<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="12" minor="2"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="true"><Hide name="Table Borders"/></View-Properties>
<MapleNet-Properties elisiondigitsbefore="100" labelling="true" indentamount="4" elisiontermsthreshold="10000" ansi="false" errorbreak="1" useclientjvm="true" echo="1" imaginaryunit="I" labelwidth="20" plotdriver="openviz" elisiondigitsafter="100" plotoutput="terminal" rtablesize="10" elisiontermsbefore="100" elisiondigitsthreshold="10000" typesetting="standard" plotdevice="inline" verboseproc="1" showassumed="1" errorcursor="false" longdelim="true" plotoptions="" quiet="false" elisiontermsafter="100" screenwidth="79" preplot="" prettyprint="3" displayprecision="-1" warnlevel="3" screenheight="25" latexwidth="6.0" postplot="" prompt="&gt; " ShowLabels="true"/>
<Styles><Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Serif" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
</Styles>
<Startup-Code startupcode=""/>
<Metadata-table>
    <Metadata-category name="&lt;default&gt;">
    </Metadata-category>
</Metadata-table>
<Task-table>
    <Task-category name="&lt;default&gt;">
    </Task-category>
</Task-table>
<Annotation-table>
    <Annotation-category name="&lt;default&gt;">
    </Annotation-category>
</Annotation-table>
<Task>
</Task><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2595" drawlabel="true">
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<Text-field style="Text" size="22" family="Arial" layout="Normal" alignment="centred"><Font bold="true" family="Times New Roman" size="22">Plotting Capabilities for Engineers</Font></Text-field>
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<Text-field style="Heading 1" layout="Heading 1">Introduction</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Maple contains an extensive set of visualization tools and options, including many plots and options commonly used by engineers. This Tips &amp; Techniques document demonstrates how to create and customize your plots using interactive techniques and command options, with emphasis on options used in engineering contexts.</Text-field>
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<Text-field style="Text" layout="Normal">Plots can be created using both interactive, &quot;clickable&quot; technqiues and through plotting commands. In this Tips and Techniques, both methods will be presented.</Text-field>
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<Text-field style="Text" layout="Normal">The clickable approach is based on using point-and-click tools such as menus and interactive assistants, rather than commands. No knowledge of Maple's syntax or the underlying commands is required to create 2D and 3D plots and animations when using this approach. </Text-field>
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<Text-field style="Text" layout="Normal">Plot the function <Equation executable="false" style="2D Math" input-equation="`/`(`*`(sin(x)), `*`(x))" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYlLUkjbWlHRiQ2JVEkc2luRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYxNiVRInhGJy9GNVEldHJ1ZUYnL0Y4USdpdGFsaWNGJ0Y3RjdGNy1GIzYlRj9GQkZELyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZNLyUpYmV2ZWxsZWRHRjZGNw==">KiYtSSRzaW5HNiI2I0kieEdGJSIiIkYnISIi</Equation> from -15 to 15 using a clickable plotting approach.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`/`(`*`(sin(x)), `*`(x))" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbWlHRiQ2JVEkc2luRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYxNiVRInhGJy9GNVEldHJ1ZUYnL0Y4USdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRjZGN0Y3RkZGNy1GIzYlRj9GQkZELyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZPLyUpYmV2ZWxsZWRHRjZGRkY3">KiYtSSRzaW5HNiI2I0kieEdGJSIiIkYnISIi</Equation></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L2913" view="label" executable="true"></Label>); # input placeholder</Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KiYtSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kieEdGKCIiIkYqISIi</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal">Right click on the expression and select <Font bold="true">Plots &gt; Plot Builder. </Font> The interactive Plot Builder assistant will appear.</Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" layout="Normal">Change the range of the <Equation executable="false" style="2D Math" input-equation="x" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">SSJ4RzYi</Equation> axis to <Equation executable="false" style="2D Math" input-equation="-15" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2L1EqJnVtaW51czA7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y0LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkgtSSNtbkdGJDYmUSMxNUYnRi9GMkY1Ri9GMkY1">ISM6</Equation><Font bold="true"> to</Font> <Equation executable="false" style="2D Math" input-equation="15" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JlEjMTVGJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjRGL0YyRjU=">IiM6</Equation>.</Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" foreground="[51,102,255]">Tip:</Font><Font foreground="[51,102,255]"> The <Font italic="true">Plot Builder </Font>is a good choice if you know in advance options that you want to modify. You could also select <Font bold="true">Plots &gt; 2-D Plot, </Font>and then use context menus to change various options afterwards.</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2">Command Plotting</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">The command-based approach involves using Maple commands to produce the plots. Options can be added to the command to customize the final appearance of the plot. The plotting command can be incorporated into larger scripts and custom Maple procedures.</Text-field>
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<Text-field style="Text" layout="Normal">Plot a simple function using a command-based approach:</Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
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<Text-field style="Text" layout="Normal">Certain plotting features, such as the display command, are part of the <Font italic="true">plots</Font> package, so we will load the package below. This package contains a wide variety of specialized plots and options. For more details on the <Font italic="true">plots </Font>package, see its <Hyperlink linktarget="Help:plots" hyperlink="true"><Font style="Hyperlink">help page</Font></Hyperlink>.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRitGMUY0">NiI=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JEYrLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0YrRjE=">NiI=</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" size="14">Feature</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" size="14">Clickable-Based Approach</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" size="14">Command-Based Approach</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Simple 2D Plot</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal" bulletsuffix="." initial="-1"><Font style="Text">Right click on the function below; select <Font bold="true">Plots &gt; Plot Builder. </Font></Font></Text-field>
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<Text-field style="Text" layout="Normal" bulletsuffix="." initial="-1">Change the range of <Equation executable="false" style="2D Math" input-equation="theta" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">SSZ0aGV0YUc2Ig==</Equation> from <Font bold="true">0 to 2*Pi</Font>.</Text-field>
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<Text-field style="Text" layout="Normal" bulletsuffix="." initial="-1">Click <Font bold="true">Plot</Font>.</Text-field>
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<Input>
<Text-field style="Text" bold="true" layout="Normal" alignment="centred"><Font bold="true">Gridlines</Font></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Right click on the function below; select <Font bold="true">Plots &gt; Plot Builder</Font>. </Font></Text-field>
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<Input>
<Text-field style="Text" layout="Normal">Ensure that the range of <Equation executable="false" style="2D Math" input-equation="theta" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">SSZ0aGV0YUc2Ig==</Equation> is from <Font bold="true">0 to 2*Pi</Font>.</Text-field>
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<Text-field style="Text" layout="Normal">Click <Font bold="true">Plot</Font>.</Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Right click on the plot; select <Font bold="true">Axes &gt; Toggle Gridlines</Font>.</Font></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3000" drawlabel="true">
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="`*`(`^`(abs(`+`(1, exp(`*`(I, `*`(Pi, `*`(cos(theta))))), exp(`*`(`*`(2, I), `*`(Pi, `*`(cos(theta))))))), 2))" display="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">KiQtSSRhYnNHJSpwcm90ZWN0ZWRHNiMsKCIiIkYoLUkkZXhwRzYiNiMqKF4jRihGKEkjUGlHRiVGKC1JJGNvc0dGKzYjSSZ0aGV0YUdGK0YoRigtRio2IyooLUkiKkdGJTYkIiIjRi5GKEYvRihGMEYoRihGOg==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KiQpLUkkYWJzRyUqcHJvdGVjdGVkRzYjLCgiIiJGKS1JJGV4cEc2JEYmSShfc3lzbGliRzYiNiMqKF4jRilGKUkjUGlHRiZGKS1JJGNvc0dGLDYjSSZ0aGV0YUdGLkYpRiktRis2IyooKiYiIiNGKUYxRilGKUYyRilGM0YpRilGO0Yp</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" foreground="[51,102,255]">Tip:</Font><Font