"quasihyperbolic" meaning in English

See quasihyperbolic in All languages combined, or Wiktionary

Adjective

Etymology: quasi- + hyperbolic Etymology templates: {{prefix|en|quasi|hyperbolic}} quasi- + hyperbolic Head templates: {{en-adj|-}} quasihyperbolic (not comparable)
  1. (mathematics) Tags: empty-gloss, no-gloss, not-comparable Categories (topical): Mathematics
    Sense id: en-quasihyperbolic-en-adj-47DEQpj8 Categories (other): English entries with incorrect language header, English terms prefixed with quasi- Topics: mathematics, sciences

Download JSON data for quasihyperbolic meaning in English (1.6kB)

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    {
      "args": {
        "1": "en",
        "2": "quasi",
        "3": "hyperbolic"
      },
      "expansion": "quasi- + hyperbolic",
      "name": "prefix"
    }
  ],
  "etymology_text": "quasi- + hyperbolic",
  "head_templates": [
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        "1": "-"
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      "expansion": "quasihyperbolic (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": [
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            "Entry maintenance"
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          "source": "w"
        },
        {
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          "name": "English terms prefixed with quasi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang, “A density problem for Sobolev spaces on Gromov hyperbolic domains”, in arXiv",
          "text": "We prove that for a bounded domain #x5C;Omega#x5C;subset#x5C;mathbbRⁿ which is Gromov hyperbolic with respect to the quasihyperbolic metric, especially when #x5C;Omega is a finitely connected planar domain, the Sobolev space W#x7B;1,#x5C;,#x5C;infty#x7D;(#x5C;Omega) is dense in W#x7B;1,#x5C;,p#x7D;(#x5C;Omega) for any 1#x5C;lep#x3C;#x5C;infty.",
          "type": "quotation"
        }
      ],
      "id": "en-quasihyperbolic-en-adj-47DEQpj8",
      "links": [
        [
          "mathematics",
          "mathematics"
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      ],
      "raw_glosses": [
        "(mathematics)"
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      "tags": [
        "empty-gloss",
        "no-gloss",
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
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    }
  ],
  "word": "quasihyperbolic"
}
{
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    {
      "args": {
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        "2": "quasi",
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  ],
  "etymology_text": "quasi- + hyperbolic",
  "head_templates": [
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      "name": "en-adj"
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
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        "English uncomparable adjectives",
        "en:Mathematics"
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      "examples": [
        {
          "ref": "2016, Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang, “A density problem for Sobolev spaces on Gromov hyperbolic domains”, in arXiv",
          "text": "We prove that for a bounded domain #x5C;Omega#x5C;subset#x5C;mathbbRⁿ which is Gromov hyperbolic with respect to the quasihyperbolic metric, especially when #x5C;Omega is a finitely connected planar domain, the Sobolev space W#x7B;1,#x5C;,#x5C;infty#x7D;(#x5C;Omega) is dense in W#x7B;1,#x5C;,p#x7D;(#x5C;Omega) for any 1#x5C;lep#x3C;#x5C;infty.",
          "type": "quotation"
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        "not-comparable"
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  "word": "quasihyperbolic"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.

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