"equivariant" meaning in English

See equivariant in All languages combined, or Wiktionary

Adjective

Etymology: equi- + variant Etymology templates: {{prefix|en|equi|variant}} equi- + variant Head templates: {{en-adj|-}} equivariant (not comparable)
  1. (mathematics, of a function) Not affected by a specified group action. Wikipedia link: equivariant Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-equivariant-en-adj-j80jtgvt Categories (other): English entries with incorrect language header, English terms prefixed with equi- Topics: mathematics, sciences

Download JSON data for equivariant meaning in English (1.4kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "equi",
        "3": "variant"
      },
      "expansion": "equi- + variant",
      "name": "prefix"
    }
  ],
  "etymology_text": "equi- + variant",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "equivariant (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "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 equi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "f:S→T is equivariant with respect to g,!: for every s,! in S,!, g_T,!f(s)=f(g_S,!s), where g_S,! and g_T,! are actions on different sets of the same group."
        }
      ],
      "glosses": [
        "Not affected by a specified group action."
      ],
      "id": "en-equivariant-en-adj-j80jtgvt",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function"
        ],
        [
          "affect",
          "affect"
        ],
        [
          "group",
          "group"
        ],
        [
          "action",
          "action"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a function) Not affected by a specified group action."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "equivariant"
      ]
    }
  ],
  "word": "equivariant"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "equi",
        "3": "variant"
      },
      "expansion": "equi- + variant",
      "name": "prefix"
    }
  ],
  "etymology_text": "equi- + variant",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "equivariant (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with equi-",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "f:S→T is equivariant with respect to g,!: for every s,! in S,!, g_T,!f(s)=f(g_S,!s), where g_S,! and g_T,! are actions on different sets of the same group."
        }
      ],
      "glosses": [
        "Not affected by a specified group action."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function"
        ],
        [
          "affect",
          "affect"
        ],
        [
          "group",
          "group"
        ],
        [
          "action",
          "action"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a function) Not affected by a specified group action."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "equivariant"
      ]
    }
  ],
  "word": "equivariant"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.