(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.1' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 173007, 4213]*) (*NotebookOutlinePosition[ 174023, 4245]*) (* CellTagsIndexPosition[ 173979, 4241]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " Lesson I" }], "Title"], Cell["Physics 80301 Fall 2005", "Subtitle"], Cell[CellGroupData[{ Cell["Arithmetic", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(2 + 3\)], "Input"], Cell[BoxData[ \(5\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(2 + 3 + 4 + 5\)], "Input"], Cell[BoxData[ \(14\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(4/16\)], "Input"], Cell[BoxData[ \(1\/4\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(2.5 + 6.33\)], "Input"], Cell[BoxData[ \(8.83`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(2*3\)], "Input"], Cell[BoxData[ \(6\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(2\ 3\)], "Input"], Cell[BoxData[ \(6\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(2\ 3\ 4\ 5\)], "Input"], Cell[BoxData[ \(120\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(2^3\)], "Input"], Cell[BoxData[ \(8\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(2^100\)], "Input"], Cell[BoxData[ \(1267650600228229401496703205376\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell["Numerical Evaluation", "Subsection"], Cell[CellGroupData[{ Cell[BoxData[ \(N[2/3]\)], "Input"], Cell[BoxData[ \(0.6666666666666666`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(N[2/3, 40]\)\(\[IndentingNewLine]\) \)\)], "Input"], Cell[BoxData[ \(0.6666666666666666666666666666666666666666666666668947`40\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(N[Pi]\)], "Input"], Cell[BoxData[ \(3.141592653589793`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\((25 - 7)\)\ \((2\ + \ 3)\)\)], "Input"], Cell[BoxData[ \(90\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Functions", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(Sqrt[9]\)], "Input"], Cell[BoxData[ \(3\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Sqrt[7]\)], "Input"], Cell[BoxData[ \(\@7\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(N[%]\)], "Input"], Cell[BoxData[ \(2.6457513110645907`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Sin[Pi]\)], "Input"], Cell[BoxData[ \(0\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Sin[Pi/4]\)], "Input"], Cell[BoxData[ \(1\/\@2\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Cos[1.6]\)], "Input"], Cell[BoxData[ \(\(-0.029199522301288815`\)\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Tan[Pi/4]\)], "Input"], Cell[BoxData[ \(1\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Tan[Pi/2]\)], "Input"], Cell[BoxData[ InterpretationBox["ComplexInfinity", DirectedInfinity[ ]]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Exp[1]\)], "Input"], Cell[BoxData[ \(\[ExponentialE]\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(N[E]\)], "Input"], Cell[BoxData[ \(2.718281828459045`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Exp[0]\)], "Input"], Cell[BoxData[ \(1\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Log[E]\)], "Input"], Cell[BoxData[ \(1\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(N[Log[10, E]]\)], "Input"], Cell[BoxData[ \(0.43429448190325176`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Log[10, 1000]\)], "Input"], Cell[BoxData[ \(3\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Abs[\(-1.3\)]\)], "Input"], Cell[BoxData[ \(1.3`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Round[%]\)], "Input"], Cell[BoxData[ \(1\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Assignments", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(a\ = \ 7\)], "Input"], Cell[BoxData[ \(7\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(a\)], "Input"], Cell[BoxData[ \(7\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[BoxData[ \(Clear[a]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(a\)], "Input"], Cell[BoxData[ \(a\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Manipulations", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(Factor[x^3 + 2 x^2 - 1]\)], "Input"], Cell[BoxData[ \(\((1 + x)\)\ \((\(-1\) + x + x\^2)\)\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Expand[\((a\ x\ + \ b)\)^2 \((x + c)\)]\)], "Input"], Cell[BoxData[ \(b\^2\ c + b\^2\ x + 2\ a\ b\ c\ x + 2\ a\ b\ x\^2 + a\^2\ c\ x\^2 + a\^2\ x\^3\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[%]\)], "Input"], Cell[BoxData[ \(\((c + x)\)\ \((b + a\ x)\)\^2\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(D[x^4, x]\)], "Input"], Cell[BoxData[ \(4\ x\^3\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Sin'\)[x]\)], "Input"], Cell[BoxData[ \(Cos[x]\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Integrate[Log[x], {x, 0, 1}]\)], "Input"], Cell[BoxData[ \(\(-1\)\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Solving Equations", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(Solve[x^2 - 5\ x\ - 6\ \[Equal] 0, x]\)], "Input"], Cell[BoxData[ \({{x \[Rule] \(-1\)}, {x \[Rule] 6}}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Solve[a\ x^2 + b\ x\ + c\ \[Equal] 0, x]\)], "Input"], Cell[BoxData[ \({{x \[Rule] \(\(-b\) - \@\(b\^2 - 4\ a\ c\)\)\/\(2\ a\)}, {x \[Rule] \(\ \(-b\) + \@\(b\^2 - 4\ a\ c\)\)\/\(2\ a\)}}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(a\ x^2\ + \ b\ x\ + \ c\ /. \ %\)\(\[IndentingNewLine]\) \)\)], "Input"], Cell[BoxData[ \({c + \(b\ \((\(-b\) - \@\(b\^2 - 4\ a\ c\))\)\)\/\(2\ a\) + \((\(-b\) - \ \@\(b\^2 - 4\ a\ c\))\)\^2\/\(4\ a\), c + \(b\ \((\(-b\) + \@\(b\^2 - 4\ a\ c\))\)\)\/\(2\ a\) + \((\(-b\) + \ \@\(b\^2 - 4\ a\ c\))\)\^2\/\(4\ a\)}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[a\ x^2 + b\ x\ + \ c\ /. \ %41]\)], "Input"], Cell[BoxData[ \({0, 0}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Solve[{2\ x\ + \ y\ \[Equal] 0, \ 2\ x\ - \ y\ \[Equal] \ 1}, {x, y}]\)], "Input"], Cell[BoxData[ \({{x \[Rule] 1\/4, y \[Rule] \(-\(1\/2\)\)}}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(x\ y\ /. \ %\)], "Input"], Cell[BoxData[ \({\(-\(1\/8\)\)}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(FindRoot[Log[x], \ {x, 2}]\)], "Input"], Cell[BoxData[ \({x \[Rule] 0.9999999999719384`}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Graphics", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(Plot[\((Sin[x]/x)\)^2, {x, \(-2\)\ Pi, 2\ Pi}]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.0757881 0.0147151 0.588608 [ [.04527 .00222 -6 -9 ] [.04527 .00222 6 0 ] [.19685 .00222 -6 -9 ] [.19685 .00222 6 0 ] [.34842 .00222 -6 -9 ] [.34842 .00222 6 0 ] [.65158 .00222 -3 -9 ] [.65158 .00222 3 0 ] [.80315 .00222 -3 -9 ] [.80315 .00222 3 0 ] [.95473 .00222 -3 -9 ] [.95473 .00222 3 0 ] [.4875 .13244 -18 -4.5 ] [.4875 .13244 0 4.5 ] [.4875 .25016 -18 -4.5 ] [.4875 .25016 0 4.5 ] [.4875 .36788 -18 -4.5 ] [.4875 .36788 0 4.5 ] [.4875 .4856 -18 -4.5 ] [.4875 .4856 0 4.5 ] [.4875 .60332 -6 -4.5 ] [.4875 .60332 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .04527 .01472 m .04527 .02097 L s [(-6)] .04527 .00222 0 1 Mshowa .19685 .01472 m .19685 .02097 L s [(-4)] .19685 .00222 0 1 Mshowa .34842 .01472 m .34842 .02097 L s [(-2)] .34842 .00222 0 1 Mshowa .65158 .01472 m .65158 .02097 L s [(2)] .65158 .00222 0 1 Mshowa .80315 .01472 m .80315 .02097 L s [(4)] .80315 .00222 0 1 Mshowa .95473 .01472 m .95473 .02097 L s [(6)] .95473 .00222 0 1 Mshowa .125 Mabswid .08317 .01472 m .08317 .01847 L s .12106 .01472 m .12106 .01847 L s .15895 .01472 m .15895 .01847 L s .23474 .01472 m .23474 .01847 L s .27264 .01472 m .27264 .01847 L s .31053 .01472 m .31053 .01847 L s .38632 .01472 m .38632 .01847 L s .42421 .01472 m .42421 .01847 L s .46211 .01472 m .46211 .01847 L s .53789 .01472 m .53789 .01847 L s .57579 .01472 m .57579 .01847 L s .61368 .01472 m .61368 .01847 L s .68947 .01472 m .68947 .01847 L s .72736 .01472 m .72736 .01847 L s .76526 .01472 m .76526 .01847 L s .84105 .01472 m .84105 .01847 L s .87894 .01472 m .87894 .01847 L s .91683 .01472 m .91683 .01847 L s .00738 .01472 m .00738 .01847 L s .99262 .01472 m .99262 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s .5 .13244 m .50625 .13244 L s [(0.2)] .4875 .13244 1 0 Mshowa .5 .25016 m .50625 .25016 L s [(0.4)] .4875 .25016 1 0 Mshowa .5 .36788 m .50625 .36788 L s [(0.6)] .4875 .36788 1 0 Mshowa .5 .4856 m .50625 .4856 L s [(0.8)] .4875 .4856 1 0 Mshowa .5 .60332 m .50625 .60332 L s [(1)] .4875 .60332 1 0 Mshowa .125 Mabswid .5 .04415 m .50375 .04415 L s .5 .07358 m .50375 .07358 L s .5 .10301 m .50375 .10301 L s .5 .16187 m .50375 .16187 L s .5 .1913 m .50375 .1913 L s .5 .22073 m .50375 .22073 L s .5 .27959 m .50375 .27959 L s .5 .30902 m .50375 .30902 L s .5 .33845 m .50375 .33845 L s .5 .39731 m .50375 .39731 L s .5 .42674 m .50375 .42674 L s .5 .45617 m .50375 .45617 L s .5 .51503 m .50375 .51503 L s .5 .54446 m .50375 .54446 L s .5 .57389 m .50375 .57389 L s .25 Mabswid .5 0 m .5 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .02381 .01472 m .02499 .01472 L .02605 .01473 L .02729 .01475 L .02846 .01477 L .03053 .01484 L .03279 .01493 L .03527 .01507 L .0379 .01526 L .04262 .01569 L .04749 .01628 L .05205 .01695 L .06244 .01892 L .08274 .02427 L .10458 .03128 L .12429 .03726 L .12969 .03863 L .13545 .03991 L .14084 .04091 L .1458 .04162 L .14826 .0419 L .15096 .04215 L .15367 .04233 L .15515 .0424 L .15581 .04243 L .15653 .04245 L .15784 .04248 L .15908 .04249 L .16029 .04249 L .1614 .04247 L .16261 .04244 L .16329 .04242 L .16394 .04239 L .16522 .04233 L .16663 .04224 L .16894 .04205 L .17137 .04179 L .17572 .04119 L .18079 .04025 L .18551 .03917 L .19604 .03606 L .20597 .03242 L .22456 .02469 L .23428 .0208 L .2396 .01891 L .24457 .01738 L .24916 .01622 L .25336 .01542 L .25575 .01509 L .25685 .01497 L Mistroke .25802 .01487 L .25926 .01479 L .26041 .01474 L .26112 .01472 L .26178 .01472 L .26302 .01473 L .26419 .01477 L .26544 .01485 L .26662 .01496 L .26769 .01508 L .27032 .0155 L .27281 .01606 L .27539 .01681 L .27776 .01767 L .28314 .02021 L .28741 .02287 L .29211 .0265 L .30163 .03623 L .31175 .05036 L .32101 .0669 L .34188 .11708 L .36084 .1773 L .38156 .2557 L .42217 .42342 L .44095 .49343 L .46127 .55383 L .46668 .56637 L .4724 .57776 L .4777 .58654 L .48266 .59312 L .48729 .59783 L .48989 .59984 L .49226 .60128 L .49352 .60189 L .49486 .60242 L .49556 .60265 L .49632 .60286 L .49703 .60302 L .49768 .60314 L .49896 .60329 L .49963 .60332 L .50033 .60332 L .50152 .60324 L .50282 .60305 L .50414 .60274 L .50535 .60235 L .50809 .60109 L .51051 .59956 L .51308 .5975 L .51752 .59291 L Mistroke .52241 .58637 L .53322 .56658 L .54335 .54187 L .56361 .47745 L .58214 .40607 L .62187 .24204 L .64191 .16776 L .66008 .11161 L .67977 .06537 L .69057 .04676 L .70075 .03349 L .71052 .02438 L .71544 .02103 L .72084 .01825 L .72545 .01655 L .72804 .01585 L .7304 .01537 L .73259 .01504 L .73383 .01491 L .73498 .01482 L .73598 .01476 L .73708 .01473 L .73824 .01472 L .73932 .01473 L .7405 .01477 L .74175 .01485 L .74294 .01495 L .74402 .01506 L .74666 .01542 L .74916 .01587 L .75413 .01702 L .75952 .01862 L .77802 .02577 L .79752 .03376 L .80786 .03731 L .81356 .03893 L .81896 .0402 L .82406 .04115 L .82675 .04156 L .82961 .0419 L .83226 .04216 L .83466 .04232 L .83582 .04238 L .83707 .04243 L .83825 .04247 L .83934 .04248 L .84044 .04249 L .84163 .04249 L .84274 .04247 L .84376 .04244 L Mistroke .84496 .0424 L .84625 .04234 L .84861 .04218 L .85108 .04197 L .85369 .04168 L .85839 .04103 L .86779 .03922 L .87791 .03665 L .89621 .03102 L .91591 .02468 L .92632 .02167 L .93742 .01895 L .94285 .01784 L .94796 .01695 L .95294 .01622 L .95752 .01568 L .96188 .01527 L .9641 .01511 L .96649 .01497 L .96888 .01486 L .96995 .01482 L .97111 .01478 L .97182 .01477 L .97248 .01475 L .97377 .01473 L .97494 .01472 L .97619 .01472 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", GeneratedCell->False, CellAutoOverwrite->False, ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`00Q`3oool3 