BILINEAR

bilinear

(adjective) linear with respect to each of two variables or positions

Source: WordNet® 3.1

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Etymology

Adjective

bilinear (not comparable)

(linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.

The function $\backslash (f(x,y)=xy\backslash )$ is bilinear, because $\backslash (f(ax+bu,y)=af(x,y)+bf(u,y)\backslash )$ and $\backslash (f(x,ay+bv)=af(x,y)+bf(x,v)\backslash )$ for all values.

(complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).

Noun

bilinear (plural bilinears)

(linear algebra) A bilinear function.

Anagrams

• Liberian

Source: Wiktionary

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Bi*lin"e*ar, a. (Math.)

Definition: Of, pertaining to, or included by, two lines; as, bilinear coördinates.

Source: Webster’s Unabridged Dictionary 1913 Edition

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