(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 143518, 3097]*) (*NotebookOutlinePosition[ 144294, 3124]*) (* CellTagsIndexPosition[ 144250, 3120]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[TextData[StyleBox["\nDirect IRLS"]], "Title"], Cell[CellGroupData[{ Cell[TextData[StyleBox["\nFirst define a matrix/rhs "]], "Section"], Cell[CellGroupData[{ Cell[BoxData[{ \(A\ = \ {{1, 0}, {1, 1}, {2, 1}, {0, 2}} // N; \nMatrixForm[A]\), \(y\ = \ {1, 1, 1, 1} // N; \nnrows = 4; \nncols\ = \ 2; \)}], "Input"], Cell[BoxData[ TagBox[ RowBox[{"(", GridBox[{ {"1.`", "0"}, {"1.`", "1.`"}, {"2.`", "1.`"}, {"0", "2.`"} }], ")"}], (MatrixForm[ #]&)]], "Output"] }, Open ]] }, Open ]], Cell[TextData[StyleBox[ "\nl2 is the ordinary least squares solution, for reference. nwts is the \ number of \"outer iterations\". eps is the tolerance for residuals. On the \ first pass through, the weights are 1 and R is an identity matrix."]], "Section"], Cell[CellGroupData[{ Cell[TextData[StyleBox[ "\nSince we're using a diagonal weighting matrix, we can convert this into an \ ordinary unweighted least squares problem by taking the square root of R and \ defining a new matrix AA = R.A and a new right hand side, R.y."]], "Section"], Cell[CellGroupData[{ Cell[BoxData[{ \(l2 = \ PseudoInverse[A]\ .\ y\), \(nwts = 5; \npnorm = 1.0; \neps = .001; \n weights\ = \ Table[1, {i, nrows}]; \n\n Do[\n\t\n\tR\ = \ DiagonalMatrix[weights]; \n\t (*Print[MatrixForm[R]]; *) \n\tAA\ = \ R.A; \n\tyy\ = \ R.y; \n\t lp\ = \ PseudoInverse[AA]\ .\ yy; \n\t\n\ \ r\ = \ A.lp\ - y; \n \t\ \ Print[r]; \n\ \n\t\t \(Do[\n\t\t\twt\ = \ \((Max[eps, Abs[r[\([i]\)]]])\)^\((pnorm - 2)\); \n\t\t\t\(weights[\([i]\)]\ = \ Sqrt[wt];\)\n\t\t\t\t, {i, nrows}]; \)\n\t\n\t, {k, nwts}]; \n\nlp\)}], "Input"], Cell[BoxData[ \({0.444444444444444375`, 0.44444444444444473`}\)], "Output"], Cell[BoxData[ \({\(-0.555555555555555535`\), \(-0.111111111111110938`\), 0.333333333333333481`, \(-0.111111111111110605`\)}\)], "Print"], Cell[BoxData[ \({\(-0.590062111801242217`\), \(-0.0931677018633541109`\), 0.316770186335403547`, \(-0.00621118012422372522`\)}\)], "Print"], Cell[BoxData[ \({\(-0.592167573401466995`\), \(-0.0921785863747495071`\), 0.315653840223783621`, \(-0.0000220259465650851637`\)}\)], "Print"], Cell[BoxData[ \({\(-0.592175076348631712`\), \(-0.0921750826836476022`\), 0.315649840967720418`, \(-1.26700316904759802`*^-8\)}\)], "Print"], Cell[BoxData[ \({\(-0.592175080664597075`\), \(-0.092175080668241307`\), 0.315649838667161564`, \(-7.28850313436169017`*^-12\)}\)], "Print"], Cell[BoxData[ \({0.407824919335402924`, 0.499999999996355715`}\)], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[StyleBox[ "\nCheck the answer. We know analytically that all the l1 solutions must \ have an l1 norm error of 1."]], "Section"], Cell[CellGroupData[{ Cell[BoxData[{ \(MatrixForm[lp]\), \(\tr\ = \ A.lp\ - \ y; \nSum[Abs[r[\([i]\)]^pnorm], {i, nrows}]\)}], "Input"], Cell[BoxData[ InterpretationBox[ RowBox[{"(", GridBox[{ {"0.407824919335402924`"}, {"0.499999999996355715`"} }], ")"}], MatrixForm[ {0.40782491933540288, 0.49999999999635575}]]], "Output"], Cell[BoxData[ \(1.00000000000728839`\)], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[StyleBox[ "Now consider a larger problem with more realistic data."]], "Section"], Cell[CellGroupData[{ Cell[BoxData[ \(\(nrows\ = \ 100; \nncols\ = \ 10; \n A\ = \ Table[Random[], {i, nrows}, {j, ncols}]; \n y\ = \ Table[1, {i, nrows}]; \nl2\ = \ PseudoInverse[A]\ .\ y; \n ListPlot[l2, PlotJoined -> True]\n\)\)], "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 /Courier findfont 10 scalefont setfont % Scaling calculations -0.0820106 0.10582 -0.321403 3.39233 [ [.34127 .00533 -3 -9 ] [.34127 .00533 3 0 ] [.55291 .00533 -3 -9 ] [.55291 .00533 3 0 ] [.76455 .00533 -3 -9 ] [.76455 .00533 3 0 ] [.97619 .00533 -6 -9 ] [.97619 .00533 6 0 ] [.11713 .10264 -30 -4.5 ] [.11713 .10264 0 4.5 ] [.11713 .18745 -24 -4.5 ] [.11713 .18745 0 4.5 ] [.11713 .27225 -30 -4.5 ] [.11713 .27225 0 4.5 ] [.11713 .35706 -18 -4.5 ] [.11713 .35706 0 4.5 ] [.11713 .44187 -30 -4.5 ] [.11713 .44187 0 4.5 ] [.11713 .52668 -24 -4.5 ] [.11713 .52668 0 4.5 ] [.11713 .61149 -30 -4.5 ] [.11713 .61149 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 .01783 m .34127 .02408 L s [(4)] .34127 .00533 0 1 Mshowa .55291 .01783 m .55291 .02408 L s [(6)] .55291 .00533 0 1 Mshowa .76455 .01783 m .76455 .02408 L s [(8)] .76455 .00533 0 1 Mshowa .97619 .01783 m .97619 .02408 L s [(10)] .97619 .00533 0 1 Mshowa .125 Mabswid .18254 .01783 m .18254 .02158 L s .23545 .01783 m .23545 .02158 L s .28836 .01783 m .28836 .02158 L s .39418 .01783 m .39418 .02158 L s .44709 .01783 m .44709 .02158 L s .5 .01783 m .5 .02158 L s .60582 .01783 m .60582 .02158 L s .65873 .01783 m .65873 .02158 L s .71164 .01783 m .71164 .02158 L s .81746 .01783 m .81746 .02158 L s .87037 .01783 m .87037 .02158 L s .92328 .01783 m .92328 .02158 L s .07672 .01783 m .07672 .02158 L s .02381 .01783 m .02381 .02158 L s .25 Mabswid 0 .01783 m 1 .01783 L s .12963 .10264 m .13588 .10264 L s [(0.125)] .11713 .10264 1 0 Mshowa .12963 .18745 m .13588 .18745 L s [(0.15)] .11713 .18745 1 0 Mshowa .12963 .27225 m .13588 .27225 L s [(0.175)] .11713 .27225 1 0 Mshowa .12963 .35706 m .13588 .35706 L s [(0.2)] .11713 .35706 1 0 Mshowa .12963 .44187 m .13588 .44187 L s [(0.225)] .11713 .44187 1 0 Mshowa .12963 .52668 m .13588 .52668 L s [(0.25)] .11713 .52668 1 0 Mshowa .12963 .61149 m .13588 .61149 L s [(0.275)] .11713 .61149 1 0 Mshowa .125 Mabswid .12963 .03479 m .13338 .03479 L s .12963 .05175 m .13338 .05175 L s .12963 .06871 m .13338 .06871 L s .12963 .08568 m .13338 .08568 L s .12963 .1196 m .13338 .1196 L s .12963 .13656 m .13338 .13656 L s .12963 .15352 m .13338 .15352 L s .12963 .17048 m .13338 .17048 L s .12963 .20441 m .13338 .20441 L s .12963 .22137 m .13338 .22137 L s .12963 .23833 m .13338 .23833 L s .12963 .25529 m .13338 .25529 L s .12963 .28922 m .13338 .28922 L s .12963 .30618 m .13338 .30618 L s .12963 .32314 m .13338 .32314 L s .12963 .3401 m .13338 .3401 L s .12963 .37402 m .13338 .37402 L s .12963 .39099 m .13338 .39099 L s .12963 .40795 m .13338 .40795 L s .12963 .42491 m .13338 .42491 L s .12963 .45883 m .13338 .45883 L s .12963 .47579 m .13338 .47579 L s .12963 .49275 m .13338 .49275 L s .12963 .50972 m .13338 .50972 L s .12963 .54364 m .13338 .54364 L s .12963 .5606 m .13338 .5606 L s .12963 .57756 m .13338 .57756 L s .12963 .59452 m .13338 .59452 L s .12963 .00087 m .13338 .00087 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 .5 Mabswid .02381 .01472 m .12963 .60332 L .23545 .37612 L .34127 .33887 L .44709 .27126 L .55291 .53307 L .65873 .02721 L .76455 .42335 L .87037 .2951 L .97619 .38998 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgool0013oo`03003ooooo01Soo`03003ooooo03Koo`03003ooooo03Ko o`03003ooooo01[oo`03003ooooo01Woo`03003ooooo03Koo`03003ooooo00koo`004?oo00<00?oo ool06?oo00<00?ooool0S?oo00<00?ooool0Hooo000@ool00`00ooooo`0Hool00`00ooooo`2ool00`00ooooo`1Jool001Koo`03003ooooo01;oo`03003ooooo08Coo`03003ooooo 00ooo`03003ooooo05Woo`005_oo00<00?ooool04_oo00<00?ooool0Q?oo00<00?ooool03ooo00<0 0?ooool0FOoo000Fool00`00ooooo`0Bool20025ool00`00ooooo`0?ool00`00ooooo`1Iool001Oo o`03003ooooo017oo`03003ooooo08Coo`03003ooooo00ooo`03003ooooo05Woo`005ooo00<00?oo ool04Ooo00<00?ooool0Pooo00<00?ooool04Ooo00<00?ooool0F?oo000Bool20003ool20004ool4 0002ool30005ool00`00ooooo`23ool00`00ooooo`0Aool00`00ooooo`1Hool0017oo`04003ooooo 0002ool00`00ooooo`05ool00`00ooooo`04ool00`00ooooo`02ool00`00ooooo`23ool00`00oooo o`0Aool00`00ooooo`1Hool0017oo`04003ooooo0002ool00`00ooooo`05ool00`00ooooo`04ool0 0`00ooooo`02ool30023ool00`00ooooo`0Bool00`00ooooo`1Gool0017oo`04003ooooo0002ool0 0`00ooooo`05ool01000oooooooo0`001Ooo00<00?ooool0P_oo00<00?ooool04ooo00<00?ooool0 Eooo000Aool01000ooooo`000ooo00<00?ooool01?oo00D00?ooooooo`0000Ooo`03003ooooo08;o o`03003ooooo01?oo`03003ooooo05Ooo`004Ooo00@00?ooool000?oo`03003ooooo00;oo`<000?o o`03003ooooo00Goo`03003ooooo08;oo`03003ooooo01?oo`03003ooooo05Ooo`004_oo0P001?oo 