bilinear
English
Adjective
bilinear (not comparable)
- (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable.
- The function is bilinear, because and 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
Derived terms
- bilinear form
- bilinear transformation
- bilinearization
- bilinearly
Related terms
Translations
(mathematics) linear in each of two variables
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German
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 | |
Related terms
Further reading
- bilinear in Duden online
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