"antimorphism" meaning in All languages combined

See antimorphism on Wiktionary

Noun [English]

Forms: antimorphisms [plural]
Etymology: From anti- + morphism. Etymology templates: {{prefix|en|anti|morphism}} anti- + morphism Head templates: {{en-noun}} antimorphism (plural antimorphisms)
  1. (mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order. Categories (topical): Mathematics
    Sense id: en-antimorphism-en-noun--1r3UJko Categories (other): English entries with incorrect language header, English terms prefixed with anti-, Pages with 1 entry Topics: mathematics, sciences

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "anti",
        "3": "morphism"
      },
      "expansion": "anti- + morphism",
      "name": "prefix"
    }
  ],
  "etymology_text": "From anti- + morphism.",
  "forms": [
    {
      "form": "antimorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "antimorphism (plural antimorphisms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with anti-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1960, Indian Mathematical Society, Journal: New series, volume 24, page 602:",
          "text": "The transform u^λ of an element u of A by an automorphism or antimorphism of A has the same spectrum Sᵤ and the same minimal polynomial as u, and is semisimple if u is so.",
          "type": "quote"
        },
        {
          "ref": "2007, Michael Winter, Goguen Categories: A Categorical Approach to L-fuzzy Relations, page 26:",
          "text": "The meet of a set of antimorphisms is again an antimorphism.",
          "type": "quote"
        }
      ],
      "glosses": [
        "An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "id": "en-antimorphism-en-noun--1r3UJko",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "isomorphism",
          "isomorphism"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "object",
          "object"
        ],
        [
          "system",
          "system"
        ],
        [
          "image",
          "image"
        ],
        [
          "product",
          "product"
        ],
        [
          "value",
          "value"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "antimorphism"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "anti",
        "3": "morphism"
      },
      "expansion": "anti- + morphism",
      "name": "prefix"
    }
  ],
  "etymology_text": "From anti- + morphism.",
  "forms": [
    {
      "form": "antimorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "antimorphism (plural antimorphisms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with anti-",
        "English terms with quotations",
        "Pages with 1 entry",
        "Quotation templates to be cleaned",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1960, Indian Mathematical Society, Journal: New series, volume 24, page 602:",
          "text": "The transform u^λ of an element u of A by an automorphism or antimorphism of A has the same spectrum Sᵤ and the same minimal polynomial as u, and is semisimple if u is so.",
          "type": "quote"
        },
        {
          "ref": "2007, Michael Winter, Goguen Categories: A Categorical Approach to L-fuzzy Relations, page 26:",
          "text": "The meet of a set of antimorphisms is again an antimorphism.",
          "type": "quote"
        }
      ],
      "glosses": [
        "An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "isomorphism",
          "isomorphism"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "object",
          "object"
        ],
        [
          "system",
          "system"
        ],
        [
          "image",
          "image"
        ],
        [
          "product",
          "product"
        ],
        [
          "value",
          "value"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An isomorphism of a mathematical object or system of objects such that the image of a product of two values is the same as the product of the images of the two values in reverse order."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "antimorphism"
}

Download raw JSONL data for antimorphism meaning in All languages combined (1.8kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.