An irreducible ordinary character of a finite reductive group is called quadratic unipotent if it corresponds under Jordan decomposition to a semisimple element s in a dual group such that s = 1. We prove that there is a bijection between, on the one hand the set of quadratic unipotent characters of GL(n, q) or U(n, q) for all n ≥ 0 and on the other hand, the set of quadratic unipotent characte...

This paper presents a new regular expression matching method by using Dual Glushkov NFA. Dual Glushkov NFA is the variant of Glushkov NFA, and it has the strong property that all the outgoing edges to a state of it have the same labels. We propose the new matching method Look Ahead Matching that suited to Dual Glushkov NFA structure. This method executes NFA simulation with reading two input ch...

We suggest that the (2,0) six dimensional field theory compactified on S × K3 is the Matrix model description of both M-theory on K3 and the Heterotic string on T . This proposal is different from existing proposals for the Heterotic theory. Different limits of the base space geometry give the different space-time interpretations, making Mtheory/Heterotic duality manifest. We also present parti...

We used a dual-task paradigm to investigate the spatial allocation of attention during smooth pursuit. Subjects tracked one character in a translating string of characters (block letter 8's), and during maintained pursuit, one of the characters briefly changed to an E or 3. Based on the ability of subjects to correctly discriminate the probed character, we found that the primary focus of attent...

We obtain explicit formulas for the product of a deformed Weyl denominator with the character of an irreducible representation of the spin group Spin2r+1(C), which is an analogue of the formulas of Tokuyama for Schur polynomials and Hamel-King for characters of symplectic groups. To give these, we start with a symplectic group and obtain such characters using the Casselman-Shalika formula. We t...

Let P = (pk) be a bounded positive sequence and let A= (ank) be an infinite matrix with all ank ≥ 0. For normed spaces E and Ek, the matrix A generates the paranormed sequence spaces [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P]((E)), which generalise almost all the well-known sequence spaces such as c0, c, lp , l∞, and wp . In this paper, topological duals of these paranormed sequence spaces are const...

The present paper is concerned with the concept of the dual matrix sequences of the new sort which is introduced by Altay and Başar [2], for the ordinary summability methods. Thus, some classes of matrix sequences have been characterized as an application of the dual matrix sequences of the new sort. The last section of the paper is devoted to the inclusion theorems related to the original and ...

Statistical consistency in phylogenetics has traditionally referred to the accuracy of estimating phylogenetic parameters for a fixed number of species as we increase the number of characters. However, it is also useful to consider a dual type of statistical consistency where we increase the number of species, rather than characters. This raises some basic questions: what can we learn about the...