On computational aspects of discrete Sobolev inner products on the unit circle

In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete component involving derivatives is located outside the closed unit disk. As a consequence, we deduce the outer relative asymptotics of these polynomials in terms of those associated with the original orthogonality measure. Moreover, we show how to recover the discrete part of our Sobolev inner product. © 2013 Elsevier Inc. All rights reserved.

América Latina y el Programa de Acción de Viena: ciencia y tecnología para el desarrollo en los años ochenta = Latin America and the Vienna Programme of Action: science and technology for development in the 1980s

Incluye Bibliografía

A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Basic hypergeometric polynomials with zeros on the unit circle

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Sieved para-orthogonal polynomials on the unit circle

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

COINCIDENCES OF FIBREWISE MAPS BETWEEN SPHERE BUNDLES OVER THE CIRCLE

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Signs, translation, and life in the Bakhtin circle and in Welby's significs

“Significs” is provisionally defined by Welby (1911: vii) as the study of the nature of significance in all its forms and relationships, of its workings in all spheres of human life and knowledge. Considering “significs” as a movement highlighting significance, Welby explores the action of signs in life; and more than the Saussurean sign composed of signifier and signified, the sign as understood by Welby refers to meaning as generated through signs in motion. This notion of “significs” empowers the study of signs when it considers the sign not in terms of the Saussurean structural representation of the union of the concept and acoustic image, but as (responsive and responsible) sign action in the world, in life. This also means to take into account the “extra-linguistic referent” (translinguistic and transdiscursive character of significs), history (space-time), subjectivity, the architecture of values connected to language, their communicative function. We believe that a dialogue can be established between Welby’s vision of significs and the notion of ideological sign proposed by Vološinov in Marxism and the Philosophy of Language, expanding the notions of “meaning” and “sense.”

Quantum Discord for d circle times 2 Systems

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]

We consider some of the relations that exist between real Szegö polynomials and certain para-orthogonal polynomials defined on the unit circle, which are again related to certain orthogonal polynomials on [-1, 1] through the transformation x = (z1/2+z1/2)/2. Using these relations we study the interpolatory quadrature rule based on the zeros of polynomials which are linear combinations of the orthogonal polynomials on [-1, 1]. In the case of any symmetric quadrature rule on [-1, 1], its associated quadrature rule on the unit circle is also given.

New fermions and a vectorlike third generation in SU(3)(C)circle times SU(3)(L)circle times U(1)(N) models

We study two 3-3-1 models with (i) five (four) charge 2/3 (-1/3) quarks and (ii) four (five) charge 2/3 (-1/3) quarks and a vectorlike third generation. Possibilities beyond these models are also briefly considered.

Book Review of "Will the Circle Be Unbroken?": Aboriginal Communities, Restorative Justice, and the Challenges of Conflict and Change by Jane Dickson-Gilmore and Carol La Prairie

Over the past decade or two, restorative justice has become a popular approach for the criminal justice system to take in Canada, New Zealand, and Australia. In part, this is due in all three countries to an appalling disproportionality in the incarceration rates for racialized minorities. As the authors of "Will the Circle Be Unbroken?" point out, however, governments have been attracted to restorative justice for cost-cutting reasons as well. A burning question, therefore, is whether restorative justice works.

Rigidity for piecewise smooth homeomorphisms on the circle

We find conditions for two piecewise 'C POT.2+V' homeomorphisms f and g of the circle to be 'C POT.1' conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean-nonlinearity for f and g.

A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter

[EN]Often some interesting or simply curious points are left out when developing a theory. It seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of isoperimetric inequalities. In this paper such a bound is constructed and shown to be attained for a particular area. It is also shown that convexity is a necessary condition in order to avoid the whole area lying outside the circle

Paediatrics in Vienna

The aim of this article is to describe the paediatric highlights from the 2009 European Respiratory Society Annual Congress in Vienna, Austria. The best abstracts from the seven groups of the Paediatric Assembly (asthma and allergy, respiratory epidemiology, cystic fibrosis, respiratory physiology, respiratory infections and immunology, neonatology and paediatric intensive care, and bronchology) are presented alongside findings from the current literature.

Thaumatrope (Magic Circle)

The thaumatrope consists of a circle of cardstock, 2.5 inches in diameter with 2 strings attached, one each at opposite points of the diameter. There were 2 images painted on the cardstock, one on each side, with their positions inverted. The outline of the image was usually printed and the color hand-painted in (Barnes 7).