Difference between revisions of "Total order"

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Latest revision as of 14:29, 30 August 2016

In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set {\displaystyle X} X, which is transitive, antisymmetric, and total (this relation is denoted here by infix {\displaystyle \leq } \leq ).

A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain.

See also

External links