(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 4.0, MathReader 4.0, or any compatible application. 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[ 55147, 1698]*) (*NotebookOutlinePosition[ 56062, 1727]*) (* CellTagsIndexPosition[ 56018, 1723]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["How to get X AND Y error bars", "Section"], Cell[TextData[{ "You cannot get x error bars using ErrorListPlot. You need to use ", StyleBox["MultipleListPlot", FontWeight->"Bold"], " and a function called ", StyleBox["ErrorBar.", FontWeight->"Bold"], "\nYou need to load ", StyleBox["Graphics`MultipleListPlot`", FontWeight->"Bold"] }], "Text"], Cell[TextData[{ "The syntax for ErrorBar is as follows:\nFor x +/- Ex and y+/- Ey, use ", StyleBox["ErrorBar[{Ex,Ey}] \n", FontWeight->"Bold"], StyleBox["If you have uneven error bars, ie X +Ex1 -Ex2, you can set ", FontVariations->{"CompatibilityType"->0}], StyleBox["ErrorBar[{-Ex1,Ex2},{-Ey1,Ey2}]", FontWeight->"Bold", FontVariations->{"CompatibilityType"->0}], StyleBox[".", FontVariations->{"CompatibilityType"->0}] }], "Text"], Cell[TextData[{ "\nThe syntax for MultipleListPlot is\n", StyleBox["MultipleListPlot[ {{x,y},ErrorBar[{Ex,Ey}] } ]", FontWeight->"Bold"] }], "Text"], Cell["\<\ The following is an example of how to do this starting with x, y, \ ex, ey lists.\ \>", "Text"] }, Open ]], Cell[CellGroupData[{ Cell["Example", "Section"], Cell[BoxData[ \(Remove["\"]\)], "Input"], Cell[BoxData[{ \(Needs["\"]\), "\n", \(Needs["\"]\)}], "Input"], Cell[BoxData[{ \(\(x\ = \ {2, 4, 6, 5, 3, 1, 7, 9, 8};\)\), "\[IndentingNewLine]", \(\(y\ = \ {10, 11, 10, 11, 12, 10, 9, 10, 11};\)\), "\[IndentingNewLine]", \(\(ex\ = \ {0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3, 0.3};\)\), "\[IndentingNewLine]", \(\(ey\ = \ {1, 1, 1, 1, 1, 1, 1, 1, 1};\)\)}], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(xy\ = \ Transpose[{x, y}]\)], "Input"], Cell[BoxData[ \({{2, 10}, {4, 11}, {6, 10}, {5, 11}, {3, 12}, {1, 10}, {7, 9}, {9, 10}, {8, 11}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(errs\ = \ Table[ErrorBar[ex[\([i]\)], ey[\([i]\)]], {i, 1, Length[x]}]\)], "Input"], Cell[BoxData[ \({ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}], ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(dataerr\ = \ Transpose[{xy, errs}]\)], "Input"], Cell[BoxData[ \({{{2, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{4, 11}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{6, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{5, 11}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{3, 12}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{1, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{7, 9}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{9, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{8, 11}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}}\)], "Output"] }, Open ]], Cell["\<\ Note that the x values weren't listed in ascending order, so \ PlotJoined creates a mess.\ \>", "Text", FontColor->RGBColor[1, 0, 0]], Cell[CellGroupData[{ Cell[BoxData[ \(MultipleListPlot[dataerr, PlotRange \[Rule] All, Frame \[Rule] True, AxesOrigin \[Rule] {0, 0}, PlotJoined \[Rule] 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 %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -0.0537099 0.110742 -0.927051 0.117721 [ [.16777 -0.0125 -3 -9 ] [.16777 -0.0125 3 0 ] [.38926 -0.0125 -3 -9 ] [.38926 -0.0125 3 0 ] [.61074 -0.0125 -3 -9 ] [.61074 -0.0125 3 0 ] [.83223 -0.0125 -3 -9 ] [.83223 -0.0125 3 0 ] [ 0 0 -0.125 0 ] [-0.0125 .01472 -6 -4.5 ] [-0.0125 .01472 0 4.5 ] [-0.0125 .13244 -6 -4.5 ] [-0.0125 .13244 0 4.5 ] [-0.0125 .25016 -12 -4.5 ] [-0.0125 .25016 0 4.5 ] [-0.0125 .36788 -12 -4.5 ] [-0.0125 .36788 0 4.5 ] [-0.0125 .4856 -12 -4.5 ] [-0.0125 .4856 0 4.5 ] [-0.0125 .60332 -12 -4.5 ] [-0.0125 .60332 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 .61803 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .16777 0 m .16777 .00625 L s [(2)] .16777 -0.0125 0 1 Mshowa .38926 0 m .38926 .00625 L s [(4)] .38926 -0.0125 0 1 Mshowa .61074 0 m .61074 .00625 L s [(6)] .61074 -0.0125 0 1 Mshowa .83223 0 m .83223 .00625 L s [(8)] .83223 -0.0125 0 1 Mshowa .125 Mabswid .22315 0 m .22315 .00375 L s .27852 0 m .27852 .00375 L s .33389 0 m .33389 .00375 L s .44463 0 m .44463 .00375 L s .5 0 m .5 .00375 L s .55537 0 m .55537 .00375 L s .66611 0 m .66611 .00375 L s .72148 0 m .72148 .00375 L s .77685 0 m .77685 .00375 L s .1124 0 m .1124 .00375 L s .05703 0 m .05703 .00375 L s .00166 0 m .00166 .00375 