"diagonal element" meaning in English

See diagonal element in All languages combined, or Wiktionary

Noun

Forms: diagonal elements [plural]
Head templates: {{en-noun}} diagonal element (plural diagonal elements)
  1. (linear algebra) An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix. Categories (topical): Linear algebra Translations (element on the main diagonal of a square matrix): diagonaalelement (Estonian), diagonaalialkio (Finnish), élément diagonal [masculine] (French), coefficient diagonal [masculine] (French), 対角要素 (taikaku yōso) (Japanese)
    Sense id: en-diagonal_element-en-noun-SWCSfxpr Categories (other): English entries with incorrect language header, Japanese terms with redundant script codes Topics: linear-algebra, mathematics, sciences

Inflected forms

Download JSON data for diagonal element meaning in English (2.1kB)

{
  "forms": [
    {
      "form": "diagonal elements",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "diagonal element (plural diagonal elements)",
      "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": "Japanese terms with redundant script codes",
          "parents": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
      ],
      "id": "en-diagonal_element-en-noun-SWCSfxpr",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "main diagonal",
          "main diagonal"
        ],
        [
          "square matrix",
          "square matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "et",
          "lang": "Estonian",
          "sense": "element on the main diagonal of a square matrix",
          "word": "diagonaalelement"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "element on the main diagonal of a square matrix",
          "word": "diagonaalialkio"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "element on the main diagonal of a square matrix",
          "tags": [
            "masculine"
          ],
          "word": "élément diagonal"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "element on the main diagonal of a square matrix",
          "tags": [
            "masculine"
          ],
          "word": "coefficient diagonal"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "taikaku yōso",
          "sense": "element on the main diagonal of a square matrix",
          "word": "対角要素"
        }
      ]
    }
  ],
  "word": "diagonal element"
}
{
  "forms": [
    {
      "form": "diagonal elements",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "diagonal element (plural diagonal elements)",
      "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",
        "Japanese terms with redundant script codes",
        "en:Linear algebra"
      ],
      "glosses": [
        "An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "main diagonal",
          "main diagonal"
        ],
        [
          "square matrix",
          "square matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) An element on the main diagonal of a square matrix, that is, an element in row k and column k where k is an integer between 1 and the number of rows (or columns) in the matrix."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "element on the main diagonal of a square matrix",
      "word": "diagonaalelement"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "element on the main diagonal of a square matrix",
      "word": "diagonaalialkio"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "element on the main diagonal of a square matrix",
      "tags": [
        "masculine"
      ],
      "word": "élément diagonal"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "element on the main diagonal of a square matrix",
      "tags": [
        "masculine"
      ],
      "word": "coefficient diagonal"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "taikaku yōso",
      "sense": "element on the main diagonal of a square matrix",
      "word": "対角要素"
    }
  ],
  "word": "diagonal element"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.