Bilinear
Definition, Meaning & Examples
Pronunciation /baɪˈlɪn.i.ə/ · Part of speech adjective
Quick meaning: Bilinear is an adjective meaning (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
Meaning
(linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
More Meanings
- (linear algebra) A bilinear function.
- (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
Example Sentences
bilinear isotropic hardening
The function f(x,y)#61;xy is bilinear, because f(ax#43;bu,y)#61;af(x,y)#43;bf(u,y) and f(x,ay#43;bv)#61;af(x,y)#43;bf(x,v) for all values.
Word Forms
- bilinears
Synonyms for bilinear
Depending on context, synonyms include additive, linear.
Related Words
Related dictionary entries include linear, additive, resampling, multilinear, sesquilinear, dual.
Related Dictionary Tools
Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.