foreground="[51,102,255]"> When you click on the plot, the <Font bold="true">Plot</Font> toolbar will be visible above. You can click on the <Image height="24" width="22" zoomable="false">TUZOV3RLVWI8b2I8Uj1NRExDZE5iP0JAS2I6UlZzaGBzOmdUTENUSmNEWG94UnNFVnlZRkFSUztWXFw9ZlJbQ3BTRl5pRF49YmJDRmtrRDxBYl1bVVxcW3RuZUJdW0lAPWJgVWReV1g7YXk/QURAU0NWPVd5cXl3QVJMSXRLSUQ8QWI9W1VcXHNDWVtJU2toS09JVFNGXUdIPGV0UkNWVmNHdUN2OmRKRVlud0VtUmlzWUs6YG5cXHROXFx0VFs8UDs7NTpcIlx7XH0=<Drawing-Root>LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIkPyNGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiRTI0YqLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image></Font> <Font foreground="[51,102,255]">button to toggle the gridlines on and off.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRitGMUY0">NiI=</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Annotations</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3312" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3311" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred">You can add annotations to your plot, such as titles, axis labels, legends, and more. Shown here are just some of the annotations you can make. </Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3310" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
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<Input>
<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3305" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Right click on the function below; select <Font bold="true">Plots &gt; Plot Builder</Font>.<Font bold="true"> </Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3114" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Ensure that the range of <Equation executable="false" style="2D Math" input-equation="theta" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">SSZ0aGV0YUc2Ig==</Equation> is from <Font bold="true">0 to 2*Pi</Font>.</Text-field>
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</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3489" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Click<Font bold="true"> Plot</Font>.</Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3118" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Right click on the plot and select <Font bold="true">Title &gt; Add Title</Font>.</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3122" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Name the plot <Font bold="true">Function Plot</Font>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3123" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Right click on the plot and select <Font bold="true">Axes &gt; Labels &gt; Edit Vertical</Font>.</Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3124" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Name the vertical axis <Font bold="true">Value</Font>.</Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3117" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3116" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="`*`(`^`(abs(`+`(1, exp(`*`(I, `*`(Pi, `*`(cos(theta))))), exp(`*`(`*`(2, I), `*`(Pi, `*`(cos(theta))))))), 2))" display="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">KiQtSSRhYnNHJSpwcm90ZWN0ZWRHNiMsKCIiIkYoLUkkZXhwRzYiNiMqKF4jRihGKEkjUGlHRiVGKC1JJGNvc0dGKzYjSSZ0aGV0YUdGK0YoRigtRio2IyooLUkiKkdGJTYkIiIjRi5GKEYvRihGMEYoRihGOg==</Equation></Text-field>
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<Output>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictRiM2KEYrLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVib2xkR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0Y2LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0YrRjFGNEY3RjpGPA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictRiM2KEYrLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVib2xkR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0Y2LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0YrRjFGNEY3RjpGPA==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictRiM2KEYrLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVib2xkR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0Y2LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0YrRjFGNEY3RjpGPA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictRiM2KEYrLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVib2xkR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0Y2LyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0YrRjFGNEY3RjpGPA==</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="Text" input-equation="" display="LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LlEnJnJhcnI7RicvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkQ=">LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LlEnJnJhcnI7RicvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkQ=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" display="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">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</Equation></Text-field>
