Orthogonal Functions

From ExoDictionary
Revision as of 17:00, 30 April 2007 by Autostub3 (Talk)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
This definition page has been automatically generated.
You can help ExoDictionary by expanding, updating, or correcting it.

This autostub has not yet had its initial copyediting proof and may contain significant formatting and even factual errors. You can improve Exodictionary by cleaning up the page markup and verifying that the definition is correct and then removing this tag.

This autostub has not yet had its initial categorization proof and may be categorized incorrectly. You can improve Exodictionary by removing inappropriate categories and then removing this tag.

Orthogonal Functions

A set of functions, any two of which, by analogy to orthogonal vectors, vanish if their product is summed by integration over a specified interval. </dd>
For example, f(x) and g(x) are orthogonal in the interval x = a to x = b if

Missing Image:img src="SP7_o_files/ortho1.gif"

The functions are also said to be normal if

Missing Image:img src="SP7_o_files/ortho2.gif"
The most familiar examples of such functions,

many of which have great importance in mathematical physics, are the sine and cosine functions between zero and 2pi. </dd>


This article is based on NASA's Dictionary of Technical Terms for Aerospace Use