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
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