"superdiagonal" meaning in All languages combined

See superdiagonal on Wiktionary

Noun [English]

Forms: superdiagonals [plural]
Etymology: From 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

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "super",
        "3": "diagonal"
      },
      "expansion": "super- + diagonal",
      "name": "prefix"
    }
  ],
  "etymology_text": "From 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": "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"
        }
      ],
      "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": "quote"
        }
      ],
      "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": "From 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": [
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        "English entries with incorrect language header",
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        "English terms with quotations",
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        "Pages with entries",
        "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": "quote"
        }
      ],
      "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"
}

Download raw JSONL data for superdiagonal 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 2024-11-06 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.