000000D0oooo00<000000?ooo`3oool0SP3oool008T0oooo00<000000?ooo`3oool00`3oool00`00 0000oooo0?ooo`2>0?ooo`00\ \>"], ImageRangeCache->{{{161, 448}, {349.75, 172.812}} -> {-14.777, 1.00273, \ 0.0485287, 0.00624846}, {{201.25, 560}, {437.25, 216.062}} -> {-14.777, \ 1.00273, 0.0485287, 0.00624846}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(Plot[\((Sin[x]/x)\)^2, {x, \(-2\)\ Pi, 2\ Pi}, PlotStyle \[Rule] {Thickness[0.015], RGBColor[1, 0, 0]}, \ AxesLabel -> {X, Y}]\)\(\[IndentingNewLine]\)\(\[IndentingNewLine]\) \)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.5 0.0757881 0.0147151 0.588608 [ [.04527 .00222 -6 -9 ] [.04527 .00222 6 0 ] [.19685 .00222 -6 -9 ] [.19685 .00222 6 0 ] [.34842 .00222 -6 -9 ] [.34842 .00222 6 0 ] [.65158 .00222 -3 -9 ] [.65158 .00222 3 0 ] [.80315 .00222 -3 -9 ] [.80315 .00222 3 0 ] [.95473 .00222 -3 -9 ] [.95473 .00222 3 0 ] [1.025 .01472 0 -4.90625 ] [1.025 .01472 10 4.90625 ] [.4875 .13244 -18 -4.5 ] [.4875 .13244 0 4.5 ] [.4875 .25016 -18 -4.5 ] [.4875 .25016 0 4.5 ] [.4875 .36788 -18 -4.5 ] [.4875 .36788 0 4.5 ] [.4875 .4856 -18 -4.5 ] [.4875 .4856 0 4.5 ] [.4875 .60332 -6 -4.5 ] [.4875 .60332 0 4.5 ] [.5 .64303 -5 0 ] [.5 .64303 5 9.8125 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .04527 .01472 m .04527 .02097 L s [(-6)] .04527 .00222 0 1 Mshowa .19685 .01472 m .19685 .02097 L s [(-4)] .19685 .00222 0 1 Mshowa .34842 .01472 m .34842 .02097 L s [(-2)] .34842 .00222 0 1 Mshowa .65158 .01472 m .65158 .02097 L s [(2)] .65158 .00222 0 1 Mshowa .80315 .01472 m .80315 .02097 L s [(4)] .80315 .00222 0 1 Mshowa .95473 .01472 m .95473 .02097 L s [(6)] .95473 .00222 0 1 Mshowa .125 Mabswid .08317 .01472 m .08317 .01847 L s .12106 .01472 m .12106 .01847 L s .15895 .01472 m .15895 .01847 L s .23474 .01472 m .23474 .01847 L s .27264 .01472 m .27264 .01847 L s .31053 .01472 m .31053 .01847 L s .38632 .01472 m .38632 .01847 L s .42421 .01472 m .42421 .01847 L s .46211 .01472 m .46211 .01847 L s .53789 .01472 m .53789 .01847 L s .57579 .01472 m .57579 .01847 L s .61368 .01472 m .61368 .01847 L s .68947 .01472 m .68947 .01847 L s .72736 .01472 m .72736 .01847 L s .76526 .01472 m .76526 .01847 L s .84105 .01472 m .84105 .01847 L s .87894 .01472 m .87894 .01847 L s .91683 .01472 m .91683 .01847 L s .00738 .01472 m .00738 .01847 L s .99262 .01472 m .99262 .01847 L s .25 Mabswid 0 .01472 m 1 .01472 L s gsave 1.025 .01472 -61 -8.90625 Mabsadd m 1 1 Mabs scale currentpoint translate 0 17.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 11.250 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (X) show 1.000 setlinewidth grestore .5 .13244 m .50625 .13244 L s [(0.2)] .4875 .13244 1 0 Mshowa .5 .25016 m .50625 .25016 L s [(0.4)] .4875 .25016 1 0 Mshowa .5 .36788 m .50625 .36788 L s [(0.6)] .4875 .36788 1 0 Mshowa .5 .4856 m .50625 .4856 L s [(0.8)] .4875 .4856 1 0 Mshowa .5 .60332 m .50625 .60332 L s [(1)] .4875 .60332 1 0 Mshowa .125 Mabswid .5 .04415 m .50375 .04415 L s .5 .07358 m .50375 .07358 L s .5 .10301 m .50375 .10301 L s .5 .16187 m .50375 .16187 L s .5 .1913 m .50375 .1913 L s .5 .22073 m .50375 .22073 L s .5 .27959 m .50375 .27959 L s .5 .30902 m .50375 .30902 L s .5 .33845 m .50375 .33845 L s .5 .39731 m .50375 .39731 L s .5 .42674 m .50375 .42674 L s .5 .45617 m .50375 .45617 L s .5 .51503 m .50375 .51503 L s .5 .54446 m .50375 .54446 L s .5 .57389 m .50375 .57389 L s .25 Mabswid .5 0 m .5 .61803 L s gsave .5 .64303 -66 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 17.8125 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 11.250 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (Y) show 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 1 0 0 r .015 w .02381 .01472 m .02499 .01472 L .02605 .01473 L .02729 .01475 L .02846 .01477 L .03053 .01484 L .03279 .01493 L .03527 .01507 L .0379 .01526 L .04262 .01569 L .04749 .01628 L .05205 .01695 L .06244 .01892 L .08274 .02427 L .10458 .03128 L .12429 .03726 L .12969 .03863 L .13545 .03991 L .14084 .04091 L .1458 .04162 L .14826 .0419 L .15096 .04215 L .15367 .04233 L .15515 .0424 L .15581 .04243 L .15653 .04245 L .15784 .04248 L .15908 .04249 L .16029 .04249 L .1614 .04247 L .16261 .04244 L .16329 .04242 L .16394 .04239 L .16522 .04233 L .16663 .04224 L .16894 .04205 L .17137 .04179 L .17572 .04119 L .18079 .04025 L .18551 .03917 L .19604 .03606 L .20597 .03242 L .22456 .02469 L .23428 .0208 L .2396 .01891 L .24457 .01738 L .24916 .01622 L .25336 .01542 L .25575 .01509 L .25685 .01497 L Mistroke .25802 .01487 L .25926 .01479 L .26041 .01474 L .26112 .01472 L .26178 .01472 L .26302 .01473 L .26419 .01477 L .26544 .01485 L .26662 .01496 L .26769 .01508 L .27032 .0155 L .27281 .01606 L .27539 .01681 L .27776 .01767 L .28314 .02021 L .28741 .02287 L .29211 .0265 L .30163 .03623 L .31175 .05036 L .32101 .0669 L .34188 .11708 L .36084 .1773 L .38156 .2557 L .42217 .42342 L .44095 .49343 L .46127 .55383 L .46668 .56637 L .4724 .57776 L .4777 .58654 L .48266 .59312 L .48729 .59783 L .48989 .59984 L .49226 .60128 L .49352 .60189 L .49486 .60242 L .49556 .60265 L .49632 .60286 L .49703 .60302 L .49768 .60314 L .49896 .60329 L .49963 .60332 L .50033 .60332 L .50152 .60324 L .50282 .60305 L .50414 .60274 L .50535 .60235 L .50809 .60109 L .51051 .59956 L .51308 .5975 L .51752 .59291 L Mistroke .52241 .58637 L .53322 .56658 L .54335 .54187 L .56361 .47745 L .58214 .40607 L .62187 .24204 L .64191 .16776 L .66008 .11161 L .67977 .06537 L .69057 .04676 L .70075 .03349 L .71052 .02438 L .71544 .02103 L .72084 .01825 L .72545 .01655 L .72804 .01585 L .7304 .01537 L .73259 .01504 L .73383 .01491 L .73498 .01482 L .73598 .01476 L .73708 .01473 L .73824 .01472 L .73932 .01473 L .7405 .01477 L .74175 .01485 L .74294 .01495 L .74402 .01506 L .74666 .01542 L .74916 .01587 L .75413 .01702 L .75952 .01862 L .77802 .02577 L .79752 .03376 L .80786 .03731 L .81356 .03893 L .81896 .0402 L .82406 .04115 L .82675 .04156 L .82961 .0419 L .83226 .04216 L .83466 .04232 L .83582 .04238 L .83707 .04243 L .83825 .04247 L .83934 .04248 L .84044 .04249 L .84163 .04249 L .84274 .04247 L .84376 .04244 L Mistroke .84496 .0424 L .84625 .04234 L .84861 .04218 L .85108 .04197 L .85369 .04168 L .85839 .04103 L .86779 .03922 L .87791 .03665 L .89621 .03102 L .91591 .02468 L .92632 .02167 L .93742 .01895 L .94285 .01784 L .94796 .01695 L .95294 .01622 L .95752 .01568 L .96188 .01527 L .9641 .01511 L .96649 .01497 L .96888 .01486 L .96995 .01482 L .97111 .01478 L .97182 .01477 L .97248 .01475 L .97377 .01473 L .97494 .01472 L .97619 .01472 L Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", GeneratedCell->False, CellAutoOverwrite->False, ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`030000003oool000000180oooo000<0?ooo`@000003P00 0?lV000000l0003oJ000000?0000obD000003P000?l6000000T0oooo00<000000?ooo`3oool04@3o ool000d0oooo00<000000?ooo`3oool04P000?l70?ooo`030000003oool0oooo00L0oooo00<00000 0?ooo`3oool01P3oool00`000000oooo0?ooo`030?oooa80003o103oool00`000000oooo0?ooo`07 0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`07 0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`07 0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`07 0?ooo`040000003oool0oooo0?oooa@0003o103oool00`000000oooo0?ooo`060?ooo`030000003o ool0oooo00H0oooo00<000000?ooo`3oool01P3oool@0000o`<0oooo00<000000?ooo`3oool02@3o ool00`000000oooo0?ooo`0A0?ooo`006P3oool;0000oaX0oooo2P000?l70?ooo`H0003o<@3oool0 0`000000oooo0?ooo`0_0?ooo`H0003o1`3oool:0000oaX0oooo2`000?lF0?ooo`030000003oool0 00000180oooo000N0?ooo`X0003o5@3oool80000o``0oooo1P000?l`0?ooo`030000003oool0oooo 02d0oooo1P000?l=0?ooo`P0003o5@3oool90000oaX0oooo0P0000000`3oool000000000000A0?oo o`008@3oool;0000o`l0oooo20000?l@0?ooo`D0003o;`3oool00`000000oooo0?ooo`0]0?ooo`@0 003o4P3oool80000o`h0oooo2`000?lb0?ooo`00903ooolL0000oa@0oooo10000?l_0?ooo`030000 003oool0oooo02`0oooo10000?lE0?oooa`0003o=@3oool002P0oooo5P000?lG0?ooo`@0003o;P3o ool00`000000oooo0?ooo`0/0?ooo`<0003o6@3ooolE0000ocT0oooo000[0?oooa00003o6`3oool4 0000obd0oooo0P00000/0?ooo`@0003o6P3ooolA0000oc`0oooo001G0?ooo`<0003o;@3oool00`00 0000oooo0?ooo`0[0?ooo`<0003oJ03oool005L0oooo10000?l/0?ooo`030000003oool0oooo02X0 oooo10000?mX0?ooo`00F03oool30000ob`0oooo00<000000?ooo`3oool0:@3oool40000ofT0oooo 001I0?ooo`<0003o:`3oool00`000000oooo0?ooo`0X0?ooo`@0003oJP3oool005T0oooo10000?lZ 0?ooo`030000003oool0oooo02P0oooo0`000?m[0?ooo`00FP3oool30000obX0oooo00<000000?oo o`3oool09`3oool40000of/0oooo001J0?ooo`@0003o:@3oool2000002P0oooo0`000?m/0?ooo`00 F`3oool30000obT0oooo00<000000?ooo`3oool09`3oool30000of`0oooo001K0?ooo`<0003o:@3o ool00`000000oooo0?ooo`0V0?ooo`<0003oK@3oool005`0oooo0`000?lX0?ooo`030000003oool0 oooo02H0oooo0`000?m]0?ooo`00G03oool30000obP0oooo00<000000?ooo`3oool09@3oool40000 ofd0oooo001L0?ooo`@0003o9`3oool00`000000oooo0?ooo`0U0?ooo`<0003oKP3oool005d0oooo 0`000?lW0?ooo`030000003oool0oooo02D0oooo0`000?m^0?ooo`00G@3oool30000obL0oooo0P00 000U0?ooo`<0003oK`3oool005h0oooo0`000?lV0?ooo`030000003oool0oooo02@0oooo0`000?m_ 0?ooo`00GP3oool30000obH0oooo00<000000?ooo`3oool08`3oool40000ofl0oooo001N0?ooo`@0 003o9@3oool00`000000oooo0?ooo`0S0?ooo`<0003oL03oool005l0oooo0`000?lU0?ooo`030000 003oool0oooo02<0oooo0`000?m`0?ooo`00G`3oool30000obD0oooo00<000000?ooo`3oool08P3o ool30000og40oooo001P0?ooo`<0003o4@3oool2000000@0oooo00<000000?ooo`3oool00P3oool4 000000@0oooo00<000000?ooo`3oool08P3oool30000og40oooo001P0?ooo`<0003o403oool01000 0000oooo0?ooo`0000080?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool08P3oool3 0000og40oooo001P0?ooo`<0003o403oool010000000oooo0?ooo`0000090?ooo`030000003oool0 oooo00@0oooo0P00000R0?ooo`@0003oL@3oool00640oooo0`000?l?0?ooo`040000003oool0oooo 000000X0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`0Q0?ooo`<0003oLP3oool0 0640oooo0`000?l?0?ooo`040000003oool0oooo000000/0oooo00<000000?ooo`3oool00P3oool0 0`000000oooo0?ooo`0Q0?ooo`<0003oLP3oool00640oooo0`000?l?0?ooo`040000003oool0oooo 000000P0oooo00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`0P0?ooo`@0003oLP3o ool00680oooo0`000?l?0?ooo`8000002P3oool2000000D0oooo00<000000?ooo`3oool0803oool3 0000og<0oooo001R0?ooo`<0003o8P3oool00`000000oooo0?ooo`0P0?ooo`<0003oL`3oool00680 oooo0`000?lR0?ooo`030000003oool0oooo0200oooo0`000?mc0?ooo`00H`3oool30000ob40oooo 0P00000P0?ooo`<0003oM03oool006<0oooo0`000?lQ0?ooo`030000003oool0oooo01l0oooo0`00 0?md0?ooo`00H`3oool30000ob40oooo00<000000?ooo`3oool07`3oool30000og@0oooo001T0?oo o`<0003o803oool00`000000oooo0?ooo`0N0?ooo`@0003oM03oool006@0oooo0`000?lP0?ooo`03 0000003oool0oooo01h0oooo0`000?me0?ooo`00I03oool30000ob00oooo00<000000?ooo`3oool0 7P3oool30000ogD0oooo001T0?ooo`@0003o7`3oool00`000000oooo0?ooo`0N0?ooo`<0003oM@3o ool006D0oooo0`000?lO0?ooo`8000007P3oool30000ogH0oooo001U0?ooo`<0003o7`3oool00`00 0000oooo0?ooo`0M0?ooo`<0003oMP3oool006D0oooo0`000?lO0?ooo`030000003oool0oooo01d0 oooo0`000?mf0?ooo`00IP3oool30000oah0oooo00<000000?ooo`3oool07@3oool30000ogH0oooo 001V0?ooo`<0003o7P3oool00`000000oooo0?ooo`0L0?ooo`<0003oM`3oool006H0oooo0`000?lN 0?ooo`030000003oool0oooo01`0oooo0`000?mg0?ooo`00IP3oool30000oah0oooo00<000000?oo o`3oool0703oool30000ogL0oooo001W0?ooo`<0003o7@3oool2000001d0oooo0`000?mg0?ooo`00 I`3oool30000oad0oooo00<000000?ooo`3oool06`3oool30000ogP0oooo001W0?ooo`<0003o7@3o ool00`000000oooo0?ooo`0K0?ooo`<0003oN03oool006L0oooo0`000?lM0?ooo`030000003oool0 oooo01/0oooo0`000?mh0?ooo`00J03oool30000oa`0oooo00<000000?ooo`3oool06P3oool40000 ogP0oooo001X0?ooo`<0003o703oool00`000000oooo0?ooo`0J0?ooo`<0003oN@3oool006P0oooo 0`000?l90?ooo`800000103oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00<0oooo 00<000000?ooo`3oool06P3oool30000ogT0oooo001X0?ooo`@0003o1`3oool010000000oooo0?oo o`00000:0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool06P3oool30000ogT0oooo 001Y0?ooo`<0003o1`3oool010000000oooo0?ooo`0000070?ooo`D00000103oool2000001X0oooo 10000?mi0?ooo`00J@3oool30000o`L0oooo00@000000?ooo`3oool000001`3oool010000000oooo 0?ooo`0000050?ooo`030000003oool0oooo01T0oooo0`000?mj0?ooo`00J@3oool30000o`L0oooo 00@000000?ooo`3oool00000203oool00`000000oooo000000050?ooo`030000003oool0oooo01T0 