"branch cut" meaning in English

See branch cut in All languages combined, or Wiktionary

Noun

Forms: branch cuts [plural]
Head templates: {{en-noun}} branch cut (plural branch cuts)
  1. (topology, complex analysis) A curve in the complex plane such that it is possible to define a single analytic branch of a multi-valued function on the plane minus that curve. Categories (topical): Complex analysis, Topology Translations (curve): 分支切割 (Chinese Mandarin), leikkauskäyrä (Finnish)
    Sense id: en-branch_cut-en-noun-WyC7xHsP Categories (other): English entries with incorrect language header Topics: complex-analysis, mathematics, sciences, topology

Inflected forms

Download JSON data for branch cut meaning in English (1.6kB)

{
  "forms": [
    {
      "form": "branch cuts",
      "tags": [
        "plural"
      ]
    }
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  "head_templates": [
    {
      "args": {},
      "expansion": "branch cut (plural branch cuts)",
      "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"
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        {
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          "langcode": "en",
          "name": "Complex analysis",
          "orig": "en:Complex analysis",
          "parents": [
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            "Fundamental"
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          "name": "Topology",
          "orig": "en:Topology",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "A curve in the complex plane such that it is possible to define a single analytic branch of a multi-valued function on the plane minus that curve."
      ],
      "id": "en-branch_cut-en-noun-WyC7xHsP",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "complex analysis",
          "complex analysis"
        ],
        [
          "curve",
          "curve"
        ],
        [
          "complex plane",
          "complex plane"
        ],
        [
          "analytic",
          "analytic"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(topology, complex analysis) A curve in the complex plane such that it is possible to define a single analytic branch of a multi-valued function on the plane minus that curve."
      ],
      "topics": [
        "complex-analysis",
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "curve",
          "word": "分支切割"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "curve",
          "word": "leikkauskäyrä"
        }
      ]
    }
  ],
  "word": "branch cut"
}
{
  "forms": [
    {
      "form": "branch cuts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "branch cut (plural branch cuts)",
      "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",
        "Requests for review of German translations",
        "en:Complex analysis",
        "en:Topology"
      ],
      "glosses": [
        "A curve in the complex plane such that it is possible to define a single analytic branch of a multi-valued function on the plane minus that curve."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "complex analysis",
          "complex analysis"
        ],
        [
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        ],
        [
          "complex plane",
          "complex plane"
        ],
        [
          "analytic",
          "analytic"
        ],
        [
          "function",
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        ]
      ],
      "raw_glosses": [
        "(topology, complex analysis) A curve in the complex plane such that it is possible to define a single analytic branch of a multi-valued function on the plane minus that curve."
      ],
      "topics": [
        "complex-analysis",
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "curve",
      "word": "分支切割"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "curve",
      "word": "leikkauskäyrä"
    }
  ],
  "word": "branch cut"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 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.