004o`00o`8000Co003o1P0001/000?o00001`04oa`000Go0000o`020004 o`00o`8000?o00008@001?l00?l20004o`00o`8000?o00008P001?l00?l20004o`00o`8000?o0000 7P000ol0o`030004o`00o`8000Co003o80000ol0o`02o`050?l00?l00P001?l00?l600006`02o`L0 1?lK00?o0`001?l00?l20004o`00ob0000Co003o0P001?l00?l20004o`00ob4000Co003o0P001?l0 0?l20004o`00ob400_l30004o`00o`8000Co003o80000ol00004o`8000Co003o0P000ol000040000 6`000ol0000500Co7P000ol0000200;o1002ob800_l400;o1002ob<00_l400;o1002ob<000?o0000 0P02o`@00_lQ00Wo1002o`L0000K0003o`0000@01?oS00Co3@0001/000?o00000P05onD01Ol;0000 6`02o`030?oo00?oj006o`T0000K00Ooj`07o`H0000K00Col@04o`H0000K0003o`000?`0000E0?oo 1Ol100006`000ol000060003o`0000L000?o00001`000ol000060003o`0000L000?o00001`000ol0 00060003o`0000L000?o00001`000ol000060003o`0000L000?o00001`000ol000060003o`0000L0 00?o00001`000ol000060003o`0000L000?o00001`000ol000060003o`0000L000?o00001`000ol0 00060003o`0000L000?o00001`000ol000060003o`0000L000?o00000@0001/000?o0000;@000ol0 000]0003o`0002h000?o0000;@000ol0000]0003o`0000/0000K0003o`000?`0000K0003o`000?`0 003o01/0003o01/0003o01/0003o01/0003o01/0003o01/00000\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-56.2716, -150.837, 2.06991, 0.925712}}]}, Open]], Cell[TextData[ "Beta apears to be underestimated somewhat. The observed sidelobe \ attenuation is less than 80 dB."], "Text", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["deltaBins[att2]"], "Input"], Cell[OutputFormData["\<\ 121.5557618900237\ \>", "\<\ 121.556\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData[ "The transition width evidently accounts for the entire main lobe. "], "Text",\ Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData[ "Evaluation and the Window Method for FIR Digital Filter Design"], "Subsection", Evaluatable->False], Cell[TextData[ "These results makes sense when you consider that Kaiser's application was \ the window method for FIR digital filter design (a topic we will take up if \ there is time). In that application, the filter is obtained by multiplying \ the window function times the ideal impulse response (which is a sinc \ function in the case of an ideal lowpass filter). That means the window \ transform gets convolved with the ideal frequency response. As a result, the \ transition width of the lowpass filter is the whole main lobe width of the \ window. (Think about the convolution of the window transform with a \ rectangular pulse in the frequency domain representing the ideal frequency \ response of a lowpass filter.) Moreover, the stopband of the lowpass filter \ designed in this way will be determined by the tail integral of the window \ transform, not the window transform itself, provided that the main lobe width \ is narrow compared with the desired lowpass filter passband. (Again, think \ about the convolution operation pictorially to see this directly.) The tail \ integral is smaller because the area under the oscillating sidelobes \ partially cancels out under the integration. When the desired filter \ passband is narrow compared with the window transform main lobe, then the \ lowpass filter frequency response starts to look like a delta function \ compared with the window transform. That means the convolution of the two \ will tend to reproduce the window transform. In this situation, the \ transition width is half a main lobe width, the passband with is zero, and \ the stop-band attenuation is approximately given by the window sidelobe \ attenuation rather than the tail integral of the sidelobes. A good reference \ on the window method for digital filter design is Rabiner and Gold '75: \ Theory and Application of Digital Signal Processing, Prentice-Hall."], "Text",\ Evaluatable->False]}, Open]], Cell[CellGroupData[{Cell[TextData["Voice-Quality Audio Example"], "Subsection", Evaluatable->False], Cell[TextData[ "att3 = 60;\t(* desired stop-band attenuation in dB *)"], "Input"], Cell[CellGroupData[{Cell[TextData["beta = goodBeta[att3]"], "Input"], Cell[OutputFormData["\<\ 5.653260000000001\ \>", "\<\ 5.65326\ \>"], "Output", Evaluatable->False]}, Open]], Cell[TextData[ "wu3 = Table[kaiser[n],{n,0,nu}];\nwl3 = Table[kaiser[n],{n,nl,-1}];\nzp = 0 \ * Range[NN-M];\nw3 = Flatten[{wu3,zp,wl3}];\nW3 = fft[w3];\nWdb3 = 20 \ Log[10,Abs[W3]];"], "Input"], Cell[CellGroupData[{Cell[TextData["pw3 = ListPlot[Flatten[{wl3,wu3}]];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.035273 0.014715 8.355805 [ [(5)] 0.20018 0.01472 0 2 Msboxa [(10)] 0.37654 0.01472 0 2 Msboxa [(15)] 0.55291 0.01472 0 2 Msboxa [(20)] 0.72928 0.01472 0 2 Msboxa [(25)] 0.90564 0.01472 0 2 Msboxa [(0.01)] 0.01131 0.09827 1 0 Msboxa [(0.02)] 0.01131 0.18183 1 0 Msboxa [(0.03)] 0.01131 0.26539 1 0 Msboxa [(0.04)] 0.01131 0.34895 1 0 Msboxa [(0.05)] 0.01131 0.43251 1 0 Msboxa [(0.06)] 0.01131 0.51606 1 0 Msboxa [(0.07)] 0.01131 0.59962 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20018 0.01472 moveto 0.20018 0.02097 lineto stroke grestore [(5)] 0.20018 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.37654 0.01472 moveto 0.37654 0.02097 lineto stroke grestore [(10)] 0.37654 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.55291 0.01472 moveto 0.55291 0.02097 lineto stroke grestore [(15)] 0.55291 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.72928 0.01472 moveto 0.72928 0.02097 lineto stroke grestore [(20)] 0.72928 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.90564 0.01472 moveto 0.90564 0.02097 lineto stroke grestore [(25)] 0.90564 0.01472 0 2 Mshowa gsave 0.001 setlinewidth 0.05908 0.01472 moveto 0.05908 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.09436 0.01472 moveto 0.09436 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.12963 0.01472 moveto 0.12963 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.1649 0.01472 moveto 0.1649 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.23545 0.01472 moveto 0.23545 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.27072 0.01472 moveto 0.27072 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.306 0.01472 moveto 0.306 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.34127 0.01472 moveto 0.34127 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.41182 0.01472 moveto 0.41182 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.44709 0.01472 moveto 0.44709 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.48236 0.01472 moveto 0.48236 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.51764 0.01472 moveto 0.51764 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.58818 0.01472 moveto 0.58818 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.62346 0.01472 moveto 0.62346 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.65873 0.01472 moveto 0.65873 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.694 0.01472 moveto 0.694 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.76455 0.01472 moveto 0.76455 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.79982 0.01472 moveto 0.79982 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.8351 0.01472 moveto 0.8351 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.87037 0.01472 moveto 0.87037 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.94092 0.01472 moveto 0.94092 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.97619 0.01472 moveto 0.97619 0.01847 lineto stroke grestore gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.09827 moveto 0.03006 0.09827 lineto stroke grestore [(0.01)] 0.01131 0.09827 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.18183 moveto 0.03006 0.18183 lineto stroke grestore [(0.02)] 0.01131 0.18183 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.26539 moveto 0.03006 0.26539 lineto stroke grestore [(0.03)] 0.01131 0.26539 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.34895 moveto 0.03006 0.34895 lineto stroke grestore [(0.04)] 0.01131 0.34895 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.43251 moveto 0.03006 0.43251 lineto stroke grestore [(0.05)] 0.01131 0.43251 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.51606 moveto 0.03006 0.51606 lineto stroke grestore [(0.06)] 0.01131 0.51606 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.59962 moveto 0.03006 0.59962 lineto stroke grestore [(0.07)] 0.01131 0.59962 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.03143 moveto 0.02756 0.03143 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.04814 moveto 0.02756 0.04814 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.06485 moveto 0.02756 0.06485 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.08156 moveto 0.02756 0.08156 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.11498 moveto 0.02756 0.11498 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1317 moveto 0.02756 0.1317 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.14841 moveto 0.02756 0.14841 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.16512 moveto 0.02756 0.16512 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.19854 moveto 0.02756 0.19854 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.21525 moveto 0.02756 0.21525 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23197 moveto 0.02756 0.23197 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.24868 moveto 0.02756 0.24868 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2821 moveto 0.02756 0.2821 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.29881 moveto 0.02756 0.29881 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.31552 moveto 0.02756 0.31552 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.33224 moveto 0.02756 0.33224 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.36566 moveto 0.02756 0.36566 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.38237 moveto 0.02756 0.38237 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.39908 moveto 0.02756 0.39908 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.41579 moveto 0.02756 0.41579 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44922 moveto 0.02756 0.44922 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.46593 moveto 0.02756 0.46593 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.48264 moveto 0.02756 0.48264 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.49935 moveto 0.02756 0.49935 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53278 moveto 0.02756 0.53278 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.54949 moveto 0.02756 0.54949 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5662 moveto 0.02756 0.5662 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58291 moveto 0.02756 0.58291 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.61633 moveto 0.02756 0.61633 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.05908 0.02672 Mdot 0.09436 0.04568 Mdot 0.12963 0.0739 Mdot 0.1649 0.11206 Mdot 0.20018 0.15999 Mdot 0.23545 0.21654 Mdot 0.27072 0.27958 Mdot 0.306 0.34605 Mdot 0.34127 0.41225 Mdot 0.37654 0.47406 Mdot 0.41182 0.52738 Mdot 0.44709 0.5685 Mdot 0.48236 0.59445 Mdot 0.51764 0.60332 