"nullspace" meaning in All languages combined

See nullspace on Wiktionary

Noun [English]

Forms: nullspaces [plural]
Etymology: null + space Etymology templates: {{compound|en|null|space}} null + space Head templates: {{en-noun}} nullspace (plural nullspaces)
  1. (mathematics) The kernel of a linear map between two vector spaces or two modules. Categories (topical): Mathematics Synonyms: kernel, null-space, null space Derived forms: left nullspace Related terms: nullity
    Sense id: en-nullspace-en-noun-jFKWaz1n Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for nullspace meaning in All languages combined (1.3kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "null",
        "3": "space"
      },
      "expansion": "null + space",
      "name": "compound"
    }
  ],
  "etymology_text": "null + space",
  "forms": [
    {
      "form": "nullspaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nullspace (plural nullspaces)",
      "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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "left nullspace"
        }
      ],
      "glosses": [
        "The kernel of a linear map between two vector spaces or two modules."
      ],
      "id": "en-nullspace-en-noun-jFKWaz1n",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "kernel",
          "kernel"
        ],
        [
          "linear map",
          "linear map"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "module",
          "module"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The kernel of a linear map between two vector spaces or two modules."
      ],
      "related": [
        {
          "word": "nullity"
        }
      ],
      "synonyms": [
        {
          "word": "kernel"
        },
        {
          "word": "null-space"
        },
        {
          "word": "null space"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nullspace"
}
{
  "derived": [
    {
      "word": "left nullspace"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "null",
        "3": "space"
      },
      "expansion": "null + space",
      "name": "compound"
    }
  ],
  "etymology_text": "null + space",
  "forms": [
    {
      "form": "nullspaces",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nullspace (plural nullspaces)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "nullity"
    }
  ],
  "senses": [
    {
      "categories": [
        "English compound terms",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "The kernel of a linear map between two vector spaces or two modules."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "kernel",
          "kernel"
        ],
        [
          "linear map",
          "linear map"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "module",
          "module"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The kernel of a linear map between two vector spaces or two modules."
      ],
      "synonyms": [
        {
          "word": "kernel"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "null-space"
    },
    {
      "word": "null space"
    }
  ],
  "word": "nullspace"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-01 from the enwiktionary dump dated 2024-05-02 using wiktextract (384852d 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.