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<c val="#800000">Evaluating Vectorized Functions and Operators Symbolically</c>
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<phrase>features, in Mathcad</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">In Mathcad 14, you can now apply a vectorized function or operator to a vector and evaluate the result symbolically. You vectorize a function by applying the <b>vectorize</b> operator. In previous versions of Mathcad, you could only evaluate vectorized functions or operators with the numerical equal sign (=). See <b>
<u>
<link href=".\..\..\Techniques\mo90qvec.xmcd" title="Links to section" popup="false">Vectorizing an Expression</link>
</u>
</b> for a more detailed description of the <b>vectorize</b> operator. </p>
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<phrase>vectorized symbolics</phrase>
<phrase>vectorize operator</phrase>
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<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">As an example, suppose you want to apply the sine function to the elements of the following vector and evaluate the result symbolically.</p>
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<p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">To do so:</p>
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<b>
<c val="#008080">1.</c>
</b>
<sp count="2"></sp>Type sin(v).</p>
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<b>
<c val="#008080">2.</c>
</b>
<sp count="2"></sp>Press <b>[Ctrl] [-]</b> to insert the vectorize operator, which is displayed as an arrow above sin(v). </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">The vectorize operator causes the sine function to be applied element-wise to the vector v.</p>
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<b>
<c val="#008080">3.</c>
</b>
<sp count="2"></sp>Press <b>[Ctrl] [.]</b> to insert the symbolic equal sign.</p>
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<b>
<c val="#008080">4.</c>
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<b>
<c val="#008080">Note:</c>
</b>
<b>
<sp></sp>
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<inlineAttr font-weight="normal">Many built-in functions are implicitly vectorized for numerical evaluation. For example, </inlineAttr>
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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">However, if you want to apply these functions to vectors and evaluate the results symbolically, you must use the <b>vectorize</b> operator.</p>
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