BILINEAR

bilinear

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

Source: WordNet® 3.1


Etymology

Adjective

bilinear (not comparable)

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

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


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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Word of the Day

29 November 2024

POPULATED

(adjective) furnished with inhabitants; “the area is well populated”; “forests populated with all kinds of wild life”


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Coffee Trivia

Coffee starts as a yellow berry, changes into a red berry, and then is picked by hand to harvest. The red berry is de-shelled through a water soaking process and what’s left inside is the green coffee bean. This bean then dries in the sun for 3-5 days, where it is then packed and ready for sale.

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