We study solutions of the Bethe ansatz equations associated to orthosymplectic Lie superalgebras $$\mathfrak {osp}_{2m+1|2n}$$ and {osp}_{2m|2n}$$ . Given a solution, we define reproduction procedure use it construct family new which call population. To each population associate symmetric rational pseudo-differential operator $$\mathcal R$$ Under some technical assumptions, show that superkerne...

This paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the vasicek model to a stochastic nonlinear system of $2m+2$ equations and $2m+2$ unknowns. Finally, the error analysis and some numerical examples are provided...

In 1962, S. L. Hakimi proved necessary and sufficient conditions for a given sequence of positive integers d1, d2, . . . , dn to be the degree sequence of a non–separable graph or that of a connected graph. Our goal in this note is to utilize these results to prove closed formulas for the functions dns(2m) and dc(2m), the number of degree sequences with degree sum 2m representable by non–separa...

This note deals with two-mechanism models (= 2M models). 2M models (or, generally, multimechanism models) are a useful tool for modelling of complex material behavior. They have been studied and applied for the last twenty years. This note is focused on the modelling of 2M models in continuum-mechanical framework mainly in the case of plastic behaviour. In particular, some classes of 2M models ...

The major histocompatibility complex class I (MHC1) molecule plays a crucial role in cytotoxic lymphocyte function. beta 2-Microglobulin (beta 2m) has been demonstrated to be both a structural component of the MHC1 complex and a chaperone-like molecule for MHC1 folding. beta 2m binding to an isolated alpha 3 domain of MHC1 heavy chain at micromolar concentrations has been shown to accurately mo...

The presence and location of receptors for aggregated human beta 2-microglobulin (beta 2m) on the surface of group A, C, and G streptococci were studied by electron microscopic techniques. Ferritin-conjugated aggregates of human beta 2m were used in direct binding experiments. Ferritin-conjugated antibodies against beta 2m were employed in a two-step indirect binding assay where the streptococc...