Meaning

3 senses
  1. 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.

    modulo

  2. 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.

  3. 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.

Examples

3 sentences
  1. This equation has no solutions modulo p.

    ruУ этого уравнения нет решения по модулю p. — frpzzd

    deDiese Gleichung hat keine Lösungen modulo 𝑝. — Waldelfe

  2. The congruence ax ≡ b modulo m may have no solutions or multiple solutions if a and m are not relatively prime.

  3. Wilson's theorem says that an integer p greater than 1 is prime if and only if (p-1)! is congruent to -1 modulo p.

    ruТеорема Вильсона гласит, что целое число p, большее 1, является простым тогда и только тогда, когда (p-1)! сравнимо с -1 по модулю p. — Ooneykcall

    CC BY 2.0 FR · Tatoeba · Ooneykcall · C2Open on TatoebaReport a problem

Translations

3 languages
Deutsch
By meaning 1
Given a specified modulus of:

Origin

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

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

Wiktionary, CC BY-SA 4.0 · source

modulo — meaning, examples, forms, synonyms | Krumeto