Mdot 0.55291 0.59445 Mdot 0.58818 0.5685 Mdot 0.62346 0.52738 Mdot 0.65873 0.47406 Mdot 0.694 0.41225 Mdot 0.72928 0.34605 Mdot 0.76455 0.27958 Mdot 0.79982 0.21654 Mdot 0.8351 0.15999 Mdot 0.87037 0.11206 Mdot 0.90564 0.0739 Mdot 0.94092 0.04568 Mdot 0.97619 0.02672 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-3.06892, -0.00764875, 0.109816, 0.000463576}}]}, Open]], Cell[CellGroupData[{Cell[TextData["pWdb3 = ListPlot[Wdb3];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.603319 0.005872 [ [(100)] 0.20982 0.60332 0 2 Msboxa [(200)] 0.39583 0.60332 0 2 Msboxa [(300)] 0.58185 0.60332 0 2 Msboxa [(400)] 0.76786 0.60332 0 2 Msboxa [(500)] 0.95387 0.60332 0 2 Msboxa [(-100)] 0.01131 0.0161 1 0 Msboxa [(-80)] 0.01131 0.13355 1 0 Msboxa [(-60)] 0.01131 0.25099 1 0 Msboxa [(-40)] 0.01131 0.36843 1 0 Msboxa [(-20)] 0.01131 0.48588 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.60332 moveto 0.20982 0.60957 lineto stroke grestore [(100)] 0.20982 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.60332 moveto 0.39583 0.60957 lineto stroke grestore [(200)] 0.39583 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.60332 moveto 0.58185 0.60957 lineto stroke grestore [(300)] 0.58185 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.60332 moveto 0.76786 0.60957 lineto stroke grestore [(400)] 0.76786 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.60332 moveto 0.95387 0.60957 lineto stroke grestore [(500)] 0.95387 0.60332 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.60332 moveto 0.06101 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.60332 moveto 0.09821 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.60332 moveto 0.13542 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.60332 moveto 0.17262 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.60332 moveto 0.24702 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.60332 moveto 0.28423 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.60332 moveto 0.32143 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.60332 moveto 0.35863 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.60332 moveto 0.43304 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.60332 moveto 0.47024 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.60332 moveto 0.50744 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.60332 moveto 0.54464 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.60332 moveto 0.61905 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.60332 moveto 0.65625 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.60332 moveto 0.69345 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.60332 moveto 0.73065 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.60332 moveto 0.80506 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.60332 moveto 0.84226 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.60332 moveto 0.87946 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.60332 moveto 0.91667 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.60332 moveto 0.99107 0.60707 lineto stroke grestore gsave 0.002 setlinewidth 0 0.60332 moveto 1 0.60332 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.0161 moveto 0.03006 0.0161 lineto stroke grestore [(-100)] 0.01131 0.0161 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.13355 moveto 0.03006 0.13355 lineto stroke grestore [(-80)] 0.01131 0.13355 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.25099 moveto 0.03006 0.25099 lineto stroke grestore [(-60)] 0.01131 0.25099 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.36843 moveto 0.03006 0.36843 lineto stroke grestore [(-40)] 0.01131 0.36843 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.48588 moveto 0.03006 0.48588 lineto stroke grestore [(-20)] 0.01131 0.48588 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.03959 moveto 0.02756 0.03959 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.06308 moveto 0.02756 0.06308 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.08657 moveto 0.02756 0.08657 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.11006 moveto 0.02756 0.11006 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.15704 moveto 0.02756 0.15704 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.18052 moveto 0.02756 0.18052 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.20401 moveto 0.02756 0.20401 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2275 moveto 0.02756 0.2275 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.27448 moveto 0.02756 0.27448 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.29797 moveto 0.02756 0.29797 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.32146 moveto 0.02756 0.32146 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.34494 moveto 0.02756 0.34494 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.39192 moveto 0.02756 0.39192 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.41541 moveto 0.02756 0.41541 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.4389 moveto 0.02756 0.4389 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.46239 moveto 0.02756 0.46239 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.50936 moveto 0.02756 0.50936 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53285 moveto 0.02756 0.53285 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.55634 moveto 0.02756 0.55634 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.57983 moveto 0.02756 0.57983 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave 0.008 setlinewidth 0.02567 0.60033 Mdot 0.02753 0.60024 Mdot 0.02939 0.59995 Mdot 0.03125 0.59947 Mdot 0.03311 0.5988 Mdot 0.03497 0.59794 Mdot 0.03683 0.59688 Mdot 0.03869 0.59563 Mdot 0.04055 0.59418 Mdot 0.04241 0.59252 Mdot 0.04427 0.59066 Mdot 0.04613 0.58859 Mdot 0.04799 0.58631 Mdot 0.04985 0.58381 Mdot 0.05171 0.58108 Mdot 0.05357 0.57812 Mdot 0.05543 0.57493 Mdot 0.05729 0.57149 Mdot 0.05915 0.56779 Mdot 0.06101 0.56383 Mdot 0.06287 0.55959 Mdot 0.06473 0.55506 Mdot 0.06659 0.55023 Mdot 0.06845 0.54507 Mdot 0.07031 0.53956 Mdot 0.07217 0.53368 Mdot 0.07403 0.52741 Mdot 0.07589 0.5207 Mdot 0.07775 0.51351 Mdot 0.07961 0.5058 Mdot 0.08147 0.4975 Mdot 0.08333 0.48854 Mdot 0.08519 0.47879 Mdot 0.08705 0.46814 Mdot 0.08891 0.45638 Mdot 0.09077 0.44323 Mdot 0.09263 0.42825 Mdot 0.09449 0.41072 Mdot 0.09635 0.38923 Mdot 0.09821 0.36057 Mdot 0.10007 0.31339 Mdot 0.10193 0.22549 Mdot 0.10379 0.31592 Mdot 0.10565 0.33906 Mdot 0.10751 0.3494 Mdot 0.10938 0.35363 Mdot 0.11124 0.35396 Mdot 0.1131 0.35124 Mdot 0.11496 0.34577 Mdot 0.11682 0.33745 Mdot 0.11868 0.3257 Mdot 0.12054 0.30914 Mdot 0.1224 0.2841 Mdot 0.12426 0.23577 Mdot 0.12612 0.19645 Mdot 0.12798 0.26464 Mdot 0.12984 0.28939 Mdot 0.1317 0.30305 Mdot 0.13356 0.31118 Mdot 0.13542 0.31576 Mdot 0.13728 0.31768 Mdot 0.13914 0.31738 Mdot 0.141 0.31504 Mdot 0.14286 0.31066 Mdot 0.14472 0.30404 Mdot 0.14658 0.29472 Mdot 0.14844 0.28175 Mdot 0.1503 0.26301 Mdot 0.15216 0.23228 Mdot 0.15402 0.14727 Mdot 0.15588 0.20444 Mdot 0.15774 0.24489 Mdot 0.1596 0.26488 Mdot 0.16146 0.27706 Mdot 0.16332 0.28486 Mdot 0.16518 0.28966 Mdot 0.16704 0.29215 Mdot 0.1689 0.29267 Mdot 0.17076 0.29137 Mdot 0.17262 0.28827 Mdot 0.17448 0.28324 Mdot 0.17634 0.27596 Mdot 0.1782 0.26582 Mdot 0.18006 0.25157 Mdot 0.18192 0.23026 Mdot 0.18378 0.19182 Mdot 0.18564 0.07887 Mdot 0.1875 0.19972 Mdot 0.18936 0.23069 Mdot 0.19122 0.24796 Mdot 0.19308 0.25904 Mdot 0.19494 0.26637 Mdot 0.1968 0.27103 Mdot 0.19866 0.27358 Mdot 0.20052 0.27429 Mdot 0.20238 0.2733 Mdot 0.20424 0.2706 Mdot 0.2061 0.26608 Mdot 0.20796 0.25945 Mdot 0.20982 0.25017 Mdot 0.21168 0.23717 Mdot 0.21354 0.21802 Mdot 0.2154 0.18538 Mdot 0.21726 0.06817 Mdot 0.21912 0.1723 Mdot 0.22098 0.20923 Mdot 0.22284 0.22879 Mdot 0.2247 0.24127 Mdot 0.22656 0.24966 Mdot 0.22842 0.25523 Mdot 0.23028 0.25863 Mdot 0.23214 0.26018 Mdot 0.234 0.26007 Mdot 0.23586 0.25831 Mdot 0.23772 0.25486 Mdot 0.23958 0.2495 Mdot 0.24144 0.24186 Mdot 0.2433 0.23118 Mdot 0.24516 0.21595 Mdot 0.24702 0.19235 Mdot 0.24888 0.14493 Mdot 0.25074 0.11228 Mdot 0.2526 0.18032 Mdot 0.25446 0.20703 Mdot 0.25632 0.22298 Mdot 0.25818 0.23359 Mdot 0.26004 0.24083 Mdot 0.2619 0.24562 Mdot 0.26376 0.24844 Mdot 0.26563 0.24953 Mdot 0.26749 0.24901 Mdot 0.26935 0.24688 Mdot 0.27121 0.24304 Mdot 0.27307 0.23724 Mdot 0.27493 0.22903 Mdot 0.27679 0.21753 Mdot 0.27865 0.20086 Mdot 0.28051 0.17398 Mdot 0.28237 0.11056 Mdot 0.28423 0.12958 Mdot 0.28609 0.17884 Mdot 0.28795 0.20209 Mdot 0.28981 0.2166 Mdot 0.29167 0.22643 Mdot 0.29353 0.23319 Mdot 0.29539 0.23766 Mdot 0.29725 0.24025 Mdot 0.29911 0.24117 Mdot 0.30097 0.24051 Mdot 0.30283 0.23825 Mdot 0.30469 0.23428 Mdot 0.30655 0.22834 Mdot 0.30841 0.21993 Mdot 0.31027 0.20811 Mdot 0.31213 0.19084 Mdot 0.31399 0.16242 Mdot 0.31585 0.0885 Mdot 0.31771 0.12971 Mdot 0.31957 0.17426 Mdot 0.32143 0.19641 Mdot 0.32329 0.21047 Mdot 0.32515 0.22008 Mdot 0.32701 0.22674 Mdot 0.32887 0.23116 Mdot 0.33073 0.23373 Mdot 0.33259 0.23466 Mdot 0.33445 0.23404 Mdot 0.33631 0.23183 Mdot 0.33817 0.22792 Mdot 0.34003 0.22205 Mdot 0.34189 0.21373 Mdot 0.34375 0.202 Mdot 0.34561 0.18486 Mdot 0.34747 0.15664 Mdot 0.34933 0.08368 Mdot 0.35119 0.12333 Mdot 0.35305 0.16828 Mdot 0.35491 0.19062 Mdot 0.35677 0.20481 Mdot 0.35863 0.21456 Mdot 0.36049 0.22134 Mdot 0.36235 0.22589 Mdot 0.36421 0.2286 Mdot 0.36607 0.22968 Mdot 0.36793 0.22921 Mdot 0.36979 0.22717 Mdot 0.37165 0.22346 Mdot 0.37351 0.21782 Mdot 0.37537 0.20978 Mdot 0.37723 0.19845 Mdot 0.37909 0.18196 Mdot 0.38095 0.15518 Mdot 0.38281 0.0912 Mdot 0.38467 0.11239 Mdot 0.38653 0.16146 Mdot 0.38839 0.1849 Mdot 0.39025 0.19966 Mdot 0.39211 0.20979 Mdot 0.39397 0.21687 Mdot 0.39583 0.22169 Mdot 0.39769 0.22464 Mdot 0.39955 0.22595 Mdot 0.40141 0.22572 Mdot 0.40327 0.22394 Mdot 0.40513 0.22051 Mdot 0.40699 0.21521 Mdot 0.40885 0.20759 Mdot 0.41071 0.19685 Mdot 0.41257 0.1813 Mdot 0.41443 0.15659 Mdot 0.41629 0.10311 Mdot 0.41815 0.09616 Mdot 0.42001 0.15395 Mdot 0.42188 0.17932 Mdot 0.42374 0.19501 Mdot 0.4256 0.20573 Mdot 0.42746 0.21324 Mdot 0.42932 0.21842 Mdot 0.43118 0.22169 Mdot 0.43304 0.2233 Mdot 0.4349 0.22337 Mdot 0.43676 0.22191 Mdot 0.43862 0.21882 Mdot 0.44048 0.21391 Mdot 0.44234 0.20678 Mdot 0.4442 0.19672 Mdot 0.44606 0.18225 Mdot 0.44792 0.15977 Mdot 0.44978 0.11531 Mdot 0.45164 0.07056 Mdot 0.4535 0.14571 Mdot 0.45536 0.17393 Mdot 0.45722 0.19087 Mdot 0.45908 0.20234 Mdot 0.46094 0.2104 Mdot 0.4628 0.216 Mdot 0.46466 0.21965 Mdot 0.46652 0.22161 Mdot 0.46838 0.22202 Mdot 0.47024 0.2209 Mdot 0.4721 0.21818 Mdot 0.47396 0.21369 Mdot 0.47582 0.20709 Mdot 0.47768 0.19773 Mdot 0.47954 0.18434 Mdot 0.4814 0.16397 Mdot 0.48326 0.12654 Mdot 0.48512 0.01472 Mdot 0.48698 0.13663 Mdot 0.48884 0.16877 Mdot 0.4907 0.18728 Mdot 0.49256 0.19965 Mdot 0.49442 0.20833 Mdot 0.49628 0.21442 Mdot 0.49814 0.21848 Mdot 0.5 0.22081 Mdot 0.50186 0.22157 Mdot 0.50372 0.22081 Mdot 0.50558 0.21848 Mdot 0.50744 0.21442 Mdot 0.5093 0.20833 Mdot 0.51116 0.19965 Mdot 