INTRODUCTION: DESIGN METHOD Our work focuses on the design of visualization and interaction techniques for large information spaces. Our design approach is based on a conceptual study of users and their tasks [4]. To face the diversity of users and tasks we adopt an interaction-centered approach and focus on navigation tasks. Based on the characteristics of navigation, we develop ergonomic crit...

This paper introduces a class of parabolic subgroups of real reductive groups (called “very nice”). For these parabolic subgroups we study the generalized Whittaker vectors for their degenerate principal series. It is shown that there is a holomorphic continuation of the Jacquet integrals associated with generic characters of their unipotent radicals. Also, in this context an analogue of the “m...

In a world in which the intellect has become synonymous with reason and intuition with a “biological” sixth sense concerned with foretelling future events, it becomes difficult to understand what intellect and intuition, these two key faculties upon which knowledge is based, can mean in the context of Islamic thought. To understand the meaning of these terms in the traditional Islamic universe ...

In the present paper, the existence and multiplicity problems of extensions are addressed. The focus is on extension of the stable type. The main result of the paper is an elegant characterization of the existence and multiplicity of extensions in terms of the notion of dialectical justification, a close cousin of the notion of admissibility. The characterization is given in the context of the ...

Hilbert and Husserl presented axiomatic arithmetic theories in different ways and proposed two different notions of “completeness” for arithmetic, at the turning of the 20th Century (1900– 1901). The former led to the completion axiom, the latter completion of rewriting. We look into the latter in comparison with the former. The key notion to understand the latter is the notion of definite mult...

Over the past twenty years, wavelets have gained popularity as bases for transforms used in image and signal processing. We begin by showing how wavelets arise naturally in this context. Classical construction techniques using Fourier analysis are then presented. The paper concludes with recent extensions of these techniques employing the tools of abstract harmonic analysis and spectral multipl...

In this paper, we extend the concept of mutually counting sequences discussed in [1] to the case of three sequences of the same length. Specifically, given the positive integer n > 1, we define three sequences, where a(i) is the multiplicity of i in 5, M j) is the multiplicity of j in C, and M &) is the multiplicity of k in ^4. We call the ordered triple (A 9 B 9 C) a cyclic counting trio, and ...