oooo0`000?mj0?ooo`00J@3oool40000o`H0oooo00@000000?ooo`3oool000002@3oool2000000D0 oooo00<000000?ooo`3oool06@3oool30000ogX0oooo001Z0?ooo`<0003o1`3oool2000000/0oooo 00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`0H0?ooo`@0003oNP3oool006X0oooo0`00 0?lJ0?ooo`030000003oool0oooo01P0oooo0`000?mk0?ooo`00JP3oool30000oaX0oooo00<00000 0?ooo`3oool0603oool30000og/0oooo001Z0?ooo`@0003o6@3oool2000001T0oooo0`000?mk0?oo o`00J`3oool30000oaT0oooo00<000000?ooo`3oool05`3oool40000og/0oooo001[0?ooo`<0003o 6@3oool00`000000oooo0?ooo`0G0?ooo`<0003oO03oool006/0oooo0`000?lI0?ooo`030000003o ool0oooo01L0oooo0`000?ml0?ooo`00J`3oool30000oaT0oooo00<000000?ooo`3oool05`3oool3 0000og`0oooo001/0?ooo`<0003o603oool00`000000oooo0?ooo`0F0?ooo`@0003oO03oool006`0 oooo0`000?lH0?ooo`030000003oool0oooo01H0oooo0`000?mm0?ooo`00K03oool30000oaP0oooo 0P00000G0?ooo`<0003oO@3oool006`0oooo0`000?lH0?ooo`030000003oool0oooo01H0oooo0`00 0?mm0?ooo`00K@3oool30000oaL0oooo00<000000?ooo`3oool05@3oool40000ogd0oooo001]0?oo o`<0003o5`3oool00`000000oooo0?ooo`0E0?ooo`<0003oOP3oool006d0oooo0`000?lG0?ooo`03 0000003oool0oooo01D0oooo0`000?mn0?ooo`00K@3oool30000oaL0oooo00<000000?ooo`3oool0 5@3oool30000ogh0oooo001^0?ooo`<0003o5P3oool00`000000oooo0?ooo`0D0?ooo`@0003oOP3o ool006h0oooo0`000?lF0?ooo`030000003oool0oooo01@0oooo0`000?mo0?ooo`00KP3oool30000 oaH0oooo0P00000E0?ooo`<0003oO`3oool006h0oooo0`000?lF0?ooo`030000003oool0oooo01@0 oooo0`000?mo0?ooo`00K`3oool30000oaD0oooo00<000000?ooo`3oool04`3oool40000ogl0oooo 001_0?ooo`<0003o5@3oool00`000000oooo0?ooo`0C0?ooo`<0003oP03oool006l0oooo0`000?lE 0?ooo`030000003oool0oooo01<0oooo0`000?n00?ooo`00K`3oool30000o`80oooo0P0000040?oo o`030000003oool0oooo00<0oooo0P0000050?ooo`030000003oool0oooo01<0oooo0`000?n00?oo o`00L03oool30000o`040000003oool0oooo000000P0oooo00@000000?ooo`3oool00000103oool0 0`000000oooo0?ooo`0B0?ooo`@0003oP03oool00700oooo0`000?l010000000oooo0?ooo`000008 0?ooo`040000003oool0oooo000000@0oooo0P00000C0?ooo`<0003oP@3oool00700oooo0`000?l0 10000000oooo0?ooo`0000080?ooo`<000001@3oool00`000000oooo0?ooo`0B0?ooo`<0003oP@3o ool00700oooo0`000?l010000000oooo0?ooo`0000080?ooo`030000003oool0oooo00D0oooo00<0 00000?ooo`3oool04P3oool30000oh40oooo001a0?ooo`<0003o0P3oool00`000000oooo0?ooo`06 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool04@3oool40000oh40oooo001a0?oo o`<0003o0P00000:0?ooo`<00000103oool00`000000oooo0?ooo`0A0?ooo`<0003oPP3oool00740 oooo0`000?lC0?ooo`030000003oool0oooo0140oooo0`000?n20?ooo`00L@3oool30000oa<0oooo 00<000000?ooo`3oool04@3oool30000oh80oooo001a0?ooo`@0003o4P3oool200000140oooo1000 0?n20?ooo`00LP3oool30000oa80oooo00<000000?ooo`3oool0403oool30000oh<0oooo001b0?oo o`<0003o4P3oool00`000000oooo0?ooo`0@0?ooo`<0003oP`3oool00780oooo0`000?lB0?ooo`03 0000003oool0oooo0100oooo0`000?n30?ooo`00LP3oool40000oa40oooo00<000000?ooo`3oool0 403oool30000oh<0oooo001c0?ooo`<0003o4@3oool00`000000oooo0?ooo`0?0?ooo`<0003oQ03o ool007<0oooo0`000?lA0?ooo`030000003oool0oooo00l0oooo0`000?n40?ooo`00L`3oool30000 oa40oooo0P00000@0?ooo`<0003oQ03oool007<0oooo0`000?lA0?ooo`030000003oool0oooo00l0 oooo0`000?n40?ooo`00M03oool30000oa00oooo00<000000?ooo`3oool03P3oool30000ohD0oooo 001d0?ooo`<0003o403oool00`000000oooo0?ooo`0>0?ooo`<0003oQ@3oool007@0oooo0`000?l@ 0?ooo`030000003oool0oooo00h0oooo0`000?n50?ooo`00M03oool30000oa00oooo00<000000?oo o`3oool03P3oool30000ohD0oooo001e0?ooo`<0003o3`3oool00`000000oooo0?ooo`0>0?ooo`<0 003oQ@3oool007D0oooo0`000?l?0?ooo`030000003oool0oooo00d0oooo0`000?n60?ooo`00M@3o ool30000o`l0oooo0P00000>0?ooo`<0003oQP3oool007D0oooo0`000?l?0?ooo`030000003oool0 oooo00d0oooo0`000?n60?ooo`00M@3oool30000o`l0oooo00<000000?ooo`3oool03@3oool30000 ohH0oooo001f0?ooo`<0003o3P3oool00`000000oooo0?ooo`0<0?ooo`<0003oQ`3oool007H0oooo 0`000?l>0?ooo`030000003oool0oooo00`0oooo0`000?n70?ooo`00M03oool2000000<0003o00<0 oooo0000003oool0103oool2000000D0oooo00<000000?ooo`3oool0303oool30000ohL0oooo001c 0?ooo`030000003oool0oooo00<0003o1P3oool010000000oooo0?ooo`0000040?ooo`030000003o ool0oooo00`0oooo0`000?n70?ooo`00L`3oool010000000oooo0?ooo`0000030000o`D0oooo00@0 00000?ooo`3oool00000103oool2000000`0oooo0`000?n80?ooo`00L`3oool010000000oooo0?oo o`0000030000o`H0oooo0P0000050?ooo`030000003oool0oooo00/0oooo0`000?n80?ooo`00L`3o ool010000000oooo0?ooo`0000030000o`D0oooo00@000000?ooo`3oool00000103oool00`000000 oooo0?ooo`0;0?ooo`<0003oR03oool007<0oooo00@000000?ooo`3oool000000`000?l50?ooo`04 0000003oool0oooo000000@0oooo00<000000?ooo`3oool02P3oool40000ohP0oooo001d0?ooo`80 00000P3oool30000o`D0oooo0P0000050?ooo`030000003oool0oooo00X0oooo0`000?n90?ooo`00 N03oool30000o``0oooo00<000000?ooo`3oool02P3oool30000ohT0oooo001h0?ooo`<0003o303o ool00`000000oooo0?ooo`090?ooo`@0003oR@3oool007T0oooo0`000?l;0?ooo`8000002P3oool3 0000ohX0oooo001i0?ooo`<0003o2`3oool00`000000oooo0?ooo`090?ooo`<0003oRP3oool007T0 oooo0`000?l;0?ooo`030000003oool0oooo00P0oooo10000?n:0?ooo`00NP3oool30000o`X0oooo 00<000000?ooo`3oool0203oool30000oh/0oooo001j0?ooo`<0003o2P3oool00`000000oooo0?oo o`080?ooo`<0003oR`3oool007X0oooo0`000?l:0?ooo`030000003oool0oooo00P0oooo0`000?n; 0?ooo`00N`3oool30000o`T0oooo00<000000?ooo`3oool01`3oool30000oh`0oooo001k0?ooo`<0 003o2@3oool2000000P0oooo0`000?n<0?ooo`00N`3oool30000o`T0oooo00<000000?ooo`3oool0 1P3oool40000oh`0oooo001l0?ooo`<0003o203oool00`000000oooo0?ooo`060?ooo`<0003oS@3o ool007`0oooo0`000?l80?ooo`030000003oool0oooo00D0oooo10000?n=0?ooo`00O03oool40000 o`L0oooo00<000000?ooo`3oool01@3oool30000ohh0oooo001m0?ooo`@0003o1P3oool00`000000 oooo0?ooo`040?ooo`@0003oSP3oool007h0oooo0`000?l60?ooo`030000003oool0oooo00@0oooo 0`000?n?0?ooo`00OP3oool30000o`H0oooo00<000000?ooo`3oool00`3oool40000ohl0oooo001o 0?ooo`<0003o1@3oool2000000@0oooo0`000?n@0?ooo`00O`3oool30000o`D0oooo00<000000?oo o`3oool00P3oool30000oi40oooo001o0?ooo`@0003o103oool010000000oooo0?ooo`3oool40000 oi40oooo00200?ooo`D0003o0P3oool00`000000oooo0?ooo`040000oi80oooo00200?ooo`D0003o 0P3oool00`000000oooo0000o`040000oi80oooo001o0?ooo`<000001@000?l00`000000003o0000 o`030000oi<0oooo00210?ooo`030000003oool0003o00P0003oU03oool00840oooo00<000000?oo o`000?l020000?nD0?ooo`00P@3oool00`000000oooo0?ooo`060000oiH0oooo00210?ooo`030000 003oool0oooo00<0oooo00<000000?ooo`3oool0UP3oool007l0oooo0`0000050?ooo`030000003o ool0oooo09H0oooo00210?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0UP3oool0 0?l0oooo8@3oool00?l0oooo8@3oool00?l0oooo8@3oool00?l0oooo8@3oool00?l0oooo8@3oool0 0?l0oooo8@3oool00?l0oooo8@3oool00?l0oooo8@3oool008D0oooo0`00002H0?ooo`00QP3oool0 0`000000oooo0?ooo`2G0?ooo`00QP3oool00`000000oooo0?ooo`2G0?ooo`00Q@3oool00`000000 oooo0000002H0?ooo`00Q03oool01@000000oooo0?ooo`3oool0000009L0oooo00240?ooo`800000 00<0oooo000000000000U`3oool00?l0oooo8@3oool00001\ \>"], ImageRangeCache->{{{161, 448}, {659.875, 483}} -> {-15.8501, 3.24228, \ 0.0534727, 0.00688505}, {{201.25, 560}, {824.875, 603.75}} -> {-15.8501, \ 3.24228, 0.0534727, 0.00688505}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Plot3D[ Sin[x]*Cos[y], {x, \(-Pi\), Pi}, {y, \(-2\)\ Pi, 2\ Pi}]\)], "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 [ [.13491 .20394 -11.9698 -9 ] [.13491 .20394 .03022 0 ] [.3345 .12542 -5.5867 -9 ] [.3345 .12542 .4133 0 ] [.55031 .04057 -5.18851 -9 ] [.55031 .04057 .81149 0 ] [.73568 .04839 0 -6.20944 ] [.73568 .04839 12 2.79056 ] [.8565 .23339 0 -6.03127 ] [.8565 .23339 6 2.96873 ] [.95831 .38931 0 -5.88673 ] [.95831 .38931 6 3.11327 ] [.02454 .26244 -12 -2.74006 ] [.02454 .26244 0 6.25994 ] [.0159 .31657 -24 -2.78582 ] [.0159 .31657 0 6.21418 ] [.00696 .37264 -6 -2.83339 ] [.00696 .37264 0 6.16661 ] [-0.00232 .43075 -18 -2.88287 ] [-0.00232 .43075 0 6.11713 ] [-0.01193 .49103 -6 -2.93439 ] [-0.01193 .49103 0 6.06561 ] [ 0 0 0 0 ] [ 1 .81114 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .03716 .25514 m .68874 0 L s .14416 .21324 m .14879 .21789 L s [(-2)] .13491 .20394 .99496 1 Mshowa .34306 .13535 m .34735 .14032 L s [(0)] .3345 .12542 .86223 1 Mshowa .55805 .05117 m .56192 .05647 L s [(2)] .55031 .04057 .7295 1 Mshowa .125 Mabswid .19248 .19432 m .19521 .19716 L s .24172 .17504 m .2444 .17792 L s .2919 .15539 m .29453 .15832 L s .39523 .11493 m .39774 .11796 L s .44843 .0941 m .45088 .09718 L s .50269 .07285 m .50508 .07598 L s .09674 .23181 m .09956 .23455 L s .05019 .25004 m .05305 .25274 L s .61454 .02905 m .61679 .03228 L s .67219 .00648 m .67437 .00976 L s .25 Mabswid .68874 0 m .96935 .42924 L s .72342 .05305 m .71728 .05538 L s [(-5)] .73568 .04839 -1 .37988 Mshowa .84407 .23761 m .83786 .23973 L s [(0)] .8565 .23339 -1 .34028 Mshowa .94577 .39318 m .9395 .39511 L s [(5)] .95831 .38931 -1 .30816 Mshowa .125 Mabswid .74932 .09266 m .74563 .09403 L s .77428 .13086 m .77058 .1322 L s .79837 .1677 m .79466 .16902 L s .82162 .20326 m .8179 .20455 L s .86578 .27081 m .86204 .27206 L s .88677 .30292 m .88302 .30414 L s .90707 .33398 m .90332 .33518 L s .92673 .36405 m .92298 .36523 L s .69654 .01193 m .69287 .01336 L s .96423 .4214 m .96046 .42254 L s .25 Mabswid .03716 .25514 m 0 .48963 L s .03676 .25766 m .04287 .25527 L s [(-1)] .02454 .26244 1 -0.3911 Mshowa .02817 .3119 m .0343 .30956 L s [(-0.5)] .0159 .31657 1 -0.38093 Mshowa .01926 .36808 m .02541 .3658 L s [(0)] .00696 .37264 1 -0.37036 Mshowa .01003 .42631 m .01621 .4241 L s [(0.5)] -0.00232 .43075 1 -0.35936 Mshowa .00046 .48671 m .00666 .48456 L s [(1)] -0.01193 .49103 1 -0.34791 Mshowa .125 Mabswid .03507 .26836 m .03873 .26693 L s .03336 .27913 m .03703 .27771 L s .03164 .28997 m .03531 .28856 L s .02991 .3009 m .03358 .29949 L s .02641 .32298 m .03009 .32158 L s .02464 .33413 m .02833 .33274 L s .02286 .34537 m .02655 .34399 L s .02107 .35668 m .02476 .35531 L s .01744 .37956 m .02114 .3782 L s .01561 .39112 m .01931 .38977 L s .01377 .40277 m .01746 .40142 L s .01191 .4145 m .01561 .41316 L s .00815 .43822 m .01185 .43689 L s .00625 .45021 m .00996 .44889 L s .00433 .46229 m .00805 .46098 L s .0024 .47445 m .00612 .47315 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 .817 .767 .806 r .37901 .68206 .40169 .70185 .44058 .64666 .41802 .64302 Metetra .841 .922 .886 r .41802 .64302 .44058 .64666 .4789 .60064 .45684 .60951 Metetra .536 .916 .774 r .45684 .60951 .4789 .60064 .51695 .57017 .49562 .58577 Metetra .108 0 0 r .49562 .58577 .51695 .57017 .55526 .55867 .53471 .57411 Metetra .387 0 0 r .53471 .57411 .55526 .55867 .59452 .56636 .57455 .57466 Metetra .478 0 0 r .57455 .57466 .59452 .56636 .6353 .59017 .61553 .58534 Metetra .35 0 0 r .61553 .58534 .6353 .59017 .67796 .62396 .6579 .60207 Metetra .172 .509 .912 r .6579 .60207 .67796 .62396 .72243 .65918 .70164 .61933 Metetra .459 .534 .847 r .70164 .61933 .72243 .65918 .76815 .68621 .74643 .63117 Metetra .569 .536 .778 r .74643 .63117 .76815 .68621 .81416 .69643 .79171 .63244 Metetra .631 .55 .745 r .79171 .63244 .81416 .69643 .85934 .68456 .83682 .62004 Metetra .68 .577 .733 r .83682 .62004 .85934 .68456 .90282 .6503 .88123 .59379 Metetra .727 .62 .739 r .88123 .59379 .90282 .6503 .94428 .5985 .92469 .55652 Metetra .779 .69 .766 r .92469 .55652 .94428 .5985 .98416 .53763 .96743 .51328 Metetra .515 .706 .958 r .35573 .66174 .37901 .68206 .41802 .64302 .39383 .66072 Metetra .333 0 0 r .39383 .66072 .41802 .64302 .45684 .60951 .43276 .65764 Metetra .463 .104 .271 r .43276 .65764 .45684 .60951 .49562 .58577 .47251 .65078 Metetra .468 .145 .335 r .47251 .65078 .49562 .58577 .53471 .57411 .51297 .63914 Metetra .44 .119 .323 r .51297 .63914 .53471 .57411 .57455 .57466 .554 .62266 Metetra .351 0 .216 r .554 .62266 .57455 .57466 .61553 .58534 .59546 .60225 Metetra .59546 .60225 .61553 .58534 .6579 .60207 .63727 .57956 Metetra .739 .774 .882 r .63727 .57956 .6579 .60207 .70164 .61933 .67946 .55667 Metetra .664 .568 .737 r .67946 .55667 .70164 .61933 .74643 .63117 .72215 .53563 Metetra .629 .5 .687 r .72215 .53563 .74643 .63117 .79171 .63244 .76555 .51808 Metetra .609 .472 .67 r .76555 .51808 .79171 .63244 .83682 .62004 .8099 .50495 Metetra .598 .465 .671 r .8099 .50495 .83682 .62004 .88123 .59379 .8554 .49629 Metetra .592 .477 .691 r .8554 .49629 .88123 .59379 .92469 .55652 .90217 .49125 Metetra .588 .525 .751 r .90217 .49125 .92469 .55652 .96743 .51328 .95021 .48822 Metetra 0 .096 .575 r .33183 .64088 .35573 .66174 .39383 .66072 .36877 .67139 Metetra .645 .157 .079 r .36877 .67139 .39383 .66072 .43276 .65764 .40748 .69447 Metetra .546 .15 .241 r .40748 .69447 .43276 .65764 .47251 .65078 .44791 .70249 Metetra .426 .068 .252 r .44791 .70249 .47251 .65078 .51297 .63914 .48963 .69084 Metetra .235 0 .159 r .48963 .69084 .51297 .63914 .554 .62266 .53195 .65924 Metetra .53195 .65924 .554 .62266 .59546 .60225 .57423 .61194 Metetra .89 .989 .75 r .57423 .61194 .59546 .60225 .63727 .57956 .61607 .55642 Metetra .862 .786 .775 r .61607 .55642 .63727 .57956 .67946 .55667 .65749 .50145 Metetra .754 .632 .725 r .65749 .50145 .67946 .55667 .72215 .53563 .69895 .45511 Metetra .677 .546 .698 r .69895 .45511 .72215 .53563 .76555 .51808 .74116 .42343 Metetra .616 .492 .688 r .74116 .42343 .76555 .51808 .8099 .50495 .785 .40967 Metetra .558 .456 .694 r .785 .40967 .8099 .50495 .8554 .49629 .83125 .41401 Metetra .492 .433 .719 r .83125 .41401 .8554 .49629 .90217 .49125 .88041 .43352 Metetra .387 .425 .779 r .88041 .43352 .90217 .49125 .95021 .48822 .93247 .4624 Metetra 0 .096 .575 r .30728 .61945 .33183 .64088 .36877 .67139 .34424 .64996 Metetra 0 .311 .772 r .34424 .64996 .36877 .67139 .40748 .69447 .38306 .67298 Metetra .312 .619 .958 r .38306 .67298 .40748 .69447 .44791 .70249 .42375 .68083 Metetra .647 .761 .932 r .42375 .68083 .44791 .70249 .48963 .69084 .46588 .66884 Metetra .786 .787 .853 r .46588 .66884 .48963 .69084 .53195 .65924 .50876 .63674 Metetra .841 .787 .8 r .50876 .63674 .53195 .65924 .57423 .61194 .5517 .58881 Metetra .862 .786 .775 r .5517 .58881 .57423 .61194 .61607 .55642 .59425 .53262 Metetra .862 .786 .775 r .59425 .53262 .61607 .55642 .65749 .50145 .63638 .47698 Metetra .84 .786 .799 r .63638 .47698 .65749 .50145 .69895 .45511 .67847 .43004 Metetra .784 .779 .848 r .67847 .43004 .69895 .45511 .74116 .42343 .72125 .39786 Metetra .663 .742 .909 r .72125 .39786 .74116 .42343 .785 .40967 .76556 .3837 Metetra .454 .645 .94 r .76556 .3837 .785 .40967 .83125 .41401 .81222 .38775 Metetra .219 .506 .907 r .81222 .38775 .83125 .41401 .88041 .43352 .86175 .40707 Metetra .078 .41 .861 r .86175 .40707 .88041 .43352 .93247 .4624 .9142 .43581 Metetra .515 .706 .958 r .28205 .59743 .30728 .61945 .34424 .64996 .32095 .59569 Metetra .586 .548 .778 r .32095 .59569 .34424 .64996 .38306 .67298 .36079 .59182 Metetra .598 .497 .711 r .36079 .59182 .38306 .67298 .42375 .68083 .40158 .58406 Metetra .609 .485 .687 r .40158 .58406 .42375 .68083 .46588 .66884 .44323 .57141 Metetra .623 .495 .685 r .44323 .57141 .46588 .66884 .50876 .63674 .48558 .55379 Metetra .645 .526 .704 r .48558 .55379 .50876 .63674 .5517 .58881 .52848 .53212 Metetra .681 .597 .755 r .52848 .53212 .5517 .58881 .59425 .53262 .5718 .50812 Metetra .739 .774 .882 r .5718 .50812 .59425 .53262 .63638 .47698 .61553 .48389 Metetra .43 .862 .75 r .61553 .48389 .63638 .47698 .67847 .43004 .65976 .46153 Metetra .223 0 0 r .65976 .46153 .67847 .43004 .72125 .39786 .70467 .44272 Metetra .373 0 .178 r .70467 .44272 .72125 .39786 .76556 .3837 .75051 .42839 Metetra .411 .024 .192 r .75051 .42839 .76556 .3837 .81222 .38775 .79749 .4186 Metetra .38 0 .066 r .79749 .4186 .81222 .38775 .86175 .40707 .84577 .41248 Metetra .057 0 0 r .84577 .41248 .86175 .40707 .9142 .43581 .89536 .40839 Metetra .817 .767 .806 r .25611 .57479 .28205 .59743 .32095 .59569 .29796 .53314 Metetra .712 .594 .722 r .29796 .53314 .32095 .59569 .36079 .59182 .33942 .49723 Metetra .648 .511 .682 r .33942 .49723 .36079 .59182 .40158 .58406 .38048 .47139 Metetra .602 .464 .666 r .38048 .47139 .40158 .58406 .44323 .57141 .42145 .45803 Metetra .563 .438 .668 r .42145 .45803 .44323 .57141 .48558 .55379 .46281 .45728 Metetra .521 .428 .691 r .46281 .45728 .48558 .55379 .52848 .53212 .50508 .46697 Metetra .453 .447 .761 r .50508 .46697 .52848 .53212 .5718 .50812 .54869 .4829 Metetra .172 .509 .912 r .54869 .4829 .5718 .50812 .61553 .48389 .59381 .49939 Metetra .472 0 0 r .59381 .49939 .61553 .48389 .65976 .46153 .64032 .51024 Metetra .477 .088 .222 r .64032 .51024 .65976 .46153 .70467 .44272 .68776 .51008 Metetra .428 .086 .28 r .68776 .51008 .70467 .44272 .75051 .42839 .73551 .49568 Metetra .345 .016 .255 r .73551 .49568 .75051 .42839 .79749 .4186 .78295 .46687 Metetra .152 0 .104 r .78295 .46687 .79749 .4186 .84577 .41248 .82975 .42659 Metetra .55 .855 .546 r .82975 .42659 .84577 .41248 .89536 .40839 .87594 .38012 Metetra .853 .76 .759 r .22944 .55152 .25611 .57479 .29796 .53314 .27324 .49183 Metetra .791 .682 .744 r .27324 .49183 .29796 .53314 .33942 .49723 .31592 .44184 Metetra .718 .614 .74 r .31592 .44184 .33942 .49723 .38048 .47139 .35748 .40814 Metetra .629 .549 .745 r .35748 .40814 .38048 .47139 .42145 .45803 .39837 .39426 Metetra .513 .482 .76 r .39837 .39426 .42145 .45803 .46281 .45728 .43935 .40041 Metetra .346 .407 .782 r .43935 .40041 .46281 .45728 .50508 .46697 .48128 .42342 Metetra .089 .313 .792 r .48128 .42342 .50508 .46697 .54869 .4829 .52489 .45693 Metetra 0 .199 .701 r .52489 .45693 .54869 .4829 .59381 .49939 .57054 .49201 Metetra .453 0 0 r .57054 .49201 .59381 .49939 .64032 .51024 .61809 .51851 Metetra .356 0 0 r .61809 .51851 .64032 .51024 .68776 .51008 .66687 .52725 Metetra .056 0 0 r .66687 .52725 .68776 .51008 .73551 .49568 .71585 .51258 Metetra .71585 .51258 .73551 .49568 .78295 .46687 .76397 .47419 Metetra .821 .986 .715 r .76397 .47419 .78295 .46687 .82975 .42659 .81064 .41729 Metetra .936 .937 .772 r .81064 .41729 .82975 .42659 .87594 .38012 .8559 .35095 Metetra .817 .767 .806 r .202 .52757 .22944 .55152 .27324 .49183 .24512 .48477 Metetra .84 .901 .881 r .24512 .48477 .27324 .49183 .31592 .44184 .28772 .44779 Metetra .668 .974 .881 r .28772 .44779 .31592 .44184 .35748 .40814 .32977 .42103 Metetra .32977 .42103 .35748 .40814 .39837 .39426 .37154 .40688 Metetra .233 0 0 r .37154 .40688 .39837 .39426 .43935 .40041 .41351 .40549 Metetra .356 0 0 r .41351 .40549 .43935 .40041 .48128 .42342 .45629 .41467 Metetra .236 0 0 r .45629 .41467 .48128 .42342 .52489 .45693 .50036 .43016 Metetra .172 .509 .912 r .50036 .43016 .52489 .45693 .57054 .49201 .54601 .44622 Metetra .433 .526 .853 r .54601 .44622 .57054 .49201 .61809 .51851 .5932 .45654 Metetra .551 .529 .784 r .5932 .45654 .61809 .51851 .66687 .52725 .64154 .45568 Metetra .622 .546 .748 r .64154 .45568 .66687 .52725 .71585 .51258 .69042 .44035 Metetra .677 .577 .736 r .69042 .44035 .71585 .51258 .76397 .47419 .7392 .41036 Metetra .728 .624 .742 r .7392 .41036 .76397 .47419 .81064 .41729 .78748 .36874 Metetra .783 .697 .769 r .78748 .36874 .81064 .41729 .8559 .35095 .83521 .32084 Metetra .515 .706 .958 r .17377 .50293 .202 .52757 .24512 .48477 .21375 .50002 Metetra .163 0 0 r .21375 .50002 .24512 .48477 .28772 .44779 .25481 .4949 Metetra .364 0 .125 r .25481 .4949 .28772 .44779 .32977 .42103 .29704 .48574 Metetra .377 .012 .212 r .29704 .48574 .32977 .42103 .37154 .40688 .34036 .47151 Metetra .337 0 .192 r .34036 .47151 .37154 .40688 .41351 .40549 .3846 .45214 Metetra .201 0 .033 r .3846 .45214 .41351 .40549 .45629 .41467 .42957 .42858 Metetra .386 .817 .652 r .42957 .42858 .45629 .41467 .50036 .43016 .47508 .40258 Metetra .739 .774 .882 r .47508 .40258 .50036 .43016 .54601 .44622 .52104 .37632 Metetra .66 .567 .74 r .52104 .37632 .54601 .44622 .5932 .45654 .56749 .35195 Metetra .617 .488 .683 r .56749 .35195 .5932 .45654 .64154 .45568 .61458 .33119 Metetra .593 .455 .663 r .61458 .33119 .64154 .45568 .69042 .44035 .66255 .315 Metetra .58 .446 .664 r .66255 .315 .69042 .44035 .7392 .41036 .71164 .30342 Metetra .573 .461 .688 r .71164 .30342 .7392 .41036 .78748 .36874 .76204 .29557 Metetra .572 .517 .755 r .76204 .29557 .78748 .36874 .83521 .32084 .81384 .28975 Metetra 0 .096 .575 r .1447 .47755 .17377 .50293 .21375 .50002 .1815 .50776 Metetra .595 .064 0 r .1815 .50776 .21375 .50002 .25481 .4949 .22075 .53015 Metetra .476 .028 .105 r .22075 .53015 .25481 .4949 .29704 .48574 .26287 .53665 Metetra .31 0 .093 r .26287 .53665 .29704 .48574 .34036 .47151 .30761 .52229 Metetra .036 0 0 r .30761 .52229 .34036 .47151 .3846 .45214 .3542 .48681 Metetra .3542 .48681 .3846 .45214 .42957 .42858 .40162 .43476 Metetra .91 .976 .787 r .40162 .43476 .42957 .42858 .47508 .40258 .449 .37412 Metetra .862 .786 .775 r .449 .37412 .47508 .40258 .52104 .37632 .49586 .31414 Metetra .758 .636 .726 r .49586 .31414 .52104 .37632 .56749 .35195 .54226 .26326 Metetra .673 .542 .696 r .54226 .26326 .56749 .35195 .61458 .33119 .58872 .22769 Metetra .602 .479 .685 r .58872 .22769 .61458 .33119 .66255 .315 .63609 .21075 Metetra .533 .435 .69 r .63609 .21075 .66255 .315 .71164 .30342 .68527 .2126 Metetra .456 .408 .716 r .68527 .2126 .71164 .30342 .76204 .29557 .73705 .23022 Metetra .342 .401 .778 r .73705 .23022 .76204 .29557 .81384 .28975 .79176 .25762 Metetra 0 .096 .575 r .11475 .45142 .1447 .47755 .1815 .50776 .15146 .48151 Metetra 0 .311 .772 r .15146 .48151 .1815 .50776 .22075 .53015 .19074 .50374 Metetra .312 .619 .958 r .19074 .50374 .22075 .53015 .26287 .53665 .23308 .50995 Metetra .647 .761 .932 r .23308 .50995 .26287 .53665 .30761 .52229 .27828 .49513 Metetra .786 .787 .853 r .27828 .49513 .30761 .52229 .3542 .48681 .32555 .45901 Metetra .841 .787 .8 r .32555 .45901 .3542 .48681 .40162 .43476 .37381 .4062 Metetra .862 .786 .775 r .37381 .4062 .40162 .43476 .449 .37412 .42209 .34476 Metetra .862 .786 .775 r .42209 .34476 .449 .37412 .49586 .31414 .46984 .284 Metetra .84 .786 .799 r .46984 .284 .49586 .31414 .54226 .26326 .51704 .23239 Metetra .784 .779 .848 r .51704 .23239 .54226 .26326 .58872 .22769 .56419 .19619 Metetra .663 .742 .909 r .56419 .19619 .58872 .22769 .63609 .21075 .6121 .1787 Metetra .454 .645 .94 r .6121 .1787 .63609 .21075 .68527 .2126 .66171 .18009 Metetra .219 .506 .907 r .66171 .18009 .68527 .2126 .73705 .23022 .71385 .19733 Metetra .078 .41 .861 r .71385 .19733 .73705 .23022 .79176 .25762 .76894 .22439 Metetra .515 .706 .958 r .08389 .42449 .11475 .45142 .15146 .48151 .12467 .42053 Metetra .57 .543 .785 r .12467 .42053 .15146 .48151 .19074 .50374 .16666 .41427 Metetra .58 .484 .71 r .16666 .41427 .19074 .50374 .23308 .50995 .20999 .40387 Metetra .592 .47 .682 r .20999 .40387 .23308 .50995 .27828 .49513 .25462 .38826 Metetra .61 .482 .681 r .25462 .38826 .27828 .49513 .32555 .45901 .30038 .36736 Metetra .636 .519 .703 r .30038 .36736 .32555 .45901 .37381 .4062 .34703 .34216 Metetra .678 .599 .76 r .34703 .34216 .37381 .4062 .42209 .34476 .39431 .31445 Metetra .739 .774 .882 r .39431 .31445 .42209 .34476 .46984 .284 .44209 .28645 Metetra .59 .947 .881 r .44209 .28645 .46984 .284 .51704 .23239 .49035 .26035 Metetra .49035 .26035 .51704 .23239 .56419 .19619 .53921 .23789 Metetra .219 0 0 r .53921 .23789 .56419 .19619 .6121 .1787 .58889 .22005 Metetra .273 0 0 r .58889 .22005 .6121 .1787 .66171 .18009 .63967 .20687 Metetra .217 0 0 r .63967 .20687 .66171 .18009 .71385 .19733 .69177 .19743 Metetra .159 .7 .775 r .69177 .19743 .71385 .19733 .76894 .22439 .74532 .19002 Metetra .817 .767 .806 r .05208 .39672 .08389 .42449 .12467 .42053 .0987 .35076 Metetra .713 .596 .723 r .0987 .35076 .12467 .42053 .16666 .41427 .1445 .31083 Metetra .639 .501 .678 r .1445 .31083 .16666 .41427 .20999 .40387 .18922 .28141 Metetra .583 .444 .658 r .18922 .28141 .20999 .40387 .25462 .38826 .23306 .26497 Metetra .534 .411 .658 r .23306 .26497 .25462 .38826 .30038 .36736 .27657 .26163 Metetra .484 .399 .684 r .27657 .26163 .30038 .36736 .34703 .34216 .32051 .26914 Metetra .41 .422 .762 r .32051 .26914 .34703 .34216 .39431 .31445 .36562 .28314 Metetra .172 .509 .912 r .36562 .28314 .39431 .31445 .44209 .28645 .41248 .29768 Metetra .339 0 0 r .41248 .29768 .44209 .28645 .49035 .26035 .46134 .30626 Metetra .37 0 .051 r .46134 .30626 .49035 .26035 .53921 .23789 .512 .30321 Metetra .309 0 .122 r .512 .30321 .53921 .23789 .58889 .22005 .56392 .28509 Metetra .19 0 .076 r .56392 .28509 .58889 .22005 .63967 .20687 .61639 .25174 Metetra .61639 .25174 .63967 .20687 .69177 .19743 .6688 .20633 Metetra .723 .969 .719 r .6688 .20633 .69177 .19743 .74532 .19002 .72088 .15445 Metetra .853 .76 .759 r .01926 .36808 .05208 .39672 .0987 .35076 .06932 .30315 Metetra .794 .687 .746 r .06932 .30315 .0987 .35076 .1445 .31083 .11745 .24845 Metetra .719 .617 .743 r .11745 .24845 .1445 .31083 .18922 .28141 .16322 .21077 Metetra .619 .545 .749 r .16322 .21077 .18922 .28141 .23306 .26497 .20695 .19369 Metetra .482 .466 .763 r .20695 .19369 .23306 .26497 .27657 .26163 .24952 .19738 Metetra .286 .374 .779 r .24952 .19738 .27657 .26163 .32051 .26914 .2921 .21859 Metetra .017 .273 .772 r .2921 .21859 .32051 .26914 .36562 .28314 .33597 .25079 Metetra 0 .199 .701 r .33597 .25079 .36562 .28314 .41248 .29768 .38214 .28467 Metetra .354 0 0 r .38214 .28467 .41248 .29768 .46134 .30626 .43112 .30957 Metetra .188 0 0 r .43112 .30957 .46134 .30626 .512 .30321 .48273 .31573 Metetra .48273 .31573 .512 .30321 .56392 .28509 .53609 .29714 Metetra .621 .94 .727 r .53609 .29714 .56392 .28509 .61639 .25174 .58998 .25349 Metetra .874 .994 .78 r .58998 .25349 .61639 .25174 .6688 .20633 .64331 .19043 Metetra .932 .921 .779 r .64331 .19043 .6688 .20633 .72088 .15445 .69556 .11761 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 .14416 .21324 m .14879 .21789 L s [(-2)] .13491 .20394 .99496 1 Mshowa .34306 .13535 m .34735 .14032 L s [(0)] .3345 .12542 .86223 1 Mshowa .55805 .05117 m .56192 .05647 L s [(2)] .55031 .04057 .7295 1 Mshowa .125 Mabswid .19248 .19432 m .19521 .19716 L s .24172 .17504 m .2444 .17792 L s .2919 .15539 m .29453 .15832 L s .39523 .11493 m .39774 .11796 L s .44843 .0941 m .45088 .09718 L s .50269 .07285 m .50508 .07598 L s .09674 .23181 m .09956 .23455 L s .05019 .25004 m .05305 .25274 L s .61454 .02905 m .61679 .03228 L s .67219 .00648 m .67437 .00976 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", GeneratedCell->False, CellAutoOverwrite->False, ImageSize->{288, 233.562}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`030000003oool0 oooo00l0oooo00<000000?ooo`3oool0?P3oool006T0oooo0P00000=0?ooo`<00000D@3oool30000 0140oooo00<000000?ooo`3oool0?@3oool007H0oooo0P00001D0?ooo`<000004P3oool00`000000 oooo0?ooo`0l0?ooo`00L`3oool3000005D0oooo00D0000000?ooo`030000003oool0oooo03/0oooo001/0?ooo`800000 0P3oool00`000000oooo0?ooo`1F0?ooo`0500000037jnh0an_^0@3oool006@0oooo0P00001Q 0?ooo`0300000037jnh0an_^00<0an_^00<0000000030000000004D0001500L00015 00<0000000030000000004D0001500L0001500<0000000?ooo`8000000P3oool3000000030;n;WP000000`gMk00@0`gMk1`00001A0?ooo`03 0000000003P0000h00P0000h00<000000000A@0004D01P0004D00`000000aokO0R1 >03XPCP00P3XPCP3000000H0a[R1>0030>R1>0040000003LJ1<00000 000000D0a[`3oool20000 0080oooo0P00000;0;n;WP0300000033Mg/0`gMk00P0`gMk00<0000000030000000004D0001500@000150P0000090R1>0030>R1>0040000003LJ1<0g6PC0=aX4`8000001036 /bP00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo02d0oooo000h0?ooo`<000000`3oool2 000000d0_h^N00<000000<=gN`33Mg/02033Mg/00`000000aem90R1 >0030>R1>0030000003LJ1<0g6PC0080g6PC0P00000300@000000`0C03000`000000aokO0P3oool7000000H0000h100000000`0O04l0000001<0<00501<0 <00300000037o]l0aokO00D0aokO00<000000;1_R02`KhP0202`KhP01@000000]fQd0;MXM02gJ7@0 000000<0]fQd1@0000080=aX4`800000403oool00`000000oooo0?ooo`040?ooo`040000003oool0 oooo000002<0oooo000^0?ooo`<00000203oool00`000000_Yfh0;jM^0050;jM^0030000002oRih0 _h^N00X0_h^N00<000000<=gN`33Mg/02033Mg/00`000000aem900<00000100O04l00`0000004`0`01<0<00401<0<00300000037o]l0 aokO00D0aokO00<000000;1_R02`KhP02@2`KhP01@000000]fQd0;MXM02gJ7@0000000L0]fQd0P00 00090=aX4`030000003oool0oooo00h0oooo00<000000?ooo`3oool00`3oool010000000oooo0?oo o`00000S0?ooo`00;03oool2000000X0oooo00<000000;jM^02nWKP01P2nWKP00`000000_h^N0;n; WP0;0;n;WP0300000033Mg/0`gMk00P0`gMk00<0000000?ooo`030000003oool0oooo00<0oooo00@000000?ooo`3oool000008`3oool002T0oooo 0`0000020?ooo`030000003oool0oooo00D0oooo0P00000:0;jM^0030000002oRih0_h^N00X0_h^N 00<000000<=gN`33Mg/02033Mg/00`000000aem900?ooo`80 0000903oool000l0oooo100000040?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0 0`3oool00`000000oooo0?ooo`080?ooo`030000002n[l/0_Zo;00H0_Zo;00<000000;jM^02nWKP0 302nWKP00`000000_h^N0;n;WP030;n;WP<00000102XLID00`000000Z6V80:QYR0090:QYR0030000 002_IW/0[fIk00P0[fIk00<000000<=/J033K6P0100000030V2;03YPR`0 100000070?ooo`<000002P0005H00`0000003@1N00d0GP0900d0GP030000000O04l07`1?00@07`1? 100000030;::[0<000001P2bRZ`00`000000[gZJ0:mjVP0:0:mjVP030000002`KhP0/6n800/0/6n8 00<000000;MXM02gJ7@01@2gJ7@00`000000]fQd0;MXM0030;MXM00300000037IUL0afIG00T0afIG 1000000?0?ooo`030000003oool0oooo0200oooo000K0?ooo`030000003oool0oooo00X0oooo0P00 000>0;j_b`030000002nWKP0_Yfh00H0_Yfh0P0000030:f0X`030000002XLID0Z76E00X0Z76E00<0 00000:QYR02XJHP02@2XJHP00`000000[fIk0:mVN`090:mVN`0300000033K6P0`faX00X0`faX00@0 00000>V2;03YPR`0jH8/100000030?ooo`800000300005H00`0000003@1N00d0GP0900d0GP030000 000O04l07`1?00<07`1?100000020;::[0<000002@2bRZ`00`000000[gZJ0:mjVP0;0:mjVP030000 002`KhP0/6n800X0/6n800<000000;MXM02gJ7@01P2gJ7@00`000000]fQd0;MXM0030;MXM0040000 0037IUL0afIG0V2;0020>V2;0H000003@0005H00`0000003@1N00d0GP0900d0GP040000000O04l07`1?01l0C`@0 000000@0^J;20000000000000000302bRZ`00`000000[gZJ0:mjVP0;0:mjVP030000002`KhP0/6n8 00X0/6n800<000000;MXM02gJ7@01P2gJ7@00`000000]fQd0;MXM007000000/0`HBB00<000000?oo o`3oool03P3oool00`000000oooo0?ooo`0N0?ooo`006`3oool2000000X0oooo00<000000;j_b`2n [l/03`2n[l/00`000000_Yfh0;jM^0020;jM^08000001`2]P:<00`000000Z76E0:QaU@090:QaU@03 0000002XJHP0Z6V800X0Z6V800<000000:mVN`2_IW/02@2_IW/00`000000`faX0<=/J00:0<=/J003 0000003YPR`0jH8/00@0jH8/0P0000020000FPD000001`0005H00`0000003@1N00d0GP0900d0GP03 0000000O04l0000000<0000000H0^J;200000000000000000;VR`P00000=0;::[0030000002_NYX0 [gZJ00/0[gZJ00<000000;1_R02`KhP02`2`KhP010000000]fQd0;MXM02gJ7@7000000<0/7JB00<0 00000<64TP31Q9803@31Q9800`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01h0oooo000K 0?ooo`030000003oool0oooo00P0oooo00<000000;j_b`2n[l/0402n[l/01@000000_Yfh0;jM^02n WKP0000000T0[H2S00<000000:QaU@2XLID02P2XLID00`000000Z6V80:QYR0090:QYR0030000002_ IW/0[fIk00T0[fIk00<000000<=/J033K6P02`33K6P00`000000jH8/0>V2;0040>V2;0<000001@00 05X4000000<0001F00<0000000d0GP0=05h00`0=05h9000000040;VR`P0000000000000000@0^J;2 00<000000;::[02bRZ`02`2bRZ`00`000000[gZJ0:mjVP0;0:mjVP030000002`KhP0/6n800T0/6n8 1P0000060;1fTP030000002`MY80/7JB0080/7JB00<000000<64TP31Q9803031Q9800`000000oooo 0?ooo`0=0?ooo`8000007`3oool001/0oooo00<000000?ooo`3oool01`3oool00`000000`/;J0000 000B0;j_b`<000002P2]P:<00`000000Z76E0:QaU@0:0:QaU@030000002XJHP0Z6V800T0Z6V800<0 00000:mVN`2_IW/02P2_IW/00`000000`faX0<=/J00;0<=/J0030000003YPR`0jH8/0080jH8/00@0 00000>76_@3Qa[d0hLJm0P0000050000FP/000000P00030400000080^J;20P0000080;VR`P030000 002bRZ`0/XZ/00/0/XZ/00<000000:mjVP2_NYX02`2_NYX00`000000/6n80;1_R0040;1_R0@00000 0P2YLY@00`000000/7JB0;1fTP070;1fTP030000002`MY80/7JB0080/7JB00<000000<64TP31Q980 3@31Q9800`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01d0oooo000K0?ooo`8000001`3o ool010000000`/;J0<;2fP00000B0;j_b`030000002]P:<0[H2S00X0[H2S00<000000:QaU@2XLID0 2P2XLID00`000000Z6V80:QYR0090:QYR0030000002_IW/0[fIk00X0[fIk00<000000<=/J033K6P0 3033K6P010000000jH8/0000000000060>76_@P0000020000304000000040;VR`P00000000000000 00X0^J;200<000000;::[02bRZ`02`2bRZ`00`000000[gZJ0:mjVP0;0:mjVP030000002`KhP0/6n8 00@000001`2YLY@00`000000/7JB0;1fTP070;1fTP050000002`MY80/7JB0;1fTP0000003`31Q980 0`000000oooo0?ooo`0>0?ooo`030000003oool0oooo01`0oooo00080?ooo`800000103oool00`00 0000oooo0?ooo`020?ooo`<00000103oool00`000000oooo0?ooo`070?ooo`0500000032`]X0`/;J 0<;2fP000000402n[l/2000000`0[H2S00<000000:QaU@2XLID02P2XLID00`000000Z6V80:QYR00: 0:QYR0030000002_IW/0[fIk00T0[fIk00<000000<=/J033K6P03@33K6P00`000000hLJm0>76_@0; 0>76_@0300000036bM`0a/WL00P000000P36bM`3000000d0^J;200<000000;::[02bRZ`02`2bRZ`0 0`000000[gZJ0:mjVP0:0:mjVP@000002`2YLY@00`000000/7JB0;1fTP080;1fTP050000002`MY80 /7JB0;1fTP0000003`31Q9800`000000oooo0?ooo`0>0?ooo`030000003oool0oooo01/0oooo0007 0?ooo`040000003oool0oooo000000/0oooo00D000000?ooo`3oool0oooo000000080?ooo`030000 0032`]X0`/;J0080`/;J00<000000;j_b`2n[l/03@2n[l/00`000000^IRf0000000=0:f0X`030000 002XLID0Z76E00T0Z76E00<000000:QYR02XJHP02P2XJHP00`000000[fIk0:mVN`0:0:mVN`030000 0033K6P0`faX00X0`faX0P0000000`32VJd000000>76_@0:0>76_@0300000036bM`0a/WL00P0a/WL 1000000?0;VR`P030000002bRZ`0/XZ/00/0/XZ/00<000000:mjVP2_NYX01`2_NYX3000000030:Ud U`000000ZG:D00`0ZG:D00<000000;1fTP2`MY802@2`MY8010000000/7JB0;1fTP00000?0<64TP03 0000003oool0oooo00h0oooo00<000000?ooo`3oool06`3oool000L0oooo00@000000?ooo`3oool0 00002`3oool010000000oooo0?ooo`3oool2000000H0oooo00<000000<;2fP32`]X01032`]X00`00 0000_Zo;0;j_b`0;0;j_b`050000002iV;H0^IRf0;VH]P000000302]P:<00`000000Z76E0:QaU@09 0:QaU@030000002XJHP0Z6V800X0Z6V800<000000:mVN`2_IW/02P2_IW/00`000000`faX0<=/J008 0<=/J08000001032VJd00`000000hLJm0>76_@070>76_@0300000036bM`0a/WL00H0a/WL0`000000 1@36bM`00000076_@3Qa[d01@3Qa[d00`000000a/WL00<64TP0300000034//P000000100oooo00<000000?ooo`3oool06@3oool000L0 oooo00@000000?ooo`3oool00000203oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo 00<0oooo00<000000<;2fP32`]X01`32`]X00`000000_Zo;0;j_b`070;j_b`8000001@2iV;H00`00 0000[H2S0:f0X`0:0:f0X`030000002XLID0Z76E00X0Z76E00<000000:QYR02XJHP02P2XJHP00`00 0000[fIk0:mVN`0:0:mVN`0300000033K6P0`faX00<0`faX0P00000:0<:I[@030000003Qa[d0hLJm 00<0hLJm00<00000076_@3Qa[d0hLJm 1000000904XP0300000032 VJd0`YV]00L0`YV]0`0000040<:I[@0500000036bM`0a/WL0a=40c/CA000000d0^IRf 00<000000:f0X`2]P:<02@2]P:<00`000000Z76E0:QaU@0:0:QaU@030000002XJHP0Z6V800/0Z6V8 00<000000:mVN`2_IW/00P0000090;>4XP0400000032VJd0`YV]0<:I[@<000002032VJd00`000000 a/WL0a=40000000d0^IRf00<000000:f0X`2]P:<02@2]P:<00`000000 Z76E0:QaU@0:0:QaU@030000002XJHP0Z6V800/0Z6V80`00000;0;>4XP@000002P32VJd00`000000 a/WL0a=40c/CA00<0c/CA00<000000;VH]P2iV;H02P2iV;H00`000000[H2S0:f0X`090:f0X`03 0000002XLID0Z76E00X0Z76E00<000000:QYR02XJHP02P2XJHP2000000/0/hBR1000000;0<:I[@03 00000036bM`0a/WL00L0a/WL00D0000004XP070;>4XP<000000`2cQ:800`000000`YV]0<:I[@080<:I[@0300000036bM`0a/WL 00T0a/WL00<0000004 XP2cQ:800P2cQ:83000000L0/hBR00<000000<:I[@32VJd01`32VJd00`000000a/WL0a=40c/CA00P0c/CA00<0 00000;VH]P2iV;H02P2iV;H00`000000[H2S0:f0X`090:f0X`030000002XLID0Z76E00X0Z76E00<0 00000:QYR02XJHP00`2XJHP2000000H0[W^L00<000000;>4XP2cQ:800P00000:0;>4XP0300000032 VJd0`YV]00H0`YV]00<000000a=40c/CA00T0c/CA00<000000;VH]P2iV;H02P2iV;H00`000000[H2S 0:f0X`090:f0X`030000002XLID0Z76E00X0Z76E00@000000:QYR02XJHP0Z6V80P0000080:ikW0<0 00003@2cQ:800`000000`YV]0<:I[@040<:I[@0300000036bM`0a/WL00/0a/WL00@0000004XP0300000032VJd0`YV]00<0`YV]00<00000076_@030000002mTJP0_I6X00X0_I6X00<00000 0:ilW@2^O9d02`2^O9d00`000000ZGBG0:UdU`0:0:UdU`030000002YLY@0ZG:D00`0ZG:D00<00000 0;1fTP2`MY801P2`MY800`000000_Inj0;fO^P050;fO^P0400000034//P0a;;8000000H0a;;800<0 00000a=400`000000^IRf0;VH]P0:0;VH]P030000002]P:<0[H2S00P0 [H2S00<000000:QaU@2XLID02@2XLID3000000H0[W^L0`0000040:ikW0030000002cQ:80/hBR00`0 /hBR00<000000<:I[@32VJd00P32VJd00`000000a/WL04XP0=0;>4XP0400000032VJd0`YV]000000d0a/WL00<000000a=40c/CA00l0c/CA00<000000;VH]P2iV;H02@2iV;H00`000000[H2S0:f0X`090:f0 X`030000002XLID0Z76E0080Z76E0`0000050:ihU`@000002P2^Ni`00`000000/hBR0;>4XP0=0;>4 XP0400000032VJd0`YV]000000d0a/WL00<00000076_@030000002mTJP0_I6X00X0_I6X00<000000:ilW@2^O9d02P2^O9d00`000000ZGBG0:Ud U`0;0:UdU`030000002YLY@0ZG:D00`0ZG:D00@000000;1fTP2`MY80/7JB0P00000<0;fO^P040000 0034//P0a;;800000080a;;800<000000a=403P3>a=400`000000^IRf0;VH]P090;VH]P030000002]P:<0[H2S00T0 [H2S00<000000:QaU@0000000P0000060:ihU`<000003@2^Ni`00`000000/hBR0;>4XP0>0;>4XP80 00003@36bM`00`000000bOWX00;fO^P0400000034//P0a;;804XP0=0;>4XP0300000036bM`0a/WL00/0a/WL00<000000a=40c/CA00`0 c/CA00<000000;VH]P2iV;H02@2iV;H00`000000[H2S0:f0X`030:f0X`@0000000<0]G^D0000002^ N9L0102^N9L3000000@0[WRG00<000000:ikW02^Ni`0302^Ni`00`000000/hBR0;>4XP0<0;>4XP03 000000376_@3Q a[d02`3Qa[d00`000000_I6X0;fAZ00:0;fAZ0030000002^O9d0[WbM00X0[WbM00<000000:UdU`2Y M9L02`2YM9L00`000000ZG:D0:UbU00<0:UbU0030000002mWkX0_Inj00l0_Inj00D0000000?ooo`030000003oool0oooo 00/0oooo000F0?ooo`8000003P3oool00`000000c/CA04XP2cQ:802P2cQ:800`000000c76_@3Q a[d02@3Qa[d00`000000_I6X0;fAZ00:0;fAZ0030000002^O9d0[WbM00X0[WbM00<000000:UdU`2Y M9L02`2YM9L00`000000ZG:D0:UbU0090:UbU0050000002lTjd0_9>]0;bC[@0000004@2mWkX00`00 