Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations

MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37

Maximal Number of Successors in a Nginar(1) Process

2000 Mathematics Subject Classification: 60J80, 60J20, 60J10, 60G10, 60G70, 60F99.

Algoritmus-vizualizáció a programozásoktatásban

Ez a cikk bemutatja az algoritmus-vizualizáció elméletét és eddig oktatási vonatkozású eredményeit, majd példát mutat egy jól használható algoritmus-vizualizációs eszközre, végül értékeli azt. A cikk bemutatja továbbá, hogyan lehet felhasználni oktatóként és tanulóként az algoritmus-vizualizációs eszközöket, konkrétan a programozási tételek tanítása és tanulása közben, illetve értékeli a tanulási és tanítási módszert. Két eszközt fog példaként felhozni: a Jeliot-ot és a TRAKLA2-t.

Anarchy In The Airways

In his dialogue - Anarchy In The Airways - Joseph C. Von Kornfeld, Assistant Professor, College of Hotel Administration, University of Nevada, Las Vegas initially states: “Deregulation of the airline industry has brought about financial vulnerability for the traveling public. The author analyzes the situation since that point in time and makes recommendations for some solutions.” In this article, Assistant Professor Von Kornfeld, first defines the airline industry in its pre-regulated form. Then he goes into the ramifications and results of deregulating the industry, both in regards to the consumer, and in deregulation’s impact on the airlines themselves. “The most dramatic consequence of the pressures and turbulence of airline deregulation has been the unprecedented proliferation of airline bankruptcies,” Von Kornfeld informs. “Prior to the deregulation of the U.S. airline industry in 1978, U.S. air carriers operated in a business environment that was insulated from the normal stresses and strains of open competition. They were restricted from actively competing with fares and routings by the Civil Aeronautics Board (CAB),” Von Kornfeld says. In leveling the playing field, Von Kornfeld offers, “Each carrier was restricted to specific geographic routes, with those routes limited to two or three competing carriers. The only thing that set carriers apart in this CAB defined atmosphere was their ability to either advertise, or to enhance their level of service; or both. “…ultimately paid for by the passenger through fare increases sanctioned by the CAB,” Von Kornfeld states. “Airline service standards were unquestionably superior during the regulated environment,” Von Kornfeld renders an interesting observation. He does mention, however, that carrier safety was also considered a concern immediately prior to, and then after deregulation. “The major controversy focused on the allegation that safety and maintenance standards would be compromised due to the financial pressures brought about by an openly competitive environment,” Von Kornfeld says. Pricing, as well as labor unions are important factors in the equation, and Von Kornfeld addresses their relevance in the deregulated environment. “The primary rationalization for deregulation was to facilitate a more openly competitive environment. The increased competition was to ultimately have benefitted the consumer. Ironically, that’s not entirely the case, Von Kornfeld elaborates. In addressing some of the negative aspects of airline deregulation, Von Kornfeld suggests that some sort of federal re-regulation may be in order.

O paradoxo da superdifusão de uma caminhada aleatória com memória exponencial

The random walk models with temporal correlation (i.e. memory) are of interest in the study of anomalous diffusion phenomena. The random walk and its generalizations are of prominent place in the characterization of various physical, chemical and biological phenomena. The temporal correlation is an essential feature in anomalous diffusion models. These temporal long-range correlation models can be called non-Markovian models, otherwise, the short-range time correlation counterparts are Markovian ones. Within this context, we reviewed the existing models with temporal correlation, i.e. entire memory, the elephant walk model, or partial memory, alzheimer walk model and walk model with a gaussian memory with profile. It is noticed that these models shows superdiffusion with a Hurst exponent H > 1/2. We study in this work a superdiffusive random walk model with exponentially decaying memory. This seems to be a self-contradictory statement, since it is well known that random walks with exponentially decaying temporal correlations can be approximated arbitrarily well by Markov processes and that central limit theorems prohibit superdiffusion for Markovian walks with finite variance of step sizes. The solution to the apparent paradox is that the model is genuinely non-Markovian, due to a time-dependent decay constant associated with the exponential behavior. In the end, we discuss ideas for future investigations.

Representation theorems for indefinite quadratic forms and applications

Diese Arbeit widmet sich den Darstellungssätzen für symmetrische indefinite (das heißt nicht-halbbeschränkte) Sesquilinearformen und deren Anwendungen. Insbesondere betrachten wir den Fall, dass der zur Form assoziierte Operator keine Spektrallücke um Null besitzt. Desweiteren untersuchen wir die Beziehung zwischen reduzierenden Graphräumen, Lösungen von Operator-Riccati-Gleichungen und der Block-Diagonalisierung für diagonaldominante Block-Operator-Matrizen. Mit Hilfe der Darstellungssätze wird eine entsprechende Beziehung zwischen Operatoren, die zu indefiniten Formen assoziiert sind, und Form-Riccati-Gleichungen erreicht. In diesem Rahmen wird eine explizite Block-Diagonalisierung und eine Spektralzerlegung für den Stokes Operator sowie eine Darstellung für dessen Kern erreicht. Wir wenden die Darstellungssätze auf durch (grad u, h() grad v) gegebene Formen an, wobei Vorzeichen-indefinite Koeffzienten-Matrizen h() zugelassen sind. Als ein Resultat werden selbstadjungierte indefinite Differentialoperatoren div h() grad mit homogenen Dirichlet oder Neumann Randbedingungen konstruiert. Beispiele solcher Art sind Operatoren die in der Modellierung von optischen Metamaterialien auftauchen und links-indefinite Sturm-Liouville Operatoren.

