Homogeneous function: Difference between revisions

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===Rational functions===

[[Rational function]]s formed as the ratio of two {{em|homogeneous}} polynomials are homogeneous functions in their [[___domain of a function|___domain]], thtthat is, off of the [[linear cone]] formed by the [[zero of a function|zeros]] of the denominator. Thus, if <math>f</math> is homogeneous of degree <math>m</math> and <math>g</math> is homogeneous of degree <math>n,</math> then <math>f / g</math> is homogeneous of degree <math>m - n</math> away from the zeros of <math>g.</math>

===Non-examples===