L s .8876 0 m .8876 .00375 L s .94297 0 m .94297 .00375 L s .99834 0 m .99834 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .01472 m .00625 .01472 L s [(8)] -0.0125 .01472 1 0 Mshowa 0 .13244 m .00625 .13244 L s [(9)] -0.0125 .13244 1 0 Mshowa 0 .25016 m .00625 .25016 L s [(10)] -0.0125 .25016 1 0 Mshowa 0 .36788 m .00625 .36788 L s [(11)] -0.0125 .36788 1 0 Mshowa 0 .4856 m .00625 .4856 L s [(12)] -0.0125 .4856 1 0 Mshowa 0 .60332 m .00625 .60332 L s [(13)] -0.0125 .60332 1 0 Mshowa .125 Mabswid 0 .03826 m .00375 .03826 L s 0 .0618 m .00375 .0618 L s 0 .08535 m .00375 .08535 L s 0 .10889 m .00375 .10889 L s 0 .15598 m .00375 .15598 L s 0 .17952 m .00375 .17952 L s 0 .20307 m .00375 .20307 L s 0 .22661 m .00375 .22661 L s 0 .2737 m .00375 .2737 L s 0 .29724 m .00375 .29724 L s 0 .32079 m .00375 .32079 L s 0 .34433 m .00375 .34433 L s 0 .39142 m .00375 .39142 L s 0 .41497 m .00375 .41497 L s 0 .43851 m .00375 .43851 L s 0 .46205 m .00375 .46205 L s 0 .50914 m .00375 .50914 L s 0 .53269 m .00375 .53269 L s 0 .55623 m .00375 .55623 L s 0 .57977 m .00375 .57977 L s .25 Mabswid 0 0 m 0 .61803 L s .16777 .61178 m .16777 .61803 L s .38926 .61178 m .38926 .61803 L s .61074 .61178 m .61074 .61803 L s .83223 .61178 m .83223 .61803 L s .125 Mabswid .22315 .61428 m .22315 .61803 L s .27852 .61428 m .27852 .61803 L s .33389 .61428 m .33389 .61803 L s .44463 .61428 m .44463 .61803 L s .5 .61428 m .5 .61803 L s .55537 .61428 m .55537 .61803 L s .66611 .61428 m .66611 .61803 L s .72148 .61428 m .72148 .61803 L s .77685 .61428 m .77685 .61803 L s .1124 .61428 m .1124 .61803 L s .05703 .61428 m .05703 .61803 L s .00166 .61428 m .00166 .61803 L s .8876 .61428 m .8876 .61803 L s .94297 .61428 m .94297 .61803 L s .99834 .61428 m .99834 .61803 L s .25 Mabswid 0 .61803 m 1 .61803 L s .99375 .01472 m 1 .01472 L s .99375 .13244 m 1 .13244 L s .99375 .25016 m 1 .25016 L s .99375 .36788 m 1 .36788 L s .99375 .4856 m 1 .4856 L s .99375 .60332 m 1 .60332 L s .125 Mabswid .99625 .03826 m 1 .03826 L s .99625 .0618 m 1 .0618 L s .99625 .08535 m 1 .08535 L s .99625 .10889 m 1 .10889 L s .99625 .15598 m 1 .15598 L s .99625 .17952 m 1 .17952 L s .99625 .20307 m 1 .20307 L s .99625 .22661 m 1 .22661 L s .99625 .2737 m 1 .2737 L s .99625 .29724 m 1 .29724 L s .99625 .32079 m 1 .32079 L s .99625 .34433 m 1 .34433 L s .99625 .39142 m 1 .39142 L s .99625 .41497 m 1 .41497 L s .99625 .43851 m 1 .43851 L s .99625 .46205 m 1 .46205 L s .99625 .50914 m 1 .50914 L s .99625 .53269 m 1 .53269 L s .99625 .55623 m 1 .55623 L s .99625 .57977 m 1 .57977 L s .25 Mabswid 1 0 m 1 .61803 L s .001 w .16777 .25016 m .38926 .36788 L .61074 .25016 L .5 .36788 L .27852 .4856 L .05703 .25016 L .72148 .13244 L .94297 .25016 L .83223 .36788 L s .201 .25016 m .13455 .25016 L s .201 .25016 0 1.5 Mabsadd m .201 .25016 0 -1.5 Mabsadd L s .13455 .25016 0 1.5 Mabsadd m .13455 .25016 0 -1.5 Mabsadd L s .16777 .36788 m .16777 .13244 L s .16777 .36788 1.5 0 Mabsadd m .16777 .36788 -1.5 0 Mabsadd L s .16777 .13244 1.5 0 Mabsadd m .16777 .13244 -1.5 0 Mabsadd L s .42248 .36788 m .35604 .36788 L s .42248 .36788 0 1.5 Mabsadd m .42248 .36788 0 -1.5 Mabsadd L s .35604 .36788 0 1.5 Mabsadd m .35604 .36788 0 -1.5 Mabsadd L s .38926 .4856 m .38926 .25016 L s .38926 .4856 1.5 0 Mabsadd m .38926 .4856 -1.5 0 Mabsadd L s .38926 .25016 1.5 0 Mabsadd m .38926 .25016 -1.5 0 Mabsadd L s .64396 .25016 m .57752 .25016 L s .64396 .25016 0 1.5 Mabsadd m .64396 .25016 0 -1.5 Mabsadd L s .57752 .25016 0 1.5 Mabsadd m .57752 .25016 0 -1.5 Mabsadd L s .61074 .36788 m .61074 .13244 L s .61074 .36788 1.5 0 Mabsadd m .61074 .36788 -1.5 0 Mabsadd L s .61074 .13244 1.5 0 Mabsadd m .61074 .13244 -1.5 0 Mabsadd L s .53322 .36788 m .46678 .36788 L s .53322 .36788 0 1.5 Mabsadd m .53322 .36788 0 -1.5 Mabsadd L s .46678 .36788 0 1.5 Mabsadd m .46678 .36788 0 -1.5 Mabsadd L s .5 .4856 m .5 .25016 L s .5 .4856 1.5 0 Mabsadd m .5 .4856 -1.5 0 Mabsadd L s .5 .25016 1.5 0 Mabsadd m .5 .25016 -1.5 0 Mabsadd L s .31174 .4856 m .24529 .4856 L s .31174 .4856 0 1.5 Mabsadd m .31174 .4856 0 -1.5 Mabsadd L s .24529 .4856 0 1.5 Mabsadd m .24529 .4856 0 -1.5 Mabsadd L s .27852 .60332 m .27852 .36788 L s .27852 .60332 1.5 0 Mabsadd m .27852 .60332 -1.5 0 Mabsadd L s .27852 .36788 1.5 0 Mabsadd m .27852 .36788 -1.5 0 Mabsadd L s .09025 .25016 m .02381 .25016 L s .09025 .25016 0 1.5 Mabsadd m .09025 .25016 0 -1.5 Mabsadd L s .02381 .25016 0 1.5 Mabsadd m .02381 .25016 0 -1.5 Mabsadd L s .05703 .36788 m .05703 .13244 L s .05703 .36788 1.5 0 Mabsadd m .05703 .36788 -1.5 0 