Beiträge zum studium der randwertaufgaben, von C. Neumann ... Mit 59 figuren im text.

Mode of access: Internet.

Aus der Festungszeit preussischer Kammergerichts- und Regierungsräte auf Spandau, 1780; Tagebuch des Regierungsrates Neumann, geschrieben während der von Friedrich dem Grossen über die Richter im Müller Arnold-Prozess verhängten Festungshaft.

Mode of access: Internet.

Rediscovery of the syntypes of Corydoras meridionalis R. von Ihering, 1911 (Teleostei, Siluriformes, Callichthyidae) and designation of lectotype

Os síntipos de Corydoras meridionalis Rodolpho von Ihering, 1911, tidos como desaparecidos da coleção de peixes do Museu de Zoologia da USP, foram encontrados; os exemplares tinham sido identificados como C. ehrhardti Steindachner, 1910, espécie atualmente considerada sinônimo sênior da primeira. O exame desses sintipos permite confirmar a sinonímia proposta. Dados sobre os síntipos são apresentados e comparados com os dados das descrições originais de C. ehrhardti e C. meridionalis, sendo comentadas as poucas diferenças encontradas entre eles. É designado o lectótipo de C. meridionalis e uma fotografia deste é apresentada.

Escape patterns of chaotic magnetic field lines in a tokamak with reversed magnetic shear and an ergodic limiter

The existence of a reversed magnetic shear in tokamaks improves the plasma confinement through the formation of internal transport barriers that reduce radial particle and heat transport. However, the transport poloidal profile is much influenced by the presence of chaotic magnetic field lines at the plasma edge caused by external perturbations. Contrary to many expectations, it has been observed that such a chaotic region does not uniformize heat and particle deposition on the inner tokamak wall. The deposition is characterized instead by structured patterns called magnetic footprints, here investigated for a nonmonotonic analytical plasma equilibrium perturbed by an ergodic limiter. The magnetic footprints appear due to the underlying mathematical skeleton of chaotic magnetic field lines determined by the manifold tangles. For the investigated edge safety factor ranges, these effects on the wall are associated with the field line stickiness and escape channels due to internal island chains near the flux surfaces. Comparisons between magnetic footprints and escape basins from different equilibrium and ergodic limiter characteristic parameters show that highly concentrated magnetic footprints can be avoided by properly choosing these parameters. (c) 2008 American Institute of Physics.

On the nonlinear Neumann problem with critical and supercritical nonlinearities

We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent. In the first part of this work it is assumed that the coeffcients Q and h are at least continuous. Moreover Q is positive on overline Omega and lambda > 0 is a parameter. We examine the common effect of the mean curvature and the shape of the graphs of the coeffcients Q and h on the existence of low energy solutions. In the second part of this work we consider the same problem with Q replaced by - Q. In this case the problem can be supercritical and the existence results depend on integrability conditions on Q and h.

Clinical and molecular characterization of Brazilian families with von Hippel-Lindau disease: a need for delineating genotype-phenotype correlation

von Hippel-Lindau (VHL) disease is an autosomal dominant hereditary cancer syndrome that predisposes to the development of a variety of benign and malignant tumours, especially cerebellar haemangioblastomas, retinal angiomas and clear-cell renal cell carcinomas (RCC). The etiology and manifestations are due to germline and somatic mutations in the VHL tumour suppressor gene. VHL disease is classified into type 1 and type 2, showing a clear genotype-phenotype correlation, as type 2 is associated with phaeochromocytoma and essentially caused by missense mutations. The aim of this study is to characterize the phenotype and genotype of families with VHL disease. Eighteen of twenty patients from ten unrelated families underwent genetic testing, nine of them fulfilled VHL disease criteria and one had an apparently sporadic cerebellar haemangioblastoma. Four different germline mutations in the VHL gene were identified: c.226_228delTTC (p.Phe76del); c.217C > T (p.Gln73X); IVS1-1 G > A and IVS2-1 G > C. The first three mutations were associated with type 1 disease and the last one with type 2B, which had never been identified in the germline. The transcriptional processing of a novel splice-site mutation was characterised. Three type 1 VHL families showed large deletions of the VHL gene, two of them encompassed the FANCD2/C3orf10 genes and were not associated with renal lesions. We also suggest that such families should be subclassified according to the risk of RCC and the extent of the VHL gene deletions. This study highlights the need for a through clinical and molecular characterisation of families with VHL disease to better delineate its genotype-phenotype correlation.