modulo

Modul-o

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

Pronunciation

• (Received Pronunciation) IPA^(key): /ˈmɒd͡ʒələʊ/, /ˈmɒdjʊləʊ/
• (General American) IPA^(key): /ˈmɑd͡ʒəloʊ/

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.

   21 is congruent to 3 modulo 9.

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.

3. (The addition of quotations indicative of this usage is being sought:) (extended use) With due allowance for (a specified exception or particular detail).

   Synonyms: barring, except for, save for; see also Thesaurus:except

   In the Lisp programming language, 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.