See holomorphic on Wiktionary
{ "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": "other", "langcode": "en", "name": "Complex analysis", "orig": "en:Complex analysis", "parents": [], "source": "w" }, { "_dis": "48 52", "kind": "other", "name": "English entries with incorrect language header", "parents": [], "source": "w+disamb" }, { "_dis": "49 51", "kind": "other", "name": "English terms prefixed with holo-", "parents": [], "source": "w+disamb" }, { "_dis": "45 55", "kind": "other", "name": "English terms suffixed with -morphic", "parents": [], "source": "w+disamb" }, { "_dis": "57 43", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "48 52", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "48 52", "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." }, { "bold_text_offsets": [ [ 14, 25 ], [ 209, 220 ], [ 278, 289 ] ], "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": "67 33", "code": "cs", "lang": "Czech", "sense": "of a complex function", "word": "holomorfní" }, { "_dis1": "67 33", "code": "fi", "lang": "Finnish", "sense": "of a complex function", "word": "holomorfinen" }, { "_dis1": "67 33", "code": "fr", "lang": "French", "sense": "of a complex function", "word": "holomorphe" }, { "_dis1": "67 33", "code": "de", "lang": "German", "sense": "of a complex function", "word": "holomorph" }, { "_dis1": "67 33", "code": "hu", "lang": "Hungarian", "sense": "of a complex function", "word": "holomorf" }, { "_dis1": "67 33", "code": "kk", "lang": "Kazakh", "roman": "golomorftyq", "sense": "of a complex function", "word": "голоморфтық" }, { "_dis1": "67 33", "code": "pl", "lang": "Polish", "sense": "of a complex function", "tags": [ "masculine" ], "word": "holomorficzny" }, { "_dis1": "67 33", "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": [], "source": "w+disamb" }, { "_dis": "49 51", "kind": "other", "name": "English terms prefixed with holo-", "parents": [], "source": "w+disamb" }, { "_dis": "45 55", "kind": "other", "name": "English terms suffixed with -morphic", "parents": [], "source": "w+disamb" }, { "_dis": "48 52", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "43 57", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "40 60", "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w+disamb" }, { "_dis": "44 56", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "42 58", "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": "48 52", "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": "43 57", "kind": "other", "name": "Terms with Polish translations", "parents": [], "source": "w+disamb" }, { "_dis": "43 57", "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." }, { "bold_text_offsets": [ [ 14, 25 ], [ 209, 220 ], [ 278, 289 ] ], "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" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-13 from the enwiktionary dump dated 2025-05-01 using wiktextract (9a214a4 and 1b6da77). 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.
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