Sentence examples for underlying set of the from inspiring English sources

All term building was completed when we produced the underlying set of the algebra).

Given the language of C, meaning the operation symbols and constant symbols common to the algebras of C, along with a set X of variables, we first form the underlying set of the algebra, and then interpret the symbols of the language as operations on and values in that set.

Let 2C M/P C M be the category whose object consists of a pre-crossed module (C,D,∂) and (Y,v) where v : Y → C is simply a function to the underlying set of the algebra C such that ∂ v = 0.

The set G is called the underlying set of the group (G, ).

The underlying set of the module and its operation must form a group.

The underlying set of the group is the above set of symmetry functions, and the group operation is function composition.

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

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.

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.

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.