</Input>
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<Text-field style="Text" layout="Normal"><Font bold="true" foreground="[51,102,255]">Tip: </Font><Font foreground="[51,102,255]">You can also add annotations to your plot using the Drawing tools. Click on your plot and select the <Image height="20" width="72" zoomable="false">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<Drawing-Root>LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIkPyhGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiQrI0YqLSUpQ0hJTERSRU5HNiI=</Drawing-Root></Image> toolbar, and then you can choose from several options to annotate your plot.</Font></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">%;</Text-field>
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<Text-field style="Text" layout="Normal">Ensure that the range of <Equation executable="false" style="2D Math" input-equation="theta" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">SSZ0aGV0YUc2Ig==</Equation> is from <Font bold="true">0 to 2*Pi</Font>. </Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Click on <Font bold="true">Options</Font>, and <Font bold="true">Advanced Settings </Font>in the Axes section.</Font></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3471" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Change the <Font bold="true">Mode</Font> for the unlabeled axis to <Font bold="true">Log</Font>. </Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3141" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Click <Font bold="true">Apply</Font>, and then click <Font bold="true">Plot</Font>. </Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="`*`(`^`(abs(`+`(1, exp(`*`(I, `*`(Pi, `*`(cos(theta))))), exp(`*`(`*`(2, I), `*`(Pi, `*`(cos(theta))))))), 2))" display="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">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkobWZlbmNlZEdGJDYoLUYjNigtSSNtbkdGJDYkUSIxRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiK0YnRjcvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkAvJSlzdHJldGNoeUdGQC8lKnN5bW1ldHJpY0dGQC8lKGxhcmdlb3BHRkAvJS5tb3ZhYmxlbGltaXRzR0ZALyUnYWNjZW50R0ZALyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGTy1GLDYlLUY7Ni1RLyZFeHBvbmVudGlhbEU7RidGN0Y+RkFGQ0ZFRkdGSUZLL0ZOUSYwLjBlbUYnL0ZRUSwwLjExMTExMTFlbUYnLUYjNigtRjQ2JFEiSUYnRjctRjs2MFExJkludmlzaWJsZVRpbWVzO0YnLyUnZmFtaWx5R1EoREVGQVVMVEYnLyUlc2l6ZUdRIzEwRicvJStleGVjdXRhYmxlR0ZARjdGPkZBRkNGRUZHRklGS0ZXL0ZRRlgtSSNtaUdGJDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGQEY3RmpuLUYjNigtRmdvNiVRJGNvc0YnRmpvRjctRjs2LVEwJkFwcGx5RnVuY3Rpb247RidGN0Y+RkFGQ0ZFRkdGSUZLRldGZW8tRi82JC1GIzYmLUZnbzYlUScmIzk1MjtGJ0Zqb0Y3LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0ZARjdGN0ZbcUZecUY3RjcvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjotRiw2JUZULUYjNigtRiM2Ji1GNDYkUSIyRidGN0ZqbkZnbkY3RmpuRmZvRmpuRlxwRjdGYHFGN0Y3L0krbXNlbWFudGljc0dGJFEkYWJzRicvJSVvcGVuR1EpJnZlcmJhcjtGJy8lJmNsb3NlR0ZhckZcckZpcUZgcUY3">KiQpLUkkYWJzRyUqcHJvdGVjdGVkRzYjLCgiIiJGKS1JJGV4cEc2JEYmSShfc3lzbGliRzYiNiMqKF4jRilGKUkjUGlHRiZGKS1JJGNvc0dGLDYjSSZ0aGV0YUdGLkYpRiktRis2IyooKiYiIiNGKUYxRilGKUYyRilGM0YpRilGO0Yp</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="Text" input-equation="" display="LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LlEnJnJhcnI7RicvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkQ=">LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LlEnJnJhcnI7RicvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkQ=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" display="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">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</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRitGMUY0">NiI=</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Specialty Tickmarks</Font></Text-field>
</Input>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Right click on the function below; select <Font bold="true">Plots &gt; Plot Builder</Font>. </Font></Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3164" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Ensure that the range of <Equation executable="false" style="2D Math" input-equation="theta" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">SSZ0aGV0YUc2Ig==</Equation> is from <Font bold="true">0 to 2*Pi</Font>. </Text-field>
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<Input>
