"branch cut" meaning in English

{
  "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"
        },
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        {
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Mandarin translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Complex analysis",
          "orig": "en:Complex analysis",
          "parents": [
            "Mathematics",
            "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",
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        "English countable nouns",
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        "Requests for review of German translations",
        "Terms with Finnish translations",
        "Terms with German translations",
        "Terms with Mandarin 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"
}