233 research outputs found
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 decays
As is known from previous studies the lepton number violating decays 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 Algebra
In this letter we consider the nonlinear realizations of the classical
Polyakov's algebra . 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 algebra, the same
method yields the Toda lattice equations.Comment: LaTeX, 10p., Preprint LNF-94/013 (P
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