"winding number" meaning in English

See winding number in All languages combined, or Wiktionary

Noun

Forms: winding numbers [plural]
Head templates: {{en-noun}} winding number (plural winding numbers)
  1. (geometry, topology, mathematical analysis) The total number of times a given curve travels counterclockwise around a specified point. Wikipedia link: winding number Categories (topical): Geometry, Mathematical analysis, Topology Translations (the number of times a curve travels counterclockwise around a point): indeks [masculine] (Polish)
    Sense id: en-winding_number-en-noun-70Z8ZSa7 Categories (other): English entries with incorrect language header Topics: geometry, mathematical-analysis, mathematics, sciences, topology

Inflected forms

Download JSON data for winding number meaning in English (1.8kB)

{
  "forms": [
    {
      "form": "winding numbers",
      "tags": [
        "plural"
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  ],
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      "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",
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      ],
      "glosses": [
        "The total number of times a given curve travels counterclockwise around a specified point."
      ],
      "id": "en-winding_number-en-noun-70Z8ZSa7",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "number",
          "number"
        ],
        [
          "curve",
          "curve"
        ],
        [
          "counterclockwise",
          "counterclockwise"
        ],
        [
          "point",
          "point"
        ]
      ],
      "raw_glosses": [
        "(geometry, topology, mathematical analysis) The total number of times a given curve travels counterclockwise around a specified point."
      ],
      "topics": [
        "geometry",
        "mathematical-analysis",
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "the number of times a curve travels counterclockwise around a point",
          "tags": [
            "masculine"
          ],
          "word": "indeks"
        }
      ],
      "wikipedia": [
        "winding number"
      ]
    }
  ],
  "word": "winding number"
}
{
  "forms": [
    {
      "form": "winding numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "winding number (plural winding numbers)",
      "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",
        "English multiword terms",
        "English nouns",
        "en:Geometry",
        "en:Mathematical analysis",
        "en:Topology"
      ],
      "glosses": [
        "The total number of times a given curve travels counterclockwise around a specified point."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "number",
          "number"
        ],
        [
          "curve",
          "curve"
        ],
        [
          "counterclockwise",
          "counterclockwise"
        ],
        [
          "point",
          "point"
        ]
      ],
      "raw_glosses": [
        "(geometry, topology, mathematical analysis) The total number of times a given curve travels counterclockwise around a specified point."
      ],
      "topics": [
        "geometry",
        "mathematical-analysis",
        "mathematics",
        "sciences",
        "topology"
      ],
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      ]
    }
  ],
  "translations": [
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "the number of times a curve travels counterclockwise around a point",
      "tags": [
        "masculine"
      ],
      "word": "indeks"
    }
  ],
  "word": "winding number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.