In this paper, a class of generalized general mixed quasi variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for the generalized general mixed quasi variational inequalities, suggest a predictor-corrector method for solving the generalized general mixed quasi variational inequalities by using the auxiliary principle technique. If ...

This paper develops a new approach to the analysis of the underlying power structure when social preferences are allowed to be incomplete. We propose the concept of quasi-decisiveness, which is weaker than standard decisiveness, and investigate the family of quasi-decisive groups associated an Arrovian collective choice rule. A group is quasi-decisive if for every pair x, y of alternatives, y i...

Axioms of Lie algebroid are discussed. In particular, it is shown that a Lie quasi-algebroid (i.e. a Lie algebra bracket on the C∞(M)-module E of sections of a vector bundle E over a manifold M which satisfies [X, fY ] = f [X, Y ] + A(X,f)Y for all X, Y ∈ E , f ∈ C∞(M), and for certain A(X,f) ∈ C∞(M)) is a Lie algebroid if rank(E) > 1, and is a local Lie algebra in the sense of Kirillov if E is...

Quasi-invariant measures with values in non-Archimedean fields on a group of diffeomorphisms were constructed for non-Archimedean manifolds M in [Lud96, Lud99t]. On non-Archimedean loop groups and semigroups they were provided in [Lud98s, Lud00a, Lud02b]. A Banach space over a local field also serves as the additive group and quasi-invariant measures on it were studied in [Lud03s2, Lud96c]. Thi...

Let A(n) be a k × s matrix and m(n) be a k dimensional vector, where all entries of A(n) and m(n) are integer-valued polynomials in n. Suppose that t(m(n)|A(n)) = #{x ∈ Z + | A(n)x = m(n)} is finite for each n ∈ N, where Z+ is the set of nonnegative integers. This paper conjectures that t(m(n)|A(n)) is an integer-valued quasi-polynomial in n for n sufficiently large and verifies the conjecture ...

The stability number α(G) of a graph G is the size of a maximum stable set of G, core(G) = ∩{S : S is a maximum stable in G}, and ξ(G) = |core(G)|. In this paper we prove that for a graph G without isolated vertices, the following assertions are true: (i) if ξ(G) ≤ 1, then G is quasi-regularizable; (ii) if G is of order n and α(G) > (n + k − 1)/2, for some k ≥ 1, then ξ(G) ≥ k + 1, and ξ(G) ≥ k...

We present a set of new characteristic frequencies associated with accretion disks around compact objects. These frequencies arise from persistent rotating patterns in the disk that are finite in radial extent and driven purely by the gravity of the central body. Their existence depends on general relativistic corrections to orbital motion and, if observed, could be used to probe the strong gra...

We obtain the further properties of quasi Mcontinuous functions which were introduced and investigated in order to establish the unified theory for several variations of quasi-continuity between bitopological spaces.

Given a learning sample, we focus on the hardness of finding monomials having low error, inside the interval bounded below by the smallest error achieved by a monomial (the best rule), and bounded above by the error of the default class (the poorest rule). It is well-known that when its lower bound is zero, it is an easy task to find, in linear time, a monomial with zero error. What we prove is...

The structure of the Wadge degrees on zero-dimensional spaces is very simple (almost well-ordered), but for many other natural non-zerodimensional spaces (including the space of reals) this structure is much more complicated. We consider weaker notions of reducibility, including the so-called ∆ 0 α-reductions, and try to find for various natural topological spaces X the least ordinal αX such th...