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[Axiom-developer] [#176 Factored Polynomials aren't differentiated corre
From: |
kratt6 |
Subject: |
[Axiom-developer] [#176 Factored Polynomials aren't differentiated correctly] Fix |
Date: |
Tue, 21 Jun 2005 05:55:23 -0500 |
Changes
http://page.axiom-developer.org/zope/mathaction/176FactoredPolynomialsArentDifferentiatedCorrectly/diff
--
??changed:
-It intends to use the formula
-
It intends to use the formula
$$\frac{d}{dx} f(x)) = \sum_{i=1}^n \frac{f(x)}{f_i(x)}\frac{d}{dx}f_i(x)$$
where
$$f(x)=\prod_{i=1}^n f_i(x).$$
Therefore, the fix is to leave away the 'fr'::
differentiate(u:%, deriv: R -> R) ==
ans := deriv(unit u) * ((u exquo unit(u)::%)::%)
ans + (_+/[fact.xpnt * deriv(fact.fctr) *
((u exquo nilFactor(fact.fctr, 1))::%) for fact in factorList u])
Martin
--
forwarded from http://page.axiom-developer.org/zope/mathaction/address@hidden
- [Axiom-developer] [#176 Factored Polynomials aren't differentiated correctly] Fix,
kratt6 <=