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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Mathcad updates worksheets automatically and calculates from top to bottom and left to right. Sometimes, however, you need more control over the calculations. This tutorial covers some techniques for controlling calculations and the order in which a worksheet is processed.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Here are the topics covered in this tutorial:</p>
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<link href="#interrupting calculations" title="Links to section " popup="false">To Interrupt Calculations</link>
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<link href="#manual mode" title="Links to section " popup="false">Manual Mode</link>
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<link href="#inactive equations" title="Links to section " popup="false">Inactive Equations</link>
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<link href="#global variables" title="Links to section " popup="false">Global Variables</link>
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<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">To Interrupt Calculations</p>
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<phrase>calculations, interrupting</phrase>
<phrase>disabling a calculation</phrase>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Mathcad can easily perform long, often time-consuming, calculations such as factoring a huge number or adding up many terms of a series. However, if you don't want to wait for the answer, you can interrupt the calculation and restart it later if you want to.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">To interrupt a calculation:</p>
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<b>
<c val="#008080">•</c>
</b>
<sp count="3"></sp>Press <f family="Verdana" charset="0" size="9">
<b>[Esc]</b>
</f> when a calculation is in progress.</p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">To restart the calculation:</p>
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<b>
<c val="#008080">•</c>
</b>
<sp count="3"></sp>Click on the calculation and press <f family="Verdana" charset="0" size="10">
<b>[F9]</b>
</f> or choose <b>Calculate &gt; Calculate Now</b> from the <b>Tools</b> menu. </p>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try interrupting the calculation of the sum below. Right-click on it and choose <b>Enable Evaluation</b> to initiate the calculation, and then immediately press <f family="Verdana" charset="0" size="10">
<b>[Esc]</b>
</f>. Mathcad asks if you want to interrupt the calculation. Click OK and you'll see that some piece of the sum gets a red error indicator and the error message tells you that you interrupted the calculation. To restart the calculation, press <f family="Verdana" charset="0" size="10">
<b>[F9]</b>
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</ml:apply>
</ml:eval>
</math>
<rendering item-idref="4"></rendering>
</region>
<region region-id="4022" left="6" top="710.25" width="118.5" height="12" align-x="6" align-y="720" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="manual mode">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Manual Mode</p>
</text>
<indexes>
<phrase>manual calculation mode</phrase>
<phrase>automatic calculation mode</phrase>
</indexes>
</region>
<region region-id="4023" left="6" top="726.75" width="342.75" height="114" align-x="6" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If you are building or editing a worksheet that contains a lot of long calculations, it can be counterproductive and annoying to have Mathcad attempt to recalculate the whole worksheet after each change. To turn off the automatic recalculation, go to the <b>Tools</b> menu and uncheck <b>Calculate &gt; Automatic Calculation</b>. You can still update your whole worksheet at any point by selecting <b>Calculate &gt; Calculate Worksheet</b> or by pressing <f family="Verdana" charset="0" size="10">
<b>[Ctrl]</b>
</f>
<f family="Verdana" charset="0" size="10">
<b>[F9]</b>
</f>. When you are ready to resume automatic updating, recheck <b>Automatic Calculation</b>.</p>
</text>
</region>
<region region-id="4024" left="6" top="866.25" width="105.75" height="12" align-x="6" align-y="876" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="inactive equations">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Inactive Equations</p>
</text>
<indexes>
<phrase>disabling evaluation</phrase>
<phrase>enabling evaluation</phrase>
<phrase>inactive equations</phrase>
</indexes>
</region>
<region region-id="4025" left="6" top="882.75" width="341.25" height="42.75" align-x="6" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Sometimes you want to keep some definitions around for future use without having them active in your calculations. For example, you might want to try out some alternative definitions of a function.</p>
</text>
</region>
<region region-id="4056" left="6" top="936.75" width="233.25" height="14.25" align-x="6" align-y="948" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">You can disable any definition following these steps:</p>
</text>
</region>
<region region-id="4057" left="6" top="960.75" width="342" height="42.75" align-x="6" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="List_custom" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">1.</c>
</b>
<sp count="2"></sp>Right-click on the definition.</p>
<p style="List_custom" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">2.</c>
</b>
<sp count="2"></sp>Choose <b>Disable Evaluation</b> from the menu. Mathcad tags the definition with a little box on the right, like this:</p>
</text>
</region>
<region region-id="4096" left="18" top="1015.5" width="72" height="21" align-x="45.75" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="true">
<ml:define>
<ml:function>
<ml:id xml:space="preserve">f</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">x</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:minus></ml:minus>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>2</ml:real>
</ml:apply>
<ml:real>2</ml:real>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="5"></rendering>
</region>
<region region-id="4101" left="126" top="1020.75" width="84.75" height="14.25" align-x="142.5" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Comment" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<inlineAttr font-weight="normal">inactive equation</inlineAttr>
</p>
</text>
</region>
<region region-id="4054" left="0" top="1050" width="6000" height="6" align-x="0" align-y="1050" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="4027" left="6" top="1062.75" width="341.25" height="28.5" align-x="6" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">You can read the definition, but Mathcad ignores it when calculating. To turn the equation back on:</p>
</text>
</region>
<region region-id="4087" left="6" top="1104.75" width="249.75" height="28.5" align-x="6" align-y="1116" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="List_custom" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">1.</c>
</b>
<sp count="2"></sp>Right-click on the definition.</p>
<p style="List_custom" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">2.</c>
</b>
<sp count="2"></sp>Choose <b>Enable Evaluation</b> from the menu. </p>
</text>
</region>
<region region-id="4125" left="6" top="1146.75" width="341.25" height="57" align-x="6" align-y="1158" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If you just want to display an equation and don't plan to use it as an active definition, you can always use the bold equal sign in that specific expression by typing <f family="Verdana" charset="0" size="10">
<b>[Ctrl]=</b>
</f>. This equal sign doesn't start any numerical computation; the expression just sits there in your document, like this: </p>
</text>
</region>
<region region-id="4066" left="18" top="1213.5" width="65.25" height="21" align-x="45" align-y="1230" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:apply>
<ml:equal></ml:equal>
<ml:apply>
<ml:id xml:space="preserve">f</ml:id>
<ml:id xml:space="preserve">x</ml:id>
</ml:apply>
<ml:apply>
<ml:minus></ml:minus>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>2</ml:real>
</ml:apply>
<ml:real>2</ml:real>
</ml:apply>
</ml:apply>
</math>
<rendering item-idref="6"></rendering>
</region>
<region region-id="4100" left="126" top="1218.75" width="183" height="14.25" align-x="144.75" align-y="1230" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Comment" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<inlineAttr font-weight="normal">equation defined with bold equal sign</inlineAttr>
</p>
</text>
</region>
<region region-id="4060" left="6" top="1248.75" width="341.25" height="42.75" align-x="17.25" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<b>
<c val="#008080">Note:</c>
</b> You can format this equal sign to look like a regular equal sign. Right-click on the equal sign and choose <b>View Equality As &gt; Equal</b> from the menu. You get this:</p>
</text>
</region>
<region region-id="4104" left="18" top="1303.5" width="65.25" height="21" align-x="45" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:apply>
<ml:equal style="equal"></ml:equal>
<ml:apply>
<ml:id xml:space="preserve">f</ml:id>
<ml:id xml:space="preserve">x</ml:id>
</ml:apply>
<ml:apply>
<ml:minus></ml:minus>
<ml:apply>
<ml:pow></ml:pow>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>2</ml:real>
</ml:apply>
<ml:real>2</ml:real>
</ml:apply>
</ml:apply>
</math>
<rendering item-idref="7"></rendering>
</region>
<region region-id="4106" left="126" top="1308.75" width="221.25" height="28.5" align-x="144.75" align-y="1320" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Comment" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
<inlineAttr font-weight="normal">equation defined with bold equal sign, formatted to look like a regular equal sign</inlineAttr>
</p>
</text>
</region>
<region region-id="4069" left="6" top="1350.75" width="341.25" height="28.5" align-x="13.5" align-y="1362" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">For more information about special formatting for math regions, see the <b>
<u>
<link href="./feat_13.xmcd" title="Links to section" popup="false">Formatting Math Regions</link>
</u>
</b> tutorial.</p>
</text>
</region>
<region region-id="4131" left="6" top="1406.25" width="47.25" height="12" align-x="6" align-y="1416" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="false">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Example</p>
</text>
</region>
<region region-id="4108" left="6" top="1422.75" width="341.25" height="42.75" align-x="13.5" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Try this one yourself. Both definitions for x, below, have been disabled. Enable calculation on the first definition to see the effect on the function evaluation below it. Then, enable calculation on the second definition:</p>
</text>
</region>
<region region-id="4109" left="18" top="1476.75" width="43.5" height="15.75" align-x="31.5" align-y="1488" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="true">
<ml:define>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>2.9</ml:real>
</ml:define>
</math>
<rendering item-idref="8"></rendering>
</region>
<region region-id="4110" left="120" top="1476.75" width="43.5" height="15.75" align-x="133.5" align-y="1488" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="true">
<ml:define>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>3.1</ml:real>
</ml:define>
</math>
<rendering item-idref="9"></rendering>
</region>
<region region-id="4111" left="18" top="1498.5" width="65.25" height="33.75" align-x="45.75" align-y="1518" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define>
<ml:function>
<ml:id xml:space="preserve">f</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">x</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:div></ml:div>
<ml:id xml:space="preserve">x</ml:id>
<ml:apply>
<ml:minus></ml:minus>
<ml:id xml:space="preserve">x</ml:id>
<ml:real>3</ml:real>
</ml:apply>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="10"></rendering>
</region>
