(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 153870, 4646]*) (*NotebookOutlinePosition[ 154512, 4668]*) (* CellTagsIndexPosition[ 154468, 4664]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["The Entropy of Lead", "Title", TextAlignment->Center], Cell["Computational Document", "Text"], Cell["\<\ by George Hardgrove Chemistry Department St. Olaf College Northfield, MN 55057 hardgrov@lars.acc.stolaf.edu\ \>", "Text", TextAlignment->Center], Cell["\<\ The instuctions for using this document are in the file cppbins.mcd\ \>", "Text"], Cell["\<\ \[Copyright] Copyright George Hardgrove 1996-2004. All rights reserved. You \ are welcome to use this document in your own classes but commercial use is \ not allowed without the permission of the author.\ \>", "Text"], Cell[TextData[{ StyleBox["Translated from Mathcad to Mathematica by", FontWeight->"Bold"], ": Laura Rachel Yindra, Journal of Chemical Education, University of \ Wisconsin-Madison, August 2003." }], "Text"], Cell["\<\ The heat capacity data are located in a file called cplead. Values of Cp and \ absolute temperature are read into the computer. The computer then \ calculates values of ds = Cp/T for each temperature.\ \>", "Text"], Cell[BoxData[ \(A := Import["\", "\"]\)], "Input"], Cell["\<\ note: if Mathematica cannot find this file, open and evaluate cplead.nb\ \>", "SmallText"], Cell[BoxData[ \(ndata := Length[A]\)], "Input"], Cell[BoxData[ \(i := Range[0, ndata - 1]\)], "Input"], Cell[BoxData[ \(T := A[\([All, 1]\)]\)], "Input"], Cell[BoxData[ \(Cp := A[\([All, 2]\)]\)], "Input"], Cell[BoxData[ \(dS := Cp/T\)], "Input"], Cell["\<\ This assigns the columns of the A matrix to temperature and heat capacity \ vectors.\ \>", "Text"], Cell["Next view the contents of these vectors.", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(T\)], "Input"], Cell[BoxData[ \({10, 15, 20, 25, 30, 50, 70, 100, 150, 200, 250, 298}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Cp\)], "Input"], Cell[BoxData[ \({2.8`, 7.`, 10.8`, 14.1`, 16.5`, 21.8`, 23.3`, 24.5`, 25.3`, 25.8`, 26.2`, 26.6`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(dS\)], "Input"], Cell[BoxData[ \({0.27999999999999997`, 0.4666666666666667`, 0.54`, 0.564`, 0.55`, 0.436`, 0.33285714285714285`, 0.245`, 0.1686666666666667`, 0.129`, 0.1048`, 0.08926174496644296`}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["Graph Setup", "Subsubtitle"], Cell[BoxData[ \(<< Graphics`MultipleListPlot`\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \($TextStyle = FontColor -> RGBColor[0, 0, 0]\)], "Input"], Cell[BoxData[ \(FontColor \[Rule] RGBColor[0, 0, 0]\)], "Output"] }, Open ]], Cell[BoxData[ \(ta := Table[{T[\([i]\)], Cp[\([i]\)]}, {i, 1, ndata}]\)], "Input"], Cell[BoxData[ \(tb := Table[{T[\([i]\)], dS[\([i]\)]}, {i, 1, ndata}]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(plot1 = MultipleListPlot[ta, Frame \[Rule] True, FrameLabel \[Rule] {"\", "\"}, PlotJoined \[Rule] True, DisplayFunction \[Rule] Identity]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(plot2 = MultipleListPlot[tb, Frame \[Rule] True, FrameLabel \[Rule] {"\", "\"}, PlotJoined \[Rule] True, DisplayFunction \[Rule] Identity]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Graph", "Subsubtitle"], Cell[CellGroupData[{ Cell[BoxData[ \(Show[GraphicsArray[{plot1, plot2}], DisplayFunction \[Rule] $DisplayFunction]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .2943 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.47619 0.00700719 0.47619 [ [ 0 0 0 0 ] [ 1 .2943 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .2943 L 0 .2943 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.00700719 0.477324 0.287295 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00319591 0.0147151 0.022128 [ [.02381 -0.0125 -5.625 -14.8125 ] [.02381 -0.0125 5.625 0 ] [.1836 -0.0125 -9.25 -14.8125 ] [.1836 -0.0125 9.25 0 ] [.3434 -0.0125 -12.875 -14.8125 ] [.3434 -0.0125 12.875 0 ] [.5032 -0.0125 -12.875 -14.8125 ] [.5032 -0.0125 12.875 0 ] [.66299 -0.0125 -12.875 -14.8125 ] [.66299 -0.0125 12.875 0 ] [.82279 -0.0125 -12.875 -14.8125 ] [.82279 -0.0125 12.875 0 ] [.98258 -0.0125 -12.875 -14.8125 ] [.98258 -0.0125 12.875 0 ] [ 0 0 -0.125 0 ] [.5 -0.0125 -5.625 -29.625 ] [.5 -0.0125 5.625 -14.8125 ] [-0.0125 .01472 -11.25 -7.40625 ] [-0.0125 .01472 0 7.40625 ] [-0.0125 .12535 -11.25 -7.40625 ] [-0.0125 .12535 0 7.40625 ] [-0.0125 .23599 -18.5 -7.40625 ] [-0.0125 .23599 0 7.40625 ] [-0.0125 .34663 -18.5 -7.40625 ] [-0.0125 .34663 0 7.40625 ] [-0.0125 .45727 -18.5 -7.40625 ] [-0.0125 .45727 0 7.40625 ] [-0.0125 .56791 -18.5 -7.40625 ] [-0.0125 .56791 0 7.40625 ] [ 0 0 -0.125 0 ] [-0.01875 .30902 -33.3125 -9.25 ] [-0.01875 .30902 -18.5 9.25 ] [ 0 .61803 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02381 0 m .02381 .00625 L s gsave .02381 -0.0125 -66.625 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0) show 1.000 setlinewidth grestore .1836 0 m .1836 .00625 L s gsave .1836 -0.0125 -70.25 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (50) show 1.000 setlinewidth grestore .3434 0 m .3434 .00625 L s gsave .3434 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (100) show 1.000 setlinewidth grestore .5032 0 m .5032 .00625 L s gsave .5032 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (150) show 1.000 setlinewidth grestore .66299 0 m .66299 .00625 L s gsave .66299 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (200) show 1.000 setlinewidth grestore .82279 0 m .82279 .00625 L s gsave .82279 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (250) show 1.000 setlinewidth grestore .98258 0 m .98258 .00625 L s gsave .98258 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (300) show 1.000 setlinewidth grestore .125 Mabswid .05577 0 m .05577 .00375 L s .08773 0 m .08773 .00375 L s .11969 0 m .11969 .00375 L s .15165 0 m .15165 .00375 L s .21556 0 m .21556 .00375 L s .24752 0 m .24752 .00375 L s .27948 0 m .27948 .00375 L s .31144 0 m .31144 .00375 L s .37536 0 m .37536 .00375 L s .40732 0 m .40732 .00375 L s .43928 0 m .43928 .00375 L s .47124 0 m .47124 .00375 L s .53516 0 m .53516 .00375 L s .56711 0 m .56711 .00375 L s .59907 0 m .59907 .00375 L s .63103 0 m .63103 .00375 L s .69495 0 m .69495 .00375 L s .72691 0 m .72691 .00375 L s .75887 0 m .75887 .00375 L s .79083 0 m .79083 .00375 L s .85475 0 m .85475 .00375 L s .88671 0 m .88671 .00375 L s .91866 0 m .91866 .00375 L s .95062 0 m .95062 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave .5 -0.0125 -66.625 -33.625 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (T) show 70.250 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 .01472 m .00625 .01472 L s gsave -0.0125 .01472 -72.25 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0) show 1.000 setlinewidth grestore 0 .12535 m .00625 .12535 L s gsave -0.0125 .12535 -72.25 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (5) show 1.000 setlinewidth grestore 0 .23599 m .00625 .23599 L s gsave -0.0125 .23599 -79.5 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (10) show 1.000 setlinewidth grestore 0 .34663 m .00625 .34663 L s gsave -0.0125 .34663 -79.5 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (15) show 1.000 setlinewidth grestore 0 .45727 m .00625 .45727 L s gsave -0.0125 .45727 -79.5 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (20) show 1.000 setlinewidth grestore 0 .56791 m .00625 .56791 L s gsave -0.0125 .56791 -79.5 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (25) show 1.000 setlinewidth grestore .125 Mabswid 0 .03684 m .00375 .03684 L s 0 .05897 m .00375 .05897 L s 0 .0811 m .00375 .0811 L s 0 .10323 m .00375 .10323 L s 0 .14748 m .00375 .14748 L s 0 .16961 m .00375 .16961 L s 0 .19174 m .00375 .19174 L s 0 .21387 m .00375 .21387 L s 0 .25812 m .00375 .25812 L s 0 .28025 m .00375 .28025 L s 0 .30238 m .00375 .30238 L s 0 .32451 m .00375 .32451 L s 0 .36876 m .00375 .36876 L s 0 .39089 m .00375 .39089 L s 0 .41302 m .00375 .41302 L s 0 .43515 m .00375 .43515 L s 0 .4794 m .00375 .4794 L s 0 .50153 m .00375 .50153 L s 0 .52366 m .00375 .52366 L s 0 .54579 m .00375 .54579 L s 0 .59004 m .00375 .59004 L s 0 .61217 m .00375 .61217 L s .25 Mabswid 0 0 m 0 .61803 L s gsave -0.01875 .30902 -96.1563 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 70.25 11.4063 translate 90 rotate -70.25 -11.4063 translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (Cp) show 77.500 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .02381 .61178 m .02381 .61803 L s .1836 .61178 m .1836 .61803 L s .3434 .61178 m .3434 .61803 L s .5032 .61178 m .5032 .61803 L s .66299 .61178 m .66299 .61803 L s .82279 .61178 m .82279 .61803 L s .98258 .61178 m .98258 .61803 L s .125 Mabswid .05577 .61428 m .05577 .61803 L s .08773 .61428 m .08773 .61803 L s .11969 .61428 m .11969 .61803 L s .15165 .61428 m .15165 .61803 L s .21556 .61428 m .21556 .61803 L s .24752 .61428 m .24752 .61803 L s .27948 .61428 m .27948 .61803 L s .31144 .61428 m .31144 .61803 L s .37536 .61428 m .37536 .61803 L s .40732 .61428 m .40732 .61803 L s .43928 .61428 m .43928 .61803 L s .47124 .61428 m .47124 .61803 L s .53516 .61428 m .53516 .61803 L s .56711 .61428 m .56711 .61803 L s .59907 .61428 m .59907 .61803 L s .63103 .61428 m .63103 .61803 L s .69495 .61428 m .69495 .61803 L s .72691 .61428 m .72691 .61803 L s .75887 .61428 m .75887 .61803 L s .79083 .61428 m .79083 .61803 L s .85475 .61428 m .85475 .61803 L s .88671 .61428 m .88671 .61803 L s .91866 .61428 m .91866 .61803 L s .95062 .61428 m .95062 .61803 L s .25 Mabswid 0 .61803 m 1 .61803 L s .99375 .01472 m 1 .01472 L s .99375 .12535 m 1 .12535 L s .99375 .23599 m 1 .23599 L s .99375 .34663 m 1 .34663 L s .99375 .45727 m 1 .45727 L s .99375 .56791 m 1 .56791 L s .125 Mabswid .99625 .03684 m 1 .03684 L s .99625 .05897 m 1 .05897 L s .99625 .0811 m 1 .0811 L s .99625 .10323 m 1 .10323 L s .99625 .14748 m 1 .14748 L s .99625 .16961 m 1 .16961 L s .99625 .19174 m 1 .19174 L s .99625 .21387 m 1 .21387 L s .99625 .25812 m 1 .25812 L s .99625 .28025 m 1 .28025 L s .99625 .30238 m 1 .30238 L s .99625 .32451 m 1 .32451 L s .99625 .36876 m 1 .36876 L s .99625 .39089 m 1 .39089 L s .99625 .41302 m 1 .41302 L s .99625 .43515 m 1 .43515 L s .99625 .4794 m 1 .4794 L s .99625 .50153 m 1 .50153 L s .99625 .52366 m 1 .52366 L s .99625 .54579 m 1 .54579 L s .99625 .59004 m 1 .59004 L s .99625 .61217 m 1 .61217 L s .25 Mabswid 1 0 m 1 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .001 w .05577 .07667 m .07175 .16961 L .08773 .2537 L .10371 .32672 L .11969 .37983 L .1836 .4971 L .24752 .5303 L .3434 .55685 L .5032 .57455 L .66299 .58562 L .82279 .59447 L .97619 .60332 L s .0001 w .05577 .07667 -1.875 0 Mabsadd m .05577 .07667 0 2.5 Mabsadd L .05577 .07667 1.875 0 Mabsadd L .05577 .07667 0 -2.5 Mabsadd L .05577 .07667 -1.875 0 Mabsadd L closepath F .07175 .16961 -1.875 0 Mabsadd m .07175 .16961 0 2.5 Mabsadd L .07175 .16961 1.875 0 Mabsadd L .07175 .16961 0 -2.5 Mabsadd L .07175 .16961 -1.875 0 Mabsadd L closepath F .08773 .2537 -1.875 0 Mabsadd m .08773 .2537 0 2.5 Mabsadd L .08773 .2537 1.875 0 Mabsadd L .08773 .2537 0 -2.5 Mabsadd L .08773 .2537 -1.875 0 Mabsadd L closepath F .10371 .32672 -1.875 0 Mabsadd m .10371 .32672 0 2.5 Mabsadd L .10371 .32672 1.875 0 Mabsadd L .10371 .32672 0 -2.5 Mabsadd L .10371 .32672 -1.875 0 Mabsadd L closepath F .11969 .37983 -1.875 0 Mabsadd m .11969 .37983 0 2.5 Mabsadd L .11969 .37983 1.875 0 Mabsadd L .11969 .37983 0 -2.5 Mabsadd L .11969 .37983 -1.875 0 Mabsadd L closepath F .1836 .4971 -1.875 0 Mabsadd m .1836 .4971 0 2.5 Mabsadd L .1836 .4971 1.875 0 Mabsadd L .1836 .4971 0 -2.5 Mabsadd L .1836 .4971 -1.875 0 Mabsadd L closepath F .24752 .5303 -1.875 0 Mabsadd m .24752 .5303 0 2.5 Mabsadd L .24752 .5303 1.875 0 Mabsadd L .24752 .5303 0 -2.5 Mabsadd L .24752 .5303 -1.875 0 Mabsadd L closepath F .3434 .55685 -1.875 0 Mabsadd m .3434 .55685 0 2.5 Mabsadd L .3434 .55685 1.875 0 Mabsadd L .3434 .55685 0 -2.5 Mabsadd L .3434 .55685 -1.875 0 Mabsadd L closepath F .5032 .57455 -1.875 0 Mabsadd m .5032 .57455 0 2.5 Mabsadd L .5032 .57455 1.875 0 Mabsadd L .5032 .57455 0 -2.5 Mabsadd L .5032 .57455 -1.875 0 Mabsadd L closepath F .66299 .58562 -1.875 0 Mabsadd m .66299 .58562 0 2.5 Mabsadd L .66299 .58562 1.875 0 Mabsadd L .66299 .58562 0 -2.5 Mabsadd L .66299 .58562 -1.875 0 Mabsadd L closepath F .82279 .59447 -1.875 0 Mabsadd m .82279 .59447 0 2.5 Mabsadd L .82279 .59447 1.875 0 Mabsadd L .82279 .59447 0 -2.5 Mabsadd L .82279 .59447 -1.875 0 Mabsadd L closepath F .97619 .60332 -1.875 0 Mabsadd m .97619 .60332 0 2.5 Mabsadd L .97619 .60332 1.875 0 Mabsadd L .97619 .60332 0 -2.5 Mabsadd L .97619 .60332 -1.875 0 Mabsadd L closepath F MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.522676 0.00700719 0.97619 0.287295 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00319591 0.0147151 1.04362 [ [.02381 -0.0125 -5.625 -14.8125 ] [.02381 -0.0125 5.625 0 ] [.1836 -0.0125 -9.25 -14.8125 ] [.1836 -0.0125 9.25 0 ] [.3434 -0.0125 -12.875 -14.8125 ] [.3434 -0.0125 12.875 0 ] [.5032 -0.0125 -12.875 -14.8125 ] [.5032 -0.0125 12.875 0 ] [.66299 -0.0125 -12.875 -14.8125 ] [.66299 -0.0125 12.875 0 ] [.82279 -0.0125 -12.875 -14.8125 ] [.82279 -0.0125 12.875 0 ] [.98258 -0.0125 -12.875 -14.8125 ] [.98258 -0.0125 12.875 0 ] [ 0 0 -0.125 0 ] [.5 -0.0125 -5.625 -29.625 ] [.5 -0.0125 5.625 -14.8125 ] [-0.0125 .01472 -11.25 -7.40625 ] [-0.0125 .01472 0 7.40625 ] [-0.0125 .11908 -25.75 -7.40625 ] [-0.0125 .11908 0 7.40625 ] [-0.0125 .22344 -25.75 -7.40625 ] [-0.0125 .22344 0 7.40625 ] [-0.0125 .3278 -25.75 -7.40625 ] [-0.0125 .3278 0 7.40625 ] [-0.0125 .43216 -25.75 -7.40625 ] [-0.0125 .43216 0 7.40625 ] [-0.0125 .53653 -25.75 -7.40625 ] [-0.0125 .53653 0 7.40625 ] [ 0 0 -0.125 0 ] [-0.01875 .30902 -40.5625 -9.25 ] [-0.01875 .30902 -25.75 9.25 ] [ 0 .61803 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02381 0 m .02381 .00625 L s gsave .02381 -0.0125 -66.625 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0) show 1.000 setlinewidth grestore .1836 0 m .1836 .00625 L s gsave .1836 -0.0125 -70.25 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (50) show 1.000 setlinewidth grestore .3434 0 m .3434 .00625 L s gsave .3434 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (100) show 1.000 setlinewidth grestore .5032 0 m .5032 .00625 L s gsave .5032 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (150) show 1.000 setlinewidth grestore .66299 0 m .66299 .00625 L s gsave .66299 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (200) show 1.000 setlinewidth grestore .82279 0 m .82279 .00625 L s gsave .82279 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (250) show 1.000 setlinewidth grestore .98258 0 m .98258 .00625 L s gsave .98258 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (300) show 1.000 setlinewidth grestore .125 Mabswid .05577 0 m .05577 .00375 L s .08773 0 m .08773 .00375 L s .11969 0 m .11969 .00375 L s .15165 0 m .15165 .00375 L s .21556 0 m .21556 .00375 L s .24752 0 m .24752 .00375 L s .27948 0 m .27948 .00375 L s .31144 0 m .31144 .00375 L s .37536 0 m .37536 .00375 L s .40732 0 m .40732 .00375 L s .43928 0 m .43928 .00375 L s .47124 0 m .47124 .00375 L s .53516 0 m .53516 .00375 L s .56711 0 m .56711 .00375 L s .59907 0 m .59907 .00375 L s .63103 0 m .63103 .00375 L s .69495 0 m .69495 .00375 L s .72691 0 m .72691 .00375 L s .75887 0 m .75887 .00375 L s .79083 0 m .79083 .00375 L s .85475 0 m .85475 .00375 L s .88671 0 m .88671 .00375 L s .91866 0 m .91866 .00375 L s .95062 0 m .95062 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave .5 -0.0125 -66.625 -33.625 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (T) show 70.250 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 .01472 m .00625 .01472 L s gsave -0.0125 .01472 -72.25 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0) show 1.000 setlinewidth grestore 0 .11908 m .00625 .11908 L s gsave -0.0125 .11908 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.1) show 1.000 setlinewidth grestore 0 .22344 m .00625 .22344 L s gsave -0.0125 .22344 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore 0 .3278 m .00625 .3278 L s gsave -0.0125 .3278 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.3) show 1.000 setlinewidth grestore 0 .43216 m .00625 .43216 L s gsave -0.0125 .43216 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore 0 .53653 m .00625 .53653 L s gsave -0.0125 .53653 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .125 Mabswid 0 .03559 m .00375 .03559 L s 0 .05646 m .00375 .05646 L s 0 .07733 m .00375 .07733 L s 0 .0982 m .00375 .0982 L s 0 .13995 m .00375 .13995 L s 0 .16082 m .00375 .16082 L s 0 .18169 m .00375 .18169 L s 0 .20257 m .00375 .20257 L s 0 .24431 m .00375 .24431 L s 0 .26518 m .00375 .26518 L s 0 .28606 m .00375 .28606 L s 0 .30693 m .00375 .30693 L s 0 .34867 m .00375 .34867 L s 0 .36955 m .00375 .36955 L s 0 .39042 m .00375 .39042 L s 0 .41129 m .00375 .41129 L s 0 .45304 m .00375 .45304 L s 0 .47391 m .00375 .47391 L s 0 .49478 m .00375 .49478 L s 0 .51565 m .00375 .51565 L s 0 .5574 m .00375 .5574 L s 0 .57827 m .00375 .57827 L s 0 .59914 m .00375 .59914 L s .25 Mabswid 0 0 m 0 .61803 L s gsave -0.01875 .30902 -103.406 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 70.25 11.4063 translate 90 rotate -70.25 -11.4063 translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (dS) show 77.500 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .02381 .61178 m .02381 .61803 L s .1836 .61178 m .1836 .61803 L s .3434 .61178 m .3434 .61803 L s .5032 .61178 m .5032 .61803 L s .66299 .61178 m .66299 .61803 L s .82279 .61178 m .82279 .61803 L s .98258 .61178 m .98258 .61803 L s .125 Mabswid .05577 .61428 m .05577 .61803 L s .08773 .61428 m .08773 .61803 