0.51302 0.18728 Mdot 0.51488 0.16877 Mdot 0.51674 0.13663 Mdot 0.5186 0.01472 Mdot 0.52046 0.12654 Mdot 0.52232 0.16397 Mdot 0.52418 0.18434 Mdot 0.52604 0.19773 Mdot 0.5279 0.20709 Mdot 0.52976 0.21369 Mdot 0.53162 0.21818 Mdot 0.53348 0.2209 Mdot 0.53534 0.22202 Mdot 0.5372 0.22161 Mdot 0.53906 0.21965 Mdot 0.54092 0.216 Mdot 0.54278 0.2104 Mdot 0.54464 0.20234 Mdot 0.5465 0.19087 Mdot 0.54836 0.17393 Mdot 0.55022 0.14571 Mdot 0.55208 0.07056 Mdot 0.55394 0.11531 Mdot 0.5558 0.15977 Mdot 0.55766 0.18225 Mdot 0.55952 0.19672 Mdot 0.56138 0.20678 Mdot 0.56324 0.21391 Mdot 0.5651 0.21882 Mdot 0.56696 0.22191 Mdot 0.56882 0.22337 Mdot 0.57068 0.2233 Mdot 0.57254 0.22169 Mdot 0.5744 0.21842 Mdot 0.57626 0.21324 Mdot 0.57813 0.20573 Mdot 0.57999 0.19501 Mdot 0.58185 0.17932 Mdot 0.58371 0.15395 Mdot 0.58557 0.09616 Mdot 0.58743 0.10311 Mdot 0.58929 0.15659 Mdot 0.59115 0.1813 Mdot 0.59301 0.19685 Mdot 0.59487 0.20759 Mdot 0.59673 0.21521 Mdot 0.59859 0.22051 Mdot 0.60045 0.22394 Mdot 0.60231 0.22572 Mdot 0.60417 0.22595 Mdot 0.60603 0.22464 Mdot 0.60789 0.22169 Mdot 0.60975 0.21687 Mdot 0.61161 0.20979 Mdot 0.61347 0.19966 Mdot 0.61533 0.1849 Mdot 0.61719 0.16146 Mdot 0.61905 0.11239 Mdot 0.62091 0.0912 Mdot 0.62277 0.15518 Mdot 0.62463 0.18196 Mdot 0.62649 0.19845 Mdot 0.62835 0.20978 Mdot 0.63021 0.21782 Mdot 0.63207 0.22346 Mdot 0.63393 0.22717 Mdot 0.63579 0.22921 Mdot 0.63765 0.22968 Mdot 0.63951 0.2286 Mdot 0.64137 0.22589 Mdot 0.64323 0.22134 Mdot 0.64509 0.21456 Mdot 0.64695 0.20481 Mdot 0.64881 0.19062 Mdot 0.65067 0.16828 Mdot 0.65253 0.12333 Mdot 0.65439 0.08368 Mdot 0.65625 0.15664 Mdot 0.65811 0.18486 Mdot 0.65997 0.202 Mdot 0.66183 0.21373 Mdot 0.66369 0.22205 Mdot 0.66555 0.22792 Mdot 0.66741 0.23183 Mdot 0.66927 0.23404 Mdot 0.67113 0.23466 Mdot 0.67299 0.23373 Mdot 0.67485 0.23116 Mdot 0.67671 0.22674 Mdot 0.67857 0.22008 Mdot 0.68043 0.21047 Mdot 0.68229 0.19641 Mdot 0.68415 0.17426 Mdot 0.68601 0.12971 Mdot 0.68787 0.0885 Mdot 0.68973 0.16242 Mdot 0.69159 0.19084 Mdot 0.69345 0.20811 Mdot 0.69531 0.21993 Mdot 0.69717 0.22834 Mdot 0.69903 0.23428 Mdot 0.70089 0.23825 Mdot 0.70275 0.24051 Mdot 0.70461 0.24117 Mdot 0.70647 0.24025 Mdot 0.70833 0.23766 Mdot 0.71019 0.23319 Mdot 0.71205 0.22643 Mdot 0.71391 0.2166 Mdot 0.71577 0.20209 Mdot 0.71763 0.17884 Mdot 0.71949 0.12958 Mdot 0.72135 0.11056 Mdot 0.72321 0.17398 Mdot 0.72507 0.20086 Mdot 0.72693 0.21753 Mdot 0.72879 0.22903 Mdot 0.73065 0.23724 Mdot 0.73251 0.24304 Mdot 0.73438 0.24688 Mdot 0.73624 0.24901 Mdot 0.7381 0.24953 Mdot 0.73996 0.24844 Mdot 0.74182 0.24562 Mdot 0.74368 0.24083 Mdot 0.74554 0.23359 Mdot 0.7474 0.22298 Mdot 0.74926 0.20703 Mdot 0.75112 0.18032 Mdot 0.75298 0.11228 Mdot 0.75484 0.14493 Mdot 0.7567 0.19235 Mdot 0.75856 0.21595 Mdot 0.76042 0.23118 Mdot 0.76228 0.24186 Mdot 0.76414 0.2495 Mdot 0.766 0.25486 Mdot 0.76786 0.25831 Mdot 0.76972 0.26007 Mdot 0.77158 0.26018 Mdot 0.77344 0.25863 Mdot 0.7753 0.25523 Mdot 0.77716 0.24966 Mdot 0.77902 0.24127 Mdot 0.78088 0.22879 Mdot 0.78274 0.20923 Mdot 0.7846 0.1723 Mdot 0.78646 0.06817 Mdot 0.78832 0.18538 Mdot 0.79018 0.21802 Mdot 0.79204 0.23717 Mdot 0.7939 0.25017 Mdot 0.79576 0.25945 Mdot 0.79762 0.26608 Mdot 0.79948 0.2706 Mdot 0.80134 0.2733 Mdot 0.8032 0.27429 Mdot 0.80506 0.27358 Mdot 0.80692 0.27103 Mdot 0.80878 0.26637 Mdot 0.81064 0.25904 Mdot 0.8125 0.24796 Mdot 0.81436 0.23069 Mdot 0.81622 0.19972 Mdot 0.81808 0.07887 Mdot 0.81994 0.19182 Mdot 0.8218 0.23026 Mdot 0.82366 0.25157 Mdot 0.82552 0.26582 Mdot 0.82738 0.27596 Mdot 0.82924 0.28324 Mdot 0.8311 0.28827 Mdot 0.83296 0.29137 Mdot 0.83482 0.29267 Mdot 0.83668 0.29215 Mdot 0.83854 0.28966 Mdot 0.8404 0.28486 Mdot 0.84226 0.27706 Mdot 0.84412 0.26488 Mdot 0.84598 0.24489 Mdot 0.84784 0.20444 Mdot 0.8497 0.14727 Mdot 0.85156 0.23228 Mdot 0.85342 0.26301 Mdot 0.85528 0.28175 Mdot 0.85714 0.29472 Mdot 0.859 0.30404 Mdot 0.86086 0.31066 Mdot 0.86272 0.31504 Mdot 0.86458 0.31738 Mdot 0.86644 0.31768 Mdot 0.8683 0.31576 Mdot 0.87016 0.31118 Mdot 0.87202 0.30305 Mdot 0.87388 0.28939 Mdot 0.87574 0.26464 Mdot 0.8776 0.19645 Mdot 0.87946 0.23577 Mdot 0.88132 0.2841 Mdot 0.88318 0.30914 Mdot 0.88504 0.3257 Mdot 0.8869 0.33745 Mdot 0.88876 0.34577 Mdot 0.89063 0.35124 Mdot 0.89249 0.35396 Mdot 0.89435 0.35363 Mdot 0.89621 0.3494 Mdot 0.89807 0.33906 Mdot 0.89993 0.31592 Mdot 0.90179 0.22549 Mdot 0.90365 0.31339 Mdot 0.90551 0.36057 Mdot 0.90737 0.38923 Mdot 0.90923 0.41072 Mdot 0.91109 0.42825 Mdot 0.91295 0.44323 Mdot 0.91481 0.45638 Mdot 0.91667 0.46814 Mdot 0.91853 0.47879 Mdot 0.92039 0.48854 Mdot 0.92225 0.4975 Mdot 0.92411 0.5058 Mdot 0.92597 0.51351 Mdot 0.92783 0.5207 Mdot 0.92969 0.52741 Mdot 0.93155 0.53368 Mdot 0.93341 0.53956 Mdot 0.93527 0.54507 Mdot 0.93713 0.55023 Mdot 0.93899 0.55506 Mdot 0.94085 0.55959 Mdot 0.94271 0.56383 Mdot 0.94457 0.56779 Mdot 0.94643 0.57149 Mdot 0.94829 0.57493 Mdot 0.95015 0.57812 Mdot 0.95201 0.58108 Mdot 0.95387 0.58381 Mdot 0.95573 0.58631 Mdot 0.95759 0.58859 Mdot 0.95945 0.59066 Mdot 0.96131 0.59252 Mdot 0.96317 0.59418 Mdot 0.96503 0.59563 Mdot 0.96689 0.59688 Mdot 0.96875 0.59794 Mdot 0.97061 0.5988 Mdot 0.97247 0.59947 Mdot 0.97433 0.59995 Mdot 0.97619 0.60024 Mdot grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00;o1002o`D000?o00007P02oaL00_lc00;o 5`02oc<00_lG00;o9`0001/000?o00007P02od`00_lG00;oC002obL0000K0003o`0005000_l700;o 1`03obT00ol700;o1P02oeX0000K00;oD@02o`L00_l700?o1@02oaX00_l600?o1`02o`H00_mJ0000 6`000ol0001800;o4002o`h00_l700;o2@02o`H00_l>00;o4@02oe40000K0003o`0004P00_l800;o 1P02oaL00_l900;o5P02o`L00_l800;oD@0001/000?o0000DP02ob400_l500;o8@02oe/0000K0003 o`0002l00_l>00;o2002ob400_l700;o1@02o`H00_lR00;o2002o`h00_lh00006`000ol0000_00;o 3P03o`L00_lI00;o1P02oaH00_l700;o6@02o`H01?l>00;o>00001/00_li00;o1P02oaH00_l700;o 00<0ool01002oa/00_l400;o00<0ool01P02oaH00_l700;o@@0001/000?o0000;P02o`P00_lF00;o 1P02o`030?oo00@00_l700;o1`04o`@00_l00`3oo`0700;o1`02o`@01?l700;o5P02o`P00_lg0000 6`000ol0000^00;o5`02o`L01?l700;o4002o`@01?l400;o00<0ool01002oa000_l700Co1`02oaL0 0_lg00006`000ol0000V00;o3P02o`l00_l900;o4002o`L00_lE00;o1`02oa000_l900;o3`02o`h0 0_l_00006`000ol0000G00;o3@02o`h00_lA00;o3@02o`L00_l00`3oo`0300;o1`02o`/00_l600;o 1002o`030?oo00L00_l<00;o4P02o`h00_l=00;o800001/000?o00005`02o`h00_lE00;o00<0ool0 1P02o`@00_l700;o00<0ool01002o`H00_l200;o0`02o`800_l300;o0P02o`800_l200;o1`02o`<0 0_l200;o1P02o`@00_l700Co5P02o`h00_lP00006`02oal00_l700;o5@02o`030?oo00`00_l200;o 1P02o`P00_l200;o0P02o`L00_l300;o1P02o`<00_l200;o1`02o`L00_l00`3oo`0=00Co5P02o`H0 0_lX00006`000ol0000N00;o3`02o`L00_l=00;o00<0ool01`02o`<00_l200;o0P02o`<00_l200;o 0`02o`800_l200;o0P02o`<00_l200;o0`02o`800_l300;o0P02o`800_l300;o1`02o`030?oo00d0 0_l600;o3`02obP0000K0003o`0002l00_l700;o3@02o`030?oo00<00_l200;o0`02o`800_l200;o 0`02o`030?oo00@00_l0103oool200?o00<0ool00`03o`030?oo00<00_l200;o0`02o`800_l200;o 0`02o`800_l300;o00<0ool03@02o`H00_li00006`000ol0000]00;o1`02o`H00_l00`3oo`0<00;o 0P02o`800_l300;o0P02o`<01Ol400;o00<0ool01002o`030?oo00@00_l00`3oo`0300;o00@0oooo 0`02o`030?oo00@00_l200;o0P02o`/00_l200;o1P02o`H00_lg00006`000ol0000]00;o1`02o`H0 0_l00`3oo`0300;o0P02o`800_l400;o00<0ool00`06o`@01?l400Go1004o`D01Ol400Co1002o`03 0?oo00@00_l00`3oo`0300;o0P02o`<00_l200;o0P02o`H00_l600;o=`0001/000?o00004002obL0 0_l;00;o0P02o`800_l400;o00<0ool01004o`D01?l500?o1@04o`H00ol500Co1005o`@00_l00`3o o`0300;o0P02o`<00_l;00;o9P02oaX0000K00;o4@02oah00_l700;o0P02o`<00_l200;o0`02o`03 0?oo00@01Ol400Co1@03ob400_l600?o1@05o`@00_l00`3oo`0300;o0P02o`800_l300;o1`02oad0 0_lJ00006`000ol0000N00;o1@04o`L00_l300;o0P02o`800_l300;o0P02o`<01Ol500?o@`03o`D0 1Ol300;o00@0oooo0P02o`<00_l200;o0`02o`L00ol600;o9`0001/000?o00005P02o`H00_l500Co 1002o`H00_l200;o0P02o`<01Ol400CoE004o`D01?l400;o0P02o`800_l600;o1003o`H00_l500;o 800001/000?o00005P02oaD00_l00`3oo`0800;o00<0ool01004o`D00omE00;o1P04o`@00_l00`3o o`0700;o0P02oa@00_lP00003P02o`@00_l50003o`0001l00_l?00;o0`02o`<01?l500CoI@04o`@0 0_l00`3oo`0300;o0P02oa000_lX00003@001?l00?l20004o`00o`@000?o00007`02o`L00_l;00;o 0`04ogH01Ol300;o2`02o`L00_lX00003@001?l00?l20004o`00o`@00_lV00;o00<0ool00`02o`80 0_l00`3oo`0400CoM`04o`<00_l200;o0P02o`<00_l00`3oo`0^00001`04o`800ol30004o`00o`@0 00?o00009@02o`H00_l200;o00<0ool01@02ogT00_l400Ko0P02o`H00_l^00003@000ol000030004 o`00o`@000?o0000:002o`800_l300GoQ`04o`@00_l200;o<@0000h000?o00000P001?l00?l40003 o`0001d00_l900;o0P02o`@00on800Co1002o`800_l900;o9P0000l00_l300;o1@000ol0000G00;o 1004o`<00_l300;o00<0ool0U`02o`030?oo00800_l300;o00<0ool00`02ob40000K0003o`0001L0 0_l600;o0`02o`<01OnG00Go0P02o`<00_l600;o8@0001/000?o00009002o`<01?nI00Co0`02obd0 000K00;o8@02o`800_l400?oV@03o`@00_l200;o:@0001/000?o00007@02o`040?oo00;oZ002o`80 0_l00`3oo`0V00006`000ol0000F00;o1@02o`040?oo00;oZ002o`030?oo00800_l500;o7`0001/0 00?o00005P04o`H01OnY00Co1`04oal0000K0003o`0001P00_l200;o0`04ojT01?l300;o0P02ob40 000K0003o`0001`00_l300?oZ`02o`@00_lU00006`02oaT00_nn00;o8P0001/000?o00006002o`80 0_ng00;o00<0ool08P0001/000?o00005@02o`@00ong00?o0`02oal0000K0003o`0001000_l300;o 0P04okT01?l00`3oo`0400;o6@0001/000?o00004003o`H01?ni00Co1P03oaT0000K0003o`000140 0_l600Co^@04o`H00_lJ00006`02oaH00_o500;o7P0001/000?o00005@02olD00_lN00006`000ol0 003l00006`000ol0000D00;oaP02oah0000K0003o`0001400_l00`3oo`3600;o00<0ool06`0001/0 00?o00004@02ol`00_lK00006`02oaD00_o700;o7@0001/000?o00004P04olL01?lK00006`000ol0 000B00?ob004oa/0000?0003o`0000800_l50003o`0001001Oo900;o00<0ool06@0000l000Go0000 o`020003o`00008000?o00004002oll00_lI00003005o`8000Co003o10000ol0003l00001`04o`05 0?l00?l00`001?l00?l400;oo@0000d000?o0?l00`001?l00?l40003o`000?`0000>00;o0`001?l0 0?l40003o`000?`0000?0003o`0000800_l50003o`000?`0000K0003o`000?`0000K0003o`0000l0 0_oA00;o600001/00_l@00;od@02oaP0000K0003o`000?`0000K0003o`000?`0000K0003o`000?`0 000K0003o`0000l00_oA00;o600001/000?o00003`02om400_lH00006`02ood0000K0003o`000?`0 000K0003o`000?