In number theory, an additive function is an arithmetic function f(n) of the positive integer variable n such that whenever a and b are coprime, ... Completely additive · Examples · Summatory functions |
| Аддитивность |  |
В теории чисел аддитивная функция — это арифметическая функция f(n) положительной целочисленной переменной n, такая, что всякий раз, когда a и b взаимно просты, функция, применяемая к произведению ab, представляет собой сумму значений функции,... Википедия (Английский язык)
In algebra, an additive map, -linear map or additive function is a function that preserves the addition operation: for every pair of elements and. in the ... |
We say that a function f : R → R is additive if, for all x ∈ R and all y ∈ R, f(x + y) = f(x) + f(y). Lemma 1. Suppose ϕ : R → R is additive and suppose ϕ is ... |
7 июл. 2021 г. · An additive function is a sequence such that gcd(a,b)=1 implies f(ab)=f(a)+f(b). A completely addititive function is one where the condition ... |
2 апр. 2012 г. · Ask Question. Viewed 4k times. 5. Linear functions are said to be additive: f(x+y)=f(x)+f(y) But if I have this simple function f(x)=7x+3, I ... Completely additive functions - Math Stack Exchange Additive and multiplicative function. - Math Stack Exchange Другие результаты с сайта math.stackexchange.com |
An additive function is an arithmetic function such that whenever positive integers a and b are relatively prime, f(ab)=f(a)+f(b). |
15 апр. 2023 г. · An additive arithmetic function is said to be strongly additive if f(pa)=f(p) for all prime numbers p and all positive integers a≥1. |
7 нояб. 2016 г. · An arithmetic function is said to be additive if f(mn) = f(m) + f(n) for any relatively prime positive integers m, n and is said to be ... |
22 мар. 2013 г. · Let f:V→R f : V → R be a function on a real vector space V V (more generally we can consider a vector space V V over a field F F ). |
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