Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online lexicon:

Modulus


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

For $ a>0$ and $ x\in\mathbb{R}$ the remainder obtained when dividing $ x$ by $ a$ is denoted by $ x\,\operatorname{mod}\,a$, that is,

$\displaystyle x\,\operatorname{mod}\,a := x - n a \in [0,a)
$

where $ n$ is an integer. If

$\displaystyle x\,\operatorname{mod}\,a = y\,\operatorname{mod}\,a\,
,
$

then $ x$ and $ y$ are said to be congruent modulo $ a$.
[Links]

  automatically generated 3/31/2005