`0000K0003o`0000h00_oC00;o5`0001/000?o00003P02om<00_lG00006`000ol0 003l00006`02ood0000K0003o`0000h00_oC00;o5`0001/000?o00003P02om<00_lG00006`000ol0 003l00006`000ol0000=00;oe@02oaH0000K0003o`0000d00_oE00;o5P0001/00_om00006`000ol0 000=00;oe@02oaH0000K0003o`0000d00_oE00;o5P0001/000?o0000o00000d01?l300;o1@000ol0 000<00;oe`02oaD0000=0004o`00o`8000Co003o10000ol0000<00;oe`02oaD0000>0003o`000080 00Co003o1002ood0000700Co10001Ol0003o008000?o00000P000ol0000<00;oe`02oaD0000@0004 o`00o`8000?o00000P000ol0000<00;oe`02oaD0000=0004o`00o`8000Co003o10000ol0000;00;o f@02oa@0000>00;o1002o`D000?o00002`02omT00_lD00006`000ol0000;00;of@02oa@0000K0003 o`0000/00_oI00;o500001/00_l;00;of`02oa<0000K0003o`0000X00_oK00;o4`0001/000?o0000 2P02om/00_lC00006`000ol0000:00;of`02oa<0000K0003o`0000T00_oL00;o4`0001/000?o0000 2@02om`00olB00006`02o`X00_oM00;o4P0001/000?o00002002omh00_lB00006`000ol0000800;o gP03oa40000K0003o`0000P00_oO00;o4@0001/000?o00001`02oa`01Ol200;o1002ob401?l300;o 1002ob<00_l400;o1002ob<000?o00000P02o`@00_lQ00Go0P02o`@00_l700006`000ol0000700;o 7P001Ol0003o008000Co003o0P000ol0000N0004o`00o`8000Co003o0P001?l00?lQ0004o`00o`80 00Co003o0P001?l00?lR0005o`000?l00P001?l00?l20003o`0002401?l20004o`00o`8000?o0000 100001/00_l700?o7P001Ol0003o008000Co003o0P000ol0000O0003o`00008000Co003o0P001?l0 0?lT0004o`00o`8000Co003o0P000ol0000M00Go0P001?l00?l20004o`00ob<01?l20004o`00o`80 00?o0000100001/000?o00001P02oal000Go0000o`020004o`00o`8000?o000080001Ol0003o0080 00Co003o0P000ol0000P00;o0`001?l00?l20004o`00oal000Co003o0`001?l00?l20004o`00ob00 0ol0103oool20004o`00o`8000?o0000100001/000?o00001@03oal000Go0000o`020004o`00o`80 00?o00008@001?l00?l20004o`00o`8000?o00008P001?l00?l20004o`00o`8000?o00007P000ol0 o`030004o`00o`8000Co003o80000ol0000200;o0P001?l00?l20003o`0000@0000K0003o`0000D0 0_lN00?o0`001?l00?l20004o`00ob0000Co003o0P001?l00?l20004o`00ob4000Co003o0P001?l0 0?l20004o`00ob400_l30004o`00o`8000Co003o80000ol0000200?o00D0o`00o`020003o`0000@0 000K0003o`0000@00olP0003o`0000800_l400;o8P02o`@00_l400;o8`02o`@00_l400;o8`000ol0 000200;o1002ob401?l200?o1002o`L0000K0003o`0000@00_oV00?o3@0001/00_l400?oi`03o``0 000K0003o`0000800ooX00?o300001/000?o00000P02onX00ol;00006`000ol00004on/01?l90000 6`06ond01Ol700006`05onl01Ol600005@3oo`Go0@0001/000?o00001P000ol000070003o`0000L0 00?o00001P000ol000070003o`0000L000?o00001P000ol000070003o`0000L000?o00001P000ol0 00070003o`0000L000?o00001P000ol000070003o`0000L000?o00001P000ol000070003o`0000L0 00?o00001P000ol000070003o`0000L000?o00001P000ol000070003o`0000L000?o00001P000ol0 00070003o`000040000K0003o`0002d000?o0000;@000ol0000^0003o`0002d000?o0000;@000ol0 000;00006`000ol0003l00006`000ol0003l0000o`0K0000o`0K0000o`0K0000o`0K0000o`0K0000 \ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-56.2716, -107.181, 2.06991, 0.65566}}]}, Open]]}, Open]], Cell[CellGroupData[{Cell[TextData["Comparison of Examples"], "Subsection", Evaluatable->False], Cell[CellGroupData[{Cell[TextData["Show[pw2,pw3];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.035273 0.014715 8.355805 [ [(5)] 0.20018 0.01472 0 2 Msboxa [(10)] 0.37654 0.01472 0 2 Msboxa [(15)] 0.55291 0.01472 0 2 Msboxa [(20)] 0.72928 0.01472 0 2 Msboxa [(25)] 0.90564 0.01472 0 2 Msboxa [(0.01)] 0.01131 0.09827 1 0 Msboxa [(0.02)] 0.01131 0.18183 1 0 Msboxa [(0.03)] 0.01131 0.26539 1 0 Msboxa [(0.04)] 0.01131 0.34895 1 0 Msboxa [(0.05)] 0.01131 0.43251 1 0 Msboxa [(0.06)] 0.01131 0.51606 1 0 Msboxa [(0.07)] 0.01131 0.59962 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20018 0.01472 moveto 0.20018 0.02097 lineto stroke grestore [(5)] 0.20018 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.37654 0.01472 moveto 0.37654 0.02097 lineto stroke grestore [(10)] 0.37654 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.55291 0.01472 moveto 0.55291 0.02097 lineto stroke grestore [(15)] 0.55291 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.72928 0.01472 moveto 0.72928 0.02097 lineto stroke grestore [(20)] 0.72928 0.01472 0 2 Mshowa gsave 0.002 setlinewidth 0.90564 0.01472 moveto 0.90564 0.02097 lineto stroke grestore [(25)] 0.90564 0.01472 0 2 Mshowa gsave 0.001 setlinewidth 0.05908 0.01472 moveto 0.05908 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.09436 0.01472 moveto 0.09436 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.12963 0.01472 moveto 0.12963 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.1649 0.01472 moveto 0.1649 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.23545 0.01472 moveto 0.23545 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.27072 0.01472 moveto 0.27072 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.306 0.01472 moveto 0.306 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.34127 0.01472 moveto 0.34127 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.41182 0.01472 moveto 0.41182 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.44709 0.01472 moveto 0.44709 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.48236 0.01472 moveto 0.48236 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.51764 0.01472 moveto 0.51764 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.58818 0.01472 moveto 0.58818 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.62346 0.01472 moveto 0.62346 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.65873 0.01472 moveto 0.65873 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.694 0.01472 moveto 0.694 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.76455 0.01472 moveto 0.76455 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.79982 0.01472 moveto 0.79982 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.8351 0.01472 moveto 0.8351 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.87037 0.01472 moveto 0.87037 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.94092 0.01472 moveto 0.94092 0.01847 lineto stroke grestore gsave 0.001 setlinewidth 0.97619 0.01472 moveto 0.97619 0.01847 lineto stroke grestore gsave 0.002 setlinewidth 0 0.01472 moveto 1 0.01472 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.09827 moveto 0.03006 0.09827 lineto stroke grestore [(0.01)] 0.01131 0.09827 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.18183 moveto 0.03006 0.18183 lineto stroke grestore [(0.02)] 0.01131 0.18183 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.26539 moveto 0.03006 0.26539 lineto stroke grestore [(0.03)] 0.01131 0.26539 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.34895 moveto 0.03006 0.34895 lineto stroke grestore [(0.04)] 0.01131 0.34895 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.43251 moveto 0.03006 0.43251 lineto stroke grestore [(0.05)] 0.01131 0.43251 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.51606 moveto 0.03006 0.51606 lineto stroke grestore [(0.06)] 0.01131 0.51606 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.59962 moveto 0.03006 0.59962 lineto stroke grestore [(0.07)] 0.01131 0.59962 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.03143 moveto 0.02756 0.03143 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.04814 moveto 0.02756 0.04814 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.06485 moveto 0.02756 0.06485 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.08156 moveto 0.02756 0.08156 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.11498 moveto 0.02756 0.11498 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.1317 moveto 0.02756 0.1317 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.14841 moveto 0.02756 0.14841 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.16512 moveto 0.02756 0.16512 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.19854 moveto 0.02756 0.19854 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.21525 moveto 0.02756 0.21525 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23197 moveto 0.02756 0.23197 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.24868 moveto 0.02756 0.24868 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.2821 moveto 0.02756 0.2821 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.29881 moveto 0.02756 0.29881 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.31552 moveto 0.02756 0.31552 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.33224 moveto 0.02756 0.33224 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.36566 moveto 0.02756 0.36566 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.38237 moveto 0.02756 0.38237 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.39908 moveto 0.02756 0.39908 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.41579 moveto 0.02756 0.41579 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.44922 moveto 0.02756 0.44922 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.46593 moveto 0.02756 0.46593 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.48264 moveto 0.02756 0.48264 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.49935 moveto 0.02756 0.49935 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53278 moveto 0.02756 0.53278 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.54949 moveto 0.02756 0.54949 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5662 moveto 0.02756 0.5662 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58291 moveto 0.02756 0.58291 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.61633 moveto 0.02756 0.61633 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave gsave gsave 0.008 setlinewidth 0.05908 0.01491 Mdot 0.09436 0.01671 Mdot 0.12963 0.02215 Mdot 0.1649 0.03435 Mdot 0.20018 0.05704 Mdot 0.23545 0.09375 Mdot 0.27072 0.14672 Mdot 0.306 0.2158 Mdot 0.34127 0.29759 Mdot 0.37654 0.38535 Mdot 0.41182 0.46969 Mdot 0.44709 0.5401 Mdot 0.48236 0.5869 Mdot 0.51764 0.60332 Mdot 0.55291 0.5869 Mdot 0.58818 0.5401 Mdot 0.62346 0.46969 Mdot 0.65873 0.38535 Mdot 0.694 0.29759 Mdot 0.72928 0.2158 Mdot 0.76455 0.14672 Mdot 0.79982 0.09375 Mdot 0.8351 0.05704 Mdot 0.87037 0.03435 Mdot 0.90564 0.02215 Mdot 0.94092 0.01671 Mdot 0.97619 0.01491 Mdot grestore grestore gsave gsave 0.008 setlinewidth 0.05908 0.02672 Mdot 0.09436 0.04568 Mdot 0.12963 0.0739 Mdot 0.1649 0.11206 Mdot 0.20018 0.15999 Mdot 0.23545 0.21654 Mdot 0.27072 0.27958 Mdot 0.306 0.34605 Mdot 0.34127 0.41225 Mdot 0.37654 0.47406 Mdot 0.41182 0.52738 Mdot 0.44709 0.5685 Mdot 0.48236 0.59445 Mdot 0.51764 0.60332 Mdot 0.55291 0.59445 Mdot 0.58818 0.5685 Mdot 0.62346 0.52738 Mdot 0.65873 0.47406 Mdot 0.694 0.41225 Mdot 0.72928 0.34605 Mdot 0.76455 0.27958 Mdot 0.79982 0.21654 Mdot 0.8351 0.15999 Mdot 0.87037 0.11206 Mdot 0.90564 0.0739 Mdot 0.94092 0.04568 Mdot 0.97619 0.02672 Mdot grestore grestore grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-3.06892, -0.00764875, 0.109816, 0.000463576}}]}, Open]], Cell[CellGroupData[{Cell[TextData["Show[pWdb2,pWdb3];"], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 0.61803 MathPictureStart /Courier findfont 10 scalefont setfont % Scaling calculations 0.02381 0.00186 0.603319 0.004159 [ [(100)] 0.20982 0.60332 0 2 Msboxa [(200)] 0.39583 0.60332 0 2 Msboxa [(300)] 0.58185 0.60332 0 2 Msboxa [(400)] 0.76786 0.60332 0 2 Msboxa [(500)] 0.95387 0.60332 0 2 Msboxa [(-140)] 0.01131 0.02105 1 0 Msboxa [(-120)] 0.01131 0.10423 1 0 Msboxa [(-100)] 0.01131 0.18741 1 0 Msboxa [(-80)] 0.01131 0.2706 1 0 Msboxa [(-60)] 0.01131 0.35378 1 0 Msboxa [(-40)] 0.01131 0.43696 1 0 Msboxa [(-20)] 0.01131 0.52014 1 0 Msboxa [ -0.001 -0.001 0 0 ] [ 1.001 0.61903 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath %%Object: Graphics [ ] 0 setdash 0 setgray gsave gsave 0.002 setlinewidth 0.20982 0.60332 moveto 0.20982 0.60957 lineto stroke grestore [(100)] 0.20982 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.39583 0.60332 moveto 0.39583 0.60957 lineto stroke grestore [(200)] 0.39583 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.58185 0.60332 moveto 0.58185 0.60957 lineto stroke grestore [(300)] 0.58185 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.76786 0.60332 moveto 0.76786 0.60957 lineto stroke grestore [(400)] 0.76786 0.60332 0 2 Mshowa gsave 0.002 setlinewidth 0.95387 0.60332 moveto 0.95387 0.60957 lineto stroke grestore [(500)] 0.95387 0.60332 0 2 Mshowa gsave 0.001 setlinewidth 0.06101 0.60332 moveto 0.06101 