"covariant" meaning in English

See covariant in All languages combined, or Wiktionary

Adjective

Audio: LL-Q1860 (eng)-Flame, not lame-covariant.wav
Etymology: From co- + variant. Etymology templates: {{prefix|en|co|variant}} co- + variant Head templates: {{en-adj|-}} covariant (not comparable)
  1. (category theory, of a functor) Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y). Tags: not-comparable Categories (topical): Category theory Translations (which preserves composition): kovariantti (Finnish), covariant (French), kovariant (German), सहपरिवर्ती (sahaprivartī) (Hindi), covariante (Portuguese)
    Sense id: en-covariant-en-adj-Gwi6uzym Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences Disambiguation of 'which preserves composition': 94 6
  2. (object-oriented programming) Using or relating to covariance. Tags: not-comparable Categories (topical): Object-oriented programming Translations (relating to covariance): kovariantti (Finnish), covariant (French), kovariant (German), सहपरिवर्ती (sahaprivartī) (Hindi)
    Sense id: en-covariant-en-adj-2ldhsg3G Disambiguation of 'relating to covariance': 6 94
The following are not (yet) sense-disambiguated
Derived forms: bicovariant, covariantisation, covariantization, covariantize, covariantly, Frobenius covariant, noncovariant, semicovariant, supercovariant

Noun

Audio: LL-Q1860 (eng)-Flame, not lame-covariant.wav Forms: covariants [plural]
Etymology: From co- + variant. Etymology templates: {{prefix|en|co|variant}} co- + variant Head templates: {{en-noun}} covariant (plural covariants)
  1. (algebra) A bihomogeneous polynomial in 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 (bihomogeneous polynomial...): सहपरिवर्ती (sahaprivartī) (Hindi)
    Sense id: en-covariant-en-noun-fDAQljIB Categories (other): English entries with incorrect language header, English terms prefixed with co-, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Hindi translations, Terms with Portuguese translations Disambiguation of English entries with incorrect language header: 31 4 53 12 Disambiguation of English terms prefixed with co-: 24 21 33 23 Disambiguation of Entries with translation boxes: 34 8 47 10 Disambiguation of Pages with 1 entry: 25 5 56 14 Disambiguation of Pages with entries: 21 4 69 6 Disambiguation of Terms with Finnish translations: 27 11 50 12 Disambiguation of Terms with French translations: 26 9 50 14 Disambiguation of Terms with German translations: 26 11 50 12 Disambiguation of Terms with Hindi translations: 29 11 45 15 Disambiguation of Terms with Portuguese translations: 24 11 52 13 Topics: algebra, mathematics, sciences Disambiguation of 'bihomogeneous polynomial...': 91 9
  2. (algebra) The variety defined by a covariant. Categories (topical): Algebra Translations (variety defined by a covariant): सहपरिवर्ती (sahaprivartī) (Hindi)
    Sense id: en-covariant-en-noun-YdUe5tjC Topics: algebra, mathematics, sciences Disambiguation of 'variety defined by a covariant': 1 99