Mabsadd L s .05703 .13244 1.5 0 Mabsadd m .05703 .13244 -1.5 0 Mabsadd L s .75471 .13244 m .68826 .13244 L s .75471 .13244 0 1.5 Mabsadd m .75471 .13244 0 -1.5 Mabsadd L s .68826 .13244 0 1.5 Mabsadd m .68826 .13244 0 -1.5 Mabsadd L s .72148 .25016 m .72148 .01472 L s .72148 .25016 1.5 0 Mabsadd m .72148 .25016 -1.5 0 Mabsadd L s .72148 .01472 1.5 0 Mabsadd m .72148 .01472 -1.5 0 Mabsadd L s .97619 .25016 m .90975 .25016 L s .97619 .25016 0 1.5 Mabsadd m .97619 .25016 0 -1.5 Mabsadd L s .90975 .25016 0 1.5 Mabsadd m .90975 .25016 0 -1.5 Mabsadd L s .94297 .36788 m .94297 .13244 L s .94297 .36788 1.5 0 Mabsadd m .94297 .36788 -1.5 0 Mabsadd L s .94297 .13244 1.5 0 Mabsadd m .94297 .13244 -1.5 0 Mabsadd L s .86545 .36788 m .799 .36788 L s .86545 .36788 0 1.5 Mabsadd m .86545 .36788 0 -1.5 Mabsadd L s .799 .36788 0 1.5 Mabsadd m .799 .36788 0 -1.5 Mabsadd L s .83223 .4856 m .83223 .25016 L s .83223 .4856 1.5 0 Mabsadd m .83223 .4856 -1.5 0 Mabsadd L s .83223 .25016 1.5 0 Mabsadd m .83223 .25016 -1.5 0 Mabsadd L s .0001 w .16777 .25016 -1.875 0 Mabsadd m .16777 .25016 0 2.5 Mabsadd L .16777 .25016 1.875 0 Mabsadd L .16777 .25016 0 -2.5 Mabsadd L .16777 .25016 -1.875 0 Mabsadd L closepath F .38926 .36788 -1.875 0 Mabsadd m .38926 .36788 0 2.5 Mabsadd L .38926 .36788 1.875 0 Mabsadd L .38926 .36788 0 -2.5 Mabsadd L .38926 .36788 -1.875 0 Mabsadd L closepath F .61074 .25016 -1.875 0 Mabsadd m .61074 .25016 0 2.5 Mabsadd L .61074 .25016 1.875 0 Mabsadd L .61074 .25016 0 -2.5 Mabsadd L .61074 .25016 -1.875 0 Mabsadd L closepath F .5 .36788 -1.875 0 Mabsadd m .5 .36788 0 2.5 Mabsadd L .5 .36788 1.875 0 Mabsadd L .5 .36788 0 -2.5 Mabsadd L .5 .36788 -1.875 0 Mabsadd L closepath F .27852 .4856 -1.875 0 Mabsadd m .27852 .4856 0 2.5 Mabsadd L .27852 .4856 1.875 0 Mabsadd L .27852 .4856 0 -2.5 Mabsadd L .27852 .4856 -1.875 0 Mabsadd L closepath F .05703 .25016 -1.875 0 Mabsadd m .05703 .25016 0 2.5 Mabsadd L .05703 .25016 1.875 0 Mabsadd L .05703 .25016 0 -2.5 Mabsadd L .05703 .25016 -1.875 0 Mabsadd L closepath F .72148 .13244 -1.875 0 Mabsadd m .72148 .13244 0 2.5 Mabsadd L .72148 .13244 1.875 0 Mabsadd L .72148 .13244 0 -2.5 Mabsadd L .72148 .13244 -1.875 0 Mabsadd L closepath F .94297 .25016 -1.875 0 Mabsadd m .94297 .25016 0 2.5 Mabsadd L .94297 .25016 1.875 0 Mabsadd L .94297 .25016 0 -2.5 Mabsadd L .94297 .25016 -1.875 0 Mabsadd L closepath F .83223 .36788 -1.875 0 Mabsadd m .83223 .36788 0 2.5 Mabsadd L .83223 .36788 1.875 0 Mabsadd L .83223 .36788 0 -2.5 Mabsadd L .83223 .36788 -1.875 0 Mabsadd L closepath F 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]HGAYHf4PAg9QL6QYHgc/mWIfGmoOeE[;`08600H@@0P:011@@1QH@1aN@1iN@22QPQ1B@QYJ@QYL@R2QQ1A FA1QJAQaNA22SQPP:211BAQIHAQiQQR:SQRb]R1QJB2:URQiQS22US1ADC2BWSQiQTUQJDUiQTV:UTVB WUVR[UVjaeYJFV7Cgg6BWWV2QXJR[Xk;ehnX/9Jb]ZJRYZKSijjjajk;ckJb][kSimO;cmOcmmoKgno[ kooko`08210@010O41PH420P01lO82PX<20O3c0P430d:2l_<30h?clg7dI6ATlh3d];Bde=CDmGCel_ 7dm7;elo86ATI6IVIW=cLh0o<81P<65Q@GemOHR8R8mG891W;hR2@?jjZgnnhW`0<09BDU6JIc?knkgemhGYjgKA^d7MgfW1` dVe]cVYZbZUTa6MWaf=S`eeM^f1P_ieJ^5MG]5=C/99@[51@[7=ceTe=Z9JFohf=m;mhg=cLg?oE6G0b RHM6XOo@05YJ^7/lUDA4WHZ:l4Y:YI>Co4M7XL^2j92@n5TNLH20iMJ3jHN7kFDXODhDIB@T Md10VCdmUBLWNn6FocLgSS@dRS0`QT<:FBXZOadML3L0CBd]Pm:dS?GN/iWh00>k^08]gII20T<_o oj/0039UIGL0002[001g001E0=`0002Jc@0bV?lcOWifm_ Kc_l00`3oo`0fo`040?oo03Oo00@0ool0;ol003go00<0ool0=_l503Oo 00@0ool0=ol0103oo`0_o`00?_l00`3oo`0eo`040?oo03So0`0io`80?l203So00<0ool0>?l0103oo`0_o`00?Ol203[o 00<0ool0=ol303So0P0`o`00oolQo`00oolQo`00oolQo`004_oo00/01?l001;o00<0ool03?l00`3o o`0?l00`3oo`0ho`030?oo03So 00<0ool0:Ol00`3oo`02o`002_l0103oo`04o`030?oo0?oo1ol00`3oo`02o`002_l0103oo`04o`<0 ^ol404Ko0P04o`002ol200Go00<0ool0_?l00`3oo`17o`030?oo00;o000:o`040?oo00Co00<0ool0 _?l00`3oo`17o`030?oo00;o000:o`040?oo00Co00<0ool0_?l00`3oo`17o`030?oo00;o000;o`80 1Ol00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`80 _Ol00`3oo`16o`801?l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`030?oo0;co00<0ool0 Aol00`3oo`02o`004_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`03 0?oo00;o000Bo`030?oo0;co00<0ool0Aol00`3oo`02o`004_l20;go00<0ool0A_l200Co000Bo`03 0?oo0;co00<0ool0Aol00`3oo`02o`004_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0 _?l00`3oo`17o`030?oo00;o000Bo`030?oo0;co00<0ool0Aol00`3oo`02o`004_l00`3oo`2lo`03 0?