0000aNo_076_@0:0>76_@030000002mTJP0_I6X 00X0_I6X00<000000:ilW@2^O9d02P2^O9d00`000000ZGBG0:UdU`0;0:UdU`030000002YLY@0ZG:D 00H0ZG:D0P0000040;bC[@030000002mWkX0_Inj00h0_Inj00@000000;OldP00000000000P35knl0 10000000aNo_0000002hKWd2000000D0j84h00@000000=aX4`3LJ1<0g6PC0P00000300003P030000 003oool0oooo00`0oooo0P00000:0?ooo`005P3oool300000140oooo1P0000050?FdP`0300000038 Ri40b8^A00T0b8^A00@000000;EkU02eNi@0]G^D0`0000040;EkU0030000002^N9L0[WRG00X0[WRG 00<000000:ikW02^Ni`0302^Ni`00`000000/hBR0;>4XP070;>4XP03000000376_@3Qa[d02@3Qa[d00`000000_I6X0;fAZ00:0;fAZ0030000 002^O9d0[WbM00X0[WbM00<000000:UdU`2YM9L02`2YM9L00`000000ZG:D0:UbU0050:UbU0030000 002lTjd0_9>]00@0_9>]00<000000;fO^P2mWkX03@2mWkX00`000000]ocB0;OldP020;OldP800000 00<0aNo_0000002hKWd00`2hKWd3000000<0j84h00<000000=aX4`3LJ1<00P3LJ1<200000080000> 00<000000?ooo`3oool02`3oool2000000X0oooo000F0?ooo`030000003oool0oooo0180oooo00<0 00000?FdP`3e]8<0203e]8<00`000000b8^A04XP2cQ:801P2cQ:800`000000c]0;bC[@060;bC[@030000 002mWkX0_Inj00`0_Inj00<000000;OldP2go=80102go=83000000H0^6im0P0000020>R1>0030000 003LJ1<0g6PC00<0g6PC0P0000000`0000h000000?ooo`0<0?ooo`030000003oool0oooo00P0oooo 00030?ooo`800000103oool00`000000oooo0?ooo`020?ooo`<000001@3oool00`000000oooo0?oo o`0C0?ooo`030000003e]8<0mKB300L0mKB300<000000]00<0 00000;fO^P2mWkX02`2mWkX00`000000]ocB0;OldP040;OldP030000002aM8h0/GB>008000001`2h KWd3000000L0g6PC0P00000=0?ooo`8000002@3oool00080oooo00@000000?ooo`3oool000002`3o ool01@000000oooo0?ooo`3oool0000001L0oooo0P0000080?FdP`0300000038Ri40b8^A00<0b8^A 0`0000000`38Ri4000000;EkU00:0;EkU0030000002^N9L0[WRG00X0[WRG00<000000:ikW02^Ni`0 302^Ni`00`000000/hBR0;>4XP040;>4XP03000000376_@030000002mTJP0_I6X00X0 _I6X00<000000:ilW@2^O9d02P2^O9d00`000000ZGBG0:UdU`0;0:UdU`040000002YLY@0ZG:D0000 00/0_9>]00<000000;fO^P2mWkX02P2mWkX00`000000]ocB0;OldP040;OldP040000002aM8h0/GB> 0;5dSP8000002@2hKWd2000000P0g6PC00<000000?ooo`3oool01P3oool4000000030?ooo`000000 oooo00P0oooo00020?ooo`040000003oool0oooo000000/0oooo00@000000?ooo`3oool0oooo0P00 000H0?ooo`030000003e]8<0mKB300D0mKB300<00000076_@030000002mTJP0_I6X00X0_I6X00<0 00000:ilW@2^O9d02P2^O9d00`000000ZGBG0:UdU`0;0:UdU`<000003@2lTjd00`000000_Inj0;fO ^P080;fO^P030000002go=80]ocB00<0]ocB0P0000040;5dSP030000002hKWd0000000T0^6im0`00 00070=aX4`030000003oool0oooo0080oooo0`0000050?ooo`030000003oool0oooo00L0oooo0002 0?ooo`040000003oool0oooo000000P0oooo0`0000040?ooo`030000003oool0oooo01P0oooo00<0 00000?FdP`3e]8<0103e]8<3000000P0b8^A00<000000;EkU02eNi@02@2eNi@00`000000[WRG0:ih U`0:0:ihU`030000002^Ni`0[W^L00/0[W^L00<000000;>4XP2cQ:800P2cQ:800`000000cV2;0<0000000<0hLJm0000002mTJP02P2mTJP00`000000[WbM 0:ilW@0:0:ilW@030000002YM9L0ZGBG00X0ZGBG0P00000?0;bC[@030000002mWkX0_Inj00L0_Inj 00<000000;OldP2go=800`2go=800`000000/GB>0;5dSP050;5dSP030000002hKWd0000000T0^6im 00@0000004XP0000003P3V2;0@000002@2mTJP00`00 0000[WbM0:ilW@0:0:ilW@030000002YM9L0ZGBG00L0ZGBG0`0000000`2oRil000000;bC[@0>0;bC [@030000002mWkX0_Inj00L0_Inj00<000000;OldP2go=800P2go=800`000000/GB>0;5dSP060;5d SP040000002hKWd0^6im000000P0^6im00@00000000V2;03YPR`0103YPR`00`000000fXI^0=Z6KP030=Z6KP@000000P2mTJP00`000000[WbM0:il W@0:0:ilW@030000002YM9L00000008000002@2oRil00`000000_9>]0;bC[@0=0;bC[@030000002m WkX0_Inj00@0_Inj00<000000;OldP2go=800P2go=800`000000/GB>0;5dSP090;5dSP040000002h KWd0^6im000000P0^6im00<000000000000P0b6QH00<000000V2 ;0040>V2;0030000003JQVh0fXI^00H0fXI^4@00000<0;n;W`030000002lTjd0_9>]00d0_9>]00<0 00000;fO^P2mWkX00`2mWkX010000000]ocB0;OldP2go=83000000/0/GB>00D000000;Q^O@2hKWd0 ^6im000000070;Q^O@0300000037K6<0afaS00H0afaS0P00000;0?ooo`030000003oool0oooo00H0 oooo000D0?ooo`8000004`3oool3000000T0oooo00<000000?FdP`3e]8<00P3e]8<00`000000b8^A 0V2;0030000003JQVh0fXI^00P0fXI^00<000000]00d0_9>]00D000000;fO^P2mWkX0_Inj000000030;OldP04 0000002`OId0/7fM000000/0/GB>00<000000;Q^O@2hKWd00P2hKWd00`000000^6im0;Q^O@040;Q^ O@0300000037K6<0afaS00P0afaS00<000000?ooo`3oool0203oool00`000000oooo0?ooo`060?oo o`00503oool00`000000oooo0?ooo`0?0?ooo`<000003@3oool200000080mKB300<000000]0;bC[@0=0;bC[@040000002mWkX0_Inj0000 00<0]ocB00D000000;1mW@2`OId0/7fM0000000;0;5dSP030000002hKWd0^6im0080^6im00<00000 0;Q^O@2hKWd01@2hKWd00`000000afaS0V2;0030000003JQVh0fXI^00L0fXI^00<000000]00`0_9>]00D000000;fO^P2mWkX000000;Ol dP02000000@0/7fM00<000000;5dSP2aM8h02P2aM8h00`000000^6im0;Q^O@020;Q^O@030000002h KWd0^6im00@0^6im00<000000]0;bC[@0=0;bC[@D000001P2` OId00`000000/GB>0;5dSP090;5dSP030000002hKWd0^6im00<0^6im00<000000;Q^O@2hKWd00`2h KWd00`000000afaS0V2;0030000003JQVh0fXI^00L0fXI^00<000000]00d0_9>]0`0000080;1mW@030000 002aM8h0/GB>00T0/GB>00<000000;Q^O@2hKWd0102hKWd00`000000^6im0;Q^O@030;Q^O@030000 0037K6<0afaS00T0afaS00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`050?ooo`004`3o ool00`000000oooo0?ooo`050?ooo`8000007P3oool2000000L0b8^A00<000000;EkU02eNi@02@2e Ni@00`000000[WRG0:ihU`0:0:ihU`030000002^Ni`0[W^L00<0[W^L00<000000=[9b@3JbLT02P3J bLT01`000000c]0;bC[@0;0;bC[@8000002P2`OId00`000000/GB>0;5dSP0:0;5dSP03 0000002hKWd0^6im00<0^6im00<000000;Q^O@2hKWd00`2hKWd00`000000afaS0]00T0_9>]0P00000<0;1mW@030000002aM8h0/GB> 00X0/GB>00<000000;Q^O@2hKWd0102hKWd00`000000^6im0;Q^O@020;Q^O@0300000037K6<0afaS 00X0afaS00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`050?ooo`004`3oool00`000000 oooo00000002000002D0oooo0`0000050V2;03YPR`00P0000080=Z6KP03 00000038Qhd0b8N=00X0b8N=00<000000;n;W`2oRil0302oRil00`000000_9>]0;bC[@060;bC[@05 0000002bRjd0/X^]0;:;[@000000302`OId00`000000/GB>0;5dSP0:0;5dSP030000002hKWd0^6im 00<0^6im3@0000070<26UP030000003oool0oooo00<0oooo00<000000?ooo`3oool01@3oool000d0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0X0?ooo`80000000D0aDl000000000 0000b8^A0000000;0;EkU0030000002^N9L0[WRG00T0[WRG0P00000@0=[9b@8000002@2^PZD00`00 0000ZWJJ0:YfVP090:YfVP030000002[L900Zg2@00P0Zg2@00<000000;1]Q@2`KHD0202`KHD00`00 0000`W9c0<9bL`0:0<9bL`040000003YPR`0jH8/0>V2;08000001`3JQVh00`000000b8N=0k2Y@030000003JbLT0f/W900/0f/W90P00000; 0:j2Y@030000002ZMYX0ZWJJ00T0ZWJJ00<000000:]`T02[L9002@2[L9000`000000/6f50;1]Q@08 0;1]Q@0300000032LW<0`W9c00T0`W9c00<000000>V2;03YPR`00`3YPR`2000000D0fXI^00<00000 0]00<0_9>]00<00000 0;:;[@2bRjd0102bRjd00`000000/7fM0;1mW@090;1mW@030000002aM8h0/GB>00@0/GB>10000002 0:]gV@030000002`NYL0/7ZG00H0/7ZG00D000000;1jU`2`NYL0/7ZG0000000=0<26UP030000003o ool0oooo00<0oooo00<000000?ooo`3oool0103oool000d0oooo00<000000?ooo`3oool01`3oool0 0`000000oooo0?ooo`0X0?ooo`0400000035C`00aDl00]0;bC[@2lTjd2000000L0/X^]00<000000;1mW@2`OId0 2P2`OId00`000000/GB>00000003000000L0ZgNI00<000000;1jU`2`NYL01P2`NYL010000000/7ZG 0;1jU`00000>0<26UP030000003oool0oooo0080oooo00<000000?ooo`3oool0103oool000d0oooo 00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0X0?ooo`0500000035C`00aDl00k2Y@030000003JbLT0f/W900L0 f/W90P0000000`2hV;H000000:j2Y@0;0:j2Y@030000002ZMYX0ZWJJ00T0ZWJJ00<000000:]`T02[ L900202[L9000`000000/6f50;1]Q@090;1]Q@0300000032LW<0`W9c00X0`W9c00@000000>V2;000 00000000103Qa[d01@000000fXI^0=Z6KP3JQVh0000000/0b8N=00<000000;n;W`2oRil0302oRil0 10000000_9>]0;bC[@0000090;:;[@030000002`OId0/7fM00P0/7fM1000000;0:]gV@030000002` NYL0/7ZG00H0/7ZG00@000000;1jU`2`NYL000003`30QYH01@000000oooo0?ooo`3oool0000000H0 oooo000;0?ooo`<000002`3oool00`000000oooo0?ooo`0X0?ooo`0500000035C`00aDl00k2Y@0=0>k2 Y@030000003JbLT0f/W90080f/W90P0000050;RH]P030000002^PZD0[X:U00T0[X:U00<000000:Yf VP2ZMYX02@2ZMYX00`000000Zg2@0:]`T0080:]`T0030000002`KHD0/6f500T0/6f500<000000<9b L`32LW<02032LW<200000080`IR^00<000000>76_@3Qa[d01P3Qa[d3000000/0b8N=00<000000;n; W`2oRil02`2oRil2000000`0/X^]00<000000;1mW@0000000`0000060:]hV`030000002[MiT0ZgNI 00X0ZgNI00<000000;1jU`2`NYL0202`NYL00`000000/7ZG0000000?0<26UP040000003oool0oooo 000000H0oooo000L0?ooo`030000003oool0oooo02L0oooo0`0000000`35C`0000000?FNC`080?FN C`030000003^`ZD0k/:U00d0k/:U00<000000=[9b@0000000P0000060;RH]P030000002^PZD0[X:U 00T0[X:U00<000000:YfVP2ZMYX02@2ZMYX00`000000Zg2@0:]`T0090:]`T0030000002`KHD0/6f5 00T0/6f500<000000<9bL`32LW<01@32LW<2000000D0`IR^00<000000>76_@3Qa[d0103Qa[d00`00 0000a/WL076_@3Qa[d00P3Qa[d00`000000a/WL0a=400P00000:0?FNC`030000003^`ZD0k/:U00@0k/:U0P0000001032`]X000000;j^bP00 000;0;RH]P030000002^PZD0[X:U00T0[X:U00<000000:YfVP2ZMYX02@2ZMYX00`000000Zg2@0:]` T0080:]`T0030000002`KHD0/6f500X0/6f50`00000>0<6H[P030000003Qa[d0000000X0a/WL00<0 00000k2Y@03 000000@0`/;J00<000000;RH]P2hV;H02P2hV;H00`000000[X:U0:j2Y@090:j2Y@030000002ZMYX0 ZWJJ00T0ZWJJ00<000000:]`T02[L9002@2[L9000`000000/6f50;1]Q@090;1]Q@0300000031V:h0 `IR^00l0`IR^00<000000a=40 c/CA00D0c/CA200000060<;2fP800000302hV;H00`000000[X:U0:j2Y@090:j2Y@030000002ZMYX0 ZWJJ00T0ZWJJ00<000000:]`T02[L9002@2[L9000`000000/6f50;1]Q@070;1]Q@<000004031V:h0 0`000000a/WL000000080a=400000302hV;H00`000000[X:U0:j2Y@090:j2Y@030000002ZMYX0 ZWJJ00P0ZWJJ00<000000:]`T02[L9002@2[L9000`000000/6f50;1]Q@050;1]Q@8000000`2dQZD0 0`000000`IR^0<6H[P0=0<6H[P0400000036bM`0a/WL000000L0a/WL00<000000a=40c/CA0000000<0;RH]P030000002^PZD0[X:U00T0[X:U00<0 00000:YfVP2ZMYX0202ZMYX00`000000Zg2@0:]`T0090:]`T0030000002`KHD0/6f500<0/6f50P00 00050;B6Y@0300000031V:h0`IR^00`0`IR^00<000000a=40000000`0`/;J00<00000 0a=400P3>a=400`000000^9Rf0;RH]P0:0;RH]P030000002^PZD0[X:U00T0[X:U00<00000 0:YfVP2ZMYX02@2ZMYX00`000000Zg2@0:]`T0090:]`T0030000002`KHD0/6f500800000202dQZD0 0`000000`IR^0<6H[P0:0<6H[P0300000036bM`0a/WL00<0a/WL00<000000a=40c/CA 00@0c/CA00<000000;RH]P2hV;H02@2hV;H00`000000[X:U0:j2Y@090:j2Y@030000002ZMYX0ZWJJ 00T0ZWJJ00<000000:]`T02[L9002@2[L903000000X0]8JU00<000000<6H[P31V:h02@31V:h00`00 0000a/WL0a=401@3>a=400`000000^9Rf0;RH]P0:0;RH]P030000002^PZD0[X:U00P0[X:U 00<000000:YfVP2ZMYX02@2ZMYX00`000000Zg2@0:]`T0080:]`T08000003@2dQZD00`000000`IR^ 0<6H[P080<6H[P0300000036bM`0a/WL00H0a/WL00<000000a=401P3>a=400`000000^9Rf 0;RH]P0:0;RH]P030000002^PZD0[X:U00T0[X:U00<000000:YfVP2ZMYX0202ZMYX00`000000Zg2@ 0:]`T0060:]`T080000000<0[gjO0000002dQZD0302dQZD00`000000`IR^0<6H[P070<6H[P030000 0036bM`0a/WL00P0a/WL00<000000a=40c/CA00P0 c/CA00<000000;RH]P2hV;H02@2hV;H00`000000[X:U0:j2Y@090:j2Y@030000002ZMYX0ZWJJ00P0 ZWJJ00<000000:]`T02[L900102[L902000000@0[gjO00<000000;B6Y@2dQZD02`2dQZD00`000000 `IR^0<6H[P050<6H[P0300000036bM`0a/WL00P0a/WL00<000000;omh`0000003@36bM`3000000`0 _96Y00<000000:moX@2_Oj402P2_Oj400`000000ZgRK0:]hV`090:]hV`030000002[MiT0ZgNI00/0 ZgNI00<000000;1jU`2`NYL02@2`NYL01@000000_Ijj00000034/a=400`000000^9Rf0;RH]P090;RH]P030000002^PZD0[X:U 00T0[X:U00<000000:YfVP2ZMYX02@2ZMYX010000000Zg2@0:]`T02[L902000000H0[gjO00<00000 0;B6Y@2dQZD02`2dQZD00`000000`IR^0<6H[P040<6H[P0300000036bM`0a/WL00P0a/WL00D00000 0;omh`2ooN<0_ogS0000000:076_@030000002lTJT0_96Y00T0_96Y00<000000:moX@2_Oj40 2@2_Oj400`000000ZgRK0:]hV`0:0:]hV`030000002[MiT0ZgNI00X0ZgNI00<000000;1jU`2`NYL0 1P2`NYL00`000000_Ijj0;fN^P030;fN^P0500000034/76 _@030000002lTJT0_96Y00T0_96Y00<000000:moX@2_Oj402P2_Oj400`000000ZgRK0:]hV`090:]h V`030000002[MiT0ZgNI00/0ZgNI00<000000;1jU`2`NYL00`2`NYL2000000L0_Ijj00@000000a=402`3>a=400`000000^9Rf0;RH]P080;RH ]P030000002^PZD0[X:U00T0[X:U00<000000:YfVP0000000`0000050:mlV`030000002_OYl0[gjO 00X0[gjO00<000000;B6Y@2dQZD0302dQZD00`000000`IR^0000000:076_@030000002lTJT0_96Y00T0_96Y00<000000:moX@2_Oj402P2_Oj400`00 0000ZgRK0:]hV`0:0:]hV`030000002[MiT0ZgNI00X0ZgNI00<000000;1jU`2`NYL00P2`NYL00`00 0000_Ijj0;fN^P070;fN^P0700000034/a=40 203>a=400`000000^9Rf0;RH]P030;RH]PP00000202fOiT00`000000[gbK0:mlV`090:mlV`030000 002_OYl0[gjO00X0[gjO00<000000;B6Y@2dQZD02`2dQZD00`000000c76_@030000002lTJT0_96Y00T0_96Y00<000000:moX@2_Oj402@2_Oj400`000000 ZgRK0:]hV`0:0:]hV`030000002[MiT0ZgNI00P0ZgNI0`00000@0;fN^P030000003oool0oooo0080 oooo00<000000?ooo`3oool01@3oool100000040oooo0@3oool003P0oooo00<000000?ooo`3oool0 9P3oool00`000000mKB30?FdP`060?FdP`0300000037S9H0ahbF00P0ahbF00<000000;IoV@2fOiT0 202fOiT00`000000[gbK0:mlV`090:mlV`030000002_OYl0[gjO00X0[gjO00<000000;B6Y@2dQZD0 1`2dQZD00`000000c0?oo o`@000002@3Qa[d00`000000_96Y0;bAZ@080;bAZ@030000002_Oj40[gnQ00T0[gnQ00<000000:]h V`2[N9/02P2[N9/00`000000ZgNI0:]gV@060:]gV@8000000`2kTjh00`000000_Ijj0;fN^P0<0;fN ^P030000003oool0oooo00<0oooo00<000000?ooo`3oool01@3oool100000040oooo0@3oool003T0 oooo0P00000W0?ooo`030000003e]8<0mKB300D0mKB300<000000V2;0<000000`3Qa[d00`000000_96Y0;bAZ@080;bAZ@030000 002_Oj40[gnQ00X0[gnQ00<000000:]hV`2[N9/02@2[N9/00`000000ZgNI0:]gV@030:]gV@030000 