"biconservative" meaning in All languages combined

See biconservative on Wiktionary

Adjective [English]

Etymology: bi- + conservative Etymology templates: {{prefix|en|bi|conservative}} bi- + conservative Head templates: {{en-adj|-}} biconservative (not comparable)
  1. (mathematics) Satisfying the equation A(grad H) = -H grad H for the mean curvature function H and the Weingarten operator A. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-biconservative-en-adj-zO7zp39G Categories (other): English entries with incorrect language header, English terms prefixed with bi- Topics: mathematics, sciences

Download JSON data for biconservative meaning in All languages combined (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "conservative"
      },
      "expansion": "bi- + conservative",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + conservative",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "biconservative (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"
        },
        {
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          "name": "English terms prefixed with bi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Abhitosh Upadhyay, Nurettin Cenk Turgay, “Biconservative hypersurfaces in a pseudo-Euclidean spaces”, in arXiv",
          "text": "We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Satisfying the equation A(grad H) = -H grad H for the mean curvature function H and the Weingarten operator A."
      ],
      "id": "en-biconservative-en-adj-zO7zp39G",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Satisfying the equation A(grad H) = -H grad H for the mean curvature function H and the Weingarten operator A."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biconservative"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "conservative"
      },
      "expansion": "bi- + conservative",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + conservative",
  "head_templates": [
    {
      "args": {
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      "expansion": "biconservative (not comparable)",
      "name": "en-adj"
    }
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
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        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with bi-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Abhitosh Upadhyay, Nurettin Cenk Turgay, “Biconservative hypersurfaces in a pseudo-Euclidean spaces”, in arXiv",
          "text": "We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Satisfying the equation A(grad H) = -H grad H for the mean curvature function H and the Weingarten operator A."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
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        "(mathematics) Satisfying the equation A(grad H) = -H grad H for the mean curvature function H and the Weingarten operator A."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "biconservative"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.