Sentence examples for relation for a given from inspiring English sources

The origin of the axiom of choice was Cantor's recognition of the importance of being able to "well-order" arbitrary sets i.e., to define an ordering relation for a given set such that each nonempty subset has a least element.

The proposed puzzle is to find the value of y that satisfies the following relation for a given integer x, y = F m ( x ).

To use this relation for a given set of materials, the strength developed at a specified age for a binder-to-fluid ratio of 5.0 is to be determined experimentally.

Taking such pair of operators, we obtain the operator conflict relation for a given stage delay: C o n f l i c t R e l a t i o n = ( i, j ) | i, j ∈ N a n d g ( i, j ) > T stage (5).

Since the shaping of the basis functions depends on the knowledge of the dispersion relation for a given set-up, this work considers both numerically simulated ([6]) and experimentally generated ([5]) time-domain signals of Lamb waves in an aluminum plate to evaluate the robustness of the CT-based algorithm as well as its performance.

Another problem originating in the lack of access to computed QC data and the very large number of methods available, is that users typically do not have the integrated information about which method presents the best accuracy vs. cost relation for a given application.

In order to make the relation scores comparable between different articles we normalize all relation scores for a given BioCreative dataset.

Thus, any entailment relation defined for a given valuation system V presents an important example of a consequence relation, in that V is strictly characteristic for some logical system L with a structural Tarskian consequence relation.

Hence, in addition to training a temporal relation classifier, we manually design a set of rules in which each rule returns a temporal relation type for a given test instance.

In particlar, we define the offered load in Erlangs and its relation to blocking for a given capacity.

We can define the consequence relation α β, for a given set of beliefs T, as holding just in case the result of adding belief α to T would include belief in β.