theory, an additive function is an arithmetic function f(n) of the positive integer variable n such that whenever a and b are coprime, the function applied...

In mathematics, an additive set function is a function μ {\textstyle \mu } mapping sets to numbers, with the property that its value on a union of two...

instance, a countably additive set function with values in the (signed) real numbers is called a signed measure, while such a function with values in the...

\}} is a continuous function. Thus if f : R → R {\displaystyle f:\mathbb {R} \to \mathbb {R} } is a non-linear additive function then for every point...

Look up additive in Wiktionary, the free dictionary. Additive may refer to: Additive function, a function in number theory Additive map, a function that...

then it can be represented by an additive utility function. If the preferences are represented by an additive function, then a simple arithmetic calculation...

{\displaystyle f(x+y)=f(x)+f(y).\ } A function f {\displaystyle f} that solves this equation is called an additive function. Over the rational numbers, it can...

particularly norms and square roots. Additive maps are special cases of subadditive functions. A subadditive function is a function f : A → B {\displaystyle f\colon...

is no prime number that divides both of them. Then an arithmetic function a is additive if a(mn) = a(m) + a(n) for all coprime natural numbers m and n;...

factor counting functions have many important number theoretic relations. The function ω ( n ) {\displaystyle \omega (n)} is additive and Ω ( n ) {\displaystyle...