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`80_Ol00`3oo`16o`80 1?l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`030?oo0;co00<0ool0Aol00`3oo`02o`00 4_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`03 0?oo0;co00<0ool0Aol00`3oo`02o`004_l20;go00<0ool0A_l200Co000Bo`030?oo0;co00<0ool0 Aol00`3oo`02o`004_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`03 0?oo00;o000:o`<01Ol00`3oo`2lo`030?oo04Oo00<0ool00_l000go00<0ool00_l00`3oo`2do`03 0?oo00Go00<0ool01_l00`3oo`0no`030?oo00;o000=o`030?oo00;o0`0;o`@06Ol4077o100Coa80 ?l603Go00<0ool06_l00`3oo`0Io`80 7Ol00`3oo`0ol00`3oo`0Jo`03 0?oo01_o0P0Ko`030?oo00co00<0ool00_l001;o00<0ool03?l00`3oo`0Jo`030?oo02go1P10o`03 0?oo01[o00<0ool07Ol201Wo00<0ool03?l00`3oo`02o`004_l00`3oo`0_l00`3oo`0Go`040?oo00ko00<0ool00_l000Ko00<0ool00_l200Go 00<0ool03?l01@3oool001So00<0ool01?l203;o00<0ool06ol00`3oo`0Bo`800_l01@3oool003[o 00<0ool05_l01@3oool000ko00<0ool00_l001;o00<0ool03?l00`3oo`02o`030?oo01Go00<0ool0 1_l2033o00<0ool06ol00`3oo`0@o`800ol00`3oo`02o`030?oo03So00<0ool05Ol00`3oo`02o`03 0?oo00co00<0ool00_l001;o00<0ool03?l00`3oo`03o`030?oo01Co00<0ool02?l00`3oo`0]o`03 0?oo01_o00<0ool03ol00`3oo`03o`030?oo00;o00<0ool0>?l00`3oo`0Eo`030?oo00;o00<0ool0 3?l00`3oo`02o`004_l200go00<0ool01?l00`3oo`0Co`030?oo00Wo0P0]o`030?oo01_o00<0ool0 3Ol200Go00<0ool00ol00`3oo`0ho`030?oo01Co00<0ool00ol00`3oo`0;o`801?l001;o00<0ool0 3?l00`3oo`04o`030?oo01?o00<0ool02ol202_o00<0ool06ol00`3oo`0;o`801_l00`3oo`04o`03 0?oo03So00<0ool04ol00`3oo`04o`030?oo00co00<0ool00_l001;o00<0ool03?l00`3oo`05o`03 0?oo01;o00<0ool03Ol202Wo00<0ool06ol00`3oo`09o`801ol00`3oo`05o`030?oo03So00<0ool0 4_l00`3oo`05o`030?oo00co00<0ool00_l001;o00<0ool03?l00`3oo`06o`030?oo017o00<0ool0 3ol202Oo00<0ool06ol00`3oo`07o`802?l00`3oo`06o`030?oo03So00<0ool04Ol00`3oo`06o`03 0?oo00co00<0ool00_l001;o00<0ool03?l00`3oo`07o`030?oo013o00<0ool04Ol202Go00<0ool0 6ol00`3oo`05o`802Ol00`3oo`07o`030?oo03So00<0ool04?l00`3oo`07o`030?oo00co00<0ool0 0_l001;o00<0ool03?l00`3oo`08o`030?oo00oo00<0ool04ol202?o00<0ool06ol00`3oo`03o`80 2_l00`3oo`08o`030?oo03So00<0ool03ol00`3oo`08o`030?oo00co00<0ool00_l001;o0P0=o`03 0?oo00Wo00<0ool03_l00`3oo`0Eo`030?oo023o00<0ool06ol00`3oo`02o`030?oo00Wo00<0ool0 2Ol00`3oo`0ho`030?oo00ko00<0ool02Ol00`3oo`0;o`801?l001;o00<0ool03?l00`3oo`0:o`03 0?oo00go00<0ool05_l2023o00<0ool06ol00`3oo`0200_o00<0ool02_l00`3oo`0ho`030?oo00go 00<0ool02_l00`3oo`0?l00`3oo`0?l00`3oo`09o`030?oo00ko00<0ool0 2ol200Co000Bo`030?oo00co00<0ool04?l00`3oo`07o`030?oo027o0P0Eo`030?oo01?o0P06o`03 0?oo00So00<0ool03ol00`3oo`0ho`030?oo00So00<0ool03ol00`3oo`0o`030?oo00Co00<0ool04ol00`3oo`0ho`030?oo00Co00<0ool04ol00`3oo`0?l01@3oool001So00<0ool03?l00`3oo`02o`004_l00`3o o`0Ol00`3o o`0;o`030?oo01Wo0P0Mo`030?oo05Go00<0ool0:Ol00`3oo`02o`004_l00`3oo`0jo`030?oo00[o 00<0ool05ol20003o`3o01co00<0ool0EOl00`3oo`0Yo`030?oo00;o000Bo`80??l00`3oo`09o`03 0?oo01Go0P03o`030?oo01_o00<0ool0EOl00`3oo`0Xo`801?l001;o00<0ool0??l00`3oo`08o`03 0?oo01?o0P05o`030?oo01_o00<0ool0EOl00`3oo`0Yo`030?oo00;o000Bo`030?oo03go00<0ool0 1ol00`3oo`0Ao`801ol00`3oo`0Ko`030?oo05Go00<0ool0:Ol00`3oo`02o`004_l00`3oo`0no`03 0?oo00Ko00<0ool04?l00`3oo`07o`030?oo01_o00<0ool0EOl00`3oo`0Yo`030?oo00;o000Bo`03 0?oo03oo00<0ool01Ol00`3oo`0>o`802_l00`3oo`0Ko`030?oo05Go00<0ool0:Ol00`3oo`02o`00 4_l00`3oo`10o`030?oo00Co00<0ool03?l200co00<0ool06ol00`3oo`1Eo`030?oo02Wo00<0ool0 0_l001;o00<0ool0@?l00`3oo`04o`030?oo00[o0P0>o`030?oo01_o00<0ool0EOl00`3oo`0Yo`03 0?oo00;o000Bo`80@_l00`3oo`03o`030?oo00So0P0@o`030?oo01_o00<0ool0EOl00`3oo`0Xo`80 1?l001;o00<0ool0@_l00`3oo`02o`030?oo00Ko0P0Bo`030?oo01_o00<0ool0EOl00`3oo`0Yo`03 0?oo00;o000Bo`030?oo04?o00D0oooo0006o`805?l00`3oo`0Ko`030?oo05Go00<0ool0:Ol00`3o o`02o`004_l00`3oo`14o`040?oo00Co0P0Fo`030?oo01_o00<0ool0EOl00`3oo`0Yo`030?oo00;o 0004o`@00_l400Co00<0ool0?_l00`3oo`04o`030?l000;o0P04o`030?oo017o00<0ool06ol00`3o o`1Eo`030?oo02Wo00<0ool00_l000Ko00D0oooo0007o`030?oo03ko00<0ool01Ol400Ko00<0ool0 4Ol00`3oo`0Ko`030?oo05Go00<0ool0:Ol00`3oo`02o`001_l00`3oo`02o`030?oo00Co0`0noa<0 4_l401Wo101Do`@0:Ol200Co0006o`030?oo00?o00<0ool00ol00`3oo`0no`030?oo00Go0P08o`03 0?oo0;?o00<0ool00_l000Ko00<0ool01?l00`3oo`02o`030?oo04Oo00<0ool0_?l00`3oo`02o`00 1?l300?o00@0ool01?l00`3oo`17o`030?oo0;co00<0ool00_l000Ko00<0ool00_l200Go00<0ool0 Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`004_l204So00<0ool0 ^ol200Co000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`004_l00`3oo`17o`030?oo0;co00<0ool0 0_l001;o00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`00 4_l00`3oo`17o`030?oo0;co00<0ool00_l001;o0P18o`030?oo0;_o0P04o`004_l00`3oo`17o`03 0?oo0;co00<0ool00_l001;o00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0 _?l00`3oo`02o`004_l00`3oo`17o`030?oo0;co00<0ool00_l001;o00<0ool0Aol00`3oo`2lo`03 0?oo00;o000Bo`80B?l00`3oo`2ko`801?l001;o00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`03 