(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 523159, 22115]*) (*NotebookOutlinePosition[ 523858, 22140]*) (* CellTagsIndexPosition[ 523814, 22136]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["LINEAR TRANSFORMATIONS FOR BEGINNERS", "Title", TextAlignment->Left, TextJustification->0, FontFamily->"Arial", FontSize->24], Cell["\<\ Graphical representations are used to illustrate basic concepts in \ linear algebra\ \>", "Subsubtitle"], Cell["\<\ by Roberto E. Caligaris, Georgina B. Rodr\[IAcute]guez and Marta G. \ Caligaris\ \>", "Text", TextAlignment->Left, TextJustification->1, FontFamily->"Arial"], Cell[TextData[{ "We present here an introduction to linear transformations that corresponds \ to the treatment in an introductory course for engineering students. \nWe \ begin by defining linear transformations analytically and studying their \ properties. Then we take advantage of the ", StyleBox["Mathematica", FontSlant->"Italic"], "\.b4s graphical capabilities, to visualize linear transformations on the \ plane. Our interest is to make the students \"see\" the kernel and the image \ of linear transformations\[LongDash]for this purpose we use the vector space \ ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], ". To conclude, we analyze a linear transformation on ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^3\)]], " ." }], "Text", TextAlignment->Left, TextJustification->1], Cell[CellGroupData[{ Cell["Recognizing linear transformations", "Section"], Cell[TextData[{ "Let\.b4s consider the following transformations on the vector space ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], " :" }], "Text"], Cell["\<\ T1[{x_, y_}] := {x + y, x + y + 1}; T2[{x_, y_}] := {x/2 + y, x + \ 2*y}; T3[{x_, y_}] := {3*x, 3*y}; T4[{x_, y_}] := {-y, x}; T5[{x_, y_}] := {x, 0}; T6[{x_, y_}] := {x^2, y^2}; \ \>", "Input", InitializationCell->True], Cell[TextData[{ "Define arbitrary elements ", Cell[BoxData[ \(TraditionalForm\`v\_1\)]], " and ", Cell[BoxData[ \(TraditionalForm\`v\_2\)]], " in ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], "as lists to match the definition of the transformations:" }], "Text"], Cell["\<\ Subscript[v, 1] = {Subscript[x, 1], Subscript[y, 1]}; Subscript[v, 2] = {Subscript[x, 2], Subscript[y, 2]}; \ \>", "Input", InitializationCell->True], Cell[TextData[{ "We ask our students to check the following properties:\n\n\t1) ", StyleBox["T", FontSlant->"Italic"], "(", Cell[BoxData[ \(TraditionalForm\`v\_1\)]], " + ", Cell[BoxData[ \(TraditionalForm\`v\_2\)]], ") = ", StyleBox["T", FontSlant->"Italic"], "(", Cell[BoxData[ \(TraditionalForm\`v\_1\)]], ") + ", StyleBox["T", FontSlant->"Italic"], "(", Cell[BoxData[ \(TraditionalForm\`v\_2\)]], ") \[ForAll] ", Cell[BoxData[ \(TraditionalForm\`v\_1\)]], ", ", Cell[BoxData[ \(TraditionalForm\`v\_2\)]], " \[Element] ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], "\n\t2) ", StyleBox["T", FontSlant->"Italic"], "(", StyleBox["k v", FontSlant->"Italic"], ") = ", StyleBox["k", FontSlant->"Italic"], " T(", StyleBox["v", FontSlant->"Italic"], ") \[ForAll] ", StyleBox["v", FontSlant->"Italic"], " \[Element] ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], "\n\t3) ", StyleBox["T", FontSlant->"Italic"], "(0,0) = (0,0)" }], "Text"], Cell[TextData[{ "We show here what happens with ", StyleBox["T1", "Input", FontWeight->"Plain"], ", ", StyleBox["T2", "Input", FontWeight->"Plain"], " and ", StyleBox["T6", "Input", FontWeight->"Plain"], "." }], "Text", TextAlignment->Left, TextJustification->1], Cell[TextData[{ "For ", StyleBox["T1", "Input", FontWeight->"Plain"], ":" }], "Text"], Cell[CellGroupData[{ Cell["\<\ T1[Subscript[v, 1]] + T1[Subscript[v, 2]] === T1[Subscript[v, 1] + Subscript[v, 2]]\ \>", "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["T1[k*Subscript[v, 1]] === k*T1[Subscript[v, 1]]", "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell["\<\ We also ask the students to check these properties by typing the \ right and left sides of the expressions separately, as follows:\ \>", "Text", TextAlignment->Left, TextJustification->1], Cell[CellGroupData[{ Cell["Expand[k*T1[Subscript[v, 1]]]", "Input"], Cell[BoxData[ \({k\ x\_1 + k\ y\_1, k + k\ x\_1 + k\ y\_1}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(T1[k\ v\_1]\)], "Input"], Cell[BoxData[ \({k\ x\_1 + k\ y\_1, 1 + k\ x\_1 + k\ y\_1}\)], "Output"] }, Open ]], Cell["Obviously, the expressions are not the same.", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(T1[{0, 0}]\)], "Input"], Cell[BoxData[ \({0, 1}\)], "Output"] }, Open ]], Cell[TextData[{ "For ", StyleBox["T2", "Input", FontWeight->"Plain"], ":" }], "Text"], Cell[CellGroupData[{ Cell["\<\ T2[Subscript[v, 1]] + T2[Subscript[v, 2]] === Expand[T2[Subscript[v, 1] + Subscript[v, 2]]]\ \>", "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["T2[k*Subscript[v, 1]] === Expand[k*T2[Subscript[v, 1]]]", "Input"], Cell[BoxData[ \(True\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(T2[{0, 0}]\)], "Input"], Cell[BoxData[ \({0, 0}\)], "Output"] }, Open ]], Cell[TextData[{ "Finally, for ", StyleBox["T6", "Input", FontWeight->"Plain"], ":" }], "Text"], Cell[CellGroupData[{ Cell["\<\ T6[Subscript[v, 1]] + T6[Subscript[v, 2]] === Expand[T6[Subscript[v, 1] + Subscript[v, 2]]]\ \>", "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell["T6[k*Subscript[v, 1]] === Expand[k*T6[Subscript[v, 1]]]", "Input"], Cell[BoxData[ \(False\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(T6[{0, 0}]\)], "Input"], Cell[BoxData[ \({0, 0}\)], "Output"] }, Open ]], Cell["\<\ After examining the remaining cases, the students should conclude \ that all the transformations except T1 and T6 satisfy the properties 1 and 2.\ \ \>", "Text", TextAlignment->Left, TextJustification->1], Cell[TextData[{ "DEFINITION: The transformations ", StyleBox["T", FontSlant->"Italic"], " that satisfy the properties\n\t1) ", StyleBox["T", FontSlant->"Italic"], "(", Cell[BoxData[ \(TraditionalForm\`v\_1\)]], " + ", Cell[BoxData[ \(TraditionalForm\`v\_2\)]], ") = ", StyleBox["T", FontSlant->"Italic"], "(", Cell[BoxData[ \(TraditionalForm\`v\_1\)]], ") + ", StyleBox["T", FontSlant->"Italic"], "(", Cell[BoxData[ \(TraditionalForm\`v\_2\)]], ") \[ForAll] ", Cell[BoxData[ \(TraditionalForm\`v\_1\)]], ", ", Cell[BoxData[ \(TraditionalForm\`v\_2\)]], " \[Element] ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], "\n\t2) ", StyleBox["T", FontSlant->"Italic"], "(", StyleBox["k v", FontSlant->"Italic"], ") = ", StyleBox["k", FontSlant->"Italic"], " T(", StyleBox["v", FontSlant->"Italic"], ") \[ForAll] ", StyleBox["v", FontSlant->"Italic"], " \[Element] ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], "\nare called Linear Transformations on the plane." }], "Text"], Cell[TextData[{ "We ask our students to calculate ", StyleBox["T", FontSlant->"Italic"], "(0,0) to demonstrate that ", StyleBox["T", FontSlant->"Italic"], "(0,0) = (0,0) does not imply that a transformation will be linear. We ask \ them to show the converse: \n\n", StyleBox["T", FontSlant->"Italic"], ": ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], "\[Rule] ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], " is a linear transformation \[Implies] ", StyleBox["T", FontSlant->"Italic"], "(0,0) = (0,0)." }], "Text", TextAlignment->Left, TextJustification->1] }, Open ]], Cell[CellGroupData[{ Cell["Images of linear transformations", "Section"], Cell[TextData[{ "In this section we are going to draw several sets of points of ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^2\)]], ". We define the function ", StyleBox["drawPoints", "Input", FontWeight->"Plain"], StyleBox[" ", FontFamily->"Courier New", FontWeight->"Bold"], "to draw the sets we\.b4ll work with:" }], "Text", TextAlignment->Left, TextJustification->1], Cell["\<\ drawPoints[pointSet_, shade_, size_] := ListPlot[pointSet, PlotStyle -> {GrayLevel[shade], PointSize[size]}, DisplayFunction -> Identity, AspectRatio -> Automatic]; \ \>", "Input", InitializationCell->True], Cell[TextData[{ "When this function is called, we must specify: the subset we want to ", StyleBox["drawPoints", "Input", FontWeight->"Plain"], ", the gray level, and the size of the points." }], "Text", TextAlignment->Left, TextJustification->1], Cell[TextData[{ "We also define the function ", StyleBox["trans", "Input", FontFamily->"Courier New", FontWeight->"Plain"], " to transform the subset \"set\" by the transformation \"T\"," }], "Text"], Cell["\<\ trans[T_, ptSet_] := ptSet /. {(x_)?NumericQ, y_} :> T[{x, y}]; \ \ \>", "Input", InitializationCell->True], Cell["\<\ To see the effect of the transformations, we are going to choose \ random points on the plane. \ \>", "Text", TextAlignment->Left, TextJustification->1], Cell["\<\ quad[1] = Table[{Random[], Random[]}, {200}]; quad[2] = Table[{-Random[], Random[]}, {200}]; quad[3] = Table[{-Random[], -Random[]}, {200}]; quad[4] = Table[{Random[], -Random[]}, {200}]; \ \>", "Input"], Cell["\<\ For plotting we use the function drawPoints previously defined.To \ distinguish the four quadrants, we\.b4ll use different gray levels:\ \>", "Text"], Cell["quadPlot[n_] := drawPoints[quad[n], (n - 1)/4, 0.015]; ", "Input"], Cell[TextData[ "domain = Show[{Table[quadPlot[n], {n, 4}]}, \n PlotLabel -> \ \"\\!\\(TraditionalForm\\`\[DoubleStruckCapitalR]\\^2\\)\"]; "], "Input"], Cell["Now we apply T3 to these points:", "Text"], Cell["T3quad[n_] := trans[T3, quad[n]]; ", "Input"], Cell[BoxData[ \(\(T3quadPlot[n_]\ := \ drawPoints[T3quad[n], \((n - 1)\)/4, \ 0.015]; \)\)], "Input"], Cell[TextData[ "imageT3 = Show[{Table[T3quadPlot[n], {n, 4}]}, \n PlotLabel -> \ \"T3[\\!\\(TraditionalForm\\`\[DoubleStruckCapitalR]\\^2\\)]\"]; "], "Input"], Cell[CellGroupData[{ Cell["\<\ Show[GraphicsArray[{domain, imageT3}], DisplayFunction -> \ $DisplayFunction]; \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .47602 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 0.0113338 0.47619 [ [ 0 0 0 0 ] [ 1 .47602 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .47602 L 0 .47602 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0113338 0.477324 0.464687 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.500255 0.476964 0.498999 0.476964 [ [.02329 .4865 -6 -9 ] [.02329 .4865 6 0 ] [.26177 .4865 -12 -9 ] [.26177 .4865 12 0 ] [.73874 .4865 -9 -9 ] [.73874 .4865 9 0 ] [.97722 .4865 -3 -9 ] [.97722 .4865 3 0 ] [.48775 .02203 -12 -4.5 ] [.48775 .02203 0 4.5 ] [.48775 .26052 -24 -4.5 ] [.48775 .26052 0 4.5 ] [.48775 .73748 -18 -4.5 ] [.48775 .73748 0 4.5 ] [.48775 .97596 -6 -4.5 ] [.48775 .97596 0 4.5 ] [.5 1.01214 -8.0625 0 ] [.5 1.01214 8.0625 12.4375 ] [ 0 0 0 0 ] [ 1 .99964 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02329 .499 m .02329 .50525 L s [(-1)] .02329 .4865 0 1 Mshowa .26177 .499 m .26177 .50525 L s [(-0.5)] .26177 .4865 0 1 Mshowa .73874 .499 m .73874 .50525 L s [(0.5)] .73874 .4865 0 1 Mshowa .97722 .499 m .97722 .50525 L s [(1)] .97722 .4865 0 1 Mshowa .125 Mabswid .07099 .499 m .07099 .50275 L s .11868 .499 m .11868 .50275 L s .16638 .499 m .16638 .50275 L s .21408 .499 m .21408 .50275 L s .30947 .499 m .30947 .50275 L s .35717 .499 m .35717 .50275 L s .40486 .499 m .40486 .50275 L s .45256 .499 m .45256 .50275 L s .54795 .499 m .54795 .50275 L s .59565 .499 m .59565 .50275 L s .64334 .499 m .64334 .50275 L s .69104 .499 m .69104 .50275 L s .78643 .499 m .78643 .50275 L s .83413 .499 m .83413 .50275 L s .88183 .499 m .88183 .50275 L s .92952 .499 m .92952 .50275 L s .25 Mabswid 0 .499 m 1 .499 L s .50025 .02203 m .5065 .02203 L s [(-1)] .48775 .02203 1 0 Mshowa .50025 .26052 m .5065 .26052 L s [(-0.5)] .48775 .26052 1 0 Mshowa .50025 .73748 m .5065 .73748 L s [(0.5)] .48775 .73748 1 0 Mshowa .50025 .97596 m .5065 .97596 L s [(1)] .48775 .97596 1 0 Mshowa .125 Mabswid .50025 .06973 m .504 .06973 L s .50025 .11743 m .504 .11743 L s .50025 .16512 m .504 .16512 L s .50025 .21282 m .504 .21282 L s .50025 .30821 m .504 .30821 L s .50025 .35591 m .504 .35591 L s .50025 .40361 m .504 .40361 L s .50025 .4513 m .504 .4513 L s .50025 .5467 m .504 .5467 L s .50025 .59439 m .504 .59439 L s .50025 .64209 m .504 .64209 L s .50025 .68978 m .504 .68978 L s .50025 .78518 m .504 .78518 L s .50025 .83287 m .504 .83287 L s .50025 .88057 m .504 .88057 L s .50025 .92827 m .504 .92827 L s .25 Mabswid .50025 0 m .50025 .99964 L s gsave .5 1.01214 -69.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 69.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show 75.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Courier grestore 0 0 m 1 0 L 1 .99964 L 0 .99964 L closepath clip newpath .015 w .64872 .89739 Mdot .97511 .54228 Mdot .90353 .64804 Mdot .82686 .5662 Mdot .64057 .51388 Mdot .61508 .67059 Mdot .63372 .69274 Mdot .57304 .57712 Mdot .59344 .52641 Mdot .81354 .79386 Mdot .89485 .96963 Mdot .85404 .73419 Mdot .74638 .57124 Mdot .85615 .69091 Mdot .82007 .89916 Mdot .52954 .62371 Mdot .67976 .88428 Mdot .89168 .92908 Mdot .5463 .69054 Mdot .81889 .85096 Mdot .93007 .66313 Mdot .50561 .5561 Mdot .53548 .66946 Mdot .62879 .79788 Mdot .76632 .59722 Mdot .74986 .60597 Mdot .92347 .67403 Mdot .72057 .95823 Mdot .74396 .76572 Mdot .80611 .52814 Mdot .69792 .57417 Mdot .96443 .65315 Mdot .74507 .88701 Mdot .95908 .59605 Mdot .70984 .71655 Mdot .83055 .77413 Mdot .92074 .61832 Mdot .58095 .66716 Mdot .97449 .92025 Mdot .8376 .6849 Mdot .73078 .65354 Mdot .53175 .65576 Mdot .53312 .57836 Mdot .54453 .50161 Mdot .76527 .66731 Mdot .56267 .88152 Mdot .55568 .92673 Mdot .70934 .60639 Mdot .61215 .80741 Mdot .62864 .91519 Mdot .61488 .86311 Mdot .76826 .72929 Mdot .86132 .70858 Mdot .73677 .57253 Mdot .82846 .62921 Mdot .69249 .56992 Mdot .56345 .93786 Mdot .63008 .66436 Mdot .50802 .51013 Mdot .89796 .55697 Mdot .87309 .67869 Mdot .76958 .61775 Mdot .75846 .79154 Mdot .50157 .86442 Mdot .87436 .58196 Mdot .74203 .79089 Mdot .54616 .92871 Mdot .54979 .71997 Mdot .95993 .96681 Mdot .89693 .55461 Mdot .95216 .95568 Mdot .97619 .9736 Mdot .57933 .77599 Mdot .70687 .85485 Mdot .79809 .96042 Mdot .70555 .96639 Mdot .90095 .87746 Mdot .94074 .6745 Mdot .85504 .92471 Mdot .89121 .93049 Mdot .87233 .93386 Mdot .97149 .87489 Mdot .89738 .95414 Mdot .97252 .87725 Mdot .8183 .67715 Mdot .76591 .5214 Mdot .52047 .6927 Mdot .56061 .53097 Mdot .59674 .7912 Mdot .59709 .83244 Mdot .71891 .84246 Mdot .6831 .8779 Mdot .8238 .88456 Mdot .68882 .50202 Mdot .90364 .90639 Mdot .69352 .60072 Mdot .58559 .72824 Mdot .90483 .57832 Mdot .56538 .53454 Mdot .84447 .54635 Mdot .94586 .7193 Mdot .74764 .68987 Mdot .7272 .8528 Mdot .5648 .78793 Mdot .88062 .9442 Mdot .85319 .78492 Mdot .95419 .53681 Mdot .65993 .68319 Mdot .86886 .78454 Mdot .73231 .60387 Mdot .80373 .749 Mdot .86506 .55652 Mdot .83509 .5287 Mdot .61767 .84261 Mdot .60814 .65186 Mdot .55313 .55367 Mdot .70474 .68362 Mdot .67715 .74472 Mdot .72777 .64581 Mdot .51748 .56053 Mdot .83613 .83723 Mdot .76239 .93263 Mdot .53265 .58723 Mdot .87455 .87511 Mdot .67478 .55753 Mdot .75714 .5315 Mdot .5669 .88163 Mdot .70427 .95379 Mdot .83938 .69701 Mdot .52737 .70806 Mdot .61187 .5502 Mdot .51014 .64653 Mdot .75296 .68893 Mdot .72497 .68987 Mdot .72056 .60069 Mdot .82764 .79073 Mdot .54603 .54216 Mdot .57075 .75823 Mdot .95634 .6365 Mdot .84371 .7804 Mdot .61722 .91545 Mdot .8166 .57134 Mdot .50561 .86425 Mdot .80671 .90077 Mdot .72988 .67433 Mdot .582 .7099 Mdot .50957 .57263 Mdot .73158 .89513 Mdot .94077 .52947 Mdot .66108 .63591 Mdot .96164 .86893 Mdot .79459 .83146 Mdot .84467 .92945 Mdot .95521 .75912 Mdot .83932 .56419 Mdot .64876 .83432 Mdot .60969 .86582 Mdot .56702 .62342 Mdot .60038 .79219 Mdot .81266 .70425 Mdot .63683 .76172 Mdot .65183 .56734 Mdot .65241 .86875 Mdot .83446 .71184 Mdot .78495 .91527 Mdot .85647 .92868 Mdot .92286 .85008 Mdot .70796 .59336 Mdot .81342 .96022 Mdot .6412 .94591 Mdot .71329 .66702 Mdot .80576 .74066 Mdot .57672 .88126 Mdot .65418 .67232 Mdot .90154 .51151 Mdot .79694 .93644 Mdot .61684 .5722 Mdot .91769 .50676 Mdot .6712 .69809 Mdot .70998 .88937 Mdot .83501 .71384 Mdot .56903 .91942 Mdot .62197 .54581 Mdot .74049 .67776 Mdot .5455 .64051 Mdot .58656 .50445 Mdot .62118 .628 Mdot .76684 .54397 Mdot .5046 .5548 Mdot .82637 .5362 Mdot .81061 .83267 Mdot .61664 .6228 Mdot .95283 .61783 Mdot .54786 .67934 Mdot .83112 .57102 Mdot .78459 .50058 Mdot .78587 .90647 Mdot .69829 .97209 Mdot .66495 .77747 Mdot .90867 .92713 Mdot .25 g .33991 .72167 Mdot .41795 .88992 Mdot .1733 .86496 Mdot .05737 .76612 Mdot .14891 .74613 Mdot .10498 .58578 Mdot .47977 .67411 Mdot .38932 .5842 Mdot .28843 .7436 Mdot .11039 .58807 Mdot .45312 .9421 Mdot .04184 .63691 Mdot .1365 .71943 Mdot .12415 .72295 Mdot .46345 .83043 Mdot .09007 .93279 Mdot .33783 .5833 Mdot .48534 .84601 Mdot .35832 .88515 Mdot .11931 .76081 Mdot .09318 .64055 Mdot .03221 .67174 Mdot .14032 .67441 Mdot .49062 .53383 Mdot .02711 .93094 Mdot .38976 .78684 Mdot .06391 .59951 Mdot .32299 .83001 Mdot .22633 .51521 Mdot .3379 .95996 Mdot .36827 .60602 Mdot .24188 .69815 Mdot .29838 .94143 Mdot .23297 .52541 Mdot .18135 .76602 Mdot .2426 .96754 Mdot .17754 .81104 Mdot .3531 .6797 Mdot .13692 .71053 Mdot .0534 .82566 Mdot .41085 .69432 Mdot .21575 .84166 Mdot .06587 .5873 Mdot .47412 .64251 Mdot .26774 .62184 Mdot .26445 .61611 Mdot .10968 .83178 Mdot .04513 .62452 Mdot .43239 .51974 Mdot .19229 .92078 Mdot .31876 .78517 Mdot .16218 .59412 Mdot .40817 .58984 Mdot .44668 .72842 Mdot .3656 .50154 Mdot .47281 .58491 Mdot .12115 .85566 Mdot .23165 .94477 Mdot .03476 .52288 Mdot .20981 .81924 Mdot .10262 .50215 Mdot .04081 .87442 Mdot .28411 .69294 Mdot .37889 .7793 Mdot .3762 .6021 Mdot .43247 .54987 Mdot .03389 .59956 Mdot .45992 .94092 Mdot .413 .71986 Mdot .25156 .97212 Mdot .40153 .69597 Mdot .06504 .65188 Mdot .3222 .69282 Mdot .04752 .75342 Mdot .06138 .97584 Mdot .16888 .95009 Mdot .18544 .87274 Mdot .23667 .89922 Mdot .17484 .77218 Mdot .27701 .93426 Mdot .26209 .55132 Mdot .04874 .9381 Mdot .36081 .83132 Mdot .48396 .78522 Mdot .0619 .63749 Mdot .45973 .5308 Mdot .02381 .63761 Mdot .31414 .55667 Mdot .33863 .74083 Mdot .10077 .63342 Mdot .18708 .94461 Mdot .32401 .67513 Mdot .42525 .89229 Mdot .29856 .71299 Mdot .08773 .55997 Mdot .31486 .90373 Mdot .04912 .89844 Mdot .35538 .87193 Mdot .0486 .75983 Mdot .06453 .81426 Mdot .21023 .51799 Mdot .46402 .67983 Mdot .04644 .54934 Mdot .16329 .5037 Mdot .12145 .63301 Mdot .36499 .76668 Mdot .05701 .57204 Mdot .07342 .83891 Mdot .03118 .64956 Mdot .21829 .94294 Mdot .48284 .8657 Mdot .17705 .62768 Mdot .2959 .84671 Mdot .21329 .92381 Mdot .27275 .79636 Mdot .07329 .91911 Mdot .1746 .66235 Mdot .20856 .65143 Mdot .14088 .5893 Mdot .15843 .78848 Mdot .13299 .9157 Mdot .4404 .82151 Mdot .15041 .549 Mdot .28663 .69282 Mdot .35476 .67826 Mdot .09663 .74497 Mdot .1053 .85786 Mdot .04663 .80183 Mdot .43095 .69451 Mdot .33833 .6494 Mdot .31336 .6042 Mdot .20319 .83688 Mdot .20367 .66446 Mdot .26304 .51438 Mdot .07655 .61446 Mdot .47667 .79752 Mdot .22205 .91216 Mdot .40333 .55154 Mdot .14004 .5533 Mdot .37999 .72567 Mdot .20934 .83476 Mdot .06495 .57527 Mdot .39623 .72955 Mdot .36202 .71435 Mdot .21585 .56409 Mdot .12227 .69898 Mdot .16259 .9256 Mdot .14585 .87742 Mdot .4408 .51244 Mdot .24278 .82488 Mdot .32405 .9351 Mdot .36305 .5982 Mdot .138 .59934 Mdot .32139 .52193 Mdot .24203 .84575 Mdot .45962 .78354 Mdot .04946 .78066 Mdot .36064 .58356 Mdot .38713 .83102 Mdot .23808 .6821 Mdot .44658 .81759 Mdot .49555 .83319 Mdot .14582 .85845 Mdot .15579 .73398 Mdot .03111 .75811 Mdot .33466 .71105 Mdot .28933 .88833 Mdot .3753 .90347 Mdot .26316 .60667 Mdot .03795 .8189 Mdot .37629 .75161 Mdot .30013 .6358 Mdot .42996 .90999 Mdot .30483 .77858 Mdot .30744 .55053 Mdot .17233 .54359 Mdot .29962 .76838 Mdot .33792 .80851 Mdot .03358 .85602 Mdot .46287 .881 Mdot .27067 .74835 Mdot .44821 .5611 Mdot .39464 .9727 Mdot .17138 .90126 Mdot .46493 .56171 Mdot .3668 .62168 Mdot .18078 .51018 Mdot .21777 .57709 Mdot .38142 .71776 Mdot .38011 .74454 Mdot .37113 .8377 Mdot .41749 .83951 Mdot .12375 .58835 Mdot .46953 .77741 Mdot .22937 .59161 Mdot .32144 .85211 Mdot .26469 .52889 Mdot .45489 .72942 Mdot .1072 .51771 Mdot .26041 .65133 Mdot .5 g .22604 .22208 Mdot .38056 .11524 Mdot .35517 .08382 Mdot .46332 .45575 Mdot .25471 .17317 Mdot .49405 .2572 Mdot .04864 .26578 Mdot .1959 .13334 Mdot .2842 .29568 Mdot .24126 .36377 Mdot .20028 .31439 Mdot .4811 .03914 Mdot .47449 .11434 Mdot .12384 .42289 Mdot .14261 .05256 Mdot .16077 .46614 Mdot .38816 .37839 Mdot .16697 .23098 Mdot .36281 .13464 Mdot .47133 .11967 Mdot .10191 .33797 Mdot .25336 .2549 Mdot .40188 .04561 Mdot .27251 .2378 Mdot .42764 .43027 Mdot .17197 .3139 Mdot .30832 .39974 Mdot .03449 .34676 Mdot .42042 .04339 Mdot .36777 .13782 Mdot .0809 .40774 Mdot .39669 .04018 Mdot .47924 .09181 Mdot .16662 .28428 Mdot .10066 .06824 Mdot .39436 .06852 Mdot .17327 .13697 Mdot .24569 .25361 Mdot .36521 .23623 Mdot .23449 .40585 Mdot .44505 .21487 Mdot .36697 .29007 Mdot .38744 .30613 Mdot .47054 .27193 Mdot .40845 .23635 Mdot .32721 .48665 Mdot .33109 .19015 Mdot .4331 .44017 Mdot .18111 .07522 Mdot .2107 .20859 Mdot .31615 .33799 Mdot .47647 .30174 Mdot .37136 .14515 Mdot .13278 .0337 Mdot .48418 .33802 Mdot .1625 .26077 Mdot .09902 .1237 Mdot .33555 .27312 Mdot .26819 .43255 Mdot .40271 .33195 Mdot .11037 .37937 Mdot .2153 .1454 Mdot .29447 .06341 Mdot .23908 .34266 Mdot .42337 .41726 Mdot .12959 .33099 Mdot .43944 .10128 Mdot .46734 .09226 Mdot .36372 .47658 Mdot .15508 .31813 Mdot .11882 .06607 Mdot .25263 .48518 Mdot .03174 .1857 Mdot .06062 .36182 Mdot .23752 .14432 Mdot .32179 .04119 Mdot .31441 .22606 Mdot .21549 .2092 Mdot .37522 .14681 Mdot .2484 .13898 Mdot .0348 .16923 Mdot .11661 .31984 Mdot .41623 .12519 Mdot .36424 .33366 Mdot .40778 .43849 Mdot .32691 .47084 Mdot .19355 .3162 Mdot .02841 .45169 Mdot .37939 .11218 Mdot .31317 .26452 Mdot .02746 .46437 Mdot .08806 .14758 Mdot .49292 .31717 Mdot .4717 .32673 Mdot .09998 .21402 Mdot .13075 .49207 Mdot .19246 .27453 Mdot .30409 .04326 Mdot .49916 .45732 Mdot .29897 .09057 Mdot .14306 .36718 Mdot .48606 .32505 Mdot .13889 .40181 Mdot .42129 .19951 Mdot .14623 .10668 Mdot .44985 .37177 Mdot .06954 .39166 Mdot .34239 .3787 Mdot .37734 .13917 Mdot .06159 .35747 Mdot .37843 .18084 Mdot .26287 .28893 Mdot .25866 .31266 Mdot .27707 .46288 Mdot .14305 .40984 Mdot .35603 .28541 Mdot .49708 .3252 Mdot .40643 .41264 Mdot .45083 .43254 Mdot .08733 .05598 Mdot .09678 .31541 Mdot .04903 .1975 Mdot .21861 .1566 Mdot .28641 .40757 Mdot .46021 .34294 Mdot .03264 .44369 Mdot .34045 .4321 Mdot .17686 .18031 Mdot .34362 .12893 Mdot .27068 .26667 Mdot .39304 .19539 Mdot .20664 .23272 Mdot .31955 .37898 Mdot .1809 .05725 Mdot .12423 .24441 Mdot .39474 .14868 Mdot .16428 .40047 Mdot .3854 .20399 Mdot .32409 .46737 Mdot .23182 .04572 Mdot .48072 .36047 Mdot .46139 .27805 Mdot .11097 .18711 Mdot .27804 .06736 Mdot .29167 .30713 Mdot .12043 .03214 Mdot .19073 .08476 Mdot .22594 .38246 Mdot .04974 .18329 Mdot .3408 .2005 Mdot .22591 .21492 Mdot .13227 .17681 Mdot .24544 .35345 Mdot .17113 .39776 Mdot .15776 .18837 Mdot .39334 .35243 Mdot .36635 .38024 Mdot .2962 .34233 Mdot .19891 .31751 Mdot .09355 .45887 Mdot .17246 .15626 Mdot .253 .28041 Mdot .4468 .44034 Mdot .14403 .12563 Mdot .22465 .10892 Mdot .47315 .22687 Mdot .09018 .41955 Mdot .1031 .37344 Mdot .22409 .06135 Mdot .30716 .05314 Mdot .04848 .24284 Mdot .2369 .09327 Mdot .37628 .10861 Mdot .48415 .31186 Mdot .42973 .16727 Mdot .36342 .20826 Mdot .22836 .08039 Mdot .39052 .48039 Mdot .16147 .15983 Mdot .31071 .12899 Mdot .43764 .12052 Mdot .02684 .09788 Mdot .41245 .37668 Mdot .2902 .02665 Mdot .05947 .29011 Mdot .3063 .21379 Mdot .12999 .14487 Mdot .44313 .02756 Mdot .40188 .08652 Mdot .0759 .04617 Mdot .2637 .42568 Mdot .26545 .41618 Mdot .32632 .3272 Mdot .2619 .34033 Mdot .41412 .44951 Mdot .47196 .33572 Mdot .37795 .18144 Mdot .18895 .14396 Mdot .27124 .05861 Mdot .24607 .13844 Mdot .75 g .6309 .47109 Mdot .80705 .11431 Mdot .87131 .06744 Mdot .57225 .19713 Mdot .69737 .23925 Mdot .81086 .3558 Mdot .61124 .28873 Mdot .78256 .04212 Mdot .96589 .12933 Mdot .94822 .39716 Mdot .73688 .09275 Mdot .69404 .28075 Mdot .60624 .12066 Mdot .86421 .18848 Mdot .71215 .07525 Mdot .79222 .49034 Mdot .51504 .335 Mdot .95858 .15658 Mdot .88102 .06831 Mdot .67627 .13649 Mdot .89234 .43798 Mdot .70527 .23833 Mdot .65572 .36726 Mdot .51148 .45658 Mdot .54973 .26864 Mdot .62449 .29013 Mdot .8148 .21542 Mdot .80949 .29879 Mdot .80002 .37942 Mdot .82813 .16425 Mdot .89622 .33314 Mdot .65211 .04979 Mdot .50413 .39416 Mdot .92406 .31046 Mdot .82564 .04893 Mdot .91283 .35289 Mdot .77616 .27929 Mdot .7886 .08479 Mdot .93858 .0859 Mdot .95633 .285 Mdot .63882 .20549 Mdot .62845 .14279 Mdot .71982 .37134 Mdot .95356 .11503 Mdot .71594 .47618 Mdot .52976 .30357 Mdot .86752 .44928 Mdot .59414 .44968 Mdot .59161 .19203 Mdot .78276 .38693 Mdot .63025 .12816 Mdot .80366 .12396 Mdot .96865 .42167 Mdot .67546 .48017 Mdot .74909 .07236 Mdot .69912 .38718 Mdot .53341 .09518 Mdot .66962 .10564 Mdot .64311 .14489 Mdot .57573 .15496 Mdot .55175 .45187 Mdot .77018 .26703 Mdot .89872 .34575 Mdot .94374 .1651 Mdot .90728 .42308 Mdot .76854 .18393 Mdot .65844 .37275 Mdot .56967 .29575 Mdot .62529 .29961 Mdot .87727 .21215 Mdot .9594 .17675 Mdot .8018 .07922 Mdot .90791 .22388 Mdot .53187 .31119 Mdot .50944 .37714 Mdot .56534 .16812 Mdot .57938 .45306 Mdot .77403 .48319 Mdot .89816 .10234 Mdot .70461 .20947 Mdot .77312 .30172 Mdot .80455 .49632 Mdot .79094 .147 Mdot .50301 .43913 Mdot .86025 .42212 Mdot .94836 .14998 Mdot .85106 .06702 Mdot .88327 .48086 Mdot .77194 .11296 Mdot .6095 .49668 Mdot .851 .03266 Mdot .88211 .30924 Mdot .57814 .22994 Mdot .57781 .31192 Mdot .76442 .10497 Mdot .57505 .37179 Mdot .88138 .18185 Mdot .60391 .24384 Mdot .53057 .13686 Mdot .69786 .26197 Mdot .73585 .04594 Mdot .58862 .2643 Mdot .86207 .03531 Mdot .68373 .45405 Mdot .78419 .30438 Mdot .60618 .16416 Mdot .52003 .22144 Mdot .53138 .29137 Mdot .61587 .06163 Mdot .90469 .06957 Mdot .58555 .42377 Mdot .70708 .30659 Mdot .82692 .39986 Mdot .61871 .06433 Mdot .94206 .38658 Mdot .9122 .10928 Mdot .65813 .10424 Mdot .80627 .44412 Mdot .63835 .38179 Mdot .77514 .17478 Mdot .52274 .34219 Mdot .84767 .12724 Mdot .91441 .41743 Mdot .64085 .31965 Mdot .58775 .0396 Mdot .52239 .27735 Mdot .6229 .15202 Mdot .58741 .19011 Mdot .94199 .06981 Mdot .75835 .24499 Mdot .8039 .18702 Mdot .96043 .09224 Mdot .78141 .34382 Mdot .61301 .464 Mdot .84422 .4254 Mdot .94938 .16638 Mdot .75672 .40783 Mdot .92725 .38803 Mdot .63407 .27785 Mdot .8401 .21996 Mdot .6693 .23007 Mdot .582 .47397 Mdot .84262 .06508 Mdot .59879 .40376 Mdot .56147 .22026 Mdot .963 .43876 Mdot .69447 .29386 Mdot .51387 .29441 Mdot .91496 .38503 Mdot .56383 .40538 Mdot .78115 .12922 Mdot .70095 .20745 Mdot .61211 .39815 Mdot .6192 .23248 Mdot .74671 .3551 Mdot .52067 .32773 Mdot .68549 .15688 Mdot .53489 .38797 Mdot .96825 .36202 Mdot .52127 .1156 Mdot .55354 .47599 Mdot .93466 .20922 Mdot .74961 .36881 Mdot .73396 .0238 Mdot .63776 .46966 Mdot .61501 .29032 Mdot .86827 .13659 Mdot .5946 .46159 Mdot .68303 .47871 Mdot .55997 .09565 Mdot .692 .13872 Mdot .53895 .47906 Mdot .63872 .16173 Mdot .58151 .29187 Mdot .86633 .29192 Mdot .82477 .2901 Mdot .72883 .32126 Mdot .71001 .49879 Mdot .83778 .20671 Mdot .61567 .05924 Mdot .65501 .227 Mdot .55596 .46258 Mdot .94022 .11031 Mdot .51727 .48252 Mdot .80176 .44758 Mdot .91298 .21269 Mdot .91265 .17769 Mdot .58846 .42158 Mdot .68407 .35543 Mdot .85567 .42179 Mdot .82351 .17076 Mdot .74025 .38459 Mdot .66876 .44275 Mdot .68454 .42101 Mdot .70575 .35448 Mdot .66753 .43749 Mdot .88121 .4059 Mdot .73177 .24683 Mdot .94579 .25024 Mdot .64357 .32425 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.522676 0.0113338 0.97619 0.464687 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.500255 0.158988 0.498999 0.158988 [ [.02329 .4865 -6 -9 ] [.02329 .4865 6 0 ] [.18228 .4865 -6 -9 ] [.18228 .4865 6 0 ] [.34127 .4865 -6 -9 ] [.34127 .4865 6 0 ] [.65924 .4865 -3 -9 ] [.65924 .4865 3 0 ] [.81823 .4865 -3 -9 ] [.81823 .4865 3 0 ] [.97722 .4865 -3 -9 ] [.97722 .4865 3 0 ] [.48775 .02203 -12 -4.5 ] [.48775 .02203 0 4.5 ] [.48775 .18102 -12 -4.5 ] [.48775 .18102 0 4.5 ] [.48775 .34001 -12 -4.5 ] [.48775 .34001 0 4.5 ] [.48775 .65799 -6 -4.5 ] [.48775 .65799 0 4.5 ] [.48775 .81697 -6 -4.5 ] [.48775 .81697 0 4.5 ] [.48775 .97596 -6 -4.5 ] [.48775 .97596 0 4.5 ] [.5 1.01214 -20.0625 0 ] [.5 1.01214 20.0625 12.4375 ] [ 0 0 0 0 ] [ 1 .99964 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02329 .499 m .02329 .50525 L s [(-3)] .02329 .4865 0 1 Mshowa .18228 .499 m .18228 .50525 L s [(-2)] .18228 .4865 0 1 Mshowa .34127 .499 m .34127 .50525 L s [(-1)] .34127 .4865 0 1 Mshowa .65924 .499 m .65924 .50525 L s [(1)] .65924 .4865 0 1 Mshowa .81823 .499 m .81823 .50525 L s [(2)] .81823 .4865 0 1 Mshowa .97722 .499 m .97722 .50525 L s [(3)] .97722 .4865 0 1 Mshowa .125 Mabswid .05509 .499 m .05509 .50275 L s .08689 .499 m .08689 .50275 L s .11868 .499 m .11868 .50275 L s .15048 .499 m .15048 .50275 L s .21408 .499 m .21408 .50275 L s .24587 .499 m .24587 .50275 L s .27767 .499 m .27767 .50275 L s .30947 .499 m .30947 .50275 L s .37306 .499 m .37306 .50275 L s .40486 .499 m .40486 .50275 L s .43666 .499 m .43666 .50275 L s .46846 .499 m .46846 .50275 L s .53205 .499 m .53205 .50275 L s .56385 .499 m .56385 .50275 L s .59565 .499 m .59565 .50275 L s .62745 .499 m .62745 .50275 L s .69104 .499 m .69104 .50275 L s .72284 .499 m .72284 .50275 L s .75464 .499 m .75464 .50275 L s .78643 .499 m .78643 .50275 L s .85003 .499 m .85003 .50275 L s .88183 .499 m .88183 .50275 L s .91362 .499 m .91362 .50275 L s .94542 .499 m .94542 .50275 L s .25 Mabswid 0 .499 m 1 .499 L s .50025 .02203 m .5065 .02203 L s [(-3)] .48775 .02203 1 0 Mshowa .50025 .18102 m .5065 .18102 L s [(-2)] .48775 .18102 1 0 Mshowa .50025 .34001 m .5065 .34001 L s [(-1)] .48775 .34001 1 0 Mshowa .50025 .65799 m .5065 .65799 L s [(1)] .48775 .65799 1 0 Mshowa .50025 .81697 m .5065 .81697 L s [(2)] .48775 .81697 1 0 Mshowa .50025 .97596 m .5065 .97596 L s [(3)] .48775 .97596 1 0 Mshowa .125 Mabswid .50025 .05383 m .504 .05383 L s .50025 .08563 m .504 .08563 L s .50025 .11743 m .504 .11743 L s .50025 .14923 m .504 .14923 L s .50025 .21282 m .504 .21282 L s .50025 .24462 m .504 .24462 L s .50025 .27642 m .504 .27642 L s .50025 .30821 m .504 .30821 L s .50025 .37181 m .504 .37181 L s .50025 .40361 m .504 .40361 L s .50025 .4354 m .504 .4354 L s .50025 .4672 m .504 .4672 L s .50025 .5308 m .504 .5308 L s .50025 .56259 m .504 .56259 L s .50025 .59439 m .504 .59439 L s .50025 .62619 m .504 .62619 L s .50025 .68978 m .504 .68978 L s .50025 .72158 m .504 .72158 L s .50025 .75338 m .504 .75338 L s .50025 .78518 m .504 .78518 L s .50025 .84877 m .504 .84877 L s .50025 .88057 m .504 .88057 L s .50025 .91237 m .504 .91237 L s .50025 .94417 m .504 .94417 L s .25 Mabswid .50025 0 m .50025 .99964 L s gsave .5 1.01214 -81.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (T3) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 75.000000 13.437500 moveto (@) show 81.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 87.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 93.125000 13.437500 moveto (D) show 99.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Math2Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Math2Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Math2Mono %%+ font Courier grestore 0 0 m 1 0 L 1 .99964 L 0 .99964 L closepath clip newpath .015 w .64872 .89739 Mdot .97511 .54228 Mdot .90353 .64804 Mdot .82686 .5662 Mdot .64057 .51388 Mdot .61508 .67059 Mdot .63372 .69274 Mdot .57304 .57712 Mdot .59344 .52641 Mdot .81354 .79386 Mdot .89485 .96963 Mdot .85404 .73419 Mdot .74638 .57124 Mdot .85615 .69091 Mdot .82007 .89916 Mdot .52954 .62371 Mdot .67976 .88428 Mdot .89168 .92908 Mdot .5463 .69054 Mdot .81889 .85096 Mdot .93007 .66313 Mdot .50561 .5561 Mdot .53548 .66946 Mdot .62879 .79788 Mdot .76632 .59722 Mdot .74986 .60597 Mdot .92347 .67403 Mdot .72057 .95823 Mdot .74396 .76572 Mdot .80611 .52814 Mdot .69792 .57417 Mdot .96443 .65315 Mdot .74507 .88701 Mdot .95908 .59605 Mdot .70984 .71655 Mdot .83055 .77413 Mdot .92074 .61832 Mdot .58095 .66716 Mdot .97449 .92025 Mdot .8376 .6849 Mdot .73078 .65354 Mdot .53175 .65576 Mdot .53312 .57836 Mdot .54453 .50161 Mdot .76527 .66731 Mdot .56267 .88152 Mdot .55568 .92673 Mdot .70934 .60639 Mdot .61215 .80741 Mdot .62864 .91519 Mdot .61488 .86311 Mdot .76826 .72929 Mdot .86132 .70858 Mdot .73677 .57253 Mdot .82846 .62921 Mdot .69249 .56992 Mdot .56345 .93786 Mdot .63008 .66436 Mdot .50802 .51013 Mdot .89796 .55697 Mdot .87309 .67869 Mdot .76958 .61775 Mdot .75846 .79154 Mdot .50157 .86442 Mdot .87436 .58196 Mdot .74203 .79089 Mdot .54616 .92871 Mdot .54979 .71997 Mdot .95993 .96681 Mdot .89693 .55461 Mdot .95216 .95568 Mdot .97619 .9736 Mdot .57933 .77599 Mdot .70687 .85485 Mdot .79809 .96042 Mdot .70555 .96639 Mdot .90095 .87746 Mdot .94074 .6745 Mdot .85504 .92471 Mdot .89121 .93049 Mdot .87233 .93386 Mdot .97149 .87489 Mdot .89738 .95414 Mdot .97252 .87725 Mdot .8183 .67715 Mdot .76591 .5214 Mdot .52047 .6927 Mdot .56061 .53097 Mdot .59674 .7912 Mdot .59709 .83244 Mdot .71891 .84246 Mdot .6831 .8779 Mdot .8238 .88456 Mdot .68882 .50202 Mdot .90364 .90639 Mdot .69352 .60072 Mdot .58559 .72824 Mdot .90483 .57832 Mdot .56538 .53454 Mdot .84447 .54635 Mdot .94586 .7193 Mdot .74764 .68987 Mdot .7272 .8528 Mdot .5648 .78793 Mdot .88062 .9442 Mdot .85319 .78492 Mdot .95419 .53681 Mdot .65993 .68319 Mdot .86886 .78454 Mdot .73231 .60387 Mdot .80373 .749 Mdot .86506 .55652 Mdot .83509 .5287 Mdot .61767 .84261 Mdot .60814 .65186 Mdot .55313 .55367 Mdot .70474 .68362 Mdot .67715 .74472 Mdot .72777 .64581 Mdot .51748 .56053 Mdot .83613 .83723 Mdot .76239 .93263 Mdot .53265 .58723 Mdot .87455 .87511 Mdot .67478 .55753 Mdot .75714 .5315 Mdot .5669 .88163 Mdot .70427 .95379 Mdot .83938 .69701 Mdot .52737 .70806 Mdot .61187 .5502 Mdot .51014 .64653 Mdot .75296 .68893 Mdot .72497 .68987 Mdot .72056 .60069 Mdot .82764 .79073 Mdot .54603 .54216 Mdot .57075 .75823 Mdot .95634 .6365 Mdot .84371 .7804 Mdot .61722 .91545 Mdot .8166 .57134 Mdot .50561 .86425 Mdot .80671 .90077 Mdot .72988 .67433 Mdot .582 .7099 Mdot .50957 .57263 Mdot .73158 .89513 Mdot .94077 .52947 Mdot .66108 .63591 Mdot .96164 .86893 Mdot .79459 .83146 Mdot .84467 .92945 Mdot .95521 .75912 Mdot .83932 .56419 Mdot .64876 .83432 Mdot .60969 .86582 Mdot .56702 .62342 Mdot .60038 .79219 Mdot .81266 .70425 Mdot .63683 .76172 Mdot .65183 .56734 Mdot .65241 .86875 Mdot .83446 .71184 Mdot .78495 .91527 Mdot .85647 .92868 Mdot .92286 .85008 Mdot .70796 .59336 Mdot .81342 .96022 Mdot .6412 .94591 Mdot .71329 .66702 Mdot .80576 .74066 Mdot .57672 .88126 Mdot .65418 .67232 Mdot .90154 .51151 Mdot .79694 .93644 Mdot .61684 .5722 Mdot .91769 .50676 Mdot .6712 .69809 Mdot .70998 .88937 Mdot .83501 .71384 Mdot .56903 .91942 Mdot .62197 .54581 Mdot .74049 .67776 Mdot .5455 .64051 Mdot .58656 .50445 Mdot .62118 .628 Mdot .76684 .54397 Mdot .5046 .5548 Mdot .82637 .5362 Mdot .81061 .83267 Mdot .61664 .6228 Mdot .95283 .61783 Mdot .54786 .67934 Mdot .83112 .57102 Mdot .78459 .50058 Mdot .78587 .90647 Mdot .69829 .97209 Mdot .66495 .77747 Mdot .90867 .92713 Mdot .25 g .33991 .72167 Mdot .41795 .88992 Mdot .1733 .86496 Mdot .05737 .76612 Mdot .14891 .74613 Mdot .10498 .58578 Mdot .47977 .67411 Mdot .38932 .5842 Mdot .28843 .7436 Mdot .11039 .58807 Mdot .45312 .9421 Mdot .04184 .63691 Mdot .1365 .71943 Mdot .12415 .72295 Mdot .46345 .83043 Mdot .09007 .93279 Mdot .33783 .5833 Mdot .48534 .84601 Mdot .35832 .88515 Mdot .11931 .76081 Mdot .09318 .64055 Mdot .03221 .67174 Mdot .14032 .67441 Mdot .49062 .53383 Mdot .02711 .93094 Mdot .38976 .78684 Mdot .06391 .59951 Mdot .32299 .83001 Mdot .22633 .51521 Mdot .3379 .95996 Mdot .36827 .60602 Mdot .24188 .69815 Mdot .29838 .94143 Mdot .23297 .52541 Mdot .18135 .76602 Mdot .2426 .96754 Mdot .17754 .81104 Mdot .3531 .6797 Mdot .13692 .71053 Mdot .0534 .82566 Mdot .41085 .69432 Mdot .21575 .84166 Mdot .06587 .5873 Mdot .47412 .64251 Mdot .26774 .62184 Mdot .26445 .61611 Mdot .10968 .83178 Mdot .04513 .62452 Mdot .43239 .51974 Mdot .19229 .92078 Mdot .31876 .78517 Mdot .16218 .59412 Mdot .40817 .58984 Mdot .44668 .72842 Mdot .3656 .50154 Mdot .47281 .58491 Mdot .12115 .85566 Mdot .23165 .94477 Mdot .03476 .52288 Mdot .20981 .81924 Mdot .10262 .50215 Mdot .04081 .87442 Mdot .28411 .69294 Mdot .37889 .7793 Mdot .3762 .6021 Mdot .43247 .54987 Mdot .03389 .59956 Mdot .45992 .94092 Mdot .413 .71986 Mdot .25156 .97212 Mdot .40153 .69597 Mdot .06504 .65188 Mdot .3222 .69282 Mdot .04752 .75342 Mdot .06138 .97584 Mdot .16888 .95009 Mdot .18544 .87274 Mdot .23667 .89922 Mdot .17484 .77218 Mdot .27701 .93426 Mdot .26209 .55132 Mdot .04874 .9381 Mdot .36081 .83132 Mdot .48396 .78522 Mdot .0619 .63749 Mdot .45973 .5308 Mdot .02381 .63761 Mdot .31414 .55667 Mdot .33863 .74083 Mdot .10077 .63342 Mdot .18708 .94461 Mdot .32401 .67513 Mdot .42525 .89229 Mdot .29856 .71299 Mdot .08773 .55997 Mdot .31486 .90373 Mdot .04912 .89844 Mdot .35538 .87193 Mdot .0486 .75983 Mdot .06453 .81426 Mdot .21023 .51799 Mdot .46402 .67983 Mdot .04644 .54934 Mdot .16329 .5037 Mdot .12145 .63301 Mdot .36499 .76668 Mdot .05701 .57204 Mdot .07342 .83891 Mdot .03118 .64956 Mdot .21829 .94294 Mdot .48284 .8657 Mdot .17705 .62768 Mdot .2959 .84671 Mdot .21329 .92381 Mdot .27275 .79636 Mdot .07329 .91911 Mdot .1746 .66235 Mdot .20856 .65143 Mdot .14088 .5893 Mdot .15843 .78848 Mdot .13299 .9157 Mdot .4404 .82151 Mdot .15041 .549 Mdot .28663 .69282 Mdot .35476 .67826 Mdot .09663 .74497 Mdot .1053 .85786 Mdot .04663 .80183 Mdot .43095 .69451 Mdot .33833 .6494 Mdot .31336 .6042 Mdot .20319 .83688 Mdot .20367 .66446 Mdot .26304 .51438 Mdot .07655 .61446 Mdot .47667 .79752 Mdot .22205 .91216 Mdot .40333 .55154 Mdot .14004 .5533 Mdot .37999 .72567 Mdot .20934 .83476 Mdot .06495 .57527 Mdot .39623 .72955 Mdot .36202 .71435 Mdot .21585 .56409 Mdot .12227 .69898 Mdot .16259 .9256 Mdot .14585 .87742 Mdot .4408 .51244 Mdot .24278 .82488 Mdot .32405 .9351 Mdot .36305 .5982 Mdot .138 .59934 Mdot .32139 .52193 Mdot .24203 .84575 Mdot .45962 .78354 Mdot .04946 .78066 Mdot .36064 .58356 Mdot .38713 .83102 Mdot .23808 .6821 Mdot .44658 .81759 Mdot .49555 .83319 Mdot .14582 .85845 Mdot .15579 .73398 Mdot .03111 .75811 Mdot .33466 .71105 Mdot .28933 .88833 Mdot .3753 .90347 Mdot .26316 .60667 Mdot .03795 .8189 Mdot .37629 .75161 Mdot .30013 .6358 Mdot .42996 .90999 Mdot .30483 .77858 Mdot .30744 .55053 Mdot .17233 .54359 Mdot .29962 .76838 Mdot .33792 .80851 Mdot .03358 .85602 Mdot .46287 .881 Mdot .27067 .74835 Mdot .44821 .5611 Mdot .39464 .9727 Mdot .17138 .90126 Mdot .46493 .56171 Mdot .3668 .62168 Mdot .18078 .51018 Mdot .21777 .57709 Mdot .38142 .71776 Mdot .38011 .74454 Mdot .37113 .8377 Mdot .41749 .83951 Mdot .12375 .58835 Mdot .46953 .77741 Mdot .22937 .59161 Mdot .32144 .85211 Mdot .26469 .52889 Mdot .45489 .72942 Mdot .1072 .51771 Mdot .26041 .65133 Mdot .5 g .22604 .22208 Mdot .38056 .11524 Mdot .35517 .08382 Mdot .46332 .45575 Mdot .25471 .17317 Mdot .49405 .2572 Mdot .04864 .26578 Mdot .1959 .13334 Mdot .2842 .29568 Mdot .24126 .36377 Mdot .20028 .31439 Mdot .4811 .03914 Mdot .47449 .11434 Mdot .12384 .42289 Mdot .14261 .05256 Mdot .16077 .46614 Mdot .38816 .37839 Mdot .16697 .23098 Mdot .36281 .13464 Mdot .47133 .11967 Mdot .10191 .33797 Mdot .25336 .2549 Mdot .40188 .04561 Mdot .27251 .2378 Mdot .42764 .43027 Mdot .17197 .3139 Mdot .30832 .39974 Mdot .03449 .34676 Mdot .42042 .04339 Mdot .36777 .13782 Mdot .0809 .40774 Mdot .39669 .04018 Mdot .47924 .09181 Mdot .16662 .28428 Mdot .10066 .06824 Mdot .39436 .06852 Mdot .17327 .13697 Mdot .24569 .25361 Mdot .36521 .23623 Mdot .23449 .40585 Mdot .44505 .21487 Mdot .36697 .29007 Mdot .38744 .30613 Mdot .47054 .27193 Mdot .40845 .23635 Mdot .32721 .48665 Mdot .33109 .19015 Mdot .4331 .44017 Mdot .18111 .07522 Mdot .2107 .20859 Mdot .31615 .33799 Mdot .47647 .30174 Mdot .37136 .14515 Mdot .13278 .0337 Mdot .48418 .33802 Mdot .1625 .26077 Mdot .09902 .1237 Mdot .33555 .27312 Mdot .26819 .43255 Mdot .40271 .33195 Mdot .11037 .37937 Mdot .2153 .1454 Mdot .29447 .06341 Mdot .23908 .34266 Mdot .42337 .41726 Mdot .12959 .33099 Mdot .43944 .10128 Mdot .46734 .09226 Mdot .36372 .47658 Mdot .15508 .31813 Mdot .11882 .06607 Mdot .25263 .48518 Mdot .03174 .1857 Mdot .06062 .36182 Mdot .23752 .14432 Mdot .32179 .04119 Mdot .31441 .22606 Mdot .21549 .2092 Mdot .37522 .14681 Mdot .2484 .13898 Mdot .0348 .16923 Mdot .11661 .31984 Mdot .41623 .12519 Mdot .36424 .33366 Mdot .40778 .43849 Mdot .32691 .47084 Mdot .19355 .3162 Mdot .02841 .45169 Mdot .37939 .11218 Mdot .31317 .26452 Mdot .02746 .46437 Mdot .08806 .14758 Mdot .49292 .31717 Mdot .4717 .32673 Mdot .09998 .21402 Mdot .13075 .49207 Mdot .19246 .27453 Mdot .30409 .04326 Mdot .49916 .45732 Mdot .29897 .09057 Mdot .14306 .36718 Mdot .48606 .32505 Mdot .13889 .40181 Mdot .42129 .19951 Mdot .14623 .10668 Mdot .44985 .37177 Mdot .06954 .39166 Mdot .34239 .3787 Mdot .37734 .13917 Mdot .06159 .35747 Mdot .37843 .18084 Mdot .26287 .28893 Mdot .25866 .31266 Mdot .27707 .46288 Mdot .14305 .40984 Mdot .35603 .28541 Mdot .49708 .3252 Mdot .40643 .41264 Mdot .45083 .43254 Mdot .08733 .05598 Mdot .09678 .31541 Mdot .04903 .1975 Mdot .21861 .1566 Mdot .28641 .40757 Mdot .46021 .34294 Mdot .03264 .44369 Mdot .34045 .4321 Mdot .17686 .18031 Mdot .34362 .12893 Mdot .27068 .26667 Mdot .39304 .19539 Mdot .20664 .23272 Mdot .31955 .37898 Mdot .1809 .05725 Mdot .12423 .24441 Mdot .39474 .14868 Mdot .16428 .40047 Mdot .3854 .20399 Mdot .32409 .46737 Mdot .23182 .04572 Mdot .48072 .36047 Mdot .46139 .27805 Mdot .11097 .18711 Mdot .27804 .06736 Mdot .29167 .30713 Mdot .12043 .03214 Mdot .19073 .08476 Mdot .22594 .38246 Mdot .04974 .18329 Mdot .3408 .2005 Mdot .22591 .21492 Mdot .13227 .17681 Mdot .24544 .35345 Mdot .17113 .39776 Mdot .15776 .18837 Mdot .39334 .35243 Mdot .36635 .38024 Mdot .2962 .34233 Mdot .19891 .31751 Mdot .09355 .45887 Mdot .17246 .15626 Mdot .253 .28041 Mdot .4468 .44034 Mdot .14403 .12563 Mdot .22465 .10892 Mdot .47315 .22687 Mdot .09018 .41955 Mdot .1031 .37344 Mdot .22409 .06135 Mdot .30716 .05314 Mdot .04848 .24284 Mdot .2369 .09327 Mdot .37628 .10861 Mdot .48415 .31186 Mdot .42973 .16727 Mdot .36342 .20826 Mdot .22836 .08039 Mdot .39052 .48039 Mdot .16147 .15983 Mdot .31071 .12899 Mdot .43764 .12052 Mdot .02684 .09788 Mdot .41245 .37668 Mdot .2902 .02665 Mdot .05947 .29011 Mdot .3063 .21379 Mdot .12999 .14487 Mdot .44313 .02756 Mdot .40188 .08652 Mdot .0759 .04617 Mdot .2637 .42568 Mdot .26545 .41618 Mdot .32632 .3272 Mdot .2619 .34033 Mdot .41412 .44951 Mdot .47196 .33572 Mdot .37795 .18144 Mdot .18895 .14396 Mdot .27124 .05861 Mdot .24607 .13844 Mdot .75 g .6309 .47109 Mdot .80705 .11431 Mdot .87131 .06744 Mdot .57225 .19713 Mdot .69737 .23925 Mdot .81086 .3558 Mdot .61124 .28873 Mdot .78256 .04212 Mdot .96589 .12933 Mdot .94822 .39716 Mdot .73688 .09275 Mdot .69404 .28075 Mdot .60624 .12066 Mdot .86421 .18848 Mdot .71215 .07525 Mdot .79222 .49034 Mdot .51504 .335 Mdot .95858 .15658 Mdot .88102 .06831 Mdot .67627 .13649 Mdot .89234 .43798 Mdot .70527 .23833 Mdot .65572 .36726 Mdot .51148 .45658 Mdot .54973 .26864 Mdot .62449 .29013 Mdot .8148 .21542 Mdot .80949 .29879 Mdot .80002 .37942 Mdot .82813 .16425 Mdot .89622 .33314 Mdot .65211 .04979 Mdot .50413 .39416 Mdot .92406 .31046 Mdot .82564 .04893 Mdot .91283 .35289 Mdot .77616 .27929 Mdot .7886 .08479 Mdot .93858 .0859 Mdot .95633 .285 Mdot .63882 .20549 Mdot .62845 .14279 Mdot .71982 .37134 Mdot .95356 .11503 Mdot .71594 .47618 Mdot .52976 .30357 Mdot .86752 .44928 Mdot .59414 .44968 Mdot .59161 .19203 Mdot .78276 .38693 Mdot .63025 .12816 Mdot .80366 .12396 Mdot .96865 .42167 Mdot .67546 .48017 Mdot .74909 .07236 Mdot .69912 .38718 Mdot .53341 .09518 Mdot .66962 .10564 Mdot .64311 .14489 Mdot .57573 .15496 Mdot .55175 .45187 Mdot .77018 .26703 Mdot .89872 .34575 Mdot .94374 .1651 Mdot .90728 .42308 Mdot .76854 .18393 Mdot .65844 .37275 Mdot .56967 .29575 Mdot .62529 .29961 Mdot .87727 .21215 Mdot .9594 .17675 Mdot .8018 .07922 Mdot .90791 .22388 Mdot .53187 .31119 Mdot .50944 .37714 Mdot .56534 .16812 Mdot .57938 .45306 Mdot .77403 .48319 Mdot .89816 .10234 Mdot .70461 .20947 Mdot .77312 .30172 Mdot .80455 .49632 Mdot .79094 .147 Mdot .50301 .43913 Mdot .86025 .42212 Mdot .94836 .14998 Mdot .85106 .06702 Mdot .88327 .48086 Mdot .77194 .11296 Mdot .6095 .49668 Mdot .851 .03266 Mdot .88211 .30924 Mdot .57814 .22994 Mdot .57781 .31192 Mdot .76442 .10497 Mdot .57505 .37179 Mdot .88138 .18185 Mdot .60391 .24384 Mdot .53057 .13686 Mdot .69786 .26197 Mdot .73585 .04594 Mdot .58862 .2643 Mdot .86207 .03531 Mdot .68373 .45405 Mdot .78419 .30438 Mdot .60618 .16416 Mdot .52003 .22144 Mdot .53138 .29137 Mdot .61587 .06163 Mdot .90469 .06957 Mdot .58555 .42377 Mdot .70708 .30659 Mdot .82692 .39986 Mdot .61871 .06433 Mdot .94206 .38658 Mdot .9122 .10928 Mdot .65813 .10424 Mdot .80627 .44412 Mdot .63835 .38179 Mdot .77514 .17478 Mdot .52274 .34219 Mdot .84767 .12724 Mdot .91441 .41743 Mdot .64085 .31965 Mdot .58775 .0396 Mdot .52239 .27735 Mdot .6229 .15202 Mdot .58741 .19011 Mdot .94199 .06981 Mdot .75835 .24499 Mdot .8039 .18702 Mdot .96043 .09224 Mdot .78141 .34382 Mdot .61301 .464 Mdot .84422 .4254 Mdot .94938 .16638 Mdot .75672 .40783 Mdot .92725 .38803 Mdot .63407 .27785 Mdot .8401 .21996 Mdot .6693 .23007 Mdot .582 .47397 Mdot .84262 .06508 Mdot .59879 .40376 Mdot .56147 .22026 Mdot .963 .43876 Mdot .69447 .29386 Mdot .51387 .29441 Mdot .91496 .38503 Mdot .56383 .40538 Mdot .78115 .12922 Mdot .70095 .20745 Mdot .61211 .39815 Mdot .6192 .23248 Mdot .74671 .3551 Mdot .52067 .32773 Mdot .68549 .15688 Mdot .53489 .38797 Mdot .96825 .36202 Mdot .52127 .1156 Mdot .55354 .47599 Mdot .93466 .20922 Mdot .74961 .36881 Mdot .73396 .0238 Mdot .63776 .46966 Mdot .61501 .29032 Mdot .86827 .13659 Mdot .5946 .46159 Mdot .68303 .47871 Mdot .55997 .09565 Mdot .692 .13872 Mdot .53895 .47906 Mdot .63872 .16173 Mdot .58151 .29187 Mdot .86633 .29192 Mdot .82477 .2901 Mdot .72883 .32126 Mdot .71001 .49879 Mdot .83778 .20671 Mdot .61567 .05924 Mdot .65501 .227 Mdot .55596 .46258 Mdot .94022 .11031 Mdot .51727 .48252 Mdot .80176 .44758 Mdot .91298 .21269 Mdot .91265 .17769 Mdot .58846 .42158 Mdot .68407 .35543 Mdot .85567 .42179 Mdot .82351 .17076 Mdot .74025 .38459 Mdot .66876 .44275 Mdot .68454 .42101 Mdot .70575 .35448 Mdot .66753 .43749 Mdot .88121 .4059 Mdot .73177 .24683 Mdot .94579 .25024 Mdot .64357 .32425 Mdot MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 137.125}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol00cg_Ool00004Ool00`00Oomoo`0GOol00ekgOomoo`1JOol00cg_Oomoo`0>Ool00cg_ 00000004Ool00`00Oomoo`0GOol00ekgOomoo`0[Ool001ioo`8mkbAoo`06001oogoo?Nmoo`002Goo 00=NmgooOol06goo0Ukg>Goo00Ool00ekgOomoo`0dOol001eoo`03 ?Nmoogoo00Uoo`03?Nmoogoo00=oo`03?Nmoocg_01Moo`03001oogoo00Yoo`03G_Moogoo01Moo`03 G_Moogoo03Uoo`03?Nmoogoo00Uoo`03?Nmoogoo009oo`04?Nmoogoo?NlGOol00`00Oomoo`0:Ool0 0ekgOomoo`0FOol00ekgOomoo`0OOol001]oo`03?Nmoogoo00Moo`03?Nmoogoo00Qoo`03?Nmoogoo 00Yoo`03?Nmoogoo00Uoo`8001Ioo`05G_MoogooOomNm`0;Ool015kgOomNmekg0Woo00ENmgooOomo oekg02ioo`03?Nmoogoo00Ioo`03?Nmoogoo00Qoo`03?Nmoogoo00Yoo`03?Nmoogoo00Yoo`03001o ogoo01Eoo`05G_MoogooOomNm`0:Ool00ekgOomoo`02G_L2Ool01EkgOomoogooG_L05Goo000ZOol0 0cg_Oomoo`0;Ool00cg_Oomoo`0>Ool00`00Oomoo`0OOol00ekgOomoo`1;Ool00cg_Oomoo`0;Ool0 0cg_Oomoo`0>Ool00`00Oomoo`0OOol00ekgOomoo`0SOol002Ioo`03?Nmoogoo00Uoo`03?Nmoogoo 00Uoo`03?Nmoogoo00Aoo`8mk`9oo`03001oogoo01Qoo`03G_Moogoo00=oo`03G_Moogoo00ioo`03 G_Mooekg03Ioo`03?Nmoogoo00Yoo`03?Nmoogoo00Qoo`03?Nmoogoo00Eoo`8mk`9oo`03001oogoo 01Moo`03G_Moogoo00=oo`03G_Moogoo00ioo`04G_MoogooG_LCOol001=oo`03?Nmoogoo01Eoo`03 ?Nmoogoo01Aoo`03?Nmoogoo00Aoo`05001oogooOomNm`02Ool00ekgOomoo`1?Ool00cg_Oomoo`0D Ool00cg_Oomoo`0EOol00cg_Oomoo`04Ool01000Oomooekg0Woo00=NmgooOol0?goo000QOol00cg_ Oomoo`05Ool00cg_Oomoo`0?Ool00cg_Oomoo`0;Ool00`00Oomoo`0?Ool2G_L:Ool00ekgOomoo`0< Ool00ekgOomNm`02Ool00ekgOomoo`0aOol00cg_Oomoo`06Ool00cg_Oomoo`0>Ool00cg_Oomoo`0< Ool00`00Oomoo`0>Ool00ekgOomNm`0:Ool00ekgOomoo`0Goo00 Ool01EkgOomoogooG_L0DWoo00Ool01EkgOomoogooG_L097oo000aOol00cg_Oomoo`08Ool00cg_Oomoo`08Ool01Sg_ Ool00000OomNm`Eoo`03G_Moogoo00]oo`03G_Moogoo00Ioo`03G_Moogoo00Qoo`03G_Moogoo009o o`03G_Moogoo04Aoo`03?Nmoogoo00Qoo`03?Nmoogoo00Qoo`03?Nmoo`00009oo`03G_Moogoo009o o`03G_Moogoo00aoo`03G_Moogoo00Ioo`03G_Moogoo00Qoo`03G_Moogoo009oo`03G_Moogoo01Eo o`006goo00Ool3?Nl00`00OomNm`0=Ool00ekg Oomoo`07Ool00ekgOomoo`1NOol00cg_Oomoo`0;Ool01000Oolmkgoo0Sg_00<007ooG_L03Goo00=N mgooOol01Woo00=NmgooOol0;7oo000KOol01Cg_Oomoogoo?Nl057oo00Ool00cg_Oomoo`09Ool2000COol00ekgOomNm`04Ool00ekgOomoo`04Ool00ekg Oomoo`09Ool00ekgOomoo`0oOol00cg_Oomoo`0>Ool00cg_Oomoo`04Ool00`00Oomoo`03Ool00`00 Oomoo`0AOol015kgOomooekg17oo00=NmgooOol017oo00=NmgooOol027oo00=NmgooOol05goo000G Ool00cg_Oomoo`0AOol00cg_Oomoo`0IOol00cg_Ool0000dOol00ekgOomoo`0TOol2?NlCOol00cg_ Oomoo`0DOol20002Ool013g_Oomoo`00=7oo00=NmgooOol047oo000LOol01Cg_Oomoogoo?Nl08Woo 00Ool00`00Oomoo`06Ool2G_L5Ool300000gooG_Moo`0Ool500000goo?Nl0000=Ool500001Goo001oogoo00002goo00<007ooOol0 0goo00HmkgooOolmkgoo?Nl5Ool00ekgOomoo`0@Ool015kgOomoo`002goo00<007ooOol01goo00=N mgooOol01Woo00=NmgooOol06goo1@0000Eoocg_Oomoo`0000Uoo`D000=oo`03001oogoo00Moo`D0 009oo`03001oogoo009oo`03?Nmoogoo008mk`Ioo`03G_Moogoo00ioo`03001ooekg011oo`03001o ogoo00Eoo`03G_Moogoo00Eoo`04G_Moogoo000@Ool001=oo`03?Nmoo`0001=oo`04001oogoo0008 Ool30007Ool00cg_Oomoo`07Ool20004Ool00ekgOomoo`02Ool00ekgOomoo`05Ool01000Oomoo`00 27oo0`000Ukg1Woo00=NmgooOol027oo00<007ooOol08Goo00Moo`0000=oo`037>L007oo00Aoo`03001oogoo 009oo`03001oogoo009oo`03001oogoo00=oo`03000Ligoo009oo`03001oogoo00=oo`03001oogoo 009oo`03001oogoo009oo`8000=oo`8000Aoo`03001oogoo009oo`800005OomNmgooOol00004Ool2 0004Ool00`00Oomoo`03Ool00`00Oomoo`02Ool00`00Oomoo`02Ool00`00Oomoo`0OOol01@00Oomo ogoo00000goo00@001cWOol000=oo`05000LigooOol00002Ool01@00Oomoogoo00000Woo00D007oo Oomoo`0000=oo`04001ooacW0003Ool01@00Oomoogoo00000Woo00D007ooOomoo`00009oo`09001o o`00Ool007oo001oo`00009oo`05001oogooOol00002Ool200000ekgOol00003Ool01000Oomoo`00 0goo00D007ooOomoo`00009oo`05001oogooOol00002Ool01@00Oomoogoo00004Goo000TOol00acW Oomoo`0KOol00acWOomoo`04Ool2000>Ool00`00Oomoo`0KOol2000jOol00acWOomoo`0KOol00acW Oomoo`04Ool00`00Oomoo`0Moogoo00Eo o`037>Moogoo00Uoo`037>MooacW00=oo`037>Moogoo00=oo`037>Moogoo00Yoo`037>Moogoo00Eo o`03001oogoo01]oo`03001oogoo03Qoo`037>Moogoo00Ioo`037>Moogoo00Qoo`037>MooacW00=o o`037>Moogoo00Aoo`037>Moogoo00Yoo`037>Moogoo00Eoo`03001oogoo01]oo`03001oogoo02Mo o`00:Woo00DLigooOomooacW01Eoo`037>Moogoo009oo`03001oogoo00Aoo`04001oogoo000BOol0 0`00Oomoo`03Ool01000Oomoo`002goo00<007ooOol0>goo00DLigooOomooacW01Eoo`037>Moogoo 009oo`03001oogoo00=oo`05001oogooOol0000BOol00`00Oomoo`02Ool01@00Oomoogoo00002goo 00<007ooOol04goo0018Ool00acW001oo`05Ool00`00Oomoo`0KOol00`00Oomoo`0Moogoo00Uoo`047>Moogoo7>LTOol20003Ool00`00Oomoo`06Ool00`00Oomoo`0=Ool00`00Oomo o`06Ool00`00Oomoo`0Ool00`00Oomoo`06Ool00`00Oomoo`0Moogoo00]oo`037>Moogoo009oo`8Li`Uoo`047>Moogoo7>L7Ool00`00Oomo o`03Ool00`00Oomoo`04Ool00`00Oomoo`04Ool00`00Oomoo`0BOol01@00Oomoogoo0000=goo00Moogoo00]oo`037>Moogoo01Qoo`037>MooacW00=oo`03001oo`00029oo`8003Qoo`037>Moogoo 00aoo`037>Moogoo01Qoo`8Li`Aoo`8002=oo`80025oo`005Woo0QcWMoogoo00Yoo`047>Moogoo7>L2Ool0 0acWOomoo`0:Ool01@00Oomoogoo00000goo00<007ooOol07goo00D007ooOomoo`0003moo`037>Mo ogoo00]oo`047>Moogoo7>L2Ool00acWOomoo`0:Ool01000Oomoo`0017oo00<007ooOol07goo00D0 07ooOomoo`0001Uoo`005goo00MooacW00Uoo`037>Moogoo015oo`03 7>Moogoo00Eoo`037>Moogoo0080009oo`03001oogoo011oo`03001oogoo04=oo`047>MoogooOol2 7>L017oo7>MooacW2Goo00MooacW01Ioo`037>MooacW00eo o`03001oogoo01=oo`04001oogoo0004Ool00`00Oomoo`0COol00`00Oomoo`0ROol01AcWOomoogoo 7>L01goo00@LigooOolLiaIoo`8Li`ioo`03001oogoo019oo`05001oogooOol00004Ool00`00Oomo o`0COol00`00Oomoo`0AOol002ioo`037>Moogoo00=oo`037>Moogoo00=oo`037>Moogoo00aoo`03 001oogoo01Eoo`05001oo`00Ool0001FOol00acWOomoo`03Ool00acWOomoo`03Ool00acWOomoo`0= Ool00`00Oomoo`0DOol01P00Oomoo`00Ool002]oo`006Goo00Moogoo01=oo`037>Moogoo01Qo o`03001oogoo01]oo`03001oogoo00ioo`05001oogooOol0000DOol001Eoo`037>Moogoo00aoo`03 7>Moogoo00Moo`037>Moogoo00Uoo`037>Moogoo00aoo`04001oogoo0003Ool00`00Oomoo`03Ool2 0017oo000EOol00acWOomoo`03Ool011cWOomooacW4goo 00L057oo00L00Woo00goo00MoogooOol00004Ool00`00Oomoo`0AOol00`00Oomoo`0/Ool001=oo`057>MoogooOolL i`0@Ool00acWOomoo`03Ool00acWOomoo`05Ool00acWOomoo`0@Ool2000:Ool00`00Oomoo`0;Ool0 0`00Oomoo`0AOol00`00Oomoo`04Ool00`00Oomoo`0QOol01AcWOomoogoo7>L03goo00Moogoo015oo`037>Moogoo01Uo o`03001oogoo00=oo`04001oogoo0005Ool01000Oomoogoo0P000Woo00<007ooOol017oo00<007oo Ool00goo00<007ooOol09goo000POol00acWOomoo`0BOol011cWOomooacW37oo00DLigoo7>Moo`00 00Aoo`03001oogoo019oo`8000Qoo`03001oogoo00=oo`03001oogoo00=oo`03001oo`00039oo`03 7>Moogoo019oo`057>MoogooOolLi`0:Ool010007>MooacW0Woo00<007ooOol00Woo00<007ooOol0 4Woo0P0027oo00<007ooOol00goo00<007ooOol00goo00<007oo00005Goo000[Ool00acWOomoo`0K Ool2000@Ool00`00Oomoo`02Ool00`00Ool00002Ool20008Ool00`00Oomoo`18Ool00acWOomoo`0D Ool20005Ool00`00Oomoo`0?Ool00`00Oomoo`02Ool00`00Ool00002Ool00`00Oomoo`07Ool00`00 Oomoo`0OOol002]oo`037>Moogoo009oo`8Li`=oo`037>Moogoo00Ioo`8Li`03OolLigoo00Ioo`03 001oo`00009oo`03001oogoo00Moo`05001oogooOol0000BOol00`00Ool00018Ool00acWOomoo`02 Ool01AcWOomoogoo7>L027oo0QcW0Woo00L00Woo00L00Woo00L00000OolLi`02Ool00`007>Mo o`02Ool30003Ool00`00Oomoo`02Ool00`00Oomoo`0@Ool00`00Oomoo`0HOol00`00Oomoo`0^Ool2 7>LFOol00acWOomoo`02Ool01AcWOomoogoo7>L02Goo00<007ooOol00Woo00<007ooOol03goo00<0 07ooOol067oo00<007ooOol04goo000gOol01`00Oomoo`007>MooacW008000=oo`8Li`05Ool007oo Ool00009Ool00`00Oomoo`0AOol00`00Oomoo`1POol00acWOolLi`04Ool27>L5Ool00`00Oomoo`06 Ool00`00Oomoo`0BOol00`00Oomoo`0WOol0029oo`037>Moogoo015oo`057>L007ooOol0000;Ool0 0`00Oomoo`02000QOol00`00Oomoo`02Ool00`00Oomoo`0lOol00acWOomoo`0BOol00acWOomoo`0@ Ool00`00Oomoo`0OOol00`00Oomoo`03Ool00`00Oomoo`0MOol001]oo`037>Moogoo00=oo`037>Mo ogoo00]oo`037>MooacW00Eoo`05001oogoo000Li`07Ool30003Ool00`00Oomoo`0AOol00`00Oomo o`0;Ool00`00Oomoo`0lOol00acWOomoo`02Ool00acWOomoo`0;Ool00acWOolLi`0:Ool00acWOomo o`0;Ool00`00Oomoo`0AOol00`00Oomoo`0;Ool00`00Oomoo`0SOol001=oo`037>MooacW025oo`05 001oogoo000Li`07Ool00`00Oomoo`03Ool00`00Oomoo`05Ool00`00Oomoo`0YOol00`00Oomoo`0R Ool00acWOolLi`0TOol00acWOomoo`0Moogoo00Aoo`037>Moogoo00Eoo`037>Moogoo00Yoo`037>Moogoo00=oo`03000L igoo00Qoo`@0009oo`03001oogoo00aoo`03001oogoo00Yoo`03001oogoo03eoo`037>Moogoo00Ao o`037>Moogoo00Aoo`037>Moogoo00]oo`037>Moogoo00Aoo`037>Moogoo00eoo`03001oogoo00ao o`03001oogoo00Uoo`03001oogoo02Yoo`0097oo00Moogoo01moo`057>MoogooOol00007 Ool00`00Oomoo`07Ool00`00Oomoo`0@Ool00`00Oomoo`0POol001Ioo`037>Moogoo01Yoo`8Li`Io o`037>Moogoo00Ioo`057>Moogoo7>Moo`02000UOol200000goo001oo`0_Ool00acWOomoo`0JOol0 0acWOolLi`06Ool00acWOomoo`06Ool01QcWOomooacWOol002Ioo`<001ioo`008Woo00Moogoo01Moo`037>Moogoo00Yoo`03001oogoo00Aoo`03001oogoo008000moo`03001oo`00 00Eoo`03001oo`00029oo`005Goo00Moogoo01Moo`037>Moogoo011oo`@000047>Moogoo000=Ool00`00Oomoo`0g Ool002Aoo`037>Moogoo00moo`037>Moogoo011oo`03001oogoo00Yoo`03001oogoo05Yoo`037>Mo ogoo00moo`037>Moogoo00Yoo`03001oogoo00=oo`03001oogoo00Uoo`03001oogoo03Uoo`0057oo 00@LigooOolLia1oo`037>Moogoo01Moo`8Li`Eoo`03001oogoo05Moo`047>Moogoo7>L?Ool00acW Oomoo`0HOol00acWOol00004Ool00`00Oomoo`15Ool001Ioo`037>Moogoo01=oo`037>Moogoo00Io o`037>Moogoo00eoo`047>MoogooOol2001JOol00acWOomoo`0BOol00acWOomoo`06Ool00acWOomo o`0=Ool00acW001oo`02Ool00`00Oomoo`15Ool001Qoo`057>MoogooOolLi`0:Ool27>L@Ool27>L0 0goo7>Moo`0:Ool00acW001oo`09Ool00`00Oomoo`03Ool00`00Oomoo`0=Ool00`00Ool00002Ool0 0`00Oomoo`0eOol01AcWOomoogoo7>L02Woo00L007oo00Qoo`03001oogoo00=oo`03001oogoo00ioo`03001oo`00009oo`03001o ogoo01moo`00:7oo00@LigooOolLi`Ioo`037>Moogoo00Yoo`037>Moogoo00Eoo`037>Moo`0000ao o`03001oogoo00Uoo`03001oogoo059oo`047>Moogoo7>L5Ool00acWOomoo`0;Ool011cWOomoogoo 0P000Woo00L00goo00Ool00acWOomoo`04Ool00acWOomoo`0;Ool00`00Oomoo`0MOol01000Oomoo`002Woo00<007oo Ool0>7oo00Moogoo00Moo`077>Moogoo OolLigoo7>L087oo0P0017oo00<007oo00007goo00<007ooOol02goo00<007ooOol09Goo00Moogoo01ioo`03001oogoo00=oo`80021oo`03001oogoo00Yo o`03001oogoo011oo`004goo00Moogoo00ioo`8Li`Aoo`03001oogoo00Aoo`03001oogoo01Qo o`03001oogoo00Ioo`03001oogoo02eoo`037>Moogoo00eoo`047>Moogoo7>L8Ool00acWOomoo`0? Ool27>L4Ool00`00Oomoo`04Ool00`00Oomoo`0GOol00`00Oomoo`07Ool00`00Oomoo`0JOol002=o o`037>Moogoo00Aoo`037>Moogoo01aoo`03001oogoo00eoo`03001oogoo05Ioo`037>Moogoo00Ao o`037>Moogoo01aoo`03001oogoo00eoo`03001oogoo03Eoo`00=Woo00goo001;Ool3002BOol3000mOol00?moob5oo`00ogoo 8Goo003oOolQOol00?moob5oo`00\ \>"], ImageRangeCache->{{{0, 287}, {136.125, 0}} -> {-0.0538113, -0.023806, 0.00734364, 0.00734364}, {{7.3125, 137}, {132.875, 3.1875}} -> {-1.35611, -1.14271, 0.0184113, 0.0184113}, {{149.938, 279.625}, {132.875, 3.1875}} -> {-11.9461, -3.42813, 0.0552341, 0.0552341}}] }, Open ]], Cell["\<\ Note the change in the scale on the axes, illustrating the effect \ of the transformation.\ \>", "Text", TextAlignment->Left, TextJustification->1], Cell["Now, we apply T4 to these points:", "Text"], Cell["T4quad[n_] := trans[T4, quad[n]]; ", "Input"], Cell["T4quadPlot[n_] := drawPoints[T4quad[n], (n - 1)/4, 0.015]; ", "Input"], Cell[TextData[ "imageT4 = Show[{Table[T4quadPlot[n], {n, 4}]}, \n PlotLabel -> \ \"T4[\\!\\(TraditionalForm\\`\[DoubleStruckCapitalR]\\^2\\)]\"]; "], "Input"], Cell[CellGroupData[{ Cell["\<\ Show[GraphicsArray[{domain, imageT4}], DisplayFunction -> \ $DisplayFunction]; \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .47675 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 0.0113511 0.47619 [ [ 0 0 0 0 ] [ 1 .47675 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .47675 L 0 .47675 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0113511 0.477324 0.465396 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.497944 0.478688 0.500946 0.478688 [ [.01926 .48845 -6 -9 ] [.01926 .48845 6 0 ] [.2586 .48845 -12 -9 ] [.2586 .48845 12 0 ] [.73729 .48845 -9 -9 ] [.73729 .48845 9 0 ] [.97663 .48845 -3 -9 ] [.97663 .48845 3 0 ] [.48544 .02226 -12 -4.5 ] [.48544 .02226 0 4.5 ] [.48544 .2616 -24 -4.5 ] [.48544 .2616 0 4.5 ] [.48544 .74029 -18 -4.5 ] [.48544 .74029 0 4.5 ] [.48544 .97963 -6 -4.5 ] [.48544 .97963 0 4.5 ] [.5 1.01367 -8.0625 0 ] [.5 1.01367 8.0625 12.4375 ] [ 0 0 0 0 ] [ 1 1.00117 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .01926 .50095 m .01926 .5072 L s [(-1)] .01926 .48845 0 1 Mshowa .2586 .50095 m .2586 .5072 L s [(-0.5)] .2586 .48845 0 1 Mshowa .73729 .50095 m .73729 .5072 L s [(0.5)] .73729 .48845 0 1 Mshowa .97663 .50095 m .97663 .5072 L s [(1)] .97663 .48845 0 1 Mshowa .125 Mabswid .06712 .50095 m .06712 .5047 L s .11499 .50095 m .11499 .5047 L s .16286 .50095 m .16286 .5047 L s .21073 .50095 m .21073 .5047 L s .30647 .50095 m .30647 .5047 L s .35434 .50095 m .35434 .5047 L s .40221 .50095 m .40221 .5047 L s .45007 .50095 m .45007 .5047 L s .54581 .50095 m .54581 .5047 L s .59368 .50095 m .59368 .5047 L s .64155 .50095 m .64155 .5047 L s .68942 .50095 m .68942 .5047 L s .78516 .50095 m .78516 .5047 L s .83303 .50095 m .83303 .5047 L s .88089 .50095 m .88089 .5047 L s .92876 .50095 m .92876 .5047 L s .25 Mabswid 0 .50095 m 1 .50095 L s .49794 .02226 m .50419 .02226 L s [(-1)] .48544 .02226 1 0 Mshowa .49794 .2616 m .50419 .2616 L s [(-0.5)] .48544 .2616 1 0 Mshowa .49794 .74029 m .50419 .74029 L s [(0.5)] .48544 .74029 1 0 Mshowa .49794 .97963 m .50419 .97963 L s [(1)] .48544 .97963 1 0 Mshowa .125 Mabswid .49794 .07013 m .50169 .07013 L s .49794 .118 m .50169 .118 L s .49794 .16586 m .50169 .16586 L s .49794 .21373 m .50169 .21373 L s .49794 .30947 m .50169 .30947 L s .49794 .35734 m .50169 .35734 L s .49794 .40521 m .50169 .40521 L s .49794 .45308 m .50169 .45308 L s .49794 .54881 m .50169 .54881 L s .49794 .59668 m .50169 .59668 L s .49794 .64455 m .50169 .64455 L s .49794 .69242 m .50169 .69242 L s .49794 .78816 m .50169 .78816 L s .49794 .83603 m .50169 .83603 L s .49794 .8839 m .50169 .8839 L s .49794 .93176 m .50169 .93176 L s .25 Mabswid .49794 0 m .49794 1.00117 L s gsave .5 1.01367 -69.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 69.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show 75.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Courier grestore 0 0 m 1 0 L 1 1.00117 L 0 1.00117 L closepath clip newpath .015 w .59239 .57187 Mdot .55484 .89069 Mdot .94224 .7533 Mdot .61435 .65785 Mdot .91414 .84265 Mdot .97515 .69075 Mdot .68358 .6246 Mdot .50217 .91293 Mdot .94913 .72129 Mdot .77006 .78855 Mdot .83974 .7322 Mdot .81861 .67127 Mdot .7453 .66128 Mdot .76172 .76021 Mdot .77969 .88762 Mdot .64531 .60331 Mdot .84218 .54591 Mdot .64679 .8922 Mdot .65655 .90094 Mdot .64257 .9589 Mdot .68405 .6806 Mdot .84914 .6713 Mdot .82093 .92803 Mdot .52847 .50098 Mdot .57358 .7677 Mdot .74339 .7204 Mdot .77052 .85972 Mdot .59602 .61804 Mdot .90497 .81475 Mdot .92585 .70547 Mdot .74637 .89344 Mdot .78123 .7262 Mdot .56027 .71379 Mdot .90872 .55584 Mdot .71597 .7654 Mdot .87819 .55581 Mdot .64033 .97733 Mdot .63275 .81504 Mdot .84644 .61856 Mdot .53468 .69795 Mdot .9181 .78344 Mdot .58546 .97211 Mdot .66968 .86963 Mdot .78086 .74686 Mdot .60735 .65679 Mdot .84877 .69196 Mdot .86802 .87102 Mdot .94721 .63709 Mdot .72563 .87333 Mdot .8124 .80169 Mdot .85582 .75571 Mdot .77566 .60469 Mdot .91435 .9519 Mdot .68815 .61221 Mdot .74261 .58321 Mdot .88392 .84499 Mdot .6332 .90606 Mdot .5331 .65397 Mdot .74181 .53598 Mdot .56252 .51782 Mdot .51412 .64229 Mdot .72676 .69577 Mdot .63494 .86622 Mdot .92773 .59203 Mdot .69722 .89395 Mdot .73752 .95946 Mdot .93124 .81168 Mdot .83023 .61542 Mdot .79599 .88526 Mdot .79508 .94108 Mdot .55212 .85022 Mdot .7305 .9242 Mdot .53594 .70887 Mdot .50169 .72937 Mdot .87763 .82229 Mdot .5506 .63829 Mdot .67836 .90797 Mdot .78971 .65847 Mdot .72374 .59723 Mdot .93611 .544 Mdot .90439 .69161 Mdot .63897 .58255 Mdot .85021 .82103 Mdot .88509 .63799 Mdot .81222 .6131 Mdot .88134 .88825 Mdot .91121 .77045 Mdot .82869 .75091 Mdot .7308 .84211 Mdot .53692 .59339 Mdot .505 .74583 Mdot .57745 .55034 Mdot .57724 .55516 Mdot .91511 .94742 Mdot .70366 .71377 Mdot .52796 .81037 Mdot .86808 .60161 Mdot .62325 .90176 Mdot .9335 .8108 Mdot .77119 .6518 Mdot .70064 .94832 Mdot .73221 .55936 Mdot .69358 .70344 Mdot .65271 .50997 Mdot .61428 .64923 Mdot .71423 .54218 Mdot .88725 .91509 Mdot .68421 .71144 Mdot .51711 .81442 Mdot .55891 .78932 Mdot .56025 .50457 Mdot .76435 .63847 Mdot .83624 .53589 Mdot .53008 .58006 Mdot .6406 .81208 Mdot .85401 .57104 Mdot .52426 .6638 Mdot .63772 .5298 Mdot .61365 .72834 Mdot .93014 .79799 Mdot .59448 .89355 Mdot .86918 .50962 Mdot .53217 .88993 Mdot .60277 .85078 Mdot .67256 .85499 Mdot .57063 .77166 Mdot .5299 .54385 Mdot .69326 .70157 Mdot .50358 .85968 Mdot .55348 .67271 Mdot .86657 .63228 Mdot .59996 .85436 Mdot .77003 .71836 Mdot .70742 .84569 Mdot .73581 .80807 Mdot .60259 .97454 Mdot .56119 .93272 Mdot .5299 .70382 Mdot .52923 .88981 Mdot .81327 .5032 Mdot .52359 .53108 Mdot .75774 .81012 Mdot .63366 .87843 Mdot .65572 .9354 Mdot .84026 .66101 Mdot .92493 .59066 Mdot .6024 .83257 Mdot .82029 .59575 Mdot .53915 .87949 Mdot .78834 .87156 Mdot .50786 .96931 Mdot .9517 .8693 Mdot .9609 .93917 Mdot .69191 .56013 Mdot .82519 .56169 Mdot .53413 .60437 Mdot .96156 .88032 Mdot .58583 .51466 Mdot .85711 .54869 Mdot .74217 .89855 Mdot .8159 .64884 Mdot .93046 .52793 Mdot .80598 .65917 Mdot .95539 .63826 Mdot .82171 .69963 Mdot .76143 .57908 Mdot .97315 .63888 Mdot .72524 .95434 Mdot .50954 .7382 Mdot .63736 .94063 Mdot .62906 .69045 Mdot .87182 .54303 Mdot .78979 .54255 Mdot .918 .51604 Mdot .96044 .86302 Mdot .93924 .85741 Mdot .63667 .66433 Mdot .67576 .77928 Mdot .64015 .5264 Mdot .92715 .80458 Mdot .62855 .76783 Mdot .78773 .84358 Mdot .97613 .57833 Mdot .89254 .8015 Mdot .68429 .53672 Mdot .95117 .78641 Mdot .70048 .65334 Mdot .50988 .90863 Mdot .56176 .96864 Mdot .81075 .63029 Mdot .89824 .94318 Mdot .86023 .80535 Mdot .76763 .6763 Mdot .57044 .9414 Mdot .76813 .59891 Mdot .65453 .64085 Mdot .58179 .56314 Mdot .67999 .83407 Mdot .85794 .88943 Mdot .66806 .90508 Mdot .25 g .20176 .90043 Mdot .16195 .77574 Mdot .12337 .93688 Mdot .04555 .95002 Mdot .39306 .76153 Mdot .11805 .50957 Mdot .18456 .66357 Mdot .27464 .84835 Mdot .26841 .60137 Mdot .45669 .51523 Mdot .14972 .69157 Mdot .14812 .58978 Mdot .4459 .77078 Mdot .48411 .79368 Mdot .34179 .81353 Mdot .45781 .82329 Mdot .44668 .55294 Mdot .35902 .81467 Mdot .28137 .86901 Mdot .10363 .94595 Mdot .03223 .76858 Mdot .14488 .93167 Mdot .38045 .57795 Mdot .49471 .84283 Mdot .4325 .78681 Mdot .02986 .5501 Mdot .10996 .95292 Mdot .06999 .70644 Mdot .16123 .90092 Mdot .20891 .8714 Mdot .3778 .53286 Mdot .12454 .90508 Mdot .36483 .74391 Mdot .4776 .95304 Mdot .48232 .66691 Mdot .48083 .61116 Mdot .06908 .85973 Mdot .47023 .562 Mdot .45706 .88645 Mdot .4195 .8352 Mdot .31509 .96516 Mdot .22984 .94343 Mdot .43524 .93325 Mdot .12456 .53929 Mdot .08966 .69028 Mdot .1449 .56588 Mdot .10529 .52432 Mdot .16201 .93436 Mdot .05546 .64422 Mdot .18973 .87331 Mdot .09634 .73741 Mdot .26817 .53906 Mdot .2792 .75188 Mdot .05759 .57526 Mdot .3419 .79826 Mdot .43098 .53691 Mdot .2715 .60893 Mdot .30533 .95066 Mdot .18547 .58555 Mdot .16257 .51725 Mdot .14926 .92096 Mdot .47079 .62358 Mdot .07218 .6845 Mdot .22187 .58547 Mdot .29093 .91226 Mdot .18354 .51115 Mdot .44697 .61494 Mdot .25051 .95387 Mdot .19473 .50696 Mdot .44312 .50415 Mdot .02851 .90104 Mdot .2998 .96654 Mdot .37719 .95971 Mdot .32696 .84391 Mdot .32427 .77615 Mdot .12435 .75939 Mdot .0526 .84353 Mdot .43875 .74918 Mdot .10357 .72954 Mdot .2075 .77495 Mdot .40679 .72353 Mdot .26233 .77174 Mdot .39753 .80212 Mdot .46047 .78483 Mdot .03959 .82205 Mdot .15276 .92056 Mdot .21327 .54684 Mdot .04767 .66212 Mdot .17992 .68294 Mdot .10686 .89257 Mdot .09561 .93304 Mdot .39731 .61857 Mdot .18676 .71046 Mdot .15424 .82647 Mdot .28717 .88797 Mdot .19171 .54258 Mdot .26684 .56687 Mdot .05821 .60165 Mdot .07283 .52097 Mdot .02979 .91917 Mdot .39085 .81767 Mdot .42087 .52755 Mdot .31449 .86426 Mdot .04282 .88861 Mdot .14699 .65475 Mdot .38653 .56309 Mdot .35776 .74642 Mdot .21407 .52146 Mdot .11018 .6805 Mdot .17512 .89944 Mdot .05661 .66047 Mdot .16459 .95991 Mdot .16371 .82244 Mdot .24166 .93331 Mdot .34716 .93781 Mdot .2181 .54564 Mdot .21942 .784 Mdot .32951 .96219 Mdot .35961 .53853 Mdot .1347 .94167 Mdot .26869 .83766 Mdot .45752 .54318 Mdot .23133 .67814 Mdot .31219 .56291 Mdot .08688 .83533 Mdot .08979 .60923 Mdot .23767 .87716 Mdot .36964 .56454 Mdot .0375 .59411 Mdot .05938 .58198 Mdot .17583 .55653 Mdot .42263 .61994 Mdot .40509 .6985 Mdot .46305 .57771 Mdot .19301 .52131 Mdot .17011 .51575 Mdot .12539 .66561 Mdot .09958 .88615 Mdot .38566 .76809 Mdot .22788 .82256 Mdot .36742 .67493 Mdot .18776 .74153 Mdot .21084 .61935 Mdot .26307 .62253 Mdot .3037 .90048 Mdot .29797 .54576 Mdot .12994 .88012 Mdot .14712 .53095 Mdot .02381 .71545 Mdot .0668 .62444 Mdot .13609 .927 Mdot .33686 .78151 Mdot .26661 .75302 Mdot .16836 .54093 Mdot .07502 .63462 Mdot .40323 .89803 Mdot .26927 .71378 Mdot .12452 .85322 Mdot .15858 .81329 Mdot .47534 .82321 Mdot .15403 .59879 Mdot .4278 .69972 Mdot .0372 .65142 Mdot .1102 .89785 Mdot .26853 .87803 Mdot .43978 .85787 Mdot .21276 .74436 Mdot .05581 .93947 Mdot .44144 .53153 Mdot .42923 .58719 Mdot .30211 .69787 Mdot .45183 .74362 Mdot .16734 .60003 Mdot .04329 .54484 Mdot .1494 .92824 Mdot .43103 .62663 Mdot .37881 .55116 Mdot .4892 .74839 Mdot .18531 .78644 Mdot .45264 .78856 Mdot .24181 .75585 Mdot .04266 .70231 Mdot .43764 .55893 Mdot .08877 .93832 Mdot .28956 .93854 Mdot .06474 .89443 Mdot .15942 .51124 Mdot .13165 .76875 Mdot .27854 .93972 Mdot .1404 .5213 Mdot .11249 .65423 Mdot .1857 .71238 Mdot .36862 .87801 Mdot .16229 .51102 Mdot .42893 .82002 Mdot .09277 .55233 Mdot .15862 .86112 Mdot .04729 .63753 Mdot .49715 .85082 Mdot .41358 .84842 Mdot .5 g .23786 .11115 Mdot .29244 .17383 Mdot .14463 .26443 Mdot .12599 .38527 Mdot .27394 .16281 Mdot .46165 .39534 Mdot .34296 .48188 Mdot .38813 .44672 Mdot .2036 .36336 Mdot .3601 .10462 Mdot .20439 .23455 Mdot .44446 .45209 Mdot .46447 .14566 Mdot .17128 .30051 Mdot .3391 .38217 Mdot .06454 .41619 Mdot .08441 .24162 Mdot .10084 .04311 Mdot .23939 .26069 Mdot .21066 .09734 Mdot .05505 .39827 Mdot .3485 .49367 Mdot .34861 .18598 Mdot .40199 .06384 Mdot .38208 .06259 Mdot .24997 .26428 Mdot .06224 .18136 Mdot .20468 .34903 Mdot .47577 .44069 Mdot .1231 .32818 Mdot .25564 .20226 Mdot .41039 .25311 Mdot .21984 .30493 Mdot .08114 .26038 Mdot .36918 .14121 Mdot .17709 .2188 Mdot .48504 .10088 Mdot .42507 .45547 Mdot .44205 .42046 Mdot .23964 .12869 Mdot .46423 .48072 Mdot .1358 .30146 Mdot .22785 .30072 Mdot .22336 .07061 Mdot .02726 .49673 Mdot .16147 .31117 Mdot .15603 .37778 Mdot .48233 .11463 Mdot .16894 .29916 Mdot .07652 .16011 Mdot .22483 .37964 Mdot .33482 .05367 Mdot .25855 .39987 Mdot .21828 .25316 Mdot .04996 .12141 Mdot .49287 .20481 Mdot .04195 .12562 Mdot .35065 .39459 Mdot .38387 .24878 Mdot .36626 .30222 Mdot .23418 .45057 Mdot .309 .16437 Mdot .02861 .09318 Mdot .47213 .13295 Mdot .26801 .19426 Mdot .2731 .38074 Mdot .23731 .09512 Mdot .27818 .19819 Mdot .21461 .47044 Mdot .42548 .30455 Mdot .32869 .24392 Mdot .07847 .02459 Mdot .11376 .2943 Mdot .26741 .36117 Mdot .10441 .22337 Mdot .29323 .25047 Mdot .33434 .05137 Mdot .03938 .37068 Mdot .11629 .4572 Mdot .25914 .19475 Mdot .39962 .4877 Mdot .33161 .39115 Mdot .09019 .26604 Mdot .27239 .38882 Mdot .47437 .47268 Mdot .02424 .04991 Mdot .38922 .27157 Mdot .22896 .30039 Mdot .07414 .24246 Mdot .20884 .43065 Mdot .45579 .2862 Mdot .44764 .25816 Mdot .07543 .29945 Mdot .13529 .36796 Mdot .48318 .05568 Mdot .36084 .48008 Mdot .02806 .08394 Mdot .35586 .45243 Mdot .13678 .31332 Mdot .14616 .1743 Mdot .0819 .09312 Mdot .43526 .2446 Mdot .12405 .30786 Mdot .48556 .48738 Mdot .06788 .03067 Mdot .36953 .14168 Mdot .08264 .47594 Mdot .02794 .16254 Mdot .07384 .41426 Mdot .17003 .21106 Mdot .435 .1232 Mdot .04313 .05901 Mdot .37236 .05234 Mdot .10581 .31536 Mdot .26757 .24542 Mdot .11819 .32893 Mdot .21895 .237 Mdot .24661 .20951 Mdot .15556 .26201 Mdot .23792 .06922 Mdot .10098 .34869 Mdot .08715 .35911 Mdot .16392 .24775 Mdot .06327 .32236 Mdot .2895 .21767 Mdot .45541 .02925 Mdot .04119 .4732 Mdot .35647 .20127 Mdot .32018 .25846 Mdot .12912 .49271 Mdot .18388 .4974 Mdot .38915 .44575 Mdot .10216 .17097 Mdot .32126 .1089 Mdot .43618 .42416 Mdot .27724 .28749 Mdot .16594 .22875 Mdot .31978 .28049 Mdot .14401 .25649 Mdot .46125 .10148 Mdot .32177 .49898 Mdot .35138 .10971 Mdot .15714 .02384 Mdot .46018 .16491 Mdot .07424 .35382 Mdot .15817 .07827 Mdot .136 .4306 Mdot .37888 .29173 Mdot .468 .22411 Mdot .07836 .03349 Mdot .34325 .46857 Mdot .11505 .43296 Mdot .04074 .47054 Mdot .26162 .34551 Mdot .38154 .46896 Mdot .29939 .20287 Mdot .32656 .1374 Mdot .16047 .14686 Mdot .20982 .20775 Mdot .27953 .35608 Mdot .23976 .48458 Mdot .22043 .34484 Mdot .39446 .03827 Mdot .12464 .41283 Mdot .37297 .06867 Mdot .36096 .08957 Mdot .48938 .10066 Mdot .08083 .38765 Mdot .18207 .4642 Mdot .41831 .26305 Mdot .47019 .27872 Mdot .15803 .40791 Mdot .24969 .29509 Mdot .43554 .08533 Mdot .35317 .27908 Mdot .33016 .17345 Mdot .47814 .23266 Mdot .46714 .10614 Mdot .48671 .15426 Mdot .40556 .21943 Mdot .32389 .19101 Mdot .4852 .45733 Mdot .35164 .41324 Mdot .34643 .07167 Mdot .12121 .14041 Mdot .40883 .48729 Mdot .26599 .36228 Mdot .09793 .3361 Mdot .28579 .15187 Mdot .12873 .25222 Mdot .29702 .49855 Mdot .22111 .05505 Mdot .47107 .32981 Mdot .23386 .09867 Mdot .13869 .41752 Mdot .38537 .04925 Mdot .03673 .29937 Mdot .47449 .06291 Mdot .26869 .43803 Mdot .39581 .22775 Mdot .75 g .51505 .30842 Mdot .70955 .47648 Mdot .79282 .31081 Mdot .91141 .44369 Mdot .76595 .48195 Mdot .64732 .36728 Mdot .88538 .08669 Mdot .53475 .34028 Mdot .90285 .28827 Mdot .5113 .29963 Mdot .67359 .35118 Mdot .88785 .09414 Mdot .65649 .06502 Mdot .67625 .1186 Mdot .8403 .25516 Mdot .74147 .17586 Mdot .5723 .27415 Mdot .59209 .30953 Mdot .66355 .20972 Mdot .55528 .47019 Mdot .73733 .42239 Mdot .54192 .19282 Mdot .56169 .09347 Mdot .6307 .12094 Mdot .88183 .0507 Mdot .93108 .0246 Mdot .53948 .29649 Mdot .68756 .34968 Mdot .94381 .04459 Mdot .59342 .0624 Mdot .7782 .33582 Mdot .53609 .09316 Mdot .53881 .41437 Mdot .9708 .40128 Mdot .95376 .34316 Mdot .83804 .3026 Mdot .56987 .31472 Mdot .88359 .30026 Mdot .52833 .04049 Mdot .69397 .45153 Mdot .56115 .49684 Mdot .5985 .41138 Mdot .75958 .18328 Mdot .56035 .34049 Mdot .71872 .26985 Mdot .56619 .44015 Mdot .74159 .42763 Mdot .70478 .15981 Mdot .66967 .13517 Mdot .79782 .3605 Mdot .63928 .11694 Mdot .60179 .40991 Mdot .57607 .12105 Mdot .50124 .49948 Mdot .79312 .43871 Mdot .91752 .18125 Mdot .57234 .19112 Mdot .84928 .24204 Mdot .80738 .26444 Mdot .64244 .10449 Mdot .63566 .15153 Mdot .82125 .24494 Mdot .97301 .05684 Mdot .7174 .33597 Mdot .89489 .43675 Mdot .7141 .33744 Mdot .59971 .49898 Mdot .77322 .17845 Mdot .52531 .33011 Mdot .90057 .43735 Mdot .69456 .08794 Mdot .75608 .35512 Mdot .55685 .43736 Mdot .91145 .13244 Mdot .56047 .40277 Mdot .692 .29741 Mdot .64221 .46697 Mdot .95452 .46092 Mdot .54044 .46894 Mdot .67925 .30472 Mdot .51307 .16108 Mdot .75531 .36832 Mdot .79514 .09541 Mdot .97586 .03545 Mdot .73624 .15899 Mdot .56235 .40396 Mdot .67371 .25717 Mdot .84699 .1288 Mdot .52944 .29114 Mdot .8691 .16883 Mdot .96563 .32315 Mdot .68779 .36506 Mdot .9505 .18432 Mdot .90911 .49769 Mdot .6533 .11118 Mdot .90988 .48449 Mdot .89369 .45313 Mdot .84547 .10279 Mdot .71792 .21822 Mdot .97511 .47493 Mdot .68642 .42802 Mdot .60396 .32836 Mdot .69742 .12713 Mdot .8928 .46425 Mdot .72355 .44375 Mdot .96032 .46751 Mdot .5682 .35483 Mdot .54839 .48396 Mdot .65113 .40265 Mdot .67955 .40343 Mdot .90984 .20669 Mdot .68107 .42944 Mdot .72136 .27962 Mdot .57505 .12334 Mdot .52188 .17475 Mdot .65888 .16004 Mdot .77495 .23195 Mdot .67519 .19348 Mdot .7047 .37806 Mdot .62474 .21046 Mdot .55151 .47635 Mdot .92183 .30798 Mdot .61831 .29192 Mdot .7387 .37948 Mdot .87358 .03456 Mdot .6616 .2784 Mdot .84965 .36075 Mdot .50066 .14062 Mdot .57264 .15106 Mdot .80211 .4481 Mdot .84456 .27395 Mdot .6753 .25989 Mdot .79099 .29855 Mdot .73011 .45286 Mdot .67063 .02889 Mdot .96804 .09564 Mdot .77368 .49528 Mdot .80438 .31818 Mdot .90066 .15678 Mdot .80166 .19982 Mdot .82597 .02798 Mdot .97619 .25267 Mdot .95804 .25497 Mdot .79883 .49372 Mdot .66499 .45737 Mdot .56667 .06311 Mdot .97099 .45075 Mdot .57526 .46842 Mdot .69526 .45642 Mdot .74751 .1725 Mdot .77122 .32189 Mdot .92248 .47363 Mdot .92188 .31617 Mdot .92292 .24322 Mdot .94047 .08346 Mdot .62203 .25045 Mdot .77342 .12703 Mdot .55331 .2096 Mdot .77906 .17723 Mdot .95468 .24212 Mdot .58175 .22176 Mdot .70512 .09187 Mdot .78716 .40082 Mdot .75927 .11919 Mdot .8419 .10691 Mdot .81299 .37691 Mdot .87806 .04571 Mdot .6889 .14872 Mdot .60258 .41962 Mdot .63354 .44007 Mdot .80015 .26465 Mdot .65549 .22021 Mdot .71635 .06515 Mdot .927 .15059 Mdot .90582 .16528 Mdot .66568 .05366 Mdot .56186 .08063 Mdot .82932 .1777 Mdot .66043 .05718 Mdot .63836 .05124 Mdot .55579 .13851 Mdot .50277 .11212 Mdot .73227 .3748 Mdot .82392 .39285 Mdot .51387 .33191 Mdot .87355 .26452 Mdot .58468 .1889 Mdot .70581 .23311 Mdot .52076 .13052 Mdot .85313 .07767 Mdot .83696 .0956 Mdot .71271 .04869 Mdot .77912 .45804 Mdot .70788 .43752 Mdot .54479 .1055 Mdot .86059 .06693 Mdot .52886 .27453 Mdot .96368 .30335 Mdot .92082 .1079 Mdot .75581 .0925 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.522676 0.0113511 0.97619 0.465396 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.499639 0.478129 0.497362 0.478129 [ [.02151 .48486 -6 -9 ] [.02151 .48486 6 0 ] [.26057 .48486 -12 -9 ] [.26057 .48486 12 0 ] [.7387 .48486 -9 -9 ] [.7387 .48486 9 0 ] [.97777 .48486 -3 -9 ] [.97777 .48486 3 0 ] [.48714 .01923 -12 -4.5 ] [.48714 .01923 0 4.5 ] [.48714 .2583 -24 -4.5 ] [.48714 .2583 0 4.5 ] [.48714 .73643 -18 -4.5 ] [.48714 .73643 0 4.5 ] [.48714 .97549 -6 -4.5 ] [.48714 .97549 0 4.5 ] [.5 1.01133 -20.0625 0 ] [.5 1.01133 20.0625 12.4375 ] [ 0 0 0 0 ] [ 1 .99883 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02151 .49736 m .02151 .50361 L s [(-1)] .02151 .48486 0 1 Mshowa .26057 .49736 m .26057 .50361 L s [(-0.5)] .26057 .48486 0 1 Mshowa .7387 .49736 m .7387 .50361 L s [(0.5)] .7387 .48486 0 1 Mshowa .97777 .49736 m .97777 .50361 L s [(1)] .97777 .48486 0 1 Mshowa .125 Mabswid .06932 .49736 m .06932 .50111 L s .11714 .49736 m .11714 .50111 L s .16495 .49736 m .16495 .50111 L s .21276 .49736 m .21276 .50111 L s .30839 .49736 m .30839 .50111 L s .3562 .49736 m .3562 .50111 L s .40401 .49736 m .40401 .50111 L s .45183 .49736 m .45183 .50111 L s .54745 .49736 m .54745 .50111 L s .59526 .49736 m .59526 .50111 L s .64308 .49736 m .64308 .50111 L s .69089 .49736 m .69089 .50111 L s .78652 .49736 m .78652 .50111 L s .83433 .49736 m .83433 .50111 L s .88214 .49736 m .88214 .50111 L s .92995 .49736 m .92995 .50111 L s .25 Mabswid 0 .49736 m 1 .49736 L s .49964 .01923 m .50589 .01923 L s [(-1)] .48714 .01923 1 0 Mshowa .49964 .2583 m .50589 .2583 L s [(-0.5)] .48714 .2583 1 0 Mshowa .49964 .73643 m .50589 .73643 L s [(0.5)] .48714 .73643 1 0 Mshowa .49964 .97549 m .50589 .97549 L s [(1)] .48714 .97549 1 0 Mshowa .125 Mabswid .49964 .06705 m .50339 .06705 L s .49964 .11486 m .50339 .11486 L s .49964 .16267 m .50339 .16267 L s .49964 .21049 m .50339 .21049 L s .49964 .30611 m .50339 .30611 L s .49964 .35392 m .50339 .35392 L s .49964 .40174 m .50339 .40174 L s .49964 .44955 m .50339 .44955 L s .49964 .54518 m .50339 .54518 L s .49964 .59299 m .50339 .59299 L s .49964 .6408 m .50339 .6408 L s .49964 .68861 m .50339 .68861 L s .49964 .78424 m .50339 .78424 L s .49964 .83205 m .50339 .83205 L s .49964 .87987 m .50339 .87987 L s .49964 .92768 m .50339 .92768 L s .25 Mabswid .49964 0 m .49964 .99883 L s gsave .5 1.01133 -81.