Sentence examples for strict total order from inspiring English sources

More precisely, the referential structure in self-referential paradoxes such as the liar is a reflexive relation on a singleton set (a cycle), whereas the referential structure in Yablo's paradox is isomorphic to the usual less-than ordering on the natural numbers, which is a strict total order (contains no cycles).

This metric is commonly used for measuring performance on graded relevance judgments where the gold standard does not provide a strict total ordering of the data.

Further, we introduce a function ord, which defines a strict total ordering on the nodes, i.e. for each node pair u, v with u≠ v either ord u)<ord v) or ord u)>ord v) holds.

When the choice function maximizes or minimizes over a total order, Bellman's principle implies the strict monotonicity of the scoring functions (Lemma 3.2 below).

Total orders today: 4,500.

He presents his evidence in strict chronological order.

His solutions unwind up the ramp in fairly strict chronological order, gaining strength as they go.

The law understands and decides things to be in a very particular strict logical order.

The judge also imposed a strict gag order on all the parties in the case.

"It's under strict court order, so he cannot talk," she said.

Clearly, (prec ) is a strict partial order.