Camassa-Holm equation: transformation to deformed sinh-Gordon equations, cuspon and soliton solutions

In this paper a relation between the Camassa-Holm equation and the non-local deformations of the sinh-Gordon equation is used to study some properties of the former equation. We will show that cuspon and soliton solutions can be obtained from soliton solutions of the deformed sinh-Gordon equation.

Conformal coupling and Foldy-Wouthuysen transformation

The propagation of a free scalar field phi with mass m in a curved background is generally described by the equation (g(munu) delmudelnu + m(2) + xiR)phi = 0. There exist some arguments in the literature that seem to favor the conformal coupling to the detriment of the minimal one. However, the majority of these claims axe inconclusive. Here we show that the exact Foldy Wouthuysen transformation for spin-0 particle coupled to a wide class of static spacetime metrics exists independently of the value of. Nevertheless, if the coupling is of the conformal type, the gravitational Darwin-like term has an uncomplicated structure and it is proportional to the corresponding term in the fermionic case. In addition, an independent computation of this term, which has its origin in the zitterbewegung fluctuation of the boson's position with the mean square <(deltar)(2)> approximate to 1/m(2), gives a result that coincides with that obtained using the aforementioned exact transformation with xi = 1/6.

Modified Korteweg-de Vries hierarchy with hodograph transformation: Camassa-Holm and Harry-Dym hierarchies

In this paper, we present relations between Camassa-Holm (CH), Harry-Dym (HD) and modified Korteweg-de Vries (mKdV) hierarchies, which are given by the hodograph type transformation. (C) 2001 IMACS. Published by Elsevier B.V. B.V. All rights reserved.

The impossibility of a universal relativistic temperature transformation

The non-existence of a relativistic temperature transformation is due to the fact that an observer moving in a heat reservoir cannot detect a blackbody spectrum. (C) 2004 Published by Elsevier B.V.

Permutability of Backlund transformation for N=1 supersymmetric sinh-Gordon

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Effect of Ag additions on the reverse martensitic transformation in the Cu-10 mass% Al alloy

The effect of Ag additions on the reverse martensitic transformation in the Cu-10 mass% Al alloy was studied using differential thermal analysis (DTA), optical (OM) and scanning electron microscopies (SEM) and X-ray diffractometry. The results indicated that Ag additions to the Cu-10 mass% Al alloy shift the equilibrium concentration to higher Al contents, allow to obtain both beta(1)' and beta' martensitic phases in equilibrium and that Ag precipitation is a process associated with the perlitic phase formation.

Thermal stability of the martensitic transformation of Cu-Al-Ni-Mn-Ti

The development of new shape memory alloys with high martensitic transformation temperature increases the potential for applications. The development and use of these new alloys depends on the stability of the structure during cycling at high temperatures. If it is possible to guarantee that on alloys keeps the structure during cycling, then the alloy can be used because of the shape memory properties. The aim of this work is to obtain a kinetic model of the forward and backward martensitic transformation of two Cu-Al-Ni-Mn-Ti alloys. Differential scanning calorimetry has been performed in order to establish the kinetic stability of the martensite and the beta transformation. (c) 2006 Elsevier B.V. All rights reserved.

Reverse martensitic transformation in the Cu-10 wt% Al-6 wt%Ag alloy

The reverse martensitic transformation in the Cu-10 wt%Al-6 wt%Ag alloy was studied by classical differential thermal analysis (IDTA), scanning electron microscopy (SEM), energy dispersive X-ray analysis (EDX) and X-ray diffractometry (XRD). The results indicated that the presence of Ag in the Cu-10%Al alloy is responsible for the separation of the competitive reactions that occur during the reverse martensitic transformation and is also associated to an increase in the disordering degree at high temperatures, when compared with alloys without Ag addition. (c) 2005 Springer Science + Business Media, Inc.

Order-disorder transformation in the Ni-4.49 at.% Al alloy

The order-disorder transformation in the Ni-4.49 at.% Al alloy was studied using electrical resistivity measurements, microhardness measurements, differential scanning calorimetry (DSC) and transmission electron microscopy (TEM). The results confirmed the ordering behavior expected for Ni-Al dilute alloys and the suggested relation between resistivity changes and microhardness changes with antiferromagnetic spin ordering. The higher value obtained for the activation energy of vacancy migration was associated with a decrease in the Al concentration gradient near solute-depleted regions. (c) 2005 Elsevier B.V. All rights reserved.

