See holomorphic on Wiktionary
Download JSON data for holomorphic meaning in All languages combined (4.7kB)
{
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{
"_dis1": "0 0",
"word": "antiholomorphic"
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"word": "biholomorphic"
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"word": "holomorphically"
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"pos": "adj",
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"categories": [
{
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{
"_dis": "52 48",
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"name": "English terms prefixed with holo-",
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{
"_dis": "45 55",
"kind": "other",
"name": "English terms suffixed with -morphic",
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],
"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": "quotation"
}
],
"glosses": [
"Complex-differentiable on an open set around every point in its domain."
],
"id": "en-holomorphic-en-adj-BLKrAn0u",
"links": [
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"complex analysis"
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"Complex-differentiable",
"complex-differentiable"
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[
"open set",
"open set"
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[
"domain",
"domain"
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],
"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"
],
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"sciences"
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"translations": [
{
"_dis1": "56 44",
"code": "cs",
"lang": "Czech",
"sense": "of a complex function",
"word": "holomorfní"
},
{
"_dis1": "56 44",
"code": "fi",
"lang": "Finnish",
"sense": "of a complex function",
"word": "holomorfinen"
},
{
"_dis1": "56 44",
"code": "fr",
"lang": "French",
"sense": "of a complex function",
"word": "holomorphe"
},
{
"_dis1": "56 44",
"code": "de",
"lang": "German",
"sense": "of a complex function",
"word": "holomorph"
},
{
"_dis1": "56 44",
"code": "hu",
"lang": "Hungarian",
"sense": "of a complex function",
"word": "holomorf"
},
{
"_dis1": "56 44",
"code": "kk",
"lang": "Kazakh",
"roman": "golomorftyq",
"sense": "of a complex function",
"word": "голоморфтық"
},
{
"_dis1": "56 44",
"code": "pl",
"lang": "Polish",
"sense": "of a complex function",
"tags": [
"masculine"
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"word": "holomorficzny"
},
{
"_dis1": "56 44",
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"roman": "golomorfnyj",
"sense": "of a complex function",
"word": "голоморфный"
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{
"_dis": "45 55",
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"glosses": [
"Having holohedral symmetry."
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"id": "en-holomorphic-en-adj-vWbSoD02",
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"tags": [
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],
"wikipedia": [
"Holomorphic function"
],
"word": "holomorphic"
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{
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"English entries with incorrect language header",
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"word": "antiholomorphic"
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{
"word": "biholomorphic"
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{
"word": "holomorphically"
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{
"word": "holomorphicity"
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{
"word": "hyperholomorphic"
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{
"word": "nonholomorphic"
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{
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"word": "triholomorphic"
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{
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"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": "quotation"
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],
"glosses": [
"Complex-differentiable on an open set around every point in its domain."
],
"links": [
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],
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"open set",
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],
"raw_glosses": [
"(complex analysis, of a complex function) Complex-differentiable on an open set around every point in its domain."
],
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"of a complex function"
],
"tags": [
"not-comparable"
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"topics": [
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{
"glosses": [
"Having holohedral symmetry."
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"holohedral",
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"symmetry",
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"tags": [
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],
"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"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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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