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

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Subject	Re: How to I get Maple to spit out 1?
Date	Thu, 14 Jul 2011 22:30:16 +0200
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Axel Vogt schrieb:
> On 14.07.2011 01:27, Salmon Egg wrote:
> >
> > 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.
> >
> > [...]
> 
> 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.
> 
> [...]

Derive 6.10 handles this automatically. Here is the stepwise
simplification:

x*EXP(-1/2*x)/(2*SINH(1/2*x))*((EXP(x)-1)/x)

" SINH(z) -> #e^z/2-#e^(-z)/2 "

x*#e^(-x/2)*(#e^x-1)/(2*x*(#e^(x/2)/2-#e^(-x/2)/2))

" e^(z)*#e^(w) -> #e^(z+w) "

(x*#e^(x/2)-x*#e^(-x/2))/(2*x*(#e^(x/2)/2-#e^(-x/2)/2))

" one final step "

1

Martin.

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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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