L s .11969 .61428 m .11969 .61803 L s .15165 .61428 m .15165 .61803 L s .21556 .61428 m .21556 .61803 L s .24752 .61428 m .24752 .61803 L s .27948 .61428 m .27948 .61803 L s .31144 .61428 m .31144 .61803 L s .37536 .61428 m .37536 .61803 L s .40732 .61428 m .40732 .61803 L s .43928 .61428 m .43928 .61803 L s .47124 .61428 m .47124 .61803 L s .53516 .61428 m .53516 .61803 L s .56711 .61428 m .56711 .61803 L s .59907 .61428 m .59907 .61803 L s .63103 .61428 m .63103 .61803 L s .69495 .61428 m .69495 .61803 L s .72691 .61428 m .72691 .61803 L s .75887 .61428 m .75887 .61803 L s .79083 .61428 m .79083 .61803 L s .85475 .61428 m .85475 .61803 L s .88671 .61428 m .88671 .61803 L s .91866 .61428 m .91866 .61803 L s .95062 .61428 m .95062 .61803 L s .25 Mabswid 0 .61803 m 1 .61803 L s .99375 .01472 m 1 .01472 L s .99375 .11908 m 1 .11908 L s .99375 .22344 m 1 .22344 L s .99375 .3278 m 1 .3278 L s .99375 .43216 m 1 .43216 L s .99375 .53653 m 1 .53653 L s .125 Mabswid .99625 .03559 m 1 .03559 L s .99625 .05646 m 1 .05646 L s .99625 .07733 m 1 .07733 L s .99625 .0982 m 1 .0982 L s .99625 .13995 m 1 .13995 L s .99625 .16082 m 1 .16082 L s .99625 .18169 m 1 .18169 L s .99625 .20257 m 1 .20257 L s .99625 .24431 m 1 .24431 L s .99625 .26518 m 1 .26518 L s .99625 .28606 m 1 .28606 L s .99625 .30693 m 1 .30693 L s .99625 .34867 m 1 .34867 L s .99625 .36955 m 1 .36955 L s .99625 .39042 m 1 .39042 L s .99625 .41129 m 1 .41129 L s .99625 .45304 m 1 .45304 L s .99625 .47391 m 1 .47391 L s .99625 .49478 m 1 .49478 L s .99625 .51565 m 1 .51565 L s .99625 .5574 m 1 .5574 L s .99625 .57827 m 1 .57827 L s .99625 .59914 m 1 .59914 L s .25 Mabswid 1 0 m 1 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .001 w .05577 .30693 m .07175 .50174 L .08773 .57827 L .10371 .60332 L .11969 .58871 L .1836 .46974 L .24752 .36209 L .3434 .2704 L .5032 .19074 L .66299 .14934 L .82279 .12409 L .97619 .10787 L s .0001 w .05577 .30693 -1.875 0 Mabsadd m .05577 .30693 0 2.5 Mabsadd L .05577 .30693 1.875 0 Mabsadd L .05577 .30693 0 -2.5 Mabsadd L .05577 .30693 -1.875 0 Mabsadd L closepath F .07175 .50174 -1.875 0 Mabsadd m .07175 .50174 0 2.5 Mabsadd L .07175 .50174 1.875 0 Mabsadd L .07175 .50174 0 -2.5 Mabsadd L .07175 .50174 -1.875 0 Mabsadd L closepath F .08773 .57827 -1.875 0 Mabsadd m .08773 .57827 0 2.5 Mabsadd L .08773 .57827 1.875 0 Mabsadd L .08773 .57827 0 -2.5 Mabsadd L .08773 .57827 -1.875 0 Mabsadd L closepath F .10371 .60332 -1.875 0 Mabsadd m .10371 .60332 0 2.5 Mabsadd L .10371 .60332 1.875 0 Mabsadd L .10371 .60332 0 -2.5 Mabsadd L .10371 .60332 -1.875 0 Mabsadd L closepath F .11969 .58871 -1.875 0 Mabsadd m .11969 .58871 0 2.5 Mabsadd L .11969 .58871 1.875 0 Mabsadd L .11969 .58871 0 -2.5 Mabsadd L .11969 .58871 -1.875 0 Mabsadd L closepath F .1836 .46974 -1.875 0 Mabsadd m .1836 .46974 0 2.5 Mabsadd L .1836 .46974 1.875 0 Mabsadd L .1836 .46974 0 -2.5 Mabsadd L .1836 .46974 -1.875 0 Mabsadd L closepath F .24752 .36209 -1.875 0 Mabsadd m .24752 .36209 0 2.5 Mabsadd L .24752 .36209 1.875 0 Mabsadd L .24752 .36209 0 -2.5 Mabsadd L .24752 .36209 -1.875 0 Mabsadd L closepath F .3434 .2704 -1.875 0 Mabsadd m .3434 .2704 0 2.5 Mabsadd L .3434 .2704 1.875 0 Mabsadd L .3434 .2704 0 -2.5 Mabsadd L .3434 .2704 -1.875 0 Mabsadd L closepath F .5032 .19074 -1.875 0 Mabsadd m .5032 .19074 0 2.5 Mabsadd L .5032 .19074 1.875 0 Mabsadd L .5032 .19074 0 -2.5 Mabsadd L .5032 .19074 -1.875 0 Mabsadd L closepath F .66299 .14934 -1.875 0 Mabsadd m .66299 .14934 0 2.5 Mabsadd L .66299 .14934 1.875 0 Mabsadd L .66299 .14934 0 -2.5 Mabsadd L .66299 .14934 -1.875 0 Mabsadd L closepath F .82279 .12409 -1.875 0 Mabsadd m .82279 .12409 0 2.5 Mabsadd L .82279 .12409 1.875 0 Mabsadd L .82279 .12409 0 -2.5 Mabsadd L .82279 .12409 -1.875 0 Mabsadd L closepath F .97619 .10787 -1.875 0 Mabsadd m .97619 .10787 0 2.5 Mabsadd L .97619 .10787 1.875 0 Mabsadd L .97619 .10787 0 -2.5 Mabsadd L .97619 .10787 -1.875 0 Mabsadd L closepath F MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{615, 180.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg`3oool01@000000oooo0?ooo`3oool0000001/0 oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo0?ooo`0000005P3oool0 0`000000oooo0?ooo`020?ooo`050000003oool0oooo0?ooo`0000000P3oool01@000000oooo0?oo o`3oool0000001<0oooo00<000000?ooo`3oool00P3oool01@000000oooo0?ooo`3oool000000080 oooo00D000000?ooo`3oool0oooo0000000A0?ooo`050000003oool0oooo0?ooo`0000000P3oool0 1@000000oooo0?ooo`3oool000000080oooo00D000000?ooo`3oool0oooo0000000A0?ooo`050000 003oool0oooo0?ooo`0000000P3oool01@000000oooo0?ooo`3oool000000080oooo00D000000?oo o`3oool0oooo0000000A0?ooo`050000003oool0oooo0?ooo`0000000P3oool01@000000oooo0?oo o`3oool000000080oooo00D000000?ooo`3oool0oooo0000001B0?ooo`050000003oool0oooo0?oo o`0000006`3oool01@000000oooo0?ooo`3oool000000080oooo00D000000?ooo`3oool0oooo0000 000F0?ooo`030000003oool0oooo0080oooo00D000000?ooo`3oool0oooo000000020?ooo`050000 003oool0oooo0?ooo`0000004`3oool00`000000oooo0?ooo`020?ooo`050000003oool0oooo0?oo o`0000000P3oool01@000000oooo0?ooo`3oool000000100oooo00D000000?ooo`3oool0oooo0000 00020?ooo`050000003oool0oooo0?ooo`0000000P3oool01@000000oooo0?ooo`3oool000000140 oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo0?ooo`0000000P3oool0 1@000000oooo0?ooo`3oool000000140oooo00D000000?ooo`3oool0oooo000000020?ooo`050000 003oool0oooo0?ooo`0000000P3oool01@000000oooo0?ooo`3oool0000001D0oooo000k0?ooo`05 0000003oool0oooo0?ooo`0000007`3oool010000000oooo0?ooo`0000030?ooo`030000003oool0 oooo01@0oooo00<000000?ooo`3oool00P3oool01@000000oooo0?ooo`3oool000000080oooo00D0 00000?ooo`3oool0oooo0000000C0?ooo`030000003oool0oooo00H0oooo00@000000?ooo`3oool0 00000`3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo00<0oooo00D000000?ooo`3o ool0oooo000000020?ooo`050000003oool0oooo0?ooo`0000004P3oool00`000000oooo0?ooo`07 0?ooo`040000003oool0oooo000000<0oooo00<000000?ooo`3oool04`3oool010000000oooo0?oo o`0000030?ooo`040000003oool0oooo000000<0oooo00<000000?ooo`3oool0D03oool01@000000 oooo0?ooo`3oool0000001l0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`0D 0?ooo`030000003oool0oooo0080oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003o ool0oooo0?ooo`0000004`3oool00`000000oooo0?ooo`060?ooo`040000003oool0oooo000000<0 oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`030?ooo`050000003oool0oooo0?oo o`0000000P3oool01@000000oooo0?ooo`3oool000000180oooo00<000000?ooo`3oool01`3oool0 10000000oooo0?ooo`0000030?ooo`030000003oool0oooo01<0oooo00@000000?ooo`3oool00000 0`3oool010000000oooo0?ooo`0000030?ooo`030000003oool0oooo01<0oooo000k0?ooo`050000 003oool0oooo0?ooo`0000007`3oool010000000oooo0?ooo`0000030?ooo`030000003oool0oooo 01@0oooo00<000000?ooo`3oool00P3oool01@000000oooo0?ooo`3oool000000080oooo00D00000 0?ooo`3oool0oooo0000000C0?ooo`030000003oool0oooo00H0oooo00@000000?ooo`3oool00000 0`3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0080oooo00D000000?ooo`3oool0 oooo000000020?ooo`050000003oool0oooo0?ooo`0000004`3oool00`000000oooo0?ooo`060?oo o`040000003oool0oooo000000<0oooo00<000000?ooo`3oool04`3oool010000000oooo0?ooo`00 00030?ooo`040000003oool0oooo000000<0oooo00<000000?ooo`3oool0D03oool01@000000oooo 0?ooo`3oool0000001l0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`0D0?oo o`030000003oool0oooo0080oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0 oooo0?ooo`0000004`3oool00`000000oooo0?ooo`060?ooo`040000003oool0oooo000000<0oooo 00<000000?ooo`3oool0403oool00`000000oooo0?ooo`020?ooo`050000003oool0oooo0?ooo`00 00000P3oool01@000000oooo0?ooo`3oool0000001<0oooo00<000000?ooo`3oool01P3oool01000 0000oooo0?ooo`0000030?ooo`030000003oool0oooo01<0oooo00@000000?ooo`3oool000000`3o ool010000000oooo0?ooo`0000030?ooo`030000003oool0oooo01<0oooo000k0?ooo`050000003o ool0oooo0?ooo`000000703oool3000000<0oooo00D000000?ooo`3oool0oooo0000000F0?ooo`03 0000003oool0oooo0080oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo 0?ooo`0000004`3oool00`000000oooo0?ooo`030?ooo`<000000`3oool01@000000oooo0?ooo`3o ool0000001@0oooo00D000000?ooo`3oool0oooo000000030?ooo`040000003oool0oooo000000<0 oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`020?ooo`<000000`3oool01@000000 oooo0?ooo`3oool0000001<0oooo0P0000030?ooo`050000003oool0oooo0?ooo`0000000P3oool0 1@000000oooo0?ooo`3oool000000580oooo00D000000?ooo`3oool0oooo0000000L0?ooo`<00000 0`3oool01@000000oooo0?ooo`3oool0000001H0oooo00<000000?ooo`3oool00P3oool01@000000 oooo0?ooo`3oool000000080oooo00D000000?ooo`3oool0oooo0000000C0?ooo`030000003oool0 oooo00<0oooo0`0000030?ooo`050000003oool0oooo0?ooo`0000004`3oool01@000000oooo0?oo o`3oool0000000<0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`0B0?ooo`03 0000003oool0oooo0080oooo0`0000030?ooo`050000003oool0oooo0?ooo`0000004`3oool20000 00<0oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo0?ooo`0000005@3o ool003/0oooo00D000000?ooo`3oool0oooo0000000L0?ooo`030000003oool0oooo00<0oooo00D0 00000?ooo`3oool0oooo0000000F0?ooo`030000003oool0oooo0080oooo00D000000?ooo`3oool0 