antidifference

antidifference englanniksi

1. A function ''F(x)'' is the antidifference of ''f(x)'' if ''F(x+1)-F(x)=f(x)''.

''If ''f(x)=bx'' then ''F(x)=bx/(b-1)+C'' is the general antidifference since ''F(x+1)-F(x) = bx+1/(b-1)+C - bx/(b-1)+C = (bx+1-bx)/(b-1) = bx = f(x)''.''