Projeções e expectativas de ingressantes no curso de formação docente em educação profissional técnica na saúde

O presente estudo propõe analisar as projeções e expectativas dos ingressantes em um curso de formação docente, que visa superar a fragmentação disciplinar e criar maior aproximação com o mundo do trabalho. Trata-se de estudo qualitativo realizado a partir de entrevistas com 33 ingressantes do curso. Para a análise dos dados, pautou-se na técnica de análise de conteúdo, modalidade temática. Os resultados do estudo permitiram elencar as seguintes categorias temáticas: possibilidade de ensinar-aprender; necessidade de capacitação pedagógica e de constante busca de aprendizagem; possibilidade de mudança da realidade. Conclui-se que os ingressantes vislumbram a transformação da realidade social na qual estão inseridos, considerando a necessidade de aquisição de novas habilidades e competências profissionais, com intuito de exercer eficazmente o trabalho e ocupar um espaço competitivo no mercado.

Modelagem Matemática e Tecnologias de Informação e Comunicação: a realidade do mundo cibernético como um vetor de virtualização

Neste artigo construímos um entrelaçamento teórico-filosófico que tem como objetivo discutir a relação entre Modelagem Matemática e realidade do mundo cibernético. em particular, essa abrangência da realidade é evidenciada como um possível vetor de virtualização, isto é, como um aspecto que pode influenciar o modo como a problemática que envolve uma determinada situação ou entidade é compreendida. Para tanto, fazemos uma associação entre Modelagem Matemática e as transformações que envolvem os modos de ser denotados por real, possível, atual e virtual, tendo como base ilustrativa as quatro causas aristotélicas. Complementando essa associação, assumimos uma concepção de problema que permite uma consolidação entre as relações estabelecidas e, também, uma concepção de realidade que entende o mundo cibernético como uma de suas dimensões. Por fim, apresentamos um exemplo de Modelagem Matemática ocorrido em sala de aula, que visa caracterizar a realidade do mundo cibernético como um vetor de virtualização.

Construção de um sistema educacional inclusivo: um desafio político-pedagógico

Na realidade brasileira a proposta da construção de um sistema educacional inclusivo encontra-se amparada legalmente e em princípios teóricos fundamentados em ideais democráticos de igualdade, eqüidade e diversidade. No entanto, muitas vezes, as práticas inclusivas se distanciam sobremaneira das proposições teóricas e legais. Assim, neste artigo, temos como objetivo discutir aspectos relacionados ao delineamento de políticas públicas de inclusão educacional, considerando as ações político-administrativas e as de caráter pedagógico. Colocamos em debate as dificuldades de apreensão do caráter inter-setorial do processo, do conceito de educação inclusiva, como também as dificuldades de materialização de práticas não excludentes, da transformação do contexto educacional, tanto no que se refere às concepções quanto às ações na busca de implantação e implementação de um sistema inclusivo.

Oxygen mobility and structural phase transformation in Bi2Sr2CaCu2O8+delta measured by anelastic spectroscopy

One of the most studied ceramic superconductors for application has been, undoubtedly, Bi2Sr2CaCu2O8+delta. Although being a multiphasic material, it has proved to have great advantages compared to other ceramic systems. Measurements of the elastic energy loss and modulus (anelastic spectroscopy) as a function of temperature call distinguish among different atomic jumps that occur inside the various phases or at different local ordering. In this paper, mechanical loss spectra of Bi2Sr2CaCu2O8+delta bar shaped samples, made by a conventional method, have been measured between 80 and 600 K, using a torsion pendulum operating in frequencies below 50 Hz, for samples annealed in vacuum up to 600 K. Possible relaxation mechanisms are proposed to explain the origin of the mechanical-loss peaks observed 300 and 500 K. (C) 2004 Elsevier B.V. All rights reserved.

Topotatic-like phase transformation of amorphous lead titanate to cubic lead titanate

The crystallization process of lead titanate (PT) prepared using the polymeric precursor method was investigated using X-ray diffractometry, Raman spectroscopy, electron microscopy, and X-ray absorption spectroscopy techniques. The results showed that amorphous PT was formed by an O-Ti-O structure composed of fivefold and sixfold oxygen-coordinated titanium. The local structure of the amorphous PT phase was similar to that of the cubic PT phase, i.e., similar coordination number and similar bond lengths, leading to a topotactic-like transformation during the phase transformation from amorphous to cubic perovskite PT. Because of the low crystallization temperature, every transformation observed during the crystallization process was associated with a short-range rearrangement process.