"unitriangular" meaning in English

See unitriangular in All languages combined, or Wiktionary

Adjective

Etymology: uni- + triangular Etymology templates: {{prefix|en|uni|triangular}} uni- + triangular Head templates: {{en-adj|-}} unitriangular (not comparable)
  1. (mathematics) Of a matrix: such that the entries on the main diagonal of a (upper or lower) triangular matrix are all 1. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-unitriangular-en-adj-q~7oa8oo Categories (other): English entries with incorrect language header, English terms prefixed with uni- Topics: mathematics, sciences

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

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "uni",
        "3": "triangular"
      },
      "expansion": "uni- + triangular",
      "name": "prefix"
    }
  ],
  "etymology_text": "uni- + triangular",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "unitriangular (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "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 uni-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Funda Gul, Alexei G. Myasnikov, Mahmood Sohrabi, “Distortion of embeddings of a torsion-free finitely generated nilpotent group into a unitriangular group”, in arXiv",
          "text": "In this paper we study distortion of various well-known embeddings of finitely generated torsion-free nilpotent groups G into unitriangular groups UT#x5F;n(#x5C;mathbb#x7B;Z#x7D;).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Of a matrix: such that the entries on the main diagonal of a (upper or lower) triangular matrix are all 1."
      ],
      "id": "en-unitriangular-en-adj-q~7oa8oo",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "entries",
          "entry"
        ],
        [
          "diagonal",
          "diagonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a matrix: such that the entries on the main diagonal of a (upper or lower) triangular matrix are all 1."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "unitriangular"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "uni",
        "3": "triangular"
      },
      "expansion": "uni- + triangular",
      "name": "prefix"
    }
  ],
  "etymology_text": "uni- + triangular",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "unitriangular (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with uni-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Funda Gul, Alexei G. Myasnikov, Mahmood Sohrabi, “Distortion of embeddings of a torsion-free finitely generated nilpotent group into a unitriangular group”, in arXiv",
          "text": "In this paper we study distortion of various well-known embeddings of finitely generated torsion-free nilpotent groups G into unitriangular groups UT#x5F;n(#x5C;mathbb#x7B;Z#x7D;).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Of a matrix: such that the entries on the main diagonal of a (upper or lower) triangular matrix are all 1."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
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        ],
        [
          "entries",
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        ],
        [
          "diagonal",
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        ]
      ],
      "raw_glosses": [
        "(mathematics) Of a matrix: such that the entries on the main diagonal of a (upper or lower) triangular matrix are all 1."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "unitriangular"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-06-21 from the enwiktionary dump dated 2024-06-06 using wiktextract (6c02f21 and 0136956). 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.

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