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- Additive_function abstract "In mathematics the term additive function has two different definitions, depending on the specific field of application.In algebra an additive function (or additive map) is a function that preserves the addition operation:f(x + y) = f(x) + f(y)for any two elements x and y in the domain. For example, any linear map is additive. When the domain is the real numbers, this is Cauchy's functional equation.In number theory, an additive function is an arithmetic function f(n) of the positive integer n such that whenever a and b are coprime, the function of the product is the sum of the functions:f(ab) = f(a) + f(b).The remainder of this article discusses number theoretic additive functions, using the second definition.For a specific case of the first definition see additive polynomial. Note also that any homomorphism f between abelian groups is "additive" by the first definition.".
- Additive_function wikiPageID "87372".
- Additive_function wikiPageRevisionID "576535810".
- Additive_function hasPhotoCollection Additive_function.
- Additive_function subject Category:Arithmetic_functions.
- Additive_function type Abstraction100002137.
- Additive_function type ArithmeticFunctions.
- Additive_function type Function113783816.
- Additive_function type MathematicalRelation113783581.
- Additive_function type Relation100031921.
- Additive_function comment "In mathematics the term additive function has two different definitions, depending on the specific field of application.In algebra an additive function (or additive map) is a function that preserves the addition operation:f(x + y) = f(x) + f(y)for any two elements x and y in the domain. For example, any linear map is additive.".
- Additive_function label "Additive function".
- Additive_function label "Additiviteit".
- Additive_function label "Additivität".
- Additive_function label "Fonction additive (arithmétique)".
- Additive_function label "Función aditiva".
- Additive_function label "Funkcja addytywna".
- Additive_function label "Funzione additiva".
- Additive_function label "Função aditiva".
- Additive_function label "Аддитивность".
- Additive_function label "دالة ذات صبغة جمع".
- Additive_function label "加性函數".
- Additive_function label "加法的関数".
- Additive_function sameAs Additivität.
- Additive_function sameAs Función_aditiva.
- Additive_function sameAs Fonction_additive_(arithmétique).
- Additive_function sameAs Funzione_additiva.
- Additive_function sameAs 加法的関数.
- Additive_function sameAs Additiviteit.
- Additive_function sameAs Funkcja_addytywna.
- Additive_function sameAs Função_aditiva.
- Additive_function sameAs m.0l_5n.
- Additive_function sameAs Q353299.
- Additive_function sameAs Q353299.
- Additive_function sameAs Additive_function.
- Additive_function wasDerivedFrom Additive_function?oldid=576535810.
- Additive_function isPrimaryTopicOf Additive_function.