"contravariant" meaning in All languages combined

See contravariant on Wiktionary

Adjective [English]

Head templates: {{en-adj|-}} contravariant (not comparable)
  1. (category theory, of a functor) Which reverses the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(Y)→F(X). Tags: not-comparable Categories (topical): Category theory Translations (which reverses composition): kontravariantti (Finnish), contravariant (French), kontravariant (German), contravariante (Portuguese), contravariant [masculine] (Romanian), kontravariant (Swedish)
    Sense id: en-contravariant-en-adj-bIuLXKMX Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences Disambiguation of 'which reverses composition': 79 10 11
  2. (object-oriented programming) Using or relating to contravariance. Tags: not-comparable Categories (topical): Object-oriented programming Translations (relating to contravariance): kontravariantti (Finnish), contravariant (French), kontravariant (German)
    Sense id: en-contravariant-en-adj-QsyPebDM Disambiguation of 'relating to contravariance': 20 72 9
  3. (linear algebra, of a vector) Scaling inversely with a change of basis. Tags: not-comparable Categories (topical): Linear algebra
    Sense id: en-contravariant-en-adj-dPfIs-ec Topics: linear-algebra, mathematics, sciences
The following are not (yet) sense-disambiguated
Derived forms: contravector

Noun [English]

Forms: contravariants [plural]
Head templates: {{en-noun}} contravariant (plural contravariants)
  1. (algebra) A bihomogeneous polynomial in dual variables of x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations. Categories (topical): Algebra Translations (translation): kontravariantti (Finnish)
    Sense id: en-contravariant-en-noun-9euAtAIY Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 25 7 27 41 Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for contravariant meaning in All languages combined (5.2kB)

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          "_dis1": "20 72 9",
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      "sense": "which reverses composition",
      "word": "kontravariantti"
    },
    {
      "code": "fr",
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      "sense": "which reverses composition",
      "word": "contravariant"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "which reverses composition",
      "word": "kontravariant"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "which reverses composition",
      "word": "contravariante"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "which reverses composition",
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      ],
      "word": "contravariant"
    },
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      "lang": "Swedish",
      "sense": "which reverses composition",
      "word": "kontravariant"
    },
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      "sense": "relating to contravariance",
      "word": "kontravariantti"
    },
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      "sense": "relating to contravariance",
      "word": "contravariant"
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    {
      "code": "de",
      "lang": "German",
      "sense": "relating to contravariance",
      "word": "kontravariant"
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  "word": "contravariant"
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}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.