00<00?ooool01?oo00@00?ooooooo`@000Coo`8008?oo`03003ooooo01Coo`03003ooooo05Koo`00 6?oo00<00?ooool04?oo00<00?ooool0P_oo00<00?ooool05?oo00<00?ooool0E_oo000Hool00`00 ooooo`0@ool00`00ooooo`21ool00`00ooooo`0Eool00`00ooooo`1Fool001Woo`03003ooooo00oo o`03003ooooo087oo`03003ooooo01Goo`03003ooooo05Koo`006Ooo00<00?ooool03ooo00<00?oo ool0POoo00<00?ooool05_oo00<00?ooool0EOoo000Iool00`00ooooo`0?ool20022ool00`00oooo o`0Fool00`00ooooo`1Eool001Woo`03003ooooo00ooo`03003ooooo087oo`03003ooooo01Koo`03 003ooooo05Goo`006Ooo00<00?ooool03ooo00<00?ooool0P?oo00<00?ooool05ooo00<00?ooool0 EOoo000Iool00`00ooooo`0?ool00`00ooooo`20ool00`00ooooo`0Hool00`00ooooo`1Dool001[o o`03003ooooo00koo`80087oo`03003ooooo01Soo`03003ooooo05Coo`006_oo00<00?ooool03_oo 00<00?ooool0P?oo00<00?ooool06?oo00<00?ooool0E?oo000Jool00`00ooooo`0>ool00`00oooo o`20ool00`00ooooo`0Hool00`00ooooo`1Dool001[oo`03003ooooo00koo`03003ooooo07ooo`03 003ooooo01[oo`03003ooooo05?oo`006_oo00<00?ooool03_oo00<00?ooool0Oooo00<00?ooool0 6_oo00<00?ooool0Dooo000Jool00`00ooooo`0>ool20020ool00`00ooooo`0Jool00`00ooooo`1C ool001_oo`03003ooooo00goo`03003ooooo07ooo`03003ooooo01[oo`03003ooooo05?oo`006ooo 00<00?ooool03Ooo00<00?ooool0O_oo00<00?ooool07?oo00<00?ooool0D_oo000ooo00<00?ooool06ooo00<00?ooool0 7ooo00<00?ooool08ooo00<00?ooool06_oo00<00?ooool03Ooo00<00?ooool08Ooo000Nool00`00 ooooo`0:ool00`00ooooo`0iool2000Nool00`00ooooo`0Oool00`00ooooo`0Sool00`00ooooo`0I ool00`00ooooo`0?ool00`00ooooo`0Pool001koo`03003ooooo00[oo`03003ooooo03Ooo`80027o o`03003ooooo01goo`03003ooooo02Goo`03003ooooo01Ooo`03003ooooo017oo`03003ooooo01oo o`007_oo00<00?ooool02_oo00<00?ooool0=Ooo0P008ooo00<00?ooool07Ooo00<00?ooool09Ooo 00<00?ooool05ooo00<00?ooool04_oo00<00?ooool07_oo000Nool00`00ooooo`0:ool2000dool2 000Uool00`00ooooo`0Mool00`00ooooo`0Uool00`00ooooo`0Fool00`00ooooo`0Dool00`00oooo o`0Mool001ooo`03003ooooo00Woo`03003ooooo033oo`<002Soo`03003ooooo01coo`03003ooooo 02Koo`03003ooooo01Coo`03003ooooo01Koo`8001goo`007ooo00<00?ooool02Ooo00<00?ooool0 ;_oo0P00:ooo00<00?ooool07?oo00<00?ooool09_oo00<00?ooool04ooo00<00?ooool06Ooo00<0 0?ooool06_oo000Hool20004ool20003ool40004ool00`00ooooo`0[ool3000^ool00`00ooooo`0J ool00`00ooooo`0Wool00`00ooooo`0Bool00`00ooooo`0Kool00`00ooooo`0Iool001Ooo`04003o oooo0004ool01@00oooooooo00001ooo0`00:?oo0`00_oo00<00?ooool06Ooo00<00?ooool0:?oo 00<00?ooool03_oo00<00?ooool08_oo00<00?ooool05Ooo000Gool01000ooooo`001Ooo00@00?oo ool000;oo`03003ooooo00;oo`03003ooooo01koo`<003goo`03003ooooo01Ooo`03003ooooo02Wo o`03003ooooo00goo`03003ooooo02Coo`03003ooooo01Coo`006?oo0P001_oo00@00?ooooooo`80 00Goo`8001goo`80043oo`03003ooooo01Ooo`03003ooooo02[oo`03003ooooo00_oo`03003ooooo 02Koo`8001Coo`008?oo00<00?ooool02?oo00<00?ooool06_oo0P00@_oo00<00?ooool05ooo00<0 0?ooool0:_oo00<00?ooool02_oo00<00?ooool0:Ooo00<00?ooool04Ooo000Pool00`00ooooo`08 ool00`00ooooo`0Jool00`00ooooo`12ool00`00ooooo`0Fool00`00ooooo`0Zool00`00ooooo`09 ool00`00ooooo`0[ool00`00ooooo`0@ool0027oo`03003ooooo00Ooo`03003ooooo01Woo`03003o oooo04?oo`03003ooooo01Goo`03003ooooo02_oo`03003ooooo00Woo`03003ooooo02coo`03003o oooo00ooo`008Ooo00<00?ooool01ooo00<00?ooool06Ooo00<00?ooool0A?oo00<00?ooool05?oo 00<00?ooool0;?oo00<00?ooool01ooo00<00?ooool0;_oo00<00?ooool03_oo000Qool00`00oooo o`07ool2000Iool00`00ooooo`15ool00`00ooooo`0Dool00`00ooooo`0/ool00`00ooooo`06ool0 0`00ooooo`10ool0027oo`03003ooooo00Ooo`03003ooooo01Soo`03003ooooo04Goo`03003ooooo 01Coo`03003ooooo02coo`03003ooooo00Goo`03003ooooo047oo`008Ooo00<00?ooool01ooo00<0 0?ooool05ooo00<00?ooool0Aooo00<00?ooool04ooo00<00?ooool0;?oo00<00?ooool01?oo00<0 0?ooool0@_oo000Qool00`00ooooo`07ool00`00ooooo`0Gool00`00ooooo`17ool00`00ooooo`0B ool00`00ooooo`0^ool00`00ooooo`02ool00`00ooooo`13ool002;oo`03003ooooo00Koo`8001Oo o`03003ooooo04Woo`03003ooooo017oo`03003ooooo02koo`05003oooooool00016ool002;oo`03 003ooooo00Koo`03003ooooo01Koo`03003ooooo04Woo`03003ooooo017oo`03003ooooo02koo`05 003oooooool00016ool002;oo`03003ooooo00Koo`03003ooooo01Goo`03003ooooo04[oo`03003o oooo017oo`03003ooooo02koo`04003ooooo0017ool002;oo`03003ooooo00Koo`03003ooooo01Go o`03003ooooo04_oo`03003ooooo013oo`03003ooooo02ooo`8004Soo`008_oo00<00?ooool01_oo 00<00?ooool05?oo00<00?ooool0C?oo00<00?ooool03ooo00<00?ooool0ool00`00ooooo`1jool0 02?oo`03003ooooo00Goo`03003ooooo01?oo`03003ooooo04koo`03003ooooo00koo`03003ooooo 07[oo`008ooo00<00?ooool01Ooo00<00?ooool04ooo00<00?ooool0C_oo00<00?ooool03_oo00<0 0?ooool0N_oo000_oo`00:Ooo00<00?oo00001Ooo00<00?ooool0k?oo 000Yool01000ool000001?oo00<00?ooool0k?oo000Yool00`00ool00004ool00`00ooooo`3]ool0 02Woo`03003oo`0000Coo`03003ooooo0>goo`00:Ooo00<00?oo00000ooo00<00?ooool0k_oo000Z ool20003ool00`00ooooo`3^ool002[oo`<00003ool00?oo0?3oo`00:_oo0P000_oo00<00?ooool0 kooo000Zool200000ooo003oo`3aool002[oo`800003ool00?oo0?7oo`00:_oo0`00looo000[ool2 003cool002_oo`03003ooooo0?;oo`00:ooo00<00?ooool0l_oo000"], ImageRangeCache->{{{101, 388}, {540.062, 363.125}} -> {-3.06941, 0.483481, 0.0350487, 0.00109331}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[StyleBox["Add some long-tailed noise"]], "Section"], Cell[BoxData[{\(<< Statistics`ContinuousDistributions`\), StyleBox[\(<< Graphics`Graphics`\)], \(<< Statistics`DataManipulation`\)}], "Input"], Cell[CellGroupData[{ Cell[BoxData[{ \(ed\ = \ LaplaceDistribution[0, .3]; \n noise\ = \ Table[Random[ed], {i, nrows}]; \nnmax\ = \ Max[noise]; \n nmin\ = \ Min[noise]; \ndn\ = \ \((nmax\ - \ nmin)\)/10; \n BarChart[BinCounts[noise, {nmin, nmax, dn}], PlotRange -> All]\), \(data\ = \ \ y\ + \ noise; \nListPlot[data, PlotJoined -> True]; \)}], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -0.0344995 0.0971817 0.0147151 0.0235442 [ [.06268 .00222 -3 -9 ] [.06268 .00222 3 0 ] [.15986 .00222 -3 -9 ] [.15986 .00222 3 0 ] [.25705 .00222 -3 -9 ] [.25705 .00222 3 0 ] [.35423 .00222 -3 -9 ] [.35423 .00222 3 0 ] [.45141 .00222 -3 -9 ] [.45141 .00222 3 0 ] [.54859 .00222 -3 -9 ] [.54859 .00222 3 0 ] [.64577 .00222 -3 -9 ] [.64577 .00222 3 0 ] [.74295 .00222 -3 -9 ] [.74295 .00222 3 0 ] [.84014 .00222 -3 -9 ] [.84014 .00222 3 0 ] [.93732 .00222 -6 -9 ] [.93732 .00222 6 0 ] [-0.00813 .13244 -6 -4.5 ] [-0.00813 .13244 0 4.5 ] [-0.00813 .25016 -12 -4.5 ] [-0.00813 .25016 0 4.5 ] [-0.00813 .36788 -12 -4.5 ] [-0.00813 .36788 0 4.5 ] [-0.00813 .4856 -12 -4.5 ] [-0.00813 .4856 0 4.5 ] [-0.00813 .60332 -12 -4.5 ] [-0.00813 .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 .06268 .01472 m .06268 .02097 L s [(1)] .06268 .00222 0 1 Mshowa .15986 .01472 m .15986 .02097 L s [(2)] .15986 .00222 0 1 Mshowa .25705 .01472 m .25705 .02097 L s [(3)] .25705 .00222 0 1 Mshowa .35423 .01472 m .35423 .02097 L s [(4)] .35423 .00222 0 1 Mshowa .45141 .01472 m .45141 .02097 L s [(5)] .45141 .00222 0 1 Mshowa .54859 .01472 m .54859 .02097 L s [(6)] .54859 .00222 0 1 Mshowa .64577 .01472 m .64577 .02097 L s [(7)] .64577 .00222 0 1 Mshowa .74295 .01472 m .74295 .02097 L s [(8)] .74295 .00222 0 1 Mshowa .84014 .01472 m .84014 .02097 L s [(9)] .84014 .00222 0 1 Mshowa .93732 .01472 m .93732 .02097 L s [(10)] .93732 .00222 0 1 Mshowa 0 .01472 m 1 .01472 L s .00437 .13244 m .01062 .13244 L s [(5)] -0.00813 .13244 1 0 Mshowa .00437 .25016 m .01062 .25016 L s [(10)] -0.00813 .25016 1 0 Mshowa .00437 .36788 m .01062 .36788 L s [(15)] -0.00813 .36788 1 0 Mshowa .00437 .4856 m .01062 .4856 L s [(20)] -0.00813 .4856 1 0 Mshowa .00437 .60332 m .01062 .60332 L s [(25)] -0.00813 .60332 1 0 Mshowa .125 Mabswid .00437 .03826 m .00812 .03826 L s .00437 .0618 m .00812 .0618 L s .00437 .08535 m .00812 .08535 L s .00437 .10889 m .00812 .10889 L s .00437 .15598 m .00812 .15598 L s .00437 .17952 m .00812 .17952 L s .00437 .20307 m .00812 .20307 L s .00437 .22661 m .00812 .22661 L s .00437 .2737 m .00812 .2737 L s .00437 .29724 m .00812 .29724 L s .00437 .32079 m .00812 .32079 L s .00437 .34433 m .00812 .34433 L s .00437 .39142 m .00812 .39142 L s .00437 .41497 m .00812 .41497 L s .00437 .43851 m .00812 .43851 L s .00437 .46205 m .00812 .46205 L s .00437 .50914 m .00812 .50914 L s .00437 .53269 m .00812 .53269 L s .00437 .55623 m .00812 .55623 L s .00437 .57977 m .00812 .57977 L s .25 Mabswid .00437 0 m .00437 .61803 L s 1 0 0 r .02381 .01472 m .02381 .08535 L .10155 .08535 L .10155 .01472 L F 0 g .5 Mabswid .02381 .01472 m .02381 .08535 L .10155 .08535 L .10155 .01472 L .02381 .01472 L s 1 0 0 r .12099 .01472 m .12099 .03826 L .19874 .03826 L .19874 .01472 L F 0 g .12099 .01472 m .12099 .03826 L .19874 .03826 L .19874 .01472 L .12099 .01472 L s 1 0 0 r .21817 .01472 m .21817 .10889 L .29592 .10889 L .29592 .01472 L F 0 g .21817 .01472 m .21817 .10889 L .29592 .10889 L .29592 .01472 L .21817 .01472 L s 1 0 0 r .31535 .01472 m .31535 .22661 L .3931 .22661 L .3931 .01472 L F 0 g .31535 .01472 m .31535 .22661 L .3931 .22661 L .3931 .01472 L .31535 .01472 L s 1 0 0 r .41254 .01472 m .41254 .4856 L .49028 .4856 L .49028 .01472 L F 0 g .41254 .01472 m .41254 .4856 L .49028 .4856 L .49028 .01472 L .41254 .01472 L s 1 0 0 r .50972 .01472 m .50972 .60332 L .58746 .60332 L .58746 .01472 L F 0 g .50972 .01472 m .50972 .60332 L .58746 .60332 L .58746 .01472 L .50972 .01472 L s 1 0 0 r .6069 .01472 m .6069 .4856 L .68465 .4856 L .68465 .01472 L F 0 g .6069 .01472 m .6069 .4856 L .68465 .4856 L .68465 .01472 L .6069 .01472 L s 1 0 0 r .70408 .01472 m .70408 .10889 L .78183 .10889 L .78183 .01472 L F 0 g .70408 .01472 m .70408 .10889 L .78183 .10889 L .78183 .01472 L .70408 .01472 L s 1 0 0 r .80126 .01472 m .80126 .22661 L .87901 .22661 L .87901 .01472 L F 0 g .80126 .01472 m .80126 .22661 L .87901 .22661 L .87901 .01472 L .80126 .01472 L s 1 0 0 r .89845 .01472 m .89845 .10889 L .97619 .10889 L .97619 .01472 L F 0 g .89845 .01472 m .89845 .10889 L .97619 .10889 L .97619 .01472 L .89845 .01472 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg"], ImageRangeCache->{{{101, 388}, {338.062, 161.125}} -> {-4.02214, 23.233, 0.0378456, 0.156212}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], 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 /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.00952381 0.0553729 0.262414 [ [.21429 .04287 -6 -9 ] [.21429 .04287 6 0 ] [.40476 .04287 -6 -9 ] [.40476 .04287 6 0 ] [.59524 .04287 -6 -9 ] [.59524 .04287 6 0 ] [.78571 .04287 -6 -9 ] [.78571 .04287 6 0 ] [.97619 .04287 -9 -9 ] [.97619 .04287 9 0 ] [.01131 .18658 -18 -4.5 ] [.01131 .18658 0 4.5 ] [.01131 .31779 -6 -4.5 ] [.01131 .31779 0 4.5 ] [.01131 .44899 -18 -4.5 ] [.01131 .44899 0 4.5 ] [.01131 .5802 -6 -4.5 ] [.01131 .5802 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 .21429 .05537 m .21429 .06162 L s [(20)] .21429 .04287 0 1 Mshowa .40476 .05537 m .40476 .06162 L s [(40)] .40476 .04287 0 1 Mshowa .59524 .05537 m .59524 .06162 L s [(60)] .59524 .04287 0 1 Mshowa .78571 .05537 m .78571 .06162 L s [(80)] .78571 .04287 0 1 Mshowa .97619 .05537 m .97619 .06162 L s [(100)] .97619 .04287 0 1 Mshowa .125 Mabswid .07143 .05537 m .07143 .05912 L s .11905 .05537 m .11905 .05912 L s .16667 .05537 m .16667 .05912 L s .2619 .05537 m .2619 .05912 L s .30952 .05537 m .30952 .05912 L s .35714 .05537 m .35714 .05912 L s .45238 .05537 m .45238 .05912 L s .5 .05537 m .5 .05912 L s .54762 .05537 m .54762 .05912 L s .64286 .05537 m .64286 .05912 L s .69048 .05537 m .69048 .05912 L s .7381 .05537 m .7381 .05912 L s .83333 .05537 m .83333 .05912 L s .88095 .05537 m .88095 .05912 L s .92857 .05537 m .92857 .05912 L s .25 Mabswid 0 .05537 m 1 .05537 L s .02381 .18658 m .03006 .18658 L s [(0.5)] .01131 .18658 1 0 Mshowa .02381 .31779 m .03006 .31779 L s [(1)] .01131 .31779 1 0 Mshowa .02381 .44899 m .03006 .44899 L s [(1.5)] .01131 .44899 1 0 Mshowa .02381 .5802 m .03006 .5802 L s [(2)] .01131 .5802 1 0 Mshowa .125 Mabswid .02381 .08161 m .02756 .08161 L s .02381 .10786 m .02756 .10786 L s .02381 .1341 m .02756 .1341 L s .02381 .16034 m .02756 .16034 L s .02381 .21282 m .02756 .21282 L s .02381 .23906 m .02756 .23906 L s .02381 .2653 m .02756 .2653 L s .02381 .29155 m .02756 .29155 L s .02381 .34403 m .02756 .34403 L s .02381 .37027 m .02756 .37027 L s .02381 .39651 m .02756 .39651 L s .02381 .42275 m .02756 .42275 L s .02381 .47524 m .02756 .47524 L s .02381 .50148 m .02756 .50148 L s .02381 .52772 m .02756 .52772 L s .02381 .55396 m .02756 .55396 L s .02381 .02913 m .02756 .02913 L s .02381 .00289 m .02756 .00289 L s .02381 .60644 m .02756 .60644 L s .25 Mabswid .02381 0 m .02381 .61803 L s 0 0 m 1 0 L 1 .61803 L 0 .61803 L closepath clip newpath .5 Mabswid .03333 .32504 m .04286 .34825 L .05238 .41945 L .0619 .41437 L .07143 .42567 L .08095 .3868 L .09048 .25835 L .1 .36471 L .10952 .37209 L .11905 .48888 L .12857 .30047 L .1381 .39812 L .14762 .40522 L .15714 .27325 L .16667 .29139 L .17619 .2414 L .18571 .3668 L .19524 .3382 L .20476 .28641 L .21429 .36803 L .22381 .40912 L .23333 .54148 L .24286 .15126 L .25238 .32868 L .2619 .27738 L .27143 .28026 L .28095 .24476 L .29048 .361 L .3 .30523 L .30952 .32076 L .31905 .52223 L .32857 .60332 L .3381 .35221 L .34762 .33066 L .35714 .32811 L .36667 .23142 L .37619 .40836 L .38571 .27529 L .39524 .24718 L .40476 .56169 L .41429 .19862 L .42381 .35223 L .43333 .42281 L .44286 .26051 L .45238 .26833 L .4619 .35969 L .47143 .39313 L .48095 .35217 L .49048 .53294 L .5 .29942 L Mistroke .50952 .3374 L .51905 .52882 L .52857 .32456 L .5381 .42848 L .54762 .34531 L .55714 .56749 L .56667 .42035 L .57619 .27811 L .58571 .17924 L .59524 .39484 L .60476 .07313 L .61429 .01472 L .62381 .43153 L .63333 .40491 L .64286 .45482 L .65238 .28589 L .6619 .03522 L .67143 .33402 L .68095 .34487 L .69048 .34087 L .7 .24791 L .70952 .4584 L .71905 .35244 L .72857 .25704 L .7381 .33448 L .74762 .49978 L .75714 .21578 L .76667 .29053 L .77619 .49606 L .78571 .54308 L .79524 .27007 L .80476 .13904 L .81429 .41915 L .82381 .22774 L .83333 .26334 L .84286 .12086 L .85238 .57091 L .8619 .28378 L .87143 .28698 L .88095 .36 L .89048 .52969 L .9 .36673 L .90952 .35606 L .91905 .17395 L .92857 .37567 L .9381 .39618 L .94762 .03889 L .95714 .41221 L .96667 .23039 L .97619 .42076 L Mistroke Mfstroke % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg?oo00<0 0?ooool0GOoo00<00?ooool00_oo00<00?ooool02?oo00<00?oo00009?oo00<00?ooool01ooo0P00 6_oo00<00?oo00004?oo000Eool2000iool00`00ooooo`1Mool00`00ooooo`02ool00`00ooooo`08 ool00`00ool0000Tool00`00ooooo`07ool2000Jool00`00ool0000@ool001Goo`03003ooooo03So o`03003ooooo05goo`03003ooooo00;oo`03003ooooo00Ooo`04003ooooo000Tool00`00ooooo`07 ool2000Jool00`00ool0000@ool001Goo`03003ooooo03Soo`03003ooooo05goo`03003ooooo00;o o`03003ooooo00Ooo`04003ooooo000Tool00`00ooooo`07ool2000Jool00`00ool0000@ool001Go o`03003ooooo03Soo`03003ooooo05goo`03003ooooo00;oo`03003ooooo00Ooo`04003ooooo000T ool00`00ooooo`07ool2000Jool00`00ool0000@ool001Goo`03003ooooo03Soo`03003ooooo05go o`03003ooooo00;oo`03003ooooo00Ooo`04003ooooo000Sool20009ool2000Cool00`00ooooo`04 ool00`00ool0000@ool001Goo`03003ooooo03Soo`03003ooooo05Woo`05003oooooool00004ool0 0`00ooooo`07ool01000ooooo`008ooo0P002Ooo0P004ooo00<00?ooool01?oo00<00?oo00004?oo 0002ool20004ool00`00ooooo`02ool30005ool00`00ooooo`0hool00`00ooooo`1Iool01@00oooo oooo00001?oo00<00?ooool01ooo00@00?ooool002?oo`8000Woo`8001?oo`03003ooooo00Coo`03 003oo`00013oo`0000Goo`00ooooo`0000_oo`03003ooooo00;oo`<003Soo`03003ooooo05Woo`05 003oooooool00004ool00`00ooooo`07ool01000ooooo`008ooo00<00?oo00002?oo0P004ooo00<0 0?ooool01?oo00<00?oo00004?oo00001Ooo003ooooo00002ooo00<00?ooool00_oo00<00?ooool0 >?oo00<00?ooool0FOoo00D00?ooooooo`0000Coo`03003ooooo00Ooo`04003ooooo000Sool00`00 ool00008ool2000Cool00`00ooooo`04ool00`00ool0000@ool00005ool00?ooool00008ool30005 ool00`00ooooo`0hool00`00ooooo`1Iool01@00oooooooo00001?oo00<00?ooool01ooo00@00?oo ool002?oo`03003oo`0000Ooo`03003oo`0001?oo`03003ooooo00Coo`03003oo`00013oo`0000Go o`00ooooo`0000Soo`03003ooooo00Goo`03003ooooo03Soo`8002coo`03003ooooo02_oo`05003o ooooool00004ool00`00ooooo`07ool01000ooooo`008ooo00<00?oo00001ooo00<00?oo00004ooo 00<00?ooool01?oo00<00?oo00004?oo00001Ooo003ooooo00002?oo00<00?ooool01Ooo00<00?oo ool0>?oo0P00;?oo00<00?ooool0:ooo00D00?ooooooo`0000Coo`03003ooooo00Ooo`04003ooooo 000Sool00`00ool00007ool00`00ool0000Cool00`00ooooo`04ool00`00ool0000@ool000;oo`80 00Woo`@000Coo`03003ooooo03Soo`8002coo`03003ooooo02[oo`8000?oo`03003ooooo00;oo`03 003ooooo00Ooo`04003ooooo000Sool00`00ool00007ool00`00ool0000Cool00`00ooooo`04ool0 