economia: simetria-dual de consumo segun un capital producto potencial

F(x,y) = x^{n}·y^{m}+(-1)·h( px+qy+(-k) ) & px+qy=k


d_{x}[F(x,y)] = nx^{(n+(-1))}·y^{m}+(-1)·hp
d_{y}[F(x,y)] = my^{(m+(-1))}·x^{n}+(-1)·hq


nx^{(n+(-1))}·y^{m}=hp
my^{(m+(-1))}·x^{n}=hq


nx^{n}·y^{m}=hpx
my^{m}·x^{n}=hqy


n·x^{n}·y^{m}+m·x^{n}·y^{m}=hk


(n+m)·x^{n}·y^{m}=hk


( x=1 & y=1 )  <==>  n+m=hk


si h=1 ==>


( n=( k+(-j) ) & m=j )


G( 1 , 1 ) = 1