oooo000000020?ooo`050000003oool0oooo0?ooo`0000004`3oool00`000000oooo0?ooo`030?oo o`030000003oool0oooo00<0oooo00D000000?ooo`3oool0oooo0000000E0?ooo`040000003oool0 oooo000000<0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`0C0?ooo`050000 003oool0oooo0?ooo`0000001@3oool01@000000oooo0?ooo`3oool0000001D0oooo00@000000?oo o`3oool000000`3oool010000000oooo0?ooo`0000030?ooo`030000003oool0oooo0500oooo00D0 00000?ooo`3oool0oooo0000000L0?ooo`030000003oool0oooo00<0oooo00D000000?ooo`3oool0 oooo0000000F0?ooo`030000003oool0oooo0080oooo00D000000?ooo`3oool0oooo000000020?oo o`050000003oool0oooo0?ooo`0000004`3oool00`000000oooo0?ooo`030?ooo`030000003oool0 oooo00<0oooo00D000000?ooo`3oool0oooo0000000D0?ooo`040000003oool0oooo000000<0oooo 00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`0C0?ooo`050000003oool0oooo0?oo o`0000001@3oool01@000000oooo0?ooo`3oool0000001D0oooo00@000000?ooo`3oool000000`3o ool010000000oooo0?ooo`0000030?ooo`030000003oool0oooo01<0oooo000k0?ooo`050000003o ool0oooo0?ooo`000000703oool00`000000oooo0?ooo`030?ooo`050000003oool0oooo0?ooo`00 00005P3oool00`000000oooo0?ooo`020?ooo`050000003oool0oooo0?ooo`0000000P3oool01@00 0000oooo0?ooo`3oool0000001<0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`03 0?ooo`050000003oool0oooo0?ooo`0000004@3oool01@000000oooo0?ooo`3oool000000080oooo 00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo0?ooo`0000004@3oool01@00 0000oooo0?ooo`3oool0000000<0oooo00<000000?ooo`3oool00`3oool01@000000oooo0?ooo`3o ool000000140oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo0?ooo`00 00000P3oool01@000000oooo0?ooo`3oool000000580oooo00D000000?ooo`3oool0oooo0000000L 0?ooo`030000003oool0oooo00<0oooo00D000000?ooo`3oool0oooo0000000F0?ooo`030000003o ool0oooo0080oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo0?ooo`00 00004`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00<0oooo00D000000?ooo`3o ool0oooo0000000@0?ooo`050000003oool0oooo0?ooo`0000000P3oool01@000000oooo0?ooo`3o ool000000080oooo00D000000?ooo`3oool0oooo0000000A0?ooo`050000003oool0oooo0?ooo`00 00000`3oool00`000000oooo0?ooo`030?ooo`050000003oool0oooo0?ooo`0000004@3oool01@00 0000oooo0?ooo`3oool000000080oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003o ool0oooo0?ooo`0000005@3oool003`0oooo0`00000M0?ooo`@000000`3oool3000001H0oooo0P00 00050?ooo`<00000103oool3000001<0oooo0P0000050?ooo`@000000`3oool3000001<0oooo0`00 00040?ooo`<00000103oool3000001<0oooo0`0000040?ooo`@000000`3oool3000001<0oooo0`00 00040?ooo`<00000103oool3000005@0oooo0`00000M0?ooo`@000000`3oool3000001H0oooo0P00 00050?ooo`<00000103oool3000001<0oooo0P0000050?ooo`@000000`3oool300000180oooo0`00 00040?ooo`<00000103oool3000001<0oooo0`0000040?ooo`@000000`3oool3000001<0oooo0`00 00040?ooo`<00000103oool3000001H0oooo003o0?ooool0ooooJ@3oool00?l0ooooo`3ooomY0?oo o`00o`3ooooo0?ooofT0oooo003o0?ooool0ooooJ@3oool003P0oooohP00003o0?ooodh0oooo000h 0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`05 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`05 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`05 0?ooo`030000003oool0oooo00@0oooo00D000000?ooo`3oool0oooo0000001C0?ooon4000006@3o ool002h0oooo0`0000070?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool08@3oool0 0`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool08@3oool0 0`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0240oooo00D000000?ooo`3oool0oooo0000 00190?ooo`<000001`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool01@3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00D0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool01@3oool00`000000oooo0?ooo`040?ooo`050000003oool0oooo0?ooo`000000 6@3oool002d0oooo00D000000?ooo`3oool0oooo000000060?ooo`030000003oool0oooo0=h0oooo 00<000000?ooo`3oool0AP3oool01@000000oooo0?ooo`3oool0000000H0oooo00<000000?ooo`3o ool0g@3oool00`000000oooo0?ooo`0G0?ooo`00;@3oool01@000000oooo0?ooo`3oool0000000H0 oooo0P00003M0?ooo`<00000B03oool01@000000oooo0?ooo`3oool0000000H0oooo0P00003L0?oo o`<000006@3oool002d0oooo00D000000?ooo`3oool0oooo000000060?ooo`030000003oool0oooo 0=h0oooo00<000000?ooo`3oool0AP3oool01@000000oooo0?ooo`3oool0000000H0oooo00<00000 0?ooo`3oool0g@3oool00`000000oooo0?ooo`0G0?ooo`00;@3oool01@000000oooo0?ooo`3oool0 000000H0oooo00<000000?ooo`3oool0gP3oool00`000000oooo0?ooo`160?ooo`050000003oool0 oooo0?ooo`0000001P3oool00`000000oooo0?ooo`3M0?ooo`030000003oool0oooo01L0oooo000] 0?ooo`050000003oool0oooo0?ooo`0000001P3oool00`000000oooo0?ooo`3N0?ooo`030000003o ool0oooo04H0oooo00D000000?ooo`3oool0oooo000000060?ooo`030000003oool0oooo0=d0oooo 00<000000?ooo`3oool05`3oool002d0oooo00D000000?ooo`3oool0oooo000000060?ooo`030000 003oool0oooo0=h0oooo00<000000?ooo`3oool0AP3oool01@000000oooo0?ooo`3oool0000000H0 oooo00<000000?ooo`3oool0g@3oool00`000000oooo0?ooo`0G0?ooo`00;P3oool3000000L0oooo 0P00003N0?ooo`800000B@3oool3000000L0oooo0P00003M0?ooo`8000006@3oool003P0oooo00<0 00000?ooo`3oool0gP3oool00`000000oooo0?ooo`1A0?ooo`030000003oool0oooo0=d0oooo00<0 00000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool0gP3oool00`000000oooo0?ooo`1A 0?ooo`030000003oool0oooo0=d0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?oo o`3oool0gP3oool00`000000oooo0?ooo`1A0?ooo`030000003oool0oooo0=d0oooo00<000000?oo o`3oool05`3oool003P0oooo00<000000?ooo`3oool0gP3oool00`000000oooo0?ooo`1A0?ooo`80 0000g@3oool2000001T0oooo000h0?ooo`800000gP3oool2000005<0oooo00<000000?ooo`3oool0 g@3oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`3N0?ooo`030000003o ool0oooo0540oooo00<000000?ooo`3oool0g@3oool00`000000oooo0?ooo`0G0?ooo`00>03oool0 0`000000oooo0?ooo`090?ooo`030000003oool0oooo0=80oooo00<000000?ooo`3oool0D@3oool0 0`000000oooo0?ooo`3M0?ooo`030000003oool0oooo01L0oooo000h0?ooo`030000003oool0oooo 00T0oooo0P00003C0?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool0g@3oool00`00 0000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`080?ooo`<00000d`3oool00`000000 oooo0?ooo`1A0?ooo`800000g@3oool2000001T0oooo000h0?ooo`8000002P3oool00`000000oooo 0?ooo`3A0?ooo`800000D`3oool00`000000oooo0?ooo`3M0?ooo`030000003oool0oooo01L0oooo 000h0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool0dP3oool00`000000oooo0?oo o`1A0?ooo`030000003oool0oooo0=d0oooo00<000000?ooo`3oool05`3oool003P0oooo00<00000 0?ooo`3oool02P3oool00`000000oooo0?ooo`3A0?ooo`030000003oool0oooo0540oooo00<00000 0?ooo`3oool0g@3oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`0:0?oo o`030000003oool0oooo0=40oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`3M0?oo o`030000003oool0oooo01L0oooo000h0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3o ool0d@3oool00`000000oooo0?ooo`1A0?ooo`800000f03oool00`000000oooo0?ooo`020?ooo`80 00006@3oool003P0oooo0P00000;0?ooo`030000003oool0oooo0=00oooo0P00001C0?ooo`030000 003oool0oooo0=H0oooo0`0000040?ooo`030000003oool0oooo01L0oooo000h0?ooo`030000003o ool0oooo00X0oooo00<000000?ooo`3oool0d@3oool00`000000oooo0?ooo`0i0?ooo`<00000103o ool2000000@0oooo1@0000060?ooo`030000003oool0oooo0=80oooo1`0000040?ooo`030000003o ool0oooo01L0oooo000^0?ooo`<000001`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0 oooo0=00oooo00<000000?ooo`3oool0>03oool01@000000oooo0?ooo`3oool0000000<0oooo0P00 00060?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0a`3oool;000000@0oooo0P00 00050?ooo`030000003oool0oooo01L0oooo000]0?ooo`050000003oool0oooo0?ooo`0000001P3o ool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo0=00oooo00<000000?ooo`3oool0>03o ool01@000000oooo0?ooo`3oool0000000/0oooo00<000000?ooo`3oool01P3oool200000;D0oooo 0P0000050?ooo``00000503oool3000001T0oooo000a0?ooo`030000003oool0oooo00@0oooo0P00 000<0?ooo`030000003oool0oooo003oool01@000000oooo0?ooo`3oool0000000/0oooo00<000000?ooo`3o ool01P3oool00`000000oooo0?ooo`2Q0?ooo`H00000=P3oool00`000000oooo0?ooo`0G0?ooo`00 ;P3oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0 c`3oool00`000000oooo0?ooo`0i0?ooo`<000002`3oool2000000P0oooo0P00002L0?ooo`H00000 >`3oool2000001T0oooo000^0?ooo`@000001P3oool2000000d0oooo00<000000?ooo`3oool0cP3o ool2000005<0oooo00<000000?ooo`3oool0T03oool2000000<0oooo1P0000120?ooo`030000003o ool0oooo01L0oooo000h0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0c`3oool0 0`000000oooo0?ooo`1A0?ooo`030000003oool0oooo08l0oooo1P0000180?ooo`030000003oool0 oooo01L0oooo000h0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0c`3oool00`00 0000oooo0?ooo`1A0?ooo`030000003oool0oooo08`0oooo1`00001:0?ooo`030000003oool0oooo 01L0oooo000h0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0cP3oool00`000000 oooo0?ooo`1A0?ooo`030000003oool0oooo08P0oooo100000050?ooo`030000003oool0oooo04T0 oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool0303oool200000=00oooo 00<000000?ooo`3oool0D@3oool2000008D0oooo1000001D0?ooo`8000006@3oool003P0oooo0P00 000<0?ooo`@00000cP3oool2000005<0oooo00<000000?ooo`3oool0P03oool4000005T0oooo00<0 00000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool0303oool30000003oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo003oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo003o ool2000000l0oooo00<000000?ooo`3oool0c03oool2000005<0oooo00<000000?ooo`3oool0K03o ool4000006d0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`3=0?