"bilinear" meaning in English

See bilinear in All languages combined, or Wiktionary

Adjective

IPA: /baɪˈlɪn.i.ə/ [UK], /baɪˈlɪn.i.ɚ/ [Canada, US], /bɑɪˈlɪn.i.ə/ [General-Australian]
Etymology: From bi- + linear. Etymology templates: {{prefix|en|bi|linear}} bi- + linear Head templates: {{en-adj|-}} bilinear (not comparable)
  1. (linear algebra, of a function in two variables) Linear (preserving linear combinations) in each variable. Tags: not-comparable Categories (topical): Linear algebra Translations ((mathematics) linear in each of two variables): bilineární (Czech), bilineaarinen (Finnish), bilinéaire (French), bilinear (German), bilineare (Italian), dwuliniowy (Polish), билине́йный (bilinéjnyj) (Russian), bilineal (Spanish)
    Sense id: en-bilinear-en-adj-lyoI3-Ji Categories (other): English entries with incorrect language header, English terms prefixed with bi- Disambiguation of English entries with incorrect language header: 54 37 9 Disambiguation of English terms prefixed with bi-: 43 34 23 Topics: linear-algebra, mathematics, sciences Disambiguation of '(mathematics) linear in each of two variables': 76 24
  2. (complex analysis, physics, engineering) Of or pertaining to a Möbius transformation (type of conformal map representable as the ratio of two linear functions). Tags: not-comparable Categories (topical): Complex analysis, Engineering, Physics
    Sense id: en-bilinear-en-adj-yEgzlDyC Topics: complex-analysis, engineering, mathematics, natural-sciences, physical-sciences, physics, sciences
The following are not (yet) sense-disambiguated
Derived forms: bilinear form, bilinear transformation, bilinearity, bilinearization, bilinearly Related terms: multilinear

Noun

IPA: /baɪˈlɪn.i.ə/ [UK], /baɪˈlɪn.i.ɚ/ [Canada, US], /bɑɪˈlɪn.i.ə/ [General-Australian] Forms: bilinears [plural]
Etymology: From bi- + linear. Etymology templates: {{prefix|en|bi|linear}} bi- + linear Head templates: {{en-noun}} bilinear (plural bilinears)
  1. (linear algebra) A bilinear function. Categories (topical): Linear algebra
    Sense id: en-bilinear-en-noun-w1nJKBYb Topics: linear-algebra, mathematics, sciences

Inflected forms

Download JSON data for bilinear meaning in English (5.5kB)

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    {
      "code": "cs",
      "lang": "Czech",
      "sense": "(mathematics) linear in each of two variables",
      "word": "bilineární"
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      "lang": "German",
      "sense": "(mathematics) linear in each of two variables",
      "word": "bilinear"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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