Sentence examples for under a relation from inspiring English sources

Instead of appealing to naturalness, disjunctiveness, or the notion of one fact obtaining in virtue of another, Denby's account employs the notion of an object instantiating a property under a relation.

(In fact it would be preferable to take equivalence classes of such pairs under a relation of translational equivalence but we will make no further explicit use of these ordered pairs or any such equivalence classes, and keep this aspect of the discussion relatively informal. Instead of saying "⟨#, ⊢⟩", we will say things like "# as it behaves according to ⊢".

The information is particularly precious, since the exact size of neutron stars for a given mass is a major point of contention among theorists who try to understand how nuclear matter behaves under tremendous pressures, a relation described mathematically by the "equation of state".

They proved the global existence of solution under assumption of a relation between the weight of the delay term in the feedback and the weight of the term without delay.

In 2012, Azam [3] obtained the existence of a coincidence point of a mapping and a relation under a contractive condition in the context of metric space.

In the present article, we prove the existence of a coincidence point of a mapping and a relation under a contractive condition which is an innovative and real generalization of the Banach contraction theorem.

Under the gBGC hypothesis, a relation between mean GC3 and GC3 standard deviation is expected if genes are differentially affected by gBGC depending on their local recombination rate.

These findings suggest a relation between under reproduction (possibly reflecting a somewhat speeded internal clock and/or impulsivity) and ADHD.

According to Lewis, believing a property that uniquely determines an object under an acquaintance relation is sufficient for having a de re belief about that object.

This is an equivalence relation on the hyperreal line: for each hyperreal a we write μ(a) for the equivalence class of a under this relation and call it the monad of a.

It is a set of sentences closed under the consequence relation: a consequence of some sentences in the set is also a sentence in the set.