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Pronunciation varies by accent · noun
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).
Use antidifference when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Antidifference means A function F(x) is the antidifference of f(x) if F(x+1)-F(x)=f(x)..
Common synonyms include indefinite sum.
The opposite depends on the specific sense.
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).
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