If we add the well-known fact that any subset N of the Cantor set C homeomorphic to the irrationals is never Fσ, we have given all the reasons why the pair (C, N) is called the Hurewicz test for Fσ sets. Since the work of Hurewicz Theorem 1 has been strengthened in many successive steps. We will discuss this in the next section. Before doing this we recall some basic definitions in descriptive ...

We investigate the electromagnetic fields in the vacuum exterior of a rotating relativistic star endowed with a magnetic dipole moment, and with the stellar surface behaving as a perfect conductor. While the stellar rotation is treated in the slow-approximation of general relativity, we do not restrict our attention to slowly rotating electromagnetic fields, and take our analysis beyond the low...

For the physical aspects of deformation quantization we refer to the expository and survey papers [4] and [10]. Our objective is to initiate a version of global theory of quantization deformation in the category of complex analytic spaces in the same lines as the theory of (commutative) deformation. The goal of inifinitesimal theory is to do few steps towards construction of a star-product in t...

For functions belonging to invariant subspaces of the backward shift operator Bf = (f f(0))/z on spaces of analytic functions on the unit disk D, we explore, in a systematic way, the continuation properties of these functions.

Background in music theory/analysis. Musical analysis focuses primarily on aspects of compositional design, mathematical/formal relations between musical materials or on musical theoretic forms and functions that have been established as musicologically pertinent through the centuries (e.g., traditional harmonic analysis, Schenkerian analysis). Listeners’ perception is not usually the explicit ...

The present experiment examined the degree to which analytic and holistic modes of processing play a role in the way children and adults categorize upright and inverted faces. Seven-year-old children (n = 38), 10-year-old children (n = 40), and adults (n = 55) were instructed to classify upright and inverted faces into two categories. The construction of the categories allowed participants to c...

Introduction An ecological metaphor is often used in discussing the interrelated and interdependent organization of software development environments. We believe that this is a rich and potentially useful way of describing complex systems of people and technologies that are involved in developing, using, sustaining and archiving software. Further, an appropriate metaphor can be a useful analyti...

The combination of Data warehousing and data analysis techniques such as OLAP (Online Analytic Processing) and data mining through the Hadoop framework is an innovative way to treat large volumes of data. However, this way poses serious scheduling and combining tasks issues that bring more challenges. In this paper, we propose strategies to answer these questions, namely parallel OLAM (Online A...