Sentence examples for contains integration from inspiring English sources

The toolbox contains integration vectors and promoter-insertion vectors, which carry the LE*-KanMX-RE* cassette that comprises a KanMX module flanked by the palindromic mutant loxP sites (i.e., LE* and RE*).

This system is given below: where asterisk denotes complex conjugation and functions f i θ, x k) are given by Note that Eq. (14) contains integration over projection angles θ.

But to our knowledge, Gronwall-Bellman-type integral inequalities containing integration on infinite intervals on time scales have been paid little attention in the literature so far.

Furthermore, delay integral inequalities containing integration on infinite intervals for discontinuous functions have not been reported in the literature so far.

We have established several new Gronwall-Bellman-type integral inequalities containing integration on infinite intervals on time scales, which unify some known continuous and discrete results in the literature.

In this paper, some new Gronwall-Bellman type integral inequalities on time scales containing integration on infinite intervals are established.

In this paper, we establish some new Gronwall-Bellman type integral inequalities on time scales containing integration on infinite intervals.

But to our knowledge, Gronwall-Bellman type integral inequalities on time scales containing integration on infinite intervals have been paid little attention so far in the literature.

We have established some new Gronwall-Bellman type integral inequalities on time scales containing integration on infinite intervals, which can be used in the research of boundedness and other qualitative properties as well as quantitative properties of solutions of certain dynamic equations on time scales.

In this paper, we establish some new Gronwall-Bellman-type integral inequalities in two independent variables containing integration on infinite intervals on time scales, which unify some of the continuous inequalities in [21] and the corresponding discrete analysis in [22].

In [1], Gao and Meng established a generalized Gronwall-Bellman type integral inequality, named Mate-Nevai type nonlinear integral inequality for continuous functions, which is one case of inequalities containing integration on infinite intervals for continuous functions.