be a homogeneous function of order 
so thatEuler's Homogeneous Function Theorem
Let be a homogeneous function of order so that
| (1) |
Then define 
and 
. Then
|
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| (2) |
|
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| (3) |
|
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| (4) |
Let 
, then
| (5) |
This can be generalized to an arbitrary number of variables
| (6) |
where Einstein summation has been used.
