Simplifying formal expression thanks to numerical value
Subject: Simplifying formal expression thanks to numerical value
From: Richard Fateman
Date: Thu, 29 Aug 2013 07:17:43 -0700
On 8/29/13 6:54 AM, vincent binet wrote:
> Hi all,
>
> i'm new in Maxima but i think he can do what i want.
>
> I want to simplify formal expression given that i know numerical
> evaluation of some terms in the expression.
> Let's take an example to clarify :
>
> i want to symplify the expression expr :
> expr: a*sqrt(b+c) ;
> By numerical application, i know that c is negligible compared to b
> (i.e. c/b << 1), so i'm looking to a maxima function that will give me
> the results
> expr: a*sqrt(b)
>
> I don't know if this function exists in maxima. I didn't find it in
> the documentation.
> But i'm sure there is a way to do it.
> Do you have any hints ?
>
> Thanks beforehand
>
> best regards,
>
> Vincent
>
>
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express c as a taylor series in epsilon, like this:
a*sqrt(b+ taylor(c*eps,eps,0,1));
then drop the terms in eps.
subst(0,eps,%);