Distribution Functions for Edge Eigenvalues in Orthogonal and Symplectic Ensembles: Painlev\'e Representations

We derive Painlev\'e--type expressions for the distribution of the $m^{th}$ largest eigenvalue in the Gaussian Orthogonal and Symplectic Ensembles in the edge scaling limit. The work of Johnstone and Soshnikov (see [7], [10]) implies the immediate relevance of our formulas for the $m^{th}$ largest eigenvalue of the appropriate Wishart distribution

Differential and complex geometry of two-dimensional noncommutative tori

We analyze in detail projective modules over two-dimensional noncommutative tori and complex structures on these modules.We concentrate our attention on properties of holomorphic vectors in these modules; the theory of these vectors generalizes the theory of theta-functions. The paper is self-contained; it can be used also as an introduction to the theory of noncommutative spaces with simplest space of this kind thoroughly analyzed as a basic example.Comment: final draf

Looking Good, Feeling Good – Tac Map: a navigation system for the blind

This paper describes the research and development of a navigation system for the blind that provides a tactile and visual language that can be understood by both sighted and blind users. It describes key work and issues in the development of graphical symbols and in particular the pioneering work of Neurath‟s ISOTYPES, as well as more specific communication systems for blind people. The paper focuses on the development of "TacMap‟, a navigation system for the blind. User engagement has been fundamental in the research and the paper discusses the methodology, the research findings and product‟s potential future opportunities and impact

Application of Random Matrix Theory to Multivariate Statistics

This is an expository account of the edge eigenvalue distributions in random matrix theory and their application in multivariate statistics. The emphasis is on the Painlev\'e representations of these distributions

Developing Poetic Writing Skills: A Teaching Technique for Advanced ESL/EFL Learners

This article attempts to showcase a number of techniques to teach poetic writing skills in EFL settings. First and foremost, we have tried to identify and propose corrective attitudes to work out the psychological obstacles that impede the practice of poetry in many EFL classrooms. Then, we have selected some basic characteristics of poetic discourse through lyric songs to increase learners’ awareness of the specificities of poetry. The mastery of the structure and functioning of figurative language has been the essential skill to develop. Furthermore, the technique privileges the process-oriented approach which is based on well-structured, harmonious and interrelated phases to help learners start composing simple verses and poems