homogeneous function

Function with multiplicative scaling behaviour

EntityQ1132952

Subclass of: function

Overview

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In mathematics, a homogeneous function is a function of several variables such that the following holds: If each of the function's arguments is multiplied by the same scalar, then the function's value is multiplied by some power of this scalar; the power is called the degree of homogeneity, or simply the degree. That is, if k is an integer, a function f of n variables is homogeneous of degree k if

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10 statements · 20% with external sources · numbers in brackets are citations

Different from: positively homogeneous function

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9 identifiers linking homogeneous function across the web's reference databases

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statements

20%

externally sourced

Source last edited October 8, 2026. AIDB refreshes this page daily.

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AIDB. (2026). homogeneous function (Q1132952). Retrieved from https://aidb.si/e/homogeneous-function-Q1132952