0?oo04Oo00<0ool0_?l00`3oo`02o`004_l00`3oo`17o`030?oo0;co00<0ool00_l001;o00<0ool0 Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`004_l00`3oo`17o`03 0?oo0;co00<0ool00_l001;o0P18o`030?oo0;_o0P04o`004_l00`3oo`17o`030?oo0;co00<0ool0 0_l001;o00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`00 1?l400?o0P05o`030?oo04Oo00<0ool0_?l00`3oo`02o`001_l01@3oool000;o00<0ool00_l00`3o o`17o`030?oo0;co00<0ool00_l000Ko00<0ool01?l00`3oo`02o`<0AOl40;co0P04o`001_l00`3o o`02o`801Ol00`3oo`3oo`Oo00<0ool00_l000Ko00<0ool01?l00`3oo`02o`030?oo02Wo00<0ool0 >?l00`3oo`0ho`030?oo03So00<0ool0:Ol00`3oo`02o`001?l300?o00@0ool01?l00`3oo`0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.141002, 7.48071, \ 0.0340247, 0.0320076}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell["You can use Sort to fix this.", "Text", FontColor->RGBColor[1, 0, 0]], Cell[CellGroupData[{ Cell[BoxData[ \(xysort = Sort[xy]\)], "Input"], Cell[BoxData[ \({{1, 10}, {2, 10}, {3, 12}, {4, 11}, {5, 11}, {6, 10}, {7, 9}, {8, 11}, {9, 10}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(sorterr\ = \ Transpose[{xysort, errs}]\)], "Input"], Cell[BoxData[ \({{{1, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{2, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{3, 12}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{4, 11}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{5, 11}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{6, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{7, 9}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{8, 11}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}, {{9, 10}, ErrorBar[{\(-0.3`\), 0.3`}, {\(-1\), 1}]}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MultipleListPlot[sorterr, PlotRange \[Rule] All, Frame \[Rule] True, AxesOrigin \[Rule] {0, 0}, PlotJoined \[Rule] 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 %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations -0.0537099 0.110742 -0.927051 0.117721 [ [.16777 -0.0125 -3 -9 ] [.16777 -0.0125 3 0 ] [.38926 -0.0125 -3 -9 ] [.38926 -0.0125 3 0 ] [.61074 -0.0125 -3 -9 ] [.61074 -0.0125 3 0 ] [.83223 -0.0125 -3 -9 ] [.83223 -0.0125 3 0 ] [ 0 0 -0.125 0 ] [-0.0125 .01472 -6 -4.5 ] [-0.0125 .01472 0 4.5 ] [-0.0125 .13244 -6 -4.5 ] [-0.0125 .13244 0 4.5 ] [-0.0125 .25016 -12 -4.5 ] [-0.0125 .25016 0 4.5 ] [-0.0125 .36788 -12 -4.5 ] [-0.0125 .36788 0 4.5 ] [-0.0125 .4856 -12 -4.5 ] [-0.0125 .4856 0 4.5 ] [-0.0125 .60332 -12 -4.5 ] [-0.0125 .60332 0 4.5 ] [ 0 0 -0.125 0 ] [ 0 .61803 .125 0 ] [ 1 0 .125 0 ] [ 0 0 0 0 ] [ 1 .61803 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .16777 0 m .16777 .00625 L s [(2)] .16777 -0.0125 0 1 Mshowa .38926 0 m .38926 .00625 L s [(4)] .38926 -0.0125 0 1 Mshowa .61074 0 m .61074 .00625 L s [(6)] .61074 -0.0125 0 1 Mshowa .83223 0 m .83223 .00625 L s [(8)] .83223 -0.0125 0 1 Mshowa .125 Mabswid .22315 0 m .22315 .00375 L s .27852 0 m .27852 .00375 L s .33389 0 m .33389 .00375 L s .44463 0 m .44463 .00375 L s .5 0 m .5 .00375 L s .55537 0 m .55537 .00375 L s .66611 0 m .66611 .00375 L s .72148 0 m .72148 .00375 L s .77685 0 m .77685 .00375 L s .1124 0 m .1124 .00375 L s .05703 0 m .05703 .00375 L s .00166 0 m .00166 .00375 L s .8876 0 m .8876 .00375 L s .94297 0 m .94297 .00375 L s .99834 0 m .99834 .00375 L s .25 Mabswid 0 0 m 1 0 L s 0 .01472 m .00625 .01472 L s [(8)] -0.0125 .01472 1 0 Mshowa 0 .13244 m .00625 .13244 L s [(9)] -0.0125 .13244 1 0 Mshowa 0 .25016 m .00625 .25016 L s [(10)] -0.0125 .25016 1 0 Mshowa 0 .36788 m .00625 .36788 L s [(11)] -0.0125 .36788 1 0 Mshowa 0 .4856 m .00625 .4856 L s [(12)] -0.0125 .4856 1 0 Mshowa 0 .60332 m .00625 .60332 L s [(13)] -0.0125 .60332 1 0 Mshowa .125 Mabswid 0 .03826 m .00375 .03826 L s 0 .0618 m .00375 .0618 L s 0 .08535 m .00375 .08535 L s 0 .10889 m .00375 .10889 L s 0 .15598 m .00375 .15598 L s 0 .17952 m .00375 .17952 L s 0 .20307 m .00375 .20307 L s 0 .22661 m .00375 .22661 L s 0 .2737 m .00375 .2737 L s 0 .29724 m .00375 .29724 L s 0 .32079 m .00375 .32079 L s 0 .34433 m .00375 .34433 L s 0 .39142 m .00375 .39142 L s 0 .41497 m .00375 .41497 L s 0 .43851 m .00375 .43851 L s 0 .46205 m .00375 .46205 L s 0 .50914 m .00375 .50914 L s 0 .53269 m .00375 .53269 L s 0 .55623 m .00375 .55623 L s 0 .57977 m .00375 .57977 L s .25 Mabswid 0 0 m 0 .61803 L s .16777 .61178 m .16777 .61803 L s .38926 .61178 m .38926 .61803 L s .61074 .61178 m .61074 .61803 L s .83223 .61178 m .83223 .61803 L s .125 Mabswid .22315 .61428 m .22315 .61803 L s .27852 .61428 m .27852 .61803 L s .33389 .61428 m .33389 .61803 L s .44463 .61428 