# modulo

(noun, preposition)

### noun

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

### preposition

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. (jargon or colloquial) 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. (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.*