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Re: How to I get Maple to spit out 1?

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From "G. A. Edgar" <edgar@math.ohio-state.edu.invalid>
Newsgroups comp.soft-sys.math.maple, sci.math.symbolic
Subject Re: How to I get Maple to spit out 1?
Date Thu, 14 Jul 2011 06:20:15 -0600
Organization Ohio State Univ
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> > I already know the answer.
> >
> > If I get to an expression
> >
> >   z := x*exp(-(1/2)*x)/(2*sinh((1/2)*x))*((exp(x)-1)/x)
> >
> > How do I get Maple to spit out 1? simplify does not do it.
> >
> > I looked at the help for simplify, and looked up convert and then See
> > Also. That looked promising, so I went to help on Convert. Convert had a
> > bus load of optional arguments. exp looked promising and worked, much to
> > my pleasant surprise.
> >
> > If I were even less knowledgeable than I am, how could I go about
> > finding a correct approach? Is it merely an empirical search? Is there a
> > guidebook? Suppose I had a much more complicated expression, say with
> > radicals and Bessel functions. Us there a cookbook approach to
> > simplification?
> 
> For guessing I often just plot as a first step ...
> 
> Difficult to say, though I would expect that Maple would try
> to convert hyperbolics to exp, as we would do, since other
> exp terms are present.
> 
> The simplification problem is not specific for Maple, but it
> is a problem in any symbolic software system (thus I included
> sci.math.symbolic)

As noted, in this case convert(r,exp); works.  But also as noted, there
is no algorithm that always works!

-- 
G. A. Edgar                              http://www.math.ohio-state.edu/~edgar/

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Thread

How to I get Maple to spit out 1? Salmon Egg <SalmonEgg@sbcglobal.net> - 2011-07-13 16:27 -0700
  Re: How to I get Maple to spit out 1? Axel Vogt <&noreply@axelvogt.de> - 2011-07-14 09:24 +0200
    Re: How to I get Maple to spit out 1? "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2011-07-14 06:20 -0600
    Re: How to I get Maple to spit out 1? Salmon Egg <SalmonEgg@sbcglobal.net> - 2011-07-14 05:23 -0700
      Re: How to I get Maple to spit out 1? Axel Vogt <&noreply@axelvogt.de> - 2011-07-14 21:48 +0200
    Re: How to I get Maple to spit out 1? Evan24 <ha15@earthlink.net> - 2011-07-14 15:19 +0000
    Re: How to I get Maple to spit out 1? clicliclic@freenet.de - 2011-07-14 22:30 +0200

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