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bilinear.

Linear (preserving linear combinations) in each variable.

8 characters3 syllables approx.English language

Meaning & usage

adj/baɪˈlɪn.i.ə/UK/baɪˈlɪn.i.ɚ/Canada, US/bɑɪˈlɪn.i.ə/Australia

  1. Linear (preserving linear combinations) in each variable.

    not-comparable
    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. Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).

    not-comparable
    bilinear isotropic hardening
Where this word comes from

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.

noun/baɪˈlɪn.i.ə/UK/baɪˈlɪn.i.ɚ/Canada, US/bɑɪˈlɪn.i.ə/Australia

  1. A bilinear function.

Where this word comes from

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.

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.