Online Help

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The MTM package is a collection of Maple commands to support the Maple Toolbox.

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The commands in the MTM package are useful by themselves inside Maple without MATLAB®. Some of the commands are relatively simple front ends to the standard Maple commands. For instance, MTM:-sin is the same as sin, except that MTM:-sin(A) will map over the elements of A when A is an array. Other commands, such as MTM:-vertcat, offer new functionality: vertcat provides an easy way to combine arrays.

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All commands in this package work with table-based sparse arrays as well as rtable -based dense Arrays in addition to scalar values and symbolic expressions.

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Boolean-valued functions in this package typically operate with 1 and 0 as the true/false values.

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The following is a list of commands available in the MTM package:

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Since the MTM package uses names that are the same as many top-level Maple commands, users should be careful after executing with(MTM). Some commands inside MTM behave differently or accept a different calling sequence than the top-level commands of the same name.

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$A≔\mathrm{Array}\left(\left[1\,2\,3\right]\right)$

$A≔\left[\begin{array}{ccc}1& 2& 3\end{array}\right]$

(1)

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$B≔\mathrm{Array}\left(\left[4\,5\,6\right]\right)$

$B≔\left[\begin{array}{ccc}4& 5& 6\end{array}\right]$

(2)

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$C≔\mathrm{MTM}:-\mathrm{vertcat}\left(A\,B\right)$

$C≔\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right]$

(3)

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$\mathrm{r1}≔\mathrm{MTM}:-\sin \left(C\right)$

$\mathrm{r1}≔\left[\begin{array}{ccc}\sin \left(1\right)& \sin \left(2\right)& \sin \left(3\right)\\ \sin \left(4\right)& \sin \left(5\right)& \sin \left(6\right)\end{array}\right]$

(4)

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$\mathrm{r2}≔\mathrm{MTM}:-\cos \left(\mathrm{MTM}:-\mathrm{plus}\left(C\,\frac{3\mathrm{\pi }}{2}\right)\right)$

$\mathrm{r2}≔\left[\begin{array}{ccc}\sin \left(1\right)& \sin \left(2\right)& \sin \left(3\right)\\ \sin \left(4\right)& \sin \left(5\right)& \sin \left(6\right)\end{array}\right]$

(5)

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$\mathrm{MTM}:-\mathrm{eq}\left(\mathrm{r1}\,\mathrm{r2}\right)$

$\left[\begin{array}{ccc}1& 1& 1\\ 1& 1& 1\end{array}\right]$

(6)

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$\mathrm{MTM}:-\mathrm{double}\left(\mathrm{r1}\right)$

$\left[\begin{array}{ccc}0.841470984807897& 0.909297426825682& 0.141120008059867\\ \mathrm{-0.756802495307928}& \mathrm{-0.958924274663138}& \mathrm{-0.279415498198926}\end{array}\right]$

(7)