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool0K03oool3 000006h0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool03P3oool00`00 0000oooo0?ooo`3=0?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool0JP3oool20000 0080oooo00<000000?ooo`3oool0K03oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000 oooo0?ooo`0?0?ooo`030000003oool0oooo0<`0oooo00<000000?ooo`3oool0D@3oool2000006T0 oooo0P00001b0?ooo`8000006@3oool003P0oooo00<000000?ooo`3oool03`3oool00`000000oooo 0?ooo`3<0?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool0IP3oool2000007D0oooo 00<000000?ooo`3oool05`3oool003P0oooo0P00000@0?ooo`030000003oool0oooo0P3oool01@000000oooo0?ooo`3oool0000000`0oooo00<000000?ooo`3o ool01@3oool00`000000oooo0?ooo`1J0?ooo`800000P@3oool00`000000oooo0?ooo`0G0?ooo`00 :03oool00`000000oooo0?ooo`020?ooo`050000003oool0oooo0?ooo`0000001P3oool00`000000 oooo0?ooo`0@0?ooo`030000003oool0oooo003oool01@000000 oooo0?ooo`3oool0000000d0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`1H0?oo o`800000P`3oool00`000000oooo0?ooo`0G0?ooo`00:03oool00`000000oooo0?ooo`020?ooo`05 0000003oool0oooo0?ooo`0000001P3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo 003oool01@000000oooo0?ooo`3oool0000000T0oooo00D00000 0?ooo`3oool0oooo000000060?ooo`800000E`3oool2000008@0oooo0P00000I0?ooo`00:03oool0 0`000000oooo0?ooo`020?ooo`050000003oool0oooo0?ooo`0000001P3oool00`000000oooo0?oo o`0@0?ooo`800000c03oool00`000000oooo0?ooo`0i0?ooo`<000002`3oool3000000L0oooo00<0 00000?ooo`3oool0E03oool2000008L0oooo00<000000?ooo`3oool05`3oool002P0oooo00<00000 0?ooo`3oool00P3oool01@000000oooo0?ooo`3oool0000000H0oooo00<000000?ooo`3oool03`3o ool300000<`0oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`1B0?ooo`800000R@3o ool00`000000oooo0?ooo`0G0?ooo`009`3oool2000000D0oooo0`0000070?ooo`8000004@3oool2 0000003oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo003o ool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo003oool2 000001<0oooo00<000000?ooo`3oool0b03oool2000005<0oooo00<000000?ooo`3oool0B03oool0 0`000000oooo0000002B0?ooo`030000003oool0oooo01L0oooo000h0?ooo`030000003oool0oooo 0180oooo00<000000?ooo`3oool0b@3oool00`000000oooo0?ooo`1A0?ooo`030000003oool0oooo 04L0oooo00<000000?ooo`3oool0T`3oool00`000000oooo0?ooo`0G0?ooo`005P3oool6000001`0 oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`390?ooo`030000003oool0oooo02X0 oooo1000000S0?ooo`800000A`3oool00`000000oooo0?ooo`2C0?ooo`8000006@3oool001D0oooo 00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo01<0oooo 00<000000?ooo`3oool0b03oool00`000000oooo0?ooo`0Y0?ooo`030000003oool0oooo0080oooo 00<000000?ooo`3oool0803oool00`000000oooo0?ooo`150?ooo`030000003oool0oooo09D0oooo 00<000000?ooo`3oool05`3oool001D0oooo00<000000?ooo`3oool0103oool00`000000oooo0?oo o`0I0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0b03oool00`000000oooo0?oo o`0Y0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0803oool00`000000oooo0?oo o`140?ooo`030000003oool0oooo09H0oooo00<000000?ooo`3oool05`3oool001D0oooo00<00000 0?ooo`3oool0103oool00`000000oooo0?ooo`0I0?ooo`800000503oool00`000000oooo0?ooo`37 0?ooo`800000:@3oool00`000000oooo000000030?ooo`030000003oool0oooo0240oooo00<00000 0?ooo`3oool02@3oool2000003P0oooo00<000000?ooo`3oool0U`3oool00`000000oooo0?ooo`0G 0?ooo`005@3oool2000000@0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`0C0?oo o`030000003oool0oooo0P3oool01@000000oooo0?ooo`3oool0000000T0oooo00D000000?ooo`3oool0 oooo000000060?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0:P3oool00`000000 oooo0?ooo`2R0?ooo`030000003oool0oooo01L0oooo000X0?ooo`030000003oool0oooo00H0oooo 00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo0@3oool3000000/0oooo0`0000070?ooo`800000303oool00`000000oooo 0?ooo`0Y0?ooo`030000003oool0oooo0:80oooo0P00000I0?ooo`00:03oool00`000000oooo0?oo o`030?ooo`<000001`3oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo003oool00`000000oooo0?ooo`0G0?ooo`800000 a@3oool00`000000oooo0?ooo`1A0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0 9@3oool00`000000oooo0?ooo`2W0?ooo`030000003oool0oooo01L0oooo000h0?ooo`030000003o ool0oooo01L0oooo0`0000340?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool02`3o ool00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo0:P0oooo00<000000?ooo`3oool05`3o ool003P0oooo00<000000?ooo`3oool05P3oool400000<@0oooo00<000000?ooo`3oool0D@3oool0 0`000000oooo0?ooo`0;0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3oool0Z03oool0 0`000000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`0G0?ooo`<00000a03oool00`00 0000oooo0?ooo`1A0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool08`3oool00`00 0000oooo0?ooo`2Y0?ooo`030000003oool0oooo01L0oooo000h0?ooo`8000006P3oool00`000000 oooo0?ooo`310?ooo`800000D`3oool2000000`0oooo00<000000?ooo`3oool08P3oool00`000000 oooo0?ooo`2Y0?ooo`8000006@3oool003P0oooo00<000000?ooo`3oool06P3oool00`000000oooo 0?ooo`310?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool02`3oool00`000000oooo 0?ooo`0R0?ooo`030000003oool0oooo0:X0oooo00<000000?ooo`3oool05`3oool003P0oooo00<0 00000?ooo`3oool06P3oool00`000000oooo0?ooo`310?ooo`030000003oool0oooo0540oooo00<0 00000?ooo`3oool02`3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0:/0oooo00<0 00000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`30 0?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0Q 0?ooo`030000003oool0oooo0:/0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?oo o`3oool06`3oool00`000000oooo0?ooo`300?ooo`030000003oool0oooo0540oooo00<000000?oo o`3oool0303oool00`000000oooo0?ooo`0O0?ooo`030000003oool0oooo0:`0oooo00<000000?oo o`3oool05`3oool003P0oooo0P00000M0?ooo`030000003oool0oooo0;h0oooo0P00001C0?ooo`80 00003@3oool00`000000oooo0?ooo`0O0?ooo`030000003oool0oooo0:/0oooo0P00000I0?ooo`00 >03oool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo0;l0oooo00<000000?ooo`3oool0 D@3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01h0oooo00<000000?ooo`3oool0 [@3oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`0M0?ooo`030000003o ool0oooo0;h0oooo00<000000?ooo`3oool0>@3oool3000000@0oooo0P0000070?ooo`<000001@3o ool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0[P3o ool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`0M0?ooo`030000003oool0 oooo0;h0oooo00<000000?ooo`3oool0>03oool01@000000oooo0?ooo`3oool0000000<0oooo0P00 00080?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0303oool00`000000oooo0?oo o`0M0?ooo`030000003oool0oooo0:h0oooo00<000000?ooo`3oool05`3oool003P0oooo00<00000 0?ooo`3oool07P3oool00`000000oooo0?ooo`2m0?ooo`030000003oool0oooo03P0oooo00D00000 0?ooo`3oool0oooo000000090?ooo`H000001@3oool2000000d0oooo00<000000?ooo`3oool0703o ool00`000000oooo0?ooo`2]0?ooo`<000006@3oool003P0oooo0P00000O0?ooo`030000003oool0 oooo0;`0oooo0P00000j0?ooo`050000003oool0oooo0?ooo`0000002@3oool01@000000oooo0?oo o`3oool0000000H0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0L0?ooo`030000 003oool0oooo0:l0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool07`3o ool00`000000oooo0?ooo`2l0?ooo`030000003oool0oooo03P0oooo00D000000?ooo`3oool0oooo 0000000:0?ooo`040000003oool0oooo000000H0oooo00<000000?ooo`3oool0303oool00`000000 oooo0?ooo`0K0?ooo`030000003oool0oooo0;00oooo00<000000?ooo`3oool05`3oool003P0oooo 00<000000?ooo`3oool0803oool00`000000oooo0?ooo`2k0?ooo`030000003oool0oooo03P0oooo 00D000000?ooo`3oool0oooo0000000;0?ooo`030000003oool0000000H0oooo00<000000?ooo`3o ool0303oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo0;40oooo00<000000?ooo`3o ool05`3oool002H0oooo1@0000030?ooo`<000001`3oool00`000000oooo0?ooo`0P0?ooo`030000 003oool0oooo0;/0oooo00<000000?ooo`3oool0>03oool01@000000oooo0?ooo`3oool0000000/0 oooo00<000000?ooo`0000001P3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01X0 oooo00<000000?ooo`3oool0/@3oool00`000000oooo0?ooo`0G0?ooo`009P3oool01@000000oooo 0?ooo`3oool000000080oooo00D000000?ooo`3oool0oooo000000060?ooo`030000003oool0oooo 0240oooo00<000000?ooo`3oool0^P3oool00`000000oooo0?ooo`0i0?ooo`<000003@3oool20000 00H0oooo0P00000=0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3oool0/@3oool20000 01T0oooo000W0?ooo`030000003oool0oooo00<0oooo00D000000?ooo`3oool0oooo000000060?oo o`8000008P3oool00`000000oooo0?ooo`2h0?ooo`<00000D`3oool00`000000oooo0?ooo`0<0?oo o`030000003oool0oooo01T0oooo00<000000?ooo`3oool0/P3oool00`000000oooo0?ooo`0G0?oo o`00:03oool00`000000oooo0?ooo`020?ooo`050000003oool0oooo0?ooo`0000001P3oool00`00 0000oooo0?ooo`0R0?ooo`030000003oool0oooo0;T0oooo00<000000?ooo`3oool0D@3oool00`00 0000oooo0?ooo`0<0?ooo`030000003oool0oooo01L0oooo0P00002e0?ooo`030000003oool0oooo 01L0oooo000Y0?ooo`050000003oool0oooo0?ooo`0000000`3oool00`000000oooo0?ooo`040?oo o`030000003oool0oooo0280oooo00<000000?ooo`3oool0^@3oool00`000000oooo0?ooo`1A0?oo o`030000003oool0oooo00`0oooo00<000000?ooo`3oool05P3oool300000;D0oooo00<000000?oo