The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomial groups G(r, r, 3) for r > 3 give rise to nice reflection arrangements. As a consequence of this and of the classification of all inductively free reflection arrangements from Hoge and Röhrle (2015) we deduce that th...

Based on formant measurements of more than 10000 vowels from 16 German speakers, vowel quality di erences between the speakers have been analyzed. The main result of this investigation is that di erent speakers show not only di erent formant values (as one would expect due to individual di erences), but exhibit di erent arrangements in their vowel systems. These di erences are demonstrated by e...

Overview This paper proposes to compute the meanings associated to sentences with generic NPs corresponding to the most of generalized quantifier. We call these generics specimens and they resemble stereotypes or prototypes in lexical semantics. The meanings are viewed as logical formulae that can be thereafter interpreted in your favorite models. We rather depart from the dominant Fregean sing...

A classical result of Arnold and Brieskorn [Bk], [Bk2] states that the complement of the discriminant of the versal unfolding of a simple hypersurface singularity is a K(π, 1). Deligne [Dg] showed this result could be placed in the general framework by proving that the complement of an arrangement of reflecting hyperplanes for a Coxeter group is again a K(π, 1) (and more generally for simplicia...

In 1994, Edelman and Reiner characterized free and supersolvable hyperplane arrangements in the restricted interval [An−1, Bn]. In this paper, we give a characterization of inductively factored arrangements in this interval, and show that the same characterization also describes factored arrangements in this interval. These results use the compact notation of signed graphs introduced by Zaslavsky.

Requirement Engineering (RE) activities are manual and critical by nature. Providing some automated support for the RE tasks helps analysts to reduce manual labor, and in consequence, reduce defects rates and increase reuse and motivation. In this paper, we introduce a UML framework and tool support which automates part of the RE process. Using UML stereotypes concepts as the core of this solut...