Difference between revisions of "Modulus"
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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. |
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| + | 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]] | ||
Revision as of 22:56, September 22, 2009
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 "". Similarly, we could write to express the remained of carrying out this division.
Unrelatedly, the complex analogue of the absolute value, given by is also sometimes known as the modulus.