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.09821 0.60332 moveto 0.09821 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.13542 0.60332 moveto 0.13542 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.17262 0.60332 moveto 0.17262 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.24702 0.60332 moveto 0.24702 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.28423 0.60332 moveto 0.28423 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.32143 0.60332 moveto 0.32143 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.35863 0.60332 moveto 0.35863 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.43304 0.60332 moveto 0.43304 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.47024 0.60332 moveto 0.47024 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.50744 0.60332 moveto 0.50744 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.54464 0.60332 moveto 0.54464 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.61905 0.60332 moveto 0.61905 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.65625 0.60332 moveto 0.65625 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.69345 0.60332 moveto 0.69345 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.73065 0.60332 moveto 0.73065 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.80506 0.60332 moveto 0.80506 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.84226 0.60332 moveto 0.84226 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.87946 0.60332 moveto 0.87946 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.91667 0.60332 moveto 0.91667 0.60707 lineto stroke grestore gsave 0.001 setlinewidth 0.99107 0.60332 moveto 0.99107 0.60707 lineto stroke grestore gsave 0.002 setlinewidth 0 0.60332 moveto 1 0.60332 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0.02105 moveto 0.03006 0.02105 lineto stroke grestore [(-140)] 0.01131 0.02105 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.10423 moveto 0.03006 0.10423 lineto stroke grestore [(-120)] 0.01131 0.10423 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.18741 moveto 0.03006 0.18741 lineto stroke grestore [(-100)] 0.01131 0.18741 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.2706 moveto 0.03006 0.2706 lineto stroke grestore [(-80)] 0.01131 0.2706 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.35378 moveto 0.03006 0.35378 lineto stroke grestore [(-60)] 0.01131 0.35378 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.43696 moveto 0.03006 0.43696 lineto stroke grestore [(-40)] 0.01131 0.43696 1 0 Mshowa gsave 0.002 setlinewidth 0.02381 0.52014 moveto 0.03006 0.52014 lineto stroke grestore [(-20)] 0.01131 0.52014 1 0 Mshowa gsave 0.001 setlinewidth 0.02381 0.03769 moveto 0.02756 0.03769 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.05432 moveto 0.02756 0.05432 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.07096 moveto 0.02756 0.07096 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.0876 moveto 0.02756 0.0876 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.12087 moveto 0.02756 0.12087 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.13751 moveto 0.02756 0.13751 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.15414 moveto 0.02756 0.15414 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.17078 moveto 0.02756 0.17078 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.20405 moveto 0.02756 0.20405 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.22069 moveto 0.02756 0.22069 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.23732 moveto 0.02756 0.23732 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.25396 moveto 0.02756 0.25396 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.28723 moveto 0.02756 0.28723 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.30387 moveto 0.02756 0.30387 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.3205 moveto 0.02756 0.3205 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.33714 moveto 0.02756 0.33714 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.37041 moveto 0.02756 0.37041 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.38705 moveto 0.02756 0.38705 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.40368 moveto 0.02756 0.40368 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.42032 moveto 0.02756 0.42032 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.45359 moveto 0.02756 0.45359 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.47023 moveto 0.02756 0.47023 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.48687 moveto 0.02756 0.48687 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.5035 moveto 0.02756 0.5035 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.53677 moveto 0.02756 0.53677 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.55341 moveto 0.02756 0.55341 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.57005 moveto 0.02756 0.57005 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.58668 moveto 0.02756 0.58668 lineto stroke grestore gsave 0.001 setlinewidth 0.02381 0.00442 moveto 0.02756 0.00442 lineto stroke grestore gsave 0.002 setlinewidth 0.02381 0 moveto 0.02381 0.61803 lineto stroke grestore grestore 0 0 moveto 1 0 lineto 1 0.61803 lineto 0 0.61803 lineto closepath clip newpath gsave gsave gsave 0.008 setlinewidth 0.02567 0.59116 Mdot 0.02753 0.59112 Mdot 0.02939 0.591 Mdot 0.03125 0.59079 Mdot 0.03311 0.5905 Mdot 0.03497 0.59013 Mdot 0.03683 0.58968 Mdot 0.03869 0.58914 Mdot 0.04055 0.58852 Mdot 0.04241 0.58781 Mdot 0.04427 0.58702 Mdot 0.04613 0.58615 Mdot 0.04799 0.58519 Mdot 0.04985 0.58414 Mdot 0.05171 0.58301 Mdot 0.05357 0.58178 Mdot 0.05543 0.58047 Mdot 0.05729 0.57907 Mdot 0.05915 0.57758 Mdot 0.06101 0.57599 Mdot 0.06287 0.57431 Mdot 0.06473 0.57254 Mdot 0.06659 0.57067 Mdot 0.06845 0.56871 Mdot 0.07031 0.56664 Mdot 0.07217 0.56447 Mdot 0.07403 0.5622 Mdot 0.07589 0.55982 Mdot 0.07775 0.55734 Mdot 0.07961 0.55475 Mdot 0.08147 0.55204 Mdot 0.08333 0.54922 Mdot 0.08519 0.54628 Mdot 0.08705 0.54321 Mdot 0.08891 0.54002 Mdot 0.09077 0.5367 Mdot 0.09263 0.53325 Mdot 0.09449 0.52966 Mdot 0.09635 0.52592 Mdot 0.09821 0.52204 Mdot 0.10007 0.518 Mdot 0.10193 0.5138 Mdot 0.10379 0.50943 Mdot 0.10565 0.50488 Mdot 0.10751 0.50014 Mdot 0.10938 0.4952 Mdot 0.11124 0.49006 Mdot 0.1131 0.48469 Mdot 0.11496 0.47909 Mdot 0.11682 0.47323 Mdot 0.11868 0.4671 Mdot 0.12054 0.46067 Mdot 0.1224 0.45391 Mdot 0.12426 0.4468 Mdot 0.12612 0.43929 Mdot 0.12798 0.43134 Mdot 0.12984 0.42288 Mdot 0.1317 0.41384 Mdot 0.13356 0.40411 Mdot 0.13542 0.39356 Mdot 0.13728 0.38199 Mdot 0.13914 0.36911 Mdot 0.141 0.35443 Mdot 0.14286 0.33709 Mdot 0.14472 0.3152 Mdot 0.14658 0.283 Mdot 0.14844 0.16542 Mdot 0.1503 0.26121 Mdot 0.15216 0.2769 Mdot 0.15402 0.28036 Mdot 0.15588 0.27777 Mdot 0.15774 0.27033 Mdot 0.1596 0.25716 Mdot 0.16146 0.23336 Mdot 0.16332 0.1449 Mdot 0.16518 0.22226 Mdot 0.16704 0.24595 Mdot 0.1689 0.25711 Mdot 0.17076 0.26284 Mdot 0.17262 0.26522 Mdot 0.17448 0.26502 Mdot 0.17634 0.26255 Mdot 0.1782 0.25772 Mdot 0.18006 0.25011 Mdot 0.18192 0.2385 Mdot 0.18378 0.21952 Mdot 0.18564 0.17575 Mdot 0.1875 0.18451 Mdot 0.18936 0.21954 Mdot 0.19122 0.23514 Mdot 0.19308 0.24422 Mdot 0.19494 0.24974 Mdot 0.1968 0.25286 Mdot 0.19866 0.2541 Mdot 0.20052 0.2537 Mdot 0.20238 0.25173 Mdot 0.20424 0.24812 Mdot 0.2061 0.24262 Mdot 0.20796 0.23467 Mdot 0.20982 0.22302 Mdot 0.21168 0.20436 Mdot 0.21354 0.16245 Mdot 0.2154 0.16711 Mdot 0.21726 0.20383 Mdot 0.21912 0.22024 Mdot 0.22098 0.23008 Mdot 0.22284 0.23642 Mdot 0.2247 0.24046 Mdot 0.22656 0.24275 Mdot 0.22842 0.24357 Mdot 0.23028 0.24306 Mdot 0.23214 0.24124 Mdot 0.234 0.23804 Mdot 0.23586 0.23323 Mdot 0.23772 0.22642 Mdot 0.23958 0.21676 Mdot 0.24144 0.20228 Mdot 0.2433 0.17649 Mdot 0.24516 0.06078 Mdot 0.24702 0.17809 Mdot 0.24888 0.2012 Mdot 0.25074 0.21396 Mdot 0.2526 0.22217 Mdot 0.25446 0.22765 Mdot 0.25632 0.2312 Mdot 0.25818 0.23325 Mdot 0.26004 0.23399 Mdot 0.2619 0.23354 Mdot 0.26376 0.23189 Mdot 0.26563 0.22899 Mdot 0.26749 0.22465 Mdot 0.26935 0.21853 Mdot 0.27121 0.20998 Mdot 0.27307 0.19755 Mdot 0.27493 0.17722 Mdot 0.27679 0.12478 Mdot 0.27865 0.15343 Mdot 0.28051 0.18478 Mdot 0.28237 0.20022 Mdot 0.28423 0.2099 Mdot 0.28609 0.21643 Mdot 0.28795 0.22085 Mdot 0.28981 0.22368 Mdot 0.29167 0.2252 Mdot 0.29353 0.22554 Mdot 0.29539 0.22477 Mdot 0.29725 0.22286 Mdot 0.29911 0.21972 Mdot 0.30097 0.21515 Mdot 0.30283 0.20879 Mdot 0.30469 0.1999 Mdot 0.30655 0.1869 Mdot 0.30841 0.16512 Mdot 0.31027 0.09933 Mdot 0.31213 0.15021 Mdot 0.31399 0.17847 Mdot 0.31585 0.19313 Mdot 0.31771 0.20252 Mdot 0.31957 0.20893 Mdot 0.32143 0.21333 Mdot 0.32329 0.21621 Mdot 0.32515 0.21782 Mdot 0.32701 0.21829 Mdot 0.32887 0.2177 Mdot 0.33073 0.21602 Mdot 0.33259 0.21317 Mdot 0.33445 0.20898 Mdot 0.33631 0.20313 Mdot 0.33817 0.19501 Mdot 0.34003 0.18335 Mdot 0.34189 0.16474 Mdot 0.34375 0.12243 Mdot 0.34561 0.12938 Mdot 0.34747 0.16608 Mdot 0.34933 0.183 Mdot 0.35119 0.19353 Mdot 0.35305 0.20071 Mdot 0.35491 0.2057 Mdot 0.35677 0.20909 Mdot 0.35863 0.21118 Mdot 0.36049 0.21213 Mdot 0.36235 0.21202 Mdot 0.36421 0.21087 Mdot 0.36607 0.20863 Mdot 0.36793 0.20518 Mdot 0.36979 0.20027 Mdot 0.37165 0.19347 Mdot 0.37351 0.18393 Mdot 0.37537 0.1697 Mdot 0.37723 0.14439 Mdot 0.37909 0.01472 Mdot 0.38095 0.14578 Mdot 0.38281 0.16956 Mdot 0.38467 0.18291 Mdot 0.38653 0.19173 Mdot 0.38839 0.19788 Mdot 0.39025 0.20218 Mdot 0.39211 0.20506 Mdot 0.39397 0.20673 Mdot 0.39583 0.20734 Mdot 0.39769 0.20692 Mdot 0.39955 0.20548 Mdot 0.40141 0.20293 Mdot 0.40327 0.19912 Mdot 0.40513 0.19378 Mdot 0.40699 0.18638 Mdot 0.40885 0.17587 Mdot 0.41071 0.15966 Mdot 0.41257 0.12766 Mdot 0.41443 0.09775 Mdot 0.41629 0.14981 Mdot 0.41815 0.16956 Mdot 0.42001 0.18144 Mdot 0.42188 0.18949 Mdot 0.42374 0.19518 Mdot 0.4256 0.19916 Mdot 0.42746 0.2018 Mdot 0.42932 0.20331 Mdot 0.43118 0.20377 Mdot 0.43304 0.20323 Mdot 0.4349 0.20166 Mdot 0.43676 0.19899 Mdot 0.43862 0.19504 Mdot 0.44048 0.1895 Mdot 0.44234 0.18181 Mdot 0.4442 0.1708 Mdot 0.44606 0.15346 Mdot 0.44792 0.11664 Mdot 0.44978 0.10796 Mdot 0.45164 0.15031 Mdot 0.4535 0.16859 Mdot 0.45536 0.1799 Mdot 0.45722 0.18766 Mdot 0.45908 0.19318 Mdot 0.46094 0.19707 Mdot 0.4628 0.19966 Mdot 0.46466 0.20113 Mdot 0.46652 0.20157 Mdot 0.46838 0.20102 Mdot 0.47024 0.19946 Mdot 0.4721 0.19678 Mdot 0.47396 0.19282 Mdot 0.47582 0.18726 Mdot 0.47768 0.17952 Mdot 0.47954 0.16836 Mdot 0.4814 0.15062 Mdot 0.48326 0.11169 Mdot 0.48512 0.11023 Mdot 0.48698 0.15003 Mdot 0.48884 0.16789 Mdot 0.4907 0.17905 Mdot 0.49256 0.18677 Mdot 0.49442 0.19229 Mdot 0.49628 0.1962 Mdot 0.49814 0.19882 Mdot 0.5 0.20034 Mdot 0.50186 0.20083 Mdot 0.50372 0.20034 Mdot 0.50558 0.19882 Mdot 0.50744 0.1962 Mdot 0.5093 0.19229 Mdot 0.51116 0.18677 Mdot 0.51302 0.17905 Mdot 0.51488 0.16789 Mdot 0.51674 0.15003 Mdot 0.5186 0.11023 Mdot 0.52046 0.11169 Mdot 0.52232 0.15062 Mdot 0.52418 0.16836 Mdot 0.52604 0.17952 Mdot 0.5279 0.18726 Mdot 0.52976 0.19282 Mdot 0.53162 0.19678 Mdot 0.53348 0.19946 