bilinear

English

From bi- +‎ linear.

bilinear (not comparable)

(linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
The function ${\\displaystyle f(x,y)=xy}$ is bilinear, because ${\\displaystyle f(ax+bu,y)=af(x,y)+bf(u,y)}$ and ${\\displaystyle f(x,ay+bv)=af(x,y)+bf(x,v)}$ 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).
bilinear isotropic hardening

(mathematics) linear in each of two variables

bilinear (plural bilinears)

bilinear (not comparable)

Declension of bilinear

number & gender		singular			plural
number & gender		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