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A NOTE ON STRONGLY SEPARABLE ALGEBRAS
Separable algebras invariants coinvariants coalgebras Hopf algebras
2015/8/14
Let A be an algebra over a field k. If M is an A–bimodule, we let
MA and MA denote respectively the k–spaces of invariants and coinvariants of
M, and 'M : MA
! MA be the natural map. In this note w...
Robust efficient frontier analysis with a separable uncertainty model
The mean - variance model effective portfolio construction model parameters return on assets uncertainty analysis and numerical examples
2015/8/10
Mean-variance (MV) analysis is often sensitive to model mis-specification or uncertainty, meaning that the MV efficient portfolios constructed with an estimate of the model parameters (i.e., the expec...
Bounding duality gap for problems with separable objective
Convex function linear inequalities functions random algorithm terms
2015/8/7
We consider the problem of minimizing a sum of non-convex functions over a compact domain, subject to linear inequality and equality constraints. We consider approximate solutions obtained by solving ...
Third-order superintegrable systems separable in parabolic coordinates
Integrability Superintegrability Separation of Variables Classical and Quantum Mechanics
2012/4/23
In this paper, we investigate superintegrable systems which separate in parabolic coordinates and admit a third-order integral of motion. We give the corresponding determining equations and show that ...
Existence of complete Lyapunov functions for semiflows on separable metric spaces
Lyapunov functions Semiflows Separable metric space
2011/9/23
Abstract: The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map. As a byproduct we assure the exis...
Relativistic separable interaction kernel of the neutron-proton system with inelasticities
neutron-proton system Relativistic separable interaction
2011/7/20
Within a covariant Bethe-Salpeter approach, the relativistic complex separable neutron-proton interaction kernel is proposed. The uncoupled partial-wave states with the total angular momentum $J$=0,1 ...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
Bound states of PT-symmetric separable potentials
PT-symmetric separable potentials High Energy Physics - Theory
2011/9/30
Abstract: All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$...
Systems of Kowalevski type, discriminantly separable polynomials and quad-graphs
Systems of Kowalevski type discriminantly separable polynomials quad-graphs
2011/7/27
Systems of Kowalevski type, discriminantly separable polynomials and quad-graphs.
Hereditarily indecomposable, separable L_\infty spaces with \ell_1 dual having few operators, but not very few operators
Hereditarily indecomposable math
2010/11/24
Given a natural number $k \geq 2$, we construct a hereditarily indecomposable, $\mathscr{L}_{\infty}$ space, $X_k$ with dual isomorphic to $\ell_1$. We exhibit a non-compact, strictly singular operato...
Efimov Trimers : Analytic Solution Via Separable Potentials
Efimov states separable potentials dimer resonances
2011/1/7
The exact dynamical equation for Efimov trimers in the short range limit of dimer resonances is derived via Yamaguchi separable potentials. This equation which overcomes the non-uniqueness prob-lem of...
Regularization of the spectral problem for the monolayer graphene with the separable in the angular momentum representation singular potential of defect
Regularization of the spectral problem separable
2010/11/18
The electronic states in the monolayer graphene with the short-range perturbation asymmetric
with respect to the band index are analized. The study was made for the separable in the angular momentum ...
The Weak Bruhat Order and Separable Permutations
Weak Bruhat Order Separable Permutations
2010/12/14
In this paper we consider the rank generating function of a separable permutation in the weak Bruhat order on the two intervals [id, ] and [,w0],where w0 = n, (n−1), . . . , 1. We show a sur...
Transforming an error-tolerant separable matrix to an error-tolerant disjunct matrix
Error-tolerant Separable matrices Disjunct matrices
2012/11/30
Recently, Chen and Hwang [H.B. Chen, F.K. Hwang, Exploring the missing link among d- separable, d-separable and d-disjunct matrices, Discrete Applied Mathematics 133 (2007) 662664] provided a method ...
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems
Integer programming separable concave programming
2010/9/15
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems is proposed, in which the lower bound of the optimal value was determined by solving linear programmi...