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1 definition found
From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
total ordering
A relation R on a set A which is a {partial
ordering}; i.e. it is reflexive (xRx), transitive (xRyRz =>
xRz) and antisymmetric (xRyRx => x=y) and for any two elements
x and y in A, either x R y or y R x.
See also equivalence relation, well-ordered.
(1995-02-16)