0`00ool0000@ool001Goo`03003ooooo03Soo`8002coo`03003ooooo02[oo`8000?oo`03003ooooo 00;oo`03003ooooo00Ooo`04003ooooo000Sool00`00ool00007ool00`00ool0000Cool00`00oooo o`04ool00`00ool0000@ool001Goo`8003Woo`8002coo`03003ooooo02[oo`8000?oo`03003ooooo 00;oo`03003ooooo00Ooo`04003ooooo000Sool00`00ool00007ool00`00ool0000Cool20005ool0 0`00ool0000@ool001Goo`03003ooooo03Soo`8002coo`03003ooooo02[oo`03003oo`0000;oo`03 003ooooo00;oo`03003ooooo00Ooo`04003ooooo000Gool00`00ooooo`09ool00`00ool00007ool0 0`00ool0000Cool20005ool00`00ool0000@ool001Goo`03003ooooo03Ooo`03003oo`0002coo`03 003ooooo02[oo`03003oo`0000;oo`03003ooooo00;oo`03003ooooo00Ooo`04003ooooo000Gool0 0`00ooooo`09ool00`00ool00007ool00`00ool0000Cool20004ool01000ooooo`004?oo000Eool0 0`00ooooo`0gool00`00ool0000/ool00`00ooooo`0Zool00`00ool00002ool00`00ooooo`02ool0 0`00ooooo`07ool01000ooooo`005ooo00<00?ooool02Ooo00<00?oo00001ooo00<00?oo00004_oo 00<00?oo00001?oo00@00?ooool0013oo`005Ooo00<00?ooool0=ooo00<00?oo0000;?oo0P00:ooo 00<00?oo00000_oo00<00?ooool00ooo00<00?ooool01_oo00@00?ooool001Ooo`03003ooooo00Wo o`03003oo`0000?oo`07003oooooool00?oo00004_oo00<00?oo00001?oo00@00?ooool0013oo`00 5Ooo00<00?ooool0=ooo00<00?oo00007ooo00<00?ooool02_oo0P00:ooo00<00?oo00000_oo00<0 0?ooool00ooo00<00?ooool01_oo00@00?ooool001Ooo`8000[oo`03003oo`0000?oo`07003ooooo ool00?oo00004_oo00<00?oo00001?oo00@00?ooool000?oo`03003ooooo00[oo`005Ooo00<00?oo ool0=ooo00<00?oo00007ooo00<00?ooool02_oo0P00:ooo00<00?oo00000_oo00<00?ooool00ooo 00<00?ooool01_oo00@00?ooool001Ooo`8000[oo`03003oo`0000?oo`8000;oo`04003ooooo000A ool00`00ool00004ool01000ooooo`000ooo00<00?ooool02_oo000Eool2000hool00`00ool0000O ool00`00ooooo`0:ool2000[ool00`00ool00002ool00`00ooooo`03ool00`00ooooo`06ool01000 ooooo`005ooo0P002_oo00<00?oo00000ooo0P000_oo00@00?ooool0017oo`03003oo`0000Coo`04 003ooooo0003ool00`00ooooo`0:ool001Goo`03003ooooo02Koo`03003ooooo00koo`03003oo`00 01ooo`03003ooooo00[oo`8002_oo`03003oo`0000;oo`03003ooooo00?oo`03003ooooo00Koo`04 003ooooo000Gool20009ool01000ooooo`000ooo0P0000?oo`00ool00_oo00<00?ooool03ooo00<0 0?oo00001?oo00@00?ooool000?oo`03003ooooo00[oo`005Ooo00<00?ooool09_oo00<00?ooool0 3_oo00<00?oo00002?oo00<00?ooool05?oo00<00?ooool01Ooo00<00?ooool00_oo0P00:ooo00<0 0?oo00000_oo00<00?ooool00ooo00<00?ooool01Ooo00D00?ooooooo`0001Ooo`8000Woo`04003o oooo0003ool200000ooo003oo`02ool00`00ooooo`0?ool00`00ool00004ool01000ooooo`000ooo 00<00?ooool02_oo000Eool00`00ooooo`0Vool00`00ooooo`0>ool00`00ool00008ool00`00oooo o`0Dool00`00ooooo`05ool00`00ooooo`02ool2000[ool00`00ool00002ool00`00ooooo`03ool0 0`00ooooo`05ool01@00oooooooo00002?oo00<00?ooool03?oo0P002Ooo00@00?ooool000?oo`04 003oo`000003ool00`00ooooo`0?ool00`00ool00004ool01000ooooo`000ooo00<00?ooool02_oo 000Eool00`00ooooo`0Uool2000@ool00`00ool00008ool00`00ooooo`0Dool00`00ooooo`04ool2 0004ool2000[ool00`00ool00002ool00`00ooooo`03ool00`00ooooo`05ool01@00oooooooo0000 2?oo00<00?ooool03?oo0P002Ooo00@00?ooool000?oo`04003oo`000003ool00`00ooooo`0?ool0 0`00ool00004ool01000ooooo`000ooo00<00?ooool02_oo000Eool00`00ooooo`0?ool00`00oooo o`0Cool2000@ool00`00ool00007ool2000Eool20006ool20004ool2000Zool01000ooooo`000_oo 00<00?ooool00ooo00<00?ooool01Ooo00D00?ooooooo`0000Soo`03003ooooo00Goo`03003ooooo 00Coo`03003oo`0000Soo`04003ooooo0003ool01000ool000000ooo00<00?ooool03ooo00<00?oo 00001?oo00@00?ooool000?oo`03003ooooo00[oo`005Ooo00<00?ooool03ooo00<00?ooool04ooo 0P004?oo00<00?oo00001ooo0P005Ooo0P001_oo0P001?oo0P001_oo00<00?ooool08Ooo00@00?oo ool000;oo`03003ooooo00?oo`03003ooooo00Goo`03003ooooo00;oo`03003ooooo00Goo`03003o oooo00Goo`03003ooooo00Coo`03003oo`0000Soo`04003ooooo0003ool01000ooooo`000ooo00<0 0?ooool03ooo00<00?oo00001?oo00@00?ooool000?oo`03003ooooo00[oo`005Ooo0P004?oo00<0 0?ooool04ooo0P004?oo00<00?oo00001ooo0P005Ooo00<00?oo00001?oo00<00?oo00001?oo0P00 1_oo0P008_oo00@00?ooool000;oo`03003ooooo00?oo`03003ooooo00Goo`03003ooooo00;oo`03 003ooooo00Goo`03003ooooo00Goo`03003ooooo00Coo`03003oo`0000Soo`04003ooooo0003ool0 1000ooooo`000ooo00<00?ooool03ooo00<00?oo00001?oo00@00?ooool000;oo`03003oo`0000_o o`005Ooo00<00?ooool03ooo00<00?ooool04_oo00<00?oo00004?oo00<00?oo00001ooo00<00?oo 00005?oo00<00?oo00001?oo00<00?oo00001?oo0P001_oo00<00?oo00008Ooo00@00?ooool000;o o`03003ooooo00?oo`03003ooooo00Goo`03003ooooo00;oo`03003ooooo00Goo`03003ooooo00Go o`03003ooooo00Coo`03003oo`0000Soo`04003ooooo0003ool00`00ooooo`04ool00`00ooooo`0? ool00`00ool00004ool01000ooooo`000_oo00<00?oo00002ooo000Eool00`00ooooo`0?ool00`00 ooooo`0?ool01P00ooooo`00ool0013oo`03003oo`0000Koo`04003ooooo000Dool00`00ool00003 ool01000ooooo`001?oo0P001_oo00<00?oo00008Ooo00@00?ooool000;oo`03003ooooo00?oo`03 003ooooo00Goo`03003ooooo00;oo`03003ooooo00Goo`03003ooooo00Goo`03003ooooo00Coo`03 003oo`0000Soo`04003ooooo0003ool00`00ooooo`04ool00`00ooooo`0?ool00`00ool00004ool0 1000ooooo`000_oo00<00?oo00002ooo000Eool00`00ooooo`0?ool00`00ooooo`0?ool01000oooo o`000_oo00<00?ooool03Ooo00<00?oo00001_oo00@00?ooool001Coo`03003oo`0000?oo`04003o oooo0004ool20006ool00`00ool0000Qool01000ooooo`000_oo00<00?ooool00ooo00<00?ooool0 1Ooo00<00?ooool00_oo00<00?ooool01?oo0P001_oo0P001_oo00<00?oo00002?oo00@00?ooool0 00?oo`03003ooooo00Coo`03003ooooo00ooo`03003oo`0000Coo`04003ooooo0002ool00`00ool0 000;ool001Goo`03003ooooo00koo`80017oo`800005ool00?ooool0000?ool00`00ool00003ool4 0002ool00`00ooooo`0Bool00`00ool00003ool01000ooooo`001?oo00<00?oo00001Ooo00<00?oo 00008Ooo00@00?ooool000;oo`03003ooooo00?oo`03003ooooo00Goo`03003ooooo00;oo`03003o oooo00Coo`8000Koo`03003oo`0000Goo`04003ooooo0007ool01000ooooo`000_oo00<00?ooool0 1Ooo00<00?ooool03ooo00@00?ooool000?oo`04003ooooo0002ool00`00ool0000;ool001Goo`03 003ooooo00koo`80017oo`<000?oo`03003ooooo00goo`03003oo`0000?oo`03003ooooo00?oo`03 003ooooo01;oo`03003oo`0000?oo`04003ooooo0004ool00`00ool00005ool00`00ool0000Qool0 1000ooooo`000_oo00<00?ooool00ooo00<00?ooool01Ooo00<00?ooool00_oo00<00?ooool01?oo 0P001_oo00<00?oo00001Ooo00@00?ooool000Ooo`07003oooooool00?oo00001ooo00D00?oooooo o`0000goo`04003ooooo0003ool01000ooooo`000_oo00<00?oo00002ooo000Eool00`00ooooo`0> ool00`00ool0000@ool00`00ool00003ool00`00ooooo`04ool00`00ooooo`06ool01000ooooo`00 0_oo00<00?ooool00ooo00<00?ooool04_oo00<00?oo00000ooo00@00?ooool000Coo`03003oo`00 00Goo`04003ooooo000Pool01000ooooo`000_oo00<00?ooool00ooo00<00?ooool01Ooo00<00?oo ool00_oo00<00?ooool01?oo00<00?oo00001Ooo00<00?oo00001Ooo00@00?ooool000Ooo`07003o ooooool00?oo00001ooo00@00?ooooooo`<000_oo`04003ooooo0003ool01000ooooo`000_oo00<0 0?oo00002ooo000Eool2000?ool00`00ool0000@ool00`00ool00003ool00`00ooooo`04ool00`00 ooooo`06ool01P00ooooo`00ool000Koo`03003ooooo01;oo`03003oo`0000?oo`04003ooooo0003 ool01000ooooo`001?oo00D00?ooooooo`00023oo`07003oooooool00?oo00001Ooo00<00?ooool0 1Ooo00<00?ooool00_oo00<00?ooool01?oo00<00?oo00001Ooo00<00?oo00001?oo00D00?oooooo o`0000Ooo`07003oooooool00?oo00001ooo00L00?ooooooo`00ool0000;ool01000ooooo`000ooo 00@00?ooool000;oo`03003oo`0000_oo`005Ooo00<00?ooool03_oo00<00?oo00004?oo00<00?oo ool00ooo00<00?ooool01?oo00<00?ooool01_oo00H00?ooool00?oo0006ool00`00ooooo`0Bool0 0`00ool00003ool01000ooooo`000ooo00@00?ooool000Coo`05003oooooool0000Pool01`00oooo oooo003oo`0000Goo`03003ooooo00Goo`03003ooooo00;oo`03003ooooo00Coo`03003oo`0000Go o`03003oo`0000Coo`05003oooooool00007ool01`00oooooooo003oo`0000Ooo`07003oooooool0 0?oo00002ooo00@00?ooool000?oo`04003ooooo0002ool00`00ool0000;ool001Goo`03003ooooo 00koo`03003oo`0000ooo`03003ooooo00Coo`03003ooooo00?oo`8000Soo`06003ooooo003oo`00 1_oo00<00?ooool04_oo00<00?oo00000ooo00@00?ooool000?oo`04003ooooo0004ool01@00oooo oooo00002ooo00<00?ooool04_oo00L00?ooooooo`00ool00005ool00`00ooooo`05ool00`00oooo o`02ool00`00ooooo`04ool00`00ool00005ool00`00ool00004ool01@00oooooooo00001ooo00L0 0?ooooooo`00ool00007ool01`00oooooooo003oo`0000_oo`04003ooooo0003ool01000ooooo`00 0_oo00<00?oo00002ooo000Eool00`00ooooo`0>ool00`00ool00008ool00`00ooooo`04ool00`00 ooooo`04ool00`00ooooo`03ool20008ool01P00ooooo`00ool000Koo`03003ooooo01;oo`03003o o`0000?oo`05003oooooool00002ool01000ooooo`001?oo00D00?ooooooo`0000_oo`03003ooooo 01;oo`07003oooooool00?oo00001Ooo00<00?ooool01Ooo00<00?ooool00_oo00<00?ooool01?oo 00<00?oo00001Ooo00<00?oo00001?oo00D00?ooooooo`0000Ooo`07003oooooool00?oo00001ooo 