asymmetric relation

Davis introduced hierarchical clustering to account for asymmetric relations.

A (strict) preference is an asymmetric relation on :

In mathematics an asymmetric relation is a binary relation on a set X where:

Power relations between parties (asymmetric relation)

Place's version of the relation of identity in the so-called identity thesis is more accurately described as an asymmetric relation of composition.

This is an asymmetric relation that obtains between true propositions, when one of the propositions is not only deducible from, but also explained by the other.

Network theory concerns itself with the study of graphs as a representation of either symmetric relations or, more generally, of asymmetric relations between discrete objects.

Notable concepts such as "sociedad abigarrada" (roughly translated "motley society"), meaning a society juxtaposed by asymmetric relations of differentiated cultural power and its respective modes of production.

So, given a system of equations, and a set of variables appearing in these equations, we can introduce an asymmetric relation among individual equations and variables that corresponds perfectly to our commonsense notion of a causal ordering.