Sentence examples for trivial relations from inspiring English sources

These two relations are supposed to be trivial relations.

This shows that there is no trivial relation that would allow to deduce proliferation properties directly from label intensities.

Ramsey was skeptical of there being any non-trivial relations of logical probability: he said that he could not discern them himself, and that others disagree about them.

All three imply that Y screens X off from Z, and that there are no further non-trivial relations of conditional or unconditional independence.

Bell points out that his own Gleason-type argument against arbitrary closeness of two opposite-valued points presupposes non-trivial relations between values of non-commuting observables, which are only justified given an assumption of noncontextuality (NC).

This suggests a framework to structure future research in discovering community smells, but also suggests an intrinsic difficulty to measure social debt in a precise way, depending on non-trivial relations and characteristics with implicit relations.

The model and data constrain the dynamics of the system and hereby implicitly impose non-trivial relations between the different predictions.

This limitation of known approaches could be due to the non-trivial relation between antonymy and the traditionally used dissimilarity metric.

Indeed, this particular instance of Rautenberg's observation is already well known in the literature on Tonk, recalled in §3 below: any consequence relation in a language including a binary connective which satisfies, relative to that consequence relation, both an ∨-Introduction condition and also an ∧-Elimination condition will be one of these trivial consequence relations.

Consider the examples of trivial supervenience relations from Section 3.5.

The only non-trivial commutator relations between those fields are [X_{j},X_{n+j}]=-4X_{2n+1},quad j=1,ldots,n.