Sentence examples for smallest relation from inspiring English sources

For instance that the reflexive, transitive closure \(E^* x,y)\) of the edge relation of a graph \(G = \langle V,E \rangle\) as the smallest relation satisfying the condition \(E^* x,y)\) is thus definable as \ \text{Fix}((x = y) \vee E x,y) \vee \exists z(R x,z) \wedge R z,y))\).

For instance that the reflexive, transitive closure \(E^* x,y)\) of the edge relation of a graph \(G = \langle V,E \rangle\) as the smallest relation satisfying the condition \[ E^* x,y) \leftrightarrow [(x = y) \vee E x,y) \vee \exists z(E^* x,z) \wedge E^* z,y)] \] \(E^* x,y)\) is thus definable as \ \text{Fix}((x = y) \vee E x,y) \vee \exists z(R x,z) \wedge R z,y))\).

In a multivariate linear regression model adjusted for the clinical confounders used in model 1 and histopathological variables, diabetic retinopathy, HbA1c and eGFR were the variables with the smallest relation to the decrease in haemoglobin level (P =  0.85, 0.79 and 0.74, respectively); therefore, model 2 was devised by excluding diabetic retinopathy, HbA1c, and eGFR.

The figures on college plans suggest that on yet a second measure, Houston put forth data that bear small relation to the hard reality most students face.

They showed that there are eighteen isomorphism types of small relation algebras, all representable.

If the value contains a bag of multiple tuples, it will correspond to a small relation, too.

This kind of UDF reads in one tuple and expands it into a bag of tuples, forming a small relation.

For each simple, small relation algebra they computed the spectrum of the algebra, namely the set of cardinalities of square representations of that relation algebra.

Andréka and Maddux [Notre Dame J. Formal Logic 35 (4) 1994] classified the small relation algebras those with at most 8 elements, or in other terms, at most 3 atomic relations.

This meta-analytic documentation of a conclusive, but small, relation between TID and cognitive function in a large pediatric sample is significant given the "noise" and variability present in most clinical research studies.

It can be defined, equally circularly (because quantifying over all equivalence relations including itself), as the smallest equivalence relation (an equivalence relation being one which is reflexive, symmetric and transitive, for example, having the same shape).