What does additive function mean?
Definitions for additive function
ad·di·tive func·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word additive function.
Wiktionary
additive functionnoun
A unary function that preserves the addition operation; a unary function f such that for any x and y: f(x + y) = f(x) + f(y).
Wikipedia
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 the values of the function applied to a and b:
Wikidata
Additive function
In mathematics the term additive function has two different definitions, depending on the specific field of application. In algebra an additive function is a function that preserves the addition operation: 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 of the positive integer n such that whenever a and b are coprime, the function of the product is the sum of the functions: 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.
Numerology
Chaldean Numerology
The numerical value of additive function in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of additive function in Pythagorean Numerology is: 5
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"additive function." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/additive+function>.
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