In mathematics, a homogeneous function is a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor. More precisely, if ƒ : V → W is a function between two vector spaces over a field F, and k is an integer, then ƒ is said to be homogeneous of ...
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http://en.wikipedia.org/wiki/Homogeneous_function
Of degree p: f(ax) = (a^p)f(x) for all a. It is positively homogeneous if we restrict a > 0. When the degree is not specified (even by context), it is generally assumed to be 1. For example, x is homogeneous, xy + x² is homogeneous of degree 2, x + x² is not homogeneous, and xy/(x+y) is positively homogeneous on R²++.
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http://glossary.computing.society.informs.org/index.php?page=H.html
A function with the property that multiplying all arguments by a constant changes the value of the function by a monotonic function of that constant: F(lV)=g(l)F(V), where F(·) is the homogeneous function, V is a vector of arguments, l>0 is any constant, and g(·) is some strictly increasing positive function. Special cases include homogeneous of...
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http://www-personal.umich.edu/~alandear/glossary/
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