economia: simetria-dual de consumo segun un capital exponencial

F(x,y) = e^{nx}+e^{my}+(-1)·h( px+qy+(-k) ) & px+qy=k


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


ne^{nx}=hp
me^{my}=hq


nxe^{nx}=hpx
mye^{my}=hqy


nxe^{nx}+mye^{my}=hk


x=( (k+(-j))/n )
y=( j/m )


(k+(-j))e^{k+(-j)}+je^{j}=hk


si h=( (k+(-j))e^{k+(-j)}+je^{j})/k ) ==>


( x=1 & y=1 ) <==> ( n=( k+(-j) ) & m=j )


G( 1 , 1 ) = e^{n}+e^{m}