o`3oool05`3oool002X0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`040?oo o`030000003oool0oooo02<0oooo00<000000?ooo`3oool0^03oool00`000000oooo0?ooo`1A0?oo o`030000003oool0oooo00d0oooo00<000000?ooo`3oool0503oool400000;D0oooo00<000000?oo o`3oool05`3oool002H0oooo00D000000?ooo`3oool0oooo000000020?ooo`050000003oool0oooo 0?ooo`0000001P3oool00`000000oooo0?ooo`0S0?ooo`030000003oool0oooo0;P0oooo00<00000 0?ooo`3oool0D@3oool2000000h0oooo00<000000?ooo`3oool05@3oool200000;D0oooo0P00000I 0?ooo`009`3oool3000000@0oooo0`0000070?ooo`8000009@3oool00`000000oooo0?ooo`2f0?oo o`800000D`3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01D0oooo00<000000?oo o`3oool0]@3oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`0T0?ooo`03 0000003oool0oooo0;L0oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`0=0?ooo`03 0000003oool0oooo01@0oooo00<000000?ooo`3oool0]P3oool00`000000oooo0?ooo`0G0?ooo`00 >03oool00`000000oooo0?ooo`0U0?ooo`030000003oool0oooo0;H0oooo00<000000?ooo`3oool0 D@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0 ]P3oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`0U0?ooo`800000]`3o ool00`000000oooo0?ooo`1A0?ooo`8000003P3oool00`000000oooo0?ooo`0C0?ooo`030000003o ool0oooo0;H0oooo0P00000I0?ooo`00>03oool00`000000oooo0?ooo`0T0?ooo`@00000]P3oool0 0`000000oooo0?ooo`1A0?ooo`030000003oool0oooo00`0oooo0`00000D0?ooo`030000003oool0 oooo0;L0oooo00<000000?ooo`3oool05`3oool003P0oooo0P00000V0?ooo`@00000]03oool20000 05<0oooo00<000000?ooo`3oool02`3oool4000001<0oooo00<000000?ooo`3oool0^03oool00`00 0000oooo0?ooo`0G0?ooo`00>03oool00`000000oooo0?ooo`0V0?ooo`030000003oool0oooo0080 0000/`3oool00`000000oooo0?ooo`1A0?ooo`030000003oool0oooo00`0oooo0P00000D0?ooo`03 0000003oool0oooo0;P0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool0 :`3oool200000;40oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`0=0?ooo`030000 003oool0oooo0140oooo00<000000?ooo`3oool0^@3oool00`000000oooo0?ooo`0G0?ooo`00>03o ool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo0:h0oooo00<000000?ooo`3oool0D@3o ool2000000l0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`2h0?ooo`8000006@3o ool003P0oooo00<000000?ooo`3oool0;P3oool200000:h0oooo00<000000?ooo`3oool0D@3oool0 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool0^P3oool0 0`000000oooo0?ooo`0G0?ooo`00>03oool200000340oooo0P0000020?ooo`030000003oool0oooo 0:H0oooo0P00001C0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03`3oool00`00 0000oooo0?ooo`2j0?ooo`030000003oool0oooo01L0oooo000h0?ooo`030000003oool0oooo0380 oooo1000002X0?ooo`030000003oool0oooo03T0oooo0`0000040?ooo`8000001@3oool3000000L0 oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo0;/0 oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool0<`3oool400000:L0oooo 00<000000?ooo`3oool0>03oool01@000000oooo0?ooo`3oool0000000<0oooo0P0000040?ooo`05 0000003oool0oooo0?ooo`0000001P3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo 00`0oooo00<000000?ooo`3oool0_03oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000 oooo0?ooo`0d0?ooo`030000003oool0oooo00@00000X`3oool00`000000oooo0?ooo`0h0?ooo`05 0000003oool0oooo0?ooo`0000003@3oool00`000000oooo0?ooo`040?ooo`800000403oool00`00 0000oooo0?ooo`0<0?ooo`030000003oool0oooo0;X0oooo0`00000I0?ooo`00>03oool00`000000 oooo0?ooo`0k0?ooo`@00000W`3oool00`000000oooo0?ooo`0h0?ooo`050000003oool0oooo0?oo o`0000003@3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00l0oooo00<000000?oo o`3oool02`3oool00`000000oooo0?ooo`2m0?ooo`030000003oool0oooo01L0oooo000h0?ooo`80 0000@03oool5000009T0oooo0P00000j0?ooo`050000003oool0oooo0?ooo`0000002P3oool30000 00L0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo 0;d0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool0A03oool400000003 0?ooo`000000000009<0oooo00<000000?ooo`3oool0>03oool01@000000oooo0?ooo`3oool00000 00X0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo 00T0oooo00<000000?ooo`3oool0_P3oool00`000000oooo0?ooo`0G0?ooo`00>03oool00`000000 oooo0?ooo`180?ooo`L00000S`3oool00`000000oooo0?ooo`0h0?ooo`050000003oool0oooo0?oo o`0000002P3oool00`000000oooo0?ooo`070?ooo`8000004@3oool00`000000oooo0?ooo`090?oo o`030000003oool0oooo0;d0oooo0P00000I0?ooo`009P3oool5000000<0oooo0`0000070?ooo`03 0000003oool0oooo04T0oooo0`0000030?ooo`T00000QP3oool00`000000oooo0?ooo`0i0?ooo`<0 00002`3oool4000000H0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`080?ooo`03 0000003oool0oooo0;l0oooo00<000000?ooo`3oool05`3oool002H0oooo00D000000?ooo`3oool0 oooo000000020?ooo`050000003oool0oooo0?ooo`0000001P3oool00`000000oooo0?ooo`1:0?oo o`030000003oool0oooo00/0oooo2@00001m0?ooo`030000003oool0oooo0540oooo00<000000?oo o`3oool0403oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo0;l0oooo00<000000?oo o`3oool05`3oool002L0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`040?ooo`80 0000HP3oool9000000<0oooo0P00001]0?ooo`<00000D`3oool00`000000oooo0?ooo`0A0?ooo`03 0000003oool0oooo00H0oooo00<000000?ooo`3oool0`03oool00`000000oooo0?ooo`0G0?ooo`00 :03oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0 JP3oool:000006X0oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`0@0?ooo`<00000 1`3oool00`000000oooo0?ooo`300?ooo`030000003oool0oooo01L0oooo000Y0?ooo`030000003o ool0oooo0080oooo0`0000070?ooo`030000003oool0oooo06d0oooo0`0000040?ooo``000004P3o ool00`000000oooo0?ooo`190?ooo`030000003oool0oooo0540oooo0P00000@0?ooo`@000001P3o ool00`000000oooo0?ooo`300?ooo`8000006@3oool002X0oooo00D000000?ooo`3oool0oooo0000 00090?ooo`030000003oool0oooo06h0oooo00<000000?ooo`3oool03`3oool<000000D0oooo0`00 001:0?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool0403oool2000000D0oooo0`00 00330?ooo`030000003oool0oooo01L0oooo000V0?ooo`050000003oool0oooo0?ooo`0000000`3o ool00`000000oooo0?ooo`070?ooo`030000003oool0oooo08`0oooo3`00000K0?ooo`030000003o ool0oooo02D0oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`0B0?ooo`040000003o ool0oooo0?ooo`@00000``3oool00`000000oooo0?ooo`0G0?ooo`009`3oool3000000@0oooo1000 00060?ooo`800000TP3oool2000000P0oooo4P0000080?ooo`<000009@3oool2000005<0oooo00<0 00000?ooo`3oool04P3oool00`000000oooo0?ooo`020?ooo`<00000``3oool00`000000oooo0?oo o`0G0?ooo`00>03oool00`000000oooo0?ooo`2]0?oooa8000006@3oool00`000000oooo0?ooo`03 0?ooo`030000003oool0oooo0540oooo00<000000?ooo`3oool04`3oool2000000040?ooo`000000 oooo00000<@0oooo00<000000?ooo`3oool05`3oool003P0oooo00<000000?ooo`3oool0]@3oool2 000000P0oooo4@0000070?ooo`<00000103oool00`000000oooo0?ooo`1A0?ooo`800000503oool3 0000003oool00`000000oooo0?ooo`3@0?ooo`X00000103oool00`00 0000oooo0?ooo`1A0?ooo`030000003oool0oooo0180oooo100000370?ooo`030000003oool0oooo 01L0oooo000h0?ooo`030000003oool0oooo0=L0oooo0P0000050?ooo`030000003oool0oooo0540 oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`0>0?ooo`8000004@3oool00`000000 oooo0?ooo`0Q0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool0803oool00`000000 oooo0?ooo`0Q0?ooo`030000003oool0oooo0240oooo00D000000?ooo`3oool0oooo0000000I0?oo o`00>03oool2000000<0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`050?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`050?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`040?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`03 0000003oool0oooo00D0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`03 0000003oool0oooo00D0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`050?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool00P00001C0?ooo`030000003oool0oooo0080 oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00D0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00@0 oooo00D000000?ooo`3oool0oooo0000000I0?ooo`00>03ooooR000005<0ooooh@00000I0?ooo`00 o`3ooooo0?ooofT0oooo003o0?ooool0ooooJ@3oool00?l0ooooo`3ooomY0?ooo`00o`3ooooo0?oo ofT0oooo0000\ \>"], ImageRangeCache->{{{0, 614}, {179.938, 0}} -> {-0.0544612, -0.0147182, \ 0.00343473, 0.00343473}, {{15.8125, 293.125}, {175.625, 4.25}} -> {-85.8792, \ -8.05224, 1.39185, 0.201023}, {{320.813, 598.125}, {175.625, 4.25}} -> \ {-519.073, -0.173197, 1.39953, 0.00428582}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] GraphicsArray \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell["\<\ To use the simple formula for trapezoid integration with evenly spaced \ points, we need to use interpolation methods. First we split up the space \ between the first and last points into n segments where we can adjust n.\ \>", "Text"], Cell[BoxData[ \(n := 10\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\[CapitalDelta]x = N[\((Last[T] - T[\([1]\)])\)/\((n)\)]\)], "Input"], Cell[BoxData[ \(28.8`\)], "Output"] }, Open ]], Cell[BoxData[ \(j := Range[0, n]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(x = T[\([1]\)] + j\ \[CapitalDelta]x\)], "Input"], Cell[BoxData[ \({10, 38.8`, 67.6`, 96.4`, 125.2`, 154.`, 182.8`, 211.6`, 240.4`, 269.2`, 298.`}\)], "Output"] }, Open ]], Cell["\<\ We can now find the value of the function at each x[[j]]. On the graph below \ the black + signs are the experimental data, the red bars indicate the value \ of the function at evenly spaced points fx[j].