total ordering

total ordering

(mathematics)
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.
References in periodicals archive ?
It has a maximum total ordering value of approximately $2.

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