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (T4) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 75.000000 13.437500 moveto (@) show 81.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 87.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 93.125000 13.437500 moveto (D) show 99.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Math2Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Math2Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Math2Mono %%+ font Courier grestore 0 0 m 1 0 L 1 .99883 L 0 .99883 L closepath clip newpath .015 w .4288 .5917 Mdot .11035 .55419 Mdot .24758 .94114 Mdot .34292 .61363 Mdot .15833 .91307 Mdot .31006 .97401 Mdot .37613 .68278 Mdot .08814 .50158 Mdot .27955 .94802 Mdot .21237 .76916 Mdot .26866 .83876 Mdot .32952 .81766 Mdot .33949 .74443 Mdot .24068 .76083 Mdot .11342 .77878 Mdot .39739 .64456 Mdot .45473 .8412 Mdot .10884 .64604 Mdot .10011 .65578 Mdot .04222 .64182 Mdot .3202 .68325 Mdot .32948 .84815 Mdot .07305 .81997 Mdot .4996 .52785 Mdot .2332 .57291 Mdot .28044 .74252 Mdot .14129 .76962 Mdot .38268 .59532 Mdot .1862 .90391 Mdot .29535 .92477 Mdot .1076 .7455 Mdot .27465 .78032 Mdot .28704 .55961 Mdot .44481 .90766 Mdot .2355 .71513 Mdot .44484 .87717 Mdot .02381 .63958 Mdot .18591 .63201 Mdot .38216 .84546 Mdot .30287 .53406 Mdot .21747 .91703 Mdot .02902 .58477 Mdot .13138 .6689 Mdot .25402 .77995 Mdot .34398 .60665 Mdot .30885 .84778 Mdot .12999 .86701 Mdot .36365 .9461 Mdot .12769 .72478 Mdot .19925 .81145 Mdot .24517 .85482 Mdot .39602 .77476 Mdot .04921 .91328 Mdot .38851 .68734 Mdot .41747 .74174 Mdot .156 .88289 Mdot .095 .63246 Mdot .34679 .53247 Mdot .46464 .74095 Mdot .48278 .56186 Mdot .35846 .51352 Mdot .30504 .72591 Mdot .13479 .63419 Mdot .40866 .92664 Mdot .10709 .69641 Mdot .04166 .73666 Mdot .18926 .93016 Mdot .3853 .82926 Mdot .11578 .79506 Mdot .06002 .79415 Mdot .15078 .55147 Mdot .07688 .72965 Mdot .29196 .53531 Mdot .27148 .50111 Mdot .17867 .87661 Mdot .36246 .54996 Mdot .09309 .67756 Mdot .3423 .78879 Mdot .40346 .7229 Mdot .45664 .93501 Mdot .3092 .90333 Mdot .41813 .63822 Mdot .17993 .84922 Mdot .36276 .88406 Mdot .38761 .81127 Mdot .11279 .88032 Mdot .23045 .91015 Mdot .24997 .82772 Mdot .15887 .72995 Mdot .40731 .5363 Mdot .25505 .50441 Mdot .45031 .57677 Mdot .44549 .57657 Mdot .05369 .91404 Mdot .28707 .70284 Mdot .19057 .52734 Mdot .39909 .86706 Mdot .0993 .62252 Mdot .19015 .93241 Mdot .34896 .77029 Mdot .05279 .69982 Mdot .4413 .73136 Mdot .29738 .69277 Mdot .49063 .65194 Mdot .35153 .61356 Mdot .45845 .71339 Mdot .08598 .88621 Mdot .28939 .68341 Mdot .18653 .51651 Mdot .2116 .55826 Mdot .49602 .55959 Mdot .36227 .76346 Mdot .46474 .83526 Mdot .42062 .52946 Mdot .18887 .63985 Mdot .42963 .85301 Mdot .33697 .52365 Mdot .47082 .63698 Mdot .27251 .61293 Mdot .20294 .92906 Mdot .10749 .59378 Mdot .49098 .86816 Mdot .11111 .53155 Mdot .15021 .60207 Mdot .14601 .67178 Mdot .22924 .56997 Mdot .45678 .52928 Mdot .29925 .69245 Mdot .14132 .50299 Mdot .32807 .55283 Mdot .36845 .86555 Mdot .14664 .59926 Mdot .28247 .76913 Mdot .1553 .70659 Mdot .19287 .73495 Mdot .0266 .60188 Mdot .06837 .56053 Mdot .297 .52928 Mdot .11123 .52861 Mdot .49739 .81232 Mdot .46954 .52298 Mdot .19083 .75685 Mdot .1226 .63292 Mdot .0657 .65495 Mdot .33976 .83928 Mdot .41003 .92385 Mdot .1684 .60169 Mdot .40495 .81933 Mdot .12154 .53852 Mdot .12946 .78742 Mdot .03183 .50727 Mdot .13171 .95059 Mdot .06192 .95978 Mdot .44052 .6911 Mdot .43896 .82422 Mdot .39634 .53351 Mdot .12071 .96044 Mdot .48594 .58514 Mdot .45195 .85611 Mdot .1025 .7413 Mdot .35192 .81495 Mdot .47268 .92937 Mdot .3416 .80504 Mdot .36248 .95427 Mdot .30119 .82075 Mdot .4216 .76054 Mdot .36186 .97202 Mdot .04677 .72439 Mdot .26266 .50894 Mdot .06047 .63661 Mdot .31036 .62832 Mdot .45761 .87081 Mdot .45808 .78886 Mdot .48456 .91693 Mdot .13799 .95931 Mdot .14359 .93814 Mdot .33644 .63593 Mdot .22163 .67497 Mdot .47422 .6394 Mdot .19636 .92607 Mdot .23306 .62782 Mdot .1574 .78681 Mdot .42235 .97499 Mdot .19944 .8915 Mdot .46391 .68349 Mdot .21451 .95006 Mdot .34743 .69966 Mdot .09243 .50928 Mdot .0325 .5611 Mdot .37045 .8098 Mdot .05792 .89719 Mdot .19559 .85923 Mdot .32449 .76673 Mdot .0597 .56978 Mdot .40179 .76724 Mdot .3599 .65377 Mdot .43752 .58111 Mdot .1669 .6792 Mdot .1116 .85694 Mdot .09598 .66728 Mdot .25 g .10062 .20152 Mdot .22517 .16176 Mdot .06421 .12322 Mdot .05109 .0455 Mdot .23936 .3926 Mdot .49103 .11791 Mdot .33721 .18434 Mdot .15264 .27432 Mdot .39933 .26809 Mdot .48537 .45616 Mdot .30923 .14954 Mdot .41091 .14794 Mdot .23012 .44538 Mdot .20725 .48354 Mdot .18742 .34139 Mdot .17767 .45728 Mdot .4477 .44616 Mdot .18628 .3586 Mdot .13201 .28105 Mdot .05515 .10351 Mdot .23232 .03219 Mdot .06942 .14471 Mdot .42272 .38001 Mdot .15815 .49413 Mdot .21411 .43199 Mdot .45054 .02982 Mdot .0482 .10983 Mdot .29439 .06991 Mdot .10013 .16104 Mdot .12962 .20867 Mdot .46776 .37736 Mdot .09598 .12439 Mdot .25696 .3644 Mdot .04807 .47704 Mdot .33387 .48176 Mdot .38956 .48027 Mdot .14127 .069 Mdot .43865 .46968 Mdot .11459 .45653 Mdot .16578 .41901 Mdot .03597 .31472 Mdot .05767 .22957 Mdot .06784 .43473 Mdot .46134 .12441 Mdot .31052 .08956 Mdot .43478 .14473 Mdot .47629 .10516 Mdot .06673 .16182 Mdot .35653 .0554 Mdot .12771 .18951 Mdot .26345 .09623 Mdot .46157 .26786 Mdot .249 .27887 Mdot .42541 .05752 Mdot .20267 .3415 Mdot .46371 .43047 Mdot .39178 .27118 Mdot .05045 .30497 Mdot .41513 .18525 Mdot .48336 .16238 Mdot .08011 .14909 Mdot .37715 .47024 Mdot .3163 .0721 Mdot .41522 .22161 Mdot .08881 .29059 Mdot .48945 .18332 Mdot .38578 .44645 Mdot .04724 .25021 Mdot .49363 .1945 Mdot .49644 .4426 Mdot .10001 .02848 Mdot .03459 .29945 Mdot .04141 .37675 Mdot .15708 .32658 Mdot .22475 .32389 Mdot .2415 .1242 Mdot .15745 .05254 Mdot .25169 .43824 Mdot .27131 .10345 Mdot .22596 .20726 Mdot .27732 .40631 Mdot .22916 .26202 Mdot .19881 .39707 Mdot .21608 .45993 Mdot .17891 .03955 Mdot .08052 .15258 Mdot .4538 .21302 Mdot .33866 .04762 Mdot .31786 .17971 Mdot .10847 .10674 Mdot .06805 .0955 Mdot .38215 .39684 Mdot .29037 .18654 Mdot .1745 .15406 Mdot .11307 .28684 Mdot .45806 .19149 Mdot .43379 .26652 Mdot .39905 .05814 Mdot .47963 .07274 Mdot .08191 .02976 Mdot .18329 .39039 Mdot .47307 .42038 Mdot .13675 .31413 Mdot .11243 .04277 Mdot .34601 .14682 Mdot .43757 .38608 Mdot .25445 .35734 Mdot .47915 .21382 Mdot .3203 .11005 Mdot .10161 .17491 Mdot .3403 .05654 Mdot .04121 .16439 Mdot .17852 .16352 Mdot .06778 .24138 Mdot .06329 .34675 Mdot .45499 .21784 Mdot .21692 .21917 Mdot .03894 .32913 Mdot .4621 .35919 Mdot .05943 .13454 Mdot .16332 .26837 Mdot .45746 .45699 Mdot .32266 .23106 Mdot .43775 .31183 Mdot .16564 .08678 Mdot .39148 .08969 Mdot .12387 .23739 Mdot .43612 .36921 Mdot .40659 .03745 Mdot .4187 .05931 Mdot .44412 .17563 Mdot .38078 .42213 Mdot .30232 .40462 Mdot .42296 .46251 Mdot .4793 .19279 Mdot .48485 .16991 Mdot .33517 .12524 Mdot .11488 .09946 Mdot .23281 .38521 Mdot .1784 .22762 Mdot .32586 .36699 Mdot .25934 .18754 Mdot .38138 .2106 Mdot .3782 .26277 Mdot .10057 .30334 Mdot .45488 .29762 Mdot .12091 .12979 Mdot .46967 .14694 Mdot .28538 .02378 Mdot .37629 .06672 Mdot .07408 .13593 Mdot .21941 .33647 Mdot .24786 .2663 Mdot .4597 .16816 Mdot .36612 .07493 Mdot .10301 .40276 Mdot .28706 .26895 Mdot .14778 .12437 Mdot .18766 .1584 Mdot .17775 .47479 Mdot .40191 .15385 Mdot .3011 .4273 Mdot .34934 .03715 Mdot .1032 .11007 Mdot .12299 .26822 Mdot .14313 .43927 Mdot .25651 .21251 Mdot .06163 .05574 Mdot .46909 .44092 Mdot .41349 .42873 Mdot .30295 .30176 Mdot .25725 .45131 Mdot .40067 .16714 Mdot .45579 .04324 Mdot .07284 .14923 Mdot .37411 .43053 Mdot .44949 .37837 Mdot .25248 .48862 Mdot .21448 .18509 Mdot .21236 .45211 Mdot .24503 .24153 Mdot .29851 .04262 Mdot .44172 .43713 Mdot .06277 .08867 Mdot .06256 .28922 Mdot .10662 .06467 Mdot .48936 .15923 Mdot .23215 .1315 Mdot .06138 .27822 Mdot .47931 .14024 Mdot .34654 .11236 Mdot .28845 .18548 Mdot .12302 .36819 Mdot .48958 .1621 Mdot .18094 .42842 Mdot .44832 .09267 Mdot .13989 .15844 Mdot .36321 .04723 Mdot .15017 .49657 Mdot .15258 .4131 Mdot .5 g .88898 .23759 Mdot .82637 .2921 Mdot .73588 .14446 Mdot .61518 .12585 Mdot .83738 .27362 Mdot .60512 .46111 Mdot .51868 .34256 Mdot .5538 .38767 Mdot .63706 .20336 Mdot .89551 .35967 Mdot .76572 .20415 Mdot .54844 .44394 Mdot .85452 .46393 Mdot .69984 .17108 Mdot .61828 .3387 Mdot .5843 .06447 Mdot .75866 .08431 Mdot .95694 .10072 Mdot .73962 .23911 Mdot .90278 .21041 Mdot .60219 .05499 Mdot .50691 .3481 Mdot .81423 .3482 Mdot .93623 .40152 Mdot .93749 .38164 Mdot .73603 .24968 Mdot .81885 .06217 Mdot .65137 .20444 Mdot .55983 .47522 Mdot .6722 .12295 Mdot .79798 .25534 Mdot .74719 .40991 Mdot .69542 .21958 Mdot .73992 .08104 Mdot .85896 .36874 Mdot .78145 .17688 Mdot .89924 .48447 Mdot .54506 .42457 Mdot .58003 .44154 Mdot .87146 .23936 Mdot .51984 .46368 Mdot .6989 .13564 Mdot .69963 .22758 Mdot .92947 .22309 Mdot .50385 .02723 Mdot .68919 .16129 Mdot .62266 .15585 Mdot .8855 .48176 Mdot .70119 .16874 Mdot .84008 .07643 Mdot .6208 .22457 Mdot .94639 .33443 Mdot .6006 .25825 Mdot .74713 .21802 Mdot .87874 .0499 Mdot .79543 .49229 Mdot .87453 .0419 Mdot .60587 .35024 Mdot .75151 .38342 Mdot .69814 .36584 Mdot .54996 .23391 Mdot .83582 .30864 Mdot .90692 .02858 Mdot .8672 .47158 Mdot .80596 .2677 Mdot .61971 .27279 Mdot .90499 .23703 Mdot .80205 .27786 Mdot .5301 .21436 Mdot .69581 .42498 Mdot .75636 .3283 Mdot .97544 .07838 Mdot .70604 .11363 Mdot .63925 .2671 Mdot .77689 .10428 Mdot .74982 .29288 Mdot .94869 .33395 Mdot .62975 .03933 Mdot .54334 .11615 Mdot .80548 .25884 Mdot .51287 .39916 Mdot .60931 .33122 Mdot .73428 .09009 Mdot .61163 .27208 Mdot .52787 .47382 Mdot .95015 .02421 Mdot .72875 .38877 Mdot .69996 .22869 Mdot .75783 .07405 Mdot .56985 .20859 Mdot .71413 .45526 Mdot .74214 .44712 Mdot .7009 .07534 Mdot .63247 .13513 Mdot .94439 .48261 Mdot .52048 .36042 Mdot .91616 .02803 Mdot .5481 .35544 Mdot .68705 .13662 Mdot .8259 .14598 Mdot .90699 .0818 Mdot .75569 .43475 Mdot .69249 .1239 Mdot .51319 .485 Mdot .96936 .0678 Mdot .85848 .3691 Mdot .52461 .08255 Mdot .83765 .02791 Mdot .58622 .07375 Mdot .78919 .16983 Mdot .87694 .43449 Mdot .94106 .04308 Mdot .94773 .37193 Mdot .68501 .10569 Mdot .75487 .26726 Mdot .67146 .11805 Mdot .76327 .21869 Mdot .79074 .24632 Mdot .7383 .15538 Mdot .93086 .23764 Mdot .65172 .10086 Mdot .64131 .08705 Mdot .75254 .16373 Mdot .67802 .0632 Mdot .78258 .28916 Mdot .97078 .45488 Mdot .52735 .04114 Mdot .79896 .35606 Mdot .74184 .31981 Mdot .50786 .12897 Mdot .50318 .18367 Mdot .55477 .38869 Mdot .82923 .10204 Mdot .89123 .32088 Mdot .57633 .43568 Mdot .71285 .27692 Mdot .77152 .16575 Mdot .71984 .3194 Mdot .74381 .14384 Mdot .89864 .46071 Mdot .50161 .32139 Mdot .89042 .35097 Mdot .97619 .15696 Mdot .83529 .45964 Mdot .6466 .07415 Mdot .92183 .15799 Mdot .5699 .13584 Mdot .70861 .37844 Mdot .77615 .46745 Mdot .96655 .07827 Mdot .53198 .34285 Mdot .56754 .11492 Mdot .53001 .04069 Mdot .65489 .26131 Mdot .53159 .3811 Mdot .79737 .29904 Mdot .86276 .32618 Mdot .85331 .16028 Mdot .7925 .20958 Mdot .64434 .27921 Mdot .51599 .23948 Mdot .65556 .22018 Mdot .96178 .394 Mdot .58766 .12449 Mdot .93141 .37254 Mdot .91053 .36054 Mdot .89946 .4888 Mdot .6128 .08074 Mdot .53634 .18186 Mdot .73726 .41782 Mdot .72161 .46964 Mdot .59256 .15784 Mdot .70526 .24939 Mdot .91477 .43503 Mdot .72125 .35276 Mdot .82675 .32977 Mdot .76761 .47758 Mdot .89399 .46659 Mdot .84592 .48614 Mdot .78082 .40509 Mdot .80922 .32352 Mdot .54321 .48463 Mdot .58725 .35123 Mdot .92841 .34602 Mdot .85975 .12107 Mdot .51328 .40835 Mdot .63815 .26568 Mdot .66429 .09782 Mdot .8483 .28546 Mdot .74807 .12858 Mdot .50203 .29668 Mdot .94501 .22086 Mdot .67058 .47052 Mdot .90145 .23358 Mdot .58297 .13852 Mdot .9508 .38492 Mdot .70098 .03669 Mdot .93716 .47393 Mdot .56248 .26837 Mdot .77251 .39535 Mdot .75 g .69194 .51445 Mdot .52408 .70872 Mdot .68955 .79189 Mdot .55683 .91035 Mdot .51861 .76505 Mdot .63315 .64657 Mdot .91341 .88434 Mdot .66011 .53413 Mdot .71206 .90179 Mdot .70072 .5107 Mdot .64923 .6728 Mdot .90597 .88682 Mdot .93505 .65572 Mdot .88153 .67546 Mdot .74514 .83932 Mdot .82434 .7406 Mdot .72617 .57163 Mdot .69083 .5914 Mdot .79052 .66278 Mdot .53035 .55463 Mdot .5781 .73647 Mdot .80741 .54129 Mdot .90664 .56103 Mdot .8792 .62996 Mdot .94936 .8808 Mdot .97543 .93 Mdot .70386 .53885 Mdot .65073 .68676 Mdot .95546 .94271 Mdot .93767 .59273 Mdot .66457 .77729 Mdot .90695 .53546 Mdot .58611 .53818 Mdot .59919 .96966 Mdot .65724 .95264 Mdot .69776 .83706 Mdot .68565 .5692 Mdot .70009 .88256 Mdot .95956 .52772 Mdot .549 .69316 Mdot .50374 .5605 Mdot .5891 .5978 Mdot .81694 .7587 Mdot .65991 .5597 Mdot .73046 .71788 Mdot .56036 .56553 Mdot .57287 .74073 Mdot .84038 .70395 Mdot .86499 .66889 Mdot .63992 .79689 Mdot .8832 .63853 Mdot .59056 .60109 Mdot .8791 .5754 Mdot .50111 .50066 Mdot .5618 .79219 Mdot .81896 .91645 Mdot .8091 .57168 Mdot .75824 .84828 Mdot .73587 .80644 Mdot .89563 .64169 Mdot .84865 .63492 Mdot .75535 .82029 Mdot .94322 .97187 Mdot .66442 .71656 Mdot .56376 .89384 Mdot .66295 .71327 Mdot .5016 .59901 Mdot .82176 .77231 Mdot .67027 .5247 Mdot .56316 .89952 Mdot .91217 .69375 Mdot .64529 .75519 Mdot .56315 .5562 Mdot .86772 .91039 Mdot .5977 .55981 Mdot .70293 .69119 Mdot .53357 .64146 Mdot .53962 .95341 Mdot .53161 .53981 Mdot .69563 .67846 Mdot .8391 .51247 Mdot .63211 .75443 Mdot .90471 .79421 Mdot .96459 .97472 Mdot .84119 .73538 Mdot .59651 .5617 Mdot .74313 .67293 Mdot .87135 .846 Mdot .7092 .52883 Mdot .83136 .86808 Mdot .67723 .9645 Mdot .63537 .68699 Mdot .81589 .94939 Mdot .50289 .90805 Mdot .88895 .65254 Mdot .51607 .90882 Mdot .5474 .89265 Mdot .89733 .84448 Mdot .78204 .71709 Mdot .52562 .97397 Mdot .57248 .68562 Mdot .67202 .60326 Mdot .87302 .69661 Mdot .53629 .89176 Mdot .55677 .72271 Mdot .53304 .9592 Mdot .64558 .56753 Mdot .5166 .54775 Mdot .59782 .65037 Mdot .59704 .67876 Mdot .79355 .90878 Mdot .57106 .68027 Mdot .72071 .72052 Mdot .8768 .57438 Mdot .82545 .52127 Mdot .84015 .65811 Mdot .76833 .77405 Mdot .80675 .6744 Mdot .62238 .70388 Mdot .78979 .62402 Mdot .5242 .55087 Mdot .69238 .92075 Mdot .70842 .61759 Mdot .62096 .73784 Mdot .96548 .87256 Mdot .72192 .66082 Mdot .63967 .84865 Mdot .85954 .50008 Mdot .84911 .57197 Mdot .55243 .80117 Mdot .72637 .84358 Mdot .74041 .67452 Mdot .7018 .79007 Mdot .54767 .72926 Mdot .97115 .66985 Mdot .90447 .96691 Mdot .5053 .77278 Mdot .68219 .80344 Mdot .8434 .89961 Mdot .80042 .80073 Mdot .97205 .82501 Mdot .74763 .97505 Mdot .74533 .95692 Mdot .50686 .7979 Mdot .54316 .66422 Mdot .93696 .566 Mdot .54978 .96986 Mdot .53212 .57459 Mdot .54412 .69445 Mdot .8277 .74664 Mdot .67849 .77032 Mdot .52692 .9214 Mdot .6842 .92081 Mdot .75706 .92184 Mdot .91664 .93937 Mdot .74984 .6213 Mdot .87312 .77252 Mdot .79065 .55266 Mdot .82298 .77815 Mdot .75817 .95356 Mdot .7785 .58107 Mdot .90823 .70429 Mdot .59965 .78624 Mdot .88095 .75838 Mdot .89322 .84092 Mdot .62353 .81204 Mdot .95435 .87704 Mdot .85146 .6881 Mdot .58087 .60188 Mdot .56045 .6328 Mdot .73566 .79922 Mdot .78005 .65472 Mdot .93493 .71551 Mdot .84958 .92592 Mdot .83492 .90476 Mdot .9464 .6649 Mdot .91946 .5612 Mdot .82251 .82835 Mdot .94289 .65966 Mdot .94882 .63762 Mdot .86166 .55514 Mdot .88801 .50218 Mdot .62564 .73142 Mdot .6076 .82295 Mdot .66848 .51327 Mdot .73579 .87253 Mdot .81133 .584 Mdot .76716 .70499 Mdot .86963 .52015 Mdot .92242 .85213 Mdot .90451 .83599 Mdot .95136 .71187 Mdot .54249 .77821 Mdot .56299 .70705 Mdot .89462 .54415 Mdot .93315 .85959 Mdot .72579 .52824 Mdot .697 .96255 Mdot .89223 .91974 Mdot .90761 .75492 Mdot MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 137.125}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol00acWOomoo`0:Ool00acWOomoo`09Ool00acWOomoo`03Ool00`00Oomo o`0COol00cg_Oomoo`0_Ool001aoo`03?Nmoogoo02Aoo`8000Aoo`04001oogooG_LDOol00ekgOomo o`0@Ool00ekgOomoo`05Ool00ekgOomoo`0UOol00acWOomoo`04Ool00acWOomoo`05Ool00acWOomo o`0;Ool00acWOomoo`09Ool01QcWOomoogoo000Li`Eoo`04001oogoo?Nl:Ool00cg_Oomoo`0IOol0 0cg_Oomoo`05Ool00cg_Oomoo`0COol001=oo`03?Nmoogoo01=oo`03?Nmoogoo00Yoo`03?Nmoogoo 009oo`8mk`Yoo`03?Nmoo`0000moo`04G_MooekgG_LHOol00ekgOomoo`07Ool00ekgOomoo`0^Ool0 0acWOomoo`0BOol011cWOomooacW3goo00<007ooOol09goo00Moogoo01aoo`037>MooacW00Aoo`047>MooacW7>L8Ool00`00Oomoo`08Ool00cg_ Oomoo`06Ool00cg_Oomoo`0=Ool00cg_Oomoo`0QOol002Yoo`8mk`aoo`04?Nmoogoo?Nl=Ool2000W Ool00ekgOomoo`0fOol01AcWOomoogoo7>L047oo00@LigooOolLi`Eoo`037>Moogoo00aoo`03001o ogoo00Ioo`03?Nmoogoo02Uoo`03?Nmoogoo011oo`0057oo00Ool00acWOomoo`06Ool00acWOomoo`0:Ool00`00Oolmk`0L@Ool00acWOomoo`0E Ool011cWOomoo`0047oo00@mkgooOolmk`Yoo`03?Nmoogoo00=oo`03?Nmoogoo00]oo`03?Nmoogoo 019oo`00:goo00goo00DLigooOomooacW00Aoo`03 7>Moogoo00Qoo`037>Moogoo00Qoo`037>Moogoo00]oo`067>Moogoo7>Moo`0027oo00L0;Goo00@LigooOol000Ioo`03?Nmoocg_00Aoo`03?Nmoogoo00Aoo`8mkc5oo`008goo00Moogoo7>L3Ool01AcWOomo ogoo00006Goo0Sg_27oo00Moogoo7>L3Ool00acWOomoo`06Ool00acWOomoo`02Ool00acWOomoo`0AOol00acWOomoo`04 Ool01QcWOomooacWOol001Aoo`8mk`Eoo`03?Nmoocg_02Uoo`008Goo00L2Ool00acWOolLi`08Ool00acWOomoo`05Ool00acWOolmk`03Ool00cg_ Oomoo`11Ool002ioo`L004Moo`00;Goo00Moogoo00Eoo`037>Moogoo00=o o`03001oogoo00Aoo`03?Nmoogoo01Moo`03?Nmoogoo00Uoo`03?Nmoogoo01Qoo`0077oo00Moogoo01Aoo`057>MoogooOolLi`02Ool0 11cWOomoo`000Woo00Moogoo01=oo`037>Moogoo008000Ao o`8000=oo`<000Aoo`03000mkgoo009oo`03?Nmoogoo01=oo`03?Nmoogoo00aoo`04?Nmoocg_?Nl2 Ool00cg_Oomoo`0EOol002=oo`03?Nmoogoo00Uoo`04?Nmoogoo?Nl3Ool023g_001oogoo001oocg_ Ool20002Ool01Cg_Oomoogoo00000Woo00<007ooOol02goo00=NmgooOol057oo00=NmgooOol027oo 00=NmgooOol0:Woo00Moogoo008L i`Uoo`057>MoogooOolLi`05Ool01000Oomoo`000Woo0QcW0goo00@Li`00OolLi`Aoo`03001oogoo 00Aoo`03?Nmoogoo009oo`8mk`03Oolmkgoo00]oo`03?Nmoogoo00=oo`05?NmoogooOolmk`0QOol0 03Eoo`05?Nmoogoo?Nl00009Ool01000?Nl003g_0Woo00<007ooOol047oo00=NmgooOol00goo00=N mgooOol0@Goo00Moogoo7>MooacW;7oo00<007ooOol07Goo00L08Goo00@007oo?Nlmk`Uo o`03?Nmoogoo03Qoo`006Goo00@mkgooOolmk`]oo`03?Nmoogoo00Eoo`03?Nmoogoo01Ioo`8000Io o`03G_Moogoo00Uoo`03G_Mooekg00Ioo`03G_Moogoo03eoo`037>Moogoo02moo`03?Nmoogoo00Io o`03?Nmoocg_00eoo`03?Nmoogoo00Moo`03?Nmoogoo00Ioo`05?NmoogooOolmk`0GOol001Yoo`03 ?Nmoogoo00Yoo`03?Nmoogoo00Eoo`03?Nmoogoo01Moo`03001oogoo01=oo`03G_Moogoo00Uoo`03 G_Moogoo00=oo`03G_Moogoo041oo`037>Moogoo00Eoo`037>Moogoo01Aoo`037>Moogoo009oo`03 001oocg_009oo`03?Nmoogoo01Uoo`03?Nmoogoo00Qoo`03?Nmoocg_01Uoo`005Goo00L3Ool00`00Oomoo`0DOol00cg_Oomoo`0FOol00cg_Oolmk`0EOol001Yoo`03 ?Nmoogoo009oo`03?Nmoogoo00eoo`03?Nmoogoo00Aoo`03?Nmoogoo011oo`03001oogoo06eoo`03 7>Moogoo01Aoo`037>Moogoo00Eoo`04001oogoo?Nl2Ool00cg_Oomoo`0@Ool013g_Oomoocg_57oo 00MooacW00Aoo`037>Moogoo00eoo`037>Moogoo00]o o`03001oogoo01]oo`03?Nmoogoo01=oo`03?Nmoogoo015oo`008Woo00Moogoo015oo`047>Moogoo 7>LFOol00`00?Nmoo`0LOol00cg_Oomoo`0?Ool00cg_Oomoo`0DOol001Qoo`8mk`Aoo`03?Nmoocg_ 01Moo`03?Nmoogoo00ioo`03001oogoo009oo`03G_Moogoo00=oo`9NmeYoo`037>Moogoo02Eoo`03 000mkgoo01Uoo`03?Nmoogoo02Uoo`0057oo0`004goo0P0017oo0P000goo0`002Woo0Sg_1Goo00<0 07ooOol02Goo00=NmgooOol01Goo0P0017oo00<005kgOol00Woo0`004goo0`008Goo0`0037oo00Ool00`00Oomoo`0@Ool01000OomNm`000goo0P0000=N mgooOol00goo00<007ooOol04Goo00<007ooOol08Goo00<007ooOol03Goo00HLigooOomooacW0002 Ool01000Oomoogoo0P0000L017oo00L8Ool00acW Oomoo`0500001Goo001oogoo7>L02goo00<007ooOol01goo00@LigooOolLi`=oo`03001oogoo00Eo o`8mk`Uoo`04001oogoo0005Ool00cg_Oomoo`03Ool00`00Oomoo`05Ool00cg_Oomoo`02Ool00cg_ Oomoo`03Ool00`00Oomoo`0@Ool001Eoo`03001oogoo015oo`04001oocg_0008Ool3000017oo?Nmo ogoo0Sg_1Goo00L0009oo`03000Ligoo00Ioo`03001oogoo00aoo`067>Moogoo7>Moo`004Woo00H007ooOol007oo ?Nl6Ool00`00Oomoo`04Ool00cg_Oomoo`0Moogoo00Ioo`03001oocg_00Qoo`03?Nmoogoo00Io o`8000Uoo`04?Nl000000005Ool013g_Oomoogoo0Sg_1Woo0P004Woo000EOol00cg_Oomoo`02Ool0 0cg_Oomoo`0YOol013g_Oomoo`001Goo00=NmgooOol03goo00=NmgooOol05Goo00=NmgooOol00goo 00=NmgooOol08Woo00Moogoo00aoo`037>Moogoo 00=oo`037>Moogoo00Yoo`05000mkgooOolmk`0IOol00cg_Oomoo`06Ool01cg_Oomoogoo?Nmoocg_ 00Aoo`03?Nmoogoo01=oo`004goo00L0000000L0 00037>L0000003/00003?Nl0000000T00003?Nl0000000X000ioo`004Goo8@0000@mk`00000mk`d0 00037>L0000000<00003G_L0000000T00003G_L0000002000003G_L0000000P001ioo`03001oogoo 00=oo`03001oo`00009oo`07001oogoo000Ligoo000017oo00<007ooOol00goo00<007ooOol00Woo 00<007ooOol00Woo00<007ooOol00goo00<007ooOol00Woo00<007ooOol00goo00=NmgooOol00Woo 00<007ooOol00goo00<007ooOol00Woo00<007ooOol00Woo00<007ooOol00goo00<007ooOol00Woo 00<007ooOol00goo00<007ooG_L00Woo00<005kgOol00goo00<007ooOol00Woo00<007ooOol03goo 000NOol011cWOomoogoo0QcW00=ooacW7>L07Goo00L01Goo7>Moogoo7>L07goo00<007ooOol017oo00<007ooOol09Woo00<007ooOol0 >7oo00<007ooOol047oo00<007ooOol03Woo00<007ooOol047oo00=NmgooG_L03Woo00=NmgooOol0 0Woo00=NmgooOol077oo000LOol00acWOomoo`02Ool00acWOomoo`0LOol011cWOomooacW1Goo00@0 07ooOol000aoo`03001oogoo01ioo`03001oogoo02ioo`03001oogoo00Ioo`03001oogoo00Uoo`03 001oogoo009oo`03001oogoo00Ioo`03001oogoo009oo`80009oo`80019oo`07G_MoogooOomNmgoo G_L06Woo00=NmgooOol04Goo000NOol00acWOomoo`02Ool00acWOomoo`09Ool00acWOomoo`07Ool0 0acWOolLi`05Ool00acWOomoo`05Ool00`00Oomoo`0BOol00`00Oomoo`04Ool00`00Oomoo`07Ool0 0`00Oomoo`0iOol2000COol20004Ool00`00Oomoo`03Ool2000:Ool00`00Oomoo`06Ool00ekgOomo o`06Ool00ekgOomoo`02Ool00ekgOomoo`0DOol00ekgOomoo`0GOol001Aoo`8Lia1oo`047>Moogoo 7>L8Ool00acWOomoo`0?Ool00acWOomoo`02Ool20002Ool00`00Oomoo`02Ool00`00Oomoo`0=Ool0 0`00Oomoo`05Ool00`00Oomoo`03Ool01000Ool000001goo00<007ooOol0FWoo00@007ooOomNmaio o`03G_Moogoo00Moo`03G_Moogoo01Uoo`006goo00Moogoo02moo`03001oogoo00Qo o`03001oogoo01Yoo`03001oogoo035oo`03001oogoo015oo`03001oogoo01aoo`03001oogoo00=o o`03G_Moogoo00Moo`03G_Moogoo009oo`05G_MoogooOomNm`09Ool01EkgOomoogooG_L02Goo00=N mgooOol057oo000GOol00acWOomoo`0;Ool00acWOomoo`02Ool00acWOomoo`0?Ool00acWOomoo`06 Ool01AcWOomoogoo00000goo00<007ooOol02Goo00<007ooOol02Goo00<007oo00005goo00<007oo Ool0CWoo0`001Goo00@007ooOomNma]oo`03G_Moogoo00Qoo`9Nmaaoo`005Goo00L;Ool00acWOomoo`0GOol00`00Oomoo`0GOol00`00Oomoo`02Ool00`00Oomoo`03Ool0 0`00Oomoo`02Ool00`00Oomoo`0eOol01@00Oomoogoo00006Woo00<007ooOol02goo00=NmgooOol0 1goo00=NmgooOol097oo00=NmgooOol057oo000KOol00acWOomoo`0AOol00acWOomoo`0EOol00acW Ool00003Ool00`00Oomoo`0:Ool00`00Oomoo`0Mo ogoo019oo`047>Moogoo7>L2Ool00acWOomoo`03Ool00`00Oomoo`08Ool00`00Oomoo`08Ool00`00 Oomoo`0;Ool01@00Ool007oo0000C7oo00<007ooOol01Goo0P0047oo00<007ooOol057oo00=Nmgoo Ool0;Woo000HOol00acWOomoo`0COol00acWOomoo`0@Ool00acWOomoo`02Ool011cWOomoo`0057oo 00<007ooOol0BGoo00<007ooOol0:goo00<007ooOol06Goo00ENmgooOomooekg02Moo`005Woo00@L igooOolLibmoo`03001oogoo00=oo`03001oogoo01]oo`03001oogoo00=oo`03001oo`0000Ioo`80 02]oo`04001oogooOol20005Ool00`00Oomoo`02Ool00`00Oomoo`06Ool00`00Oomoo`0COol00`00 Oomoo`03Ool00ekgOomoo`0NOol01EkgOomoogooG_L077oo000GOol00acWOomoo`0_Ool3000?Ool0 0`00Oomoo`09Ool00`00Oomoo`0EOol00`00Oomoo`0OOol01@00Ool007oo00003Woo00<007ooOol0 3Woo00<007ooOol01Woo00<007ooOol00goo00D007ooOomoo`00009oo`03G_Moogoo02Eoo`9Nm`Eo o`03G_Moogoo01=oo`005Goo00L=Ool00acWOomoo`0QOol01000Oomoo`0027oo0P000Woo00<007ooOol02Goo00<007ooOol00Woo 00<007oo00000goo00<007ooOol0L02Goo00Moogoo7>L`Ool01@00Oomoogoo00004Goo00<007oo Ool067oo00<007ooOol0:7oo00<007ooOol05goo00<007ooOol017oo00<007ooOol03goo00<007oo Ool02Woo00=NmgooOol03Woo00=NmgooOol01Goo00=NmgooOol01Goo00=NmgooOol05goo000COol0 0acWOomoo`0?Ool27>L8Ool00acWOomoo`0GOol01@00Oomoogoo00000Woo00<007ooOol02goo00<0 07oo0000Cgoo00<007ooOol087oo00<007ooOol00Woo00<007ooG_L017oo00=NmgooOol027oo00=N mgooOol07Woo00=NmgooOol04Woo000hOol20004Ool00`007>Moo`02Ool30003Ool00`00Oomoo`0I Ool00`00Oomoo`02000BOol00`00Oomoo`0jOol00`00Oomoo`0:Ool20004Ool20003Ool30004Ool0 0`00Oomoo`03Ool00ekgOomoo`09Ool00ekgOomoo`04Ool2G_L4Ool00ekgOomoo`0?Ool00ekgOomo o`0DOol001aoo`037>Moogoo01Qoo`04001oogoo0003Ool20006Ool01000Oomoo`0037oo00<007oo Ool05goo00<007ooOol0Moogoo00Qoo`037>Moogoo00ioo`04001oogoo0009Ool00acWOol00002 Ool2001HOol00`00Oomoo`04Ool00`00Oomoo`08Ool00`00Oomoo`0=Ool01000Oomoo`002Woo0P00 0goo00<007ooOol01Goo00=NmgooOol00Woo00=NmgooOol057oo00=NmgooG_L08Goo000YOol00acW Oomoo`04Ool00acWOomoo`04Ool01000OolLiacW1goo00@Li`000000009oo`037>L0000001ioo`03 001oogoo00=oo`03001oogoo03Uoo`03001oogoo011oo`03001oogoo00Aoo`04001oogoo0005Ool0 0`00Oomoo`030004Ool00`00Oomoo`0ROol00ekgOomoo`0POol001ioo`037>Moogoo00]oo`047>Mo ogoo7>L7Ool01000Oomoo`0027oo00<007ooOol00goo00<007ooOol06goo00<007ooOol027oo00<0 07ooOol01Woo00<007ooOol0=Woo00<007ooOol03Woo00@007ooOol000Qoo`03001oogoo00Aoo`03 001oogoo00]oo`03G_Mooekg019oo`03G_Moogoo00Eoo`04G_MoogooG_LIOol001Aoo`037>Moogoo 00Qoo`037>Moogoo01Ioo`80009oo`8Li`Eoo`@0009oo`03001oogoo00Ioo`03001oogoo00=oo`03 001oogoo00Moo`03001oogoo05Eoo`03001oogoo00Ioo`03001oogoo00<000=oo`05001oogoo001o o`040003Ool00`00OomNm`15Ool002=oo`037>Moogoo009oo`037>Moogoo00=oo`037>Moogoo00Ao o`037>Moogoo00]oo`037>Moogoo00=oo`03001oogoo00Eoo`03001oogoo02Aoo`03001oogoo03Ao o`03001oogoo00Eoo`03001oogoo00Eoo`03001oogoo00Aoo`03001oogoo00=oo`03001oogoo00Uo o`03G_Moogoo015oo`03G_Moogoo00Moo`03G_Moogoo00=oo`03G_Moogoo00=oo`03G_Moogoo01]o o`009Goo00DLigooOomooacW00eoo`037>Moogoo00Moo`057>MoogooOolLi`03Ool2000BOol00`00 Oomoo`0IOol01000Oomoo`00;Woo00<007ooOol03Goo00@007ooOol001Uoo`05001oogooOomNm`0= Ool00ekgOomoo`0?Ool00ekgOomoo`0QOol004Aoo`067>Moogoo7>Moo`001Woo00<007ooOol05Goo 00<007ooOol0@Woo00@007ooOol001Aoo`03001oogoo00]oo`03001oogoo009oo`03001oogoo00=o o`03G_Moogoo009oo`03G_Moogoo00Moo`9Nmc5oo`00=goo00L00goo00Moogoo01moo`037>MooacW009oo`03001oogoo06moo`03001oogoo00=oo`03001oogoo 00Ioo`03001oogoo00=oo`03001oogoo00Eoo`03001oogoo00Uoo`03G_Moogoo01Eoo`03G_Moogoo 00ioo`03G_Moogoo011oo`006Woo00Ool00`00Oomoo`0Mo oacW00Moo`037>Moogoo01Ioo`03001oogoo011oo`03001oogoo00Aoo`03001oogoo00Aoo`03001o ogoo00Ioo`03001oogoo00Moo`03001oogoo02eoo`03001oogoo01Qoo`05001oogooOol00006Ool0 1P00Oomoo`00Ool001Uoo`03G_Moogoo00Qoo`03G_Moogoo00aoo`03G_Moogoo015oo`007goo00Moogoo00aoo`8000=oo`03001oogoo00Moo`03001o ogoo02=oo`03001oogoo02Yoo`03001oogoo00Eoo`03001oogoo01]oo`03001oogoo00Aoo`03001o ogoo02moo`9NmaAoo`005Goo00Moogoo00=oo`8Li`9oo`03 7>Moogoo00Uoo`037>Moogoo00Qoo`037>Moogoo00Qoo`03001oogoo00Qoo`04001oogoo0003Ool0 0`00Oomoo`02Ool00`00Oomoo`02Ool00`00Oomoo`0mOol00`00Oomoo`0=Ool00`00Oomoo`0POol0 1000Oomoogoo0Ukg00=ooekgOol07Goo00=NmgooOol07goo000NOol00acWOomoo`0XOol2000=Ool0 1000Oomoogoo0P00EWoo00<007ooOol02goo00<007ooOol037oo00<007ooOol017oo00=NmgooOol0 5Goo00=NmgooOol02Woo00=NmgooOol087oo000DOol00acWOomoo`0JOol00acWOomoo`0EOol00`00 Oomoo`0YOol00`00Oomoo`0/Ool2000;Ool00`00Oomoo`03Ool00`00Ool0000LOol01000Ool005kg 17oo00=NmgooOol067oo00ANmgooOomNm`Aoo`03G_Moogoo01aoo`0087oo0acW9Woo00<007ooOol0 5goo00<007ooOol027oo00<007ooOol0A7oo00<007ooOol027oo00<007ooOol02Woo00<007ooOol0 27oo00<007ooG_L04Goo0Ukg1goo00=NmgooOol01goo00=NmgooOol00Woo00=NmgooOol06Goo000K Ool011cWOomooacW0Woo00L027oo00L3Ool00acWOomoo`07Ool00acWOomoo`03Ool2 7>L6Ool00acWOomoo`0>Ool00`00Oomoo`05Ool00`00Oomoo`05Ool00`00Oomoo`0?Ool00`00Oomo o`08Ool00`00Oomoo`05Ool00`00Oomoo`0^Ool00`00Oomoo`09Ool00`00Oomoo`0DOol00`00Oomo o`03Ool00`00Oomoo`0/Ool01EkgOomoogooG_L057oo000EOol00acWOomoo`05Ool00acWOomoo`0= Ool00acWOomoo`03Ool00acWOomoo`0AOol00acWOol0000FOol01000Oomoo`0057oo00<007ooOol0 MooacW00moo`03001oogoo009oo`8000Eoo`04001oogoo001nOol00`00Oomoo`03Ool0 0`00Oomoo`02Ool00ekgOomoo`03Ool00ekgOomoo`06Ool00ekgOomNm`0FOol00ekgOomoo`0HOol0 04Aoo`03001oogoo009oo`8000Yoo`05001oogooOol0001XOol00`00Oomoo`03Ool00`00Oomoo`04 Ool01000Oomoo`001Goo00<007ooG_L06Goo00=NmgooOol04goo00=NmgooG_L04goo0014Ool00`00 Oomoo`02Ool00`00Oomoo`26Ool00`00Oomoo`03Ool00`00Oomoo`15Ool004Aoo`03001oogoo009o o`03001oogoo08Ioo`03001oogoo00=oo`03001oogoo04Eoo`00@goo0P00S7oo0P00CGoo003oOolQ Ool00?moob5oo`00eGoo0P003Woo0P00>Goo003EOol00`00Oomoo`0>Ool00`00Oomoo`0gOol004=o o`D00003Ool007oo07eoo`<000=oo`<000Aoo`03001oogoo00D00003Ool007oo00Ioo`03001oogoo 03Moo`00A7oo00D007oo001oo`00081oo`03001oogoo00=oo`03001oogoo00=oo`09001oogooOol0 07oo001oo`0000Qoo`03001oogoo03Moo`00A7oo00@007oo0000085oo`04001oogooOol40004Ool0 1P00Oomoogoo001oo`8000Uoo`03001oogoo03Moo`00A7oo00D007oo001oo`0007ioo`09001oo`00 Ool007oo001oo`0000Eoo`09001oogooOol007oo001oo`0000Qoo`03001oogoo03Moo`00A7oo00D0 07oo001oo`00009oo`<007Uoo`09001oo`00Ool007oo001oo`0000Eoo`09001oogooOol007oo001o o`00009oo`<000=oo`03001oogoo03Moo`00@goo1P000goo00<007ooOol0N7oo1@000Woo0P001Goo 0P0000=oo`00000010000goo00@007ooOomoo`8003Uoo`00CGoo00<007ooOol0TWoo00<007ooOol0 >goo001;Ool3002BOol3000mOol00?moob5oo`00ogoo8Goo003oOolQOol00?moob5oo`00\ \>"], ImageRangeCache->{{{0, 287}, {136.125, 0}} -> {-0.0554274, -0.0238423, 0.0073549, 0.0073549}, {{7.5, 137}, {132.875, 3.1875}} -> {-1.35472, -1.14237, 0.0183691, 0.0183691}, {{149.938, 279.438}, {132.875, 3.1875}} -> {-3.97858, -1.14264, 0.0184034, 0.0184034}}] }, Open ]], Cell["Note the rotation. Now, we apply T2 to the domain points:", "Text"], Cell["T2quad[n_] := trans[T2, quad[n]]; ", "Input"], Cell["T2quadPlot[n_] := drawPoints[T2quad[n], (n - 1)/4, 0.015]; ", "Input"], Cell[TextData[ "imageT2 = Show[{Table[T2quadPlot[n], {n, 4}]}, \n PlotLabel -> \ \"T2[\\!\\(TraditionalForm\\`\[DoubleStruckCapitalR]\\^2\\)]\"]; "], "Input"], Cell[CellGroupData[{ Cell["\<\ Show[GraphicsArray[{domain, imageT2}], DisplayFunction -> \ $DisplayFunction]; \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .47675 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 0.0113511 0.47619 [ [ 0 0 0 0 ] [ 1 .47675 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .47675 L 0 .47675 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0113511 0.477324 0.465396 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.497944 0.478688 0.500946 0.478688 [ [.01926 .48845 -6 -9 ] [.01926 .48845 6 0 ] [.2586 .48845 -12 -9 ] [.2586 .48845 12 0 ] [.73729 .48845 -9 -9 ] [.73729 .48845 9 0 ] [.97663 .48845 -3 -9 ] [.97663 .48845 3 0 ] [.48544 .02226 -12 -4.5 ] [.48544 .02226 0 4.5 ] [.48544 .2616 -24 -4.5 ] [.48544 .2616 0 4.5 ] [.48544 .74029 -18 -4.5 ] [.48544 .74029 0 4.5 ] [.48544 .97963 -6 -4.5 ] [.48544 .97963 0 4.5 ] [.5 1.01367 -8.0625 0 ] [.5 1.01367 8.0625 12.4375 ] [ 0 0 0 0 ] [ 1 1.00117 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .01926 .50095 m .01926 .5072 L s [(-1)] .01926 .48845 0 1 Mshowa .2586 .50095 m .2586 .5072 L s [(-0.5)] .2586 .48845 0 1 Mshowa .73729 .50095 m .73729 .5072 L s [(0.5)] .73729 .48845 0 1 Mshowa .97663 .50095 m .97663 .5072 L s [(1)] .97663 .48845 0 1 Mshowa .125 Mabswid .06712 .50095 m .06712 .5047 L s .11499 .50095 m .11499 .5047 L s .16286 .50095 m .16286 .5047 L s .21073 .50095 m .21073 .5047 L s .30647 .50095 m .30647 .5047 L s .35434 .50095 m .35434 .5047 L s .40221 .50095 m .40221 .5047 L s .45007 .50095 m .45007 .5047 L s .54581 .50095 m .54581 .5047 L s .59368 .50095 m .59368 .5047 L s .64155 .50095 m .64155 .5047 L s .68942 .50095 m .68942 .5047 L s .78516 .50095 m .78516 .5047 L s .83303 .50095 m .83303 .5047 L s .88089 .50095 m .88089 .5047 L s .92876 .50095 m .92876 .5047 L s .25 Mabswid 0 .50095 m 1 .50095 L s .49794 .02226 m .50419 .02226 L s [(-1)] .48544 .02226 1 0 Mshowa .49794 .2616 m .50419 .2616 L s [(-0.5)] .48544 .2616 1 0 Mshowa .49794 .74029 m .50419 .74029 L s [(0.5)] .48544 .74029 1 0 Mshowa .49794 .97963 m .50419 .97963 L s [(1)] .48544 .97963 1 0 Mshowa .125 Mabswid .49794 .07013 m .50169 .07013 L s .49794 .118 m .50169 .118 L s .49794 .16586 m .50169 .16586 L s .49794 .21373 m .50169 .21373 L s .49794 .30947 m .50169 .30947 L s .49794 .35734 m .50169 .35734 L s .49794 .40521 m .50169 .40521 L s .49794 .45308 m .50169 .45308 L s .49794 .54881 m .50169 .54881 L s .49794 .59668 m .50169 .59668 L s .49794 .64455 m .50169 .64455 L s .49794 .69242 m .50169 .69242 L s .49794 .78816 m .50169 .78816 L s .49794 .83603 m .50169 .83603 L s .49794 .8839 m .50169 .8839 L s .49794 .93176 m .50169 .93176 L s .25 Mabswid .49794 0 m .49794 1.00117 L s gsave .5 1.01367 -69.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 69.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show 75.