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Homogeneous Function


A homogeneous function is a function that satisfies

 f(tx,ty)=t^nf(x,y)

for a fixed n. Means, the Weierstrass elliptic function, and triangle center functions are homogeneous functions. A transformation of the variables of a tensor changes the tensor into another whose components are linear homogeneous functions of the components of the original tensor.


See also

Euler's Homogeneous Function Theorem, Homogeneous Ordinary Differential Equation

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Cite this as:

Weisstein, Eric W. "Homogeneous Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomogeneousFunction.html

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