<Text-field style="Text" layout="Normal">Click on <Font bold="true">Options</Font>, and <Font bold="true">Advanced Settings </Font>in the Axes section. </Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3466" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Change the <Font bold="true">Tickmarks</Font> setting for <Font bold="true">theta</Font> to <Font bold="true">spacing(Pi,0)</Font>. </Text-field>
</Input>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3468" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Click <Font bold="true">Apply, </Font>and then click <Font bold="true">Plot</Font>. </Text-field>
</Input>
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<Input>
<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field style="Text" layout="Normal">Ensure that the range of <Equation executable="false" style="2D Math" input-equation="theta" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTI7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">SSZ0aGV0YUc2Ig==</Equation> is from <Font bold="true">0 to 2*Pi</Font>.</Text-field>
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<Text-field style="Text" layout="Normal">Click <Font bold="true">Plot</Font>.</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="`*`(`^`(abs(`+`(1, exp(`*`(I, `*`(Pi, `*`(cos(theta))))), exp(`*`(`*`(2, I), `*`(Pi, `*`(cos(theta))))))), 2)), `+`(`*`(22.5, `*`(cos(theta))), 22.5)" display="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">NiQqJC1JJGFic0clKnByb3RlY3RlZEc2IywoIiIiRiktSSRleHBHNiI2IyooXiNGKUYpSSNQaUdGJkYpLUkkY29zR0YsNiNJJnRoZXRhR0YsRilGKS1GKzYjKigtSSIqR0YmNiQiIiNGL0YpRjBGKUYxRilGKUY7LCZGMSQiJEQjISIiRj1GKQ==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NiQqJCktSSRhYnNHJSpwcm90ZWN0ZWRHNiMsKCIiIkYqLUkkZXhwRzYkRidJKF9zeXNsaWJHNiI2IyooXiNGKkYqSSNQaUdGJ0YqLUkkY29zR0YtNiNJJnRoZXRhR0YvRipGKi1GLDYjKigqJiIiI0YqRjJGKkYqRjNGKkY0RipGKkY8RiosJiomJCIkRCMhIiJGKkY0RipGKkY/Rio=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="Text" input-equation="" display="LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LlEnJnJhcnI7RicvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkQ=">LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2LlEnJnJhcnI7RicvJTBmb250X3N0eWxlX25hbWVHUSgyRH5NYXRoRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkQ=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="Maple Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzZocC1JI21pR0YkNilRJnBsb3RzRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2MVEiW0YnRi9GMkY4RjsvRj5RJ25vcm1hbEYnLyUmZmVuY2VHRjcvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4xNjY2NjY3ZW1GJy8lJ3JzcGFjZUdGVi1GLDYpUShkaXNwbGF5RidGL0YyRjVGOEY7Rj0tRkE2MVEiXUYnRi9GMkY4RjtGREZGRkhGSkZMRk5GUEZSRlQvRlhRLDAuMTExMTExMWVtRictRkE2MVEiKEYnRi9GMkY4RjtGREZGRkhGSkZMRk5GUEZSRlRGVy1GLDYpUSVwbG90RidGL0YyRjVGOEY7Rj1GW28tRiw2KVEkYWJzRidGL0YyL0Y2RjRGOEY7RkRGW28tSSNtbkdGJDYoUSIxRidGL0YyRjhGO0ZELUZBNjFRIitGJ0YvRjJGOEY7RkQvRkdGNEZIL0ZLRjRGTEZORlBGUi9GVVEsMC4yMjIyMjIyZW1GJy9GWEZfcC1GLDYpUSRleHBGJ0YvRjJGZG9GOEY7RkRGW28tRiw2KVEiSUYnRi9GMkY1RjhGO0Y9LUZBNjFRIipGJ0YvRjJGOEY7RkRGXHBGSEZdcEZMRk5GUEZSRlRGVy1GLDYpUScmIzk2MDtGJ0YvRjJGZG9GOEY7RkRGZ3AtRiw2KVEkY29zRidGL0YyRmRvRjhGO0ZERltvLUYsNilRJyYjOTUyO0YnRi9GMkZkb0Y4RjtGRC1GQTYxUSIpRidGL0YyRjhGO0ZERkZGSEZKRkxGTkZQRlJGVEZXRmNxRmlvRmFwRltvLUZmbzYoUSIyRidGL0YyRjhGO0ZERmdwRmRwRmdwRmpwRmdwRl1xRltvRmBxRmNxRmNxRmNxLUZBNjFRIl5GJ0YvRjJGOEY7RkRGXHBGSEZdcEZMRk5GUEZSL0ZVRmpuRmluRmZxLUZBNjFRIixGJ0YvRjJGOEY7RkRGXHAvRklGN0ZdcEZMRk5GUEZSL0ZVUSYwLjBlbUYnL0ZYUSwwLjMzMzMzMzNlbUYnLUZBNjFRIn5GJ0YvRjJGOEY7RkRGXHBGSEZdcEZMRk5GUEZSRmFyL0ZYRmJyRmBxRmVyLUZBNjFRIj1GJ0YvRjJGOEY7RkRGXHBGSEZdcEZMRk5GUEZSL0ZVUSwwLjI3Nzc3NzhlbUYnL0ZYRl1zRmVyLUZmbzYoUSIwRidGL0YyRjhGO0ZERmVyLUZBNjFRIy4uRidGL0YyRjhGO0ZERlxwRkhGXXBGTEZORlBGUkZecEZockZlckZmcUZncEZqcEZjcUZdckZlckZeb0Zbby1GZm82KFElMjIuNUYnRi9GMkY4RjtGREZncEZdcUZbb0ZgcUZjcUZpb0Zlc0ZdckZlckZgcUZlckZpckZlckZfc0ZlckZic0ZlckZmcUZncEZqcEZdckZlci1GLDYpUSZjb2xvckYnRi9GMkY1RjhGO0Y9RmVyRmlyRmVyLUkjbXNHRiQ2I1EqTGltZUdyZWVuRidGY3FGY3FGL0YyRjhGO0ZE">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</Equation></Text-field>
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<Output>
<Text-field style="Maple Plot" layout="Maple Plot"></Text-field>
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<Text-field prompt="&gt; " style="Text" executable="true" foreground="[51,102,255]" layout="Normal"><Font bold="true" executable="true" foreground="[51,102,255]">Tip: </Font></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Text" executable="true" foreground="[51,102,255]" layout="Normal"><Font executable="true" foreground="[51,102,255]">To create a single plot with multiple expressions, you can also drag and drop expressions from different plots, or from your Maple document, onto the same set of axes. </Font></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Text" executable="true" foreground="[51,102,255]" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(A, plot(`*`(`^`(abs(`+`(1, exp(`*`(I, `*`(Pi, `*`(cos(theta))))), exp(`*`(`*`(2, I), `*`(Pi, `*`(cos(theta))))))), 2)), theta = 0 .. `+`(`*`(2, `*`(Pi))))):" display="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">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</Equation></Text-field>
