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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 wikiPageRevisionID "618808947".
- Complex-valued_function id "ComplexFunction".
- Complex-valued_function title "Complex Function".
- 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 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 label "Complexwaardige functie".
- Complex-valued_function label "Комплексная функция".
- Complex-valued_function sameAs Complexwaardige_functie.
- Complex-valued_function sameAs m.0w32_fj.
- Complex-valued_function sameAs Q4230058.
- 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.
