What does "antidifference" mean?

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

What is a synonym for "antidifference"?

Common synonyms include: indefinite sum, indefinite sum.

noun

noun ·Rare ·Advanced level

Noun

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)."

"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)."

From anti- + difference.

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.