Difference between revisions of "Functional differentiation"
From HaskellWiki
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| + | == Introduction == | ||
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| + | Functional differentiation means computing or approximating the deriviative of a function. | ||
| + | There are several ways to do this: | ||
| + | * Approximate the derivative <math>f'(x)</math> by <math>\frac{f(x+h)-f(x)}{h}</math> where <math>h</math> is close to zero. (or at best the square root of the machine precision <math>\varepsilon</math>. | ||
| + | * Compute the derivative of <math>f</math> symbolically. This approach is particularly interesting for Haskell. | ||
| + | |||
== Blog Posts == | == Blog Posts == | ||
Revision as of 12:31, 20 June 2007
Introduction
Functional differentiation means computing or approximating the deriviative of a function. There are several ways to do this:
- Approximate the derivative
by 
where 
is close to zero. (or at best the square root of the machine precision 
. - Compute the derivative of
symbolically. This approach is particularly interesting for Haskell.
Blog Posts
There have been several blog posts on this recently. I think we should gather the information together and make a nice wiki article on it here. For now, here are links to articles on the topic.