00D00?ooooooo`0000;oo`03003ooooo00Soo`04003ooooo0003ool01000ooooo`000_oo00<00?oo 00002ooo000Eool00`00ooooo`0>ool00`00ool00008ool00`00ooooo`04ool00`00ooooo`04ool0 0`00ooooo`03ool20008ool00`00ooooo`020008ool01000ooooo`003ooo00@00?ooool000?oo`05 003oooooool00002ool01000ooooo`001?oo00D00?ooooooo`0000_oo`8001;oo`03003ooooo00;o o`03003oo`0000Goo`03003ooooo00Goo`03003ooooo00;oo`03003ooooo00Coo`03003oo`0000Go o`03003oo`0000Coo`05003oooooool00007ool01`00oooooooo003oo`0000Ooo`05003oooooool0 0002ool00`00ooooo`08ool01000ooooo`000ooo00@00?ooool000;oo`03003oo`0000_oo`005Ooo 00<00?ooool03_oo00<00?oo00002?oo00<00?ooool01?oo00<00?ooool01?oo00<00?ooool00ooo 00<00?oo00001ooo00<00?ooool00P002?oo00<00?ooool00P003_oo00@00?ooool000?oo`05003o ooooool00002ool01000ooooo`001?oo00D00?ooooooo`0000_oo`8001;oo`03003ooooo00;oo`03 003oo`0000Goo`03003ooooo00Goo`03003ooooo00;oo`03003ooooo00Coo`03003oo`0000Coo`04 003ooooo0004ool01@00oooooooo00001ooo00L00?ooooooo`00ool00007ool01@00oooooooo0000 0_oo00<00?ooool02?oo00@00?ooool000?oo`04003ooooo0002ool00`00ool0000;ool000goo`@0 00Coo`03003ooooo00koo`03003oo`0000Soo`03003ooooo00Coo`03003ooooo00Coo`03003ooooo 00?oo`03003oo`0000Ooo`03003ooooo008000Soo`03003ooooo008000koo`04003ooooo0002ool0 0`00ooooo`02ool01000ooooo`000_oo00<00?ooool00_oo00D00?ooooooo`0000_oo`8001;oo`03 003ooooo00;oo`03003oo`0000Goo`03003ooooo00Goo`03003ooooo00;oo`03003ooooo00Coo`03 003oo`0000Coo`04003ooooo0004ool01@00oooooooo00001ooo00L00?ooooooo`00ool00007ool0 1@00oooooooo00000_oo00<00?ooool01ooo00D00?ooooooo`0000?oo`04003ooooo0002ool00`00 ool0000;ool000ooo`03003ooooo00?oo`<000koo`03003oo`0000Soo`03003ooooo00Coo`03003o oooo00Coo`03003ooooo00;oo`04003ooooo0007ool00`00ooooo`020008ool01P00ooooo`00ool0 00goo`04003ooooo0002ool00`00ooooo`02ool01000ooooo`000_oo00<00?ooool00_oo00<00?oo ool00_oo00<00?ooool02?oo0P004_oo00<00?ooool00_oo0P001_oo00<00?ooool01Ooo00<00?oo ool00_oo00<00?ooool01?oo00<00?oo00001?oo00D00?ooooooo`0000?oo`05003oooooool00007 ool01`00oooooooo003oo`0000Ooo`05003oooooool00002ool00`00ooooo`07ool01@00oooooooo 00000ooo00@00?ooool000;oo`03003oo`0000_oo`003ooo00<00?ooool00ooo00<00?ooool03_oo 00<00?oo00002?oo0P001Ooo00<00?ooool01?oo00<00?ooool00_oo00@00?ooool000Ooo`04003o oooo0009ool00`00ool00003ool00`00ooooo`0:ool01000ooooo`000_oo00<00?ooool00_oo00@0 0?ooool000;oo`03003ooooo00;oo`03003ooooo00;oo`03003ooooo00Soo`03003oo`00017oo`03 003ooooo00;oo`8000Koo`03003ooooo00Goo`03003ooooo00;oo`03003ooooo00?oo`04003ooooo 0004ool01@00oooooooo00000ooo00D00?ooooooo`0000Koo`03003ooooo00;oo`03003oo`0000Oo o`05003oooooool00002ool00`00ooooo`07ool01@00oooooooo00000ooo00T00?ooooooo`00ool0 0?oo00002ooo000?ool00`00ooooo`03ool00`00ool0000=ool01000ooooo`002?oo0P001Ooo00<0 0?ooool01?oo00<00?ooool00_oo00@00?ooool000Ooo`04003ooooo0009ool00`00ool00003ool0 0`00ooooo`0:ool01`00oooooooo003oo`0000Coo`04003ooooo0002ool00`00ooooo`02ool00`00 ooooo`02ool00`00ooooo`08ool00`00ool00005ool00`00ooooo`09ool00`00ooooo`02ool20006 ool00`00ooooo`05ool00`00ooooo`02ool00`00ooooo`03ool01000ooooo`001?oo00D00?oooooo o`0000?oo`05003oooooool00006ool00`00ooooo`02ool00`00ool00007ool01@00oooooooo0000 0_oo00<00?ooool01ooo00D00?ooooooo`0000?oo`04003oooooool20002ool00`00ooooo`09ool0 00ooo`03003ooooo00?oo`03003oo`0000goo`04003ooooo0008ool20005ool00`00ooooo`04ool0 0`00ooooo`02ool01000ooooo`001ooo00@00?ooool000Woo`03003oo`0000?oo`03003ooooo00Wo o`8000?oo`03003oo`0000Coo`04003ooooo0002ool00`00ooooo`02ool00`00ooooo`02ool00`00 ooooo`08ool00`00ool00005ool00`00ooooo`09ool00`00ooooo`02ool20006ool00`00ooooo`05 ool00`00ooooo`02ool00`00ooooo`03ool01000ooooo`001?oo00D00?ooooooo`0000?oo`03003o oooo00;oo`03003ooooo00?oo`03003ooooo00;oo`03003oo`0000Ooo`05003oooooool00003ool0 0`00ooooo`06ool01@00oooooooo00000ooo00@00?ooooooo`8000?oo`03003ooooo00Soo`003Ooo 0`001Ooo00@00?ooool000coo`04003ooooo0008ool20005ool00`00ooooo`04ool01@00oooooooo 00000ooo00<00?ooool01Ooo00<00?ooool02_oo00<00?oo00000ooo00<00?ooool01ooo0P001Ooo 00<00?oo00001?oo00@00?ooool000?oo`05003oooooool00004ool00`00ooooo`08ool00`00ool0 0005ool00`00ooooo`09ool00`00ooooo`02ool20006ool00`00ooooo`04ool00`00ooooo`03ool0 0`00ooooo`03ool01000ooooo`001?oo00D00?ooooooo`0000?oo`03003ooooo00;oo`03003ooooo 00?oo`03003ooooo00;oo`03003oo`0000Ooo`05003oooooool00003ool00`00ooooo`06ool01@00 oooooooo00000ooo00@00?ooooooo`8000?oo`03003ooooo00Soo`003ooo00<00?ooool00ooo00@0 0?ooool000coo`04003ooooo0008ool20005ool00`00ooooo`04ool01@00oooooooo00000ooo00<0 0?ooool01Ooo00<00?ooool02_oo00<00?oo00000ooo00<00?ooool01ooo00<00?ooool01?oo00<0 0?oo00001?oo00@00?ooool000?oo`05003oooooool00004ool00`00ooooo`08ool01000ooooo`00 1?oo00<00?ooool02Ooo00<00?ooool00_oo0P001_oo00<00?ooool01?oo00<00?ooool00ooo00<0 0?ooool00ooo00@00?ooool000Coo`05003oooooool00003ool00`00ooooo`02ool00`00ooooo`03 ool00`00ooooo`02ool00`00ool00007ool01000ooooo`001?oo00<00?ooool01_oo00D00?oooooo o`0000?oo`04003oooooool20003ool00`00ooooo`08ool001Goo`05003oooooool0000;ool01@00 oooooooo00001ooo0P001Ooo00<00?ooool01Ooo00@00?ooool000?oo`03003ooooo00Goo`03003o oooo00[oo`03003oo`0000?oo`03003ooooo00Koo`03003ooooo00Goo`03003oo`0000Coo`04003o oooo0003ool01@00oooooooo00001?oo00<00?ooool02?oo00@00?ooool000Coo`03003ooooo00Wo o`03003ooooo00;oo`8000Koo`03003ooooo00Coo`03003ooooo00Coo`03003ooooo00;oo`04003o oooo0003ool00`00ooooo`02ool01@00oooooooo00001?oo00<00?ooool00ooo00<00?ooool00_oo 00<00?oo00001ooo00@00?ooool000Coo`03003ooooo00Koo`05003oooooool00002ool00`00oooo o`02ool20003ool00`00ooooo`08ool001Goo`8000;oo`03003ooooo00Woo`05003oooooool00007 ool20004ool00`00ooooo`06ool01000ooooo`000ooo00<00?ooool01Ooo00<00?ooool02ooo0P00 0ooo00<00?ooool01_oo00<00?ooool01Ooo00<00?oo00001?oo00@00?ooool000?oo`05003ooooo ool00004ool00`00ooooo`08ool01000ooooo`001?oo00<00?ooool02Ooo00<00?ooool00_oo0P00 1_oo00<00?ooool01?oo00<00?ooool01Ooo00<00?ooool00P000_oo00D00?ooooooo`0000Coo`05 003oooooool00004ool00`00ooooo`03ool00`00ooooo`02ool00`00ool00007ool01000ooooo`00 1?oo00<00?ooool01_oo00D00?ooooooo`0000;oo`03003ooooo00;oo`8000?oo`03003ooooo00So o`005Ooo00<00?ooool00_oo00<00?ooool02?oo00D00?ooooooo`0000Ooo`8000Coo`03003ooooo 00Koo`03003oo`0000Coo`03003ooooo00Goo`03003ooooo00_oo`8000?oo`03003ooooo00Koo`03 003ooooo00Goo`03003oo`0000Coo`04003ooooo0003ool01000ooooo`001_oo00<00?ooool01ooo 00@00?ooool000Coo`03003ooooo00;oo`03003ooooo00Coo`03003ooooo00;oo`8000Koo`03003o oooo00Coo`03003ooooo00Koo`8000Coo`05003oooooool00004ool01@00oooooooo00001?oo00<0 0?ooool00ooo00<00?ooool00_oo00<00?oo00001ooo00@00?ooool000Coo`03003ooooo00Koo`03 003ooooo00;oo`03003oo`0000Coo`8000?oo`03003ooooo00Soo`005Ooo00<00?ooool00_oo00<0 0?ooool02?oo00D00?ooooooo`0000Koo`03003oo`0000Coo`03003ooooo00Koo`03003oo`0000Go o`03003ooooo00?oo`03003ooooo00coo`03003ooooo00;oo`03003ooooo00Goo`03003ooooo00Ko o`03003oo`0000Coo`04003ooooo0003ool01000ooooo`001_oo00<00?ooool01ooo00@00?ooool0 00Coo`03003ooooo00;oo`03003ooooo00Coo`03003ooooo00;oo`8000Koo`03003ooooo00Coo`03 003ooooo00coo`05003oooooool00004ool01@00oooooooo00001?oo00<00?ooool00ooo00<00?oo ool00_oo00<00?oo00001ooo00@00?ooool000Goo`03003ooooo00Goo`03003ooooo00;oo`03003o o`0000Coo`8000?oo`03003ooooo00Soo`005Ooo00<00?ooool00_oo00<00?ooool02?oo00D00?oo ooooo`0000Koo`04003ooooo0003ool00`00ooooo`06ool00`00ool00005ool00`00ooooo`03ool0 0`00ooooo`0ool00`00ool00006ool01000ooooo`00 1Ooo00D00?ooooooo`0000Koo`03003ooooo00Koo`04003ooooo0006ool01000ooooo`003ooo00<0 0?ooool00ooo00<00?ooool01ooo000Eool00`00ooooo`05ool200001?oo003oo`002_oo00@00?oo ool001[oo`04003ooooo000Dool00`00ooooo`03ool00`00ooooo`0?ool00`00ool00005ool00`00 ooooo`0;ool01000ooooo`001?oo00@00?ooool000;oo`05003oooooool00003ool00`00ooooo`0= ool200001?oo003oo`004?oo00<00?oo00001_oo00@00?ooool000Goo`05003oooooool00006ool0 0`00ooooo`06ool01000ooooo`001_oo00@00?ooool001Goo`03003ooooo00Ooo`005Ooo00<00?oo ool01Ooo00@00?ooooooo`8000[oo`04003ooooo000Jool01000ooooo`005?oo00<00?ooool00ooo 00<00?ooool03ooo00<00?oo00001Ooo00<00?ooool02ooo00@00?ooool000Coo`04003ooooo0002 ool01@00oooooooo00000ooo00<00?ooool03Ooo0P0000Coo`00ool0013oo`03003oo`0000Ooo`03 003oo`0000Goo`05003oooooool00006ool00`00ooooo`06ool01000ooooo`001_oo00@00?ooool0 01Goo`03003ooooo00Ooo`005Ooo0P002ooo00<00?ooool02?oo00@00?ooool001[oo`04003ooooo 