Sentence examples for basic properties concerning the from inspiring English sources

In a more general setting, we establish basic properties concerning the composition operators acting on Fock spaces associated with noncommutative varieties VP0(H ⊆[B(H n]1 generated by sets P0 of noncommutative polynomials in n indeterminates such that p(0)="0, p∈P0.

In this section we introduce the definitions and the basic properties concerning soft compact topological spaces, which will be useful in the next sections.

We present here two basic properties concerning q-derivatives.

The interesting paper is also [4], where the authors introduced the notion of soft topology on a soft set and proved basic properties concerning soft topological spaces.

We give in this subsection a quick review of basic definitions and properties concerning the differential geometry of manifolds endowed with quaternionic structures.

For the readers' convenience, we quote basic definitions and properties concerning Riesz spaces (see [39]).

The paper contains mathematical justification of basic facts concerning the Brownian motor theory.

First, we state some basic results concerning the trace of the Oriented Markov Matrix.

Furthermore, they established some basic results concerning the strict and nonstrict differential inequalities.

For other details and basic results concerning the above notions, see, for example, [2, 41, 44 50].

Practicability: Which basic conditions concerning the monitoring sites have to be considered?  .