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Definition 2024


modulo

modulo

See also: moduló, módulo, and modulò

English

Preposition

modulo

  1. (mathematics) Given a specified modulus of.
    21 and 84 are congruent to each other modulo 9, since both numbers leave the same remainder, 3, when divided by 9.
    Thus 21 modulo 9 is 3, because when 21 is divided by 9, the remainder is 3.
  2. (technical) Except for differences accounted for by.
    "A is the same as B modulo C" means A is the same as B except for differences accounted for by C.
    • 1990, Margaret Speas, Phrase Structure in Natural Language, p. 281:
      Thus, the underlying structure which I would assign to Navajo will be identical, modulo word order, to the one that we found to be projected in all of the languages studied in chapter 3.
    • 2002, Richard Arneson, "Egalitarianism", in The Stanford Encyclopedia of Philosophy:
      Moreover, in the role of consumer, each individual (modulo his location) faces the same array of goods and services on sale to anyone who can pay the purchase price[.]
  3. (The addition of quotations indicative of this usage is being sought): (extended use) With due allowance for (a specified exception or particular detail).
    The "tail recursion modulo cons" technique allows functions that would be tail recursive but for a cons call to be transformed into a tail recursive form.
    All mammals, modulo the monotremes, give birth to live young.

Synonyms

  • (except for differences accounted for by): up to

Translations

Noun

modulo (uncountable)

  1. (computing) the operation or function that returns the remainder of one number divided by another

See also


Catalan

Verb

modulo

  1. first-person singular present indicative form of modular

Italian

Noun

modulo m (plural moduli)

  1. form
  2. unit, module
  3. (mathematics, physics) modulus
  4. (astronomy) module

Related terms

Verb

modulo

  1. first-person singular present indicative of modulare

Latin

Noun

modulō

  1. dative singular of modulus
  2. ablative singular of modulus

Spanish

Verb

modulo

  1. First-person singular (yo) present indicative form of modular.