antidifference

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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).”

Similar
indefinite sum
Scrabble 23

Meanings

nounantidifference (plural antidifferences)

plural antidifferences

  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).

    Synonyms: indefinite sum

Synonyms & antonyms

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

Similar
indefinite sum

Origin

  1. Proto-Indo-European*h₂ent-
  2. Proto-Indo-European*h₂énts
  3. Proto-Indo-European*h₂énti
  4. Ancient Greekᾰ̓ντῐ́ (ăntĭ́)
  5. Ancient Greekἀντι- (anti-)
  6. Englishanti-
  7. Proto-Indo-European*dwóh₁
  8. Proto-Indo-European*trísinflu.
  9. Proto-Indo-European*d(w)is-
  10. Proto-Italic*dis-
  11. Latindis-
  12. Proto-Indo-European*bʰer-
  13. Proto-Indo-European*bʰéreti
  14. Proto-Italic*ferō
  15. Latinferō
  16. Latindifferō
  17. Latindifferēns
  18. Latindifferentia
  19. Old Frenchdifference
  20. Middle Englishdifference
  21. Englishdifference
  22. Englishantidifference

From anti- + difference.

Full word history & related roots →
Cite this entry
APA

antidifference. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/antidifference

MLA

“antidifference.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/antidifference. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “antidifference,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/antidifference.

Source: antidifference on Wiktionary, CC BY-SA 4.0.