homogeneous function

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English

Noun

homogeneous function (plural homogeneous functions)

(mathematics) homogeneous polynomial
(mathematics) the ratio of two homogeneous polynomials, such that the sum of the exponents in a term of the numerator is equal to the sum of the exponents in a term of the denominator.
${\frac {x^{3}+xy^{2}+x^{2}y+y^{3}}{z^{3}}}$
(mathematics) a function f(x) which has the property that for any c, $f(cx)=cf(x)$ .

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