Lipschitz in All languages combined

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{
  "etymology_text": "Named after Rudolf Lipschitz.",
  "head_templates": [
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        "1": "-"
      },
      "expansion": "Lipschitz (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "name": "English entries with language name categories using raw markup",
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          "parents": [
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Fundamental"
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        }
      ],
      "derived": [
        {
          "word": "Lipschitz condition"
        },
        {
          "word": "Lipschitz constant"
        },
        {
          "word": "Lipschitz continuity"
        },
        {
          "word": "Lipschitz continuous"
        },
        {
          "word": "Lipschitzian"
        }
      ],
      "glosses": [
        "(Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
      ],
      "id": "en-Lipschitz-en-adj-W9dToxTU",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) (Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Lipschitz"
}

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{
  "derived": [
    {
      "word": "Lipschitz condition"
    },
    {
      "word": "Lipschitz constant"
    },
    {
      "word": "Lipschitz continuity"
    },
    {
      "word": "Lipschitz continuous"
    },
    {
      "word": "Lipschitzian"
    }
  ],
  "etymology_text": "Named after Rudolf Lipschitz.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Lipschitz (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
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        "English entries with incorrect language header",
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        "English uncomparable adjectives",
        "en:Mathematical analysis",
        "en:Mathematics"
      ],
      "glosses": [
        "(Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) (Of a real-valued real function f) Such that there exists a constant K such that whenever x_1 and x_2 are in the domain of f, |f(x_1)-f(x_2)|≤K|x_1-x_2|."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Lipschitz"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-24 from the enwiktionary dump dated 2024-05-02 using wiktextract (46b31b8 and c7ea76d). 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.

"Lipschitz" meaning in All languages combined

Adjective [English]