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- Complex-valued_function abstract "In mathematics, a complex-valued function (sometimes referred to as complex function) is a function whose values are complex numbers. In other words, it is a function that assigns a complex number to each member of its domain. This domain does not necessarily have any structure related to complex numbers. Most important uses of such functions in complex analysis and in functional analysis are explicated below.A vector space and a commutative algebra of functions over complex numbers can be defined in the same way as for real-valued functions. Also, any complex-valued function f on an arbitrary set X can be considered as an ordered pair of two real-valued functions: (Ref, Imf) or, alternatively, as a real-valued function φ on X × {0, 1} (the disjoint union of two copies of X) such that for any x:Re f(x) = F(x, 0)Imf(x) = F(x, 1)Some properties of complex-valued functions (such as measurability and continuity) are nothing more than corresponding properties of real-valued functions.".
- Complex-valued_function thumbnail ExponentielleComplexe_Puissances2.png?width=300.
- Complex-valued_function wikiPageID "4415007".
- Complex-valued_function wikiPageLength "4093".
- Complex-valued_function wikiPageOutDegree "49".
- Complex-valued_function wikiPageRevisionID "618808947".
- Complex-valued_function wikiPageWikiLink 2_(number).
- Complex-valued_function wikiPageWikiLink Algebraically_closed_field.
- Complex-valued_function wikiPageWikiLink Analytic_continuation.
- Complex-valued_function wikiPageWikiLink Analytic_function.
- Complex-valued_function wikiPageWikiLink C*-algebra.
- Complex-valued_function wikiPageWikiLink Cartesian_product.
- Complex-valued_function wikiPageWikiLink Category:Complex_analysis.
- Complex-valued_function wikiPageWikiLink Category:Functional_analysis.
- Complex-valued_function wikiPageWikiLink Category:Types_of_functions.
- Complex-valued_function wikiPageWikiLink Codomain.
- Complex-valued_function wikiPageWikiLink Commutative_algebra.
- Complex-valued_function wikiPageWikiLink Complex_analysis.
- Complex-valued_function wikiPageWikiLink Complex_manifold.
- Complex-valued_function wikiPageWikiLink Complex_number.
- Complex-valued_function wikiPageWikiLink Continuous_function.
- Complex-valued_function wikiPageWikiLink Disjoint_union.
- Complex-valued_function wikiPageWikiLink Domain_(mathematical_analysis).
- Complex-valued_function wikiPageWikiLink Domain_of_a_function.
- Complex-valued_function wikiPageWikiLink Finite_set.
- Complex-valued_function wikiPageWikiLink Fourier_transform.
- Complex-valued_function wikiPageWikiLink Function_(mathematics).
- Complex-valued_function wikiPageWikiLink Function_space.
- Complex-valued_function wikiPageWikiLink Functional_analysis.
- Complex-valued_function wikiPageWikiLink Gelfand_representation.
- Complex-valued_function wikiPageWikiLink Hilbert_space.
- Complex-valued_function wikiPageWikiLink Holomorphic_function.
- Complex-valued_function wikiPageWikiLink Lp_space.
- Complex-valued_function wikiPageWikiLink Mathematical_structure.
- Complex-valued_function wikiPageWikiLink Measurable_function.
- Complex-valued_function wikiPageWikiLink Measure_(mathematics).
- Complex-valued_function wikiPageWikiLink Neighbourhood_(mathematics).
- Complex-valued_function wikiPageWikiLink Operator_theory.
- Complex-valued_function wikiPageWikiLink Ordered_pair.
- Complex-valued_function wikiPageWikiLink P-adic_analysis.
- Complex-valued_function wikiPageWikiLink Quantum_mechanics.
- Complex-valued_function wikiPageWikiLink Real-valued_function.
- Complex-valued_function wikiPageWikiLink Riemann_surface.
- Complex-valued_function wikiPageWikiLink Set_(mathematics).
- Complex-valued_function wikiPageWikiLink Smoothness.
- Complex-valued_function wikiPageWikiLink Uniqueness_quantification.
- Complex-valued_function wikiPageWikiLink Vector_space.
- Complex-valued_function wikiPageWikiLink Wave_function.
- Complex-valued_function wikiPageWikiLink File:Eulers_formula.svg.
- Complex-valued_function wikiPageWikiLink File:ExponentielleComplexe_Puissances2.png.
- Complex-valued_function wikiPageWikiLinkText "Complex-valued function".
- Complex-valued_function wikiPageWikiLinkText "complex function".
- Complex-valued_function wikiPageWikiLinkText "complex-valued function".
- Complex-valued_function wikiPageWikiLinkText "complex-valued".
- Complex-valued_function id "ComplexFunction".
- Complex-valued_function title "Complex Function".
- Complex-valued_function wikiPageUsesTemplate Template:Expand_section.
- Complex-valued_function wikiPageUsesTemplate Template:Main.
- Complex-valued_function wikiPageUsesTemplate Template:Math.
- Complex-valued_function wikiPageUsesTemplate Template:MathWorld.
- Complex-valued_function wikiPageUsesTemplate Template:Mvar.
- Complex-valued_function wikiPageUsesTemplate Template:Refimprove.
- Complex-valued_function subject Category:Complex_analysis.
- Complex-valued_function subject Category:Functional_analysis.
- Complex-valued_function subject Category:Types_of_functions.
- Complex-valued_function hypernym Function.
- Complex-valued_function type Disease.
- Complex-valued_function comment "In mathematics, a complex-valued function (sometimes referred to as complex function) is a function whose values are complex numbers. In other words, it is a function that assigns a complex number to each member of its domain. This domain does not necessarily have any structure related to complex numbers.".
- Complex-valued_function label "Complex-valued function".
- Complex-valued_function sameAs Q4230058.
- Complex-valued_function sameAs Komplexwertige_Funktion.
- Complex-valued_function sameAs Кешен_айнымалды_функция.
- Complex-valued_function sameAs Complexwaardige_functie.
- Complex-valued_function sameAs m.0w32_fj.
- Complex-valued_function sameAs Комплексная_функция.
- Complex-valued_function sameAs Комплексна_функція.
- Complex-valued_function sameAs Q4230058.
- Complex-valued_function wasDerivedFrom Complex-valued_function?oldid=618808947.
- Complex-valued_function depiction ExponentielleComplexe_Puissances2.png.
- Complex-valued_function isPrimaryTopicOf Complex-valued_function.
