"sweepout" meaning in All languages combined

See sweepout on Wiktionary

Noun [English]

Forms: sweepouts [plural]
Head templates: {{en-noun}} sweepout (plural sweepouts)
  1. (mathematics) The act or result of sweeping out Categories (topical): Mathematics
    Sense id: en-sweepout-en-noun-huZpUC9M Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

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

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  "forms": [
    {
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      "tags": [
        "plural"
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  "head_templates": [
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      "expansion": "sweepout (plural sweepouts)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Yevgeny Liokumovich, Xin Zhou, “Sweeping out 3-manifold of positive Ricci curvature by short 1-cycles via estimates of min-max surfaces”, in arXiv",
          "text": "We use this result to construct a sweepout of M by 1-cycles of length at most Cvol(M³,g)#x7B;1#x2F;3#x7D; and prove a systolic inequality for all M#x5C;neqS³. The sweepout of surfaces is generated from a min-max minimal surface.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The act or result of sweeping out"
      ],
      "id": "en-sweepout-en-noun-huZpUC9M",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sweeping out",
          "sweep out"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The act or result of sweeping out"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "sweepout"
}
{
  "forms": [
    {
      "form": "sweepouts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "sweepout (plural sweepouts)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
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      "examples": [
        {
          "ref": "2015, Yevgeny Liokumovich, Xin Zhou, “Sweeping out 3-manifold of positive Ricci curvature by short 1-cycles via estimates of min-max surfaces”, in arXiv",
          "text": "We use this result to construct a sweepout of M by 1-cycles of length at most Cvol(M³,g)#x7B;1#x2F;3#x7D; and prove a systolic inequality for all M#x5C;neqS³. The sweepout of surfaces is generated from a min-max minimal surface.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The act or result of sweeping out"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sweeping out",
          "sweep out"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The act or result of sweeping out"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
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  "word": "sweepout"
}

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.