homogeneous function
التعريفات والمعاني
== 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.
x
3
+
x
y
2
+
x
2
y
+
y
3
z
3
{\displaystyle {\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
(
c
x
)
=
c
f
(
x
)
{\displaystyle f(cx)=cf(x)}
.
==== Translations ====