Sentence examples for extensions of the underlying from inspiring English sources

This chapter reviews the mathematical model for LCA and deals with a variety of specific applications and extensions of the underlying model.

A key feature is the extension of the boundary maps by continuity to the duals of certain range spaces, which directly leads to a description of all self-adjoint extensions of the underlying symmetric operator with the help of abstract boundary values.

The technique introduced here is a logical extension of the underlying concepts of fuzzy sets and Markov models.

Basically, ReduxSTM combines two major ideas: a sequential-equivalent ordering of transaction commits that assures the correct result, and an extension of the underlying TM privatization mechanism to reduce unnecessary overhead due to reduction memory updates as well as unnecessary aborts and rollbacks.

However, a BIA model that includes prevalence and incidence often does require the complexity of a cost-effectiveness model, and therefore can be based on an extension of the underlying cost-effectiveness model.

These could be implemented via simple 'punch-out' type capabilities to the EMAGE graphical interfaces or via stored queries held in the database but will require extension of the underlying BioMart model.

It will be seen that these tables, owing to the Polish logician Jan Łukasiewicz, are the same as the ordinary two-valued ones when the arguments have the values 1 and 0. The other values are intended to be intuitively plausible extensions of the principles underlying the two-valued calculus to cover the cases involving half-true arguments.

In addition, it will allow important extensions, such as the estimation of the underlying copy number.

To resorb bone effectively, osteoclasts attach themselves firmly to the bone surface using specialized actin-rich podosomes, which they use to form tightly sealed roughly circular extensions of their cytoplasm with the underlying bone matrix.

It is true that using this approach precludes a "discourse concerning the objects of sight", and by extension the underlying mechanism of age-related muscle degeneration.

As is well-known, this extension of does not require the orientability of the underlying manifold, and is therefore different from the classical extension of for maps acting between oriented differentiable manifolds.