Euler's Homogeneous Function Theorem
Let
be a
Homogeneous Function
of order
so that
(1)
Then define
and
. Then
(2)
Let
, then
(3)
This can be generalized to an arbitrary number of variables
(4)
where
Einstein Summation
has been used.
© 1996-9
Eric W. Weisstein
1999-05-25