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# Science Fair Project Encyclopedia

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# Total relation

In mathematics, a binary relation R over a set X is total if it holds for all a and b in X that a is related to b or b is related to a.

In mathematical notation, this is:

$\forall a, b \in X,\ a R b \or b R a$

For example, "is less than or equal to" is a total relation over the set of real numbers, while "is less than" is not.

Last updated: 10-12-2005 06:08:27
03-10-2013 05:06:04