"k-cell" meaning in All languages combined

See k-cell on Wiktionary

Noun [English]

Forms: k-cells [plural]
Head templates: {{en-noun|k-cells|head=k-cell}} k-cell (plural k-cells)
  1. (mathematical analysis) A subset of k-dimensional Euclidean space which is obtained by taking the Cartesian product of k intervals (closed, open, or half-closed) which are subsets of the coordinate axes of the ambient Euclidean space. Categories (topical): Mathematical analysis, Measure theory Hyponyms: δ-box

Inflected forms

Download JSON data for k-cell meaning in All languages combined (2.4kB)

{
  "forms": [
    {
      "form": "k-cells",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "k-cells",
        "head": "k-cell"
      },
      "expansion": "k-cell (plural k-cells)",
      "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": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms containing italics",
          "parents": [
            "Terms containing italics",
            "Terms by orthographic property",
            "Terms by lexical property"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Measure theory",
          "orig": "en:Measure theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A subset of k-dimensional Euclidean space which is obtained by taking the Cartesian product of k intervals (closed, open, or half-closed) which are subsets of the coordinate axes of the ambient Euclidean space."
      ],
      "hyponyms": [
        {
          "word": "δ-box"
        }
      ],
      "id": "en-k-cell-en-noun-eGIS7dWa",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ],
        [
          "intervals",
          "intervals"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "open",
          "open"
        ],
        [
          "coordinate axes",
          "coordinate axes"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A subset of k-dimensional Euclidean space which is obtained by taking the Cartesian product of k intervals (closed, open, or half-closed) which are subsets of the coordinate axes of the ambient Euclidean space."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "k-cell"
}
{
  "forms": [
    {
      "form": "k-cells",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "k-cells",
        "head": "k-cell"
      },
      "expansion": "k-cell (plural k-cells)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "δ-box"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms containing italics",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematical analysis",
        "en:Measure theory"
      ],
      "glosses": [
        "A subset of k-dimensional Euclidean space which is obtained by taking the Cartesian product of k intervals (closed, open, or half-closed) which are subsets of the coordinate axes of the ambient Euclidean space."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ],
        [
          "intervals",
          "intervals"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "open",
          "open"
        ],
        [
          "coordinate axes",
          "coordinate axes"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A subset of k-dimensional Euclidean space which is obtained by taking the Cartesian product of k intervals (closed, open, or half-closed) which are subsets of the coordinate axes of the ambient Euclidean space."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "k-cell"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.