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Antidifference vs Integrability - What's the difference?

antidifference | integrability |

As nouns the difference between antidifference and integrability

is that antidifference is a function f(x)'' is the antidifference of ''f(x)'' if ''f(x+1)-f(x)=f(x) while integrability is (analysis) the quality of being integrable (having an antidifference or antiderivative).

antidifference

English

Noun

(en 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)''.

    Synonyms

    * indefinite sum

    integrability

    English

    Noun

    (-)
  • (analysis) The quality of being integrable (having an antidifference or antiderivative).