Completely multiplicative function (original) (raw)
في نظرية الأعداد، دالة جدائية بصفة كاملة (بالإنجليزية: Completely multiplicative function) هي دالة مداخلها أعداد صحيحة طبيعية تحافظ على الجداء. أي أن صورة جداء عددين طبيعيين بهذه الدالة هو جداء صورة العددين بالدالة نفسها مهما كانا هذان العددان.
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| dbo:abstract | في نظرية الأعداد، دالة جدائية بصفة كاملة (بالإنجليزية: Completely multiplicative function) هي دالة مداخلها أعداد صحيحة طبيعية تحافظ على الجداء. أي أن صورة جداء عددين طبيعيين بهذه الدالة هو جداء صورة العددين بالدالة نفسها مهما كانا هذان العددان. (ar) In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting only products of coprime numbers, and such functions are called multiplicative functions. Outside of number theory, the term "multiplicative function" is often taken to be synonymous with "completely multiplicative function" as defined in this article. (en) En théorie des nombres, les fonctions définies sur l'ensemble des entiers naturels non nuls et qui respectent les produits sont appelées fonctions complètement multiplicatives ou fonctions totalement multiplicatives. Elles font partie des fonctions multiplicatives, qui ne respectent que les produits de nombres premiers entre eux. En dehors de la théorie des nombres, le terme « fonction multiplicative » est souvent considéré comme synonyme de « fonction complètement multiplicative » tel que défini dans cet article. (fr) Na teoria dos números, as funções de inteiros positivos que respeitam os produtos são importantes e são chamadas de funções completamente multiplicativas ou funções totalmente multiplicativas. Uma condição mais fraca também é importante, respeitando apenas produtos de números de coprimos, e tais funções são chamadas de funções multiplicativas. Fora da teoria dos números, o termo "função multiplicativa" é frequentemente considerado sinônimo de "função completamente multiplicativa", conforme definido neste artigo. (pt) |
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| rdfs:comment | في نظرية الأعداد، دالة جدائية بصفة كاملة (بالإنجليزية: Completely multiplicative function) هي دالة مداخلها أعداد صحيحة طبيعية تحافظ على الجداء. أي أن صورة جداء عددين طبيعيين بهذه الدالة هو جداء صورة العددين بالدالة نفسها مهما كانا هذان العددان. (ar) In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting only products of coprime numbers, and such functions are called multiplicative functions. Outside of number theory, the term "multiplicative function" is often taken to be synonymous with "completely multiplicative function" as defined in this article. (en) En théorie des nombres, les fonctions définies sur l'ensemble des entiers naturels non nuls et qui respectent les produits sont appelées fonctions complètement multiplicatives ou fonctions totalement multiplicatives. Elles font partie des fonctions multiplicatives, qui ne respectent que les produits de nombres premiers entre eux. En dehors de la théorie des nombres, le terme « fonction multiplicative » est souvent considéré comme synonyme de « fonction complètement multiplicative » tel que défini dans cet article. (fr) Na teoria dos números, as funções de inteiros positivos que respeitam os produtos são importantes e são chamadas de funções completamente multiplicativas ou funções totalmente multiplicativas. Uma condição mais fraca também é importante, respeitando apenas produtos de números de coprimos, e tais funções são chamadas de funções multiplicativas. Fora da teoria dos números, o termo "função multiplicativa" é frequentemente considerado sinônimo de "função completamente multiplicativa", conforme definido neste artigo. (pt) |
| rdfs:label | دالة جدائية بصفة كاملة (ar) Completely multiplicative function (en) Fonction complètement multiplicative (fr) Função completamente multiplicativa (pt) |
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