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Courier grestore 0 0 m 1 0 L 1 1.00117 L 0 1.00117 L closepath clip newpath .015 w .59239 .57187 Mdot .55484 .89069 Mdot .94224 .7533 Mdot .61435 .65785 Mdot .91414 .84265 Mdot .97515 .69075 Mdot .68358 .6246 Mdot .50217 .91293 Mdot .94913 .72129 Mdot .77006 .78855 Mdot .83974 .7322 Mdot .81861 .67127 Mdot .7453 .66128 Mdot .76172 .76021 Mdot .77969 .88762 Mdot .64531 .60331 Mdot .84218 .54591 Mdot .64679 .8922 Mdot .65655 .90094 Mdot .64257 .9589 Mdot .68405 .6806 Mdot .84914 .6713 Mdot .82093 .92803 Mdot .52847 .50098 Mdot .57358 .7677 Mdot .74339 .7204 Mdot .77052 .85972 Mdot .59602 .61804 Mdot .90497 .81475 Mdot .92585 .70547 Mdot .74637 .89344 Mdot .78123 .7262 Mdot .56027 .71379 Mdot .90872 .55584 Mdot .71597 .7654 Mdot .87819 .55581 Mdot .64033 .97733 Mdot .63275 .81504 Mdot .84644 .61856 Mdot .53468 .69795 Mdot .9181 .78344 Mdot .58546 .97211 Mdot .66968 .86963 Mdot .78086 .74686 Mdot .60735 .65679 Mdot .84877 .69196 Mdot .86802 .87102 Mdot .94721 .63709 Mdot .72563 .87333 Mdot .8124 .80169 Mdot .85582 .75571 Mdot .77566 .60469 Mdot .91435 .9519 Mdot .68815 .61221 Mdot .74261 .58321 Mdot .88392 .84499 Mdot .6332 .90606 Mdot .5331 .65397 Mdot .74181 .53598 Mdot .56252 .51782 Mdot .51412 .64229 Mdot .72676 .69577 Mdot .63494 .86622 Mdot .92773 .59203 Mdot .69722 .89395 Mdot .73752 .95946 Mdot .93124 .81168 Mdot .83023 .61542 Mdot .79599 .88526 Mdot .79508 .94108 Mdot .55212 .85022 Mdot .7305 .9242 Mdot .53594 .70887 Mdot .50169 .72937 Mdot .87763 .82229 Mdot .5506 .63829 Mdot .67836 .90797 Mdot .78971 .65847 Mdot .72374 .59723 Mdot .93611 .544 Mdot .90439 .69161 Mdot .63897 .58255 Mdot .85021 .82103 Mdot .88509 .63799 Mdot .81222 .6131 Mdot .88134 .88825 Mdot .91121 .77045 Mdot .82869 .75091 Mdot .7308 .84211 Mdot .53692 .59339 Mdot .505 .74583 Mdot .57745 .55034 Mdot .57724 .55516 Mdot .91511 .94742 Mdot .70366 .71377 Mdot .52796 .81037 Mdot .86808 .60161 Mdot .62325 .90176 Mdot .9335 .8108 Mdot .77119 .6518 Mdot .70064 .94832 Mdot .73221 .55936 Mdot .69358 .70344 Mdot .65271 .50997 Mdot .61428 .64923 Mdot .71423 .54218 Mdot .88725 .91509 Mdot .68421 .71144 Mdot .51711 .81442 Mdot .55891 .78932 Mdot .56025 .50457 Mdot .76435 .63847 Mdot .83624 .53589 Mdot .53008 .58006 Mdot .6406 .81208 Mdot .85401 .57104 Mdot .52426 .6638 Mdot .63772 .5298 Mdot .61365 .72834 Mdot .93014 .79799 Mdot .59448 .89355 Mdot .86918 .50962 Mdot .53217 .88993 Mdot .60277 .85078 Mdot .67256 .85499 Mdot .57063 .77166 Mdot .5299 .54385 Mdot .69326 .70157 Mdot .50358 .85968 Mdot .55348 .67271 Mdot .86657 .63228 Mdot .59996 .85436 Mdot .77003 .71836 Mdot .70742 .84569 Mdot .73581 .80807 Mdot .60259 .97454 Mdot .56119 .93272 Mdot .5299 .70382 Mdot .52923 .88981 Mdot .81327 .5032 Mdot .52359 .53108 Mdot .75774 .81012 Mdot .63366 .87843 Mdot .65572 .9354 Mdot .84026 .66101 Mdot .92493 .59066 Mdot .6024 .83257 Mdot .82029 .59575 Mdot .53915 .87949 Mdot .78834 .87156 Mdot .50786 .96931 Mdot .9517 .8693 Mdot .9609 .93917 Mdot .69191 .56013 Mdot .82519 .56169 Mdot .53413 .60437 Mdot .96156 .88032 Mdot .58583 .51466 Mdot .85711 .54869 Mdot .74217 .89855 Mdot .8159 .64884 Mdot .93046 .52793 Mdot .80598 .65917 Mdot .95539 .63826 Mdot .82171 .69963 Mdot .76143 .57908 Mdot .97315 .63888 Mdot .72524 .95434 Mdot .50954 .7382 Mdot .63736 .94063 Mdot .62906 .69045 Mdot .87182 .54303 Mdot .78979 .54255 Mdot .918 .51604 Mdot .96044 .86302 Mdot .93924 .85741 Mdot .63667 .66433 Mdot .67576 .77928 Mdot .64015 .5264 Mdot .92715 .80458 Mdot .62855 .76783 Mdot .78773 .84358 Mdot .97613 .57833 Mdot .89254 .8015 Mdot .68429 .53672 Mdot .95117 .78641 Mdot .70048 .65334 Mdot .50988 .90863 Mdot .56176 .96864 Mdot .81075 .63029 Mdot .89824 .94318 Mdot .86023 .80535 Mdot .76763 .6763 Mdot .57044 .9414 Mdot .76813 .59891 Mdot .65453 .64085 Mdot .58179 .56314 Mdot .67999 .83407 Mdot .85794 .88943 Mdot .66806 .90508 Mdot .25 g .20176 .90043 Mdot .16195 .77574 Mdot .12337 .93688 Mdot .04555 .95002 Mdot .39306 .76153 Mdot .11805 .50957 Mdot .18456 .66357 Mdot .27464 .84835 Mdot .26841 .60137 Mdot .45669 .51523 Mdot .14972 .69157 Mdot .14812 .58978 Mdot .4459 .77078 Mdot .48411 .79368 Mdot .34179 .81353 Mdot .45781 .82329 Mdot .44668 .55294 Mdot .35902 .81467 Mdot .28137 .86901 Mdot .10363 .94595 Mdot .03223 .76858 Mdot .14488 .93167 Mdot .38045 .57795 Mdot .49471 .84283 Mdot .4325 .78681 Mdot .02986 .5501 Mdot .10996 .95292 Mdot .06999 .70644 Mdot .16123 .90092 Mdot .20891 .8714 Mdot .3778 .53286 Mdot .12454 .90508 Mdot .36483 .74391 Mdot .4776 .95304 Mdot .48232 .66691 Mdot .48083 .61116 Mdot .06908 .85973 Mdot .47023 .562 Mdot .45706 .88645 Mdot .4195 .8352 Mdot .31509 .96516 Mdot .22984 .94343 Mdot .43524 .93325 Mdot .12456 .53929 Mdot .08966 .69028 Mdot .1449 .56588 Mdot .10529 .52432 Mdot .16201 .93436 Mdot .05546 .64422 Mdot .18973 .87331 Mdot .09634 .73741 Mdot .26817 .53906 Mdot .2792 .75188 Mdot .05759 .57526 Mdot .3419 .79826 Mdot .43098 .53691 Mdot .2715 .60893 Mdot .30533 .95066 Mdot .18547 .58555 Mdot .16257 .51725 Mdot .14926 .92096 Mdot .47079 .62358 Mdot .07218 .6845 Mdot .22187 .58547 Mdot .29093 .91226 Mdot .18354 .51115 Mdot .44697 .61494 Mdot .25051 .95387 Mdot .19473 .50696 Mdot .44312 .50415 Mdot .02851 .90104 Mdot .2998 .96654 Mdot .37719 .95971 Mdot .32696 .84391 Mdot .32427 .77615 Mdot .12435 .75939 Mdot .0526 .84353 Mdot .43875 .74918 Mdot .10357 .72954 Mdot .2075 .77495 Mdot .40679 .72353 Mdot .26233 .77174 Mdot .39753 .80212 Mdot .46047 .78483 Mdot .03959 .82205 Mdot .15276 .92056 Mdot .21327 .54684 Mdot .04767 .66212 Mdot .17992 .68294 Mdot .10686 .89257 Mdot .09561 .93304 Mdot .39731 .61857 Mdot .18676 .71046 Mdot .15424 .82647 Mdot .28717 .88797 Mdot .19171 .54258 Mdot .26684 .56687 Mdot .05821 .60165 Mdot .07283 .52097 Mdot .02979 .91917 Mdot .39085 .81767 Mdot .42087 .52755 Mdot .31449 .86426 Mdot .04282 .88861 Mdot .14699 .65475 Mdot .38653 .56309 Mdot .35776 .74642 Mdot .21407 .52146 Mdot .11018 .6805 Mdot .17512 .89944 Mdot .05661 .66047 Mdot .16459 .95991 Mdot .16371 .82244 Mdot .24166 .93331 Mdot .34716 .93781 Mdot .2181 .54564 Mdot .21942 .784 Mdot .32951 .96219 Mdot .35961 .53853 Mdot .1347 .94167 Mdot .26869 .83766 Mdot .45752 .54318 Mdot .23133 .67814 Mdot .31219 .56291 Mdot .08688 .83533 Mdot .08979 .60923 Mdot .23767 .87716 Mdot .36964 .56454 Mdot .0375 .59411 Mdot .05938 .58198 Mdot .17583 .55653 Mdot .42263 .61994 Mdot .40509 .6985 Mdot .46305 .57771 Mdot .19301 .52131 Mdot .17011 .51575 Mdot .12539 .66561 Mdot .09958 .88615 Mdot .38566 .76809 Mdot .22788 .82256 Mdot .36742 .67493 Mdot .18776 .74153 Mdot .21084 .61935 Mdot .26307 .62253 Mdot .3037 .90048 Mdot .29797 .54576 Mdot .12994 .88012 Mdot .14712 .53095 Mdot .02381 .71545 Mdot .0668 .62444 Mdot .13609 .927 Mdot .33686 .78151 Mdot .26661 .75302 Mdot .16836 .54093 Mdot .07502 .63462 Mdot .40323 .89803 Mdot .26927 .71378 Mdot .12452 .85322 Mdot .15858 .81329 Mdot .47534 .82321 Mdot .15403 .59879 Mdot .4278 .69972 Mdot .0372 .65142 Mdot .1102 .89785 Mdot .26853 .87803 Mdot .43978 .85787 Mdot .21276 .74436 Mdot .05581 .93947 Mdot .44144 .53153 Mdot .42923 .58719 Mdot .30211 .69787 Mdot .45183 .74362 Mdot .16734 .60003 Mdot .04329 .54484 Mdot .1494 .92824 Mdot .43103 .62663 Mdot .37881 .55116 Mdot .4892 .74839 Mdot .18531 .78644 Mdot .45264 .78856 Mdot .24181 .75585 Mdot .04266 .70231 Mdot .43764 .55893 Mdot .08877 .93832 Mdot .28956 .93854 Mdot .06474 .89443 Mdot .15942 .51124 Mdot .13165 .76875 Mdot .27854 .93972 Mdot .1404 .5213 Mdot .11249 .65423 Mdot .1857 .71238 Mdot .36862 .87801 Mdot .16229 .51102 Mdot .42893 .82002 Mdot .09277 .55233 Mdot .15862 .86112 Mdot .04729 .63753 Mdot .49715 .85082 Mdot .41358 .84842 Mdot .5 g .23786 .11115 Mdot .29244 .17383 Mdot .14463 .26443 Mdot .12599 .38527 Mdot .27394 .16281 Mdot .46165 .39534 Mdot .34296 .48188 Mdot .38813 .44672 Mdot .2036 .36336 Mdot .3601 .10462 Mdot .20439 .23455 Mdot .44446 .45209 Mdot .46447 .14566 Mdot .17128 .30051 Mdot .3391 .38217 Mdot .06454 .41619 Mdot .08441 .24162 Mdot .10084 .04311 Mdot .23939 .26069 Mdot .21066 .09734 Mdot .05505 .39827 Mdot .3485 .49367 Mdot .34861 .18598 Mdot .40199 .06384 Mdot .38208 .06259 Mdot .24997 .26428 Mdot .06224 .18136 Mdot .20468 .34903 Mdot .47577 .44069 Mdot .1231 .32818 Mdot .25564 .20226 Mdot .41039 .25311 Mdot .21984 .30493 Mdot .08114 .26038 Mdot .36918 .14121 Mdot .17709 .2188 Mdot .48504 .10088 Mdot .42507 .45547 Mdot .44205 .42046 Mdot .23964 .12869 Mdot .46423 .48072 Mdot .1358 .30146 Mdot .22785 .30072 Mdot .22336 .07061 Mdot .02726 .49673 Mdot .16147 .31117 Mdot .15603 .37778 Mdot .48233 .11463 Mdot .16894 .29916 Mdot .07652 .16011 Mdot .22483 .37964 Mdot .33482 .05367 Mdot .25855 .39987 Mdot .21828 .25316 Mdot .04996 .12141 Mdot .49287 .20481 Mdot .04195 .12562 Mdot .35065 .39459 Mdot .38387 .24878 Mdot .36626 .30222 Mdot .23418 .45057 Mdot .309 .16437 Mdot .02861 .09318 Mdot .47213 .13295 Mdot .26801 .19426 Mdot .2731 .38074 Mdot .23731 .09512 Mdot .27818 .19819 Mdot .21461 .47044 Mdot .42548 .30455 Mdot .32869 .24392 Mdot .07847 .02459 Mdot .11376 .2943 Mdot .26741 .36117 Mdot .10441 .22337 Mdot .29323 .25047 Mdot .33434 .05137 Mdot .03938 .37068 Mdot .11629 .4572 Mdot .25914 .19475 Mdot .39962 .4877 Mdot .33161 .39115 Mdot .09019 .26604 Mdot .27239 .38882 Mdot .47437 .47268 Mdot .02424 .04991 Mdot .38922 .27157 Mdot .22896 .30039 Mdot .07414 .24246 Mdot .20884 .43065 Mdot .45579 .2862 Mdot .44764 .25816 Mdot .07543 .29945 Mdot .13529 .36796 Mdot .48318 .05568 Mdot .36084 .48008 Mdot .02806 .08394 Mdot .35586 .45243 Mdot .13678 .31332 Mdot .14616 .1743 Mdot .0819 .09312 Mdot .43526 .2446 Mdot .12405 .30786 Mdot .48556 .48738 Mdot .06788 .03067 Mdot .36953 .14168 Mdot .08264 .47594 Mdot .02794 .16254 Mdot .07384 .41426 Mdot .17003 .21106 Mdot .435 .1232 Mdot .04313 .05901 Mdot .37236 .05234 Mdot .10581 .31536 Mdot .26757 .24542 Mdot .11819 .32893 Mdot .21895 .237 Mdot .24661 .20951 Mdot .15556 .26201 Mdot .23792 .06922 Mdot .10098 .34869 Mdot .08715 .35911 Mdot .16392 .24775 Mdot .06327 .32236 Mdot .2895 .21767 Mdot .45541 .02925 Mdot .04119 .4732 Mdot .35647 .20127 Mdot .32018 .25846 Mdot .12912 .49271 Mdot .18388 .4974 Mdot .38915 .44575 Mdot .10216 .17097 Mdot .32126 .1089 Mdot .43618 .42416 Mdot .27724 .28749 Mdot .16594 .22875 Mdot .31978 .28049 Mdot .14401 .25649 Mdot .46125 .10148 Mdot .32177 .49898 Mdot .35138 .10971 Mdot .15714 .02384 Mdot .46018 .16491 Mdot .07424 .35382 Mdot .15817 .07827 Mdot .136 .4306 Mdot .37888 .29173 Mdot .468 .22411 Mdot .07836 .03349 Mdot .34325 .46857 Mdot .11505 .43296 Mdot .04074 .47054 Mdot .26162 .34551 Mdot .38154 .46896 Mdot .29939 .20287 Mdot .32656 .1374 Mdot .16047 .14686 Mdot .20982 .20775 Mdot .27953 .35608 Mdot .23976 .48458 Mdot .22043 .34484 Mdot .39446 .03827 Mdot .12464 .41283 Mdot .37297 .06867 Mdot .36096 .08957 Mdot .48938 .10066 Mdot .08083 .38765 Mdot .18207 .4642 Mdot .41831 .26305 Mdot .47019 .27872 Mdot .15803 .40791 Mdot .24969 .29509 Mdot .43554 .08533 Mdot .35317 .27908 Mdot .33016 .17345 Mdot .47814 .23266 Mdot .46714 .10614 Mdot .48671 .15426 Mdot .40556 .21943 Mdot .32389 .19101 Mdot .4852 .45733 Mdot .35164 .41324 Mdot .34643 .07167 Mdot .12121 .14041 Mdot .40883 .48729 Mdot .26599 .36228 Mdot .09793 .3361 Mdot .28579 .15187 Mdot .12873 .25222 Mdot .29702 .49855 Mdot .22111 .05505 Mdot .47107 .32981 Mdot .23386 .09867 Mdot .13869 .41752 Mdot .38537 .04925 Mdot .03673 .29937 Mdot .47449 .06291 Mdot .26869 .43803 Mdot .39581 .22775 Mdot .75 g .51505 .30842 Mdot .70955 .47648 Mdot .79282 .31081 Mdot .91141 .44369 Mdot .76595 .48195 Mdot .64732 .36728 Mdot .88538 .08669 Mdot .53475 .34028 Mdot .90285 .28827 Mdot .5113 .29963 Mdot .67359 .35118 Mdot .88785 .09414 Mdot .65649 .06502 Mdot .67625 .1186 Mdot .8403 .25516 Mdot .74147 .17586 Mdot .5723 .27415 Mdot .59209 .30953 Mdot .66355 .20972 Mdot .55528 .47019 Mdot .73733 .42239 Mdot .54192 .19282 Mdot .56169 .09347 Mdot .6307 .12094 Mdot .88183 .0507 Mdot .93108 .0246 Mdot .53948 .29649 Mdot .68756 .34968 Mdot .94381 .04459 Mdot .59342 .0624 Mdot .7782 .33582 Mdot .53609 .09316 Mdot .53881 .41437 Mdot .9708 .40128 Mdot .95376 .34316 Mdot .83804 .3026 Mdot .56987 .31472 Mdot .88359 .30026 Mdot .52833 .04049 Mdot .69397 .45153 Mdot .56115 .49684 Mdot .5985 .41138 Mdot .75958 .18328 Mdot .56035 .34049 Mdot .71872 .26985 Mdot .56619 .44015 Mdot .74159 .42763 Mdot .70478 .15981 Mdot .66967 .13517 Mdot .79782 .3605 Mdot .63928 .11694 Mdot .60179 .40991 Mdot .57607 .12105 Mdot .50124 .49948 Mdot .79312 .43871 Mdot .91752 .18125 Mdot .57234 .19112 Mdot .84928 .24204 Mdot .80738 .26444 Mdot .64244 .10449 Mdot .63566 .15153 Mdot .82125 .24494 Mdot .97301 .05684 Mdot .7174 .33597 Mdot .89489 .43675 Mdot .7141 .33744 Mdot .59971 .49898 Mdot .77322 .17845 Mdot .52531 .33011 Mdot .90057 .43735 Mdot .69456 .08794 Mdot .75608 .35512 Mdot .55685 .43736 Mdot .91145 .13244 Mdot .56047 .40277 Mdot .692 .29741 Mdot .64221 .46697 Mdot .95452 .46092 Mdot .54044 .46894 Mdot .67925 .30472 Mdot .51307 .16108 Mdot .75531 .36832 Mdot .79514 .09541 Mdot .97586 .03545 Mdot .73624 .15899 Mdot .56235 .40396 Mdot .67371 .25717 Mdot .84699 .1288 Mdot .52944 .29114 Mdot .8691 .16883 Mdot .96563 .32315 Mdot .68779 .36506 Mdot .9505 .18432 Mdot .90911 .49769 Mdot .6533 .11118 Mdot .90988 .48449 Mdot .89369 .45313 Mdot .84547 .10279 Mdot .71792 .21822 Mdot .97511 .47493 Mdot .68642 .42802 Mdot .60396 .32836 Mdot .69742 .12713 Mdot .8928 .46425 Mdot .72355 .44375 Mdot .96032 .46751 Mdot .5682 .35483 Mdot .54839 .48396 Mdot .65113 .40265 Mdot .67955 .40343 Mdot .90984 .20669 Mdot .68107 .42944 Mdot .72136 .27962 Mdot .57505 .12334 Mdot .52188 .17475 Mdot .65888 .16004 Mdot .77495 .23195 Mdot .67519 .19348 Mdot .7047 .37806 Mdot .62474 .21046 Mdot .55151 .47635 Mdot .92183 .30798 Mdot .61831 .29192 Mdot .7387 .37948 Mdot .87358 .03456 Mdot .6616 .2784 Mdot .84965 .36075 Mdot .50066 .14062 Mdot .57264 .15106 Mdot .80211 .4481 Mdot .84456 .27395 Mdot .6753 .25989 Mdot .79099 .29855 Mdot .73011 .45286 Mdot .67063 .02889 Mdot .96804 .09564 Mdot .77368 .49528 Mdot .80438 .31818 Mdot .90066 .15678 Mdot .80166 .19982 Mdot .82597 .02798 Mdot .97619 .25267 Mdot .95804 .25497 Mdot .79883 .49372 Mdot .66499 .45737 Mdot .56667 .06311 Mdot .97099 .45075 Mdot .57526 .46842 Mdot .69526 .45642 Mdot .74751 .1725 Mdot .77122 .32189 Mdot .92248 .47363 Mdot .92188 .31617 Mdot .92292 .24322 Mdot .94047 .08346 Mdot .62203 .25045 Mdot .77342 .12703 Mdot .55331 .2096 Mdot .77906 .17723 Mdot .95468 .24212 Mdot .58175 .22176 Mdot .70512 .09187 Mdot .78716 .40082 Mdot .75927 .11919 Mdot .8419 .10691 Mdot .81299 .37691 Mdot .87806 .04571 Mdot .6889 .14872 Mdot .60258 .41962 Mdot .63354 .44007 Mdot .80015 .26465 Mdot .65549 .22021 Mdot .71635 .06515 Mdot .927 .15059 Mdot .90582 .16528 Mdot .66568 .05366 Mdot .56186 .08063 Mdot .82932 .1777 Mdot .66043 .05718 Mdot .63836 .05124 Mdot .55579 .13851 Mdot .50277 .11212 Mdot .73227 .3748 Mdot .82392 .39285 Mdot .51387 .33191 Mdot .87355 .26452 Mdot .58468 .1889 Mdot .70581 .23311 Mdot .52076 .13052 Mdot .85313 .07767 Mdot .83696 .0956 Mdot .71271 .04869 Mdot .77912 .45804 Mdot .70788 .43752 Mdot .54479 .1055 Mdot .86059 .06693 Mdot .52886 .27453 Mdot .96368 .30335 Mdot .92082 .1079 Mdot .75581 .0925 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.522676 0.0113511 0.97619 0.465396 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.506377 0.335809 1.01275 0.335809 [ [.00266 1.00025 -12 -9 ] [.00266 1.00025 12 0 ] [.17057 1.00025 -6 -9 ] [.17057 1.00025 6 0 ] [.33847 1.00025 -12 -9 ] [.33847 1.00025 12 0 ] [.67428 1.00025 -9 -9 ] [.67428 1.00025 9 0 ] [.84219 1.00025 -3 -9 ] [.84219 1.00025 3 0 ] [.49388 .00532 -12 -4.5 ] [.49388 .00532 0 4.5 ] [.49388 .34113 -12 -4.5 ] [.49388 .34113 0 4.5 ] [.49388 .67694 -12 -4.5 ] [.49388 .67694 0 4.5 ] [.49388 1.34856 -6 -4.5 ] [.49388 1.34856 0 4.5 ] [.49388 1.68437 -6 -4.5 ] [.49388 1.68437 0 4.5 ] [.5 2.0125 -20.0625 0 ] [.5 2.0125 20.0625 12.4375 ] [ 0 0 0 0 ] [ 1 2 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .00266 1.01275 m .00266 1.019 L s [(-1.5)] .00266 1.00025 0 1 Mshowa .17057 1.01275 m .17057 1.019 L s [(-1)] .17057 1.00025 0 1 Mshowa .33847 1.01275 m .33847 1.019 L s [(-0.5)] .33847 1.00025 0 1 Mshowa .67428 1.01275 m .67428 1.019 L s [(0.5)] .67428 1.00025 0 1 Mshowa .84219 1.01275 m .84219 1.019 L s [(1)] .84219 1.00025 0 1 Mshowa .125 Mabswid .03624 1.01275 m .03624 1.0165 L s .06982 1.01275 m .06982 1.0165 L s .10341 1.01275 m .10341 1.0165 L s .13699 1.01275 m .13699 1.0165 L s .20415 1.01275 m .20415 1.0165 L s .23773 1.01275 m .23773 1.0165 L s .27131 1.01275 m .27131 1.0165 L s .30489 1.01275 m .30489 1.0165 L s .37205 1.01275 m .37205 1.0165 L s .40563 1.01275 m .40563 1.0165 L s .43921 1.01275 m .43921 1.0165 L s .4728 1.01275 m .4728 1.0165 L s .53996 1.01275 m .53996 1.0165 L s .57354 1.01275 m .57354 1.0165 L s .60712 1.01275 m .60712 1.0165 L s .6407 1.01275 m .6407 1.0165 L s .70786 1.01275 m .70786 1.0165 L s .74144 1.01275 m .74144 1.0165 L s .77502 1.01275 m .77502 1.0165 L s .80861 1.01275 m .80861 1.0165 L s .87577 1.01275 m .87577 1.0165 L s .90935 1.01275 m .90935 1.0165 L s .94293 1.01275 m .94293 1.0165 L s .97651 1.01275 m .97651 1.0165 L s .25 Mabswid 0 1.01275 m 1 1.01275 L s .50638 .00532 m .51263 .00532 L s [(-3)] .49388 .00532 1 0 Mshowa .50638 .34113 m .51263 .34113 L s [(-2)] .49388 .34113 1 0 Mshowa .50638 .67694 m .51263 .67694 L s [(-1)] .49388 .67694 1 0 Mshowa .50638 1.34856 m .51263 1.34856 L s [(1)] .49388 1.34856 1 0 Mshowa .50638 1.68437 m .51263 1.68437 L s [(2)] .49388 1.68437 1 0 Mshowa .125 Mabswid .50638 .07249 m .51013 .07249 L s .50638 .13965 m .51013 .13965 L s .50638 .20681 m .51013 .20681 L s .50638 .27397 m .51013 .27397 L s .50638 .4083 m .51013 .4083 L s .50638 .47546 m .51013 .47546 L s .50638 .54262 m .51013 .54262 L s .50638 .60978 m .51013 .60978 L s .50638 .74411 m .51013 .74411 L s .50638 .81127 m .51013 .81127 L s .50638 .87843 m .51013 .87843 L s .50638 .94559 m .51013 .94559 L s .50638 1.07992 m .51013 1.07992 L s .50638 1.14708 m .51013 1.14708 L s .50638 1.21424 m .51013 1.21424 L s .50638 1.2814 m .51013 1.2814 L s .50638 1.41572 m .51013 1.41572 L s .50638 1.48289 m .51013 1.48289 L s .50638 1.55005 m .51013 1.55005 L s .50638 1.61721 m .51013 1.61721 L s .50638 1.75153 m .51013 1.75153 L s .50638 1.8187 m .51013 1.8187 L s .50638 1.88586 m .51013 1.88586 L s .50638 1.95302 m .51013 1.95302 L s .25 Mabswid .50638 0 m .50638 2 L s gsave .5 2.0125 -81.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (T2) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 75.000000 13.437500 moveto (@) show 81.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 87.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 93.125000 13.437500 moveto (D) show 99.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Math2Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Math2Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Math2Mono %%+ font Courier grestore 0 0 m 1 0 L 1 2 L 0 2 L closepath clip newpath .015 w .58926 1.17851 Mdot .79975 1.5995 Mdot .83925 1.67849 Mdot .65727 1.31455 Mdot .89208 1.78416 Mdot .80691 1.61382 Mdot .65823 1.31647 Mdot .79687 1.59375 Mdot .81921 1.63843 Mdot .80358 1.60716 Mdot .7885 1.57699 Mdot .73834 1.47668 Mdot .70562 1.41123 Mdot .78078 1.56155 Mdot .87646 1.75292 Mdot .62988 1.25976 Mdot .65866 1.31733 Mdot .83306 1.66612 Mdot .84261 1.68523 Mdot .87837 1.75674 Mdot .69768 1.39536 Mdot .74907 1.49814 Mdot .91928 1.83855 Mdot .51711 1.03422 Mdot .72004 1.44008 Mdot .74642 1.49284 Mdot .85367 1.70734 Mdot .62292 1.24584 Mdot .86929 1.73858 Mdot .79995 1.5999 Mdot .86886 1.73772 Mdot .76376 1.52753 Mdot .67755 1.35511 Mdot .68897 1.37795 Mdot .76837 1.53674 Mdot .67824 1.35648 Mdot .89052 1.78103 Mdot .77401 1.54801 Mdot .71113 1.42225 Mdot .65746 1.31493 Mdot .85193 1.70386 Mdot .86761 1.73521 Mdot .82526 1.65051 Mdot .77812 1.55625 Mdot .65408 1.30816 Mdot .76343 1.52686 Mdot .8958 1.7916 Mdot .75947 1.51894 Mdot .84747 1.69494 Mdot .82765 1.6553 Mdot .81063 1.62125 Mdot .67656 1.35313 Mdot .96879 1.93758 Mdot .65115 1.30229 Mdot .64991 1.29982 Mdot .88311 1.76623 Mdot .83802 1.67603 Mdot .62606 1.25212 Mdot .6165 1.23299 Mdot .54087 1.08174 Mdot .61121 1.22242 Mdot .72331 1.44662 Mdot .81067 1.62135 Mdot .72102 1.44205 Mdot .85198 1.70395 Mdot .91207 1.82413 Mdot .87635 1.7527 Mdot .70323 1.40647 Mdot .88052 1.76104 Mdot .91936 1.83872 Mdot .7704 1.5408 Mdot .88487 1.76974 Mdot .66557 1.33114 Mdot .66794 1.33588 Mdot .86498 1.72997 Mdot .6212 1.24239 Mdot .85519 1.71039 Mdot .71922 1.43844 Mdot .65313 1.30625 Mdot .69027 1.38054 Mdot .7827 1.56539 Mdot .61309 1.22618 Mdot .85448 1.70896 Mdot .73831 1.47663 Mdot .69529 1.39058 Mdot .91256 1.82512 Mdot .8404 1.68079 Mdot .79774 1.59548 Mdot .82739 1.65478 Mdot .5849 1.1698 Mdot .68064 1.36128 Mdot .56891 1.13782 Mdot .57222 1.14445 Mdot .96591 1.93182 Mdot .72783 1.45567 Mdot .73397 1.46795 Mdot .70682 1.41365 Mdot .83151 1.66301 Mdot .87652 1.75304 Mdot .70805 1.41609 Mdot .89132 1.78263 Mdot .62952 1.25905 Mdot .71705 1.43411 Mdot .56699 1.13398 Mdot .6512 1.30241 Mdot .61117 1.22234 Mdot .93346 1.86692 Mdot .71938 1.43876 Mdot .73301 1.46603 Mdot .73006 1.46012 Mdot .53078 1.06155 Mdot .6963 1.3926 Mdot .64955 1.2991 Mdot .57315 1.1463 Mdot .77468 1.54937 Mdot .68044 1.36088 Mdot .62986 1.25971 Mdot .57565 1.1513 Mdot .70649 1.41297 Mdot .86636 1.73272 Mdot .81566 1.63132 Mdot .64267 1.28535 Mdot .79126 1.58252 Mdot .78856 1.57712 Mdot .81599 1.63198 Mdot .72179 1.44358 Mdot .54769 1.09537 Mdot .71563 1.43125 Mdot .76002 1.52003 Mdot .64635 1.29271 Mdot .72781 1.45562 Mdot .79009 1.58017 Mdot .75434 1.50868 Mdot .82169 1.64339 Mdot .80526 1.61053 Mdot .87532 1.75064 Mdot .83146 1.66292 Mdot .65991 1.31981 Mdot .79015 1.5803 Mdot .61856 1.23712 Mdot .53651 1.07302 Mdot .81439 1.62879 Mdot .81879 1.63758 Mdot .86649 1.73299 Mdot .73873 1.47747 Mdot .71908 1.43816 Mdot .77566 1.55131 Mdot .68595 1.3719 Mdot .78638 1.57277 Mdot .86823 1.73646 Mdot .83842 1.67684 Mdot .92395 1.8479 Mdot .97619 1.95238 Mdot .61593 1.23186 Mdot .66378 1.32755 Mdot .59162 1.18325 Mdot .93513 1.87027 Mdot .54682 1.09365 Mdot .66585 1.33171 Mdot .87096 1.74193 Mdot .72166 1.44331 Mdot .67702 1.35403 Mdot .72542 1.45084 Mdot .76316 1.52632 Mdot .75932 1.51864 Mdot .65361 1.30721 Mdot .76983 1.53965 Mdot .90417 1.80834 Mdot .67688 1.35376 Mdot .86372 1.72745 Mdot .68531 1.37061 Mdot .66704 1.33408 Mdot .63793 1.27587 Mdot .6643 1.32861 Mdot .9226 1.8452 Mdot .91123 1.82247 Mdot .66966 1.33931 Mdot .76401 1.52801 Mdot .57411 1.14822 Mdot .86993 1.73985 Mdot .73942 1.47883 Mdot .84839 1.69678 Mdot .72839 1.45678 Mdot .85563 1.71126 Mdot .59684 1.19367 Mdot .86561 1.73122 Mdot .68432 1.36865 Mdot .79656 1.59312 Mdot .85685 1.71371 Mdot .70683 1.41367 Mdot .95702 1.91405 Mdot .847 1.694 Mdot .72398 1.44797 Mdot .84079 1.68159 Mdot .66987 1.33975 Mdot .65944 1.31889 Mdot .57942 1.15883 Mdot .80393 1.60785 Mdot .90518 1.81036 Mdot .84955 1.69911 Mdot .25 g .68273 1.36547 Mdot .58129 1.16259 Mdot .68081 1.36162 Mdot .66273 1.32546 Mdot .65239 1.30479 Mdot .37917 .75835 Mdot .51053 1.02107 Mdot .67177 1.34353 Mdot .49632 .99263 Mdot .50193 1.00385 Mdot .51796 1.03592 Mdot .44599 .89198 Mdot .67741 1.35483 Mdot .70688 1.41377 Mdot .67089 1.34177 Mdot .71843 1.43687 Mdot .52487 1.04974 Mdot .67773 1.35547 Mdot .68862 1.37723 Mdot .68025 1.3605 Mdot .53077 1.06154 Mdot .6847 1.3694 Mdot .51919 1.03837 Mdot .74508 1.49017 Mdot .68396 1.36792 Mdot .37667 .75335 Mdot .68735 1.37471 Mdot .50042 1.00085 Mdot .66886 1.33772 Mdot .66488 1.32976 Mdot .48662 .97324 Mdot .65891 1.31782 Mdot .63013 1.26026 Mdot .8164 1.63279 Mdot .61732 1.23464 Mdot .57769 1.15538 Mdot .60764 1.21529 Mdot .53949 1.07897 Mdot .76248 1.52495 Mdot .71334 1.42669 Mdot .7679 1.53579 Mdot .72275 1.4455 Mdot .78765 1.5753 Mdot .40231 .80462 Mdot .49599 .99198 Mdot .4281 .8562 Mdot .38505 .77009 Mdot .6926 1.38519 Mdot .45168 .90337 Mdot .65948 1.31897 Mdot .53139 1.06279 Mdot .45252 .90504 Mdot .60568 1.21137 Mdot .40405 .8081 Mdot .66022 1.32044 Mdot .50812 1.01624 Mdot .5027 1.0054 Mdot .7543 1.5086 Mdot .45613 .91225 Mdot .40018 .80036 Mdot .67872 1.35745 Mdot .58288 1.16576 Mdot .4858 .97161 Mdot .46883 .93767 Mdot .72231 1.44461 Mdot .40325 .80651 Mdot .56846 1.13693 Mdot .73732 1.47464 Mdot .40424 .80847 Mdot .4894 .97879 Mdot .62239 1.24479 Mdot .7635 1.527 Mdot .78585 1.57171 Mdot .687 1.37399 Mdot .63852 1.27705 Mdot .55664 1.11327 Mdot .5905 1.18099 Mdot .65976 1.31952 Mdot .52841 1.05682 Mdot .59672 1.19343 Mdot .63055 1.2611 Mdot .6137 1.2274 Mdot .68244 1.36487 Mdot .69238 1.38477 Mdot .57086 1.14173 Mdot .67967 1.35934 Mdot .43872 .87744 Mdot .4615 .92301 Mdot .5225 1.045 Mdot .64393 1.28787 Mdot .66837 1.33675 Mdot .55359 1.10718 Mdot .5442 1.0884 Mdot .61418 1.22835 Mdot .70395 1.4079 Mdot .42817 .85634 Mdot .47156 .94312 Mdot .42278 .84556 Mdot .37131 .74262 Mdot .63556 1.27112 Mdot .691 1.38199 Mdot .498 .996 Mdot .6969 1.39381 Mdot .61869 1.23738 Mdot .49117 .98235 Mdot .51089 1.02178 Mdot .62941 1.25882 Mdot .4212 .84239 Mdot .49632 .99265 Mdot .67269 1.34539 Mdot .46348 .92697 Mdot .71142 1.42284 Mdot .61467 1.22935 Mdot .71979 1.43958 Mdot .75995 1.51991 Mdot .43957 .87915 Mdot .60725 1.2145 Mdot .77087 1.54173 Mdot .48422 .96843 Mdot .68814 1.37629 Mdot .66217 1.32435 Mdot .52183 1.04365 Mdot .53716 1.07433 Mdot .48469 .96938 Mdot .59677 1.19354 Mdot .43918 .87836 Mdot .679 1.35801 Mdot .50598 1.01196 Mdot .41022 .82045 Mdot .4094 .81879 Mdot .43238 .86477 Mdot .56344 1.12688 Mdot .6124 1.22479 Mdot .54799 1.09598 Mdot .4137 .82741 Mdot .40177 .80354 Mdot .49121 .98243 Mdot .63688 1.27375 Mdot .6544 1.30879 Mdot .63727 1.27454 Mdot .58265 1.16529 Mdot .56635 1.13269 Mdot .48873 .97747 Mdot .50928 1.01857 Mdot .71852 1.43705 Mdot .46767 .93534 Mdot .64329 1.28658 Mdot .40437 .80874 Mdot .49055 .9811 Mdot .44178 .88356 Mdot .67834 1.35668 Mdot .64669 1.29339 Mdot .60207 1.20414 Mdot .41882 .83764 Mdot .45181 .90362 Mdot .75172 1.50344 Mdot .57547 1.15094 Mdot .62252 1.24504 Mdot .60646 1.21292 Mdot .72453 1.44905 Mdot .45438 .90876 Mdot .62122 1.24244 Mdot .45032 .90065 Mdot .64881 1.29761 Mdot .69044 1.38088 Mdot .73636 1.47273 Mdot .5771 1.15421 Mdot .65893 1.31785 Mdot .50801 1.01602 Mdot .54278 1.08556 Mdot .57583 1.15166 Mdot .66044 1.32089 Mdot .45992 .91984 Mdot .3777 .75539 Mdot .68388 1.36776 Mdot .57107 1.14215 Mdot .49982 .99963 Mdot .6769 1.35379 Mdot .59699 1.19399 Mdot .69225 1.3845 Mdot .59536 1.19072 Mdot .48794 .97589 Mdot .5259 1.05181 Mdot .66969 1.33937 Mdot .74026 1.48053 Mdot .63046 1.26093 Mdot .39486 .78971 Mdot .56576 1.13153 Mdot .73723 1.47445 Mdot .39525 .79049 Mdot .47871 .95741 Mdot .54518 1.09036 Mdot .72553 1.45106 Mdot .39571 .79142 Mdot .706 1.41201 Mdot .4003 .80061 Mdot .64002 1.28005 Mdot .44412 .88824 Mdot .75154 1.50309 Mdot .72054 1.44109 Mdot .5 g .1417 .2834 Mdot .20482 .40963 Mdot .21653 .43306 Mdot .29476 .58952 Mdot .19059 .38119 Mdot .41956 .83912 Mdot .43864 .87728 Mdot .42982 .85963 Mdot .30661 .61322 Mdot .17999 .35998 Mdot .21653 .43305 Mdot .45334 .90668 Mdot .24539 .49078 Mdot .25119 .50237 Mdot .36733 .73467 Mdot .2949 .58979 Mdot .1794 .35881 Mdot .04591 .09181 Mdot .24714 .49428 Mdot .12247 .24493 Mdot .279 .558 Mdot .44885 .89771 Mdot .23304 .46608 Mdot .16608 .33216 Mdot .15822 .31644 Mdot .25337 .50674 Mdot .12936 .25871 Mdot .29694 .59389 Mdot .45633 .91266 Mdot .2537 .5074 Mdot .21185 .4237 Mdot .3018 .6036 Mdot .27132 .54264 Mdot .19142 .38284 Mdot .20885 .41769 Mdot .1959 .39181 Mdot .2212 .44239 Mdot .44891 .89782 Mdot .43031 .86063 Mdot .15463 .30926 Mdot .48036 .96072 Mdot .2394 .47881 Mdot .27117 .54235 Mdot .10817 .21634 Mdot .33832 .67665 Mdot .25523 .51045 Mdot .30005 .60009 Mdot .22989 .45978 Mdot .24942 .49883 Mdot .11945 .2389 Mdot .32548 .65096 Mdot .13539 .27077 Mdot .3515 .70299 Mdot .23446 .46891 Mdot .08299 .16597 Mdot .29685 .5937 Mdot .08313 .16626 Mdot .3801 .76019 Mdot .28946 .57893 Mdot .32077 .64155 Mdot .37852 .75704 Mdot .20399 .40797 Mdot .0557 .1114 Mdot .23917 .47834 Mdot .21058 .42116 Mdot .34318 .68637 Mdot .13026 .26052 Mdot .2169 .4338 Mdot .3856 .77119 Mdot .34318 .68636 Mdot .2667 .5334 Mdot .02507 .05013 Mdot .22665 .45331 Mdot .32746 .65491 Mdot .17362 .34723 Mdot .25886 .51771 Mdot .1336 .26721 Mdot .25414 .50829 Mdot .34182 .68363 Mdot .20781 .41562 Mdot .4626 .92519 Mdot .37101 .74202 Mdot .19856 .39712 Mdot .3486 .69721 Mdot .47828 .95656 Mdot .02381 .04762 Mdot .30733 .61465 Mdot .27133 .54266 Mdot .17639 .35277 Mdot .35566 .71132 Mdot .34095 .68189 Mdot .31841 .63683 Mdot .21682 .43364 Mdot .28588 .57176 Mdot .18883 .37766 Mdot .44365 .8873 Mdot .04902 .09804 Mdot .4225 .84501 Mdot .24807 .49614 Mdot .15384 .30767 Mdot .07435 .14869 Mdot .30456 .60911 Mdot .23978 .47956 Mdot .49252 .98503 Mdot .02562 .05124 Mdot .2093 .4186 Mdot .34317 .68633 Mdot .10412 .20824 Mdot .29681 .59361 Mdot .18799 .37599 Mdot .2193 .4386 Mdot .03682 .07364 Mdot .14762 .29523 Mdot .23864 .47728 Mdot .24631 .49262 Mdot .2525 .505 Mdot .22335 .44671 Mdot .21377 .42753 Mdot .21866 .43732 Mdot .11231 .22461 Mdot .26033 .52065 Mdot .26278 .52557 Mdot .21159 .42318 Mdot .22863 .45726 Mdot .23454 .46908 Mdot .16055 .32111 Mdot .3267 .65341 Mdot .24653 .49305 Mdot .27392 .54783 Mdot .37123 .74247 Mdot .39373 .78745 Mdot .42949 .85899 Mdot .13606 .27213 Mdot .16937 .33874 Mdot .43085 .8617 Mdot .27922 .55843 Mdot .19897 .39794 Mdot .28923 .57846 Mdot .21074 .42148 Mdot .21327 .42654 Mdot .4432 .8864 Mdot .18051 .36101 Mdot .05213 .10427 Mdot .25739 .51478 Mdot .25454 .50909 Mdot .09068 .18136 Mdot .33007 .66014 Mdot .31784 .63568 Mdot .30167 .60334 Mdot .03127 .06255 Mdot .4294 .85881 Mdot .32438 .64877 Mdot .32468 .64935 Mdot .31444 .62889 Mdot .44311 .88622 Mdot .22762 .45524 Mdot .19123 .38246 Mdot .1396 .27921 Mdot .19963 .39926 Mdot .32814 .65628 Mdot .40433 .80867 Mdot .29953 .59906 Mdot .1455 .291 Mdot .31362 .62723 Mdot .15929 .31859 Mdot .16974 .33948 Mdot .22256 .44512 Mdot .28059 .56118 Mdot .36981 .73961 Mdot .31155 .62311 Mdot .34074 .68149 Mdot .32188 .64377 Mdot .27488 .54976 Mdot .19292 .38585 Mdot .29995 .5999 Mdot .21778 .43556 Mdot .31122 .62245 Mdot .2186 .43721 Mdot .25923 .51846 Mdot .27648 .55297 Mdot .2279 .4558 Mdot .47131 .94262 Mdot .39353 .78706 Mdot .15209 .30417 Mdot .12131 .24262 Mdot .46554 .93108 Mdot .32774 .65547 Mdot .25042 .50085 Mdot .18708 .37416 Mdot .20239 .40478 Mdot .43422 .86845 Mdot .09647 .19294 Mdot .37689 .75379 Mdot .13154 .26308 Mdot .32184 .64367 Mdot .15002 .30004 Mdot .20319 .40637 Mdot .19086 .38171 Mdot .38183 .76366 Mdot .2789 .55781 Mdot .75 g .37731 .75463 Mdot .56344 1.12687 Mdot .47642 .95285 Mdot .61124 1.22247 Mdot .58706 1.17411 Mdot .465 .93 Mdot .35167 .70333 Mdot .40658 .81316 Mdot .49921 .99841 Mdot .36984 .73967 Mdot .46293 .92585 Mdot .35776 .71551 Mdot .25618 .51236 Mdot .3007 .60139 Mdot .45404 .90807 Mdot .36374 .72749 Mdot .37336 .74671 Mdot .40512 .81023 Mdot .36016 .72033 Mdot .50491 1.00983 Mdot .53524 1.07048 Mdot .30565 .61129 Mdot .24288 .48576 Mdot .28636 .57272 Mdot .32517 .65035 Mdot .32414 .64827 Mdot .37751 .75503 Mdot .46677 .93354 Mdot .34263 .68526 Mdot .23222 .46444 Mdot .48884 .97768 Mdot .23368 .46736 Mdot .45998 .91996 Mdot .60232 1.20464 Mdot .55557 1.11114 Mdot .48652 .97305 Mdot .40096 .80193 Mdot .50086 1.00172 Mdot .19402 .38803 Mdot .54047 1.08094 Mdot .52567 1.05134 Mdot .47882 .95763 Mdot .3753 .7506 Mdot .4157 .8314 Mdot .4217 .84339 Mdot .48766 .97533 Mdot .54041 1.08081 Mdot .33961 .67923 Mdot .31001 .62002 Mdot .51303 1.02607 Mdot .28656 .57313 Mdot .47894 .95788 Mdot .26727 .53454 Mdot .5065 1.013 Mdot .56625 1.13251 Mdot .42927 .85855 Mdot .31512 .63025 Mdot .44798 .89597 Mdot .449 .898 Mdot .27894 .55788 Mdot .30956 .61911 Mdot .44019 .88037 Mdot .36146 .72293 Mdot .46762 .93524 Mdot .60057 1.20114 Mdot .4675 .93499 Mdot .54069 1.08139 Mdot .3767 .75339 Mdot .39614 .79227 Mdot .60299 1.20598 Mdot .28561 .57122 Mdot .49462 .98924 Mdot .48243 .96486 Mdot .3929 .78581 Mdot .45944 .91887 Mdot .43166 .86332 Mdot .53315 1.06629 Mdot .63845 1.27689 Mdot .49883 .99766 Mdot .43232 .86464 Mdot .27326 .54653 Mdot .50361 1.00721 Mdot .32613 .65225 Mdot .34746 .69492 Mdot .35008 .70015 Mdot .46093 .92186 Mdot .39702 .79403 Mdot .36774 .73548 Mdot .37024 .74049 Mdot .40358 .80716 Mdot .54569 1.09139 Mdot .47764 .95527 Mdot .443 .886 Mdot .64831 1.29662 Mdot .28744 .57488 Mdot .63932 1.27865 Mdot .61164 1.22329 Mdot .34896 .69792 Mdot .3852 .77039 Mdot .6555 1.311 Mdot .52133 1.04266 Mdot .42249 .84498 Mdot .31411 .62821 Mdot .61913 1.23827 Mdot .54539 1.09078 Mdot .6451 1.29021 Mdot .42852 .85703 Mdot .51216 1.02431 Mdot .49115 .98231 Mdot .50167 1.00333 Mdot .44443 .88886 Mdot .52045 1.04089 Mdot .42948 .85895 Mdot .26852 .53705 Mdot .28594 .57188 Mdot .32367 .64734 Mdot .41483 .82966 Mdot .35285 .7057 Mdot .49269 .98538 Mdot .34707 .69414 Mdot .50791 1.01583 Mdot .51969 1.03937 Mdot .40196 .80392 Mdot .50562 1.01123 Mdot .31095 .6219 Mdot .40766 .81532 Mdot .53139 1.06278 Mdot .25456 .50911 Mdot .28713 .57425 Mdot .57599 1.15198 Mdot .46872 .93743 Mdot .39948 .79897 Mdot .46718 .93436 Mdot .55408 1.10816 Mdot .23579 .47158 Mdot .38693 .77387 Mdot .59912 1.19823 Mdot .48565 .9713 Mdot .4062 .8124 Mdot .40166 .80332 Mdot .28964 .57928 Mdot .49995 .99991 Mdot .4952 .99041 Mdot .60685 1.21369 Mdot .5344 1.06881 Mdot .22333 .44667 Mdot .63709 1.27417 Mdot .51068 1.02136 Mdot .54435 1.08869 Mdot .3635 .72701 Mdot .47662 .95324 Mdot .63612 1.27225 Mdot .52545 1.05091 Mdot .47464 .94929 Mdot .36872 .73744 Mdot .37417 .74835 Mdot .34069 .68139 Mdot .32141 .64282 Mdot .37789 .75578 Mdot .48501 .97002 Mdot .33992 .67984 Mdot .29207 .58414 Mdot .53758 1.07516 Mdot .33023 .66046 Mdot .3506 .70119 Mdot .52987 1.05974 Mdot .32035 .64069 Mdot .32626 .65252 Mdot .48603 .97206 Mdot .51123 1.02246 Mdot .44661 .89322 Mdot .36469 .72939 Mdot .27726 .55452 Mdot .41109 .82219 Mdot .41396 .82793 Mdot .25143 .50286 Mdot .23394 .46787 Mdot .39585 .79169 Mdot .25206 .50412 Mdot .24015 .4803 Mdot .27241 .54481 Mdot .2353 .4706 Mdot .50008 1.00015 Mdot .54489 1.08977 Mdot .39338 .78676 Mdot .47226 .94453 Mdot .31789 .63578 Mdot .3914 .7828 Mdot .25452 .50904 Mdot .33403 .66805 Mdot .34093 .68187 Mdot .26444 .52888 Mdot .5749 1.14981 Mdot .53552 1.07104 Mdot .24539 .49079 Mdot .3291 .65821 Mdot .35839 .71678 Mdot .53112 1.06224 Mdot .37897 .75794 Mdot .31029 .62058 Mdot MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 137.125}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol00`00Oomoo`13Ool003eoo`D0009oo`03001o ogoo009oo`8008Ioo`D000Aoo`04001oo`000012Ool001Qoo`8mk`Qoo`03?Nmoogoo01moo`03?Nmo ogoo009oo`03001oogoo015oo`03G_Moogoo00ioo`03G_Moogoo00Uoo`03G_Moogoo05]oo`80009o o`03001oogoo045oo`006Goo00Ool0 1EkgOomNmgooG_L02Goo00=NmgooOol0G7oo00Ool00ekgOomoo`0; Ool00ekgOomoo`1LOol00ekgOomoo`0:Ool00`00Oomoo`11Ool003Eoo`05?Nmoogoo?Nl00009Ool0 1000?Nl003g_0Woo00<007ooOol047oo00=NmgooOol00goo00=NmgooOol0JWoo0Ukg2goo0P00@Woo 000MOol00cg_Oomoo`0=Ool013g_Oomoocg_2Woo00Ool50002Ool00`00Oomo o`0;Ool500001Goo001oogoo00000Woo00Goo0`0017oo0P000goo0`0000Eoo`000000 07oo008000Aoo`80009oo`03G_L0000000800003Ool0000000Aoo`8000=oo`H0031oo`005Goo00<0 07ooOol01Woo00Ool00ekgOomo o`11Ool00`00Oomoo`08Ool00`00Oomoo`02Ool00`00Ool00002Ool00`00Oomoo`06Ool00`00G_L0 00020002Ool00`00Oomoo`06Ool01@00Oomoogoo0000Ool00`00Oomoo`04Ool00ekgOomoo`0EOol015kgOomo oekgCgoo0P002Woo1P000Woo0P002Goo00D005kgG_L007oo008000Uoo`D0035oo`004Goo8@0000@m k`00000mk`d000037>L0000000<00003G_L0000000T00003G_L0000002000003G_L0000000P005Uo o`03G_Moogoo045oo`007Woo00@LigooOomoo`8Li`03OolLiacW01eoo`037>Moogoo009oo`03001o ogoo00Moo`03001oogoo00Eoo`03001oogoo01Eoo`03001oogoo06Ioo`9Nmd9oo`006Goo00Moogoo009oo`037>Moogoo00Uoo`037>Moogoo00Moo`037>MooacW00Eoo`037>Moogoo 00Eoo`03001oogoo019oo`03001oogoo00Aoo`03001oogoo00Moo`03001oogoo06Yoo`03001ooekg 045oo`0057oo0QcW47oo00@LigooOolLi`Qoo`037>Moogoo00moo`037>Moogoo009oo`80009oo`03 001oogoo009oo`03001oogoo00eoo`03001oogoo00Eoo`03001oogoo00=oo`04001oo`000007Ool0 0`00Oomoo`1NOol20002G_M0Ool001]oo`037>Moogoo00Ioo`037>Moogoo01Aoo`037>Moogoo00Ao o`8Li`Eoo`03001oogoo00Ioo`03001oogoo01moo`05001oogooOol0001SOol01000Oomooekg@7oo 000QOol00acWOomoo`0;Ool00acWOomoo`02Ool00acWOomoo`03Ool00acWOolLi`09Ool011cWOomo o`0027oo00<007ooOol02Woo00<007ooOol00Woo00<007ooOol01goo00<007ooOol0Jgoo00@007oo OomNmd1oo`005goo00L;Ool00acWOomoo`0GOol00`00Oomoo`0GOol00`00Oomoo`02Ool00`00Oomo o`03Ool00`00Oomoo`02Ool00`00Oomoo`1VOol00`00Oomoo`02Ool00ekgOomoo`0lOol001]oo`03 7>Moogoo015oo`037>Moogoo01Eoo`037>Moo`0000=oo`03001oogoo00Yoo`03001oogoo00aoo`03 001oogoo071oo`03001oogoo00=oo`03G_Moogoo03]oo`00:7oo00Moogoo00=oo`03001oogoo00Qoo`03001oogoo00Qoo`03001oogoo00]oo`05001oo`00 Ool0001ZOol20004Ool2G_LlOol001Qoo`037>Moogoo01=oo`037>Moogoo011oo`037>Moogoo009o o`047>Moogoo000DOol00`00Oomoo`1kOol00`00Oomoo`04Ool00ekgOomoo`0jOol001Ioo`047>Mo ogoo7>L_Ool00`00Oomoo`03Ool00`00Oomoo`0KOol00`00Oomoo`03Ool00`00Ool00006Ool2001N Ool00`00Oomoo`04Ool27>LkOol001Moo`037>Moogoo02moo`<000moo`03001oogoo00Uoo`03001o ogoo01Eoo`03001oogoo05Yoo`03001oogoo00Eoo`03G_Moogoo03Uoo`005Goo00Moogoo025o o`04001oogoo0008Ool20002Ool00`00Oomoo`09Ool00`00Oomoo`02Ool00`00Ool00003Ool00`00 Oomoo`1YOol00`00Oomoo`06Ool00ekgOomoo`0hOol001moo`037>Moogoo02Eoo`037>Moo`0000Eo o`03001oogoo01]oo`05001oogooOol0001UOol30002Ool00`00Oomoo`06Ool27>LiOol001eoo`03 7>Moogoo00]oo`037>Moogoo00aoo`037>Moogoo00aoo`03001oogoo019oo`03001oogoo00Moo`03 001oogoo06eoo`05001oogooOol00009Ool00acWOomoo`0gOol001Uoo`037>MooacW00Uoo`037>Mo ogoo025oo`8000eoo`03001oogoo02Aoo`03001oogoo05Ioo`04001oogooOol20008Ool27>LhOol0 025oo`037>Moogoo00moo`037>Moogoo00Qoo`047>Moogoo7>L7Ool01@00Oomoogoo00005Goo00<0 07ooOol027oo00@007ooOol000Eoo`03001oogoo05ioo`05001oogooOol0000:Ool00acWOomoo`0f Ool001Eoo`047>Moogoo7>L`Ool01@00Oomoogoo00004Goo00<007ooOol067oo00<007ooOol0Fgoo 00D007ooOomoo`0000Yoo`037>Moogoo03Ioo`004goo00Mo ogoo03Eoo`00>7oo0P0017oo00<001cWOol00Woo0`000goo00<007ooOol06Goo00<007ooOol00P00 4Woo00<007ooOol0GGoo00<007ooOol02Goo0QcW=Woo000LOol00acWOomoo`0HOol01000Oomoo`00 0goo0P001Woo00@007ooOol000aoo`03001oogoo01Moo`03001oogoo06Uoo`03001oogoo00Yoo`03 7>Moogoo03Aoo`006goo00Moo`00 009oo`80095oo`03001oogoo00Yoo`03000Ligoo03Aoo`00:Goo00LLi`Moo`047>L000000002Ool00acW0000000NOol00`00Oomoo`03Ool00`00Oomo o`1ZOol2000Moogoo00]oo`047>Moogoo7>L7Ool01000Oomo o`0027oo00<007ooOol00goo00<007ooOol06goo00<007ooOol027oo00<007ooOol01Woo00<007oo Ool0GWoo00<007ooOol02goo0QcW=7oo000DOol00acWOomoo`08Ool00acWOomoo`0FOol20002Ool2 7>L5Ool40002Ool00`00Oomoo`06Ool00`00Oomoo`03Ool00`00Oomoo`07Ool00`00Oomoo`1gOol0 0`00Oomoo`0Moogoo009oo`037>Moogoo00=oo`037>Moogoo 00Aoo`037>Moogoo00]oo`037>Moogoo00=oo`03001oogoo00Eoo`03001oogoo02Aoo`03001oogoo 065oo`03001oogoo00aoo`037>Moogoo039oo`009Goo00DLigooOomooacW00eoo`037>Moogoo00Mo o`057>MoogooOolLi`03Ool2000BOol00`00Oomoo`0IOol01000Oomoo`00Ggoo0P003Woo00<007oo Ool0L007oo035oo`00=goo00Moogoo00Eoo`03001oo`00 00aoo`03001oogoo01Ioo`04001oogoo0002Ool00`00Oomoo`1ROol2000@Ool00acWOomoo`0_Ool0 029oo`037>Moogoo01moo`037>MooacW009oo`03001oogoo08]oo`@00003Ool007oo011oo`80031o o`006Woo00Ool00`00Oomoo`0L01goo00L02Woo00L017oo00LVOol00`00Oomo o`0GOol00`00Oomoo`08Ool00`00Oomoo`1[Ool00`00Oomoo`0EOol00`00Oomoo`0YOol001]oo`04 7>Moogoo7>L2Ool00acWOolLi`08Ool00acWOomoo`0COol00acWOomoo`04Ool20005Ool00`00Oomo o`08Ool00`00Oomoo`1nOol00`00Oomoo`0EOol00`00Oomoo`0YOol001Moo`067>Moogoo7>MooacW 0goo00MooacW00mo o`03001oogoo009oo`8000Eoo`04001oogoo0028Ool00`00Oomoo`0GOol00`00Oomoo`0WOol004Ao o`03001oogoo009oo`8000Yoo`05001oogooOol00022Ool00`00Oomoo`0HOol00`00Oomoo`0VOol0 04Aoo`03001oogoo009oo`03001oogoo091oo`80049oo`00A7oo00<007ooOol00Woo00<007ooOol0 T7oo00<007ooOol0@Goo0013Ool2002GOol00`00Oomoo`11Ool00?moob5oo`00ogoo8Goo003IOol2 000>Ool2000eOol00=Uoo`03001oogoo00ioo`03001oogoo03=oo`00@goo1@0000=oo`00Ool0PGoo 0`000Woo100017oo00<007ooOol01@0000=oo`00Ool01Woo00<007ooOol0Goo003oOolQOol00?moob5oo`00ogoo8Goo003oOolQOol00001 \ \>"], ImageRangeCache->{{{0, 287}, {136.125, 0}} -> {-0.0554274, -0.0238423, 0.0073549, 0.0073549}, {{7.5, 137}, {132.875, 3.1875}} -> {-1.35472, -1.14237, 0.0183691, 0.0183691}, {{149.938, 279.438}, {132.875, 3.1875}} -> {-11.7143, -3.41089, 0.0530129, 0.0530129}}] }, Open ]], Cell[TextData[ "Now the points have been \"flattened\" to a line. To obtain the equation of \ this line, we note that the line contains the origin and the point (1,2) . So \ its equation is y = 2x, or { (x, 2x), x \[Element] \[DoubleStruckCapitalR] \ }."], "Text"], Cell[TextData[{ "Now, we apply ", StyleBox["T5", "Input", FontWeight->"Plain"], " to these points:" }], "Text"], Cell["T5quad[n_] := trans[T5, quad[n]]; ", "Input"], Cell["T5quadPlot[n_] := drawPoints[T5quad[n], (n - 1)/4, 0.015]; ", "Input"], Cell[TextData[ "imageT5 = Show[{Table[T5quadPlot[n], {n, 4}]}, \n PlotLabel -> \ \"T5[\\!