Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields

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

Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Thermal effective Lagrangian of generalized electrodynamics in static gravitational fields

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

Instability of nonminimally coupled scalar fields in the spacetime of slowly rotating compact objects

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

Higher-derivative non-Abelian gauge fields via the Faddeev-Jackiw formalism

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

VSR symmetries in the DKP algebra: The interplay between Dirac and Elko spinor fields

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields

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

TACTILE CARTOGRAPHY EXPERIENCES IN BRAZIL: METHODOLOGIES AND DIDACTICAL MATERIAL WITH TECHNOLOGICAL RESOURCES FOR INCLUSION OF BLIND AND LOW VISION STUDENTS

The tactile cartography is an area of Cartography that aims the development of methodologies and didactical material to work cartographic concepts with blind and low vision people. The main aim of this article is to present the experience of Tactile Cartography Research Group from Sao Paulo State University (UNESP), including some didactical material and courses for teachers using the System MAPAVOX. The System MAPAVOX is software developed by our research group in a partnership with Federal University of Rio de Janeiro (UFRJ) that integrates maps and models with a voice synthesizer, sound emission, texts, images and video visualizing for computers. Our research methodology is based in authors that have in the students the centre of didactical activity such as Ochaita and Espinosa in [1], which developed studies related to blind children's literacy. According to Almeida the child's drawing is, thus, a system of representation. It isn't a copy of objects, but interpretation of that which is real, done by the child in graphic language[2]. In the proposed activities with blind and low vision students they are prepared to interpret reality and represent it by adopting concepts of graphic language learned. To start the cartographic initialization it is necessary to use personal and quotidian references, for example the classroom tactile model or map, to include concepts in generalization and scale concerning to their space of life. During these years many case studies were developed with blind and low vision students from Special School for Hearing Impaired and Visually Impaired in Araras and Rio Claro, Sao Paulo - Brazil. The most part of these experiences and others from Brazil and Chile are presented in [3]. Tactile material and MAPAVOX facilities are analysed by students and teachers who contribute with suggestions to reformulate and adapt them to their sensibility and necessity. Since 2005 we offer courses in Tactile Cartography to prepare teachers from elementary school in the manipulation of didactical material and attending students with special educational needs in regular classroom. There were 6 classroom and blended courses offered for 184 teachers from public schools in this region of the Sao Paulo state. As conclusion we can observe that methodological procedures centred in the blind and low vision students are successful in their spatial orientation if use didactical material from places or objects with which they have significant experience. During the applying of courses for teachers we could see that interdisciplinary groups can find creative cartographic alternatives more easily. We observed too that the best results in methodological procedures were those who provided concreteness to abstract concepts using daily experiences.

Chaotic planar piecewise smooth vector fields with non-trivial minimal sets

In this paper some aspects on chaotic behavior and minimality in planar piecewise smooth vector fields theory are treated. The occurrence of non-deterministic chaos is observed and the concept of orientable minimality is introduced. Some relations between minimality and orientable minimality are also investigated and the existence of new kinds of non-trivial minimal sets in chaotic systems is observed. The approach is geometrical and involves the ordinary techniques of non-smooth systems.

Fields of two power conductor

The goal of this work is find a description for fields of two power conductor. By the Kronecker-Weber theorem, these amounts to find the subfields of cyclotomic field $\mathbb{Q}(\xi_{2^r})$, where $\xi_{2^r}$ is a $2^r$-th primitive root of unit and $r$ a positive integer. In this case, the cyclotomic extension isn't cyclic, however its Galois group is generated by two elements and the subfield can be expressed by $\mathbb{Q}(\theta)$ for a $\theta\in\mathbb{Q}(\xi_{2^r})$ convenient.

Geometrical coupling fields of a hypercomplex type

This paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function.

Geometrical hypercomplex coupling between electric and gravitational fields

The present work shows a coupling of electrical and gravitational fields through Cauchy-Riemann conditions for quaternions present in a previous paper [1]. It is also obtained an extended version of the Laplace-like equations for quaternions, now written in terms of both electric and gravitational fields.

Longitudinal effect of curcumin-photodynamic antimicrobial chemotherapy in adolescents during fixed orthodontic treatment: a single-blind randomized clinical trial study

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

Is there difference of Streptococcus mutans count and adherence on amalgam and resin occlusal restorations? A blind clinical study

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)