Definitions for antidifference
an·tid·if·fer·ence

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1. antidifferencenoun

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

   If f(x)=b then F(x)=b/(b-1)+C is the general antidifference since F(x+1)-F(x) = [b/(b-1)+C] - [b/(b-1)+C] = (b-b)/(b-1) = b = f(x).

WikipediaRate this definition:0.0 / 0 votes

1. antidifference

   In discrete calculus the indefinite sum operator (also known as the antidifference operator), denoted by ∑ x {\textstyle \sum _{x}} or Δ − 1 {\displaystyle \Delta ^{-1}} , is the linear operator, inverse of the forward difference operator Δ {\displaystyle \Delta } . It relates to the forward difference operator as the indefinite integral relates to the derivative. Thus Δ ∑ x f ( x ) = f ( x ) . {\displaystyle \Delta \sum _{x}f(x)=f(x)\,.} More explicitly, if ∑ x f ( x ) = F ( x ) {\textstyle \sum _{x}f(x)=F(x)} , then F ( x + 1 ) − F ( x ) = f ( x ) . {\displaystyle F(x+1)-F(x)=f(x)\,.} If F(x) is a solution of this functional equation for a given f(x), then so is F(x)+C(x) for any periodic function C(x) with period 1. Therefore, each indefinite sum actually represents a family of functions. However, due to the Carlson's theorem, the solution equal to its Newton series expansion is unique up to an additive constant C. This unique solution can be represented by formal power series form of the antidifference operator: Δ − 1 = 1 e D − 1 {\displaystyle \Delta ^{-1}={\frac {1}{e^{D}-1}}} .

How to pronounce antidifference?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say antidifference in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of antidifference in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of antidifference in Pythagorean Numerology is: 2

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Antidifference
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Antidifference