\ \>", "Text"], Cell[BoxData[ \(fx := Interpolation[ Table[{T[\([i]\)], dS[\([i]\)]}, {i, 1, ndata}]]\)], "Input"], Cell["The evenly spaced points are put into the area formula", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(area = Sum[\[CapitalDelta]x\ fx[x[\([j]\)]], {j, 2, n}] + \((fx[x[\([1]\)]] + fx[x[\([n + 1]\)]])\)/ 2\ \[CapitalDelta]x\)], "Input"], Cell[BoxData[ \(60.123149822455595`\)], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Graph Setup", "Subsubtitle"], Cell[CellGroupData[{ Cell[BoxData[ \(plot1 = MultipleListPlot[ Table[{x[\([i]\)], fx[x[\([i]\)]]}, {i, 1, Length[x]}], SymbolShape \[Rule] Stem, Frame \[Rule] True, FrameLabel \[Rule] {"\", "\<\[FilledCircle] fx, * dS\>"}, DisplayFunction \[Rule] Identity]; plot2 = MultipleListPlot[Table[{T[\([i]\)], dS[\([i]\)]}, {i, 1, ndata}], DisplayFunction \[Rule] Identity]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Graph", "Subsubtitle"], Cell[CellGroupData[{ Cell[BoxData[ \(Show[plot1, plot2, DisplayFunction \[Rule] $DisplayFunction]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00319591 0.0147151 1.04362 [ [.02381 -0.0125 -5.625 -14.8125 ] [.02381 -0.0125 5.625 0 ] [.1836 -0.0125 -9.25 -14.8125 ] [.1836 -0.0125 9.25 0 ] [.3434 -0.0125 -12.875 -14.8125 ] [.3434 -0.0125 12.875 0 ] [.5032 -0.0125 -12.875 -14.8125 ] [.5032 -0.0125 12.875 0 ] [.66299 -0.0125 -12.875 -14.8125 ] [.66299 -0.0125 12.875 0 ] [.82279 -0.0125 -12.875 -14.8125 ] [.82279 -0.0125 12.875 0 ] [.98258 -0.0125 -12.875 -14.8125 ] [.98258 -0.0125 12.875 0 ] [ 0 0 -0.125 0 ] [.5 -0.0125 -12.875 -29.625 ] [.5 -0.0125 12.875 -14.8125 ] [-0.0125 .01472 -11.25 -7.40625 ] [-0.0125 .01472 0 7.40625 ] [-0.0125 .11908 -25.75 -7.40625 ] [-0.0125 .11908 0 7.40625 ] [-0.0125 .22344 -25.75 -7.40625 ] [-0.0125 .22344 0 7.40625 ] [-0.0125 .3278 -25.75 -7.40625 ] [-0.0125 .3278 0 7.40625 ] [-0.0125 .43216 -25.75 -7.40625 ] [-0.0125 .43216 0 7.40625 ] [-0.0125 .53653 -25.75 -7.40625 ] [-0.0125 .53653 0 7.40625 ] [ 0 0 -0.125 0 ] [-0.01875 .30902 -40.5625 -41.875 ] [-0.01875 .30902 -25.75 41.875 ] [ 0 .61803 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02381 0 m .02381 .00625 L s gsave .02381 -0.0125 -66.625 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0) show 1.000 setlinewidth grestore .1836 0 m .1836 .00625 L s gsave .1836 -0.0125 -70.25 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (50) show 1.000 setlinewidth grestore .3434 0 m .3434 .00625 L s gsave .3434 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (100) show 1.000 setlinewidth grestore .5032 0 m .5032 .00625 L s gsave .5032 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (150) show 1.000 setlinewidth grestore .66299 0 m .66299 .00625 L s gsave .66299 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (200) show 1.000 setlinewidth grestore .82279 0 m .82279 .00625 L s gsave .82279 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (250) show 1.000 setlinewidth grestore .98258 0 m .98258 .00625 L s gsave .98258 -0.0125 -73.875 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (300) show 1.000 setlinewidth grestore .125 Mabswid .05577 0 m .05577 .00375 L s .08773 0 m .08773 .00375 L s .11969 0 m .11969 .00375 L s .15165 0 m .15165 .00375 L s .21556 0 m .21556 .00375 L s .24752 0 m .24752 .00375 L s .27948 0 m .27948 .00375 L s .31144 0 m .31144 .00375 L s .37536 0 m .37536 .00375 L s .40732 0 m .40732 .00375 L s .43928 0 m .43928 .00375 L s .47124 0 m .47124 .00375 L s .53516 0 m .53516 .00375 L s .56711 0 m .56711 .00375 L s .59907 0 m .59907 .00375 L s .63103 0 m .63103 .00375 L s .69495 0 m .69495 .00375 L s .72691 0 m .72691 .00375 L s .75887 0 m .75887 .00375 L s .79083 0 m .79083 .00375 L s .85475 0 m .85475 .00375 L s .88671 0 m .88671 .00375 L s .91866 0 m .91866 .00375 L s .95062 0 m .95062 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave .5 -0.0125 -73.875 -33.625 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (x) show 70.250 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (,) show 77.500 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (T) show 84.750 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 .01472 m .00625 .01472 L s gsave -0.0125 .01472 -72.25 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0) show 1.000 setlinewidth grestore 0 .11908 m .00625 .11908 L s gsave -0.0125 .11908 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.1) show 1.000 setlinewidth grestore 0 .22344 m .00625 .22344 L s gsave -0.0125 .22344 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore 0 .3278 m .00625 .3278 L s gsave -0.0125 .3278 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.3) show 1.000 setlinewidth grestore 0 .43216 m .00625 .43216 L s gsave -0.0125 .43216 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore 0 .53653 m .00625 .53653 L s gsave -0.0125 .53653 -86.75 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .125 Mabswid 0 .03559 m .00375 .03559 L s 0 .05646 m .00375 .05646 L s 0 .07733 m .00375 .07733 L s 0 .0982 m .00375 .0982 L s 0 .13995 m .00375 .13995 L s 0 .16082 m .00375 .16082 L s 0 .18169 m .00375 .18169 L s 0 .20257 m .00375 .20257 L s 0 .24431 m .00375 .24431 L s 0 .26518 m .00375 .26518 L s 0 .28606 m .00375 .28606 L s 0 .30693 m .00375 .30693 L s 0 .34867 m .00375 .34867 L s 0 .36955 m .00375 .36955 L s 0 .39042 m .00375 .39042 L s 0 .41129 m .00375 .41129 L s 0 .45304 m .00375 .45304 L s 0 .47391 m .00375 .47391 L s 0 .49478 m .00375 .49478 L s 0 .51565 m .00375 .51565 L s 0 .5574 m .00375 .5574 L s 0 .57827 m .00375 .57827 L s 0 .59914 m .00375 .59914 L s .25 Mabswid 0 0 m 0 .61803 L s gsave -0.01875 .30902 -136.031 -11.4063 Mabsadd m 1 1 Mabs scale currentpoint translate 102.875 11.4063 translate 90 rotate -102.875 -11.4063 translate 0 22.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier %%BeginResource: font Courier-MISO %%BeginFont: Courier-MISO /Courier /Courier-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Mathematica3Mono %%IncludeFont: Mathematica3Mono /Mathematica3Mono findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (\\346) show 77.500 14.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (fx) show 92.000 14.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (,) show 113.750 14.438 moveto %%IncludeResource: font Mathematica1Mono %%IncludeFont: Mathematica1Mono /Mathematica1Mono findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (*) show 128.250 14.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (dS) show 142.750 14.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .02381 .61178 m .02381 .61803 L s .1836 .61178 m .1836 .61803 L s .3434 .61178 m .3434 .61803 L s .5032 .61178 m .5032 .61803 L s .66299 .61178 m .66299 .61803 L s .82279 .61178 m .82279 .61803 L s .98258 .61178 m .98258 .61803 L s .125 Mabswid .05577 .61428 m .05577 .61803 L s .08773 .61428 m .08773 .61803 L s .11969 .61428 m .11969 .61803 L s .15165 .61428 m .15165 .61803 L s .21556 .61428 m .21556 .61803 L s .24752 .61428 m .24752 .61803 L s .27948 .61428 m .27948 .61803 L s .31144 .61428 m .31144 .61803 L s .37536 .61428 m .37536 .61803 L s .40732 .61428 m .40732 .61803 L s .43928 .61428 m .43928 .61803 L s .47124 .61428 m .47124 .61803 L s .53516 .61428 m .53516 .61803 L s .56711 .61428 m .56711 .61803 L s .59907 .61428 m .59907 .61803 L s .63103 .61428 m .63103 .61803 L s .69495 .61428 m .69495 .61803 L s .72691 .61428 m .72691 .61803 L s .75887 .61428 m .75887 .61803 L s .79083 .61428 m .79083 .61803 L s .85475 .61428 m .85475 .61803 L s .88671 .61428 m .88671 .61803 L s .91866 .61428 m .91866 .61803 L s .95062 .61428 m .95062 .61803 L s .25 Mabswid 0 .61803 m 1 .61803 L s .99375 .01472 m 1 .01472 L s .99375 .11908 m 1 .11908 L s .99375 .22344 m 1 .22344 L s .99375 .3278 m 1 .3278 L s .99375 .43216 m 1 .43216 L s .99375 .53653 m 1 .53653 L s .125 Mabswid .99625 .03559 m 1 .03559 L s .99625 .05646 m 1 .05646 L s .99625 .07733 m 1 .07733 L s .99625 .0982 m 1 .0982 L s .99625 .13995 m 1 .13995 L s .99625 .16082 m 1 .16082 L s .99625 .18169 m 1 .18169 L s .99625 .20257 m 1 .20257 L s .99625 .24431 m 1 .24431 L s .99625 .26518 m 1 .26518 L s .99625 .28606 m 1 .28606 L s .99625 .30693 m 1 .30693 L s .99625 .34867 m 1 .34867 L s .99625 .36955 m 1 .36955 L s .99625 .39042 m 1 .39042 L s .99625 .41129 m 1 .41129 L s .99625 .45304 m 1 .45304 L s .99625 .47391 m 1 .47391 L s .99625 .49478 m 1 .49478 L s .99625 .51565 m 1 .51565 L s .99625 .5574 m 1 .5574 L s .99625 .57827 m 1 .57827 L s .99625 .59914 m 1 .59914 L s .25 Mabswid 1 0 m 1 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .02 w .05577 .30693 Mdot .0001 w .05577 .30693 m .05577 .01472 L s .02 w .14781 .51782 Mdot .0001 w .14781 .51782 m .14781 .01472 L s .02 w .23985 .36964 Mdot .0001 w .23985 .36964 m .23985 .01472 L s .02 w .3319 .27495 Mdot .0001 w .3319 .27495 m .3319 .01472 L s .02 w .42394 .22165 Mdot .0001 w .42394 .22165 