[A86] Re: Hey All, Some beginner Question :)


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[A86] Re: Hey All, Some beginner Question :)




  Thats a pile of crap, there is no simple algorithm for integration.
Integration by parts and substitution are just guessing games and tedius
algebra.  The integration algorithm is called the Risch Algorithm.  It isn't
what I would call a simple algorithm.  There's nice simple algorithms for
transendental functions (ie polynomial/polynomial) the only real difficulty
in integrating these is finding the symbolic zeroes of the polynomials.  As
far as I can tell for polynomials greater than degree 5, you're screwed.
Once you throw in trig functions or logarithms, you don't have a nice
algorithm.
  The algorithms are out there but they might not be on the web, check a
college library or amazon.com

Brandon Sterner

----- Original Message -----
From: "Elliott Bäck" <firstkiwi@hotmail.com>
To: <assembly-86@lists.ticalc.org>
Sent: Monday, June 03, 2002 3:12 PM
Subject: [A86] Re: Hey All, Some beginner Question :)


>
> >The hard part is that there aren't a lot of
> readily available resources for the algorithms.
>
> Well, I know for things like symbolic derivatives and integrals, there are
> easy to follow algorithms:
>
> DERIVATIVES:
> 1. Chain Rule
> 2. Power Rule
> 3. Product Rule
> 4. Quotient Rule
> 5. The derivative of the sums is the sum of the derivatives of the
> individual function
>
> etc.
>
> For Integrals there are more "rules" such as various substitutions,
> integration by parts, tabular integration, and table-lookup, but the
problem
> seems to be doable.  For 'basic' algebra, like factoring abstactly, I do
not
> know...
>
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References: