total function
<mathematics> A function which is defined for all arguments of the
appropriate type. The opposite is a partial function.
(1997-01-10)
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totally ordered
<mathematics> Having a total ordering.
(1997-01-10)
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totally ordered » totally ordered set » total
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totally ordered set
<mathematics> A set with a total ordering.
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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.
(1995-02-16)
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