m .42394 .01472 L s .02 w .51598 .18631 Mdot .0001 w .51598 .18631 m .51598 .01472 L s .02 w .60802 .16064 Mdot .0001 w .60802 .16064 m .60802 .01472 L s .02 w .70006 .14233 Mdot .0001 w .70006 .14233 m .70006 .01472 L s .02 w .79211 .12804 Mdot .0001 w .79211 .12804 m .79211 .01472 L s .02 w .88415 .11705 Mdot .0001 w .88415 .11705 m .88415 .01472 L s .02 w .97619 .10787 Mdot .0001 w .97619 .10787 m .97619 .01472 L s .05577 .30693 -1.875 0 Mabsadd m .05577 .30693 0 2.5 Mabsadd L .05577 .30693 1.875 0 Mabsadd L .05577 .30693 0 -2.5 Mabsadd L .05577 .30693 -1.875 0 Mabsadd L closepath F .07175 .50174 -1.875 0 Mabsadd m .07175 .50174 0 2.5 Mabsadd L .07175 .50174 1.875 0 Mabsadd L .07175 .50174 0 -2.5 Mabsadd L .07175 .50174 -1.875 0 Mabsadd L closepath F .08773 .57827 -1.875 0 Mabsadd m .08773 .57827 0 2.5 Mabsadd L .08773 .57827 1.875 0 Mabsadd L .08773 .57827 0 -2.5 Mabsadd L .08773 .57827 -1.875 0 Mabsadd L closepath F .10371 .60332 -1.875 0 Mabsadd m .10371 .60332 0 2.5 Mabsadd L .10371 .60332 1.875 0 Mabsadd L .10371 .60332 0 -2.5 Mabsadd L .10371 .60332 -1.875 0 Mabsadd L closepath F .11969 .58871 -1.875 0 Mabsadd m .11969 .58871 0 2.5 Mabsadd L .11969 .58871 1.875 0 Mabsadd L .11969 .58871 0 -2.5 Mabsadd L .11969 .58871 -1.875 0 Mabsadd L closepath F .1836 .46974 -1.875 0 Mabsadd m .1836 .46974 0 2.5 Mabsadd L .1836 .46974 1.875 0 Mabsadd L .1836 .46974 0 -2.5 Mabsadd L .1836 .46974 -1.875 0 Mabsadd L closepath F .24752 .36209 -1.875 0 Mabsadd m .24752 .36209 0 2.5 Mabsadd L .24752 .36209 1.875 0 Mabsadd L .24752 .36209 0 -2.5 Mabsadd L .24752 .36209 -1.875 0 Mabsadd L closepath F .3434 .2704 -1.875 0 Mabsadd m .3434 .2704 0 2.5 Mabsadd L .3434 .2704 1.875 0 Mabsadd L .3434 .2704 0 -2.5 Mabsadd L .3434 .2704 -1.875 0 Mabsadd L closepath F .5032 .19074 -1.875 0 Mabsadd m .5032 .19074 0 2.5 Mabsadd L .5032 .19074 1.875 0 Mabsadd L .5032 .19074 0 -2.5 Mabsadd L .5032 .19074 -1.875 0 Mabsadd L closepath F .66299 .14934 -1.875 0 Mabsadd m .66299 .14934 0 2.5 Mabsadd L .66299 .14934 1.875 0 Mabsadd L .66299 .14934 0 -2.5 Mabsadd L .66299 .14934 -1.875 0 Mabsadd L closepath F .82279 .12409 -1.875 0 Mabsadd m .82279 .12409 0 2.5 Mabsadd L .82279 .12409 1.875 0 Mabsadd L .82279 .12409 0 -2.5 Mabsadd L .82279 .12409 -1.875 0 Mabsadd L closepath F .97619 .10787 -1.875 0 Mabsadd m .97619 .10787 0 2.5 Mabsadd L .97619 .10787 1.875 0 Mabsadd L .97619 .10787 0 -2.5 Mabsadd L .97619 .10787 -1.875 0 Mabsadd L closepath F % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgL0oooo00<000000?ooo`3oool01`3oool001<0oooo00D000000?ooo`3oool0oooo 0000000=0?ooo`030000003oool0oooo00@0oooo0`00003U0?ooo`<000002@3oool001<0oooo00D0 00000?ooo`3oool0oooo0000000=0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0 i`3oool00`000000oooo0?ooo`070?ooo`004`3oool01@000000oooo0?ooo`3oool0000000X0oooo 0`0000070?ooo`030000003oool0oooo0>L0oooo00<000000?ooo`3oool01`3oool001<0oooo00D0 00000?ooo`3oool0oooo0000000:0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0 i`3oool00`000000oooo0?ooo`070?ooo`004`3oool01@000000oooo0?ooo`3oool0000000X0oooo 00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`3W0?ooo`030000003oool0oooo00L0oooo 000D0?ooo`<000002`3oool4000000H0oooo0P00003W0?ooo`8000002@3oool002`0oooo00<00000 0?ooo`3oool0i`3oool00`000000oooo0?ooo`070?ooo`00;03oool00`000000oooo0?ooo`3W0?oo o`030000003oool0oooo00L0oooo000/0?ooo`030000003oool0oooo0>L0oooo00<000000?ooo`3o ool01`3oool002`0oooo00<000000?ooo`3oool04@3oool200000=@0oooo00<000000?ooo`3oool0 1`3oool002`0oooo0P00000A0?ooo`@00000dP3oool2000000T0oooo000/0?ooo`030000003oool0 oooo0140oooo0`0000050?ooo`030000003oool0oooo0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-67.7322, -0.148275, \ 1.34148, 0.00410805}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell["\<\ Now we need to consider the contribution to the entropy for the region from 0\ \[Degree] K up to the lowest temperature at which the heat capacity was \ measured T[[0]]. In this region the heat capacity follows the function \ \>", "Text"], Cell[BoxData[ \(Cp := a\ T\^3\)], "Text"], Cell[BoxData[ \(Cp\/T := a\ T\^2\)], "Text"], Cell[BoxData[ \(\[Integral]\_0\%\(T\[LeftDoubleBracket]1\[RightDoubleBracket]\)\(Cp\/T\)\ \[DifferentialD]dT := 1\/3\ Cp\ T\[LeftDoubleBracket]1\[RightDoubleBracket]\)], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(Cp[\([1]\)]\)], "Input"], Cell[BoxData[ \(2.8`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\[CapitalDelta]S = Cp\[LeftDoubleBracket]1\[RightDoubleBracket]\/3\)], "Input"], Cell[BoxData[ \(0.9333333333333332`\)], "Output"] }, Open ]], Cell["\<\ Therefore the total entropy for 0o K to 298\[Degree] K is Area + \ \[CapitalDelta]S\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(area + \[CapitalDelta]S\)], "Input"], Cell[BoxData[ \(61.056483155788925`\)], "Output"] }, Open ]], Cell["\<\ The value reported in the literature is 64.81 J/Kmol. Increase the value of n \ above incrementally and see how the entropy determined by the area under the \ curve changes. The difference between the calculated and literature values is \ due to the method used to get the area under the curve. \ \>", "Text"], Cell[BoxData[ \(ClearAll[A, T, Cp, dS, ta, tb, plot1, plot2, n, \[CapitalDelta]x, x, fx, area, \[CapitalDelta]S]\)], "Input"] }, Open ]] }, Open ]] }, FrontEndVersion->"5.0 for Microsoft Windows", ScreenRectangle->{{0, 991}, {0, 662}}, WindowSize->{812, 628}, WindowMargins->{{Automatic, 3}, {Automatic, 0}} ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1776, 53, 61, 1, 95, "Title"], Cell[1840, 56, 38, 0, 33, "Text"], Cell[1881, 58, 158, 9, 147, "Text"], Cell[2042, 69, 91, 2, 33, "Text"], Cell[2136, 73, 230, 4, 52, "Text"], Cell[2369, 79, 214, 5, 52, "Text"], Cell[2586, 86, 226, 4, 52, "Text"], Cell[2815, 92, 75, 1, 30, "Input"], Cell[2893, 95, 100, 2, 28, "SmallText"], Cell[2996, 99, 51, 1, 30, "Input"], Cell[3050, 102, 57, 1, 30, "Input"], Cell[3110, 105, 53, 1, 30, "Input"], Cell[3166, 108, 54, 1, 30, "Input"], Cell[3223, 111, 43, 1, 30, "Input"], Cell[3269, 114, 108, 3, 33, "Text"], Cell[3380, 119, 56, 0, 33, "Text"], Cell[CellGroupData[{ Cell[3461, 123, 34, 1, 30, "Input"], Cell[3498, 126, 87, 1, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3622, 132, 35, 1, 30, "Input"], Cell[3660, 135, 122, 2, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3819, 142, 35, 1, 30, "Input"], Cell[3857, 145, 211, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4105, 153, 34, 0, 30, "Subsubtitle"], Cell[4142, 155, 62, 1, 70, "Input"], Cell[CellGroupData[{ Cell[4229, 160, 76, 1, 70, "Input"], Cell[4308, 163, 69, 1, 70, "Output"] }, Open ]], Cell[4392, 167, 86, 1, 70, "Input"], Cell[4481, 170, 86, 1, 70, "Input"], Cell[CellGroupData[{ Cell[4592, 175, 205, 4, 70, "Input"], Cell[4800, 181, 130, 3, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4967, 189, 205, 4, 70, "Input"], Cell[5175, 195, 130, 3, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[5354, 204, 28, 0, 32, "Subsubtitle"], Cell[CellGroupData[{ Cell[5407, 208, 117, 2, 30, "Input"], Cell[5527, 212, 85681, 2658, 189, 44750, 2148, "GraphicsData", "PostScript", \ "Graphics"], Cell[91211, 2872, 135, 3, 29, "Output"] }, Open ]], Cell[91361, 2878, 246, 4, 52, "Text"], Cell[91610, 2884, 40, 1, 30, "Input"], Cell[CellGroupData[{ Cell[91675, 2889, 89, 1, 30, "Input"], Cell[91767, 2892, 39, 1, 29, "Output"] }, Open ]], Cell[91821, 2896, 49, 1, 30, "Input"], Cell[CellGroupData[{ Cell[91895, 2901, 69, 1, 30, "Input"], Cell[91967, 2904, 120, 2, 29, "Output"] }, Open ]], Cell[92102, 2909, 229, 4, 52, "Text"], Cell[92334, 2915, 117, 3, 30, "Input"], Cell[92454, 2920, 70, 0, 33, "Text"], Cell[CellGroupData[{ Cell[92549, 2924, 185, 4, 30, "Input"], Cell[92737, 2930, 53, 1, 29, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[92839, 2937, 34, 0, 30, "Subsubtitle"], Cell[CellGroupData[{ Cell[92898, 2941, 424, 8, 70, "Input"], Cell[93325, 2951, 130, 3, 70, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[93504, 2960, 28, 0, 32, "Subsubtitle"], Cell[CellGroupData[{ Cell[93557, 2964, 93, 1, 30, "Input"], Cell[93653, 2967, 58459, 1608, 186, 24509, 1184, "GraphicsData", \ "PostScript", "Graphics"], Cell[152115, 4577, 130, 3, 29, "Output"] }, Open ]], Cell[152260, 4583, 249, 4, 52, "Text"], Cell[152512, 4589, 45, 1, 31, "Text"], Cell[152560, 4592, 48, 1, 44, "Text"], Cell[152611, 4595, 189, 3, 44, "Text"], Cell[CellGroupData[{ Cell[152825, 4602, 44, 1, 30, "Input"], Cell[152872, 4605, 38, 1, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[152947, 4611, 106, 2, 42, "Input"], Cell[153056, 4615, 53, 1, 29, "Output"] }, Open ]], Cell[153124, 4619, 107, 3, 33, "Text"], Cell[CellGroupData[{ Cell[153256, 4626, 56, 1, 30, "Input"], Cell[153315, 4629, 53, 1, 29, "Output"] }, Open ]], Cell[153383, 4633, 320, 5, 52, "Text"], Cell[153706, 4640, 136, 2, 30, "Input"] }, Open ]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)