Sentence examples for use this representation from inspiring English sources

The aim of this work is to use this representation to compute a similarity measure between two documents.

We use this representation to show how the Mann and Ishikawa type iterative methods can be used for the construction of common fixed points of continuous nonexpansive semigroups.

We use this representation to show that every sectorial linear relation (mathcal{T}) is form closable, meaning that the form associated with (mathcal{T}) has a closed extension.

To effectively use this representation for use case identification, branches that do not serve as the separations of use cases should be pruned off in the BRCG.

The majority of chromagram extraction techniques use this representation to map spectral energies to chroma bins, based on: d ( k ) = mod ( 12 log 2 f k f ref + 69, 12 ), (2).

gThis representation denotes p1 (collision|1 visible) = 24.3% when the OBI is equal to 1 ms and p1 (collision|1 visible) = 1.42% when the OBI is equal to 20 ms. For convenience, we use this representation throughout this article.

Using this representation in stages as a reference frame helps us to study how these sub-processes connect and, possibly, interact with each other, thus improving our understanding of the mechanisms of indirect transmission.

Moreover, it is known that some mathematicians used this representation for polynomials in two or three unknowns; however, their writings are lost.

Using this representation, closed-loop diagonal dominance sufficient conditions over the uncertainty space are derived.

Using this representation formula, we prove some new Hardy inequalities on, which include the case of and.

An arbitrary precision might be achieved using this representation (of course at the expense of the high complexity).