modulo

modulo

See also: moduló, módulo, and modulò

English

Etymology

From Latin modulō, ablative of modulus (“a measure”).

Pronunciation

• IPA^(key): /ˈmɒdjʊləʊ/

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.

   Synonym: up to

   "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.

Translations

Given a specified modulus of

Icelandic: mátað við

Swedish: modulo

Noun

modulo (uncountable)

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

   Synonym: modulus

See also

• congruent
• remainder

Further reading

• modulo on Wikipedia.Wikipedia
• modulo operation on Wikipedia.Wikipedia

---

Catalan

Verb

modulo

1. first-person singular present indicative form of modular

---

Italian

Noun

modulo m (plural moduli)

1. form

   Synonym: formulario

   Per favore, compili questo modulo. ― Please fill in this form.

2. unit, module
3. (mathematics, physics) modulus
4. (astronomy) module
5. (soccer) formation

Related terms

• modulare

Verb

modulo

1. first-person singular present indicative of modulare

Further reading

• modulo on the Italian Wikipedia.Wikipedia ^it

---

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.