002kTjh0^i>^00H0^i>^00<000000;fN^P2mW[X02P2mW[X00`000000oooo0?ooo`060?ooo`030000 003oool0oooo00<0oooo0@0000010?ooo`40oooo000l0?ooo`030000003oool0oooo02D0oooo00<0 00000?FdP`3e]8<0103e]8<00`000000ahbF0^00<000000;fN^P2mW[X02@2mW[X00`000000oooo0?oo o`080?ooo`030000003oool0oooo0080oooo0@0000010?ooo`40oooo000m0?ooo`030000003oool0 oooo02D0oooo00<000000?FdP`3e]8<00`3e]8<00`000000ahbF0V2;03YPR`01@3YPR`00`000000f8Qe00000002000000H0_96Y00<000000:mo X@2_Oj402@2_Oj400`000000ZgRK0:]hV`080:]hV`<000003P2kTjh00`000000_Ijj0;fN^P060;fN ^P030000003oool0oooo00/0oooo00<000000?ooo`3oool00P3oool100000040oooo00100?ooo`03 0000003oool0oooo02@0oooo00<000000?FdP`3e]8<00P3e]8<00`000000ahbF0V2;0030000003H R7D0f8Qe00@0f8Qe0`0000000`2lTJT000000:moX@0:0:moX@030000002[N9/0000000<000001`2n S:400`000000^i>^0;^C[P0<0;^C[P030000002mW[X0_Ijj00@0_Ijj00<000000?ooo`3oool03P3o ool010000000oooo0?ooo`0000010?ooo`00@P3oool00`000000oooo0?ooo`0T0?ooo`8000000P3e ]8<00`000000ahbF0^00`0^i>^00@000000;fN^P2mW[X000005P3oool200000000A`3o ool00`000000oooo0?ooo`0T0?ooo`8000002037S9H00`000000]WnI0;IoV@070;IoV@030000002_ O9/0[gbK00X0[gbK00<000000:mnW`2_OYl01@2_OYl00`000000f/W90=[9b@040=[9b@030000003< bML0cV2;00000090=R8M@030000 0037RI40ahVA00P0ahVA00<000000;j^0;^C[P0=0;^C[P800000 5`3oool200000000B03oool2000002D0oooo00<000000^00`0^i>^00<000000?ooo`3oool0 5P3oool200000000BP3oool00`000000oooo0?ooo`0S0?ooo`8000001`37S9H00`000000]WnI0;Io V@070;IoV@030000002_O9/0[gbK00T0[gbK00<000000:mnW`2_OYl00`2_OYl00`000000f/W90=[9 b@080=[9b@030000003^0;^C[P0:0;^C[P8000005@3oool400000080oooo001; 0?ooo`030000003oool0oooo02<0oooo0`0000050^0;^C[P080;^C[P030000003oool0oooo0140oooo10000006 0?ooo`00C03oool00`000000oooo0?ooo`0S0?ooo`@000000`37S9H00`000000]WnI0;IoV@070;Io V@030000002_O9/0[gbK00X0[gbK00@000000:mnW`00000000002`3JbLT2000003@0oooo0P000007 0=R8M@0300000037RI40ahVA00T0ahVA00<000000;j^0;^C[P07 0;^C[P030000003oool0oooo00h0oooo1000000:0?ooo`00C@3oool2000002@0oooo1@0000000`37 S9H000000;IoV@080;IoV@030000002_O9/0[gbK00X0[gbK0P00000<0=[9b@030000003oool0oooo 03H0oooo0P0000060=R8M@0300000037RI40ahVA00P0ahVA00<000000;j^0;^C[P050;^C[P8000003P3oool3000000h0oooo001?0?ooo`030000003oool0oooo02<0 oooo0P0000001035C`0000000000000000080;IoV@030000002_O9/0[gbK00P0[gbK0`00000<0=[9 b@030000003oool0oooo03T0oooo0P0000040=R8M@0300000037RI40ahVA00T0ahVA00<000000;j< X@2nS:402P2nS:400`000000^i>^0;^C[P030;^C[P030000003oool0oooo00X0oooo1000000A0?oo o`00D03oool00`000000oooo0?ooo`0S0?ooo`<0000000@0aDl000000000000000001`2fOiT00`00 0000[gbK0:mlV`030:mlV`@000000`3^`ZD00`000000f/W90=[9b@070=[9b@800000?P3oool20000 00<0f8Qe00<000000^ 0080^i>^00<000000?ooo`3oool01`3oool4000001D0oooo001A0?ooo`030000003oool0oooo02<0 oooo1@0000000`3eWTl000000000000300000080]WnI00<000000:mlV`0000000`0000080>k2Y@80 00001P3JbLT00`000000oooo0?ooo`100?ooo`80000000<0f8Qe00000037RI402@37RI400`000000 _XbQ0;j^008000001P3oool4000001T0oooo001B0?ooo`800000 9@3oool00`000000c/CA00000002000000@0mIi?1000000>0>k2Y@030000003JbLT0f/W90080f/W9 00<000000?ooo`3oool0@`3oool3000000X0ahVA00<000000;ja=400000008000001P3e WTl00`000000k/:U0>k2Y@0=0>k2Y@040000003JbLT00000000004P0oooo0`0000080k2Y@3^`ZD0303^`ZD2000004d0oooo1000 00040a=400P0000050?FNC`8000002@3^`ZD3 000005<0oooo100000000`37RI4000000;ja=4000000?ooo`@000000`3eWTl00`000000k/:U0>k2Y@04 0>k2Y@800000FP3oool300000080oooo0`00000/0?ooo`00F@3oool00`000000oooo0?ooo`0S0?oo o`030000003oool0oooo00@0oooo1@0000020>k2Y@<00000G@3oool4000002l0oooo001J0?ooo`03 0000003oool0oooo0280oooo00<000000?ooo`3oool0203oool3000005`0oooo1000000c0?ooo`00 F`3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo06<0oooo1000000g0?ooo`00G03o ool200000240oooo00<000000?ooo`3oool0H03oool3000003/0oooo001N0?ooo`030000003oool0 oooo01h0oooo00<000000?ooo`3oool0G03oool4000003h0oooo001O0?ooo`030000003oool0oooo 01d0oooo00<000000?ooo`3oool0F03oool400000480oooo001P0?ooo`030000003oool0oooo01`0 oooo00<000000?ooo`3oool0E03oool4000004H0oooo001Q0?ooo`800000703oool00`000000oooo 0?ooo`1A0?ooo`<00000BP3oool006<0oooo00<000000?ooo`3oool06@3oool00`000000oooo0?oo o`1=0?ooo`@00000C@3oool006@0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`19 0?ooo`@00000D@3oool006D0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`160?oo o`<00000E@3oool006H0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`120?ooo`@0 0000F03oool006L0oooo0P00000F0?ooo`030000003oool0oooo03h0oooo1000001L0?ooo`00J@3o ool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo03X0oooo1000001P0?ooo`00JP3oool0 0`000000oooo0?ooo`0B0?ooo`030000003oool0oooo03L0oooo0`00001T0?ooo`00J`3oool00`00 0000oooo0?ooo`0A0?ooo`030000003oool0oooo03<0oooo1000001W0?ooo`00K03oool200000100 oooo00<000000?ooo`3oool0<03oool4000006/0oooo001^0?ooo`030000003oool0oooo00d0oooo 00<000000?ooo`3oool0;03oool4000006l0oooo001_0?ooo`030000003oool0oooo00`0oooo00<0 00000?ooo`3oool0:@3oool3000007<0oooo001`0?ooo`030000003oool0oooo00/0oooo00<00000 0?ooo`3oool09@3oool4000007H0oooo001a0?ooo`8000002`3oool00`000000oooo0?ooo`0Q0?oo o`@00000NP3oool007<0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0M0?ooo`@0 0000OP3oool007@0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0J0?ooo`<00000 PP3oool007D0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0F0?ooo`@00000Q@3o ool007H0oooo0P0000060?ooo`030000003oool0oooo0180oooo100000290?ooo`00N03oool00`00 0000oooo0?ooo`030?ooo`030000003oool0oooo00h0oooo1000002=0?ooo`00N@3oool00`000000 oooo0?ooo`020?ooo`030000003oool0oooo00/0oooo0`00002A0?ooo`00NP3oool01@000000oooo 0?ooo`3oool0000000T0oooo1000002D0?ooo`00N`3oool2000000030?ooo`000000oooo00@0oooo 1000002H0?ooo`00O@3oool2000000030?ooo`000000000000800000W03oool007h0oooo0P00002P 0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ 0?ooo`00o`3ooolQ0?ooo`00o`3ooolQ0?ooo`00\ \>"], ImageRangeCache->{{{161, 448}, {351.5, 119}} -> {-0.644283, 0.460769, \ 0.00356446, 0.00356446}, {{201.25, 560}, {439.438, 148.75}} -> {-0.644283, \ 0.460769, 0.00356446, 0.00356446}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] SurfaceGraphics \[SkeletonIndicator]\), False, Editable->False]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Matrices", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(a\ = \ {{1, 2, 3}, {\(-1\), 4, 2}, {0, 8, \(-4\)}}\)], "Input"], Cell[BoxData[ \({{1, 2, 3}, {\(-1\), 4, 2}, {0, 8, \(-4\)}}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(b\ = \ {{2, \ \(-7\), 4}, {3, 5, \(-1\)}, {5, \(-2\), 3}}\)], "Input"], Cell[BoxData[ \({{2, \(-7\), 4}, {3, 5, \(-1\)}, {5, \(-2\), 3}}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MatrixForm[a]\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"1", "2", "3"}, {\(-1\), "4", "2"}, {"0", "8", \(-4\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MatrixForm[b]\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"2", \(-7\), "4"}, {"3", "5", \(-1\)}, {"5", \(-2\), "3"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(a\ . \ b\)], "Input"], Cell[BoxData[ \({{23, \(-3\), 11}, {20, 23, \(-2\)}, {4, 48, \(-20\)}}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MatrixForm[a . b]\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"23", \(-3\), "11"}, {"20", "23", \(-2\)}, {"4", "48", \(-20\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MatrixForm[Transpose[a]]\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"1", \(-1\), "0"}, {"2", "4", "8"}, {"3", "2", \(-4\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MatrixForm[Inverse[a]]\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(1\/2\), \(-\(1\/2\)\), \(1\/8\)}, {\(1\/16\), \(1\/16\), \(5\/64\)}, {\(1\/8\), \(1\/8\), \(-\(3\/32\)\)} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MatrixForm[Inverse[a]\ . \ a]\)], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"1", "0", "0"}, {"0", "1", "0"}, {"0", "0", "1"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Det[a]\)], "Input"], Cell[BoxData[ \(\(-64\)\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Det[b]\)], "Input"], Cell[BoxData[ \(0\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eigenvalues[b]\)], "Input"], Cell[BoxData[ \({0, 5 - \[ImaginaryI]\ \@5, 5 + \[ImaginaryI]\ \@5}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Random Numbers and Tables", "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(Random[]\)], "Input"], Cell[BoxData[ \(0.13061613320023258`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Random[Real, {\(-1\), 1}]\)], "Input"], Cell[BoxData[ \(0.04278309883097786`\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Table[Random[Real, {\(-1\), 1}], {i, 1, 10}]\)], "Input"], Cell[BoxData[ \({\(-0.45128346288613663`\), 0.5294253307359518`, 0.9206678132480233`, \(-0.36051219140178814`\), 0.4656686431040373`, \(-0.46915703572116885`\), \ \(-0.9627371850986043`\), 0.4854026453844036`, \(-0.8632071606341059`\), \ \(-0.43292548482835413`\)}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Table[1.5\ i^2 + Random[Real, {\(-1\), 1}], {i, 0, 9}]\)], "Input"], Cell[BoxData[ \({0.20331252173202707`, 0.895422201554576`, 5.684219259928237`, 14.304730092182755`, 23.40959427769398`, 37.79276702236906`, 54.93907224823741`, 72.86913091390548`, 95.31529075764318`, 121.44749731014006`}\)], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(ListPlot[%65, PlotStyle \[Rule] {PointSize[ .03], RGBColor[0, 1, 1]}]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -0.0820106 0.10582 0.0137281 0.0048547 [ [.34127 .00123 -3 -9 ] [.34127 .00123 3 0 ] [.55291 .00123 -3 -9 ] [.55291 .00123 3 0 ] [.76455 .00123 -3 -9 ] [.76455 .00123 3 0 ] [.97619 .00123 -6 -9 ] [.97619 .00123 6 0 ] [.11713 .11082 -12 -4.5 ] [.11713 .11082 0 4.5 ] [.11713 .20792 -12 -4.5 ] [.11713 .20792 0 4.5 ] [.11713 .30501 -12 -4.5 ] [.11713 .30501 0 4.5 ] [.11713 .4021 -12 -4.5 ] [.11713 .4021 0 4.5 ] [.11713 .4992 -18 -4.5 ] [.11713 .4992 0 4.5 ] [.11713 .59629 -18 -4.5 ] [.11713 .59629 0 4.5 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .34127 .01373 m .34127 .01998 L s [(4)] .34127 .00123 0 1 Mshowa .55291 .01373 m .55291 .01998 L s [(6)] .55291 .00123 0 1 Mshowa .76455 .01373 m .76455 .01998 L s [(8)] .76455 .00123 0 1 Mshowa .97619 .01373 m .97619 .01998 L s [(10)] .97619 .00123 0 1 Mshowa .125 Mabswid .18254 .01373 m .18254 .01748 L s .23545 .01373 m .23545 .01748 L s .28836 .01373 m .28836 .01748 L s .39418 .01373 m .39418 .01748 L s .44709 .01373 m .44709 .01748 L s .5 .01373 m .5 .01748 L s .60582 .01373 m .60582 .01748 L s .65873 .01373 m .65873 .01748 L s .71164 .01373 m .71164 .01748 L s .81746 .01373 m .81746 .01748 L s .87037 .01373 m .87037 .01748 L s .92328 .01373 m .92328 .01748 L s .07672 .01373 m .07672 .01748 L s .02381 .01373 m .02381 .01748 L s .25 Mabswid 0 .01373 m 1 .01373 L s .12963 .11082 m .13588 .11082 L s [(20)] .11713 .11082 1 0 Mshowa .12963 .20792 m .13588 .20792 L s [(40)] .11713 .20792 1 0 Mshowa .12963 .30501 m .13588 .30501 L s [(60)] .11713 .30501 1 0 Mshowa .12963 .4021 m .13588 .4021 L s [(80)] .11713 .4021 1 0 Mshowa .12963 .4992 m .13588 .4992 L s [(100)] .11713 .4992 1 0 Mshowa .12963 .59629 m .13588 .59629 L s [(120)] .11713 .59629 1 0 Mshowa .125 Mabswid .12963 .038 m .13338 .038 L s .12963 .06228 m .13338 .06228 L s .12963 .08655 m .13338 .08655 L s .12963 .1351 m .13338 .1351 L s .12963 .15937 m .13338 .15937 L s .12963 .18364 m .13338 .18364 L s .12963 .23219 m .13338 .23219 L s .12963 .25646 m .13338 .25646 L s .12963 .28074 m .13338 .28074 L s .12963 .32928 m .13338 .32928 L s .12963 .35356 m .13338 .35356 L s .12963 .37783 m .13338 .37783 L s .12963 .42638 m .13338 .42638 L s .12963 .45065 m .13338 .45065 L s .12963 .47492 m .13338 .47492 L s .12963 .52347 m .13338 .52347 L s .12963 .54774 m .13338 .54774 L s .12963 .57202 m .13338 .57202 L s .25 Mabswid .12963 0 m .12963 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath 0 1 1 r .03 w .02381 .01472 Mdot .12963 .01808 Mdot .23545 .04132 Mdot .34127 .08317 Mdot .44709 .12737 Mdot .55291 .1972 Mdot .65873 .28044 Mdot .76455 .36749 Mdot .87037 .47645 Mdot .97619 .60332 Mdot % End of Graphics MathPictureEnd \ \>"], "Graphics", GeneratedCell->False, CellAutoOverwrite->False, ImageSize->{288, 177.938}, ImageMargins->{{69, 0}, {0, 2}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgHQ 083HQ083H00`000000P020c>H2000003@0 PH006@0PH0=020c>H010000000PH0PH0PH0PH010000000PH0PH0PH0PH0PH01@000000PH000000080PH02020c>H00680PH00`000000PH0PH0PH0PH00`000000PH0PH0PH0PH0=@20c>H3000003L0PH0PH50?oo01T0PH0l`20c>H000/0PH000/0PH000L0PH00`000000PH00`00 0000PH0PH03020c>H00`00 0000PH0PH02`20c>H00`00 0000PH0PH02`20c>H00`00 0000PH0PH02`20c>H00`00 0000PH0PH03020c>H00`00 0000PH70?oo01H0PH0PH0=`20c>H00`000000PH0PH70?oo0?40P083H0PH002X0PH05`20c>H70?oo0=D0PH0PH2000001L0PH00`000000PH002X0PH05`20 c>H70?oo0=D0PH0PH00`00 0000PH0PH0PH002X0PH0l`20c>H002X0PH0=@20c>H50?oo0;T0PH0PH00`000000PH002X0PH0 <`20c>H80?oo0;P0PH0PH2 000003D0PH00`000000PH002X0 PH0=`20c>H00`3oo`00PH00`000000PH4000000<0PH0PH0PH000001020c>H00`000000PH00`000000PH0PH01@000000PH000000080PH00P20 c>H00`000000PH001l0PH000000P20 c>H00`000000PH0PH0 10000000PH0PH0 D@20c>H70?oo09/0PH2000000D0PH0D020 c>H80?oo09/0PH0PH00`00 0000PH002X0PH002X0PH0E020c>H00`3oo`00PH00`000000PH00`000000PH00`000000PH00`000000PH00`000000PH200000?