Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Elementary_function> ?p ?o }
- Elementary_function abstract "In mathematics, an elementary function is a function of one variable which is the composition of a finite number of arithmetic operations (+ – × ÷), exponentials, logarithms, constants, and solutions of algebraic equations (a generalization of nth roots).The elementary functions include the trigonometric and hyperbolic functions and their inverses, as they are expressible with complex exponentials and logarithms.It follows directly from the definition that the set of elementary functions is closed under arithmetic operations and composition. It is also closed under differentiation. It is not closed under limits and infinite sums. Elementary functions are analytic at all but a finite number of points.Importantly, the elementary functions are not closed under integration. The Liouvillian functions are defined as the elementary functions and, recursively, the integrals of the Liouvillian functions.Some elementary functions, such as roots, logarithms, or inverse trigonometric functions, are not entire functions and may be multivalued.Elementary functions were introduced by Joseph Liouville in a series of papers from 1833 to 1841. An algebraic treatment of elementary functions was started by Joseph Fels Ritt in the 1930s.".
- Elementary_function wikiPageExternalLink coll33.
- Elementary_function wikiPageExternalLink Elementary_functions.
- Elementary_function wikiPageID "10412".
- Elementary_function wikiPageLength "5345".
- Elementary_function wikiPageOutDegree "43".
- Elementary_function wikiPageRevisionID "669841988".
- Elementary_function wikiPageWikiLink Algebraic_equation.
- Elementary_function wikiPageWikiLink Algebraic_function.
- Elementary_function wikiPageWikiLink Analytic_function.
- Elementary_function wikiPageWikiLink Antiderivative.
- Elementary_function wikiPageWikiLink Arithmetic.
- Elementary_function wikiPageWikiLink Category:Computer_algebra.
- Elementary_function wikiPageWikiLink Category:Differential_algebra.
- Elementary_function wikiPageWikiLink Category:Types_of_functions.
- Elementary_function wikiPageWikiLink Closed-form_expression.
- Elementary_function wikiPageWikiLink Closure_(mathematics).
- Elementary_function wikiPageWikiLink Coefficient.
- Elementary_function wikiPageWikiLink Complex_domain.
- Elementary_function wikiPageWikiLink Complex_number.
- Elementary_function wikiPageWikiLink Derivative.
- Elementary_function wikiPageWikiLink Differential_Galois_theory.
- Elementary_function wikiPageWikiLink Differential_algebra.
- Elementary_function wikiPageWikiLink Entire_function.
- Elementary_function wikiPageWikiLink Error_function.
- Elementary_function wikiPageWikiLink Exponential_function.
- Elementary_function wikiPageWikiLink Field_(mathematics).
- Elementary_function wikiPageWikiLink Field_extension.
- Elementary_function wikiPageWikiLink Function_(mathematics).
- Elementary_function wikiPageWikiLink Function_composition.
- Elementary_function wikiPageWikiLink Inverse_trigonometric_function.
- Elementary_function wikiPageWikiLink Inverse_trigonometric_functions.
- Elementary_function wikiPageWikiLink Joseph_Fels_Ritt.
- Elementary_function wikiPageWikiLink Joseph_Liouville.
- Elementary_function wikiPageWikiLink Joseph_Ritt.
- Elementary_function wikiPageWikiLink Liouvilles_theorem_(differential_algebra).
- Elementary_function wikiPageWikiLink Liouvillian_function.
- Elementary_function wikiPageWikiLink Logarithm.
- Elementary_function wikiPageWikiLink Mathematics.
- Elementary_function wikiPageWikiLink Maxwell_Rosenlicht.
- Elementary_function wikiPageWikiLink Multivalued_function.
- Elementary_function wikiPageWikiLink Nth_root.
- Elementary_function wikiPageWikiLink Product_rule.
- Elementary_function wikiPageWikiLink Rational_function.
- Elementary_function wikiPageWikiLink Rational_number.
- Elementary_function wikiPageWikiLink Risch_algorithm.
- Elementary_function wikiPageWikiLink Series_(mathematics).
- Elementary_function wikiPageWikiLink Transcendental_function.
- Elementary_function wikiPageWikiLink Trigonometric_function.
- Elementary_function wikiPageWikiLink Trigonometric_functions.
- Elementary_function wikiPageWikiLink Variable_(mathematics).
- Elementary_function wikiPageWikiLinkText "Basic mathematical functions".
- Elementary_function wikiPageWikiLinkText "Elementary function".
- Elementary_function wikiPageWikiLinkText "Elementary".
- Elementary_function wikiPageWikiLinkText "elementary function".
- Elementary_function wikiPageWikiLinkText "elementary".
- Elementary_function hasPhotoCollection Elementary_function.
- Elementary_function wikiPageUsesTemplate Template:About.
- Elementary_function wikiPageUsesTemplate Template:Authority_control.
- Elementary_function wikiPageUsesTemplate Template:Cite_journal.
- Elementary_function wikiPageUsesTemplate Template:MathWorld.
- Elementary_function wikiPageUsesTemplate Template:Refimprove.
- Elementary_function wikiPageUsesTemplate Template:Reflist.
- Elementary_function subject Category:Computer_algebra.
- Elementary_function subject Category:Differential_algebra.
- Elementary_function subject Category:Types_of_functions.
- Elementary_function hypernym Function.
- Elementary_function type Article.
- Elementary_function type ProgrammingLanguage.
- Elementary_function type Type.
- Elementary_function type Algorithm.
- Elementary_function type Article.
- Elementary_function type Function.
- Elementary_function type Type.
- Elementary_function type Thing.
- Elementary_function comment "In mathematics, an elementary function is a function of one variable which is the composition of a finite number of arithmetic operations (+ – × ÷), exponentials, logarithms, constants, and solutions of algebraic equations (a generalization of nth roots).The elementary functions include the trigonometric and hyperbolic functions and their inverses, as they are expressible with complex exponentials and logarithms.It follows directly from the definition that the set of elementary functions is closed under arithmetic operations and composition. ".
- Elementary_function label "Elementary function".
- Elementary_function sameAs دالة_ابتدائية.
- Elementary_function sameAs Элементарныя_функцыі.
- Elementary_function sameAs Elementarna_funkcija.
- Elementary_function sameAs Funció_elemental.
- Elementary_function sameAs Elementární_funkce.
- Elementary_function sameAs Elementare_Funktion.
- Elementary_function sameAs Función_elemental.
- Elementary_function sameAs Elementaarfunktsioon.
- Elementary_function sameAs Alkeisfunktio.
- Elementary_function sameAs Fonction_élémentaire.
- Elementary_function sameAs פונקציה_אלמנטרית.
- Elementary_function sameAs Տարրական_ֆունկցիաներ.
- Elementary_function sameAs Funzione_elementare.
- Elementary_function sameAs 初等関数.
- Elementary_function sameAs Элементар_функциялар.
- Elementary_function sameAs 초등함수.
- Elementary_function sameAs Elementaire_functie.
- Elementary_function sameAs Elementær_funksjon.
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- Elementary_function sameAs Função_elementar.
- Elementary_function sameAs m.02tm2.
- Elementary_function sameAs Элементарные_функции.
- Elementary_function sameAs Elementarna_funkcija.