Sentence examples for relation defined in from inspiring English sources

A relation defined in this way in a structure A is called a first-order definable relation in A. A useful generalisation is to allow the defining formula to use added names for some specific elements of A; these elements are called parameters and the relation is then definable with parameters.

The likelihood ratio feature LR is obtained with the relation defined in (7).

Now, we show that the relation defined in Proposition 1 does not depend on a particular generator of the order, but on the order itself.

As usual, the preference relation defined in by a closed convex pointed cone is used, which models the preferences used by the decision-maker: (2.2).

Let M be a structure for L and assume that Ref and LL are true in M. Call the relation defined in M by the conjunction of Ref and LL 'indiscernibility' (see Enderton 2000, for the definition of definability in a structure).

Dolomite rock (Rasolofosaon and Zinszner, 2002) of density 2727 kg/m3 is considered as SAGT medium and, in two-suffixed notations, its anisotropic elastic constants (in GPa) are given by The remaining elements of non-symmetric elastic tensor c ij are obtained through the relation defined in Appendix.

Given the lack of a standard definition of target relations to be considered in the Relation Extraction tasks, Table 1 presents some of the relations defined in previous works (the related works are further discussed in Sect. 3).

Firstly, the relations defined in literature are tested.

The same applies to the non-primitive mereological relations defined in the remainder of this entry.

In all, the topography NDVI/NDII relations defined in this paper may improve the understanding of the multi-scale and property-specific role that mountain topography plays in the formation and seasonal change of vegetation patterns.

Constraint set satisfiability is defined so that we can obtain a sound and complete type inference algorithm, by just transforming the relations defined in the type system into functions.