"subdiagonal" meaning in English

See subdiagonal in All languages combined, or Wiktionary

Adjective

Etymology: sub- + diagonal Etymology templates: {{prefix|en|sub|diagonal}} sub- + diagonal Head templates: {{en-adj|-}} subdiagonal (not comparable)
  1. (mathematics) Said of an entry of a square matrix: that it lies anywhere in the lower triangular area below the main diagonal of the matrix. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-subdiagonal-en-adj-ri6HkD3- Categories (other): English entries with incorrect language header, English terms prefixed with sub- Disambiguation of English entries with incorrect language header: 56 44 Disambiguation of English terms prefixed with sub-: 59 41 Topics: mathematics, sciences

Noun

Forms: subdiagonals [plural]
Etymology: sub- + diagonal Etymology templates: {{prefix|en|sub|diagonal}} sub- + diagonal Head templates: {{en-noun}} subdiagonal (plural subdiagonals)
  1. (mathematics) The diagonal of a matrix that lies directly below and to the left of the main diagonal. Categories (topical): Mathematics
    Sense id: en-subdiagonal-en-noun-3nVqSxBk Topics: mathematics, sciences

Inflected forms

Download JSON data for subdiagonal meaning in English (2.9kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "diagonal"
      },
      "expansion": "sub- + diagonal",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + diagonal",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "subdiagonal (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "56 44",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "59 41",
          "kind": "other",
          "name": "English terms prefixed with sub-",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "ref": "2010, Martin Aigner with Günter M. Ziegler, chapter 16, in Proofs from THE BOOK, 4th edition, Delhi, India: Springer (India), published 2013, page 97",
          "text": "(3) From R, we obtain the set of points #x5C;mathbb#x7B;R#x7D;#x5C;tbinom#x7B;n#x7D;#x7B;2#x7D; whose coordinates are the subdiagonal entries of the corresponding matrices:\nS#x3A;#x3D;#x5C;#x7B;(#x5C;mathbf#x7B;x#x7D;#x5C;mathbf#x7B;x#x7D;ᵀ)#x5F;#x7B;i#x3E;j#x7D;#x3A;#x5C;mathbf#x7B;x#x7D;#x5C;mathbf#x7B;x#x7D;ᵀ#x5C;inR#x5C;#x7D;.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Said of an entry of a square matrix: that it lies anywhere in the lower triangular area below the main diagonal of the matrix."
      ],
      "id": "en-subdiagonal-en-adj-ri6HkD3-",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "square matrix",
          "square matrix"
        ],
        [
          "main diagonal",
          "main diagonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Said of an entry of a square matrix: that it lies anywhere in the lower triangular area below the main diagonal of the matrix."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subdiagonal"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "diagonal"
      },
      "expansion": "sub- + diagonal",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + diagonal",
  "forms": [
    {
      "form": "subdiagonals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subdiagonal (plural subdiagonals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The diagonal of a matrix that lies directly below and to the left of the main diagonal."
      ],
      "id": "en-subdiagonal-en-noun-3nVqSxBk",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
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          "matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The diagonal of a matrix that lies directly below and to the left of the main diagonal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subdiagonal"
}
{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
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    "English uncomparable adjectives"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "diagonal"
      },
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      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + diagonal",
  "head_templates": [
    {
      "args": {
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      "expansion": "subdiagonal (not comparable)",
      "name": "en-adj"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
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      "examples": [
        {
          "ref": "2010, Martin Aigner with Günter M. Ziegler, chapter 16, in Proofs from THE BOOK, 4th edition, Delhi, India: Springer (India), published 2013, page 97",
          "text": "(3) From R, we obtain the set of points #x5C;mathbb#x7B;R#x7D;#x5C;tbinom#x7B;n#x7D;#x7B;2#x7D; whose coordinates are the subdiagonal entries of the corresponding matrices:\nS#x3A;#x3D;#x5C;#x7B;(#x5C;mathbf#x7B;x#x7D;#x5C;mathbf#x7B;x#x7D;ᵀ)#x5F;#x7B;i#x3E;j#x7D;#x3A;#x5C;mathbf#x7B;x#x7D;#x5C;mathbf#x7B;x#x7D;ᵀ#x5C;inR#x5C;#x7D;.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Said of an entry of a square matrix: that it lies anywhere in the lower triangular area below the main diagonal of the matrix."
      ],
      "links": [
        [
          "mathematics",
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        ],
        [
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        [
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        ]
      ],
      "raw_glosses": [
        "(mathematics) Said of an entry of a square matrix: that it lies anywhere in the lower triangular area below the main diagonal of the matrix."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subdiagonal"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with sub-",
    "English uncomparable adjectives"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "diagonal"
      },
      "expansion": "sub- + diagonal",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + diagonal",
  "forms": [
    {
      "form": "subdiagonals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subdiagonal (plural subdiagonals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "The diagonal of a matrix that lies directly below and to the left of the main diagonal."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "matrix",
          "matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The diagonal of a matrix that lies directly below and to the left of the main diagonal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subdiagonal"
}

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.