103 resultados para Lipschitz trivial


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We study the scattering equations recently proposed by Cachazo, He and Yuan in the special kinematics where their solutions can be identified with the zeros of the Jacobi polynomials. This allows for a non-trivial two-parameter family of kinematics. We present explicit and compact formulas for the n-gluon and n-graviton partial scattering amplitudes for our special kinematics in terms of Jacobi polynomials. We also provide alternative expressions in terms of gamma functions. We give an interpretation of the common reduced determinant appearing in the amplitudes as the product of the squares of the eigenfrequencies of small oscillations of a system whose equilibrium is the solutions of the scattering equations.

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Self-adaptive Software (SaS) presents specific characteristics compared to traditional ones, as it makes possible adaptations to be incorporated at runtime. These adaptations, when manually performed, normally become an onerous, error-prone activity. In this scenario, automated approaches have been proposed to support such adaptations; however, the development of SaS is not a trivial task. In parallel, reference architectures are reusable artifacts that aggregate the knowledge of architectures of software systems in specific domains. They have facilitated the development, standardization, and evolution of systems of those domains. In spite of their relevance, in the SaS domain, reference architectures that could support a more systematic development of SaS are not found yet. Considering this context, the main contribution of this paper is to present a reference architecture based on reflection for SaS, named RA4SaS (Reference Architecture for SaS). Its main purpose is to support the development of SaS that presents adaptations at runtime. To show the viability of this reference architecture, a case study is presented. As result, it has been observed that RA4SaS has presented good perspective to efficiently contribute to the area of SaS.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov functionals. We introduce the concept of variational exponential stability for generalized ordinary differential equations and we develop the theory in this direction by establishing conditions for the trivial solutions of generalized ordinary differential equations to be exponentially stable. Then, we apply the results to get corresponding ones for impulsive functional differential equations. We also present an example of a delay differential equation with Perron integrable right-hand side where we apply our result.

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

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

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Internet access by wireless networks has grown considerably in recent years. However, these networks are vulnerable to security problems, especially those related to denial of service attacks. Intrusion Detection Systems(IDS)are widely used to improve network security, but comparison among the several existing approaches is not a trivial task. This paper proposes building a datasetfor evaluating IDS in wireless environments. The data were captured in a real, operating network. We conducted tests using traditional IDS and achieved great results, which showed the effectiveness of our proposed approach.

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This paper presents the development of a Web application called CityFreedom based on 3D modeling. The developed system demonstrates the use of most revolutionary and innovative techniques to create Web portals with the integrated 3D navigation scenarios to their own pages, without requiring any kind of plug-ins or external software. Everything works on the basis of compatible browsers. The CtyFreedom aims to give the user the feeling of immersion in virtual reality so get to interact with a three-dimensional city in order to see new places, traveling in an area of town that has always thought of knowing or even analyze establishments long before attend-them. It's the freedom to know and traveling around the city in a simple and trivial way. It is a new trend, the future of Web systems development

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Obesidade e comumente definida como um excesso de gordura corporal, porém diante da dificuldade em mensurar tal gordura diretamente, esta tem sido definida como um excesso de peso mais do que um excesso de gordura corporal, que tem como desdobramento a ocorrência de doenças associadas e/ou prejuízos a saúde do indivíduo (4). Atualmente, o excesso de massa corpórea e verificado por meio de um Indice de Massa Corpórea (IMC), que considera o quociente entre o peso corporal (kg) e a estatura elevada ao quadrado (m2). Indivíduos com sobrepeso apresentam IMC de 25 at e 29; 9 kg=m2, e com obesidade apresentam IMC de 30 Kg=m2 ou mais, de acordo com a OMS (1). A identificação das causas da obesidade não é trivial e objetiva. Especialistas reconhecem que a obesidade e uma doença crônica, de difícil tratamento, denominada multifatorial, envolvendo em sua gênese diversos aspectos, entre eles: o consumo alimentar, aspectos ambientais, genéticos, psicossociais, entre outros. objetivo deste trabalho foi desenvolver um modelo baseado em teoria dos conjuntos Fuzzy para a classificação de obesidade levando em consideração as suas causas, e compará-lo com um modelo de regressão logística através da curva ROC. Para estudar as causas da obesidade na população de moradores da região do Distrito Sul de Campinas, foram coletados dados de uma amostra aleatória de 651 indivíuos, por meio de entrevista domiciliar. No primeiro estágio amostral, a partir do cadastro de domicílios residenciais dos agentes comunitários de saúde, foram aleatoriamente sorteados 920 domicílios (15% a mais do inicialmente previsto para cobrir perdas). Foram coletados dados de identificação geral, como: nome, idade, sexo, anos de escolaridade, tipo de ocupação e dados de consumo alimentar. O diagnóstico foi observado através do IMC. Num estudo preliminar, no modelo fuzzy foram consideradas como variáveis... (Resumo completo, clicar acesso eletrônico abaixo)

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

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Implicit ODE, cubic in derivative, generically has no infinitesimal symmetries even at regular points with distinct roots. Cartan showed that at regular points, ODEs with hexagonal 3-web of solutions have symmetry algebras of the maximal possible dimension 3. At singular points such a web can lose all its symmetries. In this paper we study hexagonal 3-webs having at least one infinitesimal symmetry at singular points. In particular, we establish sufficient conditions for the existence of non-trivial symmetries and show that under natural assumptions such a symmetry is semi-simple, i.e. is a scaling in some coordinates. Using the obtained results, we provide a complete classification of hexagonal singular 3-web germs in the complex plane, satisfying the following two conditions: 1) the Chern connection form is holomorphic at the singular point, 2) the web admits at least one infinitesimal symmetry at this point. As a by-product, a classification of hexagonal weighted homogeneous 3-webs is obtained.

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In the paper, the set-valued covering mappings are studied. The statements on solvability, solution estimates, and well-posedness of inclusions with conditionally covering mappings are proved. The results obtained are applied to the investigation of differential inclusions unsolved for the unknown function. The statements on solvability, solution estimates, and well-posedness of these inclusions are derived.

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A remarkable characteristic of the physics subject is the abstraction ability needed during the learning process, which means a non-trivial comprehension and understanding. If the students could not link the themes learned in this subject with observable effects, physics would tend to be a group of mathematical formulas to be memorized. In general, it creates a distance between the student and the subject, and also a prejudice vision of the physics, sometimes for the whole life. Beyond this particular characteristics of physics, the education deals with a source of distraction reinforced by the popularization of mobile access such as cellphones and tablets. The traditional role played by the teacher becomes weak to attract student’s attention. It is necessary that the classes could be planned in such way to achieve three goals: attract student attention, link analytical concepts with real effects and, the most important, gives to the student the ability to use the learned concepts as the key to develop new knowledge. In this work, we present a research based in some experiments used in a CBEF (Brazilian magazine about physical education) and develop an activity consistent with the aims to be reached. To prepare of the experimental activity, we based on Piaget and Vygotsky theories. This work aimed to developed a theoretical research to obtain a didactical activity that deals with the current challenges of the society

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Pós-graduação em Física - FEG

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)