"equicontinuous" meaning in English

See equicontinuous in All languages combined, or Wiktionary

Adjective

Etymology: equi- + continuous Etymology templates: {{prefix|en|equi|continuous}} equi- + continuous Head templates: {{en-adj|-}} equicontinuous (not comparable)
  1. (mathematics, of a family of functions) Such that all members are continuous, with equal variation in a given neighborhood. Tags: not-comparable Categories (topical): Mathematics Related terms: equicontinuity
    Sense id: en-equicontinuous-en-adj-P363J2Yj Categories (other): English entries with incorrect language header, English terms prefixed with equi- Topics: mathematics, sciences

Download JSON data for equicontinuous meaning in English (1.3kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "equi",
        "3": "continuous"
      },
      "expansion": "equi- + continuous",
      "name": "prefix"
    }
  ],
  "etymology_text": "equi- + continuous",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "equicontinuous (not comparable)",
      "name": "en-adj"
    }
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  "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"
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          "source": "w"
        },
        {
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          "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"
        }
      ],
      "glosses": [
        "Such that all members are continuous, with equal variation in a given neighborhood."
      ],
      "id": "en-equicontinuous-en-adj-P363J2Yj",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function"
        ],
        [
          "continuous",
          "continuous"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a family of functions) Such that all members are continuous, with equal variation in a given neighborhood."
      ],
      "raw_tags": [
        "of a family of functions"
      ],
      "related": [
        {
          "word": "equicontinuity"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "equicontinuous"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "equi",
        "3": "continuous"
      },
      "expansion": "equi- + continuous",
      "name": "prefix"
    }
  ],
  "etymology_text": "equi- + continuous",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "equicontinuous (not comparable)",
      "name": "en-adj"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "equicontinuity"
    }
  ],
  "senses": [
    {
      "categories": [
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        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with equi-",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "glosses": [
        "Such that all members are continuous, with equal variation in a given neighborhood."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "function",
          "function"
        ],
        [
          "continuous",
          "continuous"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a family of functions) Such that all members are continuous, with equal variation in a given neighborhood."
      ],
      "raw_tags": [
        "of a family of functions"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "equicontinuous"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.