Using subvarieties, which we call Demazure quiver varieties, of the quiver varieties of Nakajima, we give a geometric realization of Demazure modules of Kac-Moody algebras with symmetric Cartan data. We give a natural geometric characterization of the extremal weights of a representation and show that Lusztig's semicanonical basis is compatible with the filtration of a representation by Demazur...

Melts of symmetric three-arm stars are generated using a novel iterative method. In this method, an equilibrated lowmolecular weight configuration is used to generate progressively higher molecular weights by affine scaling and equilibration. At each stage in the progression, the synthetically lowered entanglement density allows bypassing of the exponentially large relaxation times of branched ...

A method is presented which optimizes weights of general planar 1D and 2D symmetric full and sparse arrays. The objective is to nd a weighting of the array elements which gives the minimum sidelobe level of the array pattern in a speci ed region the stopband. The sidelobe level is controlled on a discrete set of points from this region. The method minimizes the Chebyshev norm of the sidelobe le...

We present an algorithm that on input of an n×n symmetric diagonally dominant matrix A with m non-zero entries constructs in time Õ(m log n) a solver which on input of a vector b computes a vector x satisfying ||x−Ab||A < �||Ab||A in time Õ(m log n log(1/�)) 1. The new algorithm exploits previously unknown structural properties of the output of the incremental sparsification algorithm given in ...

In this paper, we consider the node-restricted minmax regret 1-median problem on a tree network where node weights are deterministic and edge lengths are subject to uncertainty with unknown symmetric distribution. There have been proposed some complicated and time-consuming algorithms to obtain robust solutions for robust 1-median problem. We formulate the robust regret function as a mixed inte...

Let X35 be a Siegel cusp form of degree 2 and weight 35. Kikuta, Kodama and Nagaoka [4] proved that det T a(T, X35) ≡ 0 mod 23 for every half integral positive symmetric matrix T . In this paper, we give a finite number of examples of Hecke eigenforms of degree 2 and odd weights that have the same type of congruence relation above. We also introduce congruence relations for the Hecke eigenvalue...

Mercure is an information retrieval system based on a connexionist approach and modeled by a multi-layer network. The network is composed of a query layer (set of query terms), of a term layer (representing the indexing terms) and of a document layer [Bougha 99]. Mercure includes the implementation of retrieval process based on spreading activation forward and backward through the weighted link...

The prediction of bankruptcy is of significant importance with the present-day increase of bankrupt companies. In the practical applications, the cost of misclassification is worthy of consideration in the modeling in order to make accurate and desirable decisions. An effective prediction system requires the integration of the cost preference into the construction and optimization of prediction...

Introduction. The hypersurfaces in weighted projective spaces often appear as important examples in the context of mirror symmetry. In this paper, we describe the relation between polar duality and duality of weight systems. The duality of weights partly suggests why [CLS] produced a mirror symmetric phenomena using only a resolution of weighted hypersurface in weighted P. In fact, recently it ...

This paper describes a new straightforward technique for lossless image compression, entitled SPM (Simple Prediction Method), which results in compression ratios similar to those achieved by the most powerful techniques described in the literature. The predictive model used by the method is one in which the current point is predicted as a weighted average of the preceding neighbouring points. T...