Linear codes may be endowed with cyclic structures by means of skew polynomial rings. This is the case of Piret cyclic convolutional codes [26] and the subsequent generalizations and alternatives (see [27], [14], [11], [25], [16], [20]). Non commutative cyclic structures of this kind have been also considered for block linear codes ([7], [5], [4], [12], [1]), and for linear codes over commutati...

Zusammenfassung In der Kommissionierung werden anstelle von Papierlisten (Pick-by-Paper) zunehmend digitale Assistenzsysteme (AS) eingesetzt. Hierzu gehören vernetzte Armbanduhren zur Weitergabe Auftragsdaten an das Personal während es sich im Lager bewegt, um Produkte zu entnehmen (Pick-by-Watch [PbW]). Bislang hat die Forschung auf ergonomische und technische Gestaltung PbW-Systemen sowie ihr...

Let T = [0, 1) be the additive group of real numbers modulo 1, α ∈ T be an irrational number and t ∈ T. We consider skew product extensions of irrational rotations by Z 2 determined by T : T × Z 2 → T × Z 2 T (x, s 1 , s 2) = " x + α, s 1 + 2χ [0, 1 2) (x) − 1, s 2 + 2χ [0, 1 2) (x + t) − 1 «. We study ergodic components of such extensions and use the results to display irregularities in the un...

Abstract In order to select for image thresholding an optimal threshold that is relatively robust to the presence of skew or heavy-tailed class-conditional distributions, we propose in this paper two median-based approaches: one is an extension of Otsu’s method, and the other is an extension of Kittler and Illingworth’s minimum error thresholding. The two extensions preserve the methodological ...

The Intolerance of Uncertainty Model (IUM) of Generalized Anxiety Disorder (GAD) attributes a key role to Intolerance of Uncertainty (IU), and additional roles to Positive Beliefs about Worry (PBW), Negative Problem Orientation (NPO), and Cognitive Avoidance (CA), in the development and maintenance of worry, the core feature of GAD. Despite the role of the IUM components in worry and GAD has be...

INTRODUCTION Most astronauts experiencing prolonged microgravity undergo accelerated bone loss at a whole-body rate of 0.5-1% per month, with some load-bearing bones losing mass at normalized rates up to about 2.6% per month. The accompanying release of lead (Pb) stored in bones would increase the concentration of Pb in the blood (PbB), thereby complicating efforts to set acceptable Pb concentr...

The theory of PBW properties of quadratic algebras, to which this paper aims to be a modest contribution, originates from the pioneering work of Drinfeld (see [Dr1]). In particular, as we learned after publication of [EG] (to the embarrassment of two of us!), symplectic reflection algebras, as well as PBW theorems for them, were discovered by Drinfeld in the classical paper [Dr2] 15 years befor...

Proton beam writing (PBW) is a new direct-write technique developed at Centre for Ion Beam Applications, National University of Singapore for creating three-dimensional, high aspect ratio microand nano-structures with straight and smooth sidewalls in resits, polymers, glasses, and other materials. Here we present some results of our initial efforts on the direct writing of photonic structures i...

Given a finite group [Formula: see text], we study certain regular subgroups of the permutations which occur in classification theories two types algebraic objects: skew left braces with multiplicative isomorphic to text] and Hopf–Galois structures admitted by Galois extension fields text]. We questions when such yield or involving Hopf algebras. In particular, show that some cases isomorphism ...