order-embedding

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order-embedding definition


A function f : D -> C is order-embedding iff for all x, y in D,
f(x) <= f(y) <=> x <= y.
I.e. arguments and results compare similarly. A function which is order-embedding is monotonic and one-to-one and an injection.
("<=" is written in LaTeX as \sqsubseteq).
(1995-02-03)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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