000Dool00`00ooooo`03ool00`00ooooo`0?ool00`00ool00005ool00`00ooooo`0;ool01000oooo o`001?oo00@00?ooool000;oo`05003oooooool00003ool00`00ooooo`0=ool200001?oo003oo`00 4Ooo0P001ooo00<00?oo00001Ooo00D00?ooooooo`0000ooo`04003ooooo0006ool01000ooooo`00 7ooo000Eool00`00ooooo`0Eool01000ooooo`006_oo00@00?ooool001Coo`03003ooooo00?oo`03 003ooooo00ooo`03003oo`0001?oo`04003ooooo0004ool00`00ool00003ool01@00oooooooo0000 0ooo00<00?ooool03Ooo00H00?ooool00?oo000Aool20007ool00`00ool00005ool01@00oooooooo 00003ooo00@00?ooool000Koo`04003ooooo000Oool001Goo`03003ooooo01Koo`03003oo`0001[o o`04003ooooo000Dool00`00ooooo`03ool00`00ooooo`0?ool00`00ool0000Cool01000ooooo`00 1?oo00<00?oo00001ooo00D00?ooooooo`0000ooo`04003oooooool2000Aool20007ool20006ool0 1@00oooooooo00003ooo00<00?oo00001ooo00@00?ooool001ooo`005Ooo00<00?ooool05_oo00<0 0?oo00006_oo00@00?ooool001Coo`03003ooooo00?oo`03003ooooo00ooo`03003oo`0001?oo`04 003ooooo0004ool00`00ool00007ool01@00oooooooo00004ooo0P004Ooo00<00?ooool01_oo0P00 1_oo00D00?ooooooo`0000ooo`03003oo`0000Ooo`04003ooooo000Oool001Goo`03003ooooo01Ko o`03003oo`0001[oo`04003ooooo000Dool00`00ooooo`03ool00`00ooooo`0?ool00`00ool0000C ool01000ooooo`001?oo00<00?oo00001ooo00D00?ooooooo`0001?oo`80017oo`03003ooooo00Ko o`8000Koo`05003oooooool0000?ool00`00ool00007ool01000ooooo`007ooo00000ooo00000002 0003ool00`00ooooo`02ool30005ool00`00ooooo`0Fool2000Kool01000ooooo`005?oo00<00?oo ool00ooo00<00?ooool03ooo00<00?oo00004ooo00@00?ooool000Coo`03003oo`0000Ooo`05003o ooooool0000Cool2000Aool00`00ooooo`06ool20006ool01@00oooooooo00003ooo00<00?oo0000 1ooo00@00?ooool001ooo`000ooo00<00?ooool02_oo00<00?ooool00_oo00<00?ooool05_oo0P00 7?oo00<00?oo00005?oo00<00?ooool00ooo00<00?ooool03ooo00<00?oo00005?oo00<00?oo0000 1?oo00<00?oo00001ooo00D00?ooooooo`0001Coo`03003ooooo00ooo`03003ooooo00Koo`8000Ko o`05003oooooool0000?ool00`00ool00007ool01000ooooo`007ooo0003ool00`00ooooo`0:ool0 0`00ooooo`02ool3000Fool2000Lool00`00ool0000Dool00`00ooooo`03ool00`00ooooo`0?ool0 0`00ool0000Dool00`00ool00004ool00`00ool00007ool01@00oooooooo00005?oo00<00?ooool0 3ooo00<00?ooool01_oo0P001_oo00D00?ooooooo`0000ooo`03003oo`0000Ooo`03003oo`00023o o`000ooo00<00?ooool01ooo0`001Ooo00<00?ooool05_oo0P007?oo00<00?oo00005?oo00<00?oo ool00ooo00<00?ooool03ooo00<00?oo00005?oo00<00?oo00001?oo00<00?oo00001ooo00D00?oo ooooo`0001Coo`03003ooooo00ooo`03003ooooo00Koo`8000Koo`05003oooooool0000?ool00`00 ool00007ool00`00ool0000Pool000?oo`03003ooooo00Ooo`03003ooooo00Goo`03003ooooo01Ko o`8001coo`03003oo`0001Coo`03003ooooo00?oo`03003ooooo00ooo`03003oo`0001Coo`03003o o`0000Coo`03003oo`0000Ooo`05003oooooool0000Vool00`00ooooo`06ool20006ool01@00oooo oooo00003ooo00<00?oo00001ooo00<00?oo00008?oo00001?oo000000002Ooo00<00?ooool01Ooo 00<00?ooool05_oo0P007?oo00<00?oo00005?oo00<00?ooool00ooo00<00?ooool03ooo00<00?oo 00005?oo00<00?oo00001?oo00<00?oo00002?oo00<00?oo0000Ooo00<00?oo00004Ooo0P002?oo00<00?ooool07ooo000Eool00`00ooooo`0dool2000F ool01@00oooooooo00004_oo0P005_oo00<00?ooool01?oo00<00?ooool01ooo00<00?oo0000>Ooo 00<00?oo00004Ooo0P002?oo00<00?ooool07ooo000Eool00`00ooooo`0dool2000Fool01@00oooo oooo00004ooo00<00?ooool05?oo00<00?ooool01?oo00<00?ooool01ooo00<00?oo0000>_oo0P00 4Ooo0P002?oo00<00?ooool07ooo000Eool00`00ooooo`0eool00`00ooooo`0Dool01@00oooooooo 00004ooo00<00?ooool05?oo00<00?ooool01?oo00<00?ooool01ooo00<00?oo0000>_oo0P004Ooo 0P002?oo00<00?ooool07ooo000Eool00`00ooooo`0eool00`00ooooo`0Dool01@00oooooooo0000 4ooo00<00?ooool05?oo00<00?ooool01?oo00<00?ooool01ooo00<00?oo0000>_oo0P004Ooo0P00 2?oo00<00?ooool07ooo000Eool00`00ooooo`0eool00`00ooooo`0Dool01@00oooooooo00004ooo 00<00?ooool05?oo00<00?ooool01?oo00<00?ooool01ooo00<00?oo0000>_oo0P004Ooo0P002?oo 00<00?ooool07ooo000Eool00`00ooooo`0eool00`00ooooo`0Dool01@00oooooooo00004ooo00<0 0?ooool05?oo00<00?ooool01?oo00<00?ooool01ooo00<00?oo0000>_oo0P004Ooo0P002?oo00<0 0?ooool07ooo000Eool2000fool00`00ooooo`0Dool01@00oooooooo00004ooo00<00?ooool05?oo 00<00?ooool01?oo00<00?ooool01ooo00<00?oo0000>_oo0P004Ooo00<00?ooool01ooo00<00?oo ool07ooo000Eool00`00ooooo`0eool00`00ooooo`0Dool01@00oooooooo00004ooo00<00?ooool0 5?oo00<00?ooool03_oo00<00?oo0000>ooo00<00?ooool03ooo00<00?ooool0:Ooo000Eool00`00 ooooo`0eool00`00ooooo`0Eool01000ooooo`004ooo00<00?ooool09_oo00<00?ooool0>_oo00<0 0?ooool03ooo00<00?ooool0:Ooo000Eool00`00ooooo`0eool00`00ooooo`0Eool01000ooooo`00 4ooo00<00?ooool09_oo00<00?ooool0>_oo00<00?ooool03ooo00<00?ooool0:Ooo000Eool00`00 ooooo`0eool00`00ooooo`0Eool01000ooooo`004ooo00<00?ooool09_oo00<00?ooool0>_oo00<0 0?ooool03ooo00<00?ooool0:Ooo000Eool00`00ooooo`1=ool01000ooooo`004ooo00<00?ooool0 9_oo00<00?ooool0C?oo00<00?ooool0:Ooo000Eool00`00ooooo`1=ool01000ooooo`004ooo00<0 0?ooool09_oo00<00?ooool0C?oo00<00?ooool0:Ooo000Eool2001>ool01000ooooo`004ooo00<0 0?ooool09_oo00<00?ooool0C?oo00<00?ooool0:Ooo000Eool00`00ooooo`1=ool01000ooooo`00 4ooo00<00?ooool09_oo00<00?ooool0C?oo00<00?ooool0:Ooo000Eool00`00ooooo`1=ool00`00 ool0000Dool00`00ooooo`0Vool00`00ooooo`1ool2002ool00`00 ooooo`04ool00`00ooooo`1>ool2002hool000ooo`03003ooooo00?oo`03003ooooo04koo`800;So o`004?oo00<00?ooool00_oo00<00?ooool0Cooo00<00?ooool0]_oo000=ool01000ooooo`001?oo 00<00?ooool0Cooo00<00?ooool0]_oo000>ool20005ool00`00ooooo`1?ool00`00ooooo`2fool0 01Goo`03003ooooo04ooo`03003ooooo0;Koo`005Ooo0P00oooo2_oo000Eool00`00ooooo`3oool9 ool001Goo`03003ooooo0?ooo`Woo`005Ooo00<00?ooool0oooo2Ooo003ooolQool00?ooob7oo`00 oooo8Ooo003ooolQool00?ooob7oo`00\ \>"], ImageRangeCache->{{{101, 388}, {546, 369.062}} -> {-47.6833, 4.93479, 0.389667, 0.0141422}}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[StyleBox["\nOptionally, add an outlier"]], "Section"], Cell[BoxData[ \(\(\n (*\ data[\([50]\)]\ = \ 10; \ *) \)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[{ \(l2 = \ PseudoInverse[A]\ .\ data; \nListPlot[l2, PlotJoined -> True]\), \(nwts = 10; \npnorm = 1.0; \neps = .001; \n weights\ = \ Table[1, {i, nrows}]; \n\n Do[\n\t\n\tR\ = \ DiagonalMatrix[weights]; \n\t (*Print[MatrixForm[R]]; *) \n\tAA\ = \ R.A; \n\tyy\ = \ R.data; \n\t lp\ = \ PseudoInverse[AA]\ .\ yy; \n\t\n\ \ r\ = \ A.lp\ - data; \n\ \n\t\t\(Do[\n\t\t\t wt\ = \ \((Max[eps, Abs[r[\([i]\)]]])\)^\((pnorm - 2)\); \n\t\t\t \(weights[\([i]\)]\ = \ Sqrt[wt];\)\n\t\t\t\t, {i, nrows}];\)\n\t\n \t, {k, nwts}]; \n\nListPlot[lp, PlotJoined -> True]\)}], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .61803 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics /Courier findfont 10 scalefont setfont % Scaling calculations -0.0820106 0.10582 0.126376 0.993434 [ [.34127 .11388 -3 -9 ] [.34127 .11388 3 0 ] [.55291 .11388 -3 -9 ] [.55291 .11388 3 0 ] [.76455 .11388 -3 -9 ] [.76455 .11388 3 0 ] [.97619 .11388 -6 -9 ] [.97619 .11388 6 0 ] [.11713 .02703 -24 -4.5 ] [.11713 .02703 0 4.5 ] [.11713 .22572 -18 -4.5 ] [.11713 .22572 0 4.5 ] [.11713 .32506 -18 -4.5 ] [.11713 .32506 0 4.5 ] [.11713 .42441 -18 -4.5 ] [.11713 .42441 0 4.5 ] [.11713 .52375 -18 -4.5 ] [.11713 .52375 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 .12638 m .34127 .13263 L s [(4)] .34127 .11388 0 1 Mshowa .55291 .12638 m .55291 .13263 L s [(6)] .55291 .11388 0 1 Mshowa .76455 .12638 m .76455 .13263 L s [(8)] .76455 .11388 0 1 Mshowa .97619 .12638 m .97619 .13263 L s [(10)] .97619 .11388 0 1 Mshowa .125 Mabswid .18254 .12638 m .18254 .13013 L s .23545 .12638 m .23545 .13013 L s .28836 .12638 m .28836 .13013 L s .39418 .12638 m .39418 .13013 L s .44709 .12638 m .44709 .13013 L s .5 .12638 m .5 .13013 L s .60582 .12638 m .60582 .13013 L s .65873 .12638 m .65873 .13013 L s .71164 .12638 m .71164 .13013 L s .81746 .12638 m .81746 .13013 L s .87037 .12638 m .87037 .13013 L s .92328 .12638 m .92328 .13013 L s .07672 .12638 m .07672 .13013 L s .02381 .12638 m .02381 .13013 L s .25 Mabswid 0 .12638 m 1 .12638 L s .12963 .02703 m .13588 .02703 L s [(-0.1)] .11713 .02703 1 0 Mshowa .12963 .22572 m .13588 .22572 L s [(0.1)] .11713 .22572 1 0 Mshowa .12963 .32506 m .13588 .32506 L s [(0.2)] .11713 .32506 1 0 Mshowa .12963 .42441 m .13588 .42441 L s [(0.3)] .11713 .42441 1 0 Mshowa .12963 .52375 m .13588 .52375 L s [(0.4)] .11713 .52375 1 0 Mshowa .125 Mabswid .12963 .0469 m .13338 .0469 L s .12963 .06677 m .13338 .06677 L s .12963 .08664 