Definify.com
Webster 1913 Edition
Bilinear
Bi-lin′e-ar
,Adj.
(Math.)
Of, pertaining to, or included by, two lines;
as,
. bilinear
coördinatesDefinition 2024
bilinear
bilinear
English
Adjective
bilinear (not comparable)
- (mathematics, 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)=a·f(x,y)+b·f(u,y) and f(x,ay+bv)=a⋅f(x,y)+b·f(x,v) for all values.
- (physics) Relating to or consisting of two linear functions.
- bilinear isotropic hardening
Derived terms
Translations
(mathematics) linear in each variable
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Noun
bilinear (plural bilinears)
- (mathematics) A bilinear function
Anagrams
German
Adjective
bilinear (not comparable)
Declension
Declension of bilinear
number & gender | singular | plural | |||
---|---|---|---|---|---|
masculine | feminine | neuter | all genders | ||
predicative | er ist bilinear | sie ist bilinear | es ist bilinear | sie sind bilinear | |
strong declension (without article) |
nominative | bilinearer | bilineare | bilineares | bilineare |
genitive | bilinearen | bilinearer | bilinearen | bilinearer | |
dative | bilinearem | bilinearer | bilinearem | bilinearen | |
accusative | bilinearen | bilineare | bilineares | bilineare | |
weak declension (with definite article) |
nominative | der bilineare | die bilineare | das bilineare | die bilinearen |
genitive | des bilinearen | der bilinearen | des bilinearen | der bilinearen | |
dative | dem bilinearen | der bilinearen | dem bilinearen | den bilinearen | |
accusative | den bilinearen | die bilineare | das bilineare | die bilinearen | |
mixed declension (with indefinite article) |
nominative | ein bilinearer | eine bilineare | ein bilineares | (keine) bilinearen |
genitive | eines bilinearen | einer bilinearen | eines bilinearen | (keiner) bilinearen | |
dative | einem bilinearen | einer bilinearen | einem bilinearen | (keinen) bilinearen | |
accusative | einen bilinearen | eine bilineare | ein bilineares | (keine) bilinearen |