antidifference
antidifference · antidifferences
A function F is the antidifference of f if F-F=fA function F(x) is the antidifference of f(x) if F(x+1)-F(x)=f(x).
Meaning
1 sensesA 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).
Forms
plural: antidifferences| Singular | antidifference |
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regular
Synonyms
1 synonymsindefinite sum
Word family
1 related wordsRelatedantiderivative