<region region-id="4112" left="18" top="1542.75" width="48" height="15.75" align-x="45" align-y="1554" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math error="This variable is undefined." optimize="false" disable-calc="false">
<ml:eval placeholderMultiplicationStyle="default" resultMultiplicationStyle="default">
<ml:apply>
<ml:id xml:space="preserve">f</ml:id>
<ml:id xml:space="preserve">x</ml:id>
</ml:apply>
</ml:eval>
</math>
<metadata>
<customValue name="Mathsoft_expected_error" type="text">bad_variable	mc_x	mc_x		value_zone</customValue>
</metadata>
<rendering item-idref="11"></rendering>
</region>
<region region-id="4114" left="6" top="1572.75" width="340.5" height="71.25" align-x="17.25" align-y="1584" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Note that even though there are two definitions for <inlineAttr font-style="normal">x</inlineAttr> in this worksheet, only the definition that immediately precedes the calculation is used. Mathcad uses a top to bottom, left to right protocol when updating the calculations in a worksheet. So, <inlineAttr font-style="normal">x</inlineAttr> may initially get a value of 2.9, but when Mathcad sees a new definition for <inlineAttr font-style="normal">x</inlineAttr> to its right, that is the value it uses.</p>
</text>
</region>
<region region-id="4115" left="0" top="1662" width="6000" height="6" align-x="0" align-y="1662" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<pageBreak></pageBreak>
</region>
<region region-id="4055" left="6" top="1670.25" width="112.5" height="12" align-x="6" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="global variables">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Global Variables</p>
</text>
<indexes>
<phrase>global variables</phrase>
<phrase>variables, defining globally</phrase>
</indexes>
</region>
<region region-id="4031" left="6" top="1686.75" width="342" height="71.25" align-x="6" align-y="1698" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">In Mathcad you can use a variable anywhere <i>below</i> or <i>to the right</i> of the position where you defined it. However, this protocol is often inconvenient. For this reason, Mathcad allows you to define a variable <b>globally</b>. In calculating the worksheet, Mathcad reads a globally defined variable first, no matter where that variable is located in your worksheet.</p>
</text>
</region>
<region region-id="4072" left="6" top="1770.75" width="341.25" height="28.5" align-x="6" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">To define a variable globally, type the variable name then type <f family="Verdana" charset="0" size="10">
<b>[Shift] [']</b>
</f>, which is the <f family="Verdana" charset="0" size="10">
<b>~</b>
</f> character. You get a triple equal sign.</p>
</text>
</region>
<region region-id="4130" left="6" top="1820.25" width="47.25" height="12" align-x="6" align-y="1830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="false">
<p style="Heading 2" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Example</p>
</text>
</region>
<region region-id="4033" left="6" top="1836.75" width="341.25" height="85.5" align-x="6" align-y="1848" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Let's say you have a long calculation that depends on a variable, and at the end you plot the result in a graph. Now you want to change the value of that input variable and see how the graph changes. Of course you could scroll back up, change it, and scroll down to look at the graph, but it's more convenient to see the change immediately, and <b>global variables</b> let you do this. Here's an example - the calculation is short but you'll get the idea.</p>
</text>
</region>
<region region-id="4075" left="18" top="1932.75" width="74.25" height="15.75" align-x="47.25" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:define warning="WarnRedefinedBIUnit">
<ml:function>
<ml:id xml:space="preserve">g</ml:id>
<ml:boundVars>
<ml:id xml:space="preserve">b</ml:id>
</ml:boundVars>
</ml:function>
<ml:apply>
<ml:id xml:space="preserve">sin</ml:id>
<ml:apply>
<ml:mult style="default"></ml:mult>
<ml:id xml:space="preserve">a</ml:id>
<ml:id xml:space="preserve">b</ml:id>
</ml:apply>
</ml:apply>
</ml:define>
</math>
<rendering item-idref="12"></rendering>
</region>
<region region-id="4081" left="18" top="1956" width="244.5" height="136.5" align-x="18" align-y="1956" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<plot disable-calc="false" item-idref="13"></plot>
<rendering item-idref="14"></rendering>
</region>
<region region-id="4119" left="24" top="2106.75" width="27.75" height="15.75" align-x="36.75" align-y="2118" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
<math optimize="false" disable-calc="false">
<ml:globalDefine>
<ml:id xml:space="preserve">a</ml:id>
<ml:real>4</ml:real>
</ml:globalDefine>
</math>
<rendering item-idref="15"></rendering>
</region>
<region region-id="4037" left="6" top="2136.75" width="340.5" height="71.25" align-x="6" align-y="2148" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<text use-page-width="false" push-down="false" lock-width="true">
<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Notice that <inlineAttr font-style="normal">a</inlineAttr> is defined below the definition of g(b), even though g(b) is dependent on <inlineAttr font-style="normal">a.</inlineAttr> Normally this would produce an error, but the definition of <inlineAttr font-style="normal">a</inlineAttr> is global. So, Mathcad knows the value of <inlineAttr font-style="normal">a</inlineAttr> throughout the worksheet. When you edit the right side of the definition of <inlineAttr font-style="normal">a,</inlineAttr> by changing 4 to 10, the plot updates immediately. Try it!</p>
</text>
</region>
<region region-id="4132" left="6" top="2226" width="426.75" height="5.25" align-x="6" align-y="2226" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
<picture>
<png item-idref="16" display-width="425.25" display-height="3.75"></png>
</picture>
<rendering item-idref="17"></rendering>
</region>
</regions>
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