@0PH0PH0PH0PH0PH0PH50?oo07l0PH0PH00`000000PH002X0PH0K@20c>H80?oo07h0PH0PH00`000000PH0 0`000000PH001h0PH0PH0PH0K`20c>H50?oo07l0PH010000000PH00`3oo`00PH010000000PH0PH0l`20c>H001`0PH010000000PH0PH010000000PH0PH0PH0PH0PH002X0PH0l`20c>H002X0PH0l`20 c>H002X0PH0l`20c>H002X0PH0l`20c>H002X0 PH0l`20c>H002X0PH0l`20c>H002X0PH00`000000PH00`000000PH00`000000PH002X0PH0 R`20c>H70?oo0640PH0PH0 0`000000PH002X0PH002X0 PH0R`20c>H70?oo0640PH0PH00`000000P083H0PH2000000D0PH0l`20c>H001`0PH000000P20c>H010000000PH0PH0PH000001020c>H300000?<0PH010000000PH0PH0PH000001020c>H00`000000PH00`000000PH0PH0l`20c>H001d0PH00`000000PH00`000000PH00`000000PH200000?@0PH0PH0PH0PH0PH0PH002X0PH0Z020c>H50?oo04H0PH0PH00`000000PH002X0PH0YP20c>H80?oo04D0PH0PH00`000000PH002X0PH0 02X0PH0ZP20c>H00`3oo`00PH00`000000 PH00`000000PH00`000000PH2000000@0PH0PH0PH000001020c>H00`000000PH010000000PH0PH2000000<0PH000001020c>H00`000000PH010000000PH0PH0l`20c>H001`0PH000000P20c>H010000000 PH0PH2000000D0 PH0l`20c>H002X0PH0l`20c>H002X0PH00`000000PH00`000000PH00`000000PH00`000000PH00`000000PH00`000000PH20000 0?@0PH0PH0PH0PH0PH00`000000PH002X0PH0a020c>H70?oo02P0PH80?oo02P0PH0PH00`000000PH0 02X0PH0a@20c>H50?oo02T0PH2000000@0 PH0PH0:@20c>H001P0PH0PH0PH00P20c>H00`000000PH01@000000PH00000 0080PH000000P20c>H00`000000PH0 01P0PH0PH0PH00P20c>H00`000000PH01@000000PH000000080PH000000P20c>H00`000000PH0PH010000000PH0PH0l`20c>H001P0PH0 0P20c>H2000000@0PH0PH0PH0PH002X0 PH0l`20c>H002X0PH0l`20c>H002X0PH0l`20c>H002X0PH0l`20c>H002X0PH0l`20c>H002X0PH00`000000PH00`000000PH00`000000PH00`00 0000PH00`000000PH00`000000PH200000?@0PH0PH0PH0PH0PH4000000<0PH0PH0PH010000000PH0P80PH00`000000PH0PH000001020c>H300000>40PH00`000000PH0PH00`000000PH0P40PH00`000000PH0PH0 0P20c>H00`000000PH001H0PH0PH000001020c>H00`000000PH001P0PH00P20c>H2000000@0PH0P40PH00`000000PH00001\ \>"], ImageRangeCache->{{{187, 474}, {297.875, 121}} -> {-5.97109, 82.1587, \ 0.0347083, 0.756552}, {{233.75, 592.5}, {372.375, 151.25}} -> {-5.97109, \ 82.1587, 0.0347083, 0.756552}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output", GeneratedCell->False, CellAutoOverwrite->False] }, Open ]] }, Closed]] }, Open ]] }, FrontEndVersion->"5.1 for X", ScreenRectangle->{{0, 1280}, {0, 1024}}, WindowSize->{744, 551}, WindowMargins->{{Automatic, 21}, {154, Automatic}}, PrintingPageRange->{Automatic, Automatic}, PrintingOptions->{"PaperSize"->{612, 792}, "PaperOrientation"->"Portrait", "PostScriptOutputFile":>FrontEnd`FileName[{$RootDirectory, "afs", "nd.edu", \ "users", "johnson", "Math"}, "Lesson1.nb.ps", CharacterEncoding -> \ "iso8859-1"], "Magnification"->1}, CellLabelAutoDelete->True, Magnification->1, StyleDefinitions -> "ArticleModern.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[1776, 53, 95, 4, 89, "Title"], Cell[1874, 59, 44, 0, 37, "Subtitle"], Cell[CellGroupData[{ Cell[1943, 63, 29, 0, 63, "Section"], Cell[CellGroupData[{ Cell[1997, 67, 38, 1, 42, "Input"], Cell[2038, 70, 87, 3, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2162, 78, 46, 1, 42, "Input"], Cell[2211, 81, 88, 3, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2336, 89, 37, 1, 42, "Input"], Cell[2376, 92, 90, 3, 58, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2503, 100, 43, 1, 42, "Input"], Cell[2549, 103, 91, 3, 42, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2677, 111, 36, 1, 42, "Input"], Cell[2716, 114, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2840, 122, 37, 1, 41, "Input"], Cell[2880, 125, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3004, 133, 43, 1, 41, "Input"], Cell[3050, 136, 89, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3176, 144, 36, 1, 41, "Input"], Cell[3215, 147, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3339, 155, 38, 1, 40, "Input"], Cell[3380, 158, 117, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3534, 166, 42, 0, 54, "Subsection"], Cell[CellGroupData[{ Cell[3601, 170, 39, 1, 40, "Input"], Cell[3643, 173, 105, 3, 40, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3785, 181, 79, 2, 56, "Input"], Cell[3867, 185, 143, 3, 40, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4047, 193, 38, 1, 40, "Input"], Cell[4088, 196, 104, 3, 40, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4229, 204, 62, 1, 40, "Input"], Cell[4294, 207, 88, 3, 40, "Output"] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[4443, 217, 28, 0, 63, "Section"], Cell[CellGroupData[{ Cell[4496, 221, 40, 1, 41, "Input"], Cell[4539, 224, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4663, 232, 40, 1, 41, "Input"], Cell[4706, 235, 89, 3, 48, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4832, 243, 37, 1, 41, "Input"], Cell[4872, 246, 105, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5014, 254, 40, 1, 41, "Input"], Cell[5057, 257, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5181, 265, 42, 1, 41, "Input"], Cell[5226, 268, 92, 3, 62, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5355, 276, 41, 1, 41, "Input"], Cell[5399, 279, 112, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5548, 287, 42, 1, 41, "Input"], Cell[5593, 290, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5717, 298, 42, 1, 41, "Input"], Cell[5762, 301, 145, 4, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5944, 310, 39, 1, 41, "Input"], Cell[5986, 313, 101, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6124, 321, 37, 1, 41, "Input"], Cell[6164, 324, 104, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6305, 332, 39, 1, 41, "Input"], Cell[6347, 335, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6471, 343, 39, 1, 41, "Input"], Cell[6513, 346, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6637, 354, 46, 1, 41, "Input"], Cell[6686, 357, 106, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6829, 365, 46, 1, 41, "Input"], Cell[6878, 368, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7002, 376, 46, 1, 41, "Input"], Cell[7051, 379, 90, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7178, 387, 41, 1, 41, "Input"], Cell[7222, 390, 87, 3, 41, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[7358, 399, 30, 0, 36, "Section"], Cell[CellGroupData[{ Cell[7413, 403, 42, 1, 41, "Input"], Cell[7458, 406, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[7582, 414, 34, 1, 41, "Input"], Cell[7619, 417, 87, 3, 41, "Output"] }, Open ]], Cell[7721, 423, 41, 1, 41, "Input"], Cell[CellGroupData[{ Cell[7787, 428, 34, 1, 41, "Input"], Cell[7824, 431, 87, 3, 41, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[7960, 440, 32, 0, 36, "Section"], Cell[CellGroupData[{ Cell[8017, 444, 57, 1, 41, "Input"], Cell[8077, 447, 122, 3, 43, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[8236, 455, 73, 1, 41, "Input"], Cell[8312, 458, 171, 4, 43, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[8520, 467, 44, 1, 41, "Input"], Cell[8567, 470, 116, 3, 43, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[8720, 478, 42, 1, 41, "Input"], Cell[8765, 481, 93, 3, 43, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[8895, 489, 44, 1, 41, "Input"], Cell[8942, 492, 92, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[9071, 500, 61, 1, 41, "Input"], Cell[9135, 503, 92, 3, 41, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[9276, 512, 36, 0, 36, "Section"], Cell[CellGroupData[{ Cell[9337, 516, 72, 1, 41, "Input"], Cell[9412, 519, 121, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[9570, 527, 75, 1, 41, "Input"], Cell[9648, 530, 202, 4, 65, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[9887, 539, 103, 2, 57, "Input"], Cell[9993, 543, 315, 6, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[10345, 554, 75, 1, 41, "Input"], Cell[10423, 557, 92, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[10552, 565, 115, 2, 41, "Input"], Cell[10670, 569, 129, 3, 58, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[10836, 577, 46, 1, 41, "Input"], Cell[10885, 580, 101, 3, 58, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[11023, 588, 59, 1, 41, "Input"], Cell[11085, 591, 117, 3, 41, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[11251, 600, 27, 0, 36, "Section"], Cell[CellGroupData[{ Cell[11303, 604, 79, 1, 41, "Input"], Cell[11385, 607, 24449, 637, 193, 5898, 402, "GraphicsData", "PostScript", \ "Graphics"], Cell[35837, 1246, 182, 5, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[36056, 1256, 232, 4, 89, "Input"], Cell[36291, 1262, 21448, 649, 193, 7815, 475, "GraphicsData", "PostScript", \ "Graphics"], Cell[57742, 1913, 182, 5, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[57961, 1923, 103, 2, 41, "Input"], Cell[58067, 1927, 94696, 1660, 249, 20074, 733, "GraphicsData", "PostScript", \ "Graphics"], Cell[152766, 3589, 189, 5, 41, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[153004, 3600, 27, 0, 36, "Section"], Cell[CellGroupData[{ Cell[153056, 3604, 84, 1, 41, "Input"], Cell[153143, 3607, 129, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[153309, 3615, 91, 1, 41, "Input"], Cell[153403, 3618, 134, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[153574, 3626, 46, 1, 41, "Input"], Cell[153623, 3629, 324, 10, 77, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[153984, 3644, 46, 1, 41, "Input"], Cell[154033, 3647, 327, 10, 77, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[154397, 3662, 42, 1, 41, "Input"], Cell[154442, 3665, 140, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[154619, 3673, 50, 1, 41, "Input"], Cell[154672, 3676, 333, 10, 77, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[155042, 3691, 57, 1, 41, "Input"], Cell[155102, 3694, 324, 10, 77, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[155463, 3709, 55, 1, 41, "Input"], Cell[155521, 3712, 377, 10, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[155935, 3727, 63, 1, 41, "Input"], Cell[156001, 3730, 318, 10, 77, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[156356, 3745, 39, 1, 41, "Input"], Cell[156398, 3748, 93, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[156528, 3756, 39, 1, 41, "Input"], Cell[156570, 3759, 87, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[156694, 3767, 47, 1, 41, "Input"], Cell[156744, 3770, 137, 3, 51, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[156930, 3779, 44, 0, 36, "Section"], Cell[CellGroupData[{ Cell[156999, 3783, 41, 1, 41, "Input"], Cell[157043, 3786, 106, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[157186, 3794, 58, 1, 41, "Input"], Cell[157247, 3797, 106, 3, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[157390, 3805, 77, 1, 41, "Input"], Cell[157470, 3808, 355, 8, 57, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[157862, 3821, 87, 1, 41, "Input"], Cell[157952, 3824, 311, 6, 41, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[158300, 3835, 109, 2, 41, "Input"], Cell[158412, 3839, 14370, 362, 195, 3128, 217, "GraphicsData", "PostScript", \ "Graphics"], Cell[172785, 4203, 182, 5, 41, "Output"] }, Open ]] }, Closed]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)