# Modulo meaning

With respect to a specified modulus.

18 is congruent to 42 modulo 12 because both 18 and 42 leave 6 as a remainder when divided by 12.

preposition

Correcting or adjusting for something, as by leaving something out of account.

This proposal is the best so far, modulo the fact that parts of it need modification.

preposition

An integer that leaves the same remainder when it is the divisor of two other integers. For example, 6 modulo 4 = 2 and 14 modulo 4 = 2. In other words, 6 divided by four results in a remainder of 2, and 14 divided by 4 leaves a remainder of 2.

With respect to a specified modulus. Eighteen is congruent to 42 modulo 12 because both 18 and 42 leave 6 as remainder when divided by 12.

A mathematical operation (modulus arithmetic) in which the result is the remainder of a division. Also known as the "remainder operator," it is used to solve a variety of problems. For example, the following code in the C language determines if a number is odd or even. The number in AMOUNT is divided by 2, and the result is the remainder. If RESULT is zero, the number is even. The % symbol is the modulo, or "modulus" operator. result = amount % 2; if (result == 0) EVEN=YES; else EVEN=NO;

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In telecommunications, referring to the window size, which identifies the maximum number of bytes, frames, or packets that a device can transmit without an acknowledgement from the receiver. As an example, the X.25 protocol has a windowing mechanism that specifies the number of packets that one router can transmit to another without receiving an acknowledgement. TCP has a similar mechanism that is expresses in bytes. Windowing serves as flow control and error control mechanisms. Modulo 8, for example, allows the transmission of 7 datasets without an acknowledgement, but requires an acknowledgement after the 8th dataset. See also error control, flow control, TCP, and X.25.

(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.

preposition

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.

preposition

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.

preposition