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Information overdrive

From time to time we like to help increase the knowledge in the world by sharing some of your educational difficulties in the hope that someone has an idea of what on earth is going on.
This week: Grant Bowgen at WDM is studying the map class help in MSDN. He is wondering if someone can help with the following:
‘An ordering imposed on a set is a strict weak ordering if the binary predicate is irreflexive, antisymmetric, and transitive and if equivalence is transitive, where two objects x and y are defined to be equivalent when both f(x,y) and f(y,x) are false.’
Of course, if you can, we only want to know about it if it is six words or fewer. Preferably fewer.

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