m .44463 .61803 L s .5 .61428 m .5 .61803 L s .55537 .61428 m .55537 .61803 L s .66611 .61428 m .66611 .61803 L s .72148 .61428 m .72148 .61803 L s .77685 .61428 m .77685 .61803 L s .1124 .61428 m .1124 .61803 L s .05703 .61428 m .05703 .61803 L s .00166 .61428 m .00166 .61803 L s .8876 .61428 m .8876 .61803 L s .94297 .61428 m .94297 .61803 L s .99834 .61428 m .99834 .61803 L s .25 Mabswid 0 .61803 m 1 .61803 L s .99375 .01472 m 1 .01472 L s .99375 .13244 m 1 .13244 L s .99375 .25016 m 1 .25016 L s .99375 .36788 m 1 .36788 L s .99375 .4856 m 1 .4856 L s .99375 .60332 m 1 .60332 L s .125 Mabswid .99625 .03826 m 1 .03826 L s .99625 .0618 m 1 .0618 L s .99625 .08535 m 1 .08535 L s .99625 .10889 m 1 .10889 L s .99625 .15598 m 1 .15598 L s .99625 .17952 m 1 .17952 L s .99625 .20307 m 1 .20307 L s .99625 .22661 m 1 .22661 L s .99625 .2737 m 1 .2737 L s .99625 .29724 m 1 .29724 L s .99625 .32079 m 1 .32079 L s .99625 .34433 m 1 .34433 L s .99625 .39142 m 1 .39142 L s .99625 .41497 m 1 .41497 L s .99625 .43851 m 1 .43851 L s .99625 .46205 m 1 .46205 L s .99625 .50914 m 1 .50914 L s .99625 .53269 m 1 .53269 L s .99625 .55623 m 1 .55623 L s .99625 .57977 m 1 .57977 L s .25 Mabswid 1 0 m 1 .61803 L s .001 w .05703 .25016 m .16777 .25016 L .27852 .4856 L .38926 .36788 L .5 .36788 L .61074 .25016 L .72148 .13244 L .83223 .36788 L .94297 .25016 L s .09025 .25016 m .02381 .25016 L s .09025 .25016 0 1.5 Mabsadd m .09025 .25016 0 -1.5 Mabsadd L s .02381 .25016 0 1.5 Mabsadd m .02381 .25016 0 -1.5 Mabsadd L s .05703 .36788 m .05703 .13244 L s .05703 .36788 1.5 0 Mabsadd m .05703 .36788 -1.5 0 Mabsadd L s .05703 .13244 1.5 0 Mabsadd m .05703 .13244 -1.5 0 Mabsadd L s .201 .25016 m .13455 .25016 L s .201 .25016 0 1.5 Mabsadd m .201 .25016 0 -1.5 Mabsadd L s .13455 .25016 0 1.5 Mabsadd m .13455 .25016 0 -1.5 Mabsadd L s .16777 .36788 m .16777 .13244 L s .16777 .36788 1.5 0 Mabsadd m .16777 .36788 -1.5 0 Mabsadd L s .16777 .13244 1.5 0 Mabsadd m .16777 .13244 -1.5 0 Mabsadd L s .31174 .4856 m .24529 .4856 L s .31174 .4856 0 1.5 Mabsadd m .31174 .4856 0 -1.5 Mabsadd L s .24529 .4856 0 1.5 Mabsadd m .24529 .4856 0 -1.5 Mabsadd L s .27852 .60332 m .27852 .36788 L s .27852 .60332 1.5 0 Mabsadd m .27852 .60332 -1.5 0 Mabsadd L s .27852 .36788 1.5 0 Mabsadd m .27852 .36788 -1.5 0 Mabsadd L s .42248 .36788 m .35604 .36788 L s .42248 .36788 0 1.5 Mabsadd m .42248 .36788 0 -1.5 Mabsadd L s .35604 .36788 0 1.5 Mabsadd m .35604 .36788 0 -1.5 Mabsadd L s .38926 .4856 m .38926 .25016 L s .38926 .4856 1.5 0 Mabsadd m .38926 .4856 -1.5 0 Mabsadd L s .38926 .25016 1.5 0 Mabsadd m .38926 .25016 -1.5 0 Mabsadd L s .53322 .36788 m .46678 .36788 L s .53322 .36788 0 1.5 Mabsadd m .53322 .36788 0 -1.5 Mabsadd L s .46678 .36788 0 1.5 Mabsadd m .46678 .36788 0 -1.5 Mabsadd L s .5 .4856 m .5 .25016 L s .5 .4856 1.5 0 Mabsadd m .5 .4856 -1.5 0 Mabsadd L s .5 .25016 1.5 0 Mabsadd m .5 .25016 -1.5 0 Mabsadd L s .64396 .25016 m .57752 .25016 L s .64396 .25016 0 1.5 Mabsadd m .64396 .25016 0 -1.5 Mabsadd L s .57752 .25016 0 1.5 Mabsadd m .57752 .25016 0 -1.5 Mabsadd L s .61074 .36788 m .61074 .13244 L s .61074 .36788 1.5 0 Mabsadd m .61074 .36788 -1.5 0 Mabsadd L s .61074 .13244 1.5 0 Mabsadd m .61074 .13244 -1.5 0 Mabsadd L s .75471 .13244 m .68826 .13244 L s .75471 .13244 0 1.5 Mabsadd m .75471 .13244 0 -1.5 Mabsadd L s .68826 .13244 0 1.5 Mabsadd m .68826 .13244 0 -1.5 Mabsadd L s .72148 .25016 m .72148 .01472 L s .72148 .25016 1.5 0 Mabsadd m .72148 .25016 -1.5 0 Mabsadd L s .72148 .01472 1.5 0 Mabsadd m .72148 .01472 -1.5 0 Mabsadd L s .86545 .36788 m .799 .36788 L s .86545 .36788 0 1.5 Mabsadd m .86545 .36788 0 -1.5 Mabsadd L s .799 .36788 0 1.5 Mabsadd m .799 .36788 0 -1.5 Mabsadd L s .83223 .4856 m .83223 .25016 L s .83223 .4856 1.5 0 Mabsadd m .83223 .4856 -1.5 0 Mabsadd L s .83223 .25016 1.5 0 Mabsadd m .83223 .25016 -1.5 0 Mabsadd L s .97619 .25016 m .90975 .25016 L s .97619 .25016 0 1.5 Mabsadd m .97619 .25016 0 -1.5 Mabsadd L s .90975 .25016 0 1.5 Mabsadd m .90975 .25016 0 -1.5 Mabsadd L s .94297 .36788 m .94297 .13244 L s .94297 .36788 1.5 0 Mabsadd m .94297 .36788 -1.5 0 Mabsadd L s .94297 .13244 1.5 0 Mabsadd m .94297 .13244 -1.5 0 Mabsadd L s .0001 w .05703 .25016 -1.875 0 Mabsadd m .05703 .25016 0 2.5 Mabsadd L .05703 .25016 1.875 0 Mabsadd L .05703 .25016 0 -2.5 Mabsadd L .05703 .25016 -1.875 0 Mabsadd L closepath F .16777 .25016 -1.875 0 Mabsadd m .16777 .25016 0 2.5 Mabsadd L .16777 .25016 1.875 0 Mabsadd L .16777 .25016 0 -2.5 Mabsadd L .16777 .25016 -1.875 0 Mabsadd L closepath F .27852 .4856 -1.875 0 Mabsadd m .27852 .4856 0 2.5 Mabsadd L .27852 .4856 1.875 0 Mabsadd L .27852 .4856 0 -2.5 Mabsadd L .27852 .4856 -1.875 0 Mabsadd L closepath F .38926 .36788 -1.875 0 Mabsadd m .38926 .36788 0 2.5 Mabsadd L .38926 .36788 1.875 0 Mabsadd L .38926 .36788 0 -2.5 Mabsadd L .38926 .36788 -1.875 0 Mabsadd L closepath F .5 .36788 -1.875 0 Mabsadd m .5 .36788 0 2.5 Mabsadd L .5 .36788 1.875 0 Mabsadd L .5 .36788 0 -2.5 Mabsadd L .5 .36788 -1.875 0 Mabsadd L closepath F .61074 .25016 -1.875 0 Mabsadd m .61074 .25016 0 2.5 Mabsadd L .61074 .25016 1.875 0 Mabsadd L .61074 .25016 0 -2.5 Mabsadd L .61074 .25016 -1.875 0 Mabsadd L closepath F .72148 .13244 -1.875 0 Mabsadd m .72148 .13244 0 2.5 Mabsadd L .72148 .13244 1.875 0 Mabsadd L .72148 .13244 0 -2.5 Mabsadd L .72148 .13244 -1.875 0 Mabsadd L closepath F .83223 .36788 -1.875 0 Mabsadd m .83223 .36788 0 2.5 Mabsadd L .83223 .36788 1.875 0 Mabsadd L .83223 .36788 0 -2.5 Mabsadd L .83223 .36788 -1.875 0 Mabsadd L closepath F .94297 .25016 -1.875 0 Mabsadd m .94297 .25016 0 2.5 Mabsadd L .94297 .25016 1.875 0 Mabsadd L .94297 .25016 0 -2.5 Mabsadd L .94297 .25016 -1.875 0 Mabsadd L closepath F 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]HGAYHf4PAg9QL6QYHgc/mWIfGmoOeE[;`08600H@@0P:011@@1QH@1aN@1iN@22QPQ1B@QYJ@QYL@R2QQ1A FA1QJAQaNA22SQPP:211BAQIHAQiQQR:SQRb]R1QJB2:URQiQS22US1ADC2BWSQiQTUQJDUiQTV:UTVB WUVR[UVjaeYJFV7Cgg6BWWV2QXJR[Xk;ehnX/9Jb]ZJRYZKSijjjajk;ckJb][kSimO;cmOcmmoKgno[ kooko`08210@010O41PH420P01lO82PX<20O3c0P430d:2l_<30h?clg7dI6ATlh3d];Bde=CDmGCel_ 7dm7;elo86ATI6IVIW=cLh0o<81P<65Q@GemOHR8R8mG891W;hR2@?jjZgnnhW`0<09BDU6JIc?knkgemhGYjgKA^d7MgfW1` dVe]cVYZbZUTa6MWaf=S`eeM^f1P_ieJ^5MG]5=C/99@[51@[7=ceTe=Z9JFohf=m;mhg=cLg?oE6G0b RHM6XOo@05YJ^7/lUDA4WHZ:l4Y:YI>Co4M7XL^2j92@n5TNLH20iMJ3jHN7kFDXODhDIB@T Md10VCdmUBLWNn6FocLgSS@dRS0`QT<:FBXZOadML3L0CBd]Pm:dS?GN/iWh00>k^08]gII20T<_o oj/0039UIGL0002[001g001E0=`0002Jc@0bV?lcOWifm_ Kc_l00`3oo`0fo`040?oo03Oo00@0ool0;ol003go00<0ool0=_l503Oo 00@0ool0=ol0103oo`0_o`00?_l00`3oo`0eo`040?oo03So0`0io`80?l203So00<0ool0>?l0103oo`0_o`00?Ol203[o 00<0ool0=ol303So0P0`o`00oolQo`00oolQo`00oolQo`004_oo00/01?l001;o00<0ool03?l00`3o o`0?l00`3oo`0ho`030?oo03So 00<0ool0:Ol00`3oo`02o`002_l0103oo`04o`030?oo0?oo1ol00`3oo`02o`002_l0103oo`04o`<0 ^ol404Ko0P04o`002ol200Go00<0ool0_?l00`3oo`17o`030?oo00;o000:o`040?oo00Co00<0ool0 _?l00`3oo`17o`030?oo00;o000:o`040?oo00Co00<0ool0_?l00`3oo`17o`030?oo00;o000;o`80 1Ol00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`80 _Ol00`3oo`16o`801?l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`030?oo0;co00<0ool0 Aol00`3oo`02o`004_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`03 0?oo00;o000Bo`030?oo0;co00<0ool0Aol00`3oo`02o`004_l20;go00<0ool0A_l200Co000Bo`03 0?oo0;co00<0ool0Aol00`3oo`02o`004_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0 _?l00`3oo`17o`030?oo00;o000Bo`030?oo0;co00<0ool0Aol00`3oo`02o`004_l00`3oo`2lo`03 0?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`80_Ol00`3oo`16o`80 1?l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`030?oo0;co00<0ool0Aol00`3oo`02o`00 4_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`030?oo00;o000Bo`03 0?oo0;co00<0ool0Aol00`3oo`02o`004_l20;go00<0ool0A_l200Co000Bo`030?oo0;co00<0ool0 Aol00`3oo`02o`004_l00`3oo`2lo`030?oo04Oo00<0ool00_l001;o00<0ool0_?l00`3oo`17o`03 0?oo00;o000:o`<01Ol00`3oo`2lo`030?oo04Oo00<0ool00_l000go00<0ool00_l00`3oo`2do`03 0?oo00Go00<0ool01_l00`3oo`0no`030?oo00;o000=o`030?oo00;o0`0;o`@06Ol4077o100Coa80 Ol00`3oo`0o`030?oo00Wo00<0ool00ol00`3oo`0bo`030?oo00_o0P04o`004_l00`3oo`0o`030?oo00Ko00<0ool0;ol00`3oo`0Ol00`3oo`0Ko`030?oo01Oo00@0ool0 ;?l00`3oo`0;o`030?oo01Oo00@0ool03_l00`3oo`02o`001_l00`3oo`02o`801Ol00`3oo`0?l00`3oo`0Ko`030?oo01Ko00D0oooo000]o`030?oo00[o00<0ool05_l01@3o ool000ko00<0ool00_l001;o00<0ool03?l00`3oo`0Jo`030?l003So00<0ool06ol00`3oo`0Eo`03 0?oo00;o00<0ool0:ol00`3oo`0:o`030?oo01Go00<0ool00_l00`3oo`0o`030?oo00Wo00<0ool06ol00`3oo`1Eo`030?oo02Wo 00<0ool00_l001;o00<0ool0?ol00`3oo`05o`030?oo00go00<0ool02_l00`3oo`0Ko`030?oo05Go 00<0ool0:Ol00`3oo`02o`004_l00`3oo`0oo`030?oo00Go00<0ool03?l00`3oo`0;o`030?oo01_o 00<0ool0EOl00`3oo`0Yo`030?oo00;o000Bo`030?oo043o00<0ool01?l00`3oo`0;o`030?oo00co 00<0ool06ol00`3oo`1Eo`030?oo02Wo00<0ool00_l001;o00<0ool0@?l00`3oo`04o`030?oo00[o 00<0ool03Ol00`3oo`0Ko`030?oo05Go00<0ool0:Ol00`3oo`02o`004_l204;o00<0ool00ol00`3o o`09o`030?oo00ko00<0ool06ol00`3oo`1Eo`030?oo02So0P04o`004_l00`3oo`11o`030?oo00?o 00<0ool02?l00`3oo`0?o`030?oo01_o00<0ool0EOl00`3oo`0Yo`030?oo00;o000Bo`030?oo04;o 00<0ool00_l00`3oo`07o`030?oo013o00<0ool06ol00`3oo`1Eo`030?oo02Wo00<0ool00_l001;o 