"branch cut" meaning in All languages combined

See branch cut on Wiktionary

Noun [English]

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 All languages combined (1.6kB)

{
  "forms": [
    {
      "form": "branch cuts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "branch cut (plural branch cuts)",
      "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": "Complex analysis",
          "orig": "en:Complex analysis",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "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"
    }
  ],
  "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"
        ],
        [
          "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.