An explicit construction of a geodesic flow-invariant distribution lying in the discrete series of weight 2k isotopic component is found, using techniques from representation theory of SL2(R). It is found that the distribution represents an AC measure on the unit tangent bundle of the hyperbolic plane minus an explicit singular set. Finally, via an averaging argument, a geodesic flow-invariant ...

To investigate whether argument mapping, with a use of RationaleTM software, cultivates students’ critical thinking skills, an experimental research was designed and implemented in Cyprus’ primary schools. Thirty 6 th grade primary classes participated in the research for a period of nine months. Three groups of ten classes each were formed, of which two were the experimental groups and the thi...

INTRODUCTION Neuroimaging and lesion studies indicate a left hemisphere network for verb and verb argument structure processing, involving both frontal and temporoparietal brain regions. Although their verb comprehension is generally unimpaired, it is well known that individuals with agrammatic aphasia often present with verb production deficits, characterized by an argument structure complexit...

Two things are striking about this medieval definition. The first is that it is very close to the modern conception of formal consequence one finds in Bolzano and Tarski3. The second is that although Buridan and the other fourteenth-century logicians state these distinctions with a great deal of precision, they say almost nothing about the point of the distinctions. Why are these distinctions d...

We define the pull-back of a smooth principal fibre bundle, and show that it has a natural principal fibre bundle structure. Next, we analyse the relationship between pull-backs by homotopy equivalent maps. The main result of this article is to show that for a principal fibre bundle over a paracompact manifold, there is a principal fibre bundle isomorphism between pull-backs obtained from homot...

This paper develops a probabilistic reconstruction of the No Miracles Argument (NMA) in the debate between scientific realists and anti-realists. The goal of the paper is to clarify and to sharpen the NMA by means of a probabilistic formalization. In particular, I demonstrate that the persuasive force of the NMA depends on the particular disciplinary context where it is applied, and the stabili...

This paper introduces AIFdb Corpora, an addition to AIFdb for collecting and presenting sets of AIF argument maps. AIFdb Corpora allows any user to create a corpus and share the contents.

Two transformations between the complex space and 2dimensional Euclidean topological space are defined. By them, the concept of argument is induced to 2-dimensional vectors using argument of complex number. Similarly, the concept of an angle is introduced using the angle of two complex numbers. The concept of a triangle and related concepts are also defined in n-dimensional Euclidean topologica...

Credence products are those whose quality is difficult or impossible for consumers to assess, even after consuming the product (Darby & Karni, 1973). For example, it is difficult to assess the technical skill and knowledge of a physician even after a visit. This research is focused on the content, structure and consumer perceptions of online reviews for credence services. We start by examining ...