Sentence examples for relation defined by from inspiring English sources

Consider the set and the order relation defined by (1.4).

For every we consider the equivalence relation defined by (2.2).

However, the relation defined by (1) is not a partial order on X since η is not subadditive.

A Dung argumentation framework is instantiated by arguments and a binary conflict based attack relation, defined by some underlying logical theory.

Let ≤ be a partial order relation defined by the cone C with a normal constant (lambda_{C}) in X in Definition  2.3.

Let X be an ordered Banach space, let P be a cone of X, let ≤ be a relation defined by the cone P in Definition  2.1 iii).

It has moved away even further from being the kind of rural agricultural society with its social relations defined by hierarchical, paternalistic relations.

However, relations defined by other dimensions can interfere with the deployment of spatial attention.

Within spatial ecology these were represented as entities having spatial relations with each other, besides the traditional ecological relations defined by their interactions.

Namely, we characterize the postulates introduced in a previous work [Artificial Intelligence 111 (2) (1999) 131 169] as those satisfied by explanatory relations defined by preference relations over formulas.

A solution to non-termination is familiar from classical recursion theory, and also from work on the theory of truth: allow the relations defined by our formal machinery to be partial.