Sentence examples for class of sequences from inspiring English sources

Nevertheless, until recently this specific class of sequences has not been systematically studied from the asymptotic standpoint.

As consequences, we obtain a functional calculus, isometric (resp. unitary) dilations, and commutant lifting theorem for the class of sequences of operators with property (P).

A noncommutative Poisson transform associated to a certain class of sequences of operators on Hilbert spaces, with property (P), is defined on some universalC*-algebras (resp. nonselfadjoint algebras) generated by isometries.

By the pattern recognition analysis based on a structure activity relationship (SAR) model, 6 DNA candidate aptamer sequences belonging to the class of sequences with high affinity and specificity have experimental dissociation constants Kd in the nanomolar range.

It is known (see Berkes [3]) that the class of sequences satisfying the ASCLT is larger than the class of sequences satisfying the central limit theorem.

In order to formulate our new results we define the next class of sequences.

We evaluate this new class of sequence-to-sequence models with continuous outputs on the task of neural machine translation.

(1.1) It is obvious that the sequence of nearly nonexpansive mappings is a wider class of sequence of nonexpansive mappings.

The following theorems give some inclusion relations for this class of sequence spaces.

We also obtain another strong limit theorem for the log-optimal portfolio for a class of sequence investments.

Tykhonov types well-posedness such as Tikhonov and Levitin-Polyak well-posedness deal with the behavior of a prescribed class of sequence of approximate solutions.