"hypoelliptic operator" meaning in All languages combined

See hypoelliptic operator on Wiktionary

Noun [English]

Forms: hypoelliptic operators [plural]
Head templates: {{en-noun}} hypoelliptic operator (plural hypoelliptic operators)
  1. (calculus) A differential operator that preserves mathematical smoothness. Wikipedia link: hypoelliptic operator Categories (topical): Calculus
    Sense id: en-hypoelliptic_operator-en-noun-n330Wv~w Categories (other): English entries with incorrect language header Topics: calculus, mathematics, sciences

Inflected forms

Download JSONL data for hypoelliptic operator meaning in All languages combined (1.1kB)

{
  "forms": [
    {
      "form": "hypoelliptic operators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hypoelliptic operator (plural hypoelliptic 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": "topical",
          "langcode": "en",
          "name": "Calculus",
          "orig": "en:Calculus",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A differential operator that preserves mathematical smoothness."
      ],
      "id": "en-hypoelliptic_operator-en-noun-n330Wv~w",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "differential",
          "differential"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "smoothness",
          "smoothness"
        ]
      ],
      "raw_glosses": [
        "(calculus) A differential operator that preserves mathematical smoothness."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "hypoelliptic operator"
      ]
    }
  ],
  "word": "hypoelliptic operator"
}
{
  "forms": [
    {
      "form": "hypoelliptic operators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hypoelliptic operator (plural hypoelliptic operators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Calculus"
      ],
      "glosses": [
        "A differential operator that preserves mathematical smoothness."
      ],
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "differential",
          "differential"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "smoothness",
          "smoothness"
        ]
      ],
      "raw_glosses": [
        "(calculus) A differential operator that preserves mathematical smoothness."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "hypoelliptic operator"
      ]
    }
  ],
  "word": "hypoelliptic operator"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-27 from the enwiktionary dump dated 2024-06-20 using wiktextract (0f7b3ac and b863ecc). 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.