We investigate the conditions under which systems of two differential eigenvalue equations are quasi exactly solvable. These systems reveal a rich set of algebraic structures. Some of them are explicitely described. An exemple of quasi exactly system is studied which provides a direct counterpart of the Lamé equation.

We derive and investigate the S-matrix for the su(2|3) dynamic spin chain and for planar N = 4 super Yang-Mills. Due to the large amount of residual symmetry in the excitation picture, the S-matrix turns out to be fully constrained up to an overall phase. We carry on by diago-nalising it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equ...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

objective(s):n-myc downstream regulated gene 2 (ndrg2) is a candidate gene for tumor suppression. the expression of ndrg2 is down-regulated in several tumors including lung cancer. the aim of this study was to explore the effect of ndrg2 overexpression on invasion, migration, and enzymatic activity of matrix metalloproteinase-2 (mmp-2) and -9 (mmp-9) in human lung adenocarcinoma a549 cells.  ma...

in this paper, we characterize multiresolution analysis(mra) parseval frame multiwavelets in l^2(r^d) with matrix dilations of the form (d f )(x) = sqrt{2}f (ax), where a is an arbitrary expanding dtimes d matrix with integer coefficients, such that |deta| =2. we study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of mra tight frame multiwav...