Mdot 0.53534 0.20102 Mdot 0.5372 0.20157 Mdot 0.53906 0.20113 Mdot 0.54092 0.19966 Mdot 0.54278 0.19707 Mdot 0.54464 0.19318 Mdot 0.5465 0.18766 Mdot 0.54836 0.1799 Mdot 0.55022 0.16859 Mdot 0.55208 0.15031 Mdot 0.55394 0.10796 Mdot 0.5558 0.11664 Mdot 0.55766 0.15346 Mdot 0.55952 0.1708 Mdot 0.56138 0.18181 Mdot 0.56324 0.1895 Mdot 0.5651 0.19504 Mdot 0.56696 0.19899 Mdot 0.56882 0.20166 Mdot 0.57068 0.20323 Mdot 0.57254 0.20377 Mdot 0.5744 0.20331 Mdot 0.57626 0.2018 Mdot 0.57813 0.19916 Mdot 0.57999 0.19518 Mdot 0.58185 0.18949 Mdot 0.58371 0.18144 Mdot 0.58557 0.16956 Mdot 0.58743 0.14981 Mdot 0.58929 0.09775 Mdot 0.59115 0.12766 Mdot 0.59301 0.15966 Mdot 0.59487 0.17587 Mdot 0.59673 0.18638 Mdot 0.59859 0.19378 Mdot 0.60045 0.19912 Mdot 0.60231 0.20293 Mdot 0.60417 0.20548 Mdot 0.60603 0.20692 Mdot 0.60789 0.20734 Mdot 0.60975 0.20673 Mdot 0.61161 0.20506 Mdot 0.61347 0.20218 Mdot 0.61533 0.19788 Mdot 0.61719 0.19173 Mdot 0.61905 0.18291 Mdot 0.62091 0.16956 Mdot 0.62277 0.14578 Mdot 0.62463 0.01472 Mdot 0.62649 0.14439 Mdot 0.62835 0.1697 Mdot 0.63021 0.18393 Mdot 0.63207 0.19347 Mdot 0.63393 0.20027 Mdot 0.63579 0.20518 Mdot 0.63765 0.20863 Mdot 0.63951 0.21087 Mdot 0.64137 0.21202 Mdot 0.64323 0.21213 Mdot 0.64509 0.21118 Mdot 0.64695 0.20909 Mdot 0.64881 0.2057 Mdot 0.65067 0.20071 Mdot 0.65253 0.19353 Mdot 0.65439 0.183 Mdot 0.65625 0.16608 Mdot 0.65811 0.12938 Mdot 0.65997 0.12243 Mdot 0.66183 0.16474 Mdot 0.66369 0.18335 Mdot 0.66555 0.19501 Mdot 0.66741 0.20313 Mdot 0.66927 0.20898 Mdot 0.67113 0.21317 Mdot 0.67299 0.21602 Mdot 0.67485 0.2177 Mdot 0.67671 0.21829 Mdot 0.67857 0.21782 Mdot 0.68043 0.21621 Mdot 0.68229 0.21333 Mdot 0.68415 0.20893 Mdot 0.68601 0.20252 Mdot 0.68787 0.19313 Mdot 0.68973 0.17847 Mdot 0.69159 0.15021 Mdot 0.69345 0.09933 Mdot 0.69531 0.16512 Mdot 0.69717 0.1869 Mdot 0.69903 0.1999 Mdot 0.70089 0.20879 Mdot 0.70275 0.21515 Mdot 0.70461 0.21972 Mdot 0.70647 0.22286 Mdot 0.70833 0.22477 Mdot 0.71019 0.22554 Mdot 0.71205 0.2252 Mdot 0.71391 0.22368 Mdot 0.71577 0.22085 Mdot 0.71763 0.21643 Mdot 0.71949 0.2099 Mdot 0.72135 0.20022 Mdot 0.72321 0.18478 Mdot 0.72507 0.15343 Mdot 0.72693 0.12478 Mdot 0.72879 0.17722 Mdot 0.73065 0.19755 Mdot 0.73251 0.20998 Mdot 0.73438 0.21853 Mdot 0.73624 0.22465 Mdot 0.7381 0.22899 Mdot 0.73996 0.23189 Mdot 0.74182 0.23354 Mdot 0.74368 0.23399 Mdot 0.74554 0.23325 Mdot 0.7474 0.2312 Mdot 0.74926 0.22765 Mdot 0.75112 0.22217 Mdot 0.75298 0.21396 Mdot 0.75484 0.2012 Mdot 0.7567 0.17809 Mdot 0.75856 0.06078 Mdot 0.76042 0.17649 Mdot 0.76228 0.20228 Mdot 0.76414 0.21676 Mdot 0.766 0.22642 Mdot 0.76786 0.23323 Mdot 0.76972 0.23804 Mdot 0.77158 0.24124 Mdot 0.77344 0.24306 Mdot 0.7753 0.24357 Mdot 0.77716 0.24275 Mdot 0.77902 0.24046 Mdot 0.78088 0.23642 Mdot 0.78274 0.23008 Mdot 0.7846 0.22024 Mdot 0.78646 0.20383 Mdot 0.78832 0.16711 Mdot 0.79018 0.16245 Mdot 0.79204 0.20436 Mdot 0.7939 0.22302 Mdot 0.79576 0.23467 Mdot 0.79762 0.24262 Mdot 0.79948 0.24812 Mdot 0.80134 0.25173 Mdot 0.8032 0.2537 Mdot 0.80506 0.2541 Mdot 0.80692 0.25286 Mdot 0.80878 0.24974 Mdot 0.81064 0.24422 Mdot 0.8125 0.23514 Mdot 0.81436 0.21954 Mdot 0.81622 0.18451 Mdot 0.81808 0.17575 Mdot 0.81994 0.21952 Mdot 0.8218 0.2385 Mdot 0.82366 0.25011 Mdot 0.82552 0.25772 Mdot 0.82738 0.26255 Mdot 0.82924 0.26502 Mdot 0.8311 0.26522 Mdot 0.83296 0.26284 Mdot 0.83482 0.25711 Mdot 0.83668 0.24595 Mdot 0.83854 0.22226 Mdot 0.8404 0.1449 Mdot 0.84226 0.23336 Mdot 0.84412 0.25716 Mdot 0.84598 0.27033 Mdot 0.84784 0.27777 Mdot 0.8497 0.28036 Mdot 0.85156 0.2769 Mdot 0.85342 0.26121 Mdot 0.85528 0.16542 Mdot 0.85714 0.283 Mdot 0.859 0.3152 Mdot 0.86086 0.33709 Mdot 0.86272 0.35443 Mdot 0.86458 0.36911 Mdot 0.86644 0.38199 Mdot 0.8683 0.39356 Mdot 0.87016 0.40411 Mdot 0.87202 0.41384 Mdot 0.87388 0.42288 Mdot 0.87574 0.43134 Mdot 0.8776 0.43929 Mdot 0.87946 0.4468 Mdot 0.88132 0.45391 Mdot 0.88318 0.46067 Mdot 0.88504 0.4671 Mdot 0.8869 0.47323 Mdot 0.88876 0.47909 Mdot 0.89063 0.48469 Mdot 0.89249 0.49006 Mdot 0.89435 0.4952 Mdot 0.89621 0.50014 Mdot 0.89807 0.50488 Mdot 0.89993 0.50943 Mdot 0.90179 0.5138 Mdot 0.90365 0.518 Mdot 0.90551 0.52204 Mdot 0.90737 0.52592 Mdot 0.90923 0.52966 Mdot 0.91109 0.53325 Mdot 0.91295 0.5367 Mdot 0.91481 0.54002 Mdot 0.91667 0.54321 Mdot 0.91853 0.54628 Mdot 0.92039 0.54922 Mdot 0.92225 0.55204 Mdot 0.92411 0.55475 Mdot 0.92597 0.55734 Mdot 0.92783 0.55982 Mdot 0.92969 0.5622 Mdot 0.93155 0.56447 Mdot 0.93341 0.56664 Mdot 0.93527 0.56871 Mdot 0.93713 0.57067 Mdot 0.93899 0.57254 Mdot 0.94085 0.57431 Mdot 0.94271 0.57599 Mdot 0.94457 0.57758 Mdot 0.94643 0.57907 Mdot 0.94829 0.58047 Mdot 0.95015 0.58178 Mdot 0.95201 0.58301 Mdot 0.95387 0.58414 Mdot 0.95573 0.58519 Mdot 0.95759 0.58615 Mdot 0.95945 0.58702 Mdot 0.96131 0.58781 Mdot 0.96317 0.58852 Mdot 0.96503 0.58914 Mdot 0.96689 0.58968 Mdot 0.96875 0.59013 Mdot 0.97061 0.5905 Mdot 0.97247 0.59079 Mdot 0.97433 0.591 Mdot 0.97619 0.59112 Mdot grestore grestore gsave gsave 0.008 setlinewidth 0.02567 0.6012 Mdot 0.02753 0.60113 Mdot 0.02939 0.60093 Mdot 0.03125 0.60059 Mdot 0.03311 0.60012 Mdot 0.03497 0.59951 Mdot 0.03683 0.59876 Mdot 0.03869 0.59787 Mdot 0.04055 0.59684 Mdot 0.04241 0.59567 Mdot 0.04427 0.59435 Mdot 0.04613 0.59289 Mdot 0.04799 0.59127 Mdot 0.04985 0.5895 Mdot 0.05171 0.58757 Mdot 0.05357 0.58547 Mdot 0.05543 0.58321 Mdot 0.05729 0.58077 Mdot 0.05915 0.57816 Mdot 0.06101 0.57535 Mdot 0.06287 0.57235 Mdot 0.06473 0.56914 Mdot 0.06659 0.56572 Mdot 0.06845 0.56206 Mdot 0.07031 0.55816 Mdot 0.07217 0.554 Mdot 0.07403 0.54955 Mdot 0.07589 0.5448 Mdot 0.07775 0.53971 Mdot 0.07961 0.53425 Mdot 0.08147 0.52837 Mdot 0.08333 0.52202 Mdot 0.08519 0.51512 Mdot 0.08705 0.50758 Mdot 0.08891 0.49925 Mdot 0.09077 0.48993 Mdot 0.09263 0.47932 Mdot 0.09449 0.4669 Mdot 0.09635 0.45169 Mdot 0.09821 0.43139 Mdot 0.10007 0.39797 Mdot 0.10193 0.33572 Mdot 0.10379 0.39976 Mdot 0.10565 0.41615 Mdot 0.10751 0.42347 Mdot 0.10938 0.42648 Mdot 0.11124 0.4267 Mdot 0.1131 0.42478 Mdot 0.11496 0.42091 Mdot 0.11682 0.41501 Mdot 0.11868 0.40669 Mdot 0.12054 0.39496 Mdot 0.1224 0.37722 Mdot 0.12426 0.343 Mdot 0.12612 0.31515 Mdot 0.12798 0.36344 Mdot 0.12984 0.38097 Mdot 0.1317 0.39065 Mdot 0.13356 0.39641 Mdot 0.13542 0.39965 Mdot 0.13728 0.40101 Mdot 0.13914 0.40079 Mdot 0.141 0.39914 Mdot 0.14286 0.39603 Mdot 0.14472 0.39135 Mdot 0.14658 0.38475 Mdot 0.14844 0.37556 Mdot 0.1503 0.36229 Mdot 0.15216 0.34053 Mdot 0.15402 0.28031 Mdot 0.15588 0.32081 Mdot 0.15774 0.34946 Mdot 0.1596 0.36361 Mdot 0.16146 0.37224 Mdot 0.16332 0.37776 Mdot 0.16518 0.38117 Mdot 0.16704 0.38293 Mdot 0.1689 0.3833 Mdot 0.17076 0.38238 Mdot 0.17262 0.38018 Mdot 0.17448 0.37661 Mdot 0.17634 0.37146 Mdot 0.1782 0.36428 Mdot 0.18006 0.35419 Mdot 0.18192 0.33909 Mdot 0.18378 0.31187 Mdot 0.18564 0.23187 Mdot 0.1875 0.31746 Mdot 0.18936 0.3394 Mdot 0.19122 0.35163 Mdot 0.19308 0.35948 Mdot 0.19494 0.36467 Mdot 0.1968 0.36797 Mdot 0.19866 0.36977 Mdot 0.20052 0.37028 Mdot 0.20238 0.36958 Mdot 0.20424 0.36767 Mdot 0.2061 0.36446 Mdot 0.20796 0.35977 Mdot 0.20982 0.3532 Mdot 0.21168 0.34399 Mdot 0.21354 0.33043 Mdot 0.2154 0.30731 Mdot 0.21726 0.22429 Mdot 0.21912 0.29804 Mdot 0.22098 0.3242 Mdot 0.22284 0.33805 Mdot 0.2247 0.34689 Mdot 0.22656 0.35283 Mdot 0.22842 0.35678 Mdot 0.23028 0.35919 Mdot 0.23214 0.36029 Mdot 0.234 0.3602 Mdot 0.23586 0.35896 Mdot 0.23772 0.35651 Mdot 0.23958 0.35272 Mdot 0.24144 0.34731 Mdot 0.2433 0.33975 Mdot 0.24516 0.32896 Mdot 0.24702 0.31224 Mdot 0.24888 0.27866 Mdot 0.25074 0.25553 Mdot 0.2526 0.30372 Mdot 0.25446 0.32264 Mdot 0.25632 0.33393 Mdot 0.25818 0.34145 Mdot 0.26004 0.34658 Mdot 0.2619 0.34997 Mdot 0.26376 0.35197 Mdot 0.26563 0.35274 Mdot 0.26749 0.35237 Mdot 0.26935 0.35087 Mdot 0.27121 0.34815 Mdot 0.27307 0.34404 Mdot 0.27493 0.33823 Mdot 0.27679 0.33008 Mdot 0.27865 0.31827 Mdot 0.28051 0.29923 Mdot 0.28237 0.25431 Mdot 0.28423 0.26778 Mdot 0.28609 0.30267 Mdot 0.28795 0.31914 Mdot 0.28981 0.32942 Mdot 0.29167 0.33638 Mdot 0.29353 0.34117 Mdot 0.29539 0.34434 Mdot 0.29725 0.34617 Mdot 0.29911 0.34682 Mdot 0.30097 0.34635 Mdot 0.30283 0.34475 Mdot 0.30469 0.34194 Mdot 0.30655 0.33773 Mdot 0.30841 0.33178 Mdot 0.31027 0.3234 Mdot 0.31213 0.31117 Mdot 0.31399 0.29104 Mdot 0.31585 0.23869 Mdot 0.31771 0.26788 Mdot 0.31957 0.29943 Mdot 0.32143 0.31512 Mdot 0.32329 0.32508 Mdot 0.32515 0.33189 Mdot 0.32701 0.3366 Mdot 0.32887 0.33973 Mdot 0.33073 0.34155 Mdot 0.33259 0.34221 Mdot 0.33445 0.34177 Mdot 0.33631 0.34021 Mdot 0.33817 0.33744 Mdot 0.34003 0.33328 Mdot 0.34189 0.32738 Mdot 0.34375 0.31908 Mdot 0.34561 0.30694 Mdot 0.34747 0.28695 Mdot 0.34933 0.23527 Mdot 0.35119 0.26336 Mdot 0.35305 0.29519 Mdot 0.35491 0.31101 Mdot 0.35677 0.32107 Mdot 0.35863 0.32797 Mdot 0.36049 0.33278 Mdot 0.36235 0.336 Mdot 0.36421 0.33792 Mdot 0.36607 0.33868 Mdot 0.36793 0.33835 Mdot 0.36979 0.33691 Mdot 0.37165 0.33428 Mdot 0.37351 0.33028 Mdot 0.37537 0.32459 Mdot 0.37723 0.31657 Mdot 0.37909 0.30488 Mdot 0.38095 0.28591 Mdot 0.38281 0.2406 Mdot 0.38467 0.25561 Mdot 0.38653 0.29036 Mdot 0.38839 0.30696 Mdot 0.39025 0.31742 Mdot 0.39211 0.3246 Mdot 0.39397 0.32961 Mdot 0.39583 0.33302 Mdot 0.39769 0.33511 Mdot 0.39955 0.33604 Mdot 0.40141 0.33588 Mdot 0.40327 0.33462 Mdot 0.40513 0.33219 Mdot 0.40699 0.32843 Mdot 0.40885 0.32303 Mdot 0.41071 0.31543 Mdot 0.41257 0.30442 Mdot 0.41443 0.28692 Mdot 0.41629 0.24904 Mdot 0.41815 0.24412 Mdot 0.42001 0.28504 Mdot 0.42188 0.30301 Mdot 0.42374 0.31413 Mdot 0.4256 0.32172 Mdot 0.42746 0.32704 Mdot 0.42932 0.3307 Mdot 0.43118 0.33302 Mdot 0.43304 0.33417 Mdot 0.4349 0.33422 Mdot 0.43676 0.33318 Mdot 0.43862 0.33099 Mdot 0.44048 0.32751 Mdot 0.44234 0.32246 Mdot 0.4442 0.31534 Mdot 0.44606 0.30509 Mdot 0.44792 0.28916 Mdot 0.44978 0.25768 Mdot 0.45164 0.22599 Mdot 0.4535 0.27921 Mdot 0.45536 0.29919 Mdot 0.45722 0.31119 Mdot 0.45908 0.31932 Mdot 0.46094 0.32503 Mdot 0.4628 0.329 Mdot 0.46466 0.33158 Mdot 0.46652 0.33297 Mdot 0.46838 0.33326 Mdot 0.47024 0.33246 Mdot 0.4721 0.33054 Mdot 0.47396 0.32736 Mdot 0.47582 0.32268 Mdot 0.47768 0.31605 Mdot 0.47954 0.30657 Mdot 0.4814 0.29214 Mdot 0.48326 0.26563 Mdot 0.48512 0.18643 Mdot 0.48698 0.27278 Mdot 0.48884 0.29554 Mdot 0.4907 0.30865 Mdot 0.49256 0.31741 Mdot 0.49442 0.32356 Mdot 0.49628 0.32787 Mdot 0.49814 0.33075 Mdot 0.5 0.3324 Mdot 0.50186 0.33294 Mdot 0.50372 0.3324 Mdot 0.50558 0.33075 Mdot 0.50744 0.32787 Mdot 0.5093 0.32356 Mdot 0.51116 0.31741 Mdot 0.51302 0.30865 Mdot 0.51488 0.29554 Mdot 0.51674 0.27278 Mdot 0.5186 0.18643 Mdot 0.52046 0.26563 Mdot 0.52232 0.29214 Mdot 0.52418 0.30657 Mdot 0.52604 0.31605 Mdot 0.5279 0.32268 Mdot 0.52976 0.32736 Mdot 0.53162 0.33054 Mdot 0.53348 0.33246 Mdot 0.53534 0.33326 Mdot 0.5372 0.33297 Mdot 0.53906 0.33158 Mdot 0.54092 0.329 Mdot 0.54278 0.32503 Mdot 0.54464 0.31932 Mdot 0.5465 0.31119 Mdot 0.54836 0.29919 Mdot 0.55022 0.27921 Mdot 0.55208 0.22599 Mdot 0.55394 0.25768 Mdot 0.5558 0.28916 Mdot 0.55766 