\\(TraditionalForm\\`\[DoubleStruckCapitalR]\\^2\\)]\"]; "], "Input"], Cell[CellGroupData[{ Cell["\<\ Show[GraphicsArray[{domain, imageT5}], DisplayFunction -> \ $DisplayFunction]; \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .47675 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 0.0113511 0.47619 [ [ 0 0 0 0 ] [ 1 .47675 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .47675 L 0 .47675 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0113511 0.477324 0.465396 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.497944 0.478688 0.500946 0.478688 [ [.01926 .48845 -6 -9 ] [.01926 .48845 6 0 ] [.2586 .48845 -12 -9 ] [.2586 .48845 12 0 ] [.73729 .48845 -9 -9 ] [.73729 .48845 9 0 ] [.97663 .48845 -3 -9 ] [.97663 .48845 3 0 ] [.48544 .02226 -12 -4.5 ] [.48544 .02226 0 4.5 ] [.48544 .2616 -24 -4.5 ] [.48544 .2616 0 4.5 ] [.48544 .74029 -18 -4.5 ] [.48544 .74029 0 4.5 ] [.48544 .97963 -6 -4.5 ] [.48544 .97963 0 4.5 ] [.5 1.01367 -8.0625 0 ] [.5 1.01367 8.0625 12.4375 ] [ 0 0 0 0 ] [ 1 1.00117 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .01926 .50095 m .01926 .5072 L s [(-1)] .01926 .48845 0 1 Mshowa .2586 .50095 m .2586 .5072 L s [(-0.5)] .2586 .48845 0 1 Mshowa .73729 .50095 m .73729 .5072 L s [(0.5)] .73729 .48845 0 1 Mshowa .97663 .50095 m .97663 .5072 L s [(1)] .97663 .48845 0 1 Mshowa .125 Mabswid .06712 .50095 m .06712 .5047 L s .11499 .50095 m .11499 .5047 L s .16286 .50095 m .16286 .5047 L s .21073 .50095 m .21073 .5047 L s .30647 .50095 m .30647 .5047 L s .35434 .50095 m .35434 .5047 L s .40221 .50095 m .40221 .5047 L s .45007 .50095 m .45007 .5047 L s .54581 .50095 m .54581 .5047 L s .59368 .50095 m .59368 .5047 L s .64155 .50095 m .64155 .5047 L s .68942 .50095 m .68942 .5047 L s .78516 .50095 m .78516 .5047 L s .83303 .50095 m .83303 .5047 L s .88089 .50095 m .88089 .5047 L s .92876 .50095 m .92876 .5047 L s .25 Mabswid 0 .50095 m 1 .50095 L s .49794 .02226 m .50419 .02226 L s [(-1)] .48544 .02226 1 0 Mshowa .49794 .2616 m .50419 .2616 L s [(-0.5)] .48544 .2616 1 0 Mshowa .49794 .74029 m .50419 .74029 L s [(0.5)] .48544 .74029 1 0 Mshowa .49794 .97963 m .50419 .97963 L s [(1)] .48544 .97963 1 0 Mshowa .125 Mabswid .49794 .07013 m .50169 .07013 L s .49794 .118 m .50169 .118 L s .49794 .16586 m .50169 .16586 L s .49794 .21373 m .50169 .21373 L s .49794 .30947 m .50169 .30947 L s .49794 .35734 m .50169 .35734 L s .49794 .40521 m .50169 .40521 L s .49794 .45308 m .50169 .45308 L s .49794 .54881 m .50169 .54881 L s .49794 .59668 m .50169 .59668 L s .49794 .64455 m .50169 .64455 L s .49794 .69242 m .50169 .69242 L s .49794 .78816 m .50169 .78816 L s .49794 .83603 m .50169 .83603 L s .49794 .8839 m .50169 .8839 L s .49794 .93176 m .50169 .93176 L s .25 Mabswid .49794 0 m .49794 1.00117 L s gsave .5 1.01367 -69.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 69.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show 75.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Courier grestore 0 0 m 1 0 L 1 1.00117 L 0 1.00117 L closepath clip newpath .015 w .59239 .57187 Mdot .55484 .89069 Mdot .94224 .7533 Mdot .61435 .65785 Mdot .91414 .84265 Mdot .97515 .69075 Mdot .68358 .6246 Mdot .50217 .91293 Mdot .94913 .72129 Mdot .77006 .78855 Mdot .83974 .7322 Mdot .81861 .67127 Mdot .7453 .66128 Mdot .76172 .76021 Mdot .77969 .88762 Mdot .64531 .60331 Mdot .84218 .54591 Mdot .64679 .8922 Mdot .65655 .90094 Mdot .64257 .9589 Mdot .68405 .6806 Mdot .84914 .6713 Mdot .82093 .92803 Mdot .52847 .50098 Mdot .57358 .7677 Mdot .74339 .7204 Mdot .77052 .85972 Mdot .59602 .61804 Mdot .90497 .81475 Mdot .92585 .70547 Mdot .74637 .89344 Mdot .78123 .7262 Mdot .56027 .71379 Mdot .90872 .55584 Mdot .71597 .7654 Mdot .87819 .55581 Mdot .64033 .97733 Mdot .63275 .81504 Mdot .84644 .61856 Mdot .53468 .69795 Mdot .9181 .78344 Mdot .58546 .97211 Mdot .66968 .86963 Mdot .78086 .74686 Mdot .60735 .65679 Mdot .84877 .69196 Mdot .86802 .87102 Mdot .94721 .63709 Mdot .72563 .87333 Mdot .8124 .80169 Mdot .85582 .75571 Mdot .77566 .60469 Mdot .91435 .9519 Mdot .68815 .61221 Mdot .74261 .58321 Mdot .88392 .84499 Mdot .6332 .90606 Mdot .5331 .65397 Mdot .74181 .53598 Mdot .56252 .51782 Mdot .51412 .64229 Mdot .72676 .69577 Mdot .63494 .86622 Mdot .92773 .59203 Mdot .69722 .89395 Mdot .73752 .95946 Mdot .93124 .81168 Mdot .83023 .61542 Mdot .79599 .88526 Mdot .79508 .94108 Mdot .55212 .85022 Mdot .7305 .9242 Mdot .53594 .70887 Mdot .50169 .72937 Mdot .87763 .82229 Mdot .5506 .63829 Mdot .67836 .90797 Mdot .78971 .65847 Mdot .72374 .59723 Mdot .93611 .544 Mdot .90439 .69161 Mdot .63897 .58255 Mdot .85021 .82103 Mdot .88509 .63799 Mdot .81222 .6131 Mdot .88134 .88825 Mdot .91121 .77045 Mdot .82869 .75091 Mdot .7308 .84211 Mdot .53692 .59339 Mdot .505 .74583 Mdot .57745 .55034 Mdot .57724 .55516 Mdot .91511 .94742 Mdot .70366 .71377 Mdot .52796 .81037 Mdot .86808 .60161 Mdot .62325 .90176 Mdot .9335 .8108 Mdot .77119 .6518 Mdot .70064 .94832 Mdot .73221 .55936 Mdot .69358 .70344 Mdot .65271 .50997 Mdot .61428 .64923 Mdot .71423 .54218 Mdot .88725 .91509 Mdot .68421 .71144 Mdot .51711 .81442 Mdot .55891 .78932 Mdot .56025 .50457 Mdot .76435 .63847 Mdot .83624 .53589 Mdot .53008 .58006 Mdot .6406 .81208 Mdot .85401 .57104 Mdot .52426 .6638 Mdot .63772 .5298 Mdot .61365 .72834 Mdot .93014 .79799 Mdot .59448 .89355 Mdot .86918 .50962 Mdot .53217 .88993 Mdot .60277 .85078 Mdot .67256 .85499 Mdot .57063 .77166 Mdot .5299 .54385 Mdot .69326 .70157 Mdot .50358 .85968 Mdot .55348 .67271 Mdot .86657 .63228 Mdot .59996 .85436 Mdot .77003 .71836 Mdot .70742 .84569 Mdot .73581 .80807 Mdot .60259 .97454 Mdot .56119 .93272 Mdot .5299 .70382 Mdot .52923 .88981 Mdot .81327 .5032 Mdot .52359 .53108 Mdot .75774 .81012 Mdot .63366 .87843 Mdot .65572 .9354 Mdot .84026 .66101 Mdot .92493 .59066 Mdot .6024 .83257 Mdot .82029 .59575 Mdot .53915 .87949 Mdot .78834 .87156 Mdot .50786 .96931 Mdot .9517 .8693 Mdot .9609 .93917 Mdot .69191 .56013 Mdot .82519 .56169 Mdot .53413 .60437 Mdot .96156 .88032 Mdot .58583 .51466 Mdot .85711 .54869 Mdot .74217 .89855 Mdot .8159 .64884 Mdot .93046 .52793 Mdot .80598 .65917 Mdot .95539 .63826 Mdot .82171 .69963 Mdot .76143 .57908 Mdot .97315 .63888 Mdot .72524 .95434 Mdot .50954 .7382 Mdot .63736 .94063 Mdot .62906 .69045 Mdot .87182 .54303 Mdot .78979 .54255 Mdot .918 .51604 Mdot .96044 .86302 Mdot .93924 .85741 Mdot .63667 .66433 Mdot .67576 .77928 Mdot .64015 .5264 Mdot .92715 .80458 Mdot .62855 .76783 Mdot .78773 .84358 Mdot .97613 .57833 Mdot .89254 .8015 Mdot .68429 .53672 Mdot .95117 .78641 Mdot .70048 .65334 Mdot .50988 .90863 Mdot .56176 .96864 Mdot .81075 .63029 Mdot .89824 .94318 Mdot .86023 .80535 Mdot .76763 .6763 Mdot .57044 .9414 Mdot .76813 .59891 Mdot .65453 .64085 Mdot .58179 .56314 Mdot .67999 .83407 Mdot .85794 .88943 Mdot .66806 .90508 Mdot .25 g .20176 .90043 Mdot .16195 .77574 Mdot .12337 .93688 Mdot .04555 .95002 Mdot .39306 .76153 Mdot .11805 .50957 Mdot .18456 .66357 Mdot .27464 .84835 Mdot .26841 .60137 Mdot .45669 .51523 Mdot .14972 .69157 Mdot .14812 .58978 Mdot .4459 .77078 Mdot .48411 .79368 Mdot .34179 .81353 Mdot .45781 .82329 Mdot .44668 .55294 Mdot .35902 .81467 Mdot .28137 .86901 Mdot .10363 .94595 Mdot .03223 .76858 Mdot .14488 .93167 Mdot .38045 .57795 Mdot .49471 .84283 Mdot .4325 .78681 Mdot .02986 .5501 Mdot .10996 .95292 Mdot .06999 .70644 Mdot .16123 .90092 Mdot .20891 .8714 Mdot .3778 .53286 Mdot .12454 .90508 Mdot .36483 .74391 Mdot .4776 .95304 Mdot .48232 .66691 Mdot .48083 .61116 Mdot .06908 .85973 Mdot .47023 .562 Mdot .45706 .88645 Mdot .4195 .8352 Mdot .31509 .96516 Mdot .22984 .94343 Mdot .43524 .93325 Mdot .12456 .53929 Mdot .08966 .69028 Mdot .1449 .56588 Mdot .10529 .52432 Mdot .16201 .93436 Mdot .05546 .64422 Mdot .18973 .87331 Mdot .09634 .73741 Mdot .26817 .53906 Mdot .2792 .75188 Mdot .05759 .57526 Mdot .3419 .79826 Mdot .43098 .53691 Mdot .2715 .60893 Mdot .30533 .95066 Mdot .18547 .58555 Mdot .16257 .51725 Mdot .14926 .92096 Mdot .47079 .62358 Mdot .07218 .6845 Mdot .22187 .58547 Mdot .29093 .91226 Mdot .18354 .51115 Mdot .44697 .61494 Mdot .25051 .95387 Mdot .19473 .50696 Mdot .44312 .50415 Mdot .02851 .90104 Mdot .2998 .96654 Mdot .37719 .95971 Mdot .32696 .84391 Mdot .32427 .77615 Mdot .12435 .75939 Mdot .0526 .84353 Mdot .43875 .74918 Mdot .10357 .72954 Mdot .2075 .77495 Mdot .40679 .72353 Mdot .26233 .77174 Mdot .39753 .80212 Mdot .46047 .78483 Mdot .03959 .82205 Mdot .15276 .92056 Mdot .21327 .54684 Mdot .04767 .66212 Mdot .17992 .68294 Mdot .10686 .89257 Mdot .09561 .93304 Mdot .39731 .61857 Mdot .18676 .71046 Mdot .15424 .82647 Mdot .28717 .88797 Mdot .19171 .54258 Mdot .26684 .56687 Mdot .05821 .60165 Mdot .07283 .52097 Mdot .02979 .91917 Mdot .39085 .81767 Mdot .42087 .52755 Mdot .31449 .86426 Mdot .04282 .88861 Mdot .14699 .65475 Mdot .38653 .56309 Mdot .35776 .74642 Mdot .21407 .52146 Mdot .11018 .6805 Mdot .17512 .89944 Mdot .05661 .66047 Mdot .16459 .95991 Mdot .16371 .82244 Mdot .24166 .93331 Mdot .34716 .93781 Mdot .2181 .54564 Mdot .21942 .784 Mdot .32951 .96219 Mdot .35961 .53853 Mdot .1347 .94167 Mdot .26869 .83766 Mdot .45752 .54318 Mdot .23133 .67814 Mdot .31219 .56291 Mdot .08688 .83533 Mdot .08979 .60923 Mdot .23767 .87716 Mdot .36964 .56454 Mdot .0375 .59411 Mdot .05938 .58198 Mdot .17583 .55653 Mdot .42263 .61994 Mdot .40509 .6985 Mdot .46305 .57771 Mdot .19301 .52131 Mdot .17011 .51575 Mdot .12539 .66561 Mdot .09958 .88615 Mdot .38566 .76809 Mdot .22788 .82256 Mdot .36742 .67493 Mdot .18776 .74153 Mdot .21084 .61935 Mdot .26307 .62253 Mdot .3037 .90048 Mdot .29797 .54576 Mdot .12994 .88012 Mdot .14712 .53095 Mdot .02381 .71545 Mdot .0668 .62444 Mdot .13609 .927 Mdot .33686 .78151 Mdot .26661 .75302 Mdot .16836 .54093 Mdot .07502 .63462 Mdot .40323 .89803 Mdot .26927 .71378 Mdot .12452 .85322 Mdot .15858 .81329 Mdot .47534 .82321 Mdot .15403 .59879 Mdot .4278 .69972 Mdot .0372 .65142 Mdot .1102 .89785 Mdot .26853 .87803 Mdot .43978 .85787 Mdot .21276 .74436 Mdot .05581 .93947 Mdot .44144 .53153 Mdot .42923 .58719 Mdot .30211 .69787 Mdot .45183 .74362 Mdot .16734 .60003 Mdot .04329 .54484 Mdot .1494 .92824 Mdot .43103 .62663 Mdot .37881 .55116 Mdot .4892 .74839 Mdot .18531 .78644 Mdot .45264 .78856 Mdot .24181 .75585 Mdot .04266 .70231 Mdot .43764 .55893 Mdot .08877 .93832 Mdot .28956 .93854 Mdot .06474 .89443 Mdot .15942 .51124 Mdot .13165 .76875 Mdot .27854 .93972 Mdot .1404 .5213 Mdot .11249 .65423 Mdot .1857 .71238 Mdot .36862 .87801 Mdot .16229 .51102 Mdot .42893 .82002 Mdot .09277 .55233 Mdot .15862 .86112 Mdot .04729 .63753 Mdot .49715 .85082 Mdot .41358 .84842 Mdot .5 g .23786 .11115 Mdot .29244 .17383 Mdot .14463 .26443 Mdot .12599 .38527 Mdot .27394 .16281 Mdot .46165 .39534 Mdot .34296 .48188 Mdot .38813 .44672 Mdot .2036 .36336 Mdot .3601 .10462 Mdot .20439 .23455 Mdot .44446 .45209 Mdot .46447 .14566 Mdot .17128 .30051 Mdot .3391 .38217 Mdot .06454 .41619 Mdot .08441 .24162 Mdot .10084 .04311 Mdot .23939 .26069 Mdot .21066 .09734 Mdot .05505 .39827 Mdot .3485 .49367 Mdot .34861 .18598 Mdot .40199 .06384 Mdot .38208 .06259 Mdot .24997 .26428 Mdot .06224 .18136 Mdot .20468 .34903 Mdot .47577 .44069 Mdot .1231 .32818 Mdot .25564 .20226 Mdot .41039 .25311 Mdot .21984 .30493 Mdot .08114 .26038 Mdot .36918 .14121 Mdot .17709 .2188 Mdot .48504 .10088 Mdot .42507 .45547 Mdot .44205 .42046 Mdot .23964 .12869 Mdot .46423 .48072 Mdot .1358 .30146 Mdot .22785 .30072 Mdot .22336 .07061 Mdot .02726 .49673 Mdot .16147 .31117 Mdot .15603 .37778 Mdot .48233 .11463 Mdot .16894 .29916 Mdot .07652 .16011 Mdot .22483 .37964 Mdot .33482 .05367 Mdot .25855 .39987 Mdot .21828 .25316 Mdot .04996 .12141 Mdot .49287 .20481 Mdot .04195 .12562 Mdot .35065 .39459 Mdot .38387 .24878 Mdot .36626 .30222 Mdot .23418 .45057 Mdot .309 .16437 Mdot .02861 .09318 Mdot .47213 .13295 Mdot .26801 .19426 Mdot .2731 .38074 Mdot .23731 .09512 Mdot .27818 .19819 Mdot .21461 .47044 Mdot .42548 .30455 Mdot .32869 .24392 Mdot .07847 .02459 Mdot .11376 .2943 Mdot .26741 .36117 Mdot .10441 .22337 Mdot .29323 .25047 Mdot .33434 .05137 Mdot .03938 .37068 Mdot .11629 .4572 Mdot .25914 .19475 Mdot .39962 .4877 Mdot .33161 .39115 Mdot .09019 .26604 Mdot .27239 .38882 Mdot .47437 .47268 Mdot .02424 .04991 Mdot .38922 .27157 Mdot .22896 .30039 Mdot .07414 .24246 Mdot .20884 .43065 Mdot .45579 .2862 Mdot .44764 .25816 Mdot .07543 .29945 Mdot .13529 .36796 Mdot .48318 .05568 Mdot .36084 .48008 Mdot .02806 .08394 Mdot .35586 .45243 Mdot .13678 .31332 Mdot .14616 .1743 Mdot .0819 .09312 Mdot .43526 .2446 Mdot .12405 .30786 Mdot .48556 .48738 Mdot .06788 .03067 Mdot .36953 .14168 Mdot .08264 .47594 Mdot .02794 .16254 Mdot .07384 .41426 Mdot .17003 .21106 Mdot .435 .1232 Mdot .04313 .05901 Mdot .37236 .05234 Mdot .10581 .31536 Mdot .26757 .24542 Mdot .11819 .32893 Mdot .21895 .237 Mdot .24661 .20951 Mdot .15556 .26201 Mdot .23792 .06922 Mdot .10098 .34869 Mdot .08715 .35911 Mdot .16392 .24775 Mdot .06327 .32236 Mdot .2895 .21767 Mdot .45541 .02925 Mdot .04119 .4732 Mdot .35647 .20127 Mdot .32018 .25846 Mdot .12912 .49271 Mdot .18388 .4974 Mdot .38915 .44575 Mdot .10216 .17097 Mdot .32126 .1089 Mdot .43618 .42416 Mdot .27724 .28749 Mdot .16594 .22875 Mdot .31978 .28049 Mdot .14401 .25649 Mdot .46125 .10148 Mdot .32177 .49898 Mdot .35138 .10971 Mdot .15714 .02384 Mdot .46018 .16491 Mdot .07424 .35382 Mdot .15817 .07827 Mdot .136 .4306 Mdot .37888 .29173 Mdot .468 .22411 Mdot .07836 .03349 Mdot .34325 .46857 Mdot .11505 .43296 Mdot .04074 .47054 Mdot .26162 .34551 Mdot .38154 .46896 Mdot .29939 .20287 Mdot .32656 .1374 Mdot .16047 .14686 Mdot .20982 .20775 Mdot .27953 .35608 Mdot .23976 .48458 Mdot .22043 .34484 Mdot .39446 .03827 Mdot .12464 .41283 Mdot .37297 .06867 Mdot .36096 .08957 Mdot .48938 .10066 Mdot .08083 .38765 Mdot .18207 .4642 Mdot .41831 .26305 Mdot .47019 .27872 Mdot .15803 .40791 Mdot .24969 .29509 Mdot .43554 .08533 Mdot .35317 .27908 Mdot .33016 .17345 Mdot .47814 .23266 Mdot .46714 .10614 Mdot .48671 .15426 Mdot .40556 .21943 Mdot .32389 .19101 Mdot .4852 .45733 Mdot .35164 .41324 Mdot .34643 .07167 Mdot .12121 .14041 Mdot .40883 .48729 Mdot .26599 .36228 Mdot .09793 .3361 Mdot .28579 .15187 Mdot .12873 .25222 Mdot .29702 .49855 Mdot .22111 .05505 Mdot .47107 .32981 Mdot .23386 .09867 Mdot .13869 .41752 Mdot .38537 .04925 Mdot .03673 .29937 Mdot .47449 .06291 Mdot .26869 .43803 Mdot .39581 .22775 Mdot .75 g .51505 .30842 Mdot .70955 .47648 Mdot .79282 .31081 Mdot .91141 .44369 Mdot .76595 .48195 Mdot .64732 .36728 Mdot .88538 .08669 Mdot .53475 .34028 Mdot .90285 .28827 Mdot .5113 .29963 Mdot .67359 .35118 Mdot .88785 .09414 Mdot .65649 .06502 Mdot .67625 .1186 Mdot .8403 .25516 Mdot .74147 .17586 Mdot .5723 .27415 Mdot .59209 .30953 Mdot .66355 .20972 Mdot .55528 .47019 Mdot .73733 .42239 Mdot .54192 .19282 Mdot .56169 .09347 Mdot .6307 .12094 Mdot .88183 .0507 Mdot .93108 .0246 Mdot .53948 .29649 Mdot .68756 .34968 Mdot .94381 .04459 Mdot .59342 .0624 Mdot .7782 .33582 Mdot .53609 .09316 Mdot .53881 .41437 Mdot .9708 .40128 Mdot .95376 .34316 Mdot .83804 .3026 Mdot .56987 .31472 Mdot .88359 .30026 Mdot .52833 .04049 Mdot .69397 .45153 Mdot .56115 .49684 Mdot .5985 .41138 Mdot .75958 .18328 Mdot .56035 .34049 Mdot .71872 .26985 Mdot .56619 .44015 Mdot .74159 .42763 Mdot .70478 .15981 Mdot .66967 .13517 Mdot .79782 .3605 Mdot .63928 .11694 Mdot .60179 .40991 Mdot .57607 .12105 Mdot .50124 .49948 Mdot .79312 .43871 Mdot .91752 .18125 Mdot .57234 .19112 Mdot .84928 .24204 Mdot .80738 .26444 Mdot .64244 .10449 Mdot .63566 .15153 Mdot .82125 .24494 Mdot .97301 .05684 Mdot .7174 .33597 Mdot .89489 .43675 Mdot .7141 .33744 Mdot .59971 .49898 Mdot .77322 .17845 Mdot .52531 .33011 Mdot .90057 .43735 Mdot .69456 .08794 Mdot .75608 .35512 Mdot .55685 .43736 Mdot .91145 .13244 Mdot .56047 .40277 Mdot .692 .29741 Mdot .64221 .46697 Mdot .95452 .46092 Mdot .54044 .46894 Mdot .67925 .30472 Mdot .51307 .16108 Mdot .75531 .36832 Mdot .79514 .09541 Mdot .97586 .03545 Mdot .73624 .15899 Mdot .56235 .40396 Mdot .67371 .25717 Mdot .84699 .1288 Mdot .52944 .29114 Mdot .8691 .16883 Mdot .96563 .32315 Mdot .68779 .36506 Mdot .9505 .18432 Mdot .90911 .49769 Mdot .6533 .11118 Mdot .90988 .48449 Mdot .89369 .45313 Mdot .84547 .10279 Mdot .71792 .21822 Mdot .97511 .47493 Mdot .68642 .42802 Mdot .60396 .32836 Mdot .69742 .12713 Mdot .8928 .46425 Mdot .72355 .44375 Mdot .96032 .46751 Mdot .5682 .35483 Mdot .54839 .48396 Mdot .65113 .40265 Mdot .67955 .40343 Mdot .90984 .20669 Mdot .68107 .42944 Mdot .72136 .27962 Mdot .57505 .12334 Mdot .52188 .17475 Mdot .65888 .16004 Mdot .77495 .23195 Mdot .67519 .19348 Mdot .7047 .37806 Mdot .62474 .21046 Mdot .55151 .47635 Mdot .92183 .30798 Mdot .61831 .29192 Mdot .7387 .37948 Mdot .87358 .03456 Mdot .6616 .2784 Mdot .84965 .36075 Mdot .50066 .14062 Mdot .57264 .15106 Mdot .80211 .4481 Mdot .84456 .27395 Mdot .6753 .25989 Mdot .79099 .29855 Mdot .73011 .45286 Mdot .67063 .02889 Mdot .96804 .09564 Mdot .77368 .49528 Mdot .80438 .31818 Mdot .90066 .15678 Mdot .80166 .19982 Mdot .82597 .02798 Mdot .97619 .25267 Mdot .95804 .25497 Mdot .79883 .49372 Mdot .66499 .45737 Mdot .56667 .06311 Mdot .97099 .45075 Mdot .57526 .46842 Mdot .69526 .45642 Mdot .74751 .1725 Mdot .77122 .32189 Mdot .92248 .47363 Mdot .92188 .31617 Mdot .92292 .24322 Mdot .94047 .08346 Mdot .62203 .25045 Mdot .77342 .12703 Mdot .55331 .2096 Mdot .77906 .17723 Mdot .95468 .24212 Mdot .58175 .22176 Mdot .70512 .09187 Mdot .78716 .40082 Mdot .75927 .11919 Mdot .8419 .10691 Mdot .81299 .37691 Mdot .87806 .04571 Mdot .6889 .14872 Mdot .60258 .41962 Mdot .63354 .44007 Mdot .80015 .26465 Mdot .65549 .22021 Mdot .71635 .06515 Mdot .927 .15059 Mdot .90582 .16528 Mdot .66568 .05366 Mdot .56186 .08063 Mdot .82932 .1777 Mdot .66043 .05718 Mdot .63836 .05124 Mdot .55579 .13851 Mdot .50277 .11212 Mdot .73227 .3748 Mdot .82392 .39285 Mdot .51387 .33191 Mdot .87355 .26452 Mdot .58468 .1889 Mdot .70581 .23311 Mdot .52076 .13052 Mdot .85313 .07767 Mdot .83696 .0956 Mdot .71271 .04869 Mdot .77912 .45804 Mdot .70788 .43752 Mdot .54479 .1055 Mdot .86059 .06693 Mdot .52886 .27453 Mdot .96368 .30335 Mdot .92082 .1079 Mdot .75581 .0925 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.522676 0.0113511 0.97619 0.465396 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.497944 0.478688 0.502622 0.478688 [ [.01926 .49012 -6 -9 ] [.01926 .49012 6 0 ] [.2586 .49012 -12 -9 ] [.2586 .49012 12 0 ] [.73729 .49012 -9 -9 ] [.73729 .49012 9 0 ] [.97663 .49012 -3 -9 ] [.97663 .49012 3 0 ] [.48544 .02393 -12 -4.5 ] [.48544 .02393 0 4.5 ] [.48544 .26328 -24 -4.5 ] [.48544 .26328 0 4.5 ] [.48544 .74197 -18 -4.5 ] [.48544 .74197 0 4.5 ] [.48544 .98131 -6 -4.5 ] [.48544 .98131 0 4.5 ] [.5 1.01774 -20.0625 0 ] [.5 1.01774 20.0625 12.4375 ] [ 0 0 0 0 ] [ 1 1.00524 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .01926 .50262 m .01926 .50887 L s [(-1)] .01926 .49012 0 1 Mshowa .2586 .50262 m .2586 .50887 L s [(-0.5)] .2586 .49012 0 1 Mshowa .73729 .50262 m .73729 .50887 L s [(0.5)] .73729 .49012 0 1 Mshowa .97663 .50262 m .97663 .50887 L s [(1)] .97663 .49012 0 1 Mshowa .125 Mabswid .06712 .50262 m .06712 .50637 L s .11499 .50262 m .11499 .50637 L s .16286 .50262 m .16286 .50637 L s .21073 .50262 m .21073 .50637 L s .30647 .50262 m .30647 .50637 L s .35434 .50262 m .35434 .50637 L s .40221 .50262 m .40221 .50637 L s .45007 .50262 m .45007 .50637 L s .54581 .50262 m .54581 .50637 L s .59368 .50262 m .59368 .50637 L s .64155 .50262 m .64155 .50637 L s .68942 .50262 m .68942 .50637 L s .78516 .50262 m .78516 .50637 L s .83303 .50262 m .83303 .50637 L s .88089 .50262 m .88089 .50637 L s .92876 .50262 m .92876 .50637 L s .25 Mabswid 0 .50262 m 1 .50262 L s .49794 .02393 m .50419 .02393 L s [(-1)] .48544 .02393 1 0 Mshowa .49794 .26328 m .50419 .26328 L s [(-0.5)] .48544 .26328 1 0 Mshowa .49794 .74197 m .50419 .74197 L s [(0.5)] .48544 .74197 1 0 Mshowa .49794 .98131 m .50419 .98131 L s [(1)] .48544 .98131 1 0 Mshowa .125 Mabswid .49794 .0718 m .50169 .0718 L s .49794 .11967 m .50169 .11967 L s .49794 .16754 m .50169 .16754 L s .49794 .21541 m .50169 .21541 L s .49794 .31115 m .50169 .31115 L s .49794 .35902 m .50169 .35902 L s .49794 .40688 m .50169 .40688 L s .49794 .45475 m .50169 .45475 L s .49794 .55049 m .50169 .55049 L s .49794 .59836 m .50169 .59836 L s .49794 .64623 m .50169 .64623 L s .49794 .6941 m .50169 .6941 L s .49794 .78983 m .50169 .78983 L s .49794 .8377 m .50169 .8377 L s .49794 .88557 m .50169 .88557 L s .49794 .93344 m .50169 .93344 L s .25 Mabswid .49794 0 m .49794 1.00524 L s gsave .5 1.01774 -81.0625 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.4375 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.437500 moveto 558.000000 16.437500 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.437500 lineto closepath clip newpath 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (T5) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 75.000000 13.437500 moveto (@) show 81.000000 13.437500 moveto %%IncludeResource: font Math5Mono %%IncludeFont: Math5Mono /Math5Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (\\321) show 87.875000 9.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 7.125000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (2) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 93.125000 13.437500 moveto (D) show 99.125000 13.437500 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Math5Mono %%+ font Math2Mono %%+ font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Math5Mono %%+ Math2Mono %%+ Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Math5Mono %%+ font Math2Mono %%+ font Courier grestore 0 0 m 1 0 L 1 1.00524 L 0 1.00524 L closepath clip newpath .015 w .59239 .50262 Mdot .55484 .50262 Mdot .94224 .50262 Mdot .61435 .50262 Mdot .91414 .50262 Mdot .97515 .50262 Mdot .68358 .50262 Mdot .50217 .50262 Mdot .94913 .50262 Mdot .77006 .50262 Mdot .83974 .50262 Mdot .81861 .50262 Mdot .7453 .50262 Mdot .76172 .50262 Mdot .77969 .50262 Mdot .64531 .50262 Mdot .84218 .50262 Mdot .64679 .50262 Mdot .65655 .50262 Mdot .64257 .50262 Mdot .68405 .50262 Mdot .84914 .50262 Mdot .82093 .50262 Mdot .52847 .50262 Mdot .57358 .50262 Mdot .74339 .50262 Mdot .77052 .50262 Mdot .59602 .50262 Mdot .90497 .50262 Mdot .92585 .50262 Mdot .74637 .50262 Mdot .78123 .50262 Mdot .56027 .50262 Mdot .90872 .50262 Mdot .71597 .50262 Mdot .87819 .50262 Mdot .64033 .50262 Mdot .63275 .50262 Mdot .84644 .50262 Mdot .53468 .50262 Mdot .9181 .50262 Mdot .58546 .50262 Mdot .66968 .50262 Mdot .78086 .50262 Mdot .60735 .50262 Mdot .84877 .50262 Mdot .86802 .50262 Mdot .94721 .50262 Mdot .72563 .50262 Mdot .8124 .50262 Mdot .85582 .50262 Mdot .77566 .50262 Mdot .91435 .50262 Mdot .68815 .50262 Mdot .74261 .50262 Mdot .88392 .50262 Mdot .6332 .50262 Mdot .5331 .50262 Mdot .74181 .50262 Mdot .56252 .50262 Mdot .51412 .50262 Mdot .72676 .50262 Mdot .63494 .50262 Mdot .92773 .50262 Mdot .69722 .50262 Mdot .73752 .50262 Mdot .93124 .50262 Mdot .83023 .50262 Mdot .79599 .50262 Mdot .79508 .50262 Mdot .55212 .50262 Mdot .7305 .50262 Mdot .53594 .50262 Mdot .50169 .50262 Mdot .87763 .50262 Mdot .5506 .50262 Mdot .67836 .50262 Mdot .78971 .50262 Mdot .72374 .50262 Mdot .93611 .50262 Mdot .90439 .50262 Mdot .63897 .50262 Mdot .85021 .50262 Mdot .88509 .50262 Mdot .81222 .50262 Mdot .88134 .50262 Mdot .91121 .50262 Mdot .82869 .50262 Mdot .7308 .50262 Mdot .53692 .50262 Mdot .505 .50262 Mdot .57745 .50262 Mdot .57724 .50262 Mdot .91511 .50262 Mdot .70366 .50262 Mdot .52796 .50262 Mdot .86808 .50262 Mdot .62325 .50262 Mdot .9335 .50262 Mdot .77119 .50262 Mdot .70064 .50262 Mdot .73221 .50262 Mdot .69358 .50262 Mdot .65271 .50262 Mdot .61428 .50262 Mdot .71423 .50262 Mdot .88725 .50262 Mdot .68421 .50262 Mdot .51711 .50262 Mdot .55891 .50262 Mdot .56025 .50262 Mdot .76435 .50262 Mdot .83624 .50262 Mdot .53008 .50262 Mdot .6406 .50262 Mdot .85401 .50262 Mdot .52426 .50262 Mdot .63772 .50262 Mdot .61365 .50262 Mdot .93014 .50262 Mdot .59448 .50262 Mdot .86918 .50262 Mdot .53217 .50262 Mdot .60277 .50262 Mdot .67256 .50262 Mdot .57063 .50262 Mdot .5299 .50262 Mdot .69326 .50262 Mdot .50358 .50262 Mdot .55348 .50262 Mdot .86657 .50262 Mdot .59996 .50262 Mdot .77003 .50262 Mdot .70742 .50262 Mdot .73581 .50262 Mdot .60259 .50262 Mdot .56119 .50262 Mdot .5299 .50262 Mdot .52923 .50262 Mdot .81327 .50262 Mdot .52359 .50262 Mdot .75774 .50262 Mdot .63366 .50262 Mdot .65572 .50262 Mdot .84026 .50262 Mdot .92493 .50262 Mdot .6024 .50262 Mdot .82029 .50262 Mdot .53915 .50262 Mdot .78834 .50262 Mdot .50786 .50262 Mdot .9517 .50262 Mdot .9609 .50262 Mdot .69191 .50262 Mdot .82519 .50262 Mdot .53413 .50262 Mdot .96156 .50262 Mdot .58583 .50262 Mdot .85711 .50262 Mdot .74217 .50262 Mdot .8159 .50262 Mdot .93046 .50262 Mdot .80598 .50262 Mdot .95539 .50262 Mdot .82171 .50262 Mdot .76143 .50262 Mdot .97315 .50262 Mdot .72524 .50262 Mdot .50954 .50262 Mdot .63736 .50262 Mdot .62906 .50262 Mdot .87182 .50262 Mdot .78979 .50262 Mdot .918 .50262 Mdot .96044 .50262 Mdot .93924 .50262 Mdot .63667 .50262 Mdot .67576 .50262 Mdot .64015 .50262 Mdot .92715 .50262 Mdot .62855 .50262 Mdot .78773 .50262 Mdot .97613 .50262 Mdot .89254 .50262 Mdot .68429 .50262 Mdot .95117 .50262 Mdot .70048 .50262 Mdot .50988 .50262 Mdot .56176 .50262 Mdot .81075 .50262 Mdot .89824 .50262 Mdot .86023 .50262 Mdot .76763 .50262 Mdot .57044 .50262 Mdot .76813 .50262 Mdot .65453 .50262 Mdot .58179 .50262 Mdot .67999 .50262 Mdot .85794 .50262 Mdot .66806 .50262 Mdot .25 g .20176 .50262 Mdot .16195 .50262 Mdot .12337 .50262 Mdot .04555 .50262 Mdot .39306 .50262 Mdot .11805 .50262 Mdot .18456 .50262 Mdot .27464 .50262 Mdot .26841 .50262 Mdot .45669 .50262 Mdot .14972 .50262 Mdot .14812 .50262 Mdot .4459 .50262 Mdot .48411 .50262 Mdot .34179 .50262 Mdot .45781 .50262 Mdot .44668 .50262 Mdot .35902 .50262 Mdot .28137 .50262 Mdot .10363 .50262 Mdot .03223 .50262 Mdot .14488 .50262 Mdot .38045 .50262 Mdot .49471 .50262 Mdot .4325 .50262 Mdot .02986 .50262 Mdot .10996 .50262 Mdot .06999 .50262 Mdot .16123 .50262 Mdot .20891 .50262 Mdot .3778 .50262 Mdot .12454 .50262 Mdot .36483 .50262 Mdot .4776 .50262 Mdot .48232 .50262 Mdot .48083 .50262 Mdot .06908 .50262 Mdot .47023 .50262 Mdot .45706 .50262 Mdot .4195 .50262 Mdot .31509 .50262 Mdot .22984 .50262 Mdot .43524 .50262 Mdot .12456 .50262 Mdot .08966 .50262 Mdot .1449 .50262 Mdot .10529 .50262 Mdot .16201 .50262 Mdot .05546 .50262 Mdot .18973 .50262 Mdot .09634 .50262 Mdot .26817 .50262 Mdot .2792 .50262 Mdot .05759 .50262 Mdot .3419 .50262 Mdot .43098 .50262 Mdot .2715 .50262 Mdot .30533 .50262 Mdot .18547 .50262 Mdot .16257 .50262 Mdot .14926 .50262 Mdot .47079 .50262 Mdot .07218 .50262 Mdot .22187 .50262 Mdot .29093 .50262 Mdot .18354 .50262 Mdot .44697 .50262 Mdot .25051 .50262 Mdot .19473 .50262 Mdot .44312 .50262 Mdot .02851 .50262 Mdot .2998 .50262 Mdot .37719 .50262 Mdot .32696 .50262 Mdot .32427 .50262 Mdot .12435 .50262 Mdot .0526 .50262 Mdot .43875 .50262 Mdot .10357 .50262 Mdot .2075 .50262 Mdot .40679 .50262 Mdot .26233 .50262 Mdot .39753 .50262 Mdot .46047 .50262 Mdot .03959 .50262 Mdot .15276 .50262 Mdot .21327 .50262 Mdot .04767 .50262 Mdot .17992 .50262 Mdot .10686 .50262 Mdot .09561 .50262 Mdot .39731 .50262 Mdot .18676 .50262 Mdot .15424 .50262 Mdot .28717 .50262 Mdot .19171 .50262 Mdot .26684 .50262 Mdot .05821 .50262 Mdot .07283 .50262 Mdot .02979 .50262 Mdot .39085 .50262 Mdot .42087 .50262 Mdot .31449 .50262 Mdot .04282 .50262 Mdot .14699 .50262 Mdot .38653 .50262 Mdot .35776 .50262 Mdot .21407 .50262 Mdot .11018 .50262 Mdot .17512 .50262 Mdot .05661 .50262 Mdot .16459 .50262 Mdot .16371 .50262 Mdot .24166 .50262 Mdot .34716 .50262 Mdot .2181 .50262 Mdot .21942 .50262 Mdot .32951 .50262 Mdot .35961 .50262 Mdot .1347 .50262 Mdot .26869 .50262 Mdot .45752 .50262 Mdot .23133 .50262 Mdot .31219 .50262 Mdot .08688 .50262 Mdot .08979 .50262 Mdot .23767 .50262 Mdot .36964 .50262 Mdot .0375 .50262 Mdot .05938 .50262 Mdot .17583 .50262 Mdot .42263 .50262 Mdot .40509 .50262 Mdot .46305 .50262 Mdot .19301 .50262 Mdot .17011 .50262 Mdot .12539 .50262 Mdot .09958 .50262 Mdot .38566 .50262 Mdot .22788 .50262 Mdot .36742 .50262 Mdot .18776 .50262 Mdot .21084 .50262 Mdot .26307 .50262 Mdot .3037 .50262 Mdot .29797 .50262 Mdot .12994 .50262 Mdot .14712 .50262 Mdot .02381 .50262 Mdot .0668 .50262 Mdot .13609 .50262 Mdot .33686 .50262 Mdot .26661 .50262 Mdot .16836 .50262 Mdot .07502 .50262 Mdot .40323 .50262 Mdot .26927 .50262 Mdot .12452 .50262 Mdot .15858 .50262 Mdot .47534 .50262 Mdot .15403 .50262 Mdot .4278 .50262 Mdot .0372 .50262 Mdot .1102 .50262 Mdot .26853 .50262 Mdot .43978 .50262 Mdot .21276 .50262 Mdot .05581 .50262 Mdot .44144 .50262 Mdot .42923 .50262 Mdot .30211 .50262 Mdot .45183 .50262 Mdot .16734 .50262 Mdot .04329 .50262 Mdot .1494 .50262 Mdot .43103 .50262 Mdot .37881 .50262 Mdot .4892 .50262 Mdot .18531 .50262 Mdot .45264 .50262 Mdot .24181 .50262 Mdot .04266 .50262 Mdot .43764 .50262 Mdot .08877 .50262 Mdot .28956 .50262 Mdot .06474 .50262 Mdot .15942 .50262 Mdot .13165 .50262 Mdot .27854 .50262 Mdot .1404 .50262 Mdot .11249 .50262 Mdot .1857 .50262 Mdot .36862 .50262 Mdot .16229 .50262 Mdot .42893 .50262 Mdot .09277 .50262 Mdot .15862 .50262 Mdot .04729 .50262 Mdot .49715 .50262 Mdot .41358 .50262 Mdot .5 g .23786 .50262 Mdot .29244 .50262 Mdot .14463 .50262 Mdot .12599 .50262 Mdot .27394 .50262 Mdot .46165 .50262 Mdot .34296 .50262 Mdot .38813 .50262 Mdot .2036 .50262 Mdot .3601 .50262 Mdot .20439 .50262 Mdot .44446 .50262 Mdot .46447 .50262 Mdot .17128 .50262 Mdot .3391 .50262 Mdot .06454 .50262 Mdot .08441 .50262 Mdot .10084 .50262 Mdot .23939 .50262 Mdot .21066 .50262 Mdot .05505 .50262 Mdot .3485 .50262 Mdot .34861 .50262 Mdot .40199 .50262 Mdot .38208 .50262 Mdot .24997 .50262 Mdot .06224 .50262 Mdot .20468 .50262 Mdot .47577 .50262 Mdot .1231 .50262 Mdot .25564 .50262 Mdot .41039 .50262 Mdot .21984 .50262 Mdot .08114 .50262 Mdot .36918 .50262 Mdot .17709 .50262 Mdot .48504 .50262 Mdot .42507 .50262 Mdot .44205 .50262 Mdot .23964 .50262 Mdot .46423 .50262 Mdot .1358 .50262 Mdot .22785 .50262 Mdot .22336 .50262 Mdot .02726 .50262 Mdot .16147 .50262 Mdot .15603 .50262 Mdot .48233 .50262 Mdot .16894 .50262 Mdot .07652 .50262 Mdot .22483 .50262 Mdot .33482 .50262 Mdot .25855 .50262 Mdot .21828 .50262 Mdot .04996 .50262 Mdot .49287 .50262 Mdot .04195 .50262 Mdot .35065 .50262 Mdot .38387 .50262 Mdot .36626 .50262 Mdot .23418 .50262 Mdot .309 .50262 Mdot .02861 .50262 Mdot .47213 .50262 Mdot .26801 .50262 Mdot .2731 .50262 Mdot .23731 .50262 Mdot .27818 .50262 Mdot .21461 .50262 Mdot .42548 .50262 Mdot .32869 .50262 Mdot .07847 .50262 Mdot .11376 .50262 Mdot .26741 .50262 Mdot .10441 .50262 Mdot .29323 .50262 Mdot .33434 .50262 Mdot .03938 .50262 Mdot .11629 .50262 Mdot .25914 .50262 Mdot .39962 .50262 Mdot .33161 .50262 Mdot .09019 .50262 Mdot .27239 .50262 Mdot .47437 .50262 Mdot .02424 .50262 Mdot .38922 .50262 Mdot .22896 .50262 Mdot .07414 .50262 Mdot .20884 .50262 Mdot .45579 .50262 Mdot .44764 .50262 Mdot .07543 .50262 Mdot .13529 .50262 Mdot .48318 .50262 Mdot .36084 .50262 Mdot .02806 .50262 Mdot .35586 .50262 Mdot .13678 .50262 Mdot .14616 .50262 Mdot .0819 .50262 Mdot .43526 .50262 Mdot .12405 .50262 Mdot .48556 .50262 Mdot .06788 .50262 Mdot .36953 .50262 Mdot .08264 .50262 Mdot .02794 .50262 Mdot .07384 .50262 Mdot .17003 .50262 Mdot .435 .50262 Mdot .04313 .50262 Mdot .37236 .50262 Mdot .10581 .50262 Mdot .26757 .50262 Mdot .11819 .50262 Mdot .21895 .50262 Mdot .24661 .50262 Mdot .15556 .50262 Mdot .23792 .50262 Mdot .10098 .50262 Mdot .08715 .50262 Mdot .16392 .50262 Mdot .06327 .50262 Mdot .2895 .50262 Mdot .45541 .50262 Mdot .04119 .50262 Mdot .35647 .50262 Mdot .32018 .50262 Mdot .12912 .50262 Mdot .18388 .50262 Mdot .38915 .50262 Mdot .10216 .50262 Mdot .32126 .50262 Mdot .43618 .50262 Mdot .27724 .50262 Mdot .16594 .50262 Mdot .31978 .50262 Mdot .14401 .50262 Mdot .46125 .50262 Mdot .32177 .50262 Mdot .35138 .50262 Mdot .15714 .50262 Mdot .46018 .50262 Mdot .07424 .50262 Mdot .15817 .50262 Mdot .136 .50262 Mdot .37888 .50262 Mdot .468 .50262 Mdot .07836 .50262 Mdot .34325 .50262 Mdot .11505 .50262 Mdot .04074 .50262 Mdot .26162 .50262 Mdot .38154 .50262 Mdot .29939 .50262 Mdot .32656 .50262 Mdot .16047 .50262 Mdot .20982 .50262 Mdot .27953 .50262 Mdot .23976 .50262 Mdot .22043 .50262 Mdot .39446 .50262 Mdot .12464 .50262 Mdot .37297 .50262 Mdot .36096 .50262 Mdot .48938 .50262 Mdot .08083 .50262 Mdot .18207 .50262 Mdot .41831 .50262 Mdot .47019 .50262 Mdot .15803 .50262 Mdot .24969 .50262 Mdot .43554 .50262 Mdot .35317 .50262 Mdot .33016 .50262 Mdot .47814 .50262 Mdot .46714 .50262 Mdot .48671 .50262 Mdot .40556 .50262 Mdot .32389 .50262 Mdot .4852 .50262 Mdot .35164 .50262 Mdot .34643 .50262 Mdot .12121 .50262 Mdot .40883 .50262 Mdot .26599 .50262 Mdot .09793 .50262 Mdot .28579 .50262 Mdot .12873 .50262 Mdot .29702 .50262 Mdot .22111 .50262 Mdot .47107 .50262 Mdot .23386 .50262 Mdot .13869 .50262 Mdot .38537 .50262 Mdot .03673 .50262 Mdot .47449 .50262 Mdot .26869 .50262 Mdot .39581 .50262 Mdot .75 g .51505 .50262 Mdot .70955 .50262 Mdot .79282 .50262 Mdot .91141 .50262 Mdot .76595 .50262 Mdot .64732 .50262 Mdot .88538 .50262 Mdot .53475 .50262 Mdot .90285 .50262 Mdot .5113 .50262 Mdot .67359 .50262 Mdot .88785 .50262 Mdot .65649 .50262 Mdot .67625 .50262 Mdot .8403 .50262 Mdot .74147 .50262 Mdot .5723 .50262 Mdot .59209 .50262 Mdot .66355 .50262 Mdot .55528 .50262 Mdot .73733 .50262 Mdot .54192 .50262 Mdot .56169 .50262 Mdot .6307 .50262 Mdot .88183 .50262 Mdot .93108 .50262 Mdot .53948 .50262 Mdot .68756 .50262 Mdot .94381 .50262 Mdot .59342 .50262 Mdot .7782 .50262 Mdot .53609 .50262 Mdot .53881 .50262 Mdot .9708 .50262 Mdot .95376 .50262 Mdot .83804 .50262 Mdot .56987 .50262 Mdot .88359 .50262 Mdot .52833 .50262 Mdot .69397 .50262 Mdot .56115 .50262 Mdot .5985 .50262 Mdot .75958 .50262 Mdot .56035 .50262 Mdot .71872 .50262 Mdot .56619 .50262 Mdot .74159 .50262 Mdot .70478 .50262 Mdot .66967 .50262 Mdot .79782 .50262 Mdot .63928 .50262 Mdot .60179 .50262 Mdot .57607 .50262 Mdot .50124 .50262 Mdot .79312 .50262 Mdot .91752 .50262 Mdot .57234 .50262 Mdot .84928 .50262 Mdot .80738 .50262 Mdot .64244 .50262 Mdot .63566 .50262 Mdot .82125 .50262 Mdot .97301 .50262 Mdot .7174 .50262 Mdot .89489 .50262 Mdot .7141 .50262 Mdot .59971 .50262 Mdot .77322 .50262 Mdot .52531 .50262 Mdot .90057 .50262 Mdot .69456 .50262 Mdot .75608 .50262 Mdot .55685 .50262 Mdot .91145 .50262 Mdot .56047 .50262 Mdot .692 .50262 Mdot .64221 .50262 Mdot .95452 .50262 Mdot .54044 .50262 Mdot .67925 .50262 Mdot .51307 .50262 Mdot .75531 .50262 Mdot .79514 .50262 Mdot .97586 .50262 Mdot .73624 .50262 Mdot .56235 .50262 Mdot .67371 .50262 Mdot .84699 .50262 Mdot .52944 .50262 Mdot .8691 .50262 Mdot .96563 .50262 Mdot .68779 .50262 Mdot .9505 .50262 Mdot .90911 .50262 Mdot .6533 .50262 Mdot .90988 .50262 Mdot .89369 .50262 Mdot .84547 .50262 Mdot .71792 .50262 Mdot .97511 .50262 Mdot .68642 .50262 Mdot .60396 .50262 Mdot .69742 .50262 Mdot .8928 .50262 Mdot .72355 .50262 Mdot .96032 .50262 Mdot .5682 .50262 Mdot .54839 .50262 Mdot .65113 .50262 Mdot .67955 .50262 Mdot .90984 .50262 Mdot .68107 .50262 Mdot .72136 .50262 Mdot .57505 .50262 Mdot .52188 .50262 Mdot .65888 .50262 Mdot .77495 .50262 Mdot .67519 .50262 Mdot .7047 .50262 Mdot .62474 .50262 Mdot .55151 .50262 Mdot .92183 .50262 Mdot .61831 .50262 Mdot .7387 .50262 Mdot .87358 .50262 Mdot .6616 .50262 Mdot .84965 .50262 Mdot .50066 .50262 Mdot .57264 .50262 Mdot .80211 .50262 Mdot .84456 .50262 Mdot .6753 .50262 Mdot .79099 .50262 Mdot .73011 .50262 Mdot .67063 .50262 Mdot .96804 .50262 Mdot .77368 .50262 Mdot .80438 .50262 Mdot .90066 .50262 Mdot .80166 .50262 Mdot .82597 .50262 Mdot .97619 .50262 Mdot .95804 .50262 Mdot .79883 .50262 Mdot .66499 .50262 Mdot .56667 .50262 Mdot .97099 .50262 Mdot .57526 .50262 Mdot .69526 .50262 Mdot .74751 .50262 Mdot .77122 .50262 Mdot .92248 .50262 Mdot .92188 .50262 Mdot .92292 .50262 Mdot .94047 .50262 Mdot .62203 .50262 Mdot .77342 .50262 Mdot .55331 .50262 Mdot .77906 .50262 Mdot .95468 .50262 Mdot .58175 .50262 Mdot .70512 .50262 Mdot .78716 .50262 Mdot .75927 .50262 Mdot .8419 .50262 Mdot .81299 .50262 Mdot .87806 .50262 Mdot .6889 .50262 Mdot .60258 .50262 Mdot .63354 .50262 Mdot .80015 .50262 Mdot .65549 .50262 Mdot .71635 .50262 Mdot .927 .50262 Mdot .90582 .50262 Mdot .66568 .50262 Mdot .56186 .50262 Mdot .82932 .50262 Mdot .66043 .50262 Mdot .63836 .50262 Mdot .55579 .50262 Mdot .50277 .50262 Mdot .73227 .50262 Mdot .82392 .50262 Mdot .51387 .50262 Mdot .87355 .50262 Mdot .58468 .50262 Mdot .70581 .50262 Mdot .52076 .50262 Mdot .85313 .50262 Mdot .83696 .50262 Mdot .71271 .50262 Mdot .77912 .50262 Mdot .70788 .50262 Mdot .54479 .50262 Mdot .86059 .50262 Mdot .52886 .50262 Mdot .96368 .50262 Mdot .92082 .50262 Mdot .75581 .50262 Mdot MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 137.125}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol20004 Ool20003Ool30003Ool00`00Oomoo`0UOol00ekgOomoo`09Ool00ekgOomoo`16Ool20004Ool20003 Ool30004Ool00`00Oomoo`15Ool002=oo`03?Nmoogoo00Uoo`04?Nmoogoo?Nl3Ool023g_001oogoo 001oocg_Ool20002Ool01Cg_Oomoogoo00000Woo00<007ooOol02goo00=NmgooOol057oo00=Nmgoo Ool027oo00=NmgooOol0BGoo00@007ooOol000=oo`8000Ioo`05001oogooOol00017Ool001moo`03 ?Nmoocg_00Moo`03?Nmoogoo00Eoo`@00003?Nmoo`00009oo`03001oogoo009oo`05?NmoogooOolm k`02Ool00`00Oomoo`02000BOol00ekgOomoo`0@Ool00ekgOomoo`0:Ool00ekgOomNm`0oOol50000 