Contents 1. Introduction 2. The classical model 3. Existence of equilibrium 3.1 Equilibrium and quasi-equilibrium of abstract economies 3.2 Application to quasi-equilibrium existence for private ownership economies 3.3 From quasi-equilibrium to equilibrium 4. Optimality properties of equilibrium 4.1 Optimality, core and limit-core concepts 4.2 Non-emptiness results 4.3 Price-decentralization re...

We evaluate quasi-classically the Ramond partition function of Euclidean D = 10 U(N) super-Yang{Mills theory reduced to a two-dimensional torus. The result can be interpreted in terms of free strings wrapping the space-time torus, as expected from the point of view of Matrix string theory. We demonstrate that, when extrapolated to the ultraviolet limit (small area of the torus), the quasi-class...

In this paper we investigate the structure of quasi-BCH codes. In the first part of this paper we show that quasi-BCH codes can be derived from Reed-Solomon codes over square matrices extending the known relation about classical BCH and Reed-Solomon codes. This allows us to adapt the Welch-Berlekamp algorithm to quasi-BCH codes. In the second part of this paper we show that quasi-BCH codes can ...

We study interpolation, generated by an abstract method of means, of bilinear operators between quasi-Banach spaces. It is shown that under suitable conditions on the type of these spaces and the boundedness of the classical convolution operator between the corresponding quasi-Banach sequence spaces, bilinear interpolation is possible. Applications to the classical real method spaces, Calderón-...

This moduli space is Mh = Γ \Dh where Dh = GR/V is a homogeneous complex manifold on which Γ acts properly discountinuously. In the classical case n = 1 (polarized abelian varieties) or n = 2, h = 1, D is a bounded symmetric domain and Γ \D is a quasi-projective variety defined over a number field. In the non-classical case the situation is quite different. Given a smooth projective family X π ...

The original definition of a topological space given by Hausdorff used neighborhood systems. Lattice-valued maps appear in this context when you identify a topology with a monoid in the Kleisli category of the filter monad on SET. H?hle’s notion of a lattice-valued topology [2] uses the same idea and it’s inspired in the classical lattice-valued topologies. Ltopological spaces are motivated by ...

The aim of this paper is to characterize in terms of classical (quasi)convexity of extended real-valued functions the set-valued maps which are K-(quasi)convex with respect to a convex cone K. In particular, we recover some known characterizations of K-(quasi)convex vector-valued functions, given by means of the polar cone of K.

We describe a fast, PC-based optimization planning system for a planar permanent-seed implant. Sites where this system is applicable include brain, lung, and head and neck. The system described here allows placing ribbons of different strengths and of different lengths along and across the implant plane. The program takes full advantage of the availability of different source strengths in inven...

It was proved by Montaner and Zelmanov that up to classical twisting Lie bialgebra structures on g[u] fall into four classes. Here g is a simple complex finite-dimensional Lie algebra. It turns out that classical twists within one of these four classes are in a one-to-one correspondence with the so-called quasi-trigonometric solutions of the classical Yang-Baxter equation. In this paper we give...