0.30509 Mdot 0.55952 0.31534 Mdot 0.56138 0.32246 Mdot 0.56324 0.32751 Mdot 0.5651 0.33099 Mdot 0.56696 0.33318 Mdot 0.56882 0.33422 Mdot 0.57068 0.33417 Mdot 0.57254 0.33302 Mdot 0.5744 0.3307 Mdot 0.57626 0.32704 Mdot 0.57813 0.32172 Mdot 0.57999 0.31413 Mdot 0.58185 0.30301 Mdot 0.58371 0.28504 Mdot 0.58557 0.24412 Mdot 0.58743 0.24904 Mdot 0.58929 0.28692 Mdot 0.59115 0.30442 Mdot 0.59301 0.31543 Mdot 0.59487 0.32303 Mdot 0.59673 0.32843 Mdot 0.59859 0.33219 Mdot 0.60045 0.33462 Mdot 0.60231 0.33588 Mdot 0.60417 0.33604 Mdot 0.60603 0.33511 Mdot 0.60789 0.33302 Mdot 0.60975 0.32961 Mdot 0.61161 0.3246 Mdot 0.61347 0.31742 Mdot 0.61533 0.30696 Mdot 0.61719 0.29036 Mdot 0.61905 0.25561 Mdot 0.62091 0.2406 Mdot 0.62277 0.28591 Mdot 0.62463 0.30488 Mdot 0.62649 0.31657 Mdot 0.62835 0.32459 Mdot 0.63021 0.33028 Mdot 0.63207 0.33428 Mdot 0.63393 0.33691 Mdot 0.63579 0.33835 Mdot 0.63765 0.33868 Mdot 0.63951 0.33792 Mdot 0.64137 0.336 Mdot 0.64323 0.33278 Mdot 0.64509 0.32797 Mdot 0.64695 0.32107 Mdot 0.64881 0.31101 Mdot 0.65067 0.29519 Mdot 0.65253 0.26336 Mdot 0.65439 0.23527 Mdot 0.65625 0.28695 Mdot 0.65811 0.30694 Mdot 0.65997 0.31908 Mdot 0.66183 0.32738 Mdot 0.66369 0.33328 Mdot 0.66555 0.33744 Mdot 0.66741 0.34021 Mdot 0.66927 0.34177 Mdot 0.67113 0.34221 Mdot 0.67299 0.34155 Mdot 0.67485 0.33973 Mdot 0.67671 0.3366 Mdot 0.67857 0.33189 Mdot 0.68043 0.32508 Mdot 0.68229 0.31512 Mdot 0.68415 0.29943 Mdot 0.68601 0.26788 Mdot 0.68787 0.23869 Mdot 0.68973 0.29104 Mdot 0.69159 0.31117 Mdot 0.69345 0.3234 Mdot 0.69531 0.33178 Mdot 0.69717 0.33773 Mdot 0.69903 0.34194 Mdot 0.70089 0.34475 Mdot 0.70275 0.34635 Mdot 0.70461 0.34682 Mdot 0.70647 0.34617 Mdot 0.70833 0.34434 Mdot 0.71019 0.34117 Mdot 0.71205 0.33638 Mdot 0.71391 0.32942 Mdot 0.71577 0.31914 Mdot 0.71763 0.30267 Mdot 0.71949 0.26778 Mdot 0.72135 0.25431 Mdot 0.72321 0.29923 Mdot 0.72507 0.31827 Mdot 0.72693 0.33008 Mdot 0.72879 0.33823 Mdot 0.73065 0.34404 Mdot 0.73251 0.34815 Mdot 0.73438 0.35087 Mdot 0.73624 0.35237 Mdot 0.7381 0.35274 Mdot 0.73996 0.35197 Mdot 0.74182 0.34997 Mdot 0.74368 0.34658 Mdot 0.74554 0.34145 Mdot 0.7474 0.33393 Mdot 0.74926 0.32264 Mdot 0.75112 0.30372 Mdot 0.75298 0.25553 Mdot 0.75484 0.27866 Mdot 0.7567 0.31224 Mdot 0.75856 0.32896 Mdot 0.76042 0.33975 Mdot 0.76228 0.34731 Mdot 0.76414 0.35272 Mdot 0.766 0.35651 Mdot 0.76786 0.35896 Mdot 0.76972 0.3602 Mdot 0.77158 0.36029 Mdot 0.77344 0.35919 Mdot 0.7753 0.35678 Mdot 0.77716 0.35283 Mdot 0.77902 0.34689 Mdot 0.78088 0.33805 Mdot 0.78274 0.3242 Mdot 0.7846 0.29804 Mdot 0.78646 0.22429 Mdot 0.78832 0.30731 Mdot 0.79018 0.33043 Mdot 0.79204 0.34399 Mdot 0.7939 0.3532 Mdot 0.79576 0.35977 Mdot 0.79762 0.36446 Mdot 0.79948 0.36767 Mdot 0.80134 0.36958 Mdot 0.8032 0.37028 Mdot 0.80506 0.36977 Mdot 0.80692 0.36797 Mdot 0.80878 0.36467 Mdot 0.81064 0.35948 Mdot 0.8125 0.35163 Mdot 0.81436 0.3394 Mdot 0.81622 0.31746 Mdot 0.81808 0.23187 Mdot 0.81994 0.31187 Mdot 0.8218 0.33909 Mdot 0.82366 0.35419 Mdot 0.82552 0.36428 Mdot 0.82738 0.37146 Mdot 0.82924 0.37661 Mdot 0.8311 0.38018 Mdot 0.83296 0.38238 Mdot 0.83482 0.3833 Mdot 0.83668 0.38293 Mdot 0.83854 0.38117 Mdot 0.8404 0.37776 Mdot 0.84226 0.37224 Mdot 0.84412 0.36361 Mdot 0.84598 0.34946 Mdot 0.84784 0.32081 Mdot 0.8497 0.28031 Mdot 0.85156 0.34053 Mdot 0.85342 0.36229 Mdot 0.85528 0.37556 Mdot 0.85714 0.38475 Mdot 0.859 0.39135 Mdot 0.86086 0.39603 Mdot 0.86272 0.39914 Mdot 0.86458 0.40079 Mdot 0.86644 0.40101 Mdot 0.8683 0.39965 Mdot 0.87016 0.39641 Mdot 0.87202 0.39065 Mdot 0.87388 0.38097 Mdot 0.87574 0.36344 Mdot 0.8776 0.31515 Mdot 0.87946 0.343 Mdot 0.88132 0.37722 Mdot 0.88318 0.39496 Mdot 0.88504 0.40669 Mdot 0.8869 0.41501 Mdot 0.88876 0.42091 Mdot 0.89063 0.42478 Mdot 0.89249 0.4267 Mdot 0.89435 0.42648 Mdot 0.89621 0.42347 Mdot 0.89807 0.41615 Mdot 0.89993 0.39976 Mdot 0.90179 0.33572 Mdot 0.90365 0.39797 Mdot 0.90551 0.43139 Mdot 0.90737 0.45169 Mdot 0.90923 0.4669 Mdot 0.91109 0.47932 Mdot 0.91295 0.48993 Mdot 0.91481 0.49925 Mdot 0.91667 0.50758 Mdot 0.91853 0.51512 Mdot 0.92039 0.52202 Mdot 0.92225 0.52837 Mdot 0.92411 0.53425 Mdot 0.92597 0.53971 Mdot 0.92783 0.5448 Mdot 0.92969 0.54955 Mdot 0.93155 0.554 Mdot 0.93341 0.55816 Mdot 0.93527 0.56206 Mdot 0.93713 0.56572 Mdot 0.93899 0.56914 Mdot 0.94085 0.57235 Mdot 0.94271 0.57535 Mdot 0.94457 0.57816 Mdot 0.94643 0.58077 Mdot 0.94829 0.58321 Mdot 0.95015 0.58547 Mdot 0.95201 0.58757 Mdot 0.95387 0.5895 Mdot 0.95573 0.59127 Mdot 0.95759 0.59289 Mdot 0.95945 0.59435 Mdot 0.96131 0.59567 Mdot 0.96317 0.59684 Mdot 0.96503 0.59787 Mdot 0.96689 0.59876 Mdot 0.96875 0.59951 Mdot 0.97061 0.60012 Mdot 0.97247 0.60059 Mdot 0.97433 0.60093 Mdot 0.97619 0.60113 Mdot grestore grestore grestore % End of Graphics MathPictureEnd\ \>"], "Graphics", Evaluatable->False, AspectRatioFixed->True, ImageSize->{282, 174}, ImageMargins->{{39, Inherited}, {Inherited, Inherited}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHggYjN[Vi^OShn03ooeGooj[oooclo5H/1EGooj[ooc/k>gYjN[Vi^OShn03o oclo?ginO[fm_Oclo5D00:X00?l00000EED0EJX00=d81Slo?ginO[fm_Oclo0<30d92@X61PL30`000 EED0EJX0EOl0E@00ZUD0ZZX0E@<30d92@X61PL30`000E@L71dI6AXF5QLC4a000ZUD0ZZX0Z_l0ZP00 e5D0ojX0ZPL71dI6AXF5QLC4a000ZP/;2dY:BXV9RLS8b000oeD0ojX0ool0o`1E05EE0:X0o`/;2dY: BXV9RLS8b000o`l?3di>CXf=SLcCXf=SLc00;o1004ocH0000K0003o`0003`00_l200;o 0`02o`800_l200;o0`06o`@01?lc00?o1@06o`<00_l200;o0P02o`<00_l00`3oo`1600006`000ol0 000g00;o0`02o`800_l200;o0`06o`@01?m500Co1006o`<00_l01@3oool000;o1002od00000K0003 o`0002H00ol600;o0`02o`030?oo00<00_l200;o0P02o`<01OmF00Go1002o`030?oo00<00_l300Co 1002o`H00ol_00006`02ob800_l300?o1004o`<00_l200;o0P02o`<01Ol400?oF003o`D01Ol300;o 0P02o`030?oo00@01?l400?o0`02obX0000K0003o`0002400_l:00?o1002o`800_l00`3oo`0400Co 9P02oaP00_lW00Co0`02o`800_l200;o0`04o`X00_lZ00006`000ol0000V00;o1`02o`<00_l200Go 1@03obH00_lH00;o9`03o`@01_l200;o0P02o`L00_l`00006`000ol0000P00;o1004o`800_l00`3o o`0200;o1004oa@00_m=00;o5004o`<00_l200;o0P02o`800ol500;o:@0001/00_lQ00;o0`02o`03 0?oo00800_l200;o00<0ool01003o``00_l700;oC@02o`L00_l<00?o0`03o`030?oo00800_l200Co 1002obT0000K0003o`0002D00_l500;o0P05oa<00_l?00;o?002oa000_lC00Go0P02o`@00_l_0000 6`000ol0000Q00;o1@02o`800_l200Co9@02o`P00_lY00;o1`02obD01?l300;o0P02o`@00_l[0000 6`000ol0000Q00;o0P02o`030?oo00?o=@03obT00ole00Go00@0ool00_l[00006`000ol0000U00;o 0P04oa800_lQ00;o:`02ob000_lC00Co0P02obh0000K00;o8002o`030?oo00;o0`04o`X00_l600;o 6@02o`l00_lI00;o3`02oaP00_l700;o2P04o`800_l00`3oo`02obT0000K0003o`0001d01?l00`3o o`02oa400_lQ00;o3`02oaT00_l?00;o8@02oa001ol00`3oo`0V00003P02o`@00_l50003o`0001d0 0_l300Co:`02ob400_l700;o8002ob`00ol400;o9P0000d000Co003o0P001?l00?l40003o`0001l0 0_l0103ooolK00;o1`02o`H00_lQ00;o1`02ob000_l700;o1`02oaX00ol200;o:00000d000Co003o 0P001?l00?l400;o8002oal00_l700;o:@02o`H00_lZ00;o1`02oal00_lX00001`04o`<00_l30004 o`00o`@000?o00007P02oe@00_l600;oE003obL0000=0004o`00o`8000Co003o10000ol0000N00;o 5`02oc<00_lG00;o<`02oaH00olW00003@001?l00?l20004o`00o`@000?o00007004oaL00_lP00;o 2002o`L00_lG00;o1`02o`P00_lP00;o5`04obD0000>00;o1002o`D00_lM00;o00;o 3`04o`L00_l400;o1`02o`030?oo00<00_l200;o0`02o`/00_l300;o00<0ool01002o`030?oo00L0 0_l400;o1P02o`030?oo00l00_l>00;o2002o`<00_lP00006`000ol0000G00;o0`02o`T00_lE00;o 00<0ool01P02o`@00_l700;o00<0ool01002o`030?oo00<00_l200;o0`02o`800_l300;o0P02o`80 0_l200;o1002o`030?oo00<00_l200;o1P02o`@00_l700Co5P02o`T00_l300;o800001/00_lO00;o 1`02o`H00_l700;o1002o`030?oo00@00_l600;o0P02o`H00_l300;o0`02o`800_l200;o0`02o`80 0_l200?o0P02o`800_l300;o0P02o`<00_l200;o1`02o`030?oo00L00_l400Co1@02o`H00_l700;o 1P02obP0000K0003o`0001h00_l?00;o1`02o`d00_l00`3oo`0300;o0P02o`<00_l200;o0P02o`<0 0_l0103oool300;o00@0oooo0P03o`030?oo00<00ol00`3oo`0300;o0P02o`<00_l200;o0P02o`<0 0_l200;o0`02o`030?oo00d00_l600;o3`02obP0000K0003o`0002d00_l700;o1P02o`030?oo00<0 0_l200;o0`02o`800_l200?o0P02o`800_l300Go1005o`@01Ol400Go0`06o`<00_l0103oool200?o 0P02o`800_l200?o0P02o`800_l200;o1P02o`H00_lg00006`000ol0000@00;o6`02o`L00_l00`3o o`0300;o00<0ool00`02o`800_l200;o1002o`030?oo00<01_l400Co1005o`@01?l500Go1004o`@0 1Ol400;o00<0ool00`02o`800_l300;o0P02o`800_l300;o00<0ool01P02oa/00_lJ00006`02oa40 0_l900;o2004o`L00_l300;o0P02o`800_l300;o0P02o`<00_l00`3oo`0400Go1004o`D00ol600?o 1P03o`H00ol500Co1005o`@01Ol300Ko0`02o`800_l200;o0`02o`800_l300;o1`03o`T00_l800;o 6P0001/000?o00005P02o`<00_l00`3oo`0500Co1`02o`<00_l200;o0P02o`<00_l0103oool300Go 1004o`H00_lc00;o1P04o`@01Ol300Ko0P02o`<00_l200;o0`02o`L00ol600;o00<0ool00P02ob00 000>00;o1002o`D000?o00005P02o`H00_l=00;o00<0ool00`02o`800ol00`3oo`0300Go1@03oe@0 1?l500Co1002o`040?ooo`800_l200;o0P02o`d00_l500;o800000d000Co003o0P001?l00?l40003 o`0001l00_l<00;o00<0ool00`02o`<01Ol400CoI@04o`@01Ol300;o0P02o`800_l<00;o:00000d0 00Co003o0P001?l00?l40003o`0001/00_l200;o1002o`030?oo00<00_l200;o00<0ool01004ogH0 1Ol300;o0P02o`800_l300;o00<0ool01002o`800_lT00001`04o`800ol30004o`00o`@00_lL00;o 2002o`030?oo00<00_l200Go1@02ogP00ol400Ko0P02o`<00_l00`3oo`0800;o900000d000?o0000 0`001?l00?l40003o`0001d00_l900;o0P02o`<01On700Co1002o`800_l900;o9P0000h000?o0000 0P001?l00?l40003o`0001L00_l400Co0`02o`800ol00`3oo`0400?oR@03o`@00_l01@3oool000;o 0`02o`030?oo00<00_lQ00003`02o`<00_l50003o`0001L00_l00`3oo`0300;o0`02o`<01OnG00Go 0P02o`<00_l400Co8@0001/00_lK00;o1002o`800_l300CoV@04o`<00_l200;o1002ob<0000K0003 o`0001H00_l500;o00@0ool00onW00;o00D0oooo0002o`D00_lO00006`000ol0000F00Ko00@0ool0 1OnX00Go0P02o`030?oo00Co7`0001/000?o00006006o`<01?nY00Co0`06ob40000K00;o7@02o`<0 0onZ00?o1002obD0000K0003o`0001P00ol00`3oo`2g00;o00<0ool08P0001/000?o00005@02o`03 0?oo00Co]`05o`030?oo01l0000K0003o`0001000ol200;o0P04okT01?l00`3oo`0300?o6@0001/0 00?o00004003o`H01?ni00Co1P03oaT0000K00;o5P02o`800_nm00;o0P02oah0000K0003o`0001D0 0_o500;o7P0001/000?o00004@02o`030?oo00800_nn00;o0P02o`030?oo01/0000K0003o`000140 0_l00`3oo`0200;o_P02o`800_l00`3oo`0K00006`02oa<01?l200;o_`02o`801?lK00006`000ol0 000B00Co0P02okl00_l200Co6`0000l000?o00000P02o`D000?o00004005o`800_o000;o0P03o`03 0?oo01T0000?0005o`000?l00P000ol000020003o`0001000_l500;o`002o`H00_lI00003005o`80 00Co003o1002oaP00_o100;o800000L01?l01@3o003o00<000Co003o10000ol0000G00;o`@02ob00 000=0003o`3o00<000Co003o10000ol0000F00;o`P02ob00000>00;o0`001?l00?l40003o`0001H0 0_o200;o800000l000?o00000P02o`D000?o00003`02o`D00_o300;o1@02oaP0000K00;o4002o`D0 0_o300;o1@02oaP0000K0003o`0001D00_o400;o7`0001/000?o00005@02ol@00_lO00006`000ol0 000?00;o1002olD00_l400;o600001/00_l@00;o0`03olD00_l400;o600001/000?o00005002olH0 0_lN00006`000ol0000>00;o1002olL00_l400;o5`0001/000?o00003P02o`<00oo700;o1002oaL0 000K00;o3`02o`<00_o800;o1002oaL0000K0003o`0000h00_l300;ob@02o`<00_lG00006`000ol0 000B00?ob@02oa`0000K0003o`0000d00_l300;obP03o`<00_lF00006`000ol0000=00;o0P03ol/0 0_l300;o5P0001/00_l>00;o0P02ol`00_l300;o5P0000d01?l300;o1@000ol0000=00;o0P02old0 0_l200;o5P0000d000Co003o0P001?l00?l40003o`0000`00_l200?oc@02o`<00_lE00003P000ol0 00020004o`00o`@000?o00003002o`800_o>00?o0P02oaD0000700Co10001Ol0003o008000?o0000 0P02o`d00_l200;oc`02o`800_lE000040001?l00?l20003o`00008000?o00002`03o`040?oooll0 0ol0103ooolD00003@001?l00?l20004o`00o`@000?o00002`02o`800_oA00;o0P02oa@0000>00;o 