Sentence examples similar to total ordering relation from inspiring English sources

Reciprocity is merely a restatement that the total ordering (le _{ba}) is the relation-inverse of (le _{ab},) so (iii) holds by virtue of the proof of Proposition 5.0.5.

One of the main results of [12] is that one may characterize using a finite list of (mathsf L _t -axioms that each involve no more than four variables—when a ternary relation is the betweenness relation naturally induced by a total ordering.

(Note that the ordering relation is not symmetric).

Thus far, most methods for computing dominance ranks assume implicitly that the dominance relation is a total order of the individuals in a group.

The VF2 uses an arbitrary node relation to obtain a total order.

A set S is well-ordered by a relation < iff < is a total order and every subset of S has a least element in the <-ordering.

Total orders fell a less-than-forecast 0.5percentt.

Shipping charges are 8percentt of the total order.

Then quite different ordering relations are possible.

Total orders today: 4,500.

We define the ordering relations as follows.