The Width and Integer Optimization on Simplices With Bounded Minors of the Constraint Matrices

In this paper, we will show that the width of simplices defined by systems of linear inequalities can be computed in polynomial time if some minors of their constraint matrices are bounded. Additionally, we present some quasi-polynomial-time and polynomial-time algorithms to solve the integer linear optimization problem defined on simplices minus all their integer vertices assuming that some minors of the constraint matrices of the simplices are bounded.Comment: 12 page

Hamiltonian structures of fermionic two-dimensional Toda lattice hierarchies

By exhibiting the corresponding Lax pair representations we propose a wide class of integrable two-dimensional (2D) fermionic Toda lattice (TL) hierarchies which includes the 2D N=(2|2) and N=(0|2) supersymmetric TL hierarchies as particular cases. We develop the generalized graded R-matrix formalism using the generalized graded bracket on the space of graded operators with involution generalizing the graded commutator in superalgebras, which allows one to describe these hierarchies in the framework of the Hamiltonian formalism and construct their first two Hamiltonian structures. The first Hamiltonian structure is obtained for both bosonic and fermionic Lax operators while the second Hamiltonian structure is established for bosonic Lax operators only.Comment: 12 pages, LaTeX, the talks delivered at the International Workshop on Classical and Quantum Integrable Systems (Dubna, January 24 - 28, 2005) and International Conference on Theoretical Physics (Moscow, April 11 - 16, 2005

The evaluation of the antioxidant enzyme’s activity and activity of anaerobic glycolysis’ enzymes under gradual temperature increase in Baikal amphipod species Eulimnogammаrus marituji, E. maackii and Gmelinoides fasciatus

The aim of present study was the evaluation of the antioxidant enzyme’s activity and activity of anaerobic glycolysis enzymes under gradual temperature increase in Baikal amphipods species Eulimnogammarus marituji (Baz., 1945), E. maackii (Gerstf, 1858) and Gmelinoides fasciatus (Stebb., 1899). In all species under gradual temperature increase exposition elevation of peroxidase’ activity was observed. Activities of catalase’, glutathione S – transferase’ and lactate dehydrogenase’ activity in E. marituji andE. maacki were differed from G. fasciatus. It was proposed that changes in the antioxidant enzyme’s activity and activity of anaerobic glycolysis enzymes in Baikal amphipods may contribute to increasing of glycolytic processes functional efficiency and keeping of energetic homeostasis in endemic organisms

Hadronic structure aspects of K+→π−+l1++l2+K^+\to \pi^-+ l^{+}_1 + l^{+}_2 decays

As is known from previous studies the lepton number violating decays $K^+\to \pi^- + l^{+}_1 + l^{+}_2$ have good prospects to probe new physics beyond the Standard Model and provide valuable information on neutrino masses and mixing. We analyze these processes with an emphasis on their hadronic structure aspects applying relativistic constituent quark model. We conclude that the previously ignored contribution associated with the t-channel Majorana neutrino exchange is comparable with the s-channel one in a wide range of neutrino masses. We also estimated model independent absolute upper bounds on neutrino contribution to these decays.Comment: 15 pages, 1 figure. Version to appear in PRD, normalization factor in Eq. (25) is correcte

Nonlinear Realizations of the W3(2)W_3^{(2)} Algebra

In this letter we consider the nonlinear realizations of the classical Polyakov's algebra $W_3^{(2)}$. The coset space method and the covariant reduction procedure allow us to deduce the Boussinesq equation with interchanged space and evolution coordinates. By adding one more space coordinate and introducing two copies of the $W_3^{(2)}$ algebra, the same method yields the $sl(3,R)$ Toda lattice equations.Comment: LaTeX, 10p., Preprint LNF-94/013 (P