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The '''modulus''' function provides the [[remainder]] of [[division]]. For example, in 5 / 3 the remainder is 2.

The '''modulus''' function provides the [[remainder]] of [[division]]. For example, in 5 / 3 the remainder is 2.  This is often restated as "5 is congruent to 3 modulo 2" and written symbolically as "<math>5 \equiv 2 \mod 3</math>".  Similarly, we could write <math>19 \equiv 1 \mod 3</math> to express the remained of carrying out this division.

 

Unrelatedly, the [[complex number|complex]] analogue of the absolute value, given by <math> |a+bi| = a^2 + b^2</math> is also sometimes known as the modulus.

[[category:Mathematics]]

[[category:Mathematics]]