"geometric multiplicity" meaning in All languages combined

See geometric multiplicity on Wiktionary

Noun [English]

Forms: geometric multiplicities [plural]
Head templates: {{en-noun}} geometric multiplicity (plural geometric multiplicities)
  1. (linear algebra) The dimension of the eigenspace of a given eigenvalue (of a given square matrix). Categories (topical): Linear algebra
    Sense id: en-geometric_multiplicity-en-noun-4yQIKCeX Categories (other): English entries with incorrect language header Topics: linear-algebra, mathematics, sciences

Inflected forms

Download JSON data for geometric multiplicity meaning in All languages combined (1.2kB)

{
  "forms": [
    {
      "form": "geometric multiplicities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "geometric multiplicity (plural geometric multiplicities)",
      "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": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The dimension of the eigenspace of a given eigenvalue (of a given square matrix)."
      ],
      "id": "en-geometric_multiplicity-en-noun-4yQIKCeX",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "eigenspace",
          "eigenspace"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "square matrix",
          "square matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) The dimension of the eigenspace of a given eigenvalue (of a given square matrix)."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "geometric multiplicity"
}
{
  "forms": [
    {
      "form": "geometric multiplicities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "geometric multiplicity (plural geometric multiplicities)",
      "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",
        "en:Linear algebra"
      ],
      "glosses": [
        "The dimension of the eigenspace of a given eigenvalue (of a given square matrix)."
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "dimension",
          "dimension"
        ],
        [
          "eigenspace",
          "eigenspace"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "square matrix",
          "square matrix"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) The dimension of the eigenspace of a given eigenvalue (of a given square matrix)."
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "geometric multiplicity"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 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.