"holomorphic" meaning in English

See holomorphic in All languages combined, or Wiktionary

Adjective

Etymology: From holo- + -morphic. Etymology templates: {{confix|en|holo|morphic}} holo- + -morphic Head templates: {{en-adj|-}} holomorphic (not comparable)
  1. (complex analysis, of a complex function) Complex-differentiable on an open set around every point in its domain. Tags: not-comparable Categories (topical): Complex analysis Translations (of a complex function): holomorfní (Czech), holomorfinen (Finnish), holomorphe (French), holomorph (German), holomorf (Hungarian), голоморфтық (golomorftyq) (Kazakh), holomorficzny [masculine] (Polish), голоморфный (golomorfnyj) (Russian)
    Sense id: en-holomorphic-en-adj-BLKrAn0u Categories (other): English entries with incorrect language header, English terms prefixed with holo-, Entries with translation boxes, Pages with 1 entry, Terms with Hungarian translations Disambiguation of English entries with incorrect language header: 48 52 Disambiguation of English terms prefixed with holo-: 49 51 Disambiguation of Entries with translation boxes: 52 48 Disambiguation of Pages with 1 entry: 47 53 Disambiguation of Terms with Hungarian translations: 45 55 Topics: complex-analysis, mathematics, sciences Disambiguation of 'of a complex function': 61 39
  2. Having holohedral symmetry. Tags: not-comparable
    Sense id: en-holomorphic-en-adj-vWbSoD02 Categories (other): English entries with incorrect language header, English terms prefixed with holo-, English terms suffixed with -morphic, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Czech translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Hungarian translations, Terms with Kazakh translations, Terms with Polish translations, Terms with Russian translations Disambiguation of English entries with incorrect language header: 48 52 Disambiguation of English terms prefixed with holo-: 49 51 Disambiguation of English terms suffixed with -morphic: 44 56 Disambiguation of Entries with translation boxes: 52 48 Disambiguation of Pages with 1 entry: 47 53 Disambiguation of Pages with entries: 42 58 Disambiguation of Terms with Czech translations: 42 58 Disambiguation of Terms with Finnish translations: 42 58 Disambiguation of Terms with French translations: 40 60 Disambiguation of Terms with German translations: 40 60 Disambiguation of Terms with Hungarian translations: 45 55 Disambiguation of Terms with Kazakh translations: 40 60 Disambiguation of Terms with Polish translations: 39 61 Disambiguation of Terms with Russian translations: 40 60
The following are not (yet) sense-disambiguated
Derived forms: antiholomorphic, biholomorphic, holomorphically, holomorphicity, hyperholomorphic, nonholomorphic, pseudoholomorphic, triholomorphic, ultraholomorphic
{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "antiholomorphic"
    },
    {
      "_dis1": "0 0",
      "word": "biholomorphic"
    },
    {
      "_dis1": "0 0",
      "word": "holomorphically"
    },
    {
      "_dis1": "0 0",
      "word": "holomorphicity"
    },
    {
      "_dis1": "0 0",
      "word": "hyperholomorphic"
    },
    {
      "_dis1": "0 0",
      "word": "nonholomorphic"
    },
    {
      "_dis1": "0 0",
      "word": "pseudoholomorphic"
    },
    {
      "_dis1": "0 0",
      "word": "triholomorphic"
    },
    {
      "_dis1": "0 0",
      "word": "ultraholomorphic"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "holo",
        "3": "morphic"
      },
      "expansion": "holo- + -morphic",
      "name": "confix"
    }
  ],
  "etymology_text": "From holo- + -morphic.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "holomorphic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Complex analysis",
          "orig": "en:Complex analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "48 52",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "49 51",
          "kind": "other",
          "name": "English terms prefixed with holo-",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "52 48",
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "47 53",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "45 55",
          "kind": "other",
          "name": "Terms with Hungarian translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "1998, Stefan-M. Heinemann, Julia Sets in Cⁿ, Hartje Kriete, Progress in Holomorphic Dynamics, Addison Wesley Longman, page 159,\nThe iteration of holomorphic maps of one variable is one of the most lively fields of current mathematical research. Since its beginning in the twenties of this century, the theory of holomorphic endomorphisms of the Riemann sphere (= rational functions) has become well developed."
        },
        {
          "text": "1998, Robert Friedman, Algebraic Surfaces and Holomorphic Vector Bundles, Springer, page 303,\nA holomorphic 1-form on X is closed, and so\n0=dη₁=df and η₂."
        },
        {
          "ref": "2010, Graziano Gentili, Jacques Guenot, Giorgio Patrizio, Holomorphic Dynamical Systems: Lectures given at the C.I.M.E. Summer School, Springer, page v:",
          "text": "The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector field) acting on it.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Complex-differentiable on an open set around every point in its domain."
      ],
      "id": "en-holomorphic-en-adj-BLKrAn0u",
      "links": [
        [
          "complex analysis",
          "complex analysis"
        ],
        [
          "Complex-differentiable",
          "complex-differentiable"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(complex analysis, of a complex function) Complex-differentiable on an open set around every point in its domain."
      ],
      "raw_tags": [
        "of a complex function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "complex-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "61 39",
          "code": "cs",
          "lang": "Czech",
          "sense": "of a complex function",
          "word": "holomorfní"
        },
        {
          "_dis1": "61 39",
          "code": "fi",
          "lang": "Finnish",
          "sense": "of a complex function",
          "word": "holomorfinen"
        },
        {
          "_dis1": "61 39",
          "code": "fr",
          "lang": "French",
          "sense": "of a complex function",
          "word": "holomorphe"
        },
        {
          "_dis1": "61 39",
          "code": "de",
          "lang": "German",
          "sense": "of a complex function",
          "word": "holomorph"
        },
        {
          "_dis1": "61 39",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "of a complex function",
