Sentence examples for underlying sets from inspiring English sources

When a group acts transitively on the underlying sets, this attempt broadens the category of designs and makes all the clearer the relation between combinatorial and algebraic structures of designs.

Another novel feature of our study is the use of ICA, a powerful data-driven technique that utilizes higher order statistics to discover hidden factors underlying sets of random variables and signals to examine working memory abnormalities in schizophrenia.

In fact, the comparison of two given pathways is based on their underlying sets of reactions and ignores their structure.

Similarly, the determination of putative domain interactions depends on the quality and completeness of the underlying sets of protein interactions.

Merging of species tree nodes (and of the underlying sets of orthologous genes, where in a mutual-best-hit or unblocked-hit relationship) continues iteratively until the root node of the species tree is reached.

All five of the underlying sets of credibility criteria also agree that reliable science involves the PI, by written agreement with the funding source, having the right to publish the study results without prior sponsor approval.

Informally, the underlying set W is a set of situations, and R is an accessibility relation connecting situations.

If the underlying set in the formulation of a variational inequality problem is a set of fixed points of a mapping or, more precisely, of a nonexpansive mapping, then the variational inequality problem is called hierarchical variational problem.

Let U : Grp → Set be the forgetful functor, that is, the functor that sends to each group G its underlying set of elements U G), and to a group homomorphism f : G → H the underlying set function U f) : U G) → U H).

Imputation was performed to infer genotypes at untyped markers using MACH 1.0.16 (http://www.sph.umich.edu/csg/MaCH), which uses a hidden Markov model to estimate an underlying set of unphased genotypes for each individual in a cohort.

We also discuss how this geometric formulation reflects the underlying set of gene interactions.