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- Additive functions

- Functions and mappings
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- Types of functions
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- Arithmetic functions
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- Additive functions

Additive map

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 domain of For example, any linear map is additi

Sigma-additive set function

In mathematics, an additive set function is a function mapping sets to numbers, with the property that its value on a union of two disjoint sets equals the sum of its values on these sets, namely, If

Arithmetic derivative

In number theory, the Lagarias arithmetic derivative or number derivative is a function defined for integers, based on prime factorization, by analogy with the product rule for the derivative of a fun

Quasimorphism

In mathematics, given a group , a quasimorphism (or quasi-morphism) is a function which is additive up to bounded error, i.e. there exists a constant such that for all . The least positive value of fo

Additive function

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, the function applied to the product ab is the sum of th

Prime omega function

In number theory, the prime omega functions and count the number of prime factors of a natural number Thereby (little omega) counts each distinct prime factor, whereas the related function (big omega)

Logarithm

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, sinc

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