1Goo001oogoo00002goo00D007ooOomoo`0004Moo`006Woo0Sg_1Goo0Sg_2Goo0Sg_2Goo00@007oo Ool000Eoo`03?Nmoogoo00<000=oo`03001oogoo01moo`9Nm`Moo`03G_Moogoo04ioo`04001oogoo 0008Ool30004Ool00`00Oomoo`15Ool003Moo`04001oogoo0002Ool00cg_Oomoo`03Ool00`00Oomo o`03Ool01000Oomooekg17oo00=NmgooOol03Woo00=NmgooOol02goo00=NmgooOol0DWoo00@007oo Ool000Qoo`03001oogoo00Aoo`03001oogoo04Eoo`00=Goo00DmkgooOolmk`0000Uoo`04000mk`00 ?Nl2Ool00`00Oomoo`0@Ool00ekgOomoo`03Ool00ekgOomoo`1QOol20009Ool40003Ool00`00Oomo o`15Ool001eoo`03?Nmoogoo00eoo`04?Nmoogoo?Nl:Ool00cg_Oomoo`0;Ool01@00OomoogooG_L0 2Goo00=NmgooOol07Goo00=NmgooOol0GWoo00<007ooOol0AGoo000DOol00cg_Oomoo`02Ool00cg_ Oomoo`04Ool01Cg_Oomoogoo?Nl01Goo00Ool0 0ekgOomoo`09Ool00ekgOomoo`1_Ool00`00Oomoo`15Ool0029oo`03?Nmoogoo00Eoo`03?Nmoogoo 009oo`03?Nmoogoo00Eoo`03?Nmoogoo00moo`03001oogoo01Aoo`05G_MoogooOomNm`08Ool00ekg Oomoo`1XOol00`00Oomoo`15Ool001Yoo`03?Nmoogoo009oo`03?Nmoogoo00eoo`03?Nmoogoo00Ao o`03?Nmoogoo011oo`03001oogoo08aoo`03001oogoo04Eoo`005goo00Ool00`00Oomoo`0@Ool01000Oomoo`002goo00<007ooOol047oo00<007ooOol047oo000EOol0 0`00Oomoo`0AOol01000Oolmk`0027oo0`0000Aoocg_Oomoo`8mk`Eoo`03?Nmoogoo00=oo`80015o o`04001oogooG_L3Ool00ekgOomoo`02Ool300000gooG_Moo`08Ool00ekgOomoo`06Ool00ekgOomo o`0QOol00`00Oomoo`0BOol01000Oomoo`0027oo0`004Goo00<007ooOol047oo00@007ooOol000Qo o`<001=oo`03001oogoo011oo`005Goo00<007ooOol01Woo00Ool00ekgOomoo`1MOol00`00 Oomoo`15Ool001=oo`03?Nmoogoo00Uoo`03?Nmoogoo00=oo`03?Nmoogoo011oo`03?Nmoogoo00io o`03001oogoo00Aoo`03G_Moogoo01Eoo`04G_MoogooG_LcOomc000>Ool0015oob400004?Nl00000 ?Nl=00000acW0000000300000ekg0000000900000ekg0000000P00000ekg00000008000NOol00`00 ?Nlmk`0Mo ogooOol27>L00goo7>LLi`0MOol00acWOomoo`02Ool00`00Oomoo`07Ool00`00Oomoo`05Ool00`00 Oomoo`0EOol00`00Oomoo`1ROol00`00Oomoo`15Ool001Uoo`037>Moogoo00Aoo`037>Moogoo008L i`05OolLigooOolLi`0OOol00`00Oomoo`04Ool00`00Oomoo`0VOol00`00Oomoo`1LOol00`00Oomo o`15Ool001aoo`037>Moogoo009oo`037>Moogoo01aoo`047>Moogoo7>L5Ool01000Oomoo`0037oo 00<007ooOol07Woo00<007ooOol0Fgoo00<007ooOol0AGoo000NOol00acWOomoo`02Ool00acWOomo o`09Ool00acWOomoo`07Ool00acWOolLi`05Ool00acWOomoo`05Ool00`00Oomoo`0BOol00`00Oomo o`04Ool00`00Oomoo`07Ool00`00Oomoo`1VOol00`00Oomoo`15Ool001Aoo`8Lia1oo`047>Moogoo 7>L8Ool00acWOomoo`0?Ool00acWOomoo`02Ool20002Ool00`00Oomoo`02Ool00`00Oomoo`0=Ool0 0`00Oomoo`05Ool00`00Oomoo`03Ool01000Ool000001goo00<007ooOol0FWoo00<007ooOol0AGoo 000KOol00acWOomoo`06Ool00acWOomoo`0DOol00acWOomoo`04Ool27>L5Ool00`00Oomoo`06Ool0 0`00Oomoo`0OOol01@00Oomoogoo0000Ggoo00<007ooOol0AGoo000QOol00acWOomoo`0;Ool00acW Oomoo`02Ool00acWOomoo`03Ool00acWOolLi`09Ool011cWOomoo`0027oo00<007ooOol02Woo00<0 07ooOol00Woo00<007ooOol01goo00<007ooOol0Igoo00<007ooOol0AGoo000GOol00acWOomoo`0_ Ool00`00Oomoo`08Ool00`00Oomoo`0JOol00`00Oomoo`1TOol00`00Oomoo`15Ool001Moo`037>Mo ogoo00]oo`037>Moogoo009oo`037>Moogoo00moo`037>Moogoo00Ioo`057>MoogooOol00003Ool0 0`00Oomoo`09Ool00`00Oomoo`09Ool00`00Ool0000GOol00`00Oomoo`1FOol00`00Oomoo`15Ool0 01Eoo`037>Moogoo00Uoo`037>Moogoo01eoo`037>Moogoo00Eoo`80009oo`03001oogoo02Uoo`80 05eoo`03001oogoo04Eoo`005goo00Moogoo019oo`047>Moogoo7>L2 Ool00acWOomoo`03Ool00`00Oomoo`08Ool00`00Oomoo`08Ool00`00Oomoo`0;Ool01@00Ool007oo 0000IWoo00<007ooOol0AGoo000HOol00acWOomoo`0COol00acWOomoo`0@Ool00acWOomoo`02Ool0 11cWOomoo`0057oo00<007ooOol0Mgoo00<007ooOol0AGoo000FOol011cWOomooacW;goo00<007oo Ool00goo00<007ooOol06goo00<007ooOol00goo00<007oo00001Woo0P00FWoo00<007ooOol0AGoo 000GOol00acWOomoo`0_Ool3000?Ool00`00Oomoo`09Ool00`00Oomoo`0EOol00`00Oomoo`1FOol0 0`00Oomoo`15Ool001Eoo`037>Moogoo00Eoo`057>MoogooOolLi`0WOol01@00Oomoogoo000027oo 00<007ooOol01goo00<007ooOol01Goo00<007ooOol00Woo00<007ooOol0J7oo00<007ooOol0AGoo 000FOol27>L=Ool00acWOomoo`0QOol01000Oomoo`0027oo0P000Woo00<007ooOol02Goo00<007oo Ool00Woo00<007oo00000goo00<007ooOol0IGoo00<007ooOol0AGoo000OOol00acWOomoo`0UOol0 0acWOol00005Ool00`00Oomoo`0KOol01@00Oomoogoo0000IWoo00<007ooOol0AGoo000MOol00acW Oomoo`0;Ool00acWOomoo`0MooacW00Uoo`037>Moogoo025oo`8000eoo`03001o ogoo02Aoo`03001oogoo05Ioo`03001oogoo04Eoo`008Goo007oo 0P0017oo00<001cWOol00Woo0`000goo00<007ooOol06Goo00<007ooOol00P004Woo00<007ooOol0 Agoo0P0017oo0P000goo0`0017oo00<007ooOol0AGoo000LOol00acWOomoo`0HOol01000Oomoo`00 0goo0P001Woo00@007ooOol000aoo`03001oogoo01Moo`03001oogoo059oo`04001oogoo0003Ool2 0006Ool01@00Oomoogoo0000Agoo000KOol00acWOomoo`08Ool00acWOomoo`0>Ool01000Oomoo`00 2Goo00Mo ogoo00Aoo`037>Moogoo00Aoo`04001ooacW7>L7Ool011cW000000000Woo00L5Ool40002Ool0 0`00Oomoo`06Ool00`00Oomoo`03Ool00`00Oomoo`07Ool00`00Oomoo`1QOol20009Ool40003Ool0 0`00Oomoo`15Ool002=oo`037>Moogoo009oo`037>Moogoo00=oo`037>Moogoo00Aoo`037>Moogoo 00]oo`037>Moogoo00=oo`03001oogoo00Eoo`03001oogoo02Aoo`03001oogoo05eoo`03001oogoo 04Eoo`009Goo00DLigooOomooacW00eoo`037>Moogoo00Moo`057>MoogooOolLi`03Ool2000BOol0 0`00Oomoo`0IOol01000Oomoo`00Fgoo00<007ooOol0AGoo0014Ool01QcWOomooacWOol000Ioo`03 001oogoo01Eoo`03001oogoo06eoo`03001oogoo04Eoo`00=goo00Moogoo00Eoo`03001oo`0000aoo`03 001oogoo01Ioo`04001oogoo0002Ool00`00Oomoo`1NOol00`00Oomoo`15Ool0029oo`037>Moogoo 01moo`037>MooacW009oo`03001oogoo08aoo`03001oogoo04Eoo`006Woo00Moogoo00Moo`037>Mo ogoo00moo`037>Moogoo019oo`8000ioo`03001oogoo00aoo`03001oogoo01=oo`03001oogoo05Mo o`03001oogoo04Eoo`009Woo00L01goo00L02Woo00L017oo00LVOol00`00Oomoo`0GOol00`00Oomoo`08Ool00`00Oomoo`1W Ool00`00Oomoo`15Ool001]oo`047>Moogoo7>L2Ool00acWOolLi`08Ool00acWOomoo`0COol00acW Oomoo`04Ool20005Ool00`00Oomoo`08Ool00`00Oomoo`1jOol00`00Oomoo`15Ool001Moo`067>Mo ogoo7>MooacW0goo00MooacW00moo`03 001oogoo009oo`8000Eoo`04001oogoo001nOol00`00Oomoo`03Ool00`00Oomoo`15Ool004Aoo`03 001oogoo009oo`8000Yoo`05001oogooOol0001hOol00`00Oomoo`03Ool00`00Oomoo`15Ool004Ao o`03001oogoo009oo`03001oogoo08Ioo`03001oogoo00=oo`03001oogoo04Eoo`00A7oo00<007oo Ool00Woo00<007ooOol0QWoo00<007ooOol00goo00<007ooOol0AGoo0013Ool2002Ool2000iOol00=Eoo`03001oogoo00ioo`03001oogoo03Mo o`00@goo1@0000=oo`00Ool0OGoo0`000Woo0`001Goo00<007ooOol01@0000=oo`00Ool01Woo00<0 07ooOol0=goo0014Ool01@00Ool007oo0000P7oo00<007ooOol017oo00<007ooOol00Woo00T007oo Oomoo`00Ool007oo000027oo00<007ooOol0=goo0014Ool01000Ool00000PGoo00<007ooOol017oo 00<007ooOol00Woo00H007ooOomoo`00Ool20009Ool00`00Oomoo`0gOol004Aoo`05001oo`00Ool0 001nOol01P00Ool007oo001oo`<000Eoo`09001oogooOol007oo001oo`0000Qoo`03001oogoo03Mo o`00A7oo00D007oo001oo`00009oo`<007Uoo`07001oo`00Ool007oo00001goo00T007ooOomoo`00 Ool007oo00000Woo0`000goo00<007ooOol0=goo0013Ool60003Ool00`00Oomoo`1hOol500000goo 000000020004Ool200000goo000000040003Ool01000Oomoogoo0P00>Goo001=Ool00`00Oomoo`2B Ool00`00Oomoo`0kOol004]oo`<0099oo`<003eoo`00ogoo8Goo003oOolQOol00?moob5oo`00ogoo 8Goo0000\ \>"], ImageRangeCache->{{{0, 287}, {136.125, 0}} -> {-0.0554274, -0.0238423, 0.0073549, 0.0073549}, {{7.5, 137}, {132.875, 3.1875}} -> {-1.35472, -1.14237, 0.0183691, 0.0183691}, {{149.938, 279.438}, {132.875, 3.1875}} -> {-3.98079, -1.14272, 0.0184136, 0.0184136}}] }, Open ]], Cell[TextData[ "Again, all the points have been \"flattened\" to a straight line. In this \ case, it\.b4s clear that the equation is y = 0.\nThen, the image set of T2 is \ { (x, 0), x \[Element] \[DoubleStruckCapitalR] }. At this point we can \ introduce the formal proposition:"], "Text"], Cell[BoxData[ \(The\ image\ set\ of\ a\ linear\ transformation\ is\ a\ vector\ subspace \ of\ the\ codomain . \ \nSo\ the\ possibilities\ \(are : \n\t\t\t\t\t\[FilledSmallCircle] {\((0, 0)\)}\), \n\t\t\t\t\t \[FilledSmallCircle]\ straight\ lines\ that\ pass\ through\ the\ origin, \ and\n\t\t\t\t\t\[FilledSmallCircle]\ \[DoubleStruckCapitalR]\^2\ \(itself . \)\)], "Input", TextAlignment->Left, TextJustification->0, FontFamily->"Times", FontWeight->"Plain"], Cell["See, for example, [Halmos 1960].", "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Recognizing the kernel of a linear transformation", "Section"], Cell[TextData[{ "Let T : ", Cell[BoxData[ RowBox[{" ", RowBox[{ FormBox[\(\[DoubleStruckCapitalR]\^2\), "TraditionalForm"], "\[RightArrow]", FormBox[\(\[DoubleStruckCapitalR]\^2\), "TraditionalForm"]}]}]]], " be a linear transformation. \nWe know that T (0, 0) = 0, so the subset of \ the domain {(x, y) / T(x, y) = (0,0)} is not empty." }], "Text"], Cell[TextData[{ "If T is a linear transformation, then the subset of the domain, Ker (T) = \ {(x, y) / T(x, y) = (0,0)},\nis a subspace of ", Cell[BoxData[ FormBox[ FormBox[\(\[DoubleStruckCapitalR]\^2\), "TraditionalForm"], TraditionalForm]]], " called the Kernel of T." }], "Text", TextAlignment->Left, TextJustification->0], Cell[TextData[{ "Our first attempt to find the kernel is graphical. As we know that Ker (T) \ is a vector subspace of ", Cell[BoxData[ FormBox[ FormBox[\(\[DoubleStruckCapitalR]\^2\), "TraditionalForm"], TraditionalForm]]], ", we\.b4ll consider straight lines passing through the origin, whose union \ we call ", StyleBox["S", FontSlant->"Italic"], " and see what happens when we transform ", StyleBox["S", FontSlant->"Italic"], " by the linear transformations defined above." }], "Text", TextAlignment->Left, TextJustification->1], Cell["\<\ We associate the same gray level with each line and its image.\ \>", "Text"], Cell["We first define the subsets:", "Text"], Cell["\<\ s[1] = Table[{0, y}, {y, -3, 3, 0.2}]; s[2] = Table[{-y, y/2}, {y, -3, 3, 0.2}]; s[3] = Table[{x, 0}, {x, -3, 3, 0.2}]; s[4] = Table[{-y, 2*y}, {y, -3/2, 3/2, 0.15}]; s[5] = Table[{y, y/2}, {y, -3, 3, 0.2}]; s[6] = Table[{y, 2*y}, {y, -3/2, 3/2, 0.15}]; s[7] = Table[{-y, y}, {y, -3, 3, 0.2}]; s[8] = Table[{y, y}, {y, -3, 3, 0.2}]; \ \>", "Input"], Cell["\<\ sPlot[n_] := drawPoints[s[n], (8 - n)/10, 0.015]; setPlot = Show[{Table[sPlot[n], {n, 8}]}, PlotLabel -> \"Set S\", DisplayFunction -> $DisplayFunction]; \ \>", "Input"], Cell["Here is our domain of \"test sets\":", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.15873 0.5 0.15873 [ [.02381 .4875 -6 -9 ] [.02381 .4875 6 0 ] [.18254 .4875 -6 -9 ] [.18254 .4875 6 0 ] [.34127 .4875 -6 -9 ] [.34127 .4875 6 0 ] [.65873 .4875 -3 -9 ] [.65873 .4875 3 0 ] [.81746 .4875 -3 -9 ] [.81746 .4875 3 0 ] [.97619 .4875 -3 -9 ] [.97619 .4875 3 0 ] [.4875 .02381 -12 -4.5 ] [.4875 .02381 0 4.5 ] [.4875 .18254 -12 -4.5 ] [.4875 .18254 0 4.5 ] [.4875 .34127 -12 -4.5 ] [.4875 .34127 0 4.5 ] [.4875 .65873 -6 -4.5 ] [.4875 .65873 0 4.5 ] [.4875 .81746 -6 -4.5 ] [.4875 .81746 0 4.5 ] [.4875 .97619 -6 -4.5 ] [.4875 .97619 0 4.5 ] [.5 1.0125 -17 0 ] [.5 1.0125 17 12 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .02381 .5 m .02381 .50625 L s [(-3)] .02381 .4875 0 1 Mshowa .18254 .5 m .18254 .50625 L s [(-2)] .18254 .4875 0 1 Mshowa .34127 .5 m .34127 .50625 L s [(-1)] .34127 .4875 0 1 Mshowa .65873 .5 m .65873 .50625 L s [(1)] .65873 .4875 0 1 Mshowa .81746 .5 m .81746 .50625 L s [(2)] .81746 .4875 0 1 Mshowa .97619 .5 m .97619 .50625 L s [(3)] .97619 .4875 0 1 Mshowa .125 Mabswid .05556 .5 m .05556 .50375 L s .0873 .5 m .0873 .50375 L s .11905 .5 m .11905 .50375 L s .15079 .5 m .15079 .50375 L s .21429 .5 m .21429 .50375 L s .24603 .5 m .24603 .50375 L s .27778 .5 m .27778 .50375 L s .30952 .5 m .30952 .50375 L s .37302 .5 m .37302 .50375 L s .40476 .5 m .40476 .50375 L s .43651 .5 m .43651 .50375 L s .46825 .5 m .46825 .50375 L s .53175 .5 m .53175 .50375 L s .56349 .5 m .56349 .50375 L s .59524 .5 m .59524 .50375 L s .62698 .5 m .62698 .50375 L s .69048 .5 m .69048 .50375 L s .72222 .5 m .72222 .50375 L s .75397 .5 m .75397 .50375 L s .78571 .5 m .78571 .50375 L s .84921 .5 m .84921 .50375 L s .88095 .5 m .88095 .50375 L s .9127 .5 m .9127 .50375 L s .94444 .5 m .94444 .50375 L s .25 Mabswid 0 .5 m 1 .5 L s .5 .02381 m .50625 .02381 L s [(-3)] .4875 .02381 1 0 Mshowa .5 .18254 m .50625 .18254 L s [(-2)] .4875 .18254 1 0 Mshowa .5 .34127 m .50625 .34127 L s [(-1)] .4875 .34127 1 0 Mshowa .5 .65873 m .50625 .65873 L s [(1)] .4875 .65873 1 0 Mshowa .5 .81746 m .50625 .81746 L s [(2)] .4875 .81746 1 0 Mshowa .5 .97619 m .50625 .97619 L s [(3)] .4875 .97619 1 0 Mshowa .125 Mabswid .5 .05556 m .50375 .05556 L s .5 .0873 m .50375 .0873 L s .5 .11905 m .50375 .11905 L s .5 .15079 m .50375 .15079 L s .5 .21429 m .50375 .21429 L s .5 .24603 m .50375 .24603 L s .5 .27778 m .50375 .27778 L s .5 .30952 m .50375 .30952 L s .5 .37302 m .50375 .37302 L s .5 .40476 m .50375 .40476 L s .5 .43651 m .50375 .43651 L s .5 .46825 m .50375 .46825 L s .5 .53175 m .50375 .53175 L s .5 .56349 m .50375 .56349 L s .5 .59524 m .50375 .59524 L s .5 .62698 m .50375 .62698 L s .5 .69048 m .50375 .69048 L s .5 .72222 m .50375 .72222 L s .5 .75397 m .50375 .75397 L s .5 .78571 m .50375 .78571 L s .5 .84921 m .50375 .84921 L s .5 .88095 m .50375 .88095 L s .5 .9127 m .50375 .9127 L s .5 .94444 m .50375 .94444 L s .25 Mabswid .5 0 m .5 1 L s gsave .5 1.0125 -78 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.000000 moveto 558.000000 16.000000 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.000000 lineto closepath clip newpath 63.000000 13.000000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.000000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (Set) show 87.000000 13.000000 moveto (S) show 93.000000 13.000000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Courier grestore 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .7 g .015 w .5 .02381 Mdot .5 .05556 Mdot .5 .0873 Mdot .5 .11905 Mdot .5 .15079 Mdot .5 .18254 Mdot .5 .21429 Mdot .5 .24603 Mdot .5 .27778 Mdot .5 .30952 Mdot .5 .34127 Mdot .5 .37302 Mdot .5 .40476 Mdot .5 .43651 Mdot .5 .46825 Mdot .5 .5 Mdot .5 .53175 Mdot .5 .56349 Mdot .5 .59524 Mdot .5 .62698 Mdot .5 .65873 Mdot .5 .69048 Mdot .5 .72222 Mdot .5 .75397 Mdot .5 .78571 Mdot .5 .81746 Mdot .5 .84921 Mdot .5 .88095 Mdot .5 .9127 Mdot .5 .94444 Mdot .5 .97619 Mdot .6 g .97619 .2619 Mdot .94444 .27778 Mdot .9127 .29365 Mdot .88095 .30952 Mdot .84921 .3254 Mdot .81746 .34127 Mdot .78571 .35714 Mdot .75397 .37302 Mdot .72222 .38889 Mdot .69048 .40476 Mdot .65873 .42063 Mdot .62698 .43651 Mdot .59524 .45238 Mdot .56349 .46825 Mdot .53175 .48413 Mdot .5 .5 Mdot .46825 .51587 Mdot .43651 .53175 Mdot .40476 .54762 Mdot .37302 .56349 Mdot .34127 .57937 Mdot .30952 .59524 Mdot .27778 .61111 Mdot .24603 .62698 Mdot .21429 .64286 Mdot .18254 .65873 Mdot .15079 .6746 Mdot .11905 .69048 Mdot .0873 .70635 Mdot .05556 .72222 Mdot .02381 .7381 Mdot .5 g .02381 .5 Mdot .05556 .5 Mdot .0873 .5 Mdot .11905 .5 Mdot .15079 .5 Mdot .18254 .5 Mdot .21429 .5 Mdot .24603 .5 Mdot .27778 .5 Mdot .30952 .5 Mdot .34127 .5 Mdot .37302 .5 Mdot .40476 .5 Mdot .43651 .5 Mdot .46825 .5 Mdot .5 .5 Mdot .53175 .5 Mdot .56349 .5 Mdot .59524 .5 Mdot .62698 .5 Mdot .65873 .5 Mdot .69048 .5 Mdot .72222 .5 Mdot .75397 .5 Mdot .78571 .5 Mdot .81746 .5 Mdot .84921 .5 Mdot .88095 .5 Mdot .9127 .5 Mdot .94444 .5 Mdot .97619 .5 Mdot .4 g .7381 .02381 Mdot .71429 .07143 Mdot .69048 .11905 Mdot .66667 .16667 Mdot .64286 .21429 Mdot .61905 .2619 Mdot .59524 .30952 Mdot .57143 .35714 Mdot .54762 .40476 Mdot .52381 .45238 Mdot .5 .5 Mdot .47619 .54762 Mdot .45238 .59524 Mdot .42857 .64286 Mdot .40476 .69048 Mdot .38095 .7381 Mdot .35714 .78571 Mdot .33333 .83333 Mdot .30952 .88095 Mdot .28571 .92857 Mdot .2619 .97619 Mdot .3 g .02381 .2619 Mdot .05556 .27778 Mdot .0873 .29365 Mdot .11905 .30952 Mdot .15079 .3254 Mdot .18254 .34127 Mdot .21429 .35714 Mdot .24603 .37302 Mdot .27778 .38889 Mdot .30952 .40476 Mdot .34127 .42063 Mdot .37302 .43651 Mdot .40476 .45238 Mdot .43651 .46825 Mdot .46825 .48413 Mdot .5 .5 Mdot .53175 .51587 Mdot .56349 .53175 Mdot .59524 .54762 Mdot .62698 .56349 Mdot .65873 .57937 Mdot .69048 .59524 Mdot .72222 .61111 Mdot .75397 .62698 Mdot .78571 .64286 Mdot .81746 .65873 Mdot .84921 .6746 Mdot .88095 .69048 Mdot .9127 .70635 Mdot .94444 .72222 Mdot .97619 .7381 Mdot .2 g .2619 .02381 Mdot .28571 .07143 Mdot .30952 .11905 Mdot .33333 .16667 Mdot .35714 .21429 Mdot .38095 .2619 Mdot .40476 .30952 Mdot .42857 .35714 Mdot .45238 .40476 Mdot .47619 .45238 Mdot .5 .5 Mdot .52381 .54762 Mdot .54762 .59524 Mdot .57143 .64286 Mdot .59524 .69048 Mdot .61905 .7381 Mdot .64286 .78571 Mdot .66667 .83333 Mdot .69048 .88095 Mdot .71429 .92857 Mdot .7381 .97619 Mdot .1 g .97619 .02381 Mdot .94444 .05556 Mdot .9127 .0873 Mdot .88095 .11905 Mdot .84921 .15079 Mdot .81746 .18254 Mdot .78571 .21429 Mdot .75397 .24603 Mdot .72222 .27778 Mdot .69048 .30952 Mdot .65873 .34127 Mdot .62698 .37302 Mdot .59524 .40476 Mdot .56349 .43651 Mdot .53175 .46825 Mdot .5 .5 Mdot .46825 .53175 Mdot .43651 .56349 Mdot .40476 .59524 Mdot .37302 .62698 Mdot .34127 .65873 Mdot .30952 .69048 Mdot .27778 .72222 Mdot .24603 .75397 Mdot .21429 .78571 Mdot .18254 .81746 Mdot .15079 .84921 Mdot .11905 .88095 Mdot .0873 .9127 Mdot .05556 .94444 Mdot .02381 .97619 Mdot 0 g .02381 .02381 Mdot .05556 .05556 Mdot .0873 .0873 Mdot .11905 .11905 Mdot .15079 .15079 Mdot .18254 .18254 Mdot .21429 .21429 Mdot .24603 .24603 Mdot .27778 .27778 Mdot .30952 .30952 Mdot .34127 .34127 Mdot .37302 .37302 Mdot .40476 .40476 Mdot .43651 .43651 Mdot .46825 .46825 Mdot .5 .5 Mdot .53175 .53175 Mdot .56349 .56349 Mdot .59524 .59524 Mdot .62698 .62698 Mdot .65873 .65873 Mdot .69048 .69048 Mdot .72222 .72222 Mdot .75397 .75397 Mdot .78571 .78571 Mdot .81746 .81746 Mdot .84921 .84921 Mdot .88095 .88095 Mdot .9127 .9127 Mdot .94444 .94444 Mdot .97619 .97619 Mdot % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 288}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol008moo`03001oogoo08ioo`00Sgoo00<007ooOol0SWoo002?Ool0 0`00Oomoo`2>Ool000eoo`8003moo`8HaSMoo`<000Eoo`9JeSioo`8aS3moo`8Goo00@007ooOomoo`AJeSaoo`@aS3eoo`@7oo0P001Goo0U[F?Woo0S6< ?goo0PaS3Woo002:Ool00`00Oomoo`02Ool00`00Oomoo`2>Ool008Moo`<000Eoo`03001oogoo08io o`00Sgoo00<007ooOol0SWoo002?Ool00`00Oomoo`2>Ool008moo`03001oogoo08ioo`005Woo0P00 Mgoo0U[FMWoo0PaS5goo000EOol4001eOol4F]IdOol4367oo00<007ooOol0=Woo136Ool008moo`03001oogoo08ioo`00Sgoo00<007ooOol0SWoo 002?Ool00`00Oomoo`2>Ool002Moo`80039oo`8HaS9oo`9JeS5oo`8aS39oo`8Ool008moo`03001oogoo08ioo`00Sgoo00<007ooOol0SWoo002?Ool00`00Oomoo`2> Ool0031oo`8005eoo`9JeUaoo`8Ool003Qoo`80 04ioo`03001oogoo00Aoo`9JeUAoo`87oo000gOol4001?Ool01000Oomoogoo15[FDWoo10aS>7oo000hOol2001=Ool01000Oomo o`0017oo0U[FE7oo0PaS>Goo0028Ool20005Ool00`00Oomoo`2>Ool008moo`03001oogoo08ioo`00 Sgoo00<007ooOol0SWoo002?Ool00`00Oomoo`2>Ool0045oo`8002Eoo`8HaREoo`9JeRAoo`8aS2Eo o`8Ool008moo`03001oogoo08ioo`00Sgoo00<007ooOol0SWoo 002?Ool00`00Oomoo`2>Ool004Yoo`8004=oo`9JeT9oo`8L`eoo`003Goo0RDY Ggoo0QS67goo00<007ooOol07Goo0S6LaIoo`005Goo12DY>7oo1000>Goo 15[F>7oo10aS>7oo14ic5Woo000FOol29BTjOol2000kOol2F]HjOol236Laioo`007Woo0RDYKgoo00<007ooOol0KGoo 0Tic7goo000WOol29BTbOol2000HOol26LbMoo`009Woo12DY<7oo10005Woo11S6 5Woo15[F5Goo136<5Woo10aS<7oo14ic9goo000WOol29BTbOol2000HOol26Lc5oo`00;goo12DYG7oo00<007oo Ool0FWoo14ic<7oo000_Ool49BULOol00`00Oomoo`1JOol4CW<`Ool0031oo`8U:Eeoo`03001oogoo 05]oo`9>Lc5oo`00Qgoo0`001Goo00<007ooOol0SWoo000hOol29BTYOol2000SOol00`00Oomoo`04 Ool2F]HYOol236LcQoo`00=goo12DY9goo10008Woo00<007ooOol00goo15[F9goo10aS9goo14ic>7oo 000hOol29BTYOol2000SOol00`00Oomoo`04Ool2F]HYOol236Ld9oo`00@7oo12DY=Woo11S64Goo00<007ooOol0 3goo136<=Woo14ic@Goo0010Ool49BTfOol46Ld9oo`00BWoo0RDY87oo0P008Goo0U[F87oo 0PaS87oo0TicBgoo0019Ool49BTNOol4000OOol4F]HNOol436LdYoo`00BWoo0RDY87oo0P008Goo0U[F87oo0PaS87oo0TicBgoo002? Ool00`00Oomoo`2>Ool0059oo`8U:C]oo`03001oogoo03Uoo`9>Le=oo`00DGoo12DY>Woo00<007oo Ool0>7oo14icDWoo001AOol49BTjOol00`00Oomoo`0hOol4CW=BOol0059oo`8U:C]oo`03001oogoo 03Uoo`9>Le=oo`00Fgoo0RDY67oo0P002goo0QS62goo0U[F2Woo0S6<2goo0PaS67oo0TicG7oo001J Ool49BTFOol40009Ool46Le]oo`00Fgoo0RDY67oo0P002goo0QS62goo0U[F2Woo 0S6<2goo0PaS67oo0TicG7oo001SOol29BTZOol00`00Oomoo`0XOol2CW=TOol0069oo`@U:BUoo`03 001oogoo02Moo`A>Lf=oo`00HWoo12DY:Goo00<007ooOol09goo14icHgoo001SOol29BTZOol00`00 Oomoo`0XOol2CW=TOol008moo`03001oogoo08ioo`00K7oo0RDY3goo0P0047oo0U[F3goo0PaS3goo 0TicKGoo001[Ool49BT=Ool4000>Ool4F]H=Ool436<=Ool4CW=/Ool006]oo`@U:@eoo`@000ioo`AJ ePeoo`@Lfaoo`00K7oo0RDY3goo0P0047oo0U[F3goo0PaS3goo0TicKGoo001eOol29BTA Ool26LgEoo`00M7oo12DY3goo11S617oo00<007ooOol00Woo136<3goo14icMGoo001eOol2 9BTAOol26LaIoo`<002Qoo`@002Moo`<000moo`004Woo00<007ooOol0 9Woo00<007ooOol0:7oo00<007ooOol04goo12DY1Goo10001Goo15[F17oo10aS1Goo14ic5Woo00<0 07ooOol0:7oo00<007ooOol0:Woo00<007ooOol037oo0009Ool50004Ool00`00Oomoo`0OOol50003 Ool00`00Oomoo`0POol50002Ool00`00Oomoo`0COol49BT5Ool40005Ool4F]H4Ool436<5Ool4CWLaMoo`03001oogoo02Yoo`03001o ogoo02Ioo`8000moo`004Woo00<007ooOol09Goo00@007ooOol002Qoo`03001oogoo01eoo`8U:@Mo o`03001oogoo00Eoo`9>Lb1oo`03001oogoo02Moo`04001oogoo000ZOol00`00Oomoo`0Laioo`8002Yoo`8002Qoo`<000mo o`00QGoo12DY1Woo00<007ooOol017oo14icQWoo0026Ool29BT7Ool00`00Oomoo`05Ool2CW>7Ool0 08moo`03001oogoo08ioo`003Goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_ 1goo0Sg_1Woo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0P001Woo0Sg_ 1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_ 1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_3Woo0007Ool50004?Nl50004?Nl40004?Nl50004?Nl50004 ?Nl40004?Nl50004?Nl50004?Nl40004?Nl50004?Nl40004?Nl50004?Nl50004?Nl40004?Nl50004 ?Nl=0004?Nl50004?Nl40004?Nl50004?Nl50004?Nl40004?Nl50004?Nl40004?Nl50004?Nl50004 ?Nl40004?Nl50004?Nl50004?Nl40004?Nl50004?Nl50008Ool000aoo`@mk`Eoo`@mk`Aoo`@mk`Eo o`@mk`Eoo`@mk`Aoo`@mk`Eoo`@mk`Eoo`@mk`Aoo`@mk`Eoo`@mk`Aoo`@mk`Eoo`@mk`Eoo`@mk`Ao o`@mk`Eoo`@mk`Eoo`@000Aoo`@mk`Eoo`@mk`Aoo`@mk`Eoo`@mk`Eoo`@mk`Aoo`@mk`Eoo`@mk`Ao o`@mk`Eoo`@mk`Eoo`@mk`Aoo`@mk`Eoo`@mk`Eoo`@mk`Aoo`@mk`Eoo`@mk`eoo`003Goo0Sg_1goo 0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1Woo0Sg_1goo 0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0P001Woo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo 0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_1goo0Sg_1Woo0Sg_1goo0Sg_3Woo 0026Ool2CW<7Ool00`00Oomoo`05Ool29BV7Ool008Eoo`A>L`Ioo`03001oogoo00Aoo`@U:HIoo`00 QGoo14ic1Woo00<007ooOol017oo12DYQWoo0026Ool2CW<7Ool00`00Oomoo`05Ool29BV7Ool007eo o`9>L`Moo`8L`Moo`8L`moo`@aS0Aoo`03001oogoo009oo`@HaPmoo`@U:GEoo`00M7oo 14ic3goo136<17oo00<007ooOol00Woo11S63goo12DYMGoo001eOol2CWL`moo`8Ool4F]H=Ool4000=Ool49BU/ Ool006aoo`9>L`moo`8LbUoo`03001oogoo02Moo`@U :F=oo`00Hgoo0Tic:Woo00<007ooOol0:7oo0RDYI7oo002?Ool00`00Oomoo`2>Ool005]oo`9>LaQo o`8LaQoo`8goo00<007ooOol0>Goo0RDYDgoo001AOol4CWLcYoo`03001oogoo03Qoo`@U:E9oo`00DWoo0Tic>goo00<007ooOol0>Goo0RDYDgoo001:Ool2 CWLaioo`@7oo0S6<4Woo00<007ooOol047oo 0QS6>7oo0RDY@Woo0010Ool4CW LcIoo`@aS15oo`03001oogoo00moo`@HaSIoo`@U:D5oo`00@Goo0Tic>7oo0S6<2Woo0`001Goo00<0 07ooOol047oo0QS6>7oo0RDY@Woo000hOol2CWLbMoo`@7oo000hOol2CWLeEoo`8000Ioo`03001oogoo05]oo`8U :C5oo`00;goo14icG7oo00<007ooOol0FWoo12DY<7oo000_Ool4CW=LOol00`00Oomoo`1JOol49BT` Ool0031oo`9>Leeoo`03001oogoo05]oo`8U:C5oo`00Sgoo00<007ooOol0SWoo000WOol2CWLc1oo`@Lfmoo`03001oogoo06eoo`8U:Amoo`007Goo14icKWoo00<007ooOol0K7oo12DY7Woo000MOol4 CW=^Ool00`00Oomoo`1/Ool49BTNOol001ioo`9>Lfmoo`03001oogoo06eoo`8U:Amoo`005Woo0Tic >Woo0PaS>goo0U[F>Woo0P00>Woo0RDY5goo000EOol4CWLcQoo`@Woo0PaS>goo0U[F>Woo 0P00>Woo0RDY5goo000=Ool2CW=OOol2Ool000aoo`A> Leeoo`@aS1ioo`03001oogoo01aoo`@HaUeoo`@U:@eoo`0037oo14icGGoo136<7Woo00<007ooOol0 77oo11S6GGoo12DY3Goo000=Ool2CW=OOol2Ool008mo o`03001oogoo08ioo`00BWoo0PaS@goo0U[F@Woo0P00Bgoo0019Ool436=1Ool4F]I0Ool4001:Ool0 04Uoo`@ Ool008moo`03001oogoo08ioo`00Sgoo00<007ooOol0SWoo002?Ool00`00Oomoo`2>Ool0045oo`8< HbEoo`8aS2Eoo`9JeRAoo`8HaREoo`80049oo`00@7oo10aS8goo136<8goo15[F8Woo11S68goo1000 @Goo0010Ool436Ool008moo`03001oogoo 08ioo`00Sgoo00<007ooOol0SWoo002?Ool00`00Oomoo`2>Ool003Qoo`87oo000gOol436=>Ool00`00Oomo o`02Ool4F]IBOol4000hOol003Qoo`8Ool008moo`03001oogoo 08ioo`009goo0PaSOol008moo`03001oogoo08ioo`00 Sgoo00<007ooOol0SWoo002?Ool00`00Oomoo`2>Ool008moo`03001oogoo08ioo`007Woo0PaSKgoo 0U[FKWoo0P007goo000MOol436=]Ool4F]I/Ool4000NOol001eoo`@7oo00<007ooOol0=Woo11S6E7oo001DOol2Ool008moo`03001oogoo08ioo`00Sgoo00<007ooOol0SWoo002? Ool00`00Oomoo`2>Ool000eoo`8Goo00@007ooOomoo`AJeSaoo`@HaSeoo`@000eoo`0037oo10aS?Goo136<>Goo00@0 07ooOomoo`AJeSaoo`@HaSeoo`@000eoo`003Goo0PaS?goo0S6<>7oo0P001Goo0U[F?Woo0QS6?goo 0P003Woo002:Ool00`00Oomoo`02Ool00`00Oomoo`2>Ool008Moo`<000Eoo`03001oogoo08ioo`00 Sgoo00<007ooOol0SWoo002?Ool00`00Oomoo`2>Ool008moo`03001oogoo08ioo`00ogoo8Goo003o OolQOol00?moob5oo`00ogoo8Goo003oOolQOol00?moob5oo`00PGoo0`0017oo10000Woo0`0027oo 0`00Q7oo0021Ool01000Oomoo`000Woo00<007ooOol017oo00@007ooOol000Moo`04001oogoo0023 Ool008=oo`80009oo`D0009oo`03001oogoo00Yoo`8008=oo`00PGoo0P0017oo00D007ooOomoo`00 009oo`03001oogoo00Qoo`8008Eoo`00PGoo00@007ooOol000=oo`<0009oo`@000Qoo`04001oogoo 0023Ool0089oo`<000Uoo`03001oogoo00Uoo`<008=oo`00SWoo00<007ooOol0Sgoo003oOolQOol0 0?moob5oo`00\ \>"], ImageRangeCache->{{{0, 287}, {287, 0}} -> {-3.32858, -3.15004, 0.0231957, 0.0231957}}], Cell[TextData[{ "So that the image of the kernel will not be obscured by the coordinate \ axes, we revise our ", StyleBox["drawPoints", "Input", FontWeight->"Plain"], " function to show a coordinate frame instead of coordinate axes:" }], "Text"], Cell["\<\ newDrawPoints[pointSet_, shade_, size_] := ListPlot[pointSet, PlotStyle -> {GrayLevel[shade], PointSize[size]}, DisplayFunction -> Identity, AspectRatio -> Automatic, PlotRange -> {{-2, 2}, {-2, 2}}, Axes -> False, Frame -> True, FrameTicks -> {None, Automatic}]; \ \>", "Input", InitializationCell->True], Cell["\<\ Now we apply the transformation T2 to the subsets of S, choosing a \ large point size so that we don't miss the single dot:\ \>", "Text"], Cell["T2s[n_] := trans[T2, s[n]]; ", "Input"], Cell["T2sPlot[n_] := newDrawPoints[T2s[n], (8 - n)/10, 0.08]; ", "Input"], Cell[CellGroupData[{ Cell["\<\ Show[GraphicsArray[{Table[T2sPlot[n], {n, 4}], Table[T2sPlot[n], {n, 5, 8}]}], DisplayFunction -> $DisplayFunction]; \ \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .48837 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 0.238095 0.0116279 0.238095 [ [ 0 0 0 0 ] [ 1 .48837 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .48837 L 0 .48837 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0116279 0.245293 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .3 g .08 w .25 0 Mdot .3 .1 Mdot .35 .2 Mdot .4 .3 Mdot .45 .4 Mdot .5 .5 Mdot .55 .6 Mdot .6 .7 Mdot .65 .8 Mdot .7 .9 Mdot .75 1 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.267442 0.0116279 0.488926 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .2 g .08 w .3125 .125 Mdot .40625 .3125 Mdot .5 .5 Mdot .59375 .6875 Mdot .6875 .875 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.511074 0.0116279 0.732558 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .1 g .08 w .25 0 Mdot .275 .05 Mdot .3 .1 Mdot .325 .15 Mdot .35 .2 Mdot .375 .25 Mdot .4 .3 Mdot .425 .35 Mdot .45 .4 Mdot .475 .45 Mdot .5 .5 Mdot .525 .55 Mdot .55 .6 Mdot .575 .65 Mdot .6 .7 Mdot .625 .75 Mdot .65 .8 Mdot .675 .85 Mdot .7 .9 Mdot .725 .95 Mdot .75 1 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.754707 0.0116279 0.97619 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .08 w .275 .05 Mdot .35 .2 Mdot .425 .35 Mdot .5 .5 Mdot .575 .65 Mdot .65 .8 Mdot .725 .95 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.0238095 0.25526 0.245293 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .7 g .08 w .25 0 Mdot .3 .1 Mdot .35 .2 Mdot .4 .3 Mdot .45 .4 Mdot .5 .5 Mdot .55 .6 Mdot .6 .7 Mdot .65 .8 Mdot .7 .9 Mdot .75 1 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.267442 0.25526 0.488926 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .6 g .08 w .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.511074 0.25526 0.732558 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 g .08 w .25 0 Mdot .275 .05 Mdot .3 .1 Mdot .325 .15 Mdot .35 .2 Mdot .375 .25 Mdot .4 .3 Mdot .425 .35 Mdot .45 .4 Mdot .475 .45 Mdot .5 .5 Mdot .525 .55 Mdot .55 .6 Mdot .575 .65 Mdot .6 .7 Mdot .625 .75 Mdot .65 .8 Mdot .675 .85 Mdot .7 .9 Mdot .725 .95 Mdot .75 1 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.754707 0.25526 0.97619 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .4 g .08 w .275 .05 Mdot .33125 .1625 Mdot .3875 .275 Mdot .44375 .3875 Mdot .5 .5 Mdot .55625 .6125 Mdot .6125 .725 Mdot .66875 .8375 Mdot .725 .95 Mdot MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{427.312, 208.625}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgVOol0039oo`DU:LYoo`D< HjEoo`008goo3`001BDYOol536<_Ool00`00Oomoo`0POol00`00Oomo o`0>Ool5000_Ool00`00Oomoo`09Ool002=oo`03001oogoo015oo`Ool30004Ool20003Ool30003Ool00`00Oomoo`0AOol36Ool30004Ool20003 Ool30003Ool00`00Oomoo`12Ool00`00Oomoo`09Ool0019oo`03001oogoo00=oo`8000Ioo`04001o ogoo000BOol59BT]Ool00`00Oomoo`0?Ool00`00Oomoo`03Ool20006Ool01000Oomoo`004Woo1AS6 ;Goo00<007ooOol03Woo00<007ooOol00goo0P001Woo00@007ooOol0019oo`DOol00`00Oomoo`08 Ool00`00Oomoo`03Ool00`00Oomoo`0AOol536Ool01000 Oomoo`000goo0P001Woo00@007ooOol004Aoo`03001oogoo00eoo`04001oogoo0003Ool20006Ool0 1000Oomoo`006Woo1@aS9Goo00<007ooOol03Woo00@007ooOol000=oo`8000Ioo`04001oogoo000J Ool5000UOol00`00Oomoo`09Ool000]oo`D00005Ool007ooOol0000;Ool01000Oomoo`007Goo0bDY 97oo00<007ooOol027oo1@0000Eoo`00Oomoo`0000]oo`04001oogoo0013Ool20009Ool500001Goo 001oogoo00002goo00<007ooOol00P006Goo1PaS97oo00<007ooOol027oo1@0000Eoo`00Oomoo`00 00]oo`04001oogoo000JOol5000UOol00`00Oomoo`09Ool0015oo`04001oogoo0008Ool30003Ool0 0`00Oomoo`0JOol59BTSOol00`00Oomoo`0>Ool01000Oomoo`0027oo0`000goo00<007ooOol0@Woo 00<007ooOol03Goo00@007ooOol000Qoo`<000=oo`03001oogoo01Uoo`HOol01000Oomoo`00 27oo00<007ooOol00goo00<007ooOol0@Woo00<007ooOol03Goo00@007ooOol000Qoo`03001oogoo 00=oo`03001oogoo01Yoo`D Ool20004Ool20003Ool30003Ool00`00Oomoo`0QOol536 Ool01000Oomoo`0027oo0`000goo00<007ooOol08Woo1@006goo00<007ooOol02Goo000AOol01000 Oomoo`0027oo00<007ooOol00goo00<007ooOol0@Woo00<007ooOol03Woo00@007ooOol000Qoo`03 001oogoo00=oo`03001oogoo049oo`03001oogoo00eoo`04001oogoo0008Ool00`00Oomoo`03Ool0 0`00Oomoo`0SOol536Ool01000Oomoo`0027oo00<007ooOol00goo00<007oo Ool08Woo1@006goo00<007ooOol02Goo000BOol20009Ool40002Ool00`00Oomoo`12Ool00`00Oomo o`0?Ool20009Ool40002Ool00`00Oomoo`0TOol36Ool20009Ool40002Ool0 0`00Oomoo`0SOol536Ool00`00Oomoo`03Ool20006Ool01000Oomoo`00;7oo1@aS4goo00<007ooOol03goo00<007oo Ool00goo0P001Woo00@007ooOol004Aoo`03001oogoo00Uoo`004Woo00<007ooOol02goo00@007oo Ool002ioo`Ool00`00Oomoo`08Ool30003Ool00`00Oomoo`0[Ool536Ool5Ool00`00Oomoo`03Ool20006Ool0 1000Oomoo`004Woo1Cg_;Goo00<007ooOol03goo00<007ooOol00goo0P001Woo00@007ooOol004Ao o`03001oogoo00Uoo`002goo1@000Woo00<007ooOol02goo00@007ooOol0019oo`EJeReoo`03001o ogoo00Qoo`D0009oo`03001oogoo00]oo`04001oogoo0013Ool20009Ool50002Ool00`00Oomoo`0; Ool00`00Oomoo`02000AOol5?Nl]Ool00`00Oomoo`08Ool50002Ool00`00Oomoo`0;Ool01000Oomo o`00A7oo00<007ooOol02Goo000BOol00`00Oomoo`08Ool30003Ool00`00Oomoo`0AOol3F]H^Ool0 0`00Oomoo`0?Ool00`00Oomoo`08Ool30003Ool00`00Oomoo`12Ool00`00Oomoo`0>Ool00`00Oomo o`08Ool30003Ool00`00Oomoo`0AOol5?Nl/Ool00`00Oomoo`0?Ool00`00Oomoo`08Ool30003Ool0 0`00Oomoo`0BOol3Ool20004Ool20003Ool30003Ool00`00Oomoo`0HOol5?NlU Ool00`00Oomoo`0?Ool20004Ool20003Ool30003Ool00`00Oomoo`12Ool00`00Oomoo`09Ool0015o o`04001oogoo0003Ool20006Ool01000Oomoo`00A7oo00<007ooOol03Woo00@007ooOol000=oo`80 00Ioo`04001oogoo0014Ool00`00Oomoo`0=Ool01000Oomoo`000goo0P001Woo00@007ooOol001Yo o`DmkbEoo`03001oogoo00ioo`04001oogoo0003Ool20006Ool01000Oomoo`0077oo0c6<9Goo00<0 07ooOol02Goo000;Ool500001Goo001oogoo00002goo00@007ooOol001eoo`=JeRAoo`03001oogoo 00Qoo`D00005Ool007ooOol0000;Ool01000Oomoo`00@goo0P002Goo1@0000Eoo`00Oomoo`0000]o o`03001oogoo008001Yoo`DmkbAoo`03001oogoo00Qoo`D00005Ool007ooOol0000;Ool01000Oomo o`006goo1C6<97oo00<007ooOol02Goo000AOol01000Oomoo`0027oo0`000goo00<007ooOol06Woo 1E[F8goo00<007ooOol03Woo00@007ooOol000Qoo`<000=oo`03001oogoo049oo`03001oogoo00eo o`04001oogoo0008Ool30003Ool00`00Oomoo`0JOol5?NlSOol00`00Oomoo`0>Ool01000Oomoo`00 27oo0`000goo00<007ooOol06Goo1C6<97oo00<007ooOol02Goo000AOol01000Oomoo`0027oo00<0 07ooOol00goo00<007ooOol06Woo1E[F8goo00<007ooOol03Woo00@007ooOol000Qoo`03001oogoo 00=oo`03001oogoo049oo`03001oogoo00eoo`04001oogoo0008Ool00`00Oomoo`03Ool00`00Oomo o`0JOol5?NlSOol00`00Oomoo`0>Ool01000Oomoo`0027oo00<007ooOol00goo00<007ooOol06Goo 1C6<97oo00<007ooOol02Goo000BOol20009Ool40002Ool00`00Oomoo`0JOol5F]HSOol00`00Oomo o`0?Ool20009Ool40002Ool00`00Oomoo`12Ool00`00Oomoo`0>Ool20009Ool40002Ool00`00Oomo o`0JOol6?NlROol00`00Oomoo`0?Ool20009Ool40002Ool00`00Oomoo`0JOol3Ool01000Oomoo`000goo0P001Woo00@007ooOol002=oo`DaS1aoo`03 001oogoo00Uoo`004Goo00@007ooOol000]oo`04001oogoo000TOol3F]HMOol00`00Oomoo`0>Ool0 1000Oomoo`002goo00@007ooOol004=oo`8000moo`04001oogoo000;Ool00`00Oomoo`02000SOol5 ?NlKOol00`00Oomoo`0>Ool01000Oomoo`002goo00@007ooOol002=oo`DaS1aoo`03001oogoo00Uo o`004Goo00@007ooOol000Qoo`<000=oo`03001oogoo049oo`03001oogoo00ioo`04001oogoo0008 Ool30003Ool00`00Oomoo`12Ool00`00Oomoo`0=Ool01000Oomoo`0027oo0`000goo00<007ooOol0 8goo1Cg_6Woo00<007ooOol03Woo00@007ooOol000Qoo`<000=oo`03001oogoo029oo`Ool2000:Ool40002Ool00`00Oomo o`12Ool00`00Oomoo`0=Ool2000:Ool40002Ool00`00Oomoo`0[Ool5?NlBOol00`00Oomoo`0>Ool2 000:Ool40002Ool00`00Oomoo`12Ool00`00Oomoo`09Ool002=oo`03001oogoo02aoo`=JeQ=oo`03 001oogoo021oo`03001oogoo049oo`03001oogoo01moo`03001oogoo02aoo`Dmka5oo`03001oogoo 021oo`03001oogoo02ioo`"], ImageRangeCache->{{{0, 426.312}, {207.625, 0}} -> {-0.105819, -0.0488475, 0.00987924, 0.00987924}, {{10.6875, 104.812}, {202.625, 108.5}} -> {-4.05696, -2.88204, 0.0578577, 0.0578577}, {{114.25, 208.438}, { 202.625, 108.5}} -> {-10.0417, -2.87947, 0.0578061, 0.0578061}, {{217.812, 312}, {202.625, 108.5}} -> {-16.0283, -2.87947, 0.0578061, 0.0578061}, {{ 321.438, 415.562}, {202.625, 108.5}} -> {-22.0362, -2.88204, 0.0578577, 0.0578577}, {{10.6875, 104.812}, {99.0625, 4.9375}} -> {-4.05696, -8.87393, 0.0578577, 0.0578577}, {{114.25, 208.438}, {99.0625, 4.9375}} -> {-10.0417, -8.86601, 0.0578061, 0.0578061}, {{217.812, 312}, { 99.0625, 4.9375}} -> {-16.0283, -8.86601, 0.0578061, 0.0578061}, {{321.438, 415.562}, {99.0625, 4.9375}} -> {-22.0362, -8.87393, 0.0578577, 0.0578577}}] }, Open ]], Cell[TextData[{ "For this transformation, all the points on the set S[2] go to (0, 0). Now \ the transformation ", StyleBox["T5", "Input", FontWeight->"Plain"], ":" }], "Text"], Cell["T5s[n_] := trans[T5, s[n]]; ", "Input"], Cell["T5sPlot[n_] := newDrawPoints[T5s[n], (8 - n)/10, 0.08]; ", "Input"], Cell[CellGroupData[{ Cell["\<\ Show[GraphicsArray[{Table[T5sPlot[n], {n, 4}], Table[T5sPlot[n], {n, 5, 8}]}], DisplayFunction -> $DisplayFunction]; \ \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .48837 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 0.238095 0.0116279 0.238095 [ [ 0 0 0 0 ] [ 1 .48837 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .48837 L 0 .48837 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0116279 0.245293 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .3 g .08 w 0 .5 Mdot .05 .5 Mdot .1 .5 Mdot .15 .5 Mdot .2 .5 Mdot .25 .5 Mdot .3 .5 Mdot .35 .5 Mdot .4 .5 Mdot .45 .5 Mdot .5 .5 Mdot .55 .5 Mdot .6 .5 Mdot .65 .5 Mdot .7 .5 Mdot .75 .5 Mdot .8 .5 Mdot .85 .5 Mdot .9 .5 Mdot .95 .5 Mdot 1 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.267442 0.0116279 0.488926 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .2 g .08 w .125 .5 Mdot .1625 .5 Mdot .2 .5 Mdot .2375 .5 Mdot .275 .5 Mdot .3125 .5 Mdot .35 .5 Mdot .3875 .5 Mdot .425 .5 Mdot .4625 .5 Mdot .5 .5 Mdot .5375 .5 Mdot .575 .5 Mdot .6125 .5 Mdot .65 .5 Mdot .6875 .5 Mdot .725 .5 Mdot .7625 .5 Mdot .8 .5 Mdot .8375 .5 Mdot .875 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.511074 0.0116279 0.732558 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .1 g .08 w 1 .5 Mdot .95 .5 Mdot .9 .5 Mdot .85 .5 Mdot .8 .5 Mdot .75 .5 Mdot .7 .5 Mdot .65 .5 Mdot .6 .5 Mdot .55 .5 Mdot .5 .5 Mdot .45 .5 Mdot .4 .5 Mdot .35 .5 Mdot .3 .5 Mdot .25 .5 Mdot .2 .5 Mdot .15 .5 Mdot .1 .5 Mdot .05 .5 Mdot 0 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.754707 0.0116279 0.97619 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .08 w 0 .5 Mdot .05 .5 Mdot .1 .5 Mdot .15 .5 Mdot .2 .5 Mdot .25 .5 Mdot .3 .5 Mdot .35 .5 Mdot .4 .5 Mdot .45 .5 Mdot .5 .5 Mdot .55 .5 Mdot .6 .5 Mdot .65 .5 Mdot .7 .5 Mdot .75 .5 Mdot .8 .5 Mdot .85 .5 Mdot .9 .5 Mdot .95 .5 Mdot 1 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.0238095 0.25526 0.245293 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .7 g .08 w .