modulo.
Given a specified modulus of.
Meaning & usage
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.
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.
With due allowance for (a specified exception or particular detail).
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.
Where this word comes from
From Latin modulō, ablative of modulus (“a measure”).
The operation or function that returns the remainder of one number divided by another.
Where this word comes from
From Latin modulō, ablative of modulus (“a measure”).
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.