[考古] 中正96年考古 電機系
A function G(x,y,z) is called homogeneous of degree p if , for all values
of the parameter λ,we have the identity
F(λx,λy,λz)=λ^pF(x,y,z)
(b)Prove that if F(x,y,z) is differentiable and homogeneous of degree p,
then F(x,y,z) satisfies
x σF/σx + yσF/σy + zσF/σz =pF.
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