On the Sobolev trace Theorem for variable exponent spaces in the critical range

In this paper we study the Sobolev Trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then we give local conditions on the exponents and on the domain (in the spirit of Adimurthy and Yadava) in order to satisfy such conditions, and therefore to ensure the existence of extremals.Comment: 21 pages, submitte

A Gamma convergence approach to the critical Sobolev embedding in variable exponent spaces

In this paper, we study the critical Sobolev embeddings W1,p(.)(Ω)⊂Lp*(.)(Ω) for variable exponent Sobolev spaces from the point of view of the Γ-convergence. More precisely we determine the Γ-limit of subcritical approximation of the best constant associated with this embedding. As an application we provide a sufficient condition for the existence of extremals for the best constant.Fil: Fernandez Bonder, Julian. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Saintier, Nicolas Bernard Claude. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Silva, Analia. Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentin

Symbolic computations of non-linear observability

Date of Acceptance: 22/05/2015 ACKNOWLEDGEMENTS E.B.M. and M.S.B. acknowledge the Engineering and Physical Sciences Research Council (EPSRC), Grant No. EP/I032608/1. This work was done during a stay of E.B.M. at CORIA (Rouen) and a stay of C.L. at ICSMB (Aberdeen).Peer reviewedPublisher PD

The evaluation of fibrin tissue adhesive for skin closure following eyelid surgery

The use of fibrin tissue adhesives in clinical practice has grown over the past 10 years, and there has been increased use of adhesives in different surgical subspecialties. Conventional suture closure of periorbital tissues is effective however may result in complications, which has led to the search for other techniques and innovations. Although tissue adhesives have been used in clinical practice there is a paucity of randomized controlled studies that have evaluated their advantages and disadvantage in surgical practice. The goals of eyelid surgery include the restoration of tissue structure and function while causing minimal morbidity. The use of a medical product that induces physiological clotting and fibrin formation is appealing in both theory and clinical practice. However fibrin tissue adhesives present disadvantages and complications of their own. This thesis set out to evaluate the use of fibrin tissue adhesives in eyelid surgery and includes a 5-year randomized control study comparing fibrin tissue adhesives to suture closure of skin. A challenge in the evaluation of eyelid surgery is the definition of a successful outcome. Surgical outcomes have traditionally been measured by surgical complications and the need for further redo surgery. Other relevant aspects of surgical outcome that have rarely been evaluated include surgical healing and scar formation, asymmetry that is present however not requiring further surgery, patient experience and satisfaction. This research set out to further define outcomes for eyelid surgery to enable a more comprehensive and objective evaluation of surgical outcome

A symbolic network-based nonlinear theory for dynamical systems observability

EBM and MSB acknowledge the Engineering and Physical Sciences Research Council (EPSRC), grant Ref. EP/I032608/1. ISN acknowledges partial support from the Ministerio de Economía y Competitividad of Spain under project FIS2013-41057-P and from the Group of Research Excelence URJC-Banco de Santander.Peer reviewedPublisher PD

Circlator: automated circularization of genome assemblies using long sequencing reads

The assembly of DNA sequence data is undergoing a renaissance thanks to emerging technologies capable of producing reads tens of kilobases long. Assembling complete bacterial and small eukaryotic genomes is now possible, but the final step of circularizing sequences remains unsolved. Here we present Circlator, the first tool to automate assembly circularization and produce accurate linear representations of circular sequences. Using Pacific Biosciences and Oxford Nanopore data, Circlator correctly circularized 26 of 27 circularizable sequences, comprising 11 chromosomes and 12 plasmids from bacteria, the apicoplast and mitochondrion of Plasmodium falciparum and a human mitochondrion. Circlator is available at http://sanger-pathogens.github.io/circlator/

A escola em movimento em prol da promoção da competência de leitura: uma revisão teórica

Este artigo trata da promoção da leitura na escola. Há diversas razões teóricas e evidências prévias a favor da integração do movimento físico no processo de ensino-aprendizagem. Busca-se entender se essa integração é plausível especificamente para a aprendizagem da leitura e como ela pode ocorrer. Por meio de uma revisão de literatura, considerando predominantemente estudos da Alemanha, objetiva-se identificar as razões relacionadas ao processo da leitura, da alfabetização e do letramento. Discutem-se as razões à luz do modelo de processamento textual de Walter Kintsch e Teun van Dijk e da teoria de rubicão de Heinz Heckhausen. Apresentam-se razões a respeito de processos cognitivos de leitura, da volição e da motivação que apoiam o pressuposto de que a aquisição da competência de leitura recebe estímulos importantes pela oferta de aulas em movimento. É plausível que a inserção de movimento atue sobre os objetivos que o leitor quer alcançar por meio da leitura. A autoestima corporal parece ter um impacto positivo na volição pela leitura e uma influência no autoconceito do leitor. Expõem-se também algumas atividades de ensino e aprendizagem para aulas fisicamente ativas de leitura ao nível da alfabetização e do letramento, encontradas na literatura específica. Realiza-se uma diferenciação entre atividades de ensino e aprendizagem em movimento que acompanham a aprendizagem e que a facilitam.The current article addresses the promotion of reading at school. There is previous evidence and several theoretical arguments in favor of the integration of physical movement in the teaching-learning process. The question is raised as to whether this integration is plausible, specifically for learning to read, and how it could occur. Through a literature review, considering predominantly German studies, the objective is to identify the arguments related to the process of reading and literacy. The arguments are discussed in the light of the Text Processing Model by Walter Kintsch and Teun van Dijk and Heinz Heckhausen’s Rubicon theory. Arguments are presented regarding cognitive reading processes, volition, and motivation, which support the assumption that the acquisition of reading competence gains important stimuli through the offer of classes on the move. It seems plausible that the insertion of movement acts on the goals that the reader wants to achieve through reading. Body self-esteem seems to have a positive impact on volition through reading and an influence on the reader’s self-concept. Some teaching and learning activities are put forward for physically active reading classes in terms of literacy, found in the specific literature. Differentiation is made between teaching and learning activities on the move, which accompany and facilitate learning