See transcendental function on Wiktionary
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{ "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries" ], "forms": [ { "form": "transcendental functions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "transcendental function (plural transcendental functions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English terms with usage examples", "en:Functions", "en:Mathematical analysis" ], "examples": [ { "text": "An analytic function is transcendental (i.e., is a transcendental function) if and only if its Riemann surface is noncompact.", "type": "example" } ], "glosses": [ "Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials." ], "links": [ [ "mathematical analysis", "mathematical analysis" ], [ "algebraically independent", "algebraically independent" ], [ "variable", "variable" ], [ "polynomial equation", "polynomial equation" ], [ "coefficient", "coefficient" ], [ "polynomial", "polynomial" ] ], "raw_glosses": [ "(mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials." ], "topics": [ "mathematical-analysis", "mathematics", "sciences" ] }, { "categories": [ "en:Complex analysis" ], "glosses": [ "A meromorphic function on the complex plane that is not a rational function." ], "links": [ [ "complex analysis", "complex analysis" ], [ "meromorphic", "meromorphic" ], [ "complex plane", "complex plane" ], [ "rational function", "rational function" ] ], "raw_glosses": [ "(specifically, complex analysis) A meromorphic function on the complex plane that is not a rational function." ], "tags": [ "specifically" ], "topics": [ "complex-analysis", "mathematics", "sciences" ] } ], "word": "transcendental function" }
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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 2025-03-01 from the enwiktionary dump dated 2025-02-21 using wiktextract (7c21d10 and f2e72e5). 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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