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Message from discussion simple? transform/solve problem

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From: Paul <P...@noreply.com>
Newsgroups: comp.soft-sys.math.maple
Subject: Re: simple? transform/solve problem
Date: Thu, 25 Oct 2012 12:29:48 +0200
Organization: University of Magdeburg, Germany
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 >> next problem I've:
 >>
 >>
 >>
 >>   > U(s) = (L*s+R)*Ii(s)
 >>
 >>
 >>
 >>     U(s) = (L*s+R)*Ii(s)            (4.4)
 >>
 >>
 >>
 >>   > (4.4)/( (U(s)*remove(has, rhs(4.4)), Ii(s)) )
 >>
 >>
 >>
 >>     1/(L*s+R) = Ii(s)/U(s)          (4.5)
 >>
 >>
 >>
 >> How can I transform it into
 >>
 >>
 >>
 >> (1/R) / (L/R*s + 1)
 >>
 >>
 >>
 >> normal(4.5) won't work. BTW, how is this named
 >>
 >> (the form a_n * s^n + ... + 1)?
 >>
 >>
 >>
 >> Thanks,
 >>
 >> Paul
 >
 >
 > restart:
 >
 > expr := 1/(L*s+R);
 >                                            1
 >                                 expr := -------
 >                                         L s + R
 >
 > T := coeff(denom(expr),s,0);
 >                                     T := R
 >
 >
 > 1/( T*expand(denom(expr)/T) );
 >                                        1
 >                                   -----------
 >                                     /L s    \
 >                                   R |--- + 1|
 >                                     \ R     /
 >
 >

thank you, so only a handcrafted way is possible ..