Standard Lemma guide

bilinear

adj · noun · 4 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • UK: /baɪˈlɪn.i.ə/
  • Canada, US: /baɪˈlɪn.i.ɚ/
  • Australian: /bɑɪˈlɪn.i.ə/
  • Southern-England: Recorded audio is listed in the source snapshot.

1

adj

Meaning 1

Linear (preserving linear combinations) in each variable.

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: linear-algebra, mathematics, sciences

Examples

  • 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.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 2

Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions).

Definition source: English Wiktionary via Wiktextract

Usage: not-comparable

Topics: complex-analysis, engineering, mathematics, natural-sciences, physical-sciences, physics, sciences

Examples

  • bilinear isotropic hardening

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

A bilinear function.

Definition source: English Wiktionary via Wiktextract

Topics: linear-algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

adjective satellite

Meaning 4

linear with respect to each of two variables or positions

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

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 *-yósder. Proto-Indo-European *-éyos Proto-Italic *-ejos Proto-Italic *-eos Latin -eus Latin līneus Latin līnea Proto-Indo-European *h2el-der.? Proto-Italic *-ālis Latin -ālis Latin -āris Latin līneārisbor. English linear English bilinear From bi- + linear.

Across languages

Translations

8 source translations are retained for this English entry.

  • Czech: bilineární — (mathematics) linear in each of two variables
  • Finnish: bilineaarinen — (mathematics) linear in each of two variables
  • French: bilinéaire — (mathematics) linear in each of two variables
  • German: bilinear — (mathematics) linear in each of two variables
  • Italian: bilineare — (mathematics) linear in each of two variables
  • Polish: dwuliniowy — (mathematics) linear in each of two variables
  • Russian: билине́йный (bilinéjnyj) — (mathematics) linear in each of two variables
  • Spanish: bilineal — (mathematics) linear in each of two variables
Real reading context

bilinear in complete knowledge articles