Sentence examples for composition of relations from inspiring English sources

In this paper, we present the results of a new investigation into dipole constraint calculi which uses algebraic methods to derive sound results on the composition of relations of dipole calculi.

Phase I: using the representations for alignments between (q, r i ) and (r i, d) pairs, our indirect alignment ϕ i between q and d through r i is simply the composition of relations δ i and ψ i.

The paper is centered on the formal definition of the set of geometric relations in terms of the front back and left right dichotomies, and how by the composition of these relations, it can be possible enumerate an exhaustive set of qualitative states and the possible transitions among them.

We show that for resettled rural residents, both the scope and composition of social relations have widened.

On the one hand, spatial composition of ecological relations is a key factor in determining formation and development of biological communities.

The principal aim of the qualitative representation is to perform spatial reasoning: as a basic inference technique, algorithms for the composition of positional relations are developed with respect to same and different frames of reference.

The relative product or composition of two binary relations (mathcal {R}) and (mathcal {R}^) is (mathcal {R} circ mathcal {R}^ = { e,e') | exists t in mathcal {Y} : ((e,t) in mathcal {R}) & ((t,e') in mathcal {R}') }).

When we consider existential composition, we demonstrate that the binary relation resulting from the composition of two cardinal direction relations cannot be expressed using the relations defined by Goyal and Egenhofer.

It is not our intention to criticise the content of the RARBIS here, but from a conceptual point of view one may seriously question the composition of domains in relation to its main intention – the quantification of severity.

Verbalisation can promote this process if it compels students to explore the composition and relations of familiar and new elements within a subject area, to straighten out their lines of thought, and to express them in ways that are comprehensible to listeners (e.g., Reznitskaya et al. 2001; Wuttke 2012).

By allowing different binary relations in the two premises of a syllogism, he was led to introduce the composition of the two binary relations to express the conclusion of the syllogism.