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In Maple, how do I define a number as a positive real, so that, for example, sqrt(x*x)=x ?

One way to define a number as a positive real in Maple is to use the following command:

> assume(x>0):

Alternatively, if you do not want to impose that assumption, use:

> simplify( sqrt(x*x), symbolic);

If you also want to specify that x is real and -1<x<1, use:

> additionally( abs(x)<1 );

Note: x will then be between 0 and 1, which you can verify with:

> about(x);

If you want only the second assumption to restore x to its original, unmodified state, use the following commands:

> x := 'x'; > assume(x,RealRange(-1,1));

For more about statistical and mathematical software, email the UITS Stat/Math Center, visit the center's web page, or phone 812-855-4724 (IUB) or 317-278-4740 (IUPUI). The center is located in Bloomington at 410 N. Park Avenue, and is open for consultation by appointment Monday-Friday 9am-5pm.

This is document afkq in domain all.
Last modified on May 17, 2011.

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