economia: simetria-dual de consumo segun un capital producto lineal en no uno

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


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


nmy=hp
mnx=hq


nmyx=hpx
mnxy=hqy


nmyx+mnxy=hk


2·mnxy=hk


( x=( e^{n}/n ) & y=( e^{m}/m ) )  <==>  2·e^{n}e^{m}=hk


si h=2·( e^{k}/k ) ==>


e^{n}e^{m}=e^{k}


( n=( k+(-j) ) & m=j )


G( (e^{n}/n ) , (e^{m}/m ) ) = e^{n}·e^{m}