Inflected forms

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "bicovariant"
    },
    {
      "_dis1": "0 0",
      "word": "covariantisation"
    },
    {
      "_dis1": "0 0",
      "word": "covariantization"
    },
    {
      "_dis1": "0 0",
      "word": "covariantize"
    },
    {
      "_dis1": "0 0",
      "word": "covariantly"
    },
    {
      "_dis1": "0 0",
      "word": "Frobenius covariant"
    },
    {
      "_dis1": "0 0",
      "word": "noncovariant"
    },
    {
      "_dis1": "0 0",
      "word": "semicovariant"
    },
    {
      "_dis1": "0 0",
      "word": "supercovariant"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "variant"
      },
      "expansion": "co- + variant",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + variant.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "covariant (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "antonyms": [
        {
          "word": "contravariant"
        }
      ],
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y)."
      ],
      "id": "en-covariant-en-adj-Gwi6uzym",
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "functor",
          "functor"
        ],
        [
          "preserves",
          "preserves"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "composition",
          "composition"
        ],
        [
          "associate",
          "associate"
        ]
      ],
      "raw_glosses": [
        "(category theory, of a functor) Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y)."
      ],
      "raw_tags": [
        "of a functor"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "94 6",
          "code": "fi",
          "lang": "Finnish",
          "sense": "which preserves composition",
          "word": "kovariantti"
        },
        {
          "_dis1": "94 6",
          "code": "fr",
          "lang": "French",
          "sense": "which preserves composition",
          "word": "covariant"
        },
        {
          "_dis1": "94 6",
          "code": "de",
          "lang": "German",
          "sense": "which preserves composition",
          "word": "kovariant"
        },
        {
          "_dis1": "94 6",
          "code": "hi",
          "lang": "Hindi",
          "roman": "sahaprivartī",
          "sense": "which preserves composition",
          "word": "सहपरिवर्ती"
        },
        {
          "_dis1": "94 6",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "which preserves composition",
          "word": "covariante"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Object-oriented programming",
          "orig": "en:Object-oriented programming",
          "parents": [
            "Programming",
            "Computing",
            "Software engineering",
            "Technology",
            "Computer science",
            "Engineering",
            "Software",
            "All topics",
            "Sciences",
            "Applied sciences",
            "Media",
            "Fundamental",
            "Communication"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Using or relating to covariance."
      ],
      "id": "en-covariant-en-adj-2ldhsg3G",
      "links": [
        [
          "object-oriented programming",
          "object-oriented programming"
        ],
        [
          "covariance",
          "covariance"
        ]
      ],
      "qualifier": "object-oriented programming",
      "raw_glosses": [
        "(object-oriented programming) Using or relating to covariance."
      ],
      "tags": [
        "not-comparable"
      ],
      "translations": [
        {
          "_dis1": "6 94",
          "code": "fi",
          "lang": "Finnish",
          "sense": "relating to covariance",
          "word": "kovariantti"
        },
        {
          "_dis1": "6 94",
          "code": "fr",
          "lang": "French",
          "sense": "relating to covariance",
          "word": "covariant"
        },
        {
          "_dis1": "6 94",
          "code": "de",
          "lang": "German",
          "sense": "relating to covariance",
          "word": "kovariant"
        },
        {
          "_dis1": "6 94",
          "code": "hi",
          "lang": "Hindi",
          "roman": "sahaprivartī",
          "sense": "relating to covariance",
          "word": "सहपरिवर्ती"
        }
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-covariant.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.ogg"
    }
  ],
  "word": "covariant"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "variant"
      },
      "expansion": "co- + variant",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + variant.",
  "forms": [
    {
      "form": "covariants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "covariant (plural covariants)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "31 4 53 12",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "24 21 33 23",
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "34 8 47 10",
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "25 5 56 14",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "21 4 69 6",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "27 11 50 12",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "26 9 50 14",
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "26 11 50 12",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "29 11 45 15",
          "kind": "other",
          "name": "Terms with Hindi translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "24 11 52 13",
          "kind": "other",
          "name": "Terms with Portuguese translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations."
      ],
      "id": "en-covariant-en-noun-fDAQljIB",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "bihomogeneous",
          "bihomogeneous"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "invariant",
          "invariant"
        ]
      ],
      "raw_glosses": [
        "(algebra) A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "91 9",
          "code": "hi",
          "lang": "Hindi",
          "roman": "sahaprivartī",
          "sense": "bihomogeneous polynomial...",
          "word": "सहपरिवर्ती"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The variety defined by a covariant."
      ],
      "id": "en-covariant-en-noun-YdUe5tjC",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "variety",
          "variety"
        ]
      ],
      "raw_glosses": [
        "(algebra) The variety defined by a covariant."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "1 99",
          "code": "hi",
          "lang": "Hindi",
          "roman": "sahaprivartī",
          "sense": "variety defined by a covariant",
          "word": "सहपरिवर्ती"
        }
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-covariant.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.ogg"
    }
  ],
  "word": "covariant"
}
{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with co-",
    "English uncomparable adjectives",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Hindi translations",
    "Terms with Portuguese translations"
  ],
  "derived": [
    {
      "word": "bicovariant"
    },
    {
      "word": "covariantisation"
    },
    {
      "word": "covariantization"
    },
    {
      "word": "covariantize"
    },
    {
      "word": "covariantly"
    },
    {
      "word": "Frobenius covariant"
    },
    {
      "word": "noncovariant"
    },
    {
      "word": "semicovariant"
    },
    {
      "word": "supercovariant"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "variant"
      },
      "expansion": "co- + variant",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + variant.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "covariant (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "antonyms": [
        {
          "word": "contravariant"
        }
      ],
      "categories": [
        "en:Category theory"
      ],
      "glosses": [
        "Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y)."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "functor",
          "functor"
        ],
        [
          "preserves",
          "preserves"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "composition",
          "composition"
        ],
        [
          "associate",
          "associate"
        ]
      ],
      "raw_glosses": [
        "(category theory, of a functor) Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y)."
      ],
      "raw_tags": [
        "of a functor"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Object-oriented programming"
      ],
      "glosses": [
        "Using or relating to covariance."
      ],
      "links": [
        [
          "object-oriented programming",
          "object-oriented programming"
        ],
        [
          "covariance",
          "covariance"
        ]
      ],
      "qualifier": "object-oriented programming",
      "raw_glosses": [
        "(object-oriented programming) Using or relating to covariance."
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-covariant.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.ogg"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "which preserves composition",
      "word": "kovariantti"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "which preserves composition",
      "word": "covariant"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "which preserves composition",
      "word": "kovariant"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "sahaprivartī",
      "sense": "which preserves composition",
      "word": "सहपरिवर्ती"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "which preserves composition",
      "word": "covariante"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "relating to covariance",
      "word": "kovariantti"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "relating to covariance",
      "word": "covariant"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "relating to covariance",
      "word": "kovariant"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "sahaprivartī",
      "sense": "relating to covariance",
      "word": "सहपरिवर्ती"
    }
  ],
  "word": "covariant"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with co-",
    "English uncomparable adjectives",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Hindi translations",
    "Terms with Portuguese translations"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "variant"
      },
      "expansion": "co- + variant",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + variant.",
  "forms": [
    {
      "form": "covariants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "covariant (plural covariants)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Algebra"
      ],
      "glosses": [
        "A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "bihomogeneous",
          "bihomogeneous"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "invariant",
          "invariant"
        ]
      ],
      "raw_glosses": [
        "(algebra) A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Algebra"
      ],
      "glosses": [
        "The variety defined by a covariant."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "variety",
          "variety"
        ]
      ],
      "raw_glosses": [
        "(algebra) The variety defined by a covariant."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-covariant.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/0e/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-covariant.wav.ogg"
    }
  ],
  "translations": [
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "sahaprivartī",
      "sense": "bihomogeneous polynomial...",
      "word": "सहपरिवर्ती"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "sahaprivartī",
      "sense": "variety defined by a covariant",
      "word": "सहपरिवर्ती"
    }
  ],
  "word": "covariant"
}

Download raw JSONL data for covariant meaning in English (6.0kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). 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.