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Homogeneous Function

A function which satisfies

\begin{displaymath}
f(tx,ty)=t^nf(x,y)
\end{displaymath}

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




© 1996-9 Eric W. Weisstein
1999-05-25