order-embedding

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.

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<2001-03-16>

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Nearby terms: optimise « optimism « OR « order-embedding » ordering » ordinal » ordinate