"involutant" meaning in All languages combined

See involutant on Wiktionary

Noun [English]

Forms: involutants [plural]
Head templates: {{en-noun}} involutant (plural involutants)
  1. (mathematics) Given two matrices M, N of order w, the involutant is the resultant of the w² scalar equations obtained by equating to zero a linear function with scalar coefficients of the w² matrices which result from multiplying 1, m m², ... mʷ⁻¹ into 1, n, n², ... nʷ⁻¹. Categories (topical): Mathematics
    Sense id: en-involutant-en-noun-jRiwEnPv Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "forms": [
    {
      "form": "involutants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "involutant (plural involutants)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Given two matrices M, N of order w, the involutant is the resultant of the w² scalar equations obtained by equating to zero a linear function with scalar coefficients of the w² matrices which result from multiplying 1, m m², ... mʷ⁻¹ into 1, n, n², ... nʷ⁻¹."
      ],
      "id": "en-involutant-en-noun-jRiwEnPv",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "resultant",
          "resultant"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Given two matrices M, N of order w, the involutant is the resultant of the w² scalar equations obtained by equating to zero a linear function with scalar coefficients of the w² matrices which result from multiplying 1, m m², ... mʷ⁻¹ into 1, n, n², ... nʷ⁻¹."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "involutant"
}
{
  "forms": [
    {
      "form": "involutants",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "involutant (plural involutants)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "Given two matrices M, N of order w, the involutant is the resultant of the w² scalar equations obtained by equating to zero a linear function with scalar coefficients of the w² matrices which result from multiplying 1, m m², ... mʷ⁻¹ into 1, n, n², ... nʷ⁻¹."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "resultant",
          "resultant"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Given two matrices M, N of order w, the involutant is the resultant of the w² scalar equations obtained by equating to zero a linear function with scalar coefficients of the w² matrices which result from multiplying 1, m m², ... mʷ⁻¹ into 1, n, n², ... nʷ⁻¹."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "involutant"
}

Download raw JSONL data for involutant meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.