m .13338 .08664 L s .12963 .10651 m .13338 .10651 L s .12963 .14624 m .13338 .14624 L s .12963 .16611 m .13338 .16611 L s .12963 .18598 m .13338 .18598 L s .12963 .20585 m .13338 .20585 L s .12963 .24559 m .13338 .24559 L s .12963 .26546 m .13338 .26546 L s .12963 .28533 m .13338 .28533 L s .12963 .30519 m .13338 .30519 L s .12963 .34493 m .13338 .34493 L s .12963 .3648 m .13338 .3648 L s .12963 .38467 m .13338 .38467 L s .12963 .40454 m .13338 .40454 L s .12963 .44427 m .13338 .44427 L s .12963 .46414 m .13338 .46414 L s .12963 .48401 m .13338 .48401 L s .12963 .50388 m .13338 .50388 L s .12963 .00716 m .13338 .00716 L s .12963 .54362 m .13338 .54362 L s .12963 .56349 m .13338 .56349 L s .12963 .58336 m .13338 .58336 L s .12963 .60322 m .13338 .60322 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 .5 Mabswid .02381 .60332 m .12963 .03212 L .23545 .50671 L .34127 .30878 L .44709 .16445 L .55291 .46583 L .65873 .01472 L .76455 .39345 L .87037 .44426 L .97619 .36966 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgOoo0`005ooo00<00?oo ool02_oo00<00?ooool05?oo0P00>?oo00D00?ooooooo`0000;oo`03003ooooo00;oo`008Ooo00D0 0?ooooooo`0000Coo`03003ooooo03?oo`03003oo`0003Woo`03003ooooo01Ooo`03003ooooo00_o o`03003ooooo01;oo`04003ooooo000gool01@00oooooooo00000_oo00<00?ooool00_oo000Qool0 1@00oooooooo00001?oo00<00?ooool0=?oo0P00>Ooo00<00?ooool05_oo00<00?ooool03?oo00<0 0?ooool04_oo00@00?ooool003Goo`<000?oo`04003ooooo0004ool0027oo`05003oooooool00004 ool00`00ooooo`0eool00`00ooooo`0hool3000Eool00`00ooooo`0Ooo00<00?ooool04ooo00<00?ooool03ooo00<00?ooool04_oo00<00?ooool0 >Ooo00<00?ooool01_oo000Oool00`00ooooo`03ool00`00ooooo`04ool00`00ooooo`25ool00`00 ooooo`0?ool00`00ooooo`1Gool001ooo`03003ooooo00?oo`03003ooooo00Coo`03003ooooo08Go o`03003ooooo00ooo`03003ooooo05Ooo`007ooo00<00?ooool00ooo0P001Ooo00<00?ooool0Q?oo 00<00?ooool04Ooo00<00?ooool0E_oo000Oool00`00ooooo`03ool00`00ooooo`04ool00`00oooo o`24ool00`00ooooo`0Aool00`00ooooo`1Fool001ooo`03003ooooo00?oo`03003ooooo00Coo`03 003ooooo08Coo`03003ooooo017oo`03003ooooo05Koo`007ooo00<00?ooool00ooo00<00?ooool0 1Ooo00<00?ooool0Pooo00<00?ooool04Ooo00<00?ooool0E_oo000Nool00`00ooooo`04ool00`00 ooooo`05ool00`00ooooo`22ool00`00ooooo`0Cool00`00ooooo`1Eool001koo`03003ooooo00Co o`03003ooooo00Goo`03003ooooo08;oo`03003ooooo01?oo`03003ooooo05Goo`007_oo00<00?oo ool01?oo0P001_oo00<00?ooool0D?oo00<00?ooool0;ooo00<00?ooool04ooo00<00?ooool0EOoo 000Nool00`00ooooo`04ool00`00ooooo`06ool00`00ooooo`1>ool2000aool00`00ooooo`0Dool0 0`00ooooo`1Dool001koo`03003ooooo00Coo`03003ooooo00Koo`03003ooooo04koo`03003oo`00 033oo`03003ooooo01Coo`03003ooooo05Coo`007Ooo00<00?ooool01Ooo00<00?ooool01_oo00<0 0?ooool0COoo00@00?ooool002ooo`03003ooooo01Goo`03003ooooo05Coo`007Ooo00<00?ooool0 1Ooo00<00?ooool01_oo00<00?ooool0C?oo00D00?ooooooo`0002ooo`03003ooooo01Goo`03003o oooo05Coo`007Ooo00<00?ooool01Ooo00<00?ooool01_oo00<00?ooool0Booo00<00?ooool00ooo 00<00?ooool0;?oo00<00?ooool05_oo00<00?ooool0Dooo000Mool00`00ooooo`05ool20008ool0 0`00ooooo`1:ool00`00ooooo`03ool00`00ooooo`0/ool00`00ooooo`0Fool00`00ooooo`1Cool0 01goo`03003ooooo00Goo`03003ooooo00Ooo`03003ooooo04Woo`03003ooooo00Coo`03003ooooo 02_oo`03003ooooo01Ooo`03003ooooo05?oo`007Ooo00<00?ooool01Ooo00<00?ooool01ooo00<0 0?ooool0B?oo00<00?ooool01_oo00<00?ooool0:_oo00<00?ooool06?oo00<00?ooool0D_oo000L ool00`00ooooo`06ool00`00ooooo`07ool00`00ooooo`17ool00`00ooooo`07ool00`00ooooo`0Z ool00`00ooooo`0Hool00`00ooooo`1Bool001coo`03003ooooo00Koo`03003ooooo00Soo`03003o oooo04Koo`03003ooooo00Ooo`03003ooooo02[oo`03003ooooo01Soo`03003ooooo05;oo`007?oo 00<00?ooool01_oo0P002Ooo00<00?ooool0AOoo00<00?ooool02Ooo00<00?ooool0:?oo00<00?oo ool06Ooo00<00?ooool0D_oo000Lool00`00ooooo`06ool00`00ooooo`08ool00`00ooooo`14ool0 0`00ooooo`0:ool00`00ooooo`0Xool00`00ooooo`0Jool00`00ooooo`1Aool001coo`03003ooooo 00Koo`03003ooooo00Soo`03003ooooo04?oo`03003ooooo00coo`03003ooooo02Ooo`03003ooooo 01[oo`03003ooooo057oo`006ooo00<00?ooool01ooo00<00?ooool02?oo00<00?ooool0@ooo00<0 0?ooool03?oo00<00?ooool09ooo00<00?ooool06_oo00<00?ooool0DOoo000Kool00`00ooooo`07 ool00`00ooooo`09ool00`00ooooo`11ool00`00ooooo`0=ool00`00ooooo`0Wool00`00ooooo`0K ool00`00ooooo`1@ool0017oo`8000Coo`04003oooooool50005ool00`00ooooo`09ool00`00oooo o`10ool00`00ooooo`0?ool00`00ooooo`0Uool00`00ooooo`0Lool00`00ooooo`1@ool0013oo`04 003ooooo0007ool01000ooooo`001_oo0`002Ooo00<00?ooool0@?oo00<00?ooool03ooo00<00?oo ool09Ooo00<00?ooool07?oo00<00?ooool0D?oo000@ool01000ooooo`001ooo00@00?ooool000Ko o`03003ooooo00Woo`03003ooooo03ooo`03003ooooo013oo`03003ooooo02Goo`03003ooooo01go o`03003ooooo04ooo`004?oo00@00?ooool000Ooo`04003ooooo0006ool00`00ooooo`0:ool00`00 ooooo`0mool00`00ooooo`0Bool00`00ooooo`0Tool00`00ooooo`0Mool00`00ooooo`1?ool0013o o`04003ooooo0006ool01@00oooooooo00001_oo00<00?ooool02_oo00<00?ooool0??oo00<00?oo ool04ooo00<00?ooool08ooo00<00?ooool07_oo00<00?ooool0Cooo000@ool01000ooooo`001_oo 00<00?oo00000P001_oo00<00?ooool02_oo00<00?ooool0??oo00<00?ooool04ooo00<00?ooool0 8ooo00<00?ooool07_oo00<00?ooool0Cooo000Aool20007ool01@00oooooooo00001_oo00<00?oo ool02_oo00<00?ooool0>ooo00<00?ooool05Ooo00<00?ooool08_oo00<00?ooool07ooo00<00?oo ool0C_oo000Jool00`00ooooo`08ool2000;ool00`00ooooo`0jool00`00ooooo`0Fool00`00oooo o`0Rool00`00ooooo`0Oool00`00ooooo`1>ool001[oo`03003ooooo00Soo`03003ooooo00_oo`03 003ooooo03Soo`03003ooooo01Ooo`03003ooooo027oo`03003ooooo023oo`03003ooooo04koo`00 6Ooo00<00?ooool02Ooo00<00?ooool02ooo00<00?ooool0>?oo00<00?ooool06?oo00<00?ooool0 8?oo00<00?ooool08Ooo00<00?ooool0COoo000Iool00`00ooooo`09ool00`00ooooo`0;ool00`00 ooooo`0gool00`00ooooo`0Iool00`00ooooo`0Pool00`00ooooo`0Qool00`00ooooo`1=ool001Wo o`03003ooooo00Woo`03003ooooo00_oo`03003ooooo03Koo`03003ooooo01[oo`03003ooooo023o o`03003ooooo027oo`03003ooooo04goo`006Ooo00<00?ooool02Ooo00<00?ooool03?oo00<00?oo ool0=Ooo00<00?ooool06ooo00<00?ooool07_oo00<00?ooool08_oo00<00?ooool0COoo000Iool0 0`00ooooo`09ool2000=ool00`00ooooo`0dool00`00ooooo`0Lool00`00ooooo`0Nool00`00oooo o`0Sool00`00ooooo`1ool00`00ooooo`0[ool00`00ooooo`0Vool00`00 ooooo`0Iool00`00ooooo`0Wool00`00ooooo`1:ool001Ooo`03003ooooo00_oo`03003ooooo00ko o`03003ooooo02[oo`03003ooooo02Soo`03003ooooo01Soo`03003ooooo02Soo`03003ooooo04Wo o`005ooo00<00?ooool02ooo0P003ooo00<00?ooool0:_oo00<00?ooool0:?oo00<00?ooool06?oo 00<00?ooool0:?oo00<00?ooool0BOoo000Fool00`00ooooo`0ool00`00oooo o`0Yool00`00ooooo`0Yool00`00ooooo`0Gool00`00ooooo`0Yool00`00ooooo`19ool001Koo`03 003ooooo00coo`03003ooooo00ooo`03003ooooo02Ooo`03003ooooo02_oo`03003ooooo01Koo`03 003ooooo02Woo`03003ooooo04Woo`005_oo00<00?ooool03?oo00<00?ooool03ooo00<00?ooool0 9ooo00<00?ooool0:ooo00<00?ooool05_oo00<00?ooool0:_oo00<00?ooool0B?oo000Aool20003 ool20004ool40005ool00`00ooooo`0?ool00`00ooooo`0Vool00`00ooooo`0/ool00`00ooooo`0F ool00`00ooooo`0Zool00`00ooooo`18ool0013oo`04003ooooo0002ool00`00ooooo`03ool00`00 ooooo`06ool00`00ooooo`0?ool00`00ooooo`0Vool00`00ooooo`0]ool00`00ooooo`0Eool00`00 ooooo`0Zool00`00ooooo`18ool0013oo`04003ooooo0002ool00`00ooooo`04ool00`00ooooo`05 ool3000@ool00`00ooooo`0Tool00`00ooooo`0^ool00`00ooooo`0Dool00`00ooooo`0/ool00`00 ooooo`17ool0013oo`06003ooooo003oo`002?oo00<00?ooool01?oo00<00?ooool04?oo00<00?oo ool09?oo00<00?ooool0;_oo00<00?ooool05?oo00<00?ooool0;?oo00<00?ooool0Aooo000@ool0 1P00ooooo`00ool000Woo`03003ooooo00?oo`03003ooooo013oo`03003ooooo02?oo`03003ooooo 033oo`03003ooooo01?oo`03003ooooo02coo`03003ooooo04Ooo`004?oo00H00?ooool00?oo0006 ool01000ooooo`001Ooo00<00?ooool04?oo00<00?ooool08ooo00<00?ooool0ool00`00ooooo`0Aool00`00ooooo`0Oool00`00ooooo`0dool00`00oooo o`0Aool00`00ooooo`0_ool00`00ooooo`15ool001Coo`03003ooooo00koo`03003ooooo017oo`03 003ooooo01ooo`03003ooooo03Goo`03003ooooo00ooo`03003ooooo033oo`03003ooooo04Goo`00 5?oo00<00?ooool03_oo00<00?ooool04_oo00<00?ooool07Ooo00<00?ooool0=_oo00<00?ooool0 3ooo00<00?ooool0ool00`00ooooo`0Bool00`00 ooooo`0Mool00`00ooooo`0gool00`00ooooo`0>ool00`00ooooo`0`ool00`00ooooo`15ool001Co o`03003ooooo00koo`8001?oo`03003ooooo01coo`03003ooooo03Soo`03003ooooo00koo`03003o oooo037oo`03003ooooo04Coo`004ooo00<00?ooool03ooo00<00?ooool04_oo00<00?ooool07?oo 00<00?ooool0>?oo00<00?ooool03_oo00<00?ooool0ooo00<00?ooool01_oo 000Cool00`00ooooo`0?ool00`00ooooo`0Bool00`00ooooo`0Kool00`00ooooo`0jool00`00oooo