1002o`D000?o00002`02o`040?ooom400ol00`3oo`0D00006`02o`/01_oC00Ko4`0001/000?o0000 2P02o`040?ooom<00ol00`3oo`0C00006`000ol0000:00Goe@05oa<0000K0003o`0000T01OoG00Co 4`0001/00_l:00Go5`05o`800_l400;o8@04o`<00_l400;o8`02o`@00_l400;o8`000ol0000200;o 1002ob001Ol300;o1002o`L0000K0003o`0000P01OlJ0005o`000?l00P001?l00?l20003o`0001h0 00Co003o0P001?l00?l20004o`00ob4000Co003o0P001?l00?l20004o`00ob8000Go0000o`020004 o`00o`8000?o00007P04o`8000Co003o0P001?l00?l600006`000ol0000800Co6`001Ol0003o0080 00Co003o0P000ol0000O0003o`00008000Co003o0P001?l00?lT0004o`00o`8000Co003o0P000ol0 000M00Go0P001?l00?l20004o`00ob401?l01@3o003o008000Co003o1P0001/000?o00001`05oa/0 00Go0000o`020004o`00o`8000?o000080001Ol0003o008000Co003o0P000ol0000P00;o0`001?l0 0?l20004o`00oal000Co003o0`001?l00?l20004o`00ob001Ol01@3o003o008000Co003o1P0001/0 00?o00001`04oa`000Go0000o`020004o`00o`8000?o00008@001?l00?l20004o`00o`8000?o0000 8P001?l00?l20004o`00o`8000?o00007P000ol0o`030004o`00o`8000Co003o80000ol0o`04o`80 00Co003o0P000ol0000400006`02o`L01?lK00?o0`001?l00?l20004o`00ob0000Co003o0P001?l0 0?l20004o`00ob4000Co003o0P001?l00?l20004o`00ob400_l30004o`00o`8000Co003o80000ol0 0004o`8000Co003o0P000ol0000400006`000ol0000500Co7P000ol0000200;o1002ob800_l400;o 1002ob<00_l400;o1002ob<000?o00000P02o`@00_lQ00Wo1002o`L0000K0003o`0000@01?oS00Co 3@0001/000?o00000P05onD01Ol;00006`02o`030?oo00CoiP07o`T0000K00Soj009o`H0000K00Oo jP08o`H0000K00Ooj`07o`H0000E0?oo1Ol100006`000ol000060003o`0000L000?o00001`000ol0 00060003o`0000L000?o00001`000ol000060003o`0000L000?o00001`000ol000060003o`0000L0 00?o00001`000ol000060003o`0000L000?o00001`000ol000060003o`0000L000?o00001`000ol0 00060003o`0000L000?o00001`000ol000060003o`0000L000?o00001`000ol000060003o`0000L0 00?o00000@0001/000?o0000;@000ol0000]0003o`0002h000?o0000;@000ol0000]0003o`0000/0 000K0003o`000?`0000K0003o`000?`0003o01/0003o01/0003o01/0003o01/0003o01/0003o01/0 0000\ \>"], ImageRangeCache->{{{0, 281}, {173, 0}} -> {-56.2716, -150.837, 2.06991, 0.925712}}]}, Open]]}, Open]]}, Open]] }, FrontEndVersion->"Macintosh 3.0", ScreenRectangle->{{0, 640}, {0, 460}}, WindowToolbars->{}, CellGrouping->Manual, WindowSize->{520, 365}, WindowMargins->{{44, Automatic}, {Automatic, 16}}, PrivateNotebookOptions->{"ColorPalette"->{RGBColor, -1}}, ShowCellLabel->True, ShowCellTags->False, RenderingOptions->{"ObjectDithering"->True, "RasterDithering"->False}, MacintoshSystemPageSetup->"\<\ AVU/IFiQKFD000000V8nh09RAj0000000OXQ<097PXP0AP1Y06`0I@1^0642HSkP 0V97`0000001nR4@0TN2R000000000000000009R?^0000000000000000000000 00000000000000000000000000000000\>" ] (*********************************************************************** 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[1711, 51, 66, 1, 70, "Title", Evaluatable->False], Cell[1780, 54, 141, 3, 70, "Subtitle", Evaluatable->False], Cell[CellGroupData[{ Cell[1944, 59, 62, 1, 70, "Section", Evaluatable->False], Cell[CellGroupData[{ Cell[2029, 62, 63, 1, 70, "Subsection", Evaluatable->False], Cell[2095, 65, 148, 2, 70, "Input"], Cell[2246, 69, 124, 2, 70, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[2402, 73, 121, 3, 70, "Subsection", Evaluatable->False], Cell[2526, 78, 50, 0, 70, "Input"], Cell[CellGroupData[{ Cell[2599, 80, 50, 0, 70, "Input"], Cell[2652, 82, 9553, 231, 70, 2833, 143, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[12246, 315, 83, 1, 70, "Subsection", Evaluatable->False], Cell[CellGroupData[{ Cell[12352, 318, 34, 0, 70, "Input"], Cell[12389, 320, 273, 5, 70, "Info", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[12694, 327, 49, 0, 70, "Input"], Cell[12746, 329, 225, 10, 70, "Output", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[13003, 341, 48, 0, 70, "Input"], Cell[13054, 343, 186, 9, 70, "Output", Evaluatable->False] }, Closed]], Cell[13252, 354, 129, 3, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[13404, 359, 51, 0, 70, "Input"], Cell[13458, 361, 232, 10, 70, "Output", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[13722, 373, 62, 0, 70, "Input"], Cell[13787, 375, 11604, 290, 70, 3749, 188, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[25432, 667, 61, 1, 70, "Subsection", Evaluatable->False], Cell[CellGroupData[{ Cell[25516, 670, 35, 0, 70, "Input"], Cell[25554, 672, 126, 3, 70, "Info", Evaluatable->False] }, Closed]], Cell[25692, 677, 264, 4, 70, "Text", Evaluatable->False], Cell[25959, 683, 100, 1, 70, "Text", Evaluatable->False], Cell[26062, 686, 100, 1, 70, "Text", Evaluatable->False], Cell[26165, 689, 157, 3, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[26345, 694, 84, 1, 70, "Input"], Cell[26432, 697, 117, 6, 70, "Output", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[26581, 705, 76, 0, 70, "Input"], Cell[26660, 707, 261, 10, 70, "Output", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[26953, 719, 34, 0, 70, "Input"], Cell[26990, 721, 129, 6, 70, "Output", Evaluatable->False] }, Closed]], Cell[27131, 729, 312, 5, 70, "Text", Evaluatable->False], Cell[27446, 736, 85, 1, 70, "Input"], Cell[CellGroupData[{ Cell[27554, 739, 79, 0, 70, "Input"], Cell[27636, 741, 109, 6, 70, "Output", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[27777, 749, 78, 0, 70, "Input"], Cell[27858, 751, 121, 6, 70, "Output", Evaluatable->False] }, Closed]], Cell[27991, 759, 61, 1, 70, "Text", Evaluatable->False] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[28093, 762, 68, 1, 70, "Section", Evaluatable->False], Cell[28164, 765, 117, 2, 70, "Input"], Cell[CellGroupData[{ Cell[28304, 769, 67, 0, 70, "Input"], Cell[28374, 771, 105, 6, 70, "Output", Evaluatable->False] }, Closed]], Cell[28491, 779, 60, 0, 70, "Input"], Cell[28554, 781, 81, 1, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[28658, 784, 53, 0, 70, "Input"], Cell[28714, 786, 12841, 287, 70, 3290, 164, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[41567, 1075, 121, 3, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[41711, 1080, 60, 0, 70, "Input"], Cell[41774, 1082, 11977, 279, 70, 3463, 169, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[53792, 1363, 78, 1, 70, "Section", Evaluatable->False], Cell[CellGroupData[{ Cell[53893, 1366, 79, 1, 70, "Subsection", Evaluatable->False], Cell[53975, 1369, 319, 5, 70, "Text", Evaluatable->False], Cell[54297, 1376, 139, 2, 70, "Input"], Cell[54439, 1380, 17, 0, 70, "Input"], Cell[54459, 1382, 78, 0, 70, "Input"], Cell[CellGroupData[{ Cell[54560, 1384, 57, 0, 70, "Input"], Cell[54620, 1386, 23211, 971, 70, 16421, 882, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[77843, 2359, 55, 0, 70, "Input"], Cell[CellGroupData[{ Cell[77921, 2361, 52, 0, 70, "Input"], Cell[77976, 2363, 26253, 1013, 70, 16514, 888, "GraphicsData", "PostScript", "Graphics", Evaluatable->False], Cell[104232, 3378, 152, 2, 70, "Message"] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[104425, 3382, 79, 1, 70, "Subsection", Evaluatable->False], Cell[104507, 3385, 178, 3, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[104708, 3390, 189, 3, 70, "Input"], Cell[104900, 3395, 24848, 1047, 70, 17711, 954, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[129760, 4444, 69, 0, 70, "Input"], Cell[129832, 4446, 51, 0, 70, "Input"], Cell[CellGroupData[{ Cell[129906, 4448, 41, 0, 70, "Input"], Cell[129950, 4450, 26170, 996, 70, 16206, 868, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[156152, 5448, 134, 2, 70, "Input"], Cell[CellGroupData[{ Cell[156309, 5452, 52, 0, 70, "Input"], Cell[156364, 5454, 26134, 996, 70, 16206, 868, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[182510, 6452, 100, 1, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[182633, 6455, 48, 0, 70, "Input"], Cell[182684, 6457, 38736, 1556, 70, 27227, 1409, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[221470, 8015, 105, 2, 70, "Subsection", Evaluatable->False], Cell[221578, 8019, 134, 2, 70, "Input"], Cell[CellGroupData[{ Cell[221735, 8023, 69, 0, 70, "Input"], Cell[221807, 8025, 161, 8, 70, "Output", Evaluatable->False] }, Open ]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[222018, 8035, 76, 1, 70, "Section", Evaluatable->False], Cell[CellGroupData[{ Cell[222117, 8038, 155, 6, 70, "Subsection", Evaluatable->False], Cell[222275, 8046, 109, 2, 70, "Text", Evaluatable->False], Cell[222387, 8050, 135, 2, 70, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[222554, 8054, 87, 1, 70, "Subsection", Evaluatable->False], Cell[222644, 8057, 563, 8, 70, "Text", Evaluatable->False], Cell[223210, 8067, 73, 0, 70, "Input"], Cell[223286, 8069, 206, 4, 70, "Text", Evaluatable->False], Cell[223495, 8075, 61, 0, 70, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[223588, 8077, 80, 1, 70, "Subsection", Evaluatable->False], Cell[223671, 8080, 82, 1, 70, "Input"], Cell[CellGroupData[{ Cell[223776, 8083, 48, 0, 70, "Input"], Cell[223827, 8085, 91, 5, 70, "Output", Evaluatable->False] }, Closed]], Cell[223930, 8092, 91, 1, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[224044, 8095, 40, 0, 70, "Input"], Cell[224087, 8097, 99, 5, 70, "Output", Evaluatable->False] }, Closed]], Cell[224198, 8104, 96, 1, 70, "Text", Evaluatable->False], Cell[224297, 8107, 194, 3, 70, "Input"], Cell[CellGroupData[{ Cell[224514, 8112, 62, 0, 70, "Input"], Cell[224579, 8114, 13955, 557, 70, 7554, 473, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[238566, 8673, 50, 0, 70, "Input"], Cell[238619, 8675, 27104, 1075, 70, 17547, 952, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[265735, 9752, 148, 3, 70, "Text", Evaluatable->False], Cell[CellGroupData[{ Cell[265906, 9757, 42, 0, 70, "Input"], Cell[265951, 9759, 100, 5, 70, "Output", Evaluatable->False] }, Closed]], Cell[266063, 9766, 118, 3, 70, "Text", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[266213, 9771, 120, 3, 70, "Subsection", Evaluatable->False], Cell[266336, 9776, 1940, 27, 70, "Text", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[268308, 9805, 81, 1, 70, "Subsection", Evaluatable->False], Cell[268392, 9808, 81, 1, 70, "Input"], Cell[CellGroupData[{ Cell[268496, 9811, 48, 0, 70, "Input"], Cell[268547, 9813, 100, 5, 70, "Output", Evaluatable->False] }, Closed]], Cell[268659, 9820, 194, 3, 70, "Input"], Cell[CellGroupData[{ Cell[268876, 9825, 62, 0, 70, "Input"], Cell[268941, 9827, 14054, 558, 70, 7556, 473, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[283027, 10387, 50, 0, 70, "Input"], Cell[283080, 10389, 26379, 1010, 70, 16470, 882, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[309500, 11401, 76, 1, 70, "Subsection", Evaluatable->False], Cell[CellGroupData[{ Cell[309599, 11404, 41, 0, 70, "Input"], Cell[309643, 11406, 14871, 597, 70, 8190, 509, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]], Cell[CellGroupData[{ Cell[324546, 12005, 45, 0, 70, "Input"], Cell[324594, 12007, 41022, 1636, 70, 28273, 1473, "GraphicsData", "PostScript", "Graphics", Evaluatable->False] }, Closed]] }, Closed]] }, Closed]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)