antidifference

名词 n.
中文释义

英文释义

名词 n.
  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).

词形变化

antidifferences plural

词源

Etymology tree
Proto-Indo-European *h₂ent-
Proto-Indo-European *-s
Proto-Indo-European *h₂énts
Proto-Indo-European *-i
Proto-Indo-European *h₂énti
Ancient Greek ᾰ̓ντῐ́ (ăntĭ́)
Ancient Greek ἀντι- (anti-)der.
English anti-
Proto-Indo-European *dwóh₁
Proto-Indo-European *d(w)is-
Proto-Italic *dis-
Latin dis-
Proto-Indo-European *bʰer-
Proto-Indo-European *bʰéreti
Proto-Italic *ferō
Latin ferō
Latin differō
Latin differēns
Proto-Indo-European *-yós
Proto-Italic *-ios
Old Latin -ios
Latin -ius
Latin -ia
Latin differentiader.
Old French differencebor.
Middle English difference
English difference
English antidifference
From anti- + difference.
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