00<0ool0@_l00`3oo`02o`030?oo00Ko00<0ool04Ol00`3oo`0Ko`030?oo05Go00<0ool0:Ol00`3o o`02o`004_l00`3oo`13o`050?ooo`001ol00`3oo`0Bo`030?oo01_o00<0ool0EOl00`3oo`0Yo`03 0?oo00;o000Bo`030?oo04?o00D0oooo0006o`030?oo01?o00<0ool06ol00`3oo`1Eo`030?oo02Wo 00<0ool00_l001;o00<0ool0A?l0103oo`06o`030?oo01?o00<0ool06ol00`3oo`1Eo`030?oo02Wo 00<0ool00_l001;o0P15o`040?oo00Go00<0ool05?l00`3oo`0Ko`030?oo05Go00<0ool0:?l200Co 000Bo`030?oo04Go00<0o`001?l00`3oo`0Eo`030?oo01_o00<0ool0EOl00`3oo`0Yo`030?oo00;o 000Bo`030?oo04Go00<0o`000ol00`3oo`0Fo`030?oo01_o00<0ool0EOl00`3oo`0Yo`030?oo00;o 000Bo`030?oo04Ko0P02o`030?oo01Oo00<0ool06ol00`3oo`1Eo`030?oo02Wo00<0ool00_l000Co 1002o`@01?l00`3oo`0no`030?oo00Go0P000ol0o`05o`030?oo017o00<0ool06ol00`3oo`1Eo`03 0?oo02Wo00<0ool00_l000Ko00D0oooo0007o`030?oo03ko00<0ool01Ol300Oo00<0ool04Ol00`3o o`0Ko`030?oo05Go00<0ool0:Ol00`3oo`02o`001_l00`3oo`02o`030?oo00Co0`0noa<04_l401Wo 101Do`@0:Ol200Co0006o`030?oo00?o00<0ool00ol00`3oo`0no`030?oo00Go0P08o`030?oo0;?o 00<0ool00_l000Ko00<0ool01?l00`3oo`02o`030?oo04Oo00<0ool0_?l00`3oo`02o`001?l300?o 00@0ool01?l00`3oo`17o`030?oo0;co00<0ool00_l000Ko00<0ool00_l200Go00<0ool0Aol00`3o o`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`004_l204So00<0ool0^ol200Co 000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`004_l00`3oo`17o`030?oo0;co00<0ool00_l001;o 00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`004_l00`3o o`17o`030?oo0;co00<0ool00_l001;o0P18o`030?oo0;_o0P04o`004_l00`3oo`17o`030?oo0;co 00<0ool00_l001;o00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3o o`02o`004_l00`3oo`17o`030?oo0;co00<0ool00_l001;o00<0ool0Aol00`3oo`2lo`030?oo00;o 000Bo`80B?l00`3oo`2ko`801?l001;o00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo 00<0ool0_?l00`3oo`02o`004_l00`3oo`17o`030?oo0;co00<0ool00_l001;o00<0ool0Aol00`3o o`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`004_l00`3oo`17o`030?oo0;co 00<0ool00_l001;o0P18o`030?oo0;_o0P04o`004_l00`3oo`17o`030?oo0;co00<0ool00_l001;o 00<0ool0Aol00`3oo`2lo`030?oo00;o000Bo`030?oo04Oo00<0ool0_?l00`3oo`02o`001?l400?o 0P05o`030?oo04Oo00<0ool0_?l00`3oo`02o`001_l01@3oool000;o00<0ool00_l00`3oo`17o`03 0?oo0;co00<0ool00_l000Ko00<0ool01?l00`3oo`02o`<0AOl40;co0P04o`001_l00`3oo`02o`80 1Ol00`3oo`3oo`Oo00<0ool00_l000Ko00<0ool01?l00`3oo`02o`030?oo02Wo00<0ool0>?l00`3o o`0ho`030?oo03So00<0ool0:Ol00`3oo`02o`001?l300?o00@0ool01?l00`3oo`0"], ImageRangeCache->{{{0, 287}, {176.938, 0}} -> {-0.141002, 7.48071, \ 0.0340247, 0.0320076}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Open ]] }, FrontEndVersion->"4.0 for X", ScreenRectangle->{{0, 1280}, {0, 1024}}, WindowSize->{667, 775}, WindowMargins->{{268, Automatic}, {10, Automatic}}, PrintingPageRange->{Automatic, Automatic}, PrintingOptions->{"PaperSize"->{612, 792}, "PaperOrientation"->"Portrait", "PostScriptOutputFile":>FrontEnd`FileName[{$RootDirectory, "home4", \ "thiessen"}, "Untitled-1.ps", CharacterEncoding -> "ISO8859-1"], "Magnification"->1} ] (*********************************************************************** 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[1739, 51, 48, 0, 52, "Section"], Cell[1790, 53, 323, 10, 50, "Text"], Cell[2116, 65, 463, 11, 68, "Text"], Cell[2582, 78, 156, 4, 68, "Text"], Cell[2741, 84, 105, 3, 32, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[2883, 92, 26, 0, 52, "Section"], Cell[2912, 94, 55, 1, 27, "Input"], Cell[2970, 97, 122, 2, 43, "Input"], Cell[3095, 101, 347, 6, 75, "Input"], Cell[CellGroupData[{ Cell[3467, 111, 59, 1, 27, "Input"], Cell[3529, 114, 123, 2, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3689, 121, 111, 2, 27, "Input"], Cell[3803, 125, 468, 9, 91, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4308, 139, 68, 1, 27, "Input"], Cell[4379, 142, 582, 9, 155, "Output"] }, Open ]], Cell[4976, 154, 145, 4, 32, "Text"], Cell[CellGroupData[{ Cell[5146, 162, 160, 2, 43, "Input"], Cell[5309, 166, 24061, 738, 186, 8851, 546, "GraphicsData", "PostScript", \ "Graphics"], Cell[29373, 906, 130, 3, 27, "Output"] }, Open ]], Cell[29518, 912, 77, 1, 32, "Text"], Cell[CellGroupData[{ Cell[29620, 917, 50, 1, 27, "Input"], Cell[29673, 920, 123, 2, 27, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[29833, 927, 72, 1, 27, "Input"], Cell[29908, 930, 582, 9, 155, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[30527, 944, 160, 2, 43, "Input"], Cell[30690, 948, 24296, 741, 186, 8851, 546, "GraphicsData", "PostScript", \ "Graphics"], Cell[54989, 1691, 130, 3, 27, "Output"] }, Open ]] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)