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Words, grammatical forms and meanings linked to the ontology.

bilinear en · ADJ

Pronunciation

  • (Southern-England) audio
  • /baɪˈlɪn.i.ə/ (UK)
  • /baɪˈlɪn.i.ɚ/ (Canada, US)
  • /bɑɪˈlɪn.i.ə/ (Australia)

Etymology

Etymology tree Proto-Indo-European *dwóh₁ Proto-Indo-European *dwi- Proto-Italic *dwi- Latin bi-bor. English bi- Proto-Indo-European *līnomder. Proto-Italic *līnom Latin līnum Proto-Indo-European *-éyos Proto-Italic *-ejos Proto-Italic *-eos Latin -eus Latin līneus Latin līnea Proto-Indo-European *h₂el- Proto-Indo-European *-is Proto-Indo-European *h₂élisder.? Proto-Italic *-ālis Latin -ālis Latin -āris Latin līneārisbor. English linear English bilinear From bi- + linear.

Meanings

  1. (not-comparable, of a function in two variables) Linear (preserving linear combinations) in each variable.
    • 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.
  2. (not-comparable) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).
    • bilinear isotropic hardening

Deriveds

bilinearization · bilinearly · bilinearity · bilinearize · bilinear form · bilinear transformation

Relateds

multilinear

Translations (8)

it bilineare ((mathematics) linear in each of two variables) · ru билине́йный ((mathematics) linear in each of two variables) · fi bilineaarinen ((mathematics) linear in each of two variables) · fr bilinéaire ((mathematics) linear in each of two variables) · cs bilineární ((mathematics) linear in each of two variables) · pl dwuliniowy ((mathematics) linear in each of two variables) · es bilineal ((mathematics) linear in each of two variables) · de bilinear ((mathematics) linear in each of two variables)

bilinear en · NOUN

Pronunciation

  • (Southern-England) audio
  • /baɪˈlɪn.i.ə/ (UK)
  • /baɪˈlɪn.i.ɚ/ (Canada, US)
  • /bɑɪˈlɪn.i.ə/ (Australia)

Etymology

Etymology tree Proto-Indo-European *dwóh₁ Proto-Indo-European *dwi- Proto-Italic *dwi- Latin bi-bor. English bi- Proto-Indo-European *līnomder. Proto-Italic *līnom Latin līnum Proto-Indo-European *-éyos Proto-Italic *-ejos Proto-Italic *-eos Latin -eus Latin līneus Latin līnea Proto-Indo-European *h₂el- Proto-Indo-European *-is Proto-Indo-European *h₂élisder.? Proto-Italic *-ālis Latin -ālis Latin -āris Latin līneārisbor. English linear English bilinear From bi- + linear.

Meanings

  1. A bilinear function.

Forms

SpellingFeaturesLabelsSource
bilinears Number=Plur lexicographic