Sentence examples for composition of the operator from inspiring English sources

Vice versa, a higher TF concentration, like anticipated for CcpA [ 21], would relax the sensitivity towards the composition of the operator and thus enable binding to sites for which the TF has less affinity.

As the composition of the operator motif is tightly related to the affinity of the TF for the DNA this finding implicates that some of the LacI-family TFs could potentially bind to the operators of another.

As an application, we develop some estimates for homotopy operator T, Green's operator G and the composition of the operators T ∘ G. Inequalities for the other class operators and composition operators can be obtained similarly.

The purpose of this paper is to establish the Poincaré-type inequalities for the composition of the homotopy operator, differential operator, and Green's operator under Lipschitz and norms.

In this paper, we prove imbedding inequalities with L φ -norms for the composition of the potential operator and homotopy operator applied to differential forms.

We prove both local and global embedding theorems with (L^{varphi} -norms for the composition of the homotopy operator and projection operator appL^{varphi} -normsial forms.

In recent paper [10], Ding and Liu investigated singular integrals for the composition of the homotopy operator and the projection operator and established some inequalities for these composite operators with singular factors.

However, the study on the composition of the potential operator and other operators has just begun.

However, the study on the composition of the potential operator and other operators is yet to be fully developed.

We first prove the following Poincaré-type inequality for the composition of the homotopy operator and the projection operator.

We first prove a norm inequality for the composition of the Dirac operator and Green's operator.