"superdiagonal" meaning in English

See superdiagonal in All languages combined, or Wiktionary

Noun

Forms: superdiagonals [plural]
Etymology: super- + diagonal Etymology templates: {{prefix|en|super|diagonal}} super- + diagonal Head templates: {{en-noun}} superdiagonal (plural superdiagonals)
  1. (mathematics) The diagonal of a matrix that lies directly above and to the right of the main diagonal. Categories (topical): Mathematics
    Sense id: en-superdiagonal-en-noun-VbGR6Z-o Categories (other): English entries with incorrect language header, English terms prefixed with super- Topics: mathematics, sciences

Inflected forms

Download JSON data for superdiagonal meaning in English (1.7kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "super",
        "3": "diagonal"
      },
      "expansion": "super- + diagonal",
      "name": "prefix"
    }
  ],
  "etymology_text": "super- + diagonal",
  "forms": [
    {
      "form": "superdiagonals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "superdiagonal (plural superdiagonals)",
      "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 terms prefixed with super-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Eric Evert, J. William Helton, Igor Klep, Scott McCullough, “Circular Free Spectrahedra”, in arXiv",
          "text": "We classify all free spectrahedra that are circular, that is, closed under multiplication by exp(i t): up to unitary equivalence, the coefficients of a minimal LMI defining a circular free spectrahedron have a common block decomposition in which the only nonzero blocks are on the superdiagonal.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The diagonal of a matrix that lies directly above and to the right of the main diagonal."
      ],
      "id": "en-superdiagonal-en-noun-VbGR6Z-o",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "matrix",
          "matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The diagonal of a matrix that lies directly above and to the right of the main diagonal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "superdiagonal"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "super",
        "3": "diagonal"
      },
      "expansion": "super- + diagonal",
      "name": "prefix"
    }
  ],
  "etymology_text": "super- + diagonal",
  "forms": [
    {
      "form": "superdiagonals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "superdiagonal (plural superdiagonals)",
      "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",
        "English terms prefixed with super-",
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Eric Evert, J. William Helton, Igor Klep, Scott McCullough, “Circular Free Spectrahedra”, in arXiv",
          "text": "We classify all free spectrahedra that are circular, that is, closed under multiplication by exp(i t): up to unitary equivalence, the coefficients of a minimal LMI defining a circular free spectrahedron have a common block decomposition in which the only nonzero blocks are on the superdiagonal.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The diagonal of a matrix that lies directly above and to the right of the main diagonal."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "matrix",
          "matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The diagonal of a matrix that lies directly above and to the right of the main diagonal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "superdiagonal"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.