Sentence examples for contains the operator from inspiring English sources

In the bottom right hand corner (or close to it) contains the operator's you'll need (+, -, * and /).

The purpose of this paper is to consider the asymptotic behavior of the counting function N of eigenvalues for a class of differential operators containing the operator A=− Δ+(|x|2+1)py2, (x,y) ϵRpxR.

It is shown in this paper that Schrodinger, parabolic and hyperbolic equations containing the operator Ĥ can be approximated by explicitly defined systems of evolution equations of a larger order.

To evaluate the polarization effect,, a wave function containing the operator is solved [Eq. (16 ]: (16) The dispersion contributions,, were evaluated as.

In the special case where (2.1) does not contain the operators and, Lemmas 2.1 and 2.3 develop Lemma 2.1 [28], and Corollaries 2.2 and 2.4 develop Corollary 2.1 [28].

Remark 3.7 Since the class of quasi-pseudocontractions contains the demicontractive operators, the directed operators, the quasi-nonexpansive operators and the strictly pseudocontractive mappings with fixed points as special cases, our results present a unified framework for the study of this problem and this class of operators.

In view of previous work, one obtains a complete characterization of the bounded functions that are solutions for any system of type (1,1) which contains the Laplace Beltrami operator.

The above definition of ∇ α u(n) given by Nagai[4] contains the ∇ operator and the term (−1) j inside the summation index, and hence, it becomes difficult to study the properties of the solution.

It is usually assumed that the von Neumann algebra contains the identity operator.

PyMT DNA (∼1.27 kb) was amplified from pBluescript II-PyMT by PCR using primers containing EcoRI and ClaI sites, and was then released by EcoRI/ClaI digestion and subcloned into a EcoRI/ClaI digested TMILA plasmid which contains the tetracycline operator, an internal ribosome entry site (IRES), firefly luciferase coding region (Luc), and the SV40 polyadenylation signal [29], [31].

For our system the part f1, which is treated implicitly, contains the linear operators L i from Eq. (6), while the explicit part f2 contains the source terms of Eq. (6) and the functions G i from Eq. (9).