          "word": "holomorf"
        },
        {
          "_dis1": "61 39",
          "code": "kk",
          "lang": "Kazakh",
          "roman": "golomorftyq",
          "sense": "of a complex function",
          "word": "голоморфтық"
        },
        {
          "_dis1": "61 39",
          "code": "pl",
          "lang": "Polish",
          "sense": "of a complex function",
          "tags": [
            "masculine"
          ],
          "word": "holomorficzny"
        },
        {
          "_dis1": "61 39",
          "code": "ru",
          "lang": "Russian",
          "roman": "golomorfnyj",
          "sense": "of a complex function",
          "word": "голоморфный"
        }
      ]
    },
    {
      "categories": [
        {
          "_dis": "48 52",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "49 51",
          "kind": "other",
          "name": "English terms prefixed with holo-",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "44 56",
          "kind": "other",
          "name": "English terms suffixed with -morphic",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "52 48",
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "47 53",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "42 58",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "42 58",
          "kind": "other",
          "name": "Terms with Czech translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "42 58",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "40 60",
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "40 60",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "45 55",
          "kind": "other",
          "name": "Terms with Hungarian translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "40 60",
          "kind": "other",
          "name": "Terms with Kazakh translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "39 61",
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "40 60",
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Having holohedral symmetry."
      ],
      "id": "en-holomorphic-en-adj-vWbSoD02",
      "links": [
        [
          "holohedral",
          "holohedral"
        ],
        [
          "symmetry",
          "symmetry"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "wikipedia": [
    "Holomorphic function"
  ],
  "word": "holomorphic"
}
{
  "categories": [
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English terms prefixed with holo-",
    "English terms suffixed with -morphic",
    "English uncomparable adjectives",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with Czech translations",
    "Terms with Finnish translations",
    "Terms with French translations",
    "Terms with German translations",
    "Terms with Hungarian translations",
    "Terms with Kazakh translations",
    "Terms with Polish translations",
    "Terms with Russian translations"
  ],
  "derived": [
    {
      "word": "antiholomorphic"
    },
    {
      "word": "biholomorphic"
    },
    {
      "word": "holomorphically"
    },
    {
      "word": "holomorphicity"
    },
    {
      "word": "hyperholomorphic"
    },
    {
      "word": "nonholomorphic"
    },
    {
      "word": "pseudoholomorphic"
    },
    {
      "word": "triholomorphic"
    },
    {
      "word": "ultraholomorphic"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "holo",
        "3": "morphic"
      },
      "expansion": "holo- + -morphic",
      "name": "confix"
    }
  ],
  "etymology_text": "From holo- + -morphic.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "holomorphic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "en:Complex analysis"
      ],
      "examples": [
        {
          "text": "1998, Stefan-M. Heinemann, Julia Sets in Cⁿ, Hartje Kriete, Progress in Holomorphic Dynamics, Addison Wesley Longman, page 159,\nThe iteration of holomorphic maps of one variable is one of the most lively fields of current mathematical research. Since its beginning in the twenties of this century, the theory of holomorphic endomorphisms of the Riemann sphere (= rational functions) has become well developed."
        },
        {
          "text": "1998, Robert Friedman, Algebraic Surfaces and Holomorphic Vector Bundles, Springer, page 303,\nA holomorphic 1-form on X is closed, and so\n0=dη₁=df and η₂."
        },
        {
          "ref": "2010, Graziano Gentili, Jacques Guenot, Giorgio Patrizio, Holomorphic Dynamical Systems: Lectures given at the C.I.M.E. Summer School, Springer, page v:",
          "text": "The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector field) acting on it.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Complex-differentiable on an open set around every point in its domain."
      ],
      "links": [
        [
          "complex analysis",
          "complex analysis"
        ],
        [
          "Complex-differentiable",
          "complex-differentiable"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(complex analysis, of a complex function) Complex-differentiable on an open set around every point in its domain."
      ],
      "raw_tags": [
        "of a complex function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "complex-analysis",
        "mathematics",
        "sciences"
      ]
    },
    {
      "glosses": [
        "Having holohedral symmetry."
      ],
      "links": [
        [
          "holohedral",
          "holohedral"
        ],
        [
          "symmetry",
          "symmetry"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "of a complex function",
      "word": "holomorfní"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "of a complex function",
      "word": "holomorfinen"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "of a complex function",
      "word": "holomorphe"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "of a complex function",
      "word": "holomorph"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "of a complex function",
      "word": "holomorf"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "golomorftyq",
      "sense": "of a complex function",
      "word": "голоморфтық"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "of a complex function",
      "tags": [
        "masculine"
      ],
      "word": "holomorficzny"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "golomorfnyj",
      "sense": "of a complex function",
      "word": "голоморфный"
    }
  ],
  "wikipedia": [
    "Holomorphic function"
  ],
  "word": "holomorphic"
}

Download raw JSONL data for holomorphic meaning in English (3.9kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.