Sentence examples for sets defined by from inspiring English sources

Or, more generally, problems that deal with basic semialgebraic sets (sets defined by polynomial equalities and inequalities).

In particular, analyzing genomic data through sets defined by functional pathways offers the potential of greater power for discovery and natural connections to biological mechanisms.

During enrichment analysis, the input gene list is compared to thousands of gene sets defined by their involvement in specific biological processes, protein localization, enzymatic function, pathway membership, or other features.

Following recent work, the approach is based on the use of level sets defined by functions satisfying the Liouville equations in reduced phase-space and, in particular, it relies on the smoothness of these functions to represent them by rapidly convergent spectral expansions in the phase variables.

Consider the sets defined by (3.45).

The effective domain and the epigraph of are the nonempty sets defined by.

Remark The vertex sets defined by two subsets U, V ⊂ G do not need to be disjoint.

As the words "genotype" and "phenotype" suggest, these are types, sets of which any given organism and its genome are members, sets defined by their physical description.

Consider the optimization problem (6) with uncertain sets defined by (Omega^{2}), (6) can be reformulated as QCQP or convex program.

The proof of Theorem 1 is based on the following lemma, where the notion of peak sets defined by Eq. (10) is essentially used.

For the disease genes, we quantified and tested the enrichment of gene-sets defined by functional categories provided by Gene Ontology annotations in disease gene list.