Although the segmental properties of Kyungsang Korean have been known to be distinct from those of standard Seoul Korean, the increased influence of Seoul Korean on the regional variety casts doubt on the homogeneity of the dialect. The current study investigated whether the acoustic properties of the vowels and fricatives in Kyungsang Korean are retained by both younger and older generations t...

Schur polynomials are special cases of Schubert polynomials, which in turn dual characters flagged Weyl modules. The principal specialization and has a long history, with Macdonald famously expressing the any polynomial terms reduced words. We prove lower bound on Our result yields an alternative proof conjecture Stanley about originally proved by Weigandt.

In this article we study the arcwise connected component in the Pontryagin dual of an abelian topological group. It is clear that the set of continuous characters that can be lifted over the reals is contained in the arcwise connected component of the dual group. We show that the converse is true if all arcs in the character group are equicontinuous sets. This property is present in Pontryagin ...

In the first part of this paper the theory of differential characters is developed completely from a de Rham Federer viewpoint. Characters are defined as equivalence classes of special currents, called sparks, which appear naturally in the theory of singular connections. As in de Rham Federer cohomology, there are many different spaces of currents which yield the character groups. The fundament...

This thesis explores the pervasive role of commerce in Shakespeare’s comedy The Merchant of Venice, with a particular focus on the characters of Antonio, Bassanio, Shylock, and Portia, and the dual locales of Venice and Belmont. The way in which various characters engage in commerce is a reflection of their individual motives and affiliations. At the same time, the rhetoric of commerce, worth, ...

Abstract It is known that irreducible cuspidal characters satisfy the preservation principle in Howe correspondences of finite reductive dual pairs. In this article, we generalize to any classical groups.

is again a Dirichlet character modulo n. In fact, the set of Dirichlet characters modulo n is again a multiplicative group, called the dual group of (Z/nZ)× and denoted ̂ (Z/nZ)×. The identity element of the dual group, mapping every element of (Z/nZ)× to 1, is the trivial character modulo n, denoted 1n or just 1 when n is clear, Since (Z/nZ)× is a finite group the values taken by any Dirichlet ...