o`0ooo00<00?ooool03?oo00<00?ooool0Ooo0P00:ooo00<00?ooool04_oo000Aool00`00ooooo`0Aool2000Eool00`00 ooooo`0Dool00`00ooooo`12ool00`00ooooo`07ool00`00ooooo`0kool2000Wool2000Eool0017o o`03003ooooo017oo`03003ooooo01Goo`03003ooooo01?oo`03003ooooo04;oo`03003ooooo00Oo o`03003ooooo03goo`8002Coo`03003ooooo01Goo`004Ooo00<00?ooool04Ooo00<00?ooool05Ooo 00<00?ooool04_oo00<00?ooool0@ooo00<00?ooool01ooo00<00?ooool0?ooo0P008?oo0P006?oo 000Aool00`00ooooo`0Aool00`00ooooo`0Eool00`00ooooo`0Bool00`00ooooo`14ool00`00oooo o`05ool00`00ooooo`12ool2000Mool00`00ooooo`0Hool0017oo`03003ooooo017oo`03003ooooo 01Goo`03003ooooo017oo`03003ooooo04Goo`03003ooooo00Goo`03003ooooo04Coo`8001[oo`03 003ooooo01Woo`004Ooo0P001?oo00<00?ooool00ooo0P001_oo00<00?ooool05Ooo00<00?ooool0 4Ooo00<00?ooool0AOoo00<00?ooool01Ooo00<00?ooool0A_oo0P005_oo0P007?oo000@ool01000 ooooo`002?oo00@00?ooool000Goo`<001Koo`03003ooooo00ooo`03003ooooo04Ooo`03003ooooo 00Coo`03003ooooo04Soo`8001?oo`03003ooooo01coo`004?oo00@00?ooool000_oo`03003ooooo 00?oo`03003ooooo01Koo`03003ooooo00ooo`03003ooooo04Ooo`03003ooooo00Coo`03003ooooo 04[oo`80013oo`03003ooooo01goo`004?oo00@00?ooool000Woo`8000Koo`03003ooooo01Koo`03 003ooooo00koo`03003ooooo04Woo`03003ooooo00;oo`03003ooooo04goo`8000coo`80023oo`00 4?oo00@00?ooool000_oo`03003ooooo00?oo`03003ooooo01Koo`03003ooooo00goo`03003ooooo 04[oo`03003ooooo00;oo`03003ooooo04ooo`8000Woo`03003ooooo023oo`004?oo00@00?ooool0 00Soo`04003ooooo0005ool00`00ooooo`0Gool00`00ooooo`0ool00`00ool00020ool000ooo`03003ooooo01?oo`03003ooooo01Soo`03003ooooo00So o`03003ooooo04ooo`03003oo`00083oo`003ooo00<00?ooool04ooo00<00?ooool06?oo00<00?oo ool02?oo00<00?ooool0Cooo0P00POoo000>ool00`00ooooo`0Dool2000Iool00`00ooooo`07ool0 0`00ooooo`1Aool00`00ooooo`1oool000koo`03003ooooo01Coo`03003ooooo01Soo`03003ooooo 00Ooo`03003ooooo057oo`03003ooooo07ooo`003_oo00<00?ooool05?oo00<00?ooool06Ooo00<0 0?ooool01Ooo00<00?ooool0e?oo000>ool00`00ooooo`0Dool00`00ooooo`0Iool00`00ooooo`04 ool00`00ooooo`3Eool000koo`03003ooooo01Coo`03003ooooo01Woo`03003ooooo00Coo`03003o oooo0=Goo`003Ooo00<00?ooool05Ooo00<00?ooool06Ooo00<00?ooool00ooo00<00?ooool0e_oo 000=ool00`00ooooo`0Eool2000Jool00`00ooooo`03ool00`00ooooo`3Fool000goo`03003ooooo 01Goo`03003ooooo01[oo`05003oooooool0003Iool000goo`03003ooooo01Goo`03003ooooo01[o o`05003oooooool0003Iool000goo`03003ooooo01Goo`03003ooooo01[oo`04003ooooo003Jool0 00goo`03003ooooo01Goo`03003ooooo01[oo`04003ooooo003Jool000coo`03003ooooo01Koo`03 003ooooo01_oo`800=_oo`003?oo00<00?ooool05_oo0P007?oo0P00fooo000"], ImageRangeCache->{{{101, 388}, {512.5, 335.562}} -> {-2.57058, 1.05264, 0.0330085, 0.00351605}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"], 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 /Courier findfont 10 scalefont setfont % Scaling calculations -0.0820106 0.10582 0.129205 0.996182 [ [.34127 .11671 -3 -9 ] [.34127 .11671 3 0 ] [.55291 .11671 -3 -9 ] [.55291 .11671 3 0 ] [.76455 .11671 -3 -9 ] [.76455 .11671 3 0 ] [.97619 .11671 -6 -9 ] [.97619 .11671 6 0 ] [.11713 .02959 -24 -4.5 ] [.11713 .02959 0 4.5 ] [.11713 .22882 -18 -4.5 ] [.11713 .22882 0 4.5 ] [.11713 .32844 -18 -4.5 ] [.11713 .32844 0 4.5 ] [.11713 .42806 -18 -4.5 ] [.11713 .42806 0 4.5 ] [.11713 .52768 -18 -4.5 ] [.11713 .52768 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 .12921 m .34127 .13546 L s [(4)] .34127 .11671 0 1 Mshowa .55291 .12921 m .55291 .13546 L s [(6)] .55291 .11671 0 1 Mshowa .76455 .12921 m .76455 .13546 L s [(8)] .76455 .11671 0 1 Mshowa .97619 .12921 m .97619 .13546 L s [(10)] .97619 .11671 0 1 Mshowa .125 Mabswid .18254 .12921 m .18254 .13296 L s .23545 .12921 m .23545 .13296 L s .28836 .12921 m .28836 .13296 L s .39418 .12921 m .39418 .13296 L s .44709 .12921 m .44709 .13296 L s .5 .12921 m .5 .13296 L s .60582 .12921 m .60582 .13296 L s .65873 .12921 m .65873 .13296 L s .71164 .12921 m .71164 .13296 L s .81746 .12921 m .81746 .13296 L s .87037 .12921 m .87037 .13296 L s .92328 .12921 m .92328 .13296 L s .07672 .12921 m .07672 .13296 L s .02381 .12921 m .02381 .13296 L s .25 Mabswid 0 .12921 m 1 .12921 L s .12963 .02959 m .13588 .02959 L s [(-0.1)] .11713 .02959 1 0 Mshowa .12963 .22882 m .13588 .22882 L s [(0.1)] .11713 .22882 1 0 Mshowa .12963 .32844 m .13588 .32844 L s [(0.2)] .11713 .32844 1 0 Mshowa .12963 .42806 m .13588 .42806 L s [(0.3)] .11713 .42806 1 0 Mshowa .12963 .52768 m .13588 .52768 L s [(0.4)] .11713 .52768 1 0 Mshowa .125 Mabswid .12963 .04951 m .13338 .04951 L s .12963 .06943 m .13338 .06943 L s .12963 .08936 m .13338 .08936 L s .12963 .10928 m .13338 .10928 L s .12963 .14913 m .13338 .14913 L s .12963 .16905 m .13338 .16905 L s .12963 .18898 m .13338 .18898 L s .12963 .2089 m .13338 .2089 L s .12963 .24875 m .13338 .24875 L s .12963 .26867 m .13338 .26867 L s .12963 .28859 m .13338 .28859 L s .12963 .30852 m .13338 .30852 L s .12963 .34837 m .13338 .34837 L s .12963 .36829 m .13338 .36829 L s .12963 .38821 m .13338 .38821 L s .12963 .40814 m .13338 .40814 L s .12963 .44798 m .13338 .44798 L s .12963 .46791 m .13338 .46791 L s .12963 .48783 m .13338 .48783 L s .12963 .50775 m .13338 .50775 L s .12963 .00966 m .13338 .00966 L s .12963 .5476 m .13338 .5476 L s .12963 .56753 m .13338 .56753 L s .12963 .58745 m .13338 .58745 L s .12963 .60737 m .13338 .60737 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 .5 Mabswid .02381 .60332 m .12963 .06758 L .23545 .46436 L .34127 .33032 L .44709 .01472 L .55291 .45189 L .65873 .14453 L .76455 .42353 L .87037 .54935 L .97619 .32915 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{288, 177.938}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg_oo00<00?ooool04ooo00<00?ooool02ooo00<00?ooool05?oo0P00>ooo0P00=_oo10000ooo0P00 1Ooo000Sool00`00ool00002ool00`00ooooo`0gool00`00ooooo`0Cool00`00ooooo`0;ool00`00 ooooo`0Cool01000ooooo`00>Ooo00@00?ooool003Ooo`05003oooooool00002ool00`00ooooo`02 ool002?oo`03003oo`0000;oo`03003ooooo03Coo`D001?oo`03003ooooo00coo`03003ooooo01?o o`04003ooooo000iool01000ooooo`00=ooo00D00?ooooooo`0000;oo`03003ooooo00;oo`008ooo 00H00?oo00000?oo000fool01000ooooo`005?oo00<00?ooool03?oo00<00?ooool04ooo0`00>ooo 0P00>?oo00D00?ooooooo`0000;oo`03003ooooo00;oo`008_oo00@00?ooool000;oo`03003ooooo 03Goo`03003oo`0001Coo`03003ooooo00goo`03003ooooo01;oo`03003ooooo03[oo`04003ooooo 000gool01@00oooooooo00000_oo00<00?ooool00_oo000Rool01000ooooo`000ooo00<00?ooool0 =Ooo0P004ooo00<00?ooool03_oo00<00?ooool04_oo00<00?ooool0>_oo00@00?ooool003Goo`<0 00?oo`04003ooooo0004ool002;oo`04003ooooo0003ool00`00ooooo`0fool00`00ooooo`0Aool0 0`00ooooo`0>ool00`00ooooo`0Cool3000jool2000hool00`00ooooo`02ool20005ool002;oo`04 003ooooo0003ool00`00ooooo`1:ool00`00ooooo`0>ool00`00ooooo`2Fool002;oo`04003ooooo 0003ool00`00ooooo`19ool00`00ooooo`0@ool00`00ooooo`2Eool00?l00200007oo`001ooo00<0 0?ooool03?oo00<00?ooool02?oo00D00?ooooooo`0000Coo`03003ooooo00Ooo`03003ooooo00co o`03003ooooo00coo`03003ooooo00goo`03003ooooo00coo`05003oooooool0000:ool00`00oooo o`05ool00`00ooooo`04ool00`00ooooo`0_oo00<00?ooool07_oo00<0 0?ooool09?oo00<00?ooool03?oo00<00?ooool0FOoo000Mool00`00ooooo`05ool00`00ooooo`08 ool00`00ooooo`0jool00`00ooooo`0Nool00`00ooooo`0Tool00`00ooooo`0?oo00<00?ooool07ooo00<00?ooool08ooo00<00?ooool03_oo 00<00?ooool0F?oo000@ool01000ooooo`002?oo00<00?oo00001_oo0`002Ooo00<00?ooool0>?oo 00<00?ooool08?oo00<00?ooool08_oo00<00?ooool03_oo00<00?ooool0F?oo000@ool01000oooo o`002?oo00<00?oo00001_oo00<00?ooool02Ooo00<00?ooool0=ooo00<00?ooool08Ooo00<00?oo ool08Ooo00<00?ooool04?oo00<00?ooool0Eooo000@ool01000ooooo`002?oo00<00?oo00001_oo 00<00?ooool02_oo00<00?ooool0=_oo00<00?ooool08Ooo00<00?ooool08Ooo00<00?ooool04?oo 00<00?ooool0Eooo000@ool01000ooooo`001ooo00@00?ooool000Koo`03003ooooo00[oo`03003o oooo03Koo`03003ooooo027oo`03003ooooo027oo`03003ooooo013oo`03003ooooo05Ooo`004?oo 00@00?ooool000Ooo`@000Koo`03003ooooo00[oo`03003ooooo03Goo`03003ooooo02?oo`03003o oooo01ooo`03003ooooo01;oo`03003ooooo05Koo`004Ooo0P002?oo00@00?ooool000Koo`03003o oooo00[oo`03003ooooo03Goo`03003ooooo02?oo`03003ooooo01ooo`03003ooooo01;oo`03003o oooo05Koo`006ooo00<00?ooool01ooo0P003?oo00<00?ooool0=?oo00<00?ooool08ooo00<00?oo ool07ooo00<00?ooool04ooo