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<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L3376" drawlabel="true" redirect-source="L3242">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L3382" view="label" executable="true"></Label>); # input placeholder</Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3385" drawlabel="true" redirect-target="L3243">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="display(A, B)" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEoZGlzcGxheUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYnLUYsNiVRIkFGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRIkJGJ0YvRjIvJStleGVjdXRhYmxlR0ZFRkFGQUZlbkZB">LUkoZGlzcGxheUc2IjYkSSJBR0YkSSJCR0Yk</Equation></Text-field>
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<Text-field style="Text" foreground="[51,102,255]" layout="Normal"><Font bold="true" foreground="[51,102,255]">Tip:</Font><Font foreground="[51,102,255]"> To suppress the output of the assignments of A and B, you can place a colon at the end of your statement (as shown above).</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true" foreground="[51,102,255]">Tip: </Font><Font foreground="[51,102,255]">The <Font italic="true">display </Font>command is used to display more than one plot on a set of axes.  For more information on the <Font italic="true">display</Font> command, see its </Font><Hyperlink linktarget="Help:plots,display" hyperlink="true"><Font style="Hyperlink">help page</Font></Hyperlink>.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">Right click on the plot; select <Font bold="true">Axes &gt; Create second axis</Font>.</Font></Text-field>
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<Text-field style="Text" layout="Normal">Right click on a curve (e.g. below, green) and select <Font bold="true">Axes &gt; Move to second axis</Font>.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal" alignment="centred"><Equation executable="true" style="2D Input" input-equation="`*`(`^`(abs(`+`(1, exp(`*`(I, `*`(Pi, `*`(cos(theta))))), exp(`*`(`*`(2, I), `*`(Pi, `*`(cos(theta))))))), 2)), `+`(`*`(22.5, `*`(cos(theta))), 22.5)" display="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">NiQqJC1JJGFic0clKnByb3RlY3RlZEc2IywoIiIiRiktSSRleHBHNiI2IyooXiNGKUYpSSNQaUdGJkYpLUkkY29zR0YsNiNJJnRoZXRhR0YsRilGKS1GKzYjKigtSSIqR0YmNiQiIiNGL0YpRjBGKUYxRilGKUY7LCZGMSQiJEQjISIiRj1GKQ==</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="Text" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1">Specialized Plotting Examples</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Built into Maple are a wide array of standard engineering plots. Below, some of these plots are illustrated.</Text-field>
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<Text-field style="Heading 2" layout="Heading 2">Bode Plots</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Bode plots are usually a combination of a Bode magnitude and a Bode phase plot. These plots show the transfer function or frequency response of a linear, time-invariant system. To construct a Bode plot in Maple, define your DynamicSystems <Font italic="true">system object </Font>and use the <Font bold="true">BodePlot</Font> command. </Text-field>
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<Text-field style="Text" italic="true" layout="Normal"><Font italic="false">The BodePlot and TransferFunction commands are part of the DynamicSystems package, so we will load the package below:</Font></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L2857" drawlabel="true" redirect-source="L2856">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L2856" view="label" executable="true"></Label>); # input placeholder</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group></Presentation-Block><Table alignment="left" showinput="true" interior="none" order="row" exterior="none" width="100.0%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="cell" showgroup="false"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3328" drawlabel="true" redirect-target="L3329">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="BodePlot(sys)" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2I1EhRictRiM2JUYrLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRistRiM2JS1GLDYlUSlCb2RlUGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y1USdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRJHN5c0YnRjxGP0Y0RjRGNEYrRi9GK0YxRjQ=">LUkpQm9kZVBsb3RHNiI2I0kkc3lzR0Yk</Equation></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L3329" drawlabel="true" redirect-source="L3328">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">%;</Text-field>