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot .5 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.267442 0.25526 0.488926 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .6 g .08 w 1 .5 Mdot .95 .5 Mdot .9 .5 Mdot .85 .5 Mdot .8 .5 Mdot .75 .5 Mdot .7 .5 Mdot .65 .5 Mdot .6 .5 Mdot .55 .5 Mdot .5 .5 Mdot .45 .5 Mdot .4 .5 Mdot .35 .5 Mdot .3 .5 Mdot .25 .5 Mdot .2 .5 Mdot .15 .5 Mdot .1 .5 Mdot .05 .5 Mdot 0 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.511074 0.25526 0.732558 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 g .08 w 0 .5 Mdot .05 .5 Mdot .1 .5 Mdot .15 .5 Mdot .2 .5 Mdot .25 .5 Mdot .3 .5 Mdot .35 .5 Mdot .4 .5 Mdot .45 .5 Mdot .5 .5 Mdot .55 .5 Mdot .6 .5 Mdot .65 .5 Mdot .7 .5 Mdot .75 .5 Mdot .8 .5 Mdot .85 .5 Mdot .9 .5 Mdot .95 .5 Mdot 1 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.754707 0.25526 0.97619 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .4 g .08 w .875 .5 Mdot .8375 .5 Mdot .8 .5 Mdot .7625 .5 Mdot .725 .5 Mdot .6875 .5 Mdot .65 .5 Mdot .6125 .5 Mdot .575 .5 Mdot .5375 .5 Mdot .5 .5 Mdot .4625 .5 Mdot .425 .5 Mdot .3875 .5 Mdot .35 .5 Mdot .3125 .5 Mdot .275 .5 Mdot .2375 .5 Mdot .2 .5 Mdot .1625 .5 Mdot .125 .5 Mdot MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{409.312, 199.812}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol00`00Oomoo`03Ool2 0006Ool01000Oomoo`00@7oo00<007ooOol02Goo000;Ool50002Ool00`00Oomoo`0;Ool01000Oomo o`00?goo0P002Goo1@000Woo00<007ooOol02goo00@007ooOol0041oo`03001oogoo00Moo`D0009o o`03001oogoo00]oo`04001oogoo0010Ool00`00Oomoo`07Ool50002Ool00`00Oomoo`0;Ool00`00 Oomoo`02000oOol00`00Oomoo`09Ool0019oo`03001oogoo00Qoo`<000=oo`03001oogoo03ioo`03 001oogoo00ioo`03001oogoo00Qoo`<000=oo`03001oogoo03ioo`03001oogoo00ioo`03001oogoo 00Qoo`<000=oo`03001oogoo03ioo`03001oogoo00ioo`03001oogoo00Qoo`<000=oo`03001oogoo 03ioo`03001oogoo00Uoo`004Woo00<007ooOol027oo00<007ooOol00goo00<007ooOol0?Woo00<0 07ooOol03Woo00<007ooOol027oo00<007ooOol00goo00<007ooOol0?Woo00<007ooOol03Woo00<0 07ooOol027oo00<007ooOol00goo00<007ooOol0?Woo00<007ooOol03Woo00<007ooOol027oo00<0 07ooOol00goo00<007ooOol0?Woo00<007ooOol02Goo000AOol2000:Ool40002Ool00`00Oomoo`0n Ool00`00Oomoo`0=Ool2000:Ool40002Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool2000:Ool40002 Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool2000:Ool40002Ool00`00Oomoo`0nOol00`00Oomoo`09 Ool002=oo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001o ogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo00Uoo`008goo00<007ooOol0?Woo 00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo 00<007ooOol0?Woo00<007ooOol02Goo000MOol30003Ool00`00Oomoo`0nOol00`00Oomoo`0IOol3 0003Ool00`00Oomoo`0nOol00`00Oomoo`0IOol30003Ool00`00Oomoo`0nOol00`00Oomoo`0IOol3 0003Ool00`00Oomoo`0nOol00`00Oomoo`09Ool001ioo`03001oogoo009oo`03001oogoo03ioo`03 001oogoo01Yoo`03001oogoo009oo`03001oogoo03ioo`03001oogoo01Yoo`03001oogoo009oo`03 001oogoo03ioo`03001oogoo01Yoo`03001oogoo009oo`03001oogoo03ioo`03001oogoo00Uoo`00 5goo1@000Woo00<007ooOol00Woo00<007ooOol0?Goo0P005Goo1@000Woo00<007ooOol00Woo00<0 07ooOol0?Woo00<007ooOol04goo1@000Woo00<007ooOol00Woo00<007ooOol0?Woo00<007ooOol0 4goo1@000Woo00<007ooOol00Woo0P00?goo00<007ooOol02Goo000NOol00`00Oomoo`02Ool00`00 Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00 Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00 Oomoo`09Ool001ioo`03001oogoo009oo`03001oogoo03ioo`03001oogoo01Yoo`03001oogoo009o o`03001oogoo03ioo`03001oogoo01Yoo`03001oogoo009oo`03001oogoo03ioo`03001oogoo01Yo o`03001oogoo009oo`03001oogoo03ioo`03001oogoo00Uoo`007Goo0P0017oo00<007ooOol0?Woo 00<007ooOol06Goo0P0017oo00<007ooOol0?Woo00<007ooOol06Goo0P0017oo00<007ooOol0?Woo 00<007ooOol06Goo0P0017oo00<007ooOol0?Woo00<007ooOol02Goo000SOol00`00Oomoo`0nOol0 0`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol0 0`00Oomoo`0nOol00`00Oomoo`09Ool002=oo`03001oogoo03ioo`03001oogoo01moo`03001oogoo 03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo 00Uoo`004Woo0P0017oo0P000goo0`000goo00<007ooOol0?Woo00<007ooOol03Woo0P0017oo0P00 0goo0`000goo00<007ooOol0?Woo00<007ooOol03Woo0P0017oo0P000goo0`000goo00<007ooOol0 ?Woo00<007ooOol03Woo0P0017oo0P000goo0`000goo00<007ooOol0?Woo00<007ooOol02Goo000A Ool01000Oomoo`000goo0P001Woo00@007ooOol0041oo`03001oogoo00eoo`04001oogoo0003Ool2 0006Ool01000Oomoo`00@7oo00<007ooOol03Goo00@007ooOol000=oo`8000Ioo`04001oogoo0010 Ool00`00Oomoo`0=Ool01000Oomoo`000goo0P001Woo00@007ooOol0041oo`03001oogoo00Uoo`00 2goo1@0000Eoo`00Oomoo`0000]oo`04001oogoo000oOol20009Ool500001Goo001oogoo00002goo 00@007ooOol0041oo`03001oogoo00Moo`D00005Ool007ooOol0000;Ool01000Oomoo`00@7oo00<0 07ooOol01goo1@0000Eoo`00Oomoo`0000]oo`03001oogoo008003moo`03001oogoo00Uoo`004Goo 00@007ooOol000Qoo`<000=oo`03001oogoo03ioo`03001oogoo00eoo`04001oogoo0008Ool30003 Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool01000Oomoo`0027oo0`000goo00<007ooOol0?Woo00<0 07ooOol03Goo00@007ooOol000Qoo`<000=oo`03001oogoo03ioo`03001oogoo00Uoo`004Goo00@0 07ooOol000Qoo`03001oogoo00=oo`03001oogoo03ioo`03001oogoo00eoo`04001oogoo0008Ool0 0`00Oomoo`03Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool01000Oomoo`0027oo00<007ooOol00goo 00<007ooOol0?Woo00<007ooOol03Goo00@007ooOol000Qoo`03001oogoo00=oo`03001oogoo03io o`03001oogoo00Uoo`004Woo0P002Goo10000Woo00<007ooOol0?Woo00<007ooOol03Woo0P002Goo 10000Woo00<007ooOol0?Woo00<007ooOol03Woo0P002Goo10000Woo00<007ooOol0?Woo00<007oo Ool03Woo0P002Goo10000Woo00<007ooOol0?Woo00<007ooOol02Goo000SOol00`00Oomoo`0nOol0 0`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol0 0`00Oomoo`0nOol00`00Oomoo`09Ool002=oo`03001oogoo03ioo`03001oogoo01moo`03001oogoo 03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo 00Uoo`007Woo0P000Woo32DY00=oobDY9BT02RDY00=oobDY9BT02RDY00=oobDY9BT02RDY00=oobDY 9BT02RDY00AoobDY9BTU:A]oo`8000=oo`03001oogoo00Aooc@HaPIoo`03001oogoo01Yoo`80009o o`TOol00`00Oomoo`03Ool20006Ool01000Oomoo`00@7oo00<007ooOol03Woo00<007oo Ool00goo0P001Woo00@007ooOol0041oo`03001oogoo00Uoo`004Woo00<007ooOol02goo00@007oo Ool003moo`80011oo`03001oogoo00]oo`04001oogoo0010Ool00`00Oomoo`0>Ool00`00Oomoo`0; Ool01000Oomoo`00@7oo00<007ooOol03Woo00<007ooOol02goo00<007ooOol00P00?goo00<007oo Ool02Goo000BOol00`00Oomoo`08Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool00`00Oomo o`08Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool00`00Oomoo`08Ool30003Ool00`00Oomo o`0nOol00`00Oomoo`0>Ool00`00Oomoo`08Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`09Ool0 019oo`03001oogoo00Qoo`03001oogoo00=oo`03001oogoo03ioo`03001oogoo00ioo`03001oogoo 00Qoo`03001oogoo00=oo`03001oogoo03ioo`03001oogoo00ioo`03001oogoo00Qoo`03001oogoo 00=oo`03001oogoo03ioo`03001oogoo00ioo`03001oogoo00Qoo`03001oogoo00=oo`03001oogoo 03ioo`03001oogoo00Uoo`004Goo0P002Woo10000Woo00<007ooOol0?Woo00<007ooOol03Goo0P00 2Woo10000Woo00<007ooOol0?Woo00<007ooOol03Goo0P002Woo10000Woo00<007ooOol0?Woo00<0 07ooOol03Goo0P002Woo10000Woo00<007ooOol0?Woo00<007ooOol02Goo000SOol00`00Oomoo`0n Ool00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0O Ool00`00Oomoo`0nOol00`00Oomoo`09Ool002=oo`03001oogoo03ioo`03001oogoo01moo`03001o ogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001o ogoo00Uoo`007Goo10000Woo00<007ooOol0?Woo00<007ooOol06Goo10000Woo00<007ooOol0?Woo 00<007ooOol06Goo10000Woo00<007ooOol0?Woo00<007ooOol06Goo10000Woo00<007ooOol0?Woo 00<007ooOol02Goo000NOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00Oomo o`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomo o`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`09Ool001moo`04001oogooOom2000M Ool01000Oomoogoo@P007Goo00@007ooOomood8001eoo`04001oogooOom2000;Ool0021oo`03001o ogoo061oo`03001oogoo061oo`03001oogoo061oo`03001oogoo04eoo`007Goo00@007ooOol005mo o`04001oogoo001OOol01000Oomoo`00Ggoo00@007ooOol004moo`007Woo0P00HGoo0P00HGoo0P00 HGoo0P00D7oo003oOonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mooiYoo`00ogooVWoo003o OonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mooiYo o`00ogooVWoo003oOonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mooiYoo`00ogooVWoo003o OonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mooiYo o`00ogooVWoo000SOom2000QOom2000QOom2000QOom2000;Ool002=oo`03001oogoo03ioo`03001o ogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001o ogoo03ioo`03001oogoo00Uoo`008goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo 00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol02Goo 000SOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomo o`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`09Ool002=oo`03001oogoo03ioo`03 001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03 001oogoo03ioo`03001oogoo00Uoo`008goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0 ?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol0 2Goo000AOol30004Ool20003Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool30004Ool20003 Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool30004Ool20003Ool30003Ool00`00Oomoo`0n Ool00`00Oomoo`0=Ool30004Ool20003Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`09Ool0019o o`03001oogoo00=oo`8000Ioo`04001oogoo0010Ool00`00Oomoo`0>Ool00`00Oomoo`03Ool20006 Ool01000Oomoo`00@7oo00<007ooOol03Woo00<007ooOol00goo0P001Woo00@007ooOol0041oo`03 001oogoo00ioo`03001oogoo00=oo`8000Ioo`04001oogoo0010Ool00`00Oomoo`09Ool000]oo`D0 009oo`03001oogoo00]oo`04001oogoo000oOol20009Ool50002Ool00`00Oomoo`0;Ool01000Oomo o`00@7oo00<007ooOol01goo1@000Woo00<007ooOol02goo00@007ooOol0041oo`03001oogoo00Mo o`D0009oo`03001oogoo00]oo`03001oogoo008003moo`03001oogoo00Uoo`004Woo00<007ooOol0 27oo0`000goo00<007ooOol0?Woo00<007ooOol03Woo00<007ooOol027oo0`000goo00<007ooOol0 ?Woo00<007ooOol03Woo00<007ooOol027oo0`000goo00<007ooOol0?Woo00<007ooOol03Woo00<0 07ooOol027oo0`000goo00<007ooOol0?Woo00<007ooOol02Goo000BOol00`00Oomoo`08Ool00`00 Oomoo`03Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool00`00Oomoo`08Ool00`00Oomoo`03Ool00`00 Oomoo`0nOol00`00Oomoo`0>Ool00`00Oomoo`08Ool00`00Oomoo`03Ool00`00Oomoo`0nOol00`00 Oomoo`0>Ool00`00Oomoo`08Ool00`00Oomoo`03Ool00`00Oomoo`0nOol00`00Oomoo`09Ool0015o o`8000Yoo`@0009oo`03001oogoo03ioo`03001oogoo00eoo`8000Yoo`@0009oo`03001oogoo03io o`03001oogoo00eoo`8000Yoo`@0009oo`03001oogoo03ioo`03001oogoo00eoo`8000Yoo`@0009o o`03001oogoo03ioo`03001oogoo00Uoo`008goo00<007ooOol0?Woo00<007ooOol07goo00<007oo Ool0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007oo Ool02Goo000SOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol0 0`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`09Ool001eoo`<000=oo`03 001oogoo03ioo`03001oogoo01Uoo`<000=oo`03001oogoo03ioo`03001oogoo01Uoo`<000=oo`03 001oogoo03ioo`03001oogoo01Uoo`<000=oo`03001oogoo03ioo`03001oogoo00Uoo`007Woo00<0 07ooOol00Woo00<007ooOol0?Woo00<007ooOol06Woo00<007ooOol00Woo00<007ooOol0?Woo00<0 07ooOol06Woo00<007ooOol00Woo00<007ooOol0?Woo00<007ooOol06Woo00<007ooOol00Woo00<0 07ooOol0?Woo00<007ooOol02Goo000GOol50002Ool00`00Oomoo`02Ool00`00Oomoo`0mOol2000E Ool50002Ool00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0COol50002Ool00`00Oomoo`02 Ool00`00Oomoo`0nOol00`00Oomoo`0COol50002Ool00`00Oomoo`02Ool2000oOol00`00Oomoo`09 Ool001ioo`03001oogoo009oo`03001oogoo03ioo`03001oogoo01Yoo`03001oogoo009oo`03001o ogoo03ioo`03001oogoo01Yoo`03001oogoo009oo`03001oogoo03ioo`03001oogoo01Yoo`03001o ogoo009oo`03001oogoo03ioo`03001oogoo00Uoo`007Woo00<007ooOol00Woo00<007ooOol0?Woo 00<007ooOol06Woo00<007ooOol00Woo00<007ooOol0?Woo00<007ooOol06Woo00<007ooOol00Woo 00<007ooOol0?Woo00<007ooOol06Woo00<007ooOol00Woo00<007ooOol0?Woo00<007ooOol02Goo 000MOol20004Ool00`00Oomoo`0nOol00`00Oomoo`0IOol20004Ool00`00Oomoo`0nOol00`00Oomo o`0IOol20004Ool00`00Oomoo`0nOol00`00Oomoo`0IOol20004Ool00`00Oomoo`0nOol00`00Oomo o`09Ool002=oo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03 001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo00Uoo`008goo00<007ooOol0 ?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol0 7goo00<007ooOol0?Woo00<007ooOol02Goo000BOol20004Ool20003Ool30003Ool00`00Oomoo`0n Ool00`00Oomoo`0>Ool20004Ool20003Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool20004 Ool20003Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool20004Ool20003Ool30003Ool00`00 Oomoo`0nOol00`00Oomoo`09Ool0015oo`04001oogoo0003Ool20006Ool01000Oomoo`00@7oo00<0 07ooOol03Goo00@007ooOol000=oo`8000Ioo`04001oogoo0010Ool00`00Oomoo`0=Ool01000Oomo o`000goo0P001Woo00@007ooOol0041oo`03001oogoo00eoo`04001oogoo0003Ool20006Ool01000 Oomoo`00@7oo00<007ooOol02Goo000;Ool500001Goo001oogoo00002goo00@007ooOol003moo`80 00Uoo`D00005Ool007ooOol0000;Ool01000Oomoo`00@7oo00<007ooOol01goo1@0000Eoo`00Oomo o`0000]oo`04001oogoo0010Ool00`00Oomoo`07Ool500001Goo001oogoo00002goo00<007ooOol0 0P00?goo00<007ooOol02Goo000AOol01000Oomoo`0027oo0`000goo00<007ooOol0?Woo00<007oo Ool03Goo00@007ooOol000Qoo`<000=oo`03001oogoo03ioo`03001oogoo00eoo`04001oogoo0008 Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool01000Oomoo`0027oo0`000goo00<007ooOol0 ?Woo00<007ooOol02Goo000AOol01000Oomoo`0027oo00<007ooOol00goo00<007ooOol0?Woo00<0 07ooOol03Goo00@007ooOol000Qoo`03001oogoo00=oo`03001oogoo03ioo`03001oogoo00eoo`04 001oogoo0008Ool00`00Oomoo`03Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool01000Oomoo`0027oo 00<007ooOol00goo00<007ooOol0?Woo00<007ooOol02Goo000BOol20009Ool40002Ool00`00Oomo o`0nOol00`00Oomoo`0>Ool20009Ool40002Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool20009Ool4 0002Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool20009Ool40002Ool00`00Oomoo`0nOol00`00Oomo o`09Ool002=oo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03 001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo00Uoo`008goo00<007ooOol0 ?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol0 7goo00<007ooOol0?Woo00<007ooOol02Goo000NOol20003Ool00`00Oomoo`0nOol00`00Oomoo`0J Ool20003Ool00`00Oomoo`0nOol00`00Oomoo`0JOol20003Ool00`00Oomoo`0nOol00`00Oomoo`0J Ool20003Ool00`00Oomoo`0nOol00`00Oomoo`09Ool001eoo`04001oogoo0002Ool00`00Oomoo`0L Ool3F]HOOol00`00Oomoo`0IOol01@00Oomoo`00Ool034ic00=oodicCW<01dic00=oodicCW<02Tic 00=oodicCW<02Tic00=oodicCW<02Tic00=oodicCW<014ic6Woo00D007ooOol007oo00Tmk`03Oolm kcg_00Xmk`03Oolmkcg_00Lmk`03Oolmkcg_00Xmk`03Oolmkcg_00Xmk`03Oolmkcg_00LmkaYoo`04 001oogoo0002Ool00`00Oomoo`04OoldL`03Oom>Ldic00M>L`03Oom>Ldic00Y>L`03Oom>Ldic 00Y>L`03Oom>Ldic00Y>L`03Oom>Ldic00A>La]oo`80009oo`Tmk`03Oolmkcg_00Xmk`03Oolmkcg_ 00Lmk`03Oolmkcg_00Xmk`03Oolmkcg_00Xmk`03Oolmkcg_00Lmka]oo`8000=oo`03001oogoo00Ao oc@aS0Ioo`03001oogoo00Uoo`008goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo 00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol02Goo 000SOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomo o`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`09Ool002=oo`03001oogoo03ioo`03 001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03 001oogoo03ioo`03001oogoo00Uoo`004Woo0P0017oo0P000goo0`000goo00<007ooOol0?Woo00<0 07ooOol03Woo0P0017oo0P000goo0`000goo00<007ooOol0?Woo00<007ooOol03Woo0P0017oo0P00 0goo0`000goo00<007ooOol0?Woo00<007ooOol03Woo0P0017oo0P000goo0`000goo00<007ooOol0 ?Woo00<007ooOol02Goo000AOol01000Oomoo`000goo0P001Woo00@007ooOol0041oo`03001oogoo 00eoo`04001oogoo0003Ool20006Ool01000Oomoo`00@7oo00<007ooOol03Goo00@007ooOol000=o o`8000Ioo`04001oogoo0010Ool00`00Oomoo`0=Ool01000Oomoo`000goo0P001Woo00@007ooOol0 041oo`03001oogoo00Uoo`004Goo00@007ooOol000]oo`04001oogoo000oOol2000?Ool01000Oomo o`002goo00@007ooOol0041oo`03001oogoo00eoo`04001oogoo000;Ool01000Oomoo`00@7oo00<0 07ooOol03Goo00@007ooOol000]oo`03001oogoo008003moo`03001oogoo00Uoo`004Goo00@007oo Ool000Qoo`<000=oo`03001oogoo03ioo`03001oogoo00eoo`04001oogoo0008Ool30003Ool00`00 Oomoo`0nOol00`00Oomoo`0=Ool01000Oomoo`0027oo0`000goo00<007ooOol0?Woo00<007ooOol0 3Goo00@007ooOol000Qoo`<000=oo`03001oogoo03ioo`03001oogoo00Uoo`004Goo00@007ooOol0 00Qoo`03001oogoo00=oo`03001oogoo03ioo`03001oogoo00eoo`04001oogoo0008Ool00`00Oomo o`03Ool00`00Oomoo`0nOol00`00Oomoo`0=Ool01000Oomoo`0027oo00<007ooOol00goo00<007oo Ool0?Woo00<007ooOol03Goo00@007ooOol000Qoo`03001oogoo00=oo`03001oogoo03ioo`03001o ogoo00Uoo`004Woo0P002Goo10000Woo00<007ooOol0?Woo00<007ooOol03Woo0P002Goo10000Woo 00<007ooOol0?Woo00<007ooOol03Woo0P002Goo10000Woo00<007ooOol0?Woo00<007ooOol03Woo 0P002Goo10000Woo00<007ooOol0?Woo00<007ooOol02Goo000SOol00`00Oomoo`0nOol00`00Oomo o`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomo o`0nOol00`00Oomoo`09Ool002=oo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03 001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo00Uoo`00 7Goo0`000goo00<007ooOol0?Woo00<007ooOol06Goo0`000goo00<007ooOol0?Woo00<007ooOol0 6Goo0`000goo00<007ooOol0?Woo00<007ooOol06Goo0`000goo00<007ooOol0?Woo00<007ooOol0 2Goo000NOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00 Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00 Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`09Ool001ioo`03001oogoo009oo`03001oogoo03eo o`8001aoo`03001oogoo009oo`03001oogoo03ioo`03001oogoo01Yoo`03001oogoo009oo`03001o ogoo03ioo`03001oogoo01Yoo`03001oogoo009oo`8003moo`03001oogoo00Uoo`007Woo00<007oo Ool00Woo00<007ooOol0?Woo00<007ooOol06Woo00<007ooOol00Woo00<007ooOol0?Woo00<007oo Ool06Woo00<007ooOol00Woo00<007ooOol0?Woo00<007ooOol06Woo00<007ooOol00Woo00<007oo Ool0?Woo00<007ooOol02Goo000NOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol0 0`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol0 0`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`09Ool001eoo`8000Aoo`03 001oogoo03ioo`03001oogoo01Uoo`8000Aoo`03001oogoo03ioo`03001oogoo01Uoo`8000Aoo`03 001oogoo03ioo`03001oogoo01Uoo`8000Aoo`03001oogoo03ioo`03001oogoo00Uoo`008goo00<0 07ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<007ooOol07goo00<007ooOol0?Woo00<0 07ooOol07goo00<007ooOol0?Woo00<007ooOol02Goo000SOol00`00Oomoo`0nOol00`00Oomoo`0O Ool00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0n Ool00`00Oomoo`09Ool0015oo`<000Aoo`8000=oo`<000=oo`03001oogoo03ioo`03001oogoo00eo o`<000Aoo`8000=oo`<000=oo`03001oogoo03ioo`03001oogoo00eoo`<000Aoo`8000=oo`<000=o o`03001oogoo03ioo`03001oogoo00eoo`<000Aoo`8000=oo`<000=oo`03001oogoo03ioo`03001o ogoo00Uoo`004Woo00<007ooOol00goo0P001Woo00@007ooOol0041oo`03001oogoo00ioo`03001o ogoo00=oo`8000Ioo`04001oogoo0010Ool00`00Oomoo`0>Ool00`00Oomoo`03Ool20006Ool01000 Oomoo`00@7oo00<007ooOol03Woo00<007ooOol00goo0P001Woo00@007ooOol0041oo`03001oogoo 00Uoo`004Woo00<007ooOol02goo00@007ooOol003moo`80011oo`03001oogoo00]oo`04001oogoo 0010Ool00`00Oomoo`0>Ool00`00Oomoo`0;Ool01000Oomoo`00@7oo00<007ooOol03Woo00<007oo Ool02goo00<007ooOol00P00?goo00<007ooOol02Goo000BOol00`00Oomoo`08Ool30003Ool00`00 Oomoo`0nOol00`00Oomoo`0>Ool00`00Oomoo`08Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0> Ool00`00Oomoo`08Ool30003Ool00`00Oomoo`0nOol00`00Oomoo`0>Ool00`00Oomoo`08Ool30003 Ool00`00Oomoo`0nOol00`00Oomoo`09Ool0019oo`03001oogoo00Qoo`03001oogoo00=oo`03001o ogoo03ioo`03001oogoo00ioo`03001oogoo00Qoo`03001oogoo00=oo`03001oogoo03ioo`03001o ogoo00ioo`03001oogoo00Qoo`03001oogoo00=oo`03001oogoo03ioo`03001oogoo00ioo`03001o ogoo00Qoo`03001oogoo00=oo`03001oogoo03ioo`03001oogoo00Uoo`004Goo0P002Woo10000Woo 00<007ooOol0?Woo00<007ooOol03Goo0P002Woo10000Woo00<007ooOol0?Woo00<007ooOol03Goo 0P002Woo10000Woo00<007ooOol0?Woo00<007ooOol03Goo0P002Woo10000Woo00<007ooOol0?Woo 00<007ooOol02Goo000SOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomo o`0OOol00`00Oomoo`0nOol00`00Oomoo`0OOol00`00Oomoo`0nOol00`00Oomoo`09Ool002=oo`03 001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03001oogoo01moo`03001oogoo03ioo`03 001oogoo01moo`03001oogoo03ioo`03001oogoo00Uoo`007Goo10000Woo00<007ooOol0?Woo00<0 07ooOol06Goo10000Woo00<007ooOol0?Woo00<007ooOol06Goo10000Woo00<007ooOol0?Woo00<0 07ooOol06Goo10000Woo00<007ooOol0?Woo00<007ooOol02Goo000NOol00`00Oomoo`02Ool00`00 Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00 Oomoo`02Ool00`00Oomoo`0nOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0nOol00`00 Oomoo`09Ool001moo`04001oogooOom2000MOol01000Oomoogoo@P007Goo00@007ooOomood8001eo o`04001oogooOom2000;Ool0021oo`03001oogoo061oo`03001oogoo061oo`03001oogoo061oo`03 001oogoo04eoo`007Goo00@007ooOol005moo`04001oogoo001OOol01000Oomoo`00Ggoo00@007oo Ool004moo`007Woo0P00HGoo0P00HGoo0P00HGoo0P00D7oo003oOonJOol00?mooiYoo`00ogooVWoo 003oOonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mooiYoo`00ogooVWoo003oOonJOol00?mo oiYoo`00ogooVWoo003oOonJOol00?mooiYoo`00ogooVWoo003oOonJOol00001\ \>"], ImageRangeCache->{{{0, 408.312}, {198.812, 0}} -> {-0.106307, -0.0488475, 0.0103171, 0.0103171}, {{10.25, 100.438}, {194.062, 103.875}} -> {-4.14976, -2.91779, 0.0613062, 0.0613062}, {{109.438, 199.625}, {194.062, 103.875}} -> {-10.2306, -2.91779, 0.0613062, 0.0613062}, {{208.625, 298.812}, {194.062, 103.875}} -> {-16.3114, -2.91779, 0.0613062, 0.0613062}, {{307.812, 398}, { 194.062, 103.875}} -> {-22.3922, -2.91779, 0.0613062, 0.0613062}, {{10.25, 100.438}, {94.875, 4.6875}} -> {-4.14976, -8.9986, 0.0613062, 0.0613062}, {{ 109.438, 199.625}, {94.875, 4.6875}} -> {-10.2306, -8.9986, 0.0613062, 0.0613062}, {{208.625, 298.812}, {94.875, 4.6875}} -> {-16.3114, -8.9986, 0.0613062, 0.0613062}, {{307.812, 398}, {94.875, 4.6875}} -> {-22.3922, -8.9986, 0.0613062, 0.0613062}}] }, Open ]], Cell[TextData[{ "For this transformation, all the points on the set S[1] go to (0, 0).Now \ the transformation ", StyleBox["T4", "Input", FontWeight->"Plain"], ":" }], "Text"], Cell["T4s[n_] := trans[T4, s[n]]; ", "Input"], Cell["T4sPlot[n_] := newDrawPoints[T4s[n], (8 - n)/10, 0.08]; ", "Input"], Cell[CellGroupData[{ Cell["\<\ Show[GraphicsArray[{Table[T4sPlot[n], {n, 4}], Table[T4sPlot[n], {n, 5, 8}]}], DisplayFunction -> $DisplayFunction]; \ \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .48837 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 0.238095 0.0116279 0.238095 [ [ 0 0 0 0 ] [ 1 .48837 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .48837 L 0 .48837 L closepath clip newpath % Start of sub-graphic p 0.0238095 0.0116279 0.245293 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .3 g .08 w .75 0 Mdot .725 .05 Mdot .7 .1 Mdot .675 .15 Mdot .65 .2 Mdot .625 .25 Mdot .6 .3 Mdot .575 .35 Mdot .55 .4 Mdot .525 .45 Mdot .5 .5 Mdot .475 .55 Mdot .45 .6 Mdot .425 .65 Mdot .4 .7 Mdot .375 .75 Mdot .35 .8 Mdot .325 .85 Mdot .3 .9 Mdot .275 .95 Mdot .25 1 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.267442 0.0116279 0.488926 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .2 g .08 w .95 .275 Mdot .875 .3125 Mdot .8 .35 Mdot .725 .3875 Mdot .65 .425 Mdot .575 .4625 Mdot .5 .5 Mdot .425 .5375 Mdot .35 .575 Mdot .275 .6125 Mdot .2 .65 Mdot .125 .6875 Mdot .05 .725 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.511074 0.0116279 0.732558 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .1 g .08 w 1 1 Mdot .95 .95 Mdot .9 .9 Mdot .85 .85 Mdot .8 .8 Mdot .75 .75 Mdot .7 .7 Mdot .65 .65 Mdot .6 .6 Mdot .55 .55 Mdot .5 .5 Mdot .45 .45 Mdot .4 .4 Mdot .35 .35 Mdot .3 .3 Mdot .25 .25 Mdot .2 .2 Mdot .15 .15 Mdot .1 .1 Mdot .05 .05 Mdot 0 0 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.754707 0.0116279 0.97619 0.233112 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .08 w 1 0 Mdot .95 .05 Mdot .9 .1 Mdot .85 .15 Mdot .8 .2 Mdot .75 .25 Mdot .7 .3 Mdot .65 .35 Mdot .6 .4 Mdot .55 .45 Mdot .5 .5 Mdot .45 .55 Mdot .4 .6 Mdot .35 .65 Mdot .3 .7 Mdot .25 .75 Mdot .2 .8 Mdot .15 .85 Mdot .1 .9 Mdot .05 .95 Mdot 0 1 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.0238095 0.25526 0.245293 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .7 g .08 w 1 .5 Mdot .95 .5 Mdot .9 .5 Mdot .85 .5 Mdot .8 .5 Mdot .75 .5 Mdot .7 .5 Mdot .65 .5 Mdot .6 .5 Mdot .55 .5 Mdot .5 .5 Mdot .45 .5 Mdot .4 .5 Mdot .35 .5 Mdot .3 .5 Mdot .25 .5 Mdot .2 .5 Mdot .15 .5 Mdot .1 .5 Mdot .05 .5 Mdot 0 .5 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.267442 0.25526 0.488926 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .6 g .08 w .75 1 Mdot .725 .95 Mdot .7 .9 Mdot .675 .85 Mdot .65 .8 Mdot .625 .75 Mdot .6 .7 Mdot .575 .65 Mdot .55 .6 Mdot .525 .55 Mdot .5 .5 Mdot .475 .45 Mdot .45 .4 Mdot .425 .35 Mdot .4 .3 Mdot .375 .25 Mdot .35 .2 Mdot .325 .15 Mdot .3 .1 Mdot .275 .05 Mdot .25 0 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.511074 0.25526 0.732558 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 g .08 w .5 0 Mdot .5 .05 Mdot .5 .1 Mdot .5 .15 Mdot .5 .2 Mdot .5 .25 Mdot .5 .3 Mdot .5 .35 Mdot .5 .4 Mdot .5 .45 Mdot .5 .5 Mdot .5 .55 Mdot .5 .6 Mdot .5 .65 Mdot .5 .7 Mdot .5 .75 Mdot .5 .8 Mdot .5 .85 Mdot .5 .9 Mdot .5 .95 Mdot .5 1 Mdot MathSubEnd P % End of sub-graphic % Start of sub-graphic p 0.754707 0.25526 0.97619 0.476744 MathSubStart %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.25 0.5 0.25 [ [ 0 0 -0.125 0 ] [-0.0125 .125 -24 -4.5 ] [-0.0125 .125 0 4.5 ] [-0.0125 .25 -12 -4.5 ] [-0.0125 .25 0 4.5 ] [-0.0125 .375 -24 -4.5 ] [-0.0125 .375 0 4.5 ] [-0.0125 .5 -6 -4.5 ] [-0.0125 .5 0 4.5 ] [-0.0125 .625 -18 -4.5 ] [-0.0125 .625 0 4.5 ] [-0.0125 .75 -6 -4.5 ] [-0.0125 .75 0 4.5 ] [-0.0125 .875 -18 -4.5 ] [-0.0125 .875 0 4.5 ] [-0.0125 1 -6 -4.5 ] [-0.0125 1 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 1 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 0 m 1 0 L s 0 .125 m .00625 .125 L s [(-1.5)] -0.0125 .125 1 0 Mshowa 0 .25 m .00625 .25 L s [(-1)] -0.0125 .25 1 0 Mshowa 0 .375 m .00625 .375 L s [(-0.5)] -0.0125 .375 1 0 Mshowa 0 .5 m .00625 .5 L s [(0)] -0.0125 .5 1 0 Mshowa 0 .625 m .00625 .625 L s [(0.5)] -0.0125 .625 1 0 Mshowa 0 .75 m .00625 .75 L s [(1)] -0.0125 .75 1 0 Mshowa 0 .875 m .00625 .875 L s [(1.5)] -0.0125 .875 1 0 Mshowa 0 1 m .00625 1 L s [(2)] -0.0125 1 1 0 Mshowa .125 Mabswid 0 .025 m .00375 .025 L s 0 .05 m .00375 .05 L s 0 .075 m .00375 .075 L s 0 .1 m .00375 .1 L s 0 .15 m .00375 .15 L s 0 .175 m .00375 .175 L s 0 .2 m .00375 .2 L s 0 .225 m .00375 .225 L s 0 .275 m .00375 .275 L s 0 .3 m .00375 .3 L s 0 .325 m .00375 .325 L s 0 .35 m .00375 .35 L s 0 .4 m .00375 .4 L s 0 .425 m .00375 .425 L s 0 .45 m .00375 .45 L s 0 .475 m .00375 .475 L s 0 .525 m .00375 .525 L s 0 .55 m .00375 .55 L s 0 .575 m .00375 .575 L s 0 .6 m .00375 .6 L s 0 .65 m .00375 .65 L s 0 .675 m .00375 .675 L s 0 .7 m .00375 .7 L s 0 .725 m .00375 .725 L s 0 .775 m .00375 .775 L s 0 .8 m .00375 .8 L s 0 .825 m .00375 .825 L s 0 .85 m .00375 .85 L s 0 .9 m .00375 .9 L s 0 .925 m .00375 .925 L s 0 .95 m .00375 .95 L s 0 .975 m .00375 .975 L s .25 Mabswid 0 0 m 0 1 L s 0 1 m 1 1 L s .99375 0 m 1 0 L s .99375 .125 m 1 .125 L s .99375 .25 m 1 .25 L s .99375 .375 m 1 .375 L s .99375 .5 m 1 .5 L s .99375 .625 m 1 .625 L s .99375 .75 m 1 .75 L s .99375 .875 m 1 .875 L s .125 Mabswid .99625 .025 m 1 .025 L s .99625 .05 m 1 .05 L s .99625 .075 m 1 .075 L s .99625 .1 m 1 .1 L s .99625 .15 m 1 .15 L s .99625 .175 m 1 .175 L s .99625 .2 m 1 .2 L s .99625 .225 m 1 .225 L s .99625 .275 m 1 .275 L s .99625 .3 m 1 .3 L s .99625 .325 m 1 .325 L s .99625 .35 m 1 .35 L s .99625 .4 m 1 .4 L s .99625 .425 m 1 .425 L s .99625 .45 m 1 .45 L s .99625 .475 m 1 .475 L s .99625 .525 m 1 .525 L s .99625 .55 m 1 .55 L s .99625 .575 m 1 .575 L s .99625 .6 m 1 .6 L s .99625 .65 m 1 .65 L s .99625 .675 m 1 .675 L s .99625 .7 m 1 .7 L s .99625 .725 m 1 .725 L s .99625 .775 m 1 .775 L s .99625 .8 m 1 .8 L s .99625 .825 m 1 .825 L s .99625 .85 m 1 .85 L s .99625 .9 m 1 .9 L s .99625 .925 m 1 .925 L s .99625 .95 m 1 .95 L s .99625 .975 m 1 .975 L s .25 Mabswid 1 0 m 1 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .4 g .08 w .95 .725 Mdot .875 .6875 Mdot .8 .65 Mdot .725 .6125 Mdot .65 .575 Mdot .575 .5375 Mdot .5 .5 Mdot .425 .4625 Mdot .35 .425 Mdot .275 .3875 Mdot .2 .35 Mdot .125 .3125 Mdot .05 .275 Mdot MathSubEnd P % End of sub-graphic % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{402.312, 196.375}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOOol30009Ool0051oo`DU :Hioo`DGoo00<007ooOol07goo 00<007ooOol0=goo1`002Woo000ROol00`00Oomoo`0YOol69BT>Ool00`00Oomoo`0OOol00`00Oomo o`0mOol00`00Oomoo`0NOol00`00OolOol00`00Oomoo`03Ool20006Ool01000Oomo o`00?goo00<007ooOol03Woo00<007ooOol00goo0P001Woo00<007oo000017oo1@aS=Woo00<007oo Ool03Woo00<007ooOol00goo0P001Woo00@007ooOol003Ioo`D000Aoo`03001oogoo00Qoo`002goo 1@000Woo00<007ooOol02goo00@007oo000002Qoo`DU:A5oo`03001oogoo00Moo`D0009oo`03001o ogoo00]oo`04001oogoo000nOol20009Ool50002Ool00`00Oomoo`0;Ool01000Ool0000017oo1PaS =7oo00<007ooOol01goo1@000Woo00<007ooOol02goo00@007ooOol003Aoo`H000Aoo`8000Yoo`00 4Woo00<007ooOol027oo0`000Woo00<007ooOol09Woo1BDY4Woo00<007ooOol03Woo00<007ooOol0 27oo0`000goo00<007ooOol0?Goo00<007ooOol03Woo00<007ooOol027oo0`000Woo00<007ooOol0 1Goo1@aS Ool00`00Oomoo`08Ool00`00Oomoo`03Ool00`00Oomoo`0lOol2000@Ool00`00Oomoo`08Ool00`00 Oomoo`02Ool20006Ool536Ool00`00Oomoo`08Ool00`00Oomoo`03Ool00`00 Oomoo`0aOol50006Ool2000:Ool0015oo`8000Yoo`@00003Ool0000002Moo`DU:A9oo`03001oogoo 00eoo`8000Yoo`@0009oo`03001oogoo03aoo`8000moo`8000Yoo`@00003Ool0000000Ioo`L Ool20004Ool20003Ool30003Ool00`00Oomoo`0TOol5000COol2000:Ool0015oo`04001oogoo0003 Ool20006Ool00`00Ool0000ROol59BTHOol00`00Oomoo`0=Ool01000Oomoo`000goo0P001Woo00@0 07ooOol002aoo`Ool20009Ool40002Ool00`00Oomoo`0POol36Ool5000YOol2000:Ool001eoo`<0009oo`8001Eoo`HU:B=oo`03 001oogoo01Uoo`<000=oo`03000HaQS600Ool00`00Oomoo`0IOol30003Ool00`00Oomoo`0Woo0P0077oo00@007ooOomoo`8002aoo`DOol00`00Oomoo`03Ool20006Ool00`00Ool0000dOol7 36<4Ool00`00Oomoo`0>Ool00`00Oomoo`03Ool20006Ool01000Oomoo`0017oo1`00=7oo00<007oo Ool027oo000BOol00`00Oomoo`0;Ool01000Ool0000047oo1BDY:Goo00<007ooOol03Woo00<007oo Ool02goo00@007ooOol003ioo`80011oo`03001oogoo00]oo`04001oo`00000dOol736<3Ool00`00 Oomoo`0>Ool00`00Oomoo`0;Ool01000Oomoo`000goo1`00=7oo0P002Woo000BOol00`00Oomoo`08 Ool30002Ool2000@Ool59BTYOol00`00Oomoo`0>Ool00`00Oomoo`08Ool30003Ool00`00Oomoo`0l Ool2000@Ool00`00Oomoo`08Ool30002Ool2000fOol536<3Ool00`00Oomoo`0>Ool00`00Oomoo`08 Ool30003Ool01000Oomoogoo1@00=Woo0P002Woo000BOol00`00Oomoo`08Ool00`00Oomoo`02Ool0 0`00Oomoo`0?Ool59BTYOol00`00Oomoo`0>Ool00`00Oomoo`08Ool00`00Oomoo`03Ool00`00Oomo o`0mOol00`00Oomoo`0>Ool00`00Oomoo`08Ool00`00Oomoo`02Ool00`00Oomoo`0eOol536<3Ool0 0`00Oomoo`0>Ool00`00Oomoo`08Ool00`00Oomoo`03Ool01000Oomoogoo1@00=goo00<007ooOol0 27oo000AOol2000:Ool400000goo0000000?Ool59BTZOol00`00Oomoo`0=Ool2000:Ool40002Ool0 0`00Oomoo`0lOol2000?Ool2000:Ool400000goo0000000gOol636<00goo001oo`0>Ool2000:Ool4 0002Ool00`00Ool00005000gOol2000:Ool0029oo`03001oogoo00eoo`DU:B]oo`03001oogoo01mo o`03001oogoo03eoo`03001oogoo01ioo`03001oogoo03Qoo`DGoo1@aS00<007ooOol07goo1P00>Goo0P002Woo000MOol400000goo0000000=Ool69BT[Ool00`00 Oomoo`0IOol40002Ool00`00Oomoo`0lOol2000KOol400000goo0000000iOol736goo1`aS6Woo00<007oo Ool01`00>goo00<007ooOol027oo000OOol00`00Oomoo`0>00059BT^000MOol01000Oomoogoo@@00 7Goo00<007ooOol0?P001@aS6goo00<007oo0000@P002Woo000POol00`00Oomoo`0=Ool59BULbh0021ooah000Dmkah0 025ood4000Yoo`008Woo00<007ooOol0?Goo00<007ooOol07goo00<007ooOol02goo1Dic;Goo00<0 07ooOol07Woo00<007ooOol06goo1Cg_7Goo00<007ooOol07goo00<007ooOol0?Goo00<007ooOol0 27oo000ROol2000nOol00`00Oomoo`0OOol00`00Oomoo`0Lbaoo`03001oogoo01ioo`03001oogoo01]oo`Dmkaeoo`03001oogoo01mo o`03001oogoo03eoo`03001oogoo00Qoo`008Woo0P00?Woo00<007ooOol07goo00<007ooOol037oo 1Dic:goo0P0087oo0P0077oo1Cg_7Goo00<007ooOol07goo00<007ooOol0?7oo0P002Woo000ROol2 000nOol00`00Oomoo`0OOol00`00Oomoo`0LbYoo`03001oogoo00eoo`<0 00Aoo`8000=oo`<0009oo`03001oogoo01]oo`Dmkaeoo`03001oogoo00eoo`<000Aoo`8000=oo`<0 00=oo`03001oogoo03eoo`03001oogoo00Qoo`004Woo00<007ooOol00goo0P001Woo00@007oo0000 03ioo`03001oogoo00ioo`03001oogoo00=oo`8000Ioo`04001oogoo000@Ool5CWOol00`00Oomoo`08Ool00`00Oomoo`03Ool00`00Oomoo`0@Ool5CWOol00`00Oomoo`08 Ool00`00Oomoo`03Ool00`00Oomoo`0lOol2000:Ool0015oo`8000Yoo`@00003Ool007oo03ioo`03 001oogoo00eoo`8000Yoo`@0009oo`03001oogoo011oo`E>LbQoo`03001oogoo00eoo`8000Yoo`@0 0003Ool007oo01aoo`Dmkaeoo`03001oogoo00eoo`8000Yoo`@0009oo`03001oogoo03eoo`03001o ogoo00Qoo`008Woo0P00?Woo00<007ooOol07goo00<007ooOol04Goo1Dic9Woo0P0087oo0P0077oo 1Cg_7Goo00<007ooOol07goo00<007ooOol0?7oo0P002Woo000ROol2000nOol00`00Oomoo`0OOol0 0`00Oomoo`0AOol5CW LbIoo`03001oogoo01Uoo`<0009oo`03001oogoo01]oo`Dmkaeoo`03001oogoo01Uoo`<000=oo`03 001oogoo03eoo`03001oogoo00Qoo`007Woo00@007ooOomoo`8003ioo`03001oogoo01Yoo`03001o ogoo009oo`03001oogoo019oo`I>LbAoo`8001aoo`04001oogooOol2000LOol5?NlMOol00`00Oomo o`0JOol00`00Oomoo`02Ool00`00Oomoo`0lOol2000:Ool001Moo`D0009oo`04001oogooOol2000n Ool00`00Oomoo`0COol50002Ool00`00Oomoo`02Ool00`00Oomoo`0COol5CWWoo0P002Woo000NOol01@00Oomoogoo0000?goo00<007ooOol06Woo00<007ooOol00Woo 00<007ooOol04goo1Dic9Goo00<007ooOol06Woo00D007ooOomoo`0001eoo`Dmkaeoo`03001oogoo 01Yoo`03001oogoo009oo`03000aS36<00LbAoo`8001aoo`04001oogoo Ool2000MOol3?NlNOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Lb=oo`80021oo`8001aoo`Dmkaeoo`03001oogoo01moo`03001ooc6<008aS003OolaS36< 00Lb1oo`8000Uo o`D00005Ool007ooOol0000;Ool01000Ool0000077oo1Cg_7Goo00<007ooOol01goo1@0000Eoo`00 Oomoo`0000]oo`04001oogoo000:Ool9Ool20009Ool4 0002Ool00`00Oomoo`0HOol5CWOol20009Ool400000goo001oo`0LOol5?NlM Ool00`00Oomoo`0>Ool20009Ool40002Ool00`00Oomoo`0=Ool3Laioo`80021oo`8001ao o`Dmkaeoo`03001oogoo01moo`03001oogoo015oo`DaS004OolaS36<Laioo`80021oo`8001aoo`Dmkaeoo`03001oogoo 01moo`03001oogoo015oo`XaS25oo`8000Yoo`007Woo0P0000Eooe[FF]IJeWoo00mJeP03OomJeU[F 011JeP03OomJeU[F00eJeP03OomJeU[F00YJeQ]oo`8000=oo`03001oogoo01Uoo`I>Laioo`03001o ogoo01Yoo`80009oo`03001oogoo01]oo`Dmkaeoo`03001oogoo01Yoo`8000=oo`03001oogoo019o o`Laaoo`8001]oo`05001oogoo001o o`02000LOol5?NlMOol00`00Oomoo`0IOol01000Oomoo`000Woo00<007ooOol05goo0c6<00=ooc6< La]oo`8001]oo`05001oogoo001oo`02000LOol5?NlMOol00`00Oomoo`0IOol0 1000Oomoo`000Woo00<007ooOol077oo236<67oo0P002Woo000NOol20002Ool2000nOol00`00Oomo o`0JOol20003Ool00`00Oomoo`0LOol5CWLaYoo`80021oo`8001eoo` LaYoo`03001oogoo00ioo`8000Aoo`8000=oo`<0009oo`03001oogoo01]oo`Dmkaeoo`03001oogoo 00ioo`8000Aoo`8000=oo`<000=oo`03001oogoo02Aoo`XaS0moo`03001oogoo00Qoo`004Goo00@0 07ooOol000=oo`8000Ioo`04001oo`00000nOol00`00Oomoo`0=Ool01000Oomoo`000goo0P001Woo 00@007ooOol0021oo`E>LaUoo`8000moo`04001oogoo0003Ool20006Ool01000Ool0000077oo1Cg_ 7Goo00<007ooOol03Goo00@007ooOol000=oo`8000Ioo`04001oogoo000WOol3Ool2000:Ool0015oo`04001oogoo000;Ool01000Ool00000?Woo00<007ooOol03Goo00@007oo Ool000]oo`04001oogoo000POol5CW LaMoo`80011oo`8000Uoo`@00003Ool0000001aoo`Dmkaeoo`03001oogoo00ioo`8000Uoo`@0009o o`03001oogoo02ioo`XaS0Aoo`8000Yoo`008Woo00<007ooOol0?Goo00<007ooOol07goo00<007oo Ool087oo1Tic5goo00<007ooOol07Woo00<007ooOol06goo1Cg_7Goo00<007ooOol07goo00<007oo Ool0;goo0c6<00=ooc6<LaIoo`03001oogoo01Uoo`<0009oo`03001oogoo01]oo`Dmkaeoo`03001oogoo01Uo o`<000=oo`03001oogoo03Aoo`PaS003Ool007oo00Uoo`007Woo00@007ooOomoo`8003ioo`03001o ogoo01Yoo`03001oogoo009oo`03001oogoo029oo`I>LaAoo`8001aoo`04001oogooOol2000LOol5 ?NlMOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0gOol5La=oo`8001aoo`04001oogooOol2000L Ool5?NlMOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0lOol2000:Ool001eoo`8000=o o`8003ioo`03001oogoo01Uoo`8000Aoo`03001oogoo02Aoo`E>La=oo`8001]oo`8000=oo`8001ao o`Dmkaeoo`03001oogoo01Uoo`8000Aoo`03001oogoo03aoo`8000Yoo`008Woo00<007ooOol0?Goo 00<007ooOol07goo00<007ooOol097oo1Dic57oo00<007ooOol07Woo00<007ooOol06goo1Cg_7Goo 00<007ooOol07goo00<007ooOol0?Goo00<007ooOol027oo000ROol2000nOol00`00Oomoo`0OOol0 0`00Oomoo`0UOol5CWLa9oo`03001oogoo00eoo`<000Aoo`8000=oo`<0009oo`03 001oogoo01]oo`Dmkaeoo`03001oogoo00eoo`<000Aoo`8000=oo`<000=oo`03001oogoo03eoo`03 001oogoo00Qoo`004Woo00<007ooOol00goo0P001Woo00@007oo000003ioo`03001oogoo00ioo`03 001oogoo00=oo`8000Ioo`04001oogoo000XOol5CWOol00`00Oomoo`08Ool00`00Oomoo`03Ool00`00 Oomoo`0WOol5CW<@Ool2000@Ool00`00Oomoo`08Ool00`00Oomoo`02Ool2000LOol5?NlMOol00`00 Oomoo`0>Ool00`00Oomoo`08Ool00`00Oomoo`03Ool00`00Oomoo`0lOol2000:Ool0015oo`8000Yo o`@00003Ool0000003ioo`03001oogoo00eoo`8000Yoo`@0009oo`03001oogoo02Moo`I>L`moo`80 00moo`8000Yoo`@00003Ool0000001aoo`Dmkaeoo`03001oogoo00eoo`8000Yoo`@0009oo`03001o ogoo03aoo`8000Yoo`008Woo00<007ooOol0?Goo00<007ooOol07goo00<007ooOol0:7oo1Tic3goo 00<007ooOol07Woo00<007ooOol06goo1Cg_7Goo00<007ooOol07goo00<007ooOol0?Goo00<007oo Ool027oo000ROol2000nOol00`00Oomoo`0OOol00`00Oomoo`0YOol5CW<>Ool2000POol2000LOol5 ?NlMOol00`00Oomoo`0OOol00`00Oomoo`0lOol2000:Ool001eoo`@00003Ool007oo03ioo`03001o ogoo01Uoo`@0009oo`03001oogoo02Uoo`I>L`ioo`03001oogoo01Uoo`@00003Ool007oo01aoo`Dm kaeoo`03001oogoo01Uoo`@0009oo`03001oogoo03eoo`03001oogoo00Qoo`007Woo00@007ooOomo o`8003ioo`03001oogoo01Yoo`03001oogoo009oo`03001oogoo02Yoo`I>L`aoo`8001aoo`04001o ogooOol2000LOol5?NlMOol00`00Oomoo`0JOol00`00Oomoo`02Ool00`00Oomoo`0lOol2000:Ool0 01moo`03001oogoo044001eoo`04001oogooOol^0005CW<>000MOol00`00Oomoo`0N0005?NlN000M Ool01000Oomoogoo@@002Woo000POol00`00Oomoo`1NOol00`00Oomoo`0^Ool5CW"], ImageRangeCache->{{{0, 401.312}, {195.375, 0}} -> {-0.106621, -0.0488475, 0.0104987, 0.0104987}, {{10.125, 98.75}, {190.688, 102.062}} -> {-4.19277, -2.93549, 0.0627913, 0.0627913}, {{107.562, 196.188}, {190.688, 102.062}} -> {-10.311, -2.93549, 0.0627913, 0.0627913}, {{205.062, 293.688}, {190.688, 102.062}} -> {-16.4332, -2.93549, 0.0627913, 0.0627913}, {{302.5, 391.125}, {190.688, 102.062}} -> {-22.5514, -2.93549, 0.0627913, 0.0627913}, {{10.125, 98.75}, {93.25, 4.625}} -> {-4.19277, -9.05372, 0.0627913, 0.0627913}, {{107.562, 196.188}, {93.25, 4.625}} -> {-10.311, -9.05372, 0.0627913, 0.0627913}, {{205.062, 293.688}, { 93.25, 4.625}} -> {-16.4332, -9.05372, 0.0627913, 0.0627913}, {{302.5, 391.125}, {93.25, 4.625}} -> {-22.5514, -9.05372, 0.0627913, 0.0627913}}] }, Open ]], Cell["\<\ For this transformation, apparently only (0, 0) goes to (0, \ 0).\ \>", "Text"], Cell[TextData[{ "As it can be seen in the graphics, S1 is the kernel of the T5 and S2 is \ the kernel of T2.\nHowever, we have obtained the kernels intuitively. How can \ we do it in an algebraic way?\nEvery point that belongs to the kernel is a \ solution of the equation T(x, y) = (0,0), so we can obtain it with the ", StyleBox["Solve", "Input", FontFamily->"Courier New", FontWeight->"Plain"], " command." }], "Text", TextAlignment->Left, TextJustification->1], Cell[TextData[{ "We define a function called", StyleBox[" ", FontFamily->"Courier New", FontWeight->"Bold"], StyleBox["ker", "Input", FontFamily->"Courier New", FontWeight->"Plain"], ", as follows:" }], "Text"], Cell["ker[T_] := Solve[T[{x, y}] == {0, 0}, {x, y}]", "Input"], Cell[TextData[{ "And now we apply it to each transformation. \n[Note: ", StyleBox["Mathematica", FontSlant->"Italic"], " will give us a warning message: " }], "Text"], Cell[BoxData[ \(\(Solve::"svars" \( : \ "Equations may not give solutions for all \"solve\" \ variables."