About the minimum time transference in a fractional differential equation

The use of fractional calculus when modeling phenomena allows new queries concerning the deepest parts of the physical laws involved in. Here we will be dealing with an apparent paradox in which the time of transference from zero in a system with fractional derivatives can be strictly shortened relatively to the minimal time transference done in an equivalent system in the frame of the entire derivatives.

Simplified periodontal record for pregnant women

The assessment using the PSR (Periodontal Screening and Recording) of the prevalence and severity of and the basic treatment needs for periodontal disease in a group of pregnant women who attended the Preventive Dentistry Clinic at the School of Dentistry of Araraquara--UNESP. Forty-one pregnant women of 16 to 37 years of age, were examined. The PSR index was evaluated with a suitable periodontal probe (Trinity-model 621-WHO) with index codes scores of from 0 to 4, capable of indicating the presence of the following conditions: periodontal health, bleeding on probing, calculus, shallow and deep pockets. These codes were attributed to each sextant and could be marked with an asterisk (*) to indicate the presence of gingival recession, furcation lesions, mobility or any other mucogingival alterations. It is shown that 100% of the pregnant women had some kind of gingival alteration, represented mainly by PSR code 2 (56.1%) and * (19.5%). The women in the youngest age groups, 15-19 and 20-24 years, had code 2 as their highest score with no sextant excluded. In the 25-29 age group, the PSR code 2 still prevailed (54.5%) although codes 3 and 4 were already appearing. The code * and the occurrence of excluded sextants tended to increase in the oldest age group (30-37). In general, the affected sextants showed codes 1 and 2 more frequently, corresponding to 41.6% and 39.8% respectively, which represented a mean of 2.49 and 2.39 sextants affected in each pregnant woman. Regarding the treatment needs, 90.2% of the women needed some treatment beyond the preventive measures begun, including scaling and root planning and/or corrections of defective restorative margins (61%), and more complex treatment (29.2%). The meeting of the treatment needs during pregnancy must include special efforts to increase motivation and promote oral health, minimizing the possibility of vertical transmission of pathogenic microrganisms to the child, and thus contributing to the primary prevention of the main oral diseases.

Funções, funcionais e operadores na física matemática, com índices matriciais

With the advance of mathematical methods throughout the centuries, in particular with respect to the differential calculus, the notion of fractional derivative emerged with Leibniz and later developed by several well known scientists. Today that formalism is well used in the study of diffusion phenomena among other areas. We extend the fractional indices to matricial indices and develop a formalism to handle this generalized derivative, as well as other operators, functions and functionals in mathematical physics, originally defined for natural indices. Here we only consider 2x2 hermitian and anti-hermitian matrices. These matrices are associated to the well known Pauli matrices and Hamilton's quaternions. Applications with mathematical physics functions are presented

Um estudo sobre a função exponencial

Pós-graduação em Matemática em Rede Nacional - IBILCE

Introdução a noções de cálculo diferencial e integral no ensino médio no contexto das TIC: implicações para prática do professor que ensina matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma abordagem didático-pedagógica do cálculo diferencial e integral I na formação de professores de matemática

Pós-graduação em Educação Matemática - IGCE

Diagnóstico dos casos de aprovação nas disciplinas de cálculo diferencial e integral I e II do curso de licenciatura em química - Unesp de Araraquara

Studies show that the disciplines of differential and integral calculus have high failure rates in all schools where they are present and, although this problem has been accentuated in recent years, it is not a local phenomenon. It's observed since 1970s in various Institutions of higher education in Brazil. These studies seek to understand the causes of failures and proposals for teaching methodology that aims to help reduce these rates. However, there is a large contingent of students who are successful at the first time that they perform these disciplines. And these cases, although they have not been studied, can contribute greatly to the understanding the aspects that are related to learning of them. And this understanding can lead to attitudes and learning and teaching methodologies that promote the expansion of this success. The fact that these subjects also have high failure rates in the Degree in Chemistry of this Institute, this study aimed to investigate the factors that were relevant to the cases for approval of the students performed for the first time. For this we constructed a questionnaire containing objective questions and open answers. The objective sought to diagnose the profile of these students with regard to age, gender, basic education (elementary and middle school), study habits, concurrent activities, among others. These questions were analyzed using simple statistics. The open-ended questions asked students to indicate that they attribute the success obtained in the disciplines and to suggest modes of study. These questions were analyzed using thematic categorization, a method of content analysis. This questionnaire was completed, voluntarily and without identification, by students who have passed the first time attended the courses Calculus I and/ or Calculus II and had never started another college prior to this. The results indicate that the most relevant factors in this process were dedication and correct habits...

Álcool, fumo e problemas periodontais em gestantes atendidas no sistema público de saúde

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

Procedimentos para o dimensionamento de reservatório de água pluvial para residências unifamiliares: viabilidade e aprimoramento metodológico

This paper focus to apply, to discuss and to propose the Maximum Harvesting Method improvement, regarding the method application, for household rainwater harvesting systems. For this purpose, the rainwater was considered to supply the flush toilet demand in a household for 3, 4, and 5 inhabitants. The 80, 120 and 200m2 catchments areas and the 0, 1, 2 and 4mm first flushes discharges were also considered. Further, the improvement suggestions for cistern volume calculus and volume/level dynamics variation in a period were presented and the results were compared applying the Simulation Analyses Method. The results indicate that the Maximum Harvesting Method could be applied and that the improvement proposal can be used to determinate the cistern volume as well to analyze the dynamic behavior of volume/level, constituting by itself a single tool to assist rainwater harvesting systems designers.

Documento, poder e governo: os agenciamentos políticos na construção patrimonial no Arquivo Central do IPHAN/Seção Rio de Janeiro

Pós-graduação em Ciência da Informação - FFC

Aplicações da função logarítmica em sala de aula no ensino médio: uma proposta de solução de problemas pela transposição para a linguagem matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Theorem for series in three-parameter mittag-leffler function

The new result presented here is a theorem involving series in the three-parameter Mittag-Le er function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional di erential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Le er function.

A neighbourhood semantic for the Logic TK

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

Modelagem Matemática e Análise de Modelos Matemáticos na Educação Matemática

In this paper we present two studies, the first one completed and the second one in development, which are based in teaching approaches that propose the qualitative study of mathematical models as a strategy for the teaching and learning of mathematical concepts. These teaching approaches focus on subjects from Higher Education such as Introduction to Ordinary Differential Equations and Topics of Differential and Integral Calculus. We denominate this common aspect of the teaching approaches as Model Analysis and in a preliminary level we relate it with Mathematical Modeling. Furthermore, we discuss some questions related with the choice of the theme and the role of Digital Technologies when Model Analysis is applied.

Desenvolvimento de dispositivos computacionais para registro de dados pluviométricos e análise operacional de pluviômetros basculantes

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)