</Input>
<Output>
<Text-field style="Maple Plot" layout="Maple Plot"><Table alignment="left" showinput="true" interior="group" order="row" exterior="all" width="100%" randomized="false" showlabel="true" plotalignlists="" postexecute="insert" pagebreak="row" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]"><Plot height="-1" type="two-dimensional" width="-1" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="7" 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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font bold="true" style="Text" foreground="[51,102,255]">Tip:</Font><Font style="Text" foreground="[51,102,255]"> Specialized Maple functions like <Font bold="true">BodePlot</Font> can still be customized with various plotting options, allowing you to add titles and change colors, and annotations, just as with any other Maple plot.</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2">Root Locus Plots</Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Maple has the ability to plot the root-locus of a system object with a built-in command. Below, we define our system and use the <Font bold="true">RootLocusPlot</Font> command to create the plot.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(sys2, NewSystem(`/`(`*`(`^`(`+`(s, 1), 2)), `*`(`+`(`*`(`^`(s, 3)), s, 1)))))" display="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">Pkklc3lzMkc2Ii1JKk5ld1N5c3RlbUdGJDYjKiYsJkkic0dGJCIiIkYrRisiIiMsKCokRioiIiRGK0YqRitGK0YrISIi</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font style="Text">The Dynamic Systems package also includes support for root-contour plots, phase plots, and more. See </Font><Hyperlink linktarget="Help:DynamicSystems" hyperlink="true"><Font style="Text" underline="true" foreground="[0,128,128]">?DynamicSystems</Font></Hyperlink><Font style="Text"> for more details.</Font></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Polar Plots</Text-field></Title><Presentation-Block>
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<Input>
<Text-field style="Text" layout="Normal">To plot polar functions in Maple, you simply define your function and plot it using the Plot Builder.</Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2970" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JUYrLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRitGMUY0">NiI=</Equation></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" size="14">Action</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" size="14">Result</Font></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L3438" drawlabel="true">
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<Text-field style="Text" layout="Normal">Enter the expression to be plotted.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`/`(`*`(`*`(40, `+`(20, `-`(sin(`+`(`*`(7, `*`(t))))), `-`(cos(`+`(`*`(20, `*`(t)))))))), `*`(`+`(100, `*`(`^`(`+`(t, `-`(`*`(`/`(1, 2), `*`(Pi)))), 2)))))" display="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">KiYtSSIqRyUqcHJvdGVjdGVkRzYkIiNTLCgiIz8iIiItSSRzaW5HNiI2IywkSSJ0R0YtIiIoISIiLUkkY29zR0YtNiMsJEYwRilGMkYqLCYiJCsiRioqJCwmRjBGKkkjUGlHRiUjRjIiIiNGPUYqRjI=</Equation></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">print(<Label label="L3435" view="label" executable="true"></Label>); # input placeholder</Text-field>
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<Text-field style="Text" layout="Normal">Right click on the expression and select <Font bold="true">Plot &gt; Plot Builder</Font>.<Font bold="true"> </Font> The interactive Plot Builder assistant will appear.</Text-field>
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<Text-field style="Text" layout="Normal">Choose <Font bold="true">2-D polar plot</Font>.</Text-field>
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<Text-field style="Text" layout="Normal">Change the range of the angle <Equation executable="false" style="2D Math" input-equation="t" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">SSJ0RzYi</Equation>  to <Equation executable="false" style="2D Math" input-equation="`+`(`-`(`*`(`/`(1, 2), `*`(Pi))))" display="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">LCRJI1BpRyUqcHJvdGVjdGVkRyMhIiIiIiM=</Equation><Font bold="true"> to</Font> <Equation executable="false" style="2D Math" input-equation="`*`(`+`(`*`(3, `*`(Pi))), `/`(1, 2))" display="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">LUkiKkclKnByb3RlY3RlZEc2JCwkSSNQaUdGJCIiJCMiIiIiIiM=</Equation>.</Text-field>
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