"Reynolds operator" meaning in All languages combined

See Reynolds operator on Wiktionary

Noun [English]

Forms: Reynolds operators [plural]
Etymology: They were introduced into fluid dynamics by Osbourne Reynolds (1895) and named by J. Kampé de Fériet (1934, 1935, 1949). Head templates: {{en-noun}} Reynolds operator (plural Reynolds operators)
  1. (mathematics) A mathematical operator given by averaging something over a group action, satisfying a set of properties called Reynolds rules, and having applications in fluid dynamics and invariant theory. Categories (topical): Mathematics

Inflected forms

{
  "etymology_text": "They were introduced into fluid dynamics by Osbourne Reynolds (1895) and named by J. Kampé de Fériet (1934, 1935, 1949).",
  "forms": [
    {
      "form": "Reynolds operators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Reynolds operator (plural Reynolds operators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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 entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A mathematical operator given by averaging something over a group action, satisfying a set of properties called Reynolds rules, and having applications in fluid dynamics and invariant theory."
      ],
      "id": "en-Reynolds_operator-en-noun-V4jh3RbC",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "averaging",
          "average"
        ],
        [
          "group",
          "group"
        ],
        [
          "action",
          "action"
        ],
        [
          "Reynolds rules",
          "Reynolds rules"
        ],
        [
          "fluid dynamics",
          "fluid dynamics"
        ],
        [
          "invariant theory",
          "invariant theory"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A mathematical operator given by averaging something over a group action, satisfying a set of properties called Reynolds rules, and having applications in fluid dynamics and invariant theory."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Reynolds operator"
}
{
  "etymology_text": "They were introduced into fluid dynamics by Osbourne Reynolds (1895) and named by J. Kampé de Fériet (1934, 1935, 1949).",
  "forms": [
    {
      "form": "Reynolds operators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Reynolds operator (plural Reynolds operators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "glosses": [
        "A mathematical operator given by averaging something over a group action, satisfying a set of properties called Reynolds rules, and having applications in fluid dynamics and invariant theory."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "averaging",
          "average"
        ],
        [
          "group",
          "group"
        ],
        [
          "action",
          "action"
        ],
        [
          "Reynolds rules",
          "Reynolds rules"
        ],
        [
          "fluid dynamics",
          "fluid dynamics"
        ],
        [
          "invariant theory",
          "invariant theory"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A mathematical operator given by averaging something over a group action, satisfying a set of properties called Reynolds rules, and having applications in fluid dynamics and invariant theory."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Reynolds operator"
}

Download raw JSONL data for Reynolds operator meaning in All languages combined (1.5kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.