(*********************************************************************** 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[ 69686, 1734]*) (*NotebookOutlinePosition[ 93624, 2493]*) (* CellTagsIndexPosition[ 93580, 2489]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Using Error Bars in Mathematica", "Title"], Cell[TextData[StyleBox["Gary L. Gray\nAssistant Professor\nEngineering \ Science and Mechanics\nThe Pennsylvania State University\n227 Hammond \ Building\nUniversity Park, PA 16802\ngray@engr.psu.edu", "Subtitle", FontSize->14]], "Subtitle"], Cell[TextData[{ "You must use the ", StyleBox["MultipleListPlot", FontFamily->"Courier New", FontWeight->"Bold"], " command to use error bars. To use this command, you must first load the \ package that defines it." }], "Text"], Cell[BoxData[ \(<< Graphics`MultipleListPlot`\)], "Input"], Cell["\<\ Now create a list of four points that have some random error on \ them, put these points in a list and add the error bars. Notice that the \ general syntax is:\ \>", "Text"], Cell[BoxData[ \({{x1, y1, ErrorBar[xerr1, yerr1]}, {x2, y2, ErrorBar[xerr2, yerr2]}, ... , {xn, yn, ErrorBar[xerrn, yerrn]}}\)], "Input", Evaluatable->False], Cell[TextData[{ "I now use the ", StyleBox["Table", FontFamily->"Courier New", FontWeight->"Bold"], " command to generate some ", StyleBox["x", FontSlant->"Italic"], " and ", StyleBox["y", FontSlant->"Italic"], " values along with a little \"noise\" (created by adding a small random \ number to both the ", StyleBox["x", FontSlant->"Italic"], " and ", StyleBox["y", FontSlant->"Italic"], " values) based on the sine curve. Notice that I add the error bars as I \ generate the numbers and that I use the same amount of error on each data \ point. When you do this, you will generally enter your data and error bar \ info one point at a time." }], "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(list1 = Table[{{x + Random[Real, {0, 0.1}], Sin[2\ \[Pi]\ x] + Random[Real, {0, 0.1}]}, ErrorBar[0.1, 0.2]}, {x, 0, 1, 0.33}]\)], "Input"], Cell[BoxData[ \({{{0.09082138547803673`, 0.0018209961945564951`}, ErrorBar[{\(-0.1`\), 0.1`}, {\(-0.2`\), 0.2`}]}, {{0.39134001773228266`, 0.8958190449832634`}, ErrorBar[{\(-0.1`\), 0.1`}, {\(-0.2`\), 0.2`}]}, {{0.7492008702456333`, \(-0.7658016198138837`\)}, ErrorBar[{\(-0.1`\), 0.1`}, {\(-0.2`\), 0.2`}]}, {{1.0543923687601178`, 0.015786250771285898`}, ErrorBar[{\(-0.1`\), 0.1`}, {\(-0.2`\), 0.2`}]}}\)], "Output"] }, Open ]], Cell["\<\ Using the \"Help Browser...\" under the \"Help\" menu and searching \ for \"MultipleListPlot\" will allow you to see all of the other available \ options. 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