antidifference

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

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

Syn: indefinite sum
See Also: antiderivative

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