Path: utzoo!utgpu!watserv1!watcgl!ksbooth
From: ksbooth@watcgl.waterloo.edu (Kelly Booth)
Newsgroups: comp.graphics
Subject: Re: Looking for a word
Message-ID: <12942@watcgl.waterloo.edu>
Date: 15 Jan 90 03:51:34 GMT
References: <447@fsu.scri.fsu.edu>
Reply-To: ksbooth@watcgl.waterloo.edu (Kelly Booth)
Distribution: na
Organization: U. of Waterloo, Ontario
Lines: 13

In article <447@fsu.scri.fsu.edu> pepke@scri1.scri.fsu.edu (Eric Pepke) writes:
>I am looking for a word to describe a property of transformations and other
>mappings.  The property is this:  Say I have a mapping from R(n) to R(n)
>where n is greater than one.  Call the independent variable in the dimension
>k where 1 <= k <= n a(k) and the dependent variable b(k).  If the mapping
>has this property for which I need a name, b(i) is not dependent on a(j)
>when i is not equal to j.

Separable?

F(a1,a2,...,an) = [f1(a1),f2(a2),...,fn(an)]

Mappings as above are often said to be "defined componentwise".