\)]\)\)], "Message", GeneratedCell->False, CellAutoOverwrite->False], Cell[CellGroupData[{ Cell[BoxData[ \(ker[T2]\)], "Input"], Cell[BoxData[ \({{x \[Rule] \(-2\)\ y}}\)], "Output"] }, Open ]], Cell[TextData[{ "This answer must be interpreted: Ker (T2) = {(x, y) in ", Cell[BoxData[ FormBox[ FormBox[\(\[DoubleStruckCapitalR]\^2\), "TraditionalForm"], TraditionalForm]]], "/ x = -2 y}" }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(ker[T3]\)], "Input"], Cell[BoxData[ \({{x \[Rule] 0, y \[Rule] 0}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ker[T4]\)], "Input"], Cell[BoxData[ \({{x \[Rule] 0, y \[Rule] 0}}\)], "Output"] }, Open ]], Cell["So, Ker (T3) = Ker (T4) = {(0, 0)}", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(ker[T5]\)], "Input"], Cell[BoxData[ \({{x \[Rule] 0}}\)], "Output"] }, Open ]], Cell[TextData[{ "Then, Ker (T5) = {(x, y) in ", Cell[BoxData[ FormBox[ FormBox[\(\[DoubleStruckCapitalR]\^2\), "TraditionalForm"], TraditionalForm]]], "/ x = 0}" }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "An example in ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^3\)]] }], "Section"], Cell[TextData[{ "We can now show students an example of a linear transformation T : ", Cell[BoxData[ \(TraditionalForm\`\[DoubleStruckCapitalR]\^3\)]], " \[RightArrow] ", Cell[BoxData[ \(TraditionalForm\`\(\[DoubleStruckCapitalR]\^3\ \)\)]], " .We choose the following linear transformation to work with:" }], "Text"], Cell["TR[{x_, y_, z_}] := {x + z, 2*x + 2*z, 3*x + 3*z}", "Input"], Cell[TextData[{ "Trying to plot the kernel in the same way as above will result in images \ difficult to read, so we first find the analytically. Once we have obtained \ its equation, we plot the kernel with ", StyleBox["Plot3D", FontFamily->"Courier New", FontWeight->"Bold"], "." }], "Text", TextAlignment->Left, TextJustification->1], Cell[CellGroupData[{ Cell["Solve[TR[{x, y, z}] == {0, 0, 0}, {x, y, z}]", "Input"], Cell[BoxData[ \(Solve::"svars" \( : \ \) "Equations may not give solutions for all \"solve\" variables."\)], "Message"], Cell[BoxData[ \({{x \[Rule] \(-z\)}}\)], "Output"] }, Open ]], Cell["So the kernel is: ker (TR) = {(x, y, z) / z = -x}", "Text"], Cell[CellGroupData[{ Cell["\<\ Plot3D[-x, {x, -2, 2}, {y, -2, 2}, PlotLabel -> \"Kernel of TR\"]; \ \ \>", "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .81114 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% SurfaceGraphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -1.11022e-16 1.04977 -0.0679587 1.04977 [ [.5 .82364 -38 0 ] [.5 .82364 38 12 ] [.02757 .24618 -12 -8.70276 ] [.02757 .24618 0 .29724 ] [.17646 .18758 -11.7989 -9 ] [.17646 .18758 .20112 0 ] [.3345 .12542 -5.5867 -9 ] [.3345 .12542 .4133 0 ] [.50253 .05935 -5.27396 -9 ] [.50253 .05935 .72604 0 ] [.68156 -0.01098 -4.96123 -9 ] [.68156 -0.01098 1.03877 0 ] [.70096 -0.00478 0 -6.26206 ] [.70096 -0.00478 12 2.73794 ] [.78313 .12104 0 -6.13858 ] [.78313 .12104 12 2.86142 ] [.8565 .23339 0 -6.03127 ] [.8565 .23339 6 2.96873 ] [.9224 .33431 0 -5.93715 ] [.9224 .33431 6 3.06285 ] [.98191 .42546 0 -5.85393 ] [.98191 .42546 6 3.14607 ] [.02411 .26511 -12 -2.74232 ] [.02411 .26511 0 6.25768 ] [.01568 .31795 -12 -2.78699 ] [.01568 .31795 0 6.21301 ] [.00696 .37264 -6 -2.83339 ] [.00696 .37264 0 6.16661 ] [-0.00208 .42927 -6 -2.88161 ] [-0.00208 .42927 0 6.11839 ] [-0.01144 .48795 -6 -2.93176 ] [-0.01144 .48795 0 6.06824 ] [ 0 0 0 0 ] [ 1 .81114 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g gsave .5 .82364 -99 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20 translate 1 -1 scale gsave 0.000000 0.000000 0.000000 setrgbcolor 1.000000 setlinewidth gsave newpath 61.000000 16.000000 moveto 558.000000 16.000000 lineto 558.000000 4.000000 lineto 61.000000 4.000000 lineto 61.000000 16.000000 lineto closepath clip newpath 63.000000 13.000000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 63.000000 13.000000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor (Kernel) show 105.000000 13.000000 moveto (of) show 123.000000 13.000000 moveto (TR) show 135.000000 13.000000 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000000 0.000000 0.000000 setrgbcolor 0.000000 0.000000 rmoveto 1.000000 setlinewidth grestore grestore %%DocumentNeededResources: font Courier %%DocumentSuppliedResources: %%DocumentNeededFonts: Courier %%DocumentSuppliedFonts: %%DocumentFonts: font Courier grestore .25 Mabswid [ ] 0 setdash .03716 .25514 m .68874 0 L s .03716 .25514 m .04196 .25962 L s [(-2)] .02757 .24618 1 .93395 Mshowa .18558 .19702 m .19014 .20174 L s [(-1)] .17646 .18758 .96648 1 Mshowa .34306 .13535 m .34735 .14032 L s [(0)] .3345 .12542 .86223 1 Mshowa .51046 .06981 m .51442 .07504 L s [(1)] .50253 .05935 .75799 1 Mshowa .68874 0 m .69233 .00549 L s [(2)] .68156 -0.01098 .65374 1 Mshowa .125 Mabswid .06616 .24378 m .06901 .2465 L s .09549 .2323 m .09832 .23504 L s .12517 .22067 m .12797 .22345 L s .1552 .20892 m .15797 .21172 L s .21633 .18498 m .21903 .18784 L s .24744 .1728 m .25012 .17569 L s .27893 .16047 m .28157 .16339 L s .3108 .14799 m .31341 .15094 L s .37572 .12257 m .37826 .12558 L s .40878 .10962 m .41128 .11266 L s .44225 .09652 m .44471 .09959 L s .47614 .08324 m .47856 .08635 L s .54521 .0562 m .54755 .05937 L s .58041 .04242 m .5827 .04562 L s .61605 .02846 m .6183 .03169 L s .65216 .01432 m .65436 .01759 L s .25 Mabswid .68874 0 m .96935 .42924 L s .68874 0 m .68263 .00239 L s [(-2)] .70096 -0.00478 -1 .39157 Mshowa .7708 .12553 m .76464 .12778 L s [(-1)] .78313 .12104 -1 .36413 Mshowa .84407 .23761 m .83786 .23973 L s [(0)] .8565 .23339 -1 .34028 Mshowa .9099 .3383 m .90365 .34029 L s [(1)] .9224 .33431 -1 .31937 Mshowa .96935 .42924 m .96306 .43113 L s [(2)] .98191 .42546 -1 .30087 Mshowa .125 Mabswid .70593 .0263 m .70226 .02771 L s .72272 .05198 m .71904 .05338 L s .73912 .07706 m .73543 .07845 L s .75514 .10158 m .75145 .10294 L s .78611 .14895 m .78241 .15028 L s .80108 .17185 m .79737 .17317 L s .81573 .19425 m .81201 .19555 L s .83006 .21617 m .82633 .21745 L s .8578 .2586 m .85407 .25986 L s .87123 .27915 m .8675 .28039 L s .88439 .29928 m .88065 .3005 L s .89727 .31899 m .89353 .3202 L s .92227 .35722 m .91851 .3584 L s .93439 .37576 m .93063 .37693 L s .94627 .39394 m .94251 .3951 L s .95792 .41176 m .95416 .41291 L s .25 Mabswid .03716 .25514 m 0 .48963 L s .03634 .26033 m .04245 .25795 L s [(-2)] .02411 .26511 1 -0.3906 Mshowa .02795 .31328 m .03408 .31095 L s [(-1)] .01568 .31795 1 -0.38067 Mshowa .01926 .36808 m .02541 .3658 L s [(0)] .00696 .37264 1 -0.37036 Mshowa .01027 .42483 m .01644 .42261 L s [(1)] -0.00208 .42927 1 -0.35964 Mshowa .00095 .48363 m .00715 .48147 L s [(2)] -0.01144 .48795 1 -0.3485 Mshowa .125 Mabswid .03468 .27078 m .03835 .26935 L s .03301 .2813 m .03669 .27988 L s .03134 .29189 m .03501 .29047 L s .02965 .30255 m .03332 .30114 L s .02623 .32409 m .02991 .3227 L s .02451 .33497 m .02819 .33359 L s .02277 .34593 m .02646 .34455 L s .02102 .35697 m .02471 .35559 L s .01749 .37927 m .02118 .37791 L s .0157 .39054 m .0194 .38919 L s .0139 .40189 m .0176 .40054 L s .01209 .41332 m .01579 .41198 L s .00843 .43642 m .01214 .4351 L s .00658 .4481 m .01029 .44678 L s .00472 .45986 m .00843 .45855 L s .00284 .4717 m .00656 .4704 L s .25 Mabswid .03716 .25514 m 0 .48963 L s 0 .48963 m .39787 .81114 L s .39787 .81114 m .40529 .59895 L s .40529 .59895 m .03716 .25514 L s .68874 0 m .96935 .42924 L s .96935 .42924 m 1 .6535 L s 1 .6535 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .03716 .25514 m 0 .48963 L s 0 .48963 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .68874 0 m .03716 .25514 L s .40529 .59895 m .96935 .42924 L s .96935 .42924 m 1 .6535 L s 1 .6535 m .39787 .81114 L s .39787 .81114 m .40529 .59895 L s 0 0 m 1 0 L 1 .81114 L 0 .81114 L closepath clip newpath .5 Mabswid .766 .78 .865 r .37465 .78679 .39806 .80578 .43733 .78027 .41438 .76088 Metetra .766 .78 .865 r .41438 .76088 .43733 .78027 .47683 .75461 .45435 .73481 Metetra .766 .78 .865 r .45435 .73481 .47683 .75461 .51658 .72879 .49457 .70859 Metetra .766 .78 .865 r .49457 .70859 .51658 .72879 .55656 .70282 .53502 .6822 Metetra .766 .78 .865 r .53502 .6822 .55656 .70282 .59678 .67669 .57573 .65565 Metetra .766 .78 .865 r .57573 .65565 .59678 .67669 .63725 .65041 .61669 .62894 Metetra .766 .78 .865 r .61669 .62894 .63725 .65041 .67796 .62396 .6579 .60207 Metetra .766 .78 .865 r .6579 .60207 .67796 .62396 .71892 .59735 .69936 .57502 Metetra .766 .78 .865 r .69936 .57502 .71892 .59735 .76014 .57058 .74108 .54782 Metetra .766 .78 .865 r .74108 .54782 .76014 .57058 .8016 .54365 .78306 .52044 Metetra .766 .78 .865 r .78306 .52044 .8016 .54365 .84332 .51655 .8253 .49289 Metetra .766 .78 .865 r .8253 .49289 .84332 .51655 .8853 .48928 .86781 .46517 Metetra .766 .78 .865 r .86781 .46517 .8853 .48928 .92753 .46185 .91058 .43727 Metetra .766 .78 .865 r .91058 .43727 .92753 .46185 .97003 .43424 .95362 .4092 Metetra .766 .78 .865 r .35061 .76729 .37465 .78679 .41438 .76088 .39081 .74096 Metetra .766 .78 .865 r .39081 .74096 .41438 .76088 .45435 .73481 .43125 .71447 Metetra .766 .78 .865 r .43125 .71447 .45435 .73481 .49457 .70859 .47195 .68782 Metetra .766 .78 .865 r .47195 .68782 .49457 .70859 .53502 .6822 .5129 .66101 Metetra .766 .78 .865 r .5129 .66101 .53502 .6822 .57573 .65565 .5541 .63403 Metetra .766 .78 .865 r .5541 .63403 .57573 .65565 .61669 .62894 .59556 .60688 Metetra .766 .78 .865 r .59556 .60688 .61669 .62894 .6579 .60207 .63727 .57956 Metetra .766 .78 .865 r .63727 .57956 .6579 .60207 .69936 .57502 .67925 .55207 Metetra .766 .78 .865 r .67925 .55207 .69936 .57502 .74108 .54782 .72149 .52441 Metetra .766 .78 .865 r .72149 .52441 .74108 .54782 .78306 .52044 .764 .49657 Metetra .766 .78 .865 r .764 .49657 .78306 .52044 .8253 .49289 .80678 .46856 Metetra .766 .78 .865 r .80678 .46856 .8253 .49289 .86781 .46517 .84983 .44037 Metetra .766 .78 .865 r .84983 .44037 .86781 .46517 .91058 .43727 .89315 .412 Metetra .766 .78 .865 r .89315 .412 .91058 .43727 .95362 .4092 .93675 .38345 Metetra .766 .78 .865 r .3259 .74724 .35061 .76729 .39081 .74096 .36658 .72049 Metetra .766 .78 .865 r .36658 .72049 .39081 .74096 .43125 .71447 .40751 .69357 Metetra .766 .78 .865 r .40751 .69357 .43125 .71447 .47195 .68782 .4487 .66648 Metetra .766 .78 .865 r .4487 .66648 .47195 .68782 .5129 .66101 .49015 .63923 Metetra .766 .78 .865 r .49015 .63923 .5129 .66101 .5541 .63403 .53186 .6118 Metetra .766 .78 .865 r .53186 .6118 .5541 .63403 .59556 .60688 .57383 .5842 Metetra .766 .78 .865 r .57383 .5842 .59556 .60688 .63727 .57956 .61607 .55642 Metetra .766 .78 .865 r .61607 .55642 .63727 .57956 .67925 .55207 .65857 .52847 Metetra .766 .78 .865 r .65857 .52847 .67925 .55207 .72149 .52441 .70135 .50034 Metetra .766 .78 .865 r .70135 .50034 .72149 .52441 .764 .49657 .7444 .47202 Metetra .766 .78 .865 r .7444 .47202 .764 .49657 .80678 .46856 .78773 .44353 Metetra .766 .78 .865 r .78773 .44353 .80678 .46856 .84983 .44037 .83133 .41486 Metetra .766 .78 .865 r .83133 .41486 .84983 .44037 .89315 .412 .87522 .38599 Metetra .766 .78 .865 r .87522 .38599 .89315 .412 .93675 .38345 .91939 .35695 Metetra .766 .78 .865 r .3005 .72663 .3259 .74724 .36658 .72049 .34167 .69944 Metetra .766 .78 .865 r .34167 .69944 .36658 .72049 .40751 .69357 .3831 .67208 Metetra .766 .78 .865 r .3831 .67208 .40751 .69357 .4487 .66648 .4248 .64454 Metetra .766 .78 .865 r .4248 .64454 .4487 .66648 .49015 .63923 .46675 .61683 Metetra .766 .78 .865 r .46675 .61683 .49015 .63923 .53186 .6118 .50898 .58893 Metetra .766 .78 .865 r .50898 .58893 .53186 .6118 .57383 .5842 .55148 .56087 Metetra .766 .78 .865 r .55148 .56087 .57383 .5842 .61607 .55642 .59425 .53262 Metetra .766 .78 .865 r .59425 .53262 .61607 .55642 .65857 .52847 .6373 .50418 Metetra .766 .78 .865 r .6373 .50418 .65857 .52847 .70135 .50034 .68062 .47557 Metetra .766 .78 .865 r .68062 .47557 .70135 .50034 .7444 .47202 .72423 .44677 Metetra .766 .78 .865 r .72423 .44677 .7444 .47202 .78773 .44353 .76812 .41778 Metetra .766 .78 .865 r .76812 .41778 .78773 .44353 .83133 .41486 .81229 .3886 Metetra .766 .78 .865 r .81229 .3886 .83133 .41486 .87522 .38599 .85676 .35923 Metetra .766 .78 .865 r .85676 .35923 .87522 .38599 .91939 .35695 .90152 .32967 Metetra .766 .78 .865 r .27438 .70544 .3005 .72663 .34167 .69944 .31605 .67779 Metetra .766 .78 .865 r .31605 .67779 .34167 .69944 .3831 .67208 .35799 .64997 Metetra .766 .78 .865 r .35799 .64997 .3831 .67208 .4248 .64454 .4002 .62196 Metetra .766 .78 .865 r .4002 .62196 .4248 .64454 .46675 .61683 .44269 .59378 Metetra .766 .78 .865 r .44269 .59378 .46675 .61683 .50898 .58893 .48545 .56541 Metetra .766 .78 .865 r .48545 .56541 .50898 .58893 .55148 .56087 .52848 .53686 Metetra .766 .78 .865 r .52848 .53686 .55148 .56087 .59425 .53262 .5718 .50812 Metetra .766 .78 .865 r .5718 .50812 .59425 .53262 .6373 .50418 .6154 .47919 Metetra .766 .78 .865 r .6154 .47919 .6373 .50418 .68062 .47557 .65929 .45008 Metetra .766 .78 .865 r .65929 .45008 .68062 .47557 .72423 .44677 .70347 .42077 Metetra .766 .78 .865 r .70347 .42077 .72423 .44677 .76812 .41778 .74793 .39127 Metetra .766 .78 .865 r .74793 .39127 .76812 .41778 .81229 .3886 .7927 .36157 Metetra .766 .78 .865 r .7927 .36157 .81229 .3886 .85676 .35923 .83776 .33168 Metetra .766 .78 .865 r .83776 .33168 .85676 .35923 .90152 .32967 .88312 .30158 Metetra .766 .78 .865 r .2475 .68364 .27438 .70544 .31605 .67779 .28969 .65552 Metetra .766 .78 .865 r .28969 .65552 .31605 .67779 .35799 .64997 .33215 .62722 Metetra .766 .78 .865 r .33215 .62722 .35799 .64997 .4002 .62196 .3749 .59873 Metetra .766 .78 .865 r .3749 .59873 .4002 .62196 .44269 .59378 .41792 .57006 Metetra .766 .78 .865 r .41792 .57006 .44269 .59378 .48545 .56541 .46122 .5412 Metetra .766 .78 .865 r .46122 .5412 .48545 .56541 .52848 .53686 .50481 .51215 Metetra .766 .78 .865 r .50481 .51215 .52848 .53686 .5718 .50812 .54869 .4829 Metetra .766 .78 .865 r .54869 .4829 .5718 .50812 .6154 .47919 .59286 .45346 Metetra .766 .78 .865 r .59286 .45346 .6154 .47919 .65929 .45008 .63732 .42383 Metetra .766 .78 .865 r .63732 .42383 .65929 .45008 .70347 .42077 .68208 .394 Metetra .766 .78 .865 r .68208 .394 .70347 .42077 .74793 .39127 .72714 .36397 Metetra .766 .78 .865 r .72714 .36397 .74793 .39127 .7927 .36157 .77251 .33373 Metetra .766 .78 .865 r .77251 .33373 .7927 .36157 .83776 .33168 .81818 .30329 Metetra .766 .78 .865 r .81818 .30329 .83776 .33168 .88312 .30158 .86416 .27265 Metetra .766 .78 .865 r .21984 .6612 .2475 .68364 .28969 .65552 .26255 .63259 Metetra .766 .78 .865 r .26255 .63259 .28969 .65552 .33215 .62722 .30555 .6038 Metetra .766 .78 .865 r .30555 .6038 .33215 .62722 .3749 .59873 .34884 .57481 Metetra .766 .78 .865 r .34884 .57481 .3749 .59873 .41792 .57006 .39241 .54564 Metetra .766 .78 .865 r .39241 .54564 .41792 .57006 .46122 .5412 .43628 .51626 Metetra .766 .78 .865 r .43628 .51626 .46122 .5412 .50481 .51215 .48043 .4867 Metetra .766 .78 .865 r .48043 .4867 .50481 .51215 .54869 .4829 .52489 .45693 Metetra .766 .78 .865 r .52489 .45693 .54869 .4829 .59286 .45346 .56964 .42696 Metetra .766 .78 .865 r .56964 .42696 .59286 .45346 .63732 .42383 .6147 .39679 Metetra .766 .78 .865 r .6147 .39679 .63732 .42383 .68208 .394 .66006 .36642 Metetra .766 .78 .865 r .66006 .36642 .68208 .394 .72714 .36397 .70573 .33583 Metetra .766 .78 .865 r .70573 .33583 .72714 .36397 .77251 .33373 .75171 .30504 Metetra .766 .78 .865 r .75171 .30504 .77251 .33373 .81818 .30329 .798 .27404 Metetra .766 .78 .865 r .798 .27404 .81818 .30329 .86416 .27265 .84462 .24283 Metetra .766 .78 .865 r .19135 .63809 .21984 .6612 .26255 .63259 .23461 .60898 Metetra .766 .78 .865 r .23461 .60898 .26255 .63259 .30555 .6038 .27816 .57968 Metetra .766 .78 .865 r .27816 .57968 .30555 .6038 .34884 .57481 .322 .55018 Metetra .766 .78 .865 r .322 .55018 .34884 .57481 .39241 .54564 .36614 .52048 Metetra .766 .78 .865 r .36614 .52048 .39241 .54564 .43628 .51626 .41058 .49058 Metetra .766 .78 .865 r .41058 .49058 .43628 .51626 .48043 .4867 .45532 .46047 Metetra .766 .78 .865 r .45532 .46047 .48043 .4867 .52489 .45693 .50036 .43016 Metetra .766 .78 .865 r .50036 .43016 .52489 .45693 .56964 .42696 .54571 .39965 Metetra .766 .78 .865 r .54571 .39965 .56964 .42696 .6147 .39679 .59137 .36892 Metetra .766 .78 .865 r .59137 .36892 .6147 .39679 .66006 .36642 .63735 .33799 Metetra .766 .78 .865 r .63735 .33799 .66006 .36642 .70573 .33583 .68365 .30683 Metetra .766 .78 .865 r .68365 .30683 .70573 .33583 .75171 .30504 .73026 .27547 Metetra .766 .78 .865 r .73026 .27547 .75171 .30504 .798 .27404 .7772 .24388 Metetra .766 .78 .865 r .7772 .24388 .798 .27404 .84462 .24283 .82447 .21208 Metetra .766 .78 .865 r .16201 .61429 .19135 .63809 .23461 .60898 .20582 .58466 Metetra .766 .78 .865 r .20582 .58466 .23461 .60898 .27816 .57968 .24994 .55483 Metetra .766 .78 .865 r .24994 .55483 .27816 .57968 .322 .55018 .29435 .52479 Metetra .766 .78 .865 r .29435 .52479 .322 .55018 .36614 .52048 .33907 .49455 Metetra .766 .78 .865 r .33907 .49455 .36614 .52048 .41058 .49058 .38409 .4641 Metetra .766 .78 .865 r .38409 .4641 .41058 .49058 .45532 .46047 .42943 .43345 Metetra .766 .78 .865 r .42943 .43345 .45532 .46047 .50036 .43016 .47508 .40258 Metetra .766 .78 .865 r .47508 .40258 .50036 .43016 .54571 .39965 .52104 .37149 Metetra .766 .78 .865 r .52104 .37149 .54571 .39965 .59137 .36892 .56733 .34019 Metetra .766 .78 .865 r .56733 .34019 .59137 .36892 .63735 .33799 .61394 .30867 Metetra .766 .78 .865 r .61394 .30867 .63735 .33799 .68365 .30683 .66088 .27693 Metetra .766 .78 .865 r .66088 .27693 .68365 .30683 .73026 .27547 .70814 .24496 Metetra .766 .78 .865 r .70814 .24496 .73026 .27547 .7772 .24388 .75575 .21277 Metetra .766 .78 .865 r .75575 .21277 .7772 .24388 .82447 .21208 .80369 .18035 Metetra .766 .78 .865 r .13177 .58976 .16201 .61429 .20582 .58466 .17615 .55959 Metetra .766 .78 .865 r .17615 .55959 .20582 .58466 .24994 .55483 .22084 .52921 Metetra .766 .78 .865 r .22084 .52921 .24994 .55483 .29435 .52479 .26584 .49862 Metetra .766 .78 .865 r .26584 .49862 .29435 .52479 .33907 .49455 .31115 .46782 Metetra .766 .78 .865 r .31115 .46782 .33907 .49455 .38409 .4641 .35678 .43681 Metetra .766 .78 .865 r .35678 .43681 .38409 .4641 .42943 .43345 .40273 .40557 Metetra .766 .78 .865 r .40273 .40557 .42943 .43345 .47508 .40258 .449 .37412 Metetra .766 .78 .865 r .449 .37412 .47508 .40258 .52104 .37149 .4956 .34245 Metetra .766 .78 .865 r .4956 .34245 .52104 .37149 .56733 .34019 .54252 .31055 Metetra .766 .78 .865 r .54252 .31055 .56733 .34019 .61394 .30867 .58978 .27842 Metetra .766 .78 .865 r .58978 .27842 .61394 .30867 .66088 .27693 .63738 .24607 Metetra .766 .78 .865 r .63738 .24607 .66088 .27693 .70814 .24496 .68532 .21348 Metetra .766 .78 .865 r .68532 .21348 .70814 .24496 .75575 .21277 .7336 .18066 Metetra .766 .78 .865 r .7336 .18066 .75575 .21277 .80369 .18035 .78223 .14761 Metetra .766 .78 .865 r .10059 .56446 .13177 .58976 .17615 .55959 .14555 .53373 Metetra .766 .78 .865 r .14555 .53373 .17615 .55959 .22084 .52921 .19084 .50279 Metetra .766 .78 .865 r .19084 .50279 .22084 .52921 .26584 .49862 .23644 .47163 Metetra .766 .78 .865 r .23644 .47163 .26584 .49862 .31115 .46782 .28236 .44025 Metetra .766 .78 .865 r .28236 .44025 .31115 .46782 .35678 .43681 .32861 .40864 Metetra .766 .78 .865 r .32861 .40864 .35678 .43681 .40273 .40557 .37518 .37682 Metetra .766 .78 .865 r .37518 .37682 .40273 .40557 .449 .37412 .42209 .34476 Metetra .766 .78 .865 r .42209 .34476 .449 .37412 .4956 .34245 .46934 .31247 Metetra .766 .78 .865 r .46934 .31247 .4956 .34245 .54252 .31055 .51692 .27996 Metetra .766 .78 .865 r .51692 .27996 .54252 .31055 .58978 .27842 .56485 .2472 Metetra .766 .78 .865 r .56485 .2472 .58978 .27842 .63738 .24607 .61313 .21421 Metetra .766 .78 .865 r .61313 .21421 .63738 .24607 .68532 .21348 .66176 .18098 Metetra .766 .78 .865 r .66176 .18098 .68532 .21348 .7336 .18066 .71074 .14751 Metetra .766 .78 .865 r .71074 .14751 .7336 .18066 .78223 .14761 .76008 .1138 Metetra .766 .78 .865 r .06842 .53837 .10059 .56446 .14555 .53373 .11399 .50706 Metetra .766 .78 .865 r .11399 .50706 .14555 .53373 .19084 .50279 .15988 .47553 Metetra .766 .78 .865 r .15988 .47553 .19084 .50279 .23644 .47163 .20609 .44378 Metetra .766 .78 .865 r .20609 .44378 .23644 .47163 .28236 .44025 .25264 .41179 Metetra .766 .78 .865 r .25264 .41179 .28236 .44025 .32861 .40864 .29953 .37958 Metetra .766 .78 .865 r .29953 .37958 .32861 .40864 .37518 .37682 .34675 .34713 Metetra .766 .78 .865 r .34675 .34713 .37518 .37682 .42209 .34476 .39431 .31445 Metetra .766 .78 .865 r .39431 .31445 .42209 .34476 .46934 .31247 .44223 .28153 Metetra .766 .78 .865 r .44223 .28153 .46934 .31247 .51692 .27996 .49049 .24837 Metetra .766 .78 .865 r .49049 .24837 .51692 .27996 .56485 .2472 .5391 .21496 Metetra .766 .78 .865 r .5391 .21496 .56485 .2472 .61313 .21421 .58808 .18131 Metetra .766 .78 .865 r .58808 .18131 .61313 .21421 .66176 .18098 .63741 .14741 Metetra .766 .78 .865 r .63741 .14741 .66176 .18098 .71074 .14751 .68712 .11326 Metetra .766 .78 .865 r .68712 .11326 .71074 .14751 .76008 .1138 .73719 .07886 Metetra .766 .78 .865 r .03523 .51144 .06842 .53837 .11399 .50706 .08141 .47953 Metetra .766 .78 .865 r .08141 .47953 .11399 .50706 .15988 .47553 .12792 .44739 Metetra .766 .78 .865 r .12792 .44739 .15988 .47553 .20609 .44378 .17477 .41502 Metetra .766 .78 .865 r .17477 .41502 .20609 .44378 .25264 .41179 .22196 .38241 Metetra .766 .78 .865 r .22196 .38241 .25264 .41179 .29953 .37958 .2695 .34956 Metetra .766 .78 .865 r .2695 .34956 .29953 .37958 .34675 .34713 .31738 .31647 Metetra .766 .78 .865 r .31738 .31647 .34675 .34713 .39431 .31445 .36562 .28314 Metetra .766 .78 .865 r .36562 .28314 .39431 .31445 .44223 .28153 .41422 .24956 Metetra .766 .78 .865 r .41422 .24956 .44223 .28153 .49049 .24837 .46318 .21573 Metetra .766 .78 .865 r .46318 .21573 .49049 .24837 .5391 .21496 .5125 .18165 Metetra .766 .78 .865 r .5125 .18165 .5391 .21496 .58808 .18131 .56219 .14731 Metetra .766 .78 .865 r .56219 .14731 .58808 .18131 .63741 .14741 .61226 .11272 Metetra .766 .78 .865 r .61226 .11272 .63741 .14741 .68712 .11326 .6627 .07786 Metetra .766 .78 .865 r .6627 .07786 .68712 .11326 .73719 .07886 .71353 .04274 Metetra .766 .78 .865 r .00095 .48363 .03523 .51144 .08141 .47953 .04776 .4511 Metetra .766 .78 .865 r .04776 .4511 .08141 .47953 .12792 .44739 .09491 .41833 Metetra .766 .78 .865 r .09491 .41833 .12792 .44739 .17477 .41502 .14241 .38531 Metetra .766 .78 .865 r .14241 .38531 .17477 .41502 .22196 .38241 .19026 .35206 Metetra .766 .78 .865 r .19026 .35206 .22196 .38241 .2695 .34956 .23847 .31855 Metetra .766 .78 .865 r .23847 .31855 .2695 .34956 .31738 .31647 .28704 .28479 Metetra .766 .78 .865 r .28704 .28479 .31738 .31647 .36562 .28314 .33597 .25079 Metetra .766 .78 .865 r .33597 .25079 .36562 .28314 .41422 .24956 .38527 .21652 Metetra .766 .78 .865 r .38527 .21652 .41422 .24956 .46318 .21573 .43494 .182 Metetra .766 .78 .865 r .43494 .182 .46318 .21573 .5125 .18165 .48499 .14721 Metetra .766 .78 .865 r .48499 .14721 .5125 .18165 .56219 .14731 .53543 .11216 Metetra .766 .78 .865 r .53543 .11216 .56219 .14731 .61226 .11272 .58624 .07684 Metetra .766 .78 .865 r .58624 .07684 .61226 .11272 .6627 .07786 .63745 .04125 Metetra .766 .78 .865 r .63745 .04125 .6627 .07786 .71353 .04274 .68905 .00539 Metetra 0 g .25 Mabswid .68874 0 m .96935 .42924 L s .96935 .42924 m 1 .6535 L s 1 .6535 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .03716 .25514 m 0 .48963 L s 0 .48963 m .70298 .24544 L s .70298 .24544 m .68874 0 L s .68874 0 m .03716 .25514 L s .03716 .25514 m .68874 0 L s .03716 .25514 m .04196 .25962 L s [(-2)] .02757 .24618 1 .93395 Mshowa .18558 .19702 m .19014 .20174 L s [(-1)] .17646 .18758 .96648 1 Mshowa .34306 .13535 m .34735 .14032 L s [(0)] .3345 .12542 .86223 1 Mshowa .51046 .06981 m .51442 .07504 L s [(1)] .50253 .05935 .75799 1 Mshowa .68874 0 m .69233 .00549 L s [(2)] .68156 -0.01098 .65374 1 Mshowa .125 Mabswid .06616 .24378 m .06901 .2465 L s .09549 .2323 m .09832 .23504 L s .12517 .22067 m .12797 .22345 L s .1552 .20892 m .15797 .21172 L s .21633 .18498 m .21903 .18784 L s .24744 .1728 m .25012 .17569 L s .27893 .16047 m .28157 .16339 L s .3108 .14799 m .31341 .15094 L s .37572 .12257 m .37826 .12558 L s .40878 .10962 m .41128 .11266 L s .44225 .09652 m .44471 .09959 L s .47614 .08324 m .47856 .08635 L s .54521 .0562 m .54755 .05937 L s .58041 .04242 m .5827 .04562 L s .61605 .02846 m .6183 .03169 L s .65216 .01432 m .65436 .01759 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 233.562}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOol00`00Oomoo`1?Ool00Ha/00`00Ha/00006Ha/00`00Ha]S 6`06Ha/2001AOol0091oo`<000=oo`03001oogoo00moo`80015S6`8000MS6`03001S6fOol008Ioo`<001Uoo`8000MS 6`03001S6fHa/2000= Ool3000kOol006Aoo`04001oogoo000AOol4000NOol2000AHa/2000AHa/200000fHa/2 000=Ool00`00Oomoo`0jOol006Aoo`04001oogoo000>Ool3000QOol00`00Ha/0000@Ha/00`00Ha/0 000@Ha/01@00Ha/006Woo001UOol2000=Ool2000R Ool20003Ha/00`00Ha]S6`0Ha/01@00Ha]S6fgoo0013Ool2000hOol20005Ha/00`00Ha]S6`09Ha/2 0006Ha/00`00Ha]S6`09Ha/00`00Ha]S6`04Ha/00`00Ha]S6`08Ha/20006Ha/00`00Ha]S6`04Ha/0 1@00Ha]S6fWoo000mOol30004Ool00`00Oomoo`0dOol00`00Ha]S6`08Ha/00`00Ha]S6`04 Ha/2000;Ha/00`00Ha]S6`04Ha/00`00Ha]S6`08Ha/00`00Ha]S6`04Ha/2000:Ha/00`00Ha]S6`03 Ha/2000:Ha/00`00Ha]S6`03Ha/2000:Ha/2000kOol003]oo`8003aoo`8000aS6`04001S6fHa/01000Ha]S6fWoo000hOol5000kOol00`00Ha]S6`0=Ha/00`00Ha/0000AHa/00`00Ha/0000? Ha/00`00Ha/0000@Ha/00`00Ha/00002Ha/00`00Ha]S6`0:Ha/00`00Ha/0000>Ha/2000jOol003Io o`8003moo`03001S6fHa/20003Ha/00`00Ha]S6`0:Ha/20003Ha/00`00Ha]S6`0;Ha/20003Ha/01000Ha]S 6`002FHa/01000Ha]S6fHa/4000?Ha/2000>Ha/01000Ha/00000=7oo000NOol3 0017Ool2000BHa/2000AHa/2000@Ha/00`00Ha/0000@Ha/00`00Ha/0000;Ha/3000016Woo0P003F7oo00<0 06Ha/2000?Ha/3000>Ha/2000>Ha/01000Ha/00000:Woo000KOol00`00Oomoo`0> Ool00`00Oomoo`0SOol2000>Ha/01000Ha]S6fHa/00`00Ha/0000?Ha/2000?Ha/00`00Ha/0000>Ha/00`00Ha/0000< Ha/2000016Ha/00`00Ha/0000AHa/00`00Ha/0000?Ha/3 000AHa/2000?Ha/00`00Ha/0000=Ha/20003Ha/00`00Ha]S6`09Ha/20003Ha/00`00Ha]S6`08Ha/0 0`00Ha]S6`02Ha/00`00Ha/00007Ha/20006Ha/00`00Ha]S6`05Ha/20007Ha/00`00Oomoo`0ROol0 01Uoo`03001oogoo01]oo`03001oogoo00]oo`03001S6fHa/00`00Ha/0 000>Ha/2000>Ha/00`00Ha/0000=Ha/00`00Ha/0000Ha/0 0`00Ha/0000=Ha/01@00Ha]S6fHa/2000Ha/00`00Ha/0000@Ha/00`00Ha/0000?Ha/2000? Ha/00`00Ha/0000=Ha/20003Ha/00`00Ha]S6`09Ha/20003Ha/00`00Ha]S6`07Ha/20006Ha/00`00 Ha]S6`05Ha/00`00Ha]S6`04Ha/00`00Ha/00005Ha/00`00Ha]S6`06Ha/01000Ha]S6fHa/00`00Ha/0 000:Ha/30004Ha/3000?Ha/01000Ha]S6`003VHa/00`00Ha/0000;Ha/2000016Ool30005Ool00`00Oomoo`0?Ool20005Ha/00`00Ha]S6`09Ha/00`00Ha]S6`02Ha/30000 0fOol000moo`03001oogoo00Aoo`03001oogoo00io o`03001S6fHa/01000Ha/000003fHa/2000Ool20006Ool20009Ool00`00Ha]S6`0>Ha/4000@ Ha/01@00Ha]S6fHa/0 0`00Ha/0000>Ha/2000>Ha/01000Ha]S6`002f Ha/2000@Ha/2000>Ha/01000Ha]S6`002fHa/00`00Ha/0000?Ha/2000?Ha/01000 Ha]S6`003VHa/2000=Ha/00`00 Ha/0000Ha/00`00Ha/0000?Ha/2000?Ha/00`00Ha/0000=Ha/01@00 Ha]S6f Ha/00`00Ha/0000@Ha/2000?Ha/01000Ha]S6`003FHa/00`00Ha/0000>Ha/2000>Ha/01000Ha]S6`002fHa/00`00Ha/0 000?Ha/2000>Ha/01000Ha]S6`002fOol00`00Oomoo`0AOol00`00Oomoo`0@Ool0021oo`03001oo`0000IS 6`03001S6fHa/01000Ha]S6`0036Ha/2000>Ha/01000Ha]S6`002fOol00`00Oomoo`0?Ool002Moo`04001o o`000008Ha/00`00Ha]S6`08Ha/00`00Ha]S6`03Ha/2000Ha/3000?Ha/01000Ha]S 6`002fHa/01000Ha]S6`002fHa/20002Ha/00`00Ha]S6`08Ha/20007Ha/00`00Ha]S6`04Ha/00`00Ha]S6`08 Ha/01000Ha]S6fHa/2000=Ha/01000Ha]S6`002fOol003Ioo`03001oo`0000US6`8000QS6`03 001S6fHa/2000>Ha/01000Ha]S6`002fgoo00<007ooOol01Woo00<007ooOol03Woo000gOol40006Ha/00`00Ha]S6`09Ha/00`00Ha]S6`02 Ha/00`00Ha]S6`0;Ha/00`00Ha/0000>Ha/01000Ha]S6`002fGoo00<007oo00000fOol003Yoo`05001oo`00Ha/0000?Ha/3000>Ha/01@00Ha]S6fgoo00@0 07oo000000iS6`05001S6f Ha/2000>Ha/01000Ha]S6`002FHa/01@00Ha]S6f Ool004Eoo`04001oogoo0008Ha/20007Ha/00`00Ha]S6`04Ha/00`00Ha]S6`0:Ha/00`00Ha/0000> Ha/2000=Ha/01@00Ha]S6fHa/01000Ha]S6`002fHa/3000:Ha/20004Ha/00`00Ha]S6`06Ha/00`00Ha]S6`05 Ha/00`00Ha]S6`02Ha/2001@Ool4000LOol004ioo`03001oo`0000IS6`03001S6fHa/01@00Ha]S6fHa/3000;Ha/20004Ha/00`00Ha]S6`06Ha/2 0008Ha/01000Ha]S6fgoo001HOol20000 0fOol005ioo`800003Ha/006Ool0 07=oo`03001oo`0000US6`03001oogoo00Qoo`@0099oo`00M7oo0`001VOol3000@Ool3001lOol00?moob5oo`00ogoo 8Goo0000\ \>"], ImageRangeCache->{{{0, 287}, {232.562, 0}} -> {-0.0770475, 0.0204511, 0.00375803, 0.00375803}}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Conclusion", "Section"], Cell["\<\ Our work is motivated by the necessity for modifying the teaching \ methods we are using, to enhance students' reasoning abilities. We believe \ this is a trend not only in emergent countries but also in the first world \ [Sipcic 1995]. Computers are a powerful tool, but it is dangerous to suppose \ that they will \"think\" for us. The questions raised in the debate on \ computers in education in the articles [Koblitz 1996] and [Dubinsky-Noss \ 1996] deserve consideration.\ \>", "Text"], Cell[TextData[{ "We have presented introductory examples for linear transformations. We \ believe that ", StyleBox["Mathematica", FontSlant->"Italic"], " allows the students to analyze theoretical concepts using only some basic \ commands, avoiding tedious calculus. We believe that used this way, ", StyleBox["Mathematica", FontSlant->"Italic"], " also helps stimulate student\.b4s intuition for abstract mathematical \ concepts. " }], "Text", TextAlignment->Left, TextJustification->1] }, Open ]], Cell[CellGroupData[{ Cell["Acknowledgments", "Section"], Cell["\<\ We would like to thank Dr. Juan Jos\[EAcute] Manfredi, University \ of Pittsburgh, for helpful discussion during the workshop \"Cuadernos \ Interactivos de Mathematica\" in CAECE University, Buenos Aires, July 1996.\ \ \>", "Text", CellMargins->{{9, Inherited}, {Inherited, Inherited}}, TextAlignment->Left, TextJustification->1, FontWeight->"Plain"] }, Open ]], Cell[CellGroupData[{ Cell["References", "Section"], Cell[TextData[{ "DUBINSKY, ED and NOSS, RICHARD.\n\"Some Kinds of Computers for Some Kinds \ of Learning: A Reply to Koblitz\",\n", StyleBox["The Mathematical Intelligencer", FontSlant->"Italic"], " ", StyleBox["18", FontWeight->"Bold"], " [1] (1996)\n\nHalmos, P. R.\n", StyleBox["Finite Dimensional Vector Spaces", FontSlant->"Italic"], ". Van Nostrand, 1960.\n\nKOBLITZ, NEAL.\n\"The Case Against Computers in \ K-13 Math Education\",\n", StyleBox["The Mathematical Intelligencer", FontSlant->"Italic"], " ", StyleBox["18", FontWeight->"Bold"], " [1] (1996)\n\nSIPCIC, SLOBODAN.\n\"What is Wrong in the Way We Teach \ Mechanics and How to Fix It?\",\nMathematica in Education and Research, ", StyleBox["4", FontWeight->"Bold"], " [4] (1995)\n\nSMITH, CAMERON and BLACHMAN, NANCY.\n", StyleBox["The Mathematica Graphics Guidebook", FontSlant->"Italic"], "\nAddison-Wesley Publishing Company." }], "Text"] }, Open ]] }, Open ]] }, FrontEndVersion->"X 3.0", ScreenRectangle->{{0, 1280}, {0, 1024}}, AutoGeneratedPackage->None, WindowSize->{753, 531}, WindowMargins->{{Automatic, 81}, {Automatic, 173}}, StyleDefinitions -> "Default.nb" ] (*********************************************************************** 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[1731, 51, 139, 4, 89, "Title"], Cell[1873, 57, 114, 3, 53, "Subsubtitle"], Cell[1990, 62, 173, 6, 32, "Text"], Cell[2166, 70, 853, 19, 104, "Text"], Cell[CellGroupData[{ Cell[3044, 93, 53, 0, 52, "Section"], Cell[3100, 95, 184, 5, 32, "Text"], Cell[3287, 102, 238, 6, 57, "Input", InitializationCell->True], Cell[3528, 110, 316, 11, 32, "Text"], Cell[3847, 123, 164, 4, 42, "Input", InitializationCell->True], Cell[4014, 129, 1130, 53, 104, "Text"], Cell[5147, 184, 292, 13, 32, "Text"], Cell[5442, 199, 95, 5, 32, "Text"], Cell[CellGroupData[{ Cell[5562, 208, 111, 3, 42, "Input"], Cell[5676, 213, 39, 1, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5752, 219, 64, 0, 27, "Input"], Cell[5819, 221, 39, 1, 27, "Output"] }, Open ]], Cell[5873, 225, 201, 5, 32, "Text"], Cell[CellGroupData[{ Cell[6099, 234, 46, 0, 27, "Input"], Cell[6148, 236, 76, 1, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6261, 242, 44, 1, 27, "Input"], Cell[6308, 245, 76, 1, 27, "Output"] }, Open ]], Cell[6399, 249, 60, 0, 32, "Text"], Cell[CellGroupData[{ Cell[6484, 253, 43, 1, 27, "Input"], Cell[6530, 256, 40, 1, 27, "Output"] }, Open ]], Cell[6585, 260, 95, 5, 32, "Text"], Cell[CellGroupData[{ Cell[6705, 269, 119, 3, 42, "Input"], Cell[6827, 274, 38, 1, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6902, 280, 72, 0, 27, "Input"], Cell[6977, 282, 38, 1, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7052, 288, 43, 1, 27, "Input"], Cell[7098, 291, 40, 1, 27, "Output"] }, Open ]], Cell[7153, 295, 104, 5, 32, "Text"], Cell[CellGroupData[{ Cell[7282, 304, 119, 3, 42, "Input"], Cell[7404, 309, 39, 1, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7480, 315, 72, 0, 27, "Input"], Cell[7555, 317, 39, 1, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7631, 323, 43, 1, 27, "Input"], Cell[7677, 326, 40, 1, 27, "Output"] }, Open ]], Cell[7732, 330, 218, 6, 50, "Text"], Cell[7953, 338, 1163, 53, 86, "Text"], Cell[9119, 393, 660, 23, 86, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[9816, 421, 51, 0, 52, "Section"], Cell[9870, 423, 421, 13, 32, "Text"], Cell[10294, 438, 227, 5, 57, "Input", InitializationCell->True], Cell[10524, 445, 259, 7, 32, "Text"], Cell[10786, 454, 214, 6, 32, "Text"], Cell[11003, 462, 119, 4, 27, "Input", InitializationCell->True], Cell[11125, 468, 166, 5, 32, "Text"], Cell[11294, 475, 222, 5, 72, "Input"], Cell[11519, 482, 163, 4, 32, "Text"], Cell[11685, 488, 72, 0, 27, "Input"], Cell[11760, 490, 154, 2, 42, "Input"], Cell[11917, 494, 48, 0, 32, "Text"], Cell[11968, 496, 51, 0, 27, "Input"], Cell[12022, 498, 111, 2, 27, "Input"], Cell[12136, 502, 161, 2, 42, "Input"], Cell[CellGroupData[{ Cell[12322, 508, 104, 3, 27, "Input"], Cell[12429, 513, 66032, 2547, 146, 40228, 2224, "GraphicsData", "PostScript", "Graphics"] }, Open ]], Cell[78476, 3063, 161, 5, 32, "Text"], Cell[78640, 3070, 49, 0, 32, "Text"], Cell[78692, 3072, 51, 0, 27, "Input"], Cell[78746, 3074, 76, 0, 27, "Input"], Cell[78825, 3076, 161, 2, 42, "Input"], Cell[CellGroupData[{ Cell[79011, 3082, 104, 3, 27, "Input"], Cell[79118, 3087, 65455, 2477, 146, 39449, 2152, "GraphicsData", "PostScript", "Graphics"] }, Open ]], Cell[144588, 5567, 74, 0, 32, "Text"], Cell[144665, 5569, 51, 0, 27, "Input"], Cell[144719, 5571, 76, 0, 27, "Input"], Cell[144798, 5573, 161, 2, 42, "Input"], Cell[CellGroupData[{ Cell[144984, 5579, 104, 3, 27, "Input"], Cell[145091, 5584, 58337, 2435, 146, 40665, 2212, "GraphicsData", "PostScript", "Graphics"] }, Open ]], Cell[203443, 8022, 264, 4, 50, "Text"], Cell[203710, 8028, 121, 5, 32, "Text"], Cell[203834, 8035, 51, 0, 27, "Input"], Cell[203888, 8037, 76, 0, 27, "Input"], Cell[203967, 8039, 161, 2, 42, "Input"], Cell[CellGroupData[{ Cell[204153, 8045, 104, 3, 27, "Input"], Cell[204260, 8050, 56425, 2365, 146, 39555, 2152, "GraphicsData", "PostScript", "Graphics"] }, Open ]], Cell[260700, 10418, 289, 4, 50, "Text"], Cell[260992, 10424, 500, 10, 100, "Input"], Cell[261495, 10436, 48, 0, 32, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[261580, 10441, 68, 0, 52, "Section"], Cell[261651, 10443, 416, 11, 50, "Text"], Cell[262070, 10456, 361, 10, 50, "Text"], Cell[262434, 10468, 581, 17, 50, "Text"], Cell[263018, 10487, 89, 3, 32, "Text"], Cell[263110, 10492, 44, 0, 32, "Text"], Cell[263157, 10494, 379, 9, 132, "Input"], Cell[263539, 10505, 187, 4, 57, "Input"], Cell[263729, 10511, 52, 0, 32, "Text"], Cell[263784, 10513, 21791, 720, 296, 8665, 553, "GraphicsData", "PostScript", "Graphics"], Cell[285578, 11235, 255, 6, 50, "Text"], Cell[285836, 11243, 336, 7, 87, "Input", InitializationCell->True], Cell[286175, 11252, 147, 3, 32, "Text"], Cell[286325, 11257, 45, 0, 27, "Input"], Cell[286373, 11259, 73, 0, 27, "Input"], Cell[CellGroupData[{ Cell[286471, 11263, 150, 4, 42, "Input"], Cell[286624, 11269, 57394, 3054, 217, 26723, 2671, "GraphicsData", "PostScript", "Graphics"] }, Open ]], Cell[344033, 14326, 187, 6, 32, "Text"], Cell[344223, 14334, 45, 0, 27, "Input"], Cell[344271, 14336, 73, 0, 27, "Input"], Cell[CellGroupData[{ Cell[344369, 14340, 150, 4, 42, "Input"], Cell[344522, 14346, 54242, 3070, 208, 27375, 2733, "GraphicsData", "PostScript", "Graphics"] }, Open ]], Cell[398779, 17419, 185, 6, 32, "Text"], Cell[398967, 17427, 45, 0, 27, "Input"], Cell[399015, 17429, 73, 0, 27, "Input"], Cell[CellGroupData[{ Cell[399113, 17433, 150, 4, 42, "Input"], Cell[399266, 17439, 54628, 3052, 205, 27165, 2707, "GraphicsData", "PostScript", "Graphics"] }, Open ]], Cell[453909, 20494, 89, 3, 32, "Text"], Cell[454001, 20499, 482, 11, 68, "Text"], Cell[454486, 20512, 234, 9, 32, "Text"], Cell[454723, 20523, 62, 0, 27, "Input"], Cell[454788, 20525, 176, 5, 50, "Text"], Cell[454967, 20532, 190, 5, 23, "Message"], Cell[CellGroupData[{ Cell[455182, 20541, 40, 1, 27, "Input"], Cell[455225, 20544, 57, 1, 27, "Output"] }, Open ]], Cell[455297, 20548, 233, 7, 32, "Text"], Cell[CellGroupData[{ Cell[455555, 20559, 40, 1, 27, "Input"], Cell[455598, 20562, 62, 1, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[455697, 20568, 40, 1, 27, "Input"], Cell[455740, 20571, 62, 1, 27, "Output"] }, Open ]], Cell[455817, 20575, 51, 0, 32, "Text"], Cell[CellGroupData[{ Cell[455893, 20579, 40, 1, 27, "Input"], Cell[455936, 20582, 49, 1, 27, "Output"] }, Open ]], Cell[456000, 20586, 204, 7, 32, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[456241, 20598, 122, 4, 52, "Section"], Cell[456366, 20604, 342, 8, 50, "Text"], Cell[456711, 20614, 66, 0, 27, "Input"], Cell[456780, 20616, 354, 10, 50, "Text"], Cell[CellGroupData[{ Cell[457159, 20630, 61, 0, 27, "Input"], Cell[457223, 20632, 133, 3, 23, "Message"], Cell[457359, 20637, 54, 1, 27, "Output"] }, Open ]], Cell[457428, 20641, 65, 0, 32, "Text"], Cell[CellGroupData[{ Cell[457518, 20645, 94, 3, 27, "Input"], Cell[457615, 20650, 62945, 1381, 242, 22756, 880, "GraphicsData", "PostScript", "Graphics"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[520609, 22037, 29, 0, 52, "Section"], Cell[520641, 22039, 501, 8, 86, "Text"], Cell[521145, 22049, 510, 13, 68, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[521692, 22067, 34, 0, 52, "Section"], Cell[521729, 22069, 368, 9, 50, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[522134, 22083, 29, 0, 52, "Section"], Cell[522166, 22085, 965, 26, 338, "Text"] }, Open ]] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)