antidifference
nounEtymology From anti- + difference.
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).
- Synonyms
- indefinite sum
- Related terms
- antiderivative