An optimization problem concerning multiplicative functions

In this paper we study the problem of maximizing a quadratic form 〈Ax,x〉 subject to ‖x‖q=1, where A has matrix entries View the MathML source with i,j|k and q≥1. We investigate when the optimum is achieved at a ‘multiplicative’ point; i.e. where x1xmn=xmxn. This turns out to depend on both f and q, with a marked difference appearing as q varies between 1 and 2. We prove some partial results and conjecture that for f multiplicative such that 0

Stability of numerical schemes on staggered grids

This paper considers the stability of explicit, implicit and Crank-Nicolson schemes for the one-dimensional heat equation on a staggered grid. Furthemore, we consider the cases when both explicit and implicit approximations of the boundary conditions arc employed. Why we choose to do this is clearly motivated and arises front solving fluid flow equations with free surfaces when the Reynolds number can be very small. in at least parts of the spatial domain. A comprehensive stability analysis is supplied: a novel result is the precise stability restriction on the Crank-Nicolson method when the boundary conditions are approximated explicitly, that is, at t =n delta t rather than t = (n + 1)delta t. The two-dimensional Navier-Stokes equations were then solved by a marker and cell approach for two simple problems that had analytic solutions. It was found that the stability results provided in this paper were qualitatively very similar. thereby providing insight as to why a Crank-Nicolson approximation of the momentum equations is only conditionally, stable. Copyright (C) 2008 John Wiley & Sons, Ltd.

A criterion for unitary similarity of upper triangular matrices in general position

Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A = [a(ij)] and B = [b(ij)] be upper triangular n x n matrices that are not similar to direct sums of square matrices of smaller sizes, or are in general position and have the same main diagonal. We prove that A and B are unitarily similar if and only if parallel to h(A(k))parallel to = parallel to h(B(k))parallel to for all h is an element of C vertical bar x vertical bar and k = 1, ..., n, where A(k) := [a(ij)](i.j=1)(k) and B(k) := [b(ij)](i.j=1)(k) are the leading principal k x k submatrices of A and B, and parallel to . parallel to is the Frobenius norm. (C) 2011 Elsevier Inc. All rights reserved.

An application of lattice basis reduction to polynomial identities for algebraic structures

The authors` recent classification of trilinear operations includes, among other cases, a fourth family of operations with parameter q epsilon Q boolean OR {infinity}, and weakly commutative and weakly anticommutative operations. These operations satisfy polynomial identities in degree 3 and further identities in degree 5. For each operation, using the row canonical form of the expansion matrix E to find the identities in degree 5 gives extremely complicated results. We use lattice basis reduction to simplify these identities: we compute the Hermite normal form H of E(t), obtain a basis of the nullspace lattice from the last rows of a matrix U for which UE(t) = H, and then use the LLL algorithm to reduce the basis. (C) 2008 Elsevier Inc. All rights reserved.

Polynomial identities for the ternary cyclic sum

We simplify the results of Bremner and Hentzel [J. Algebra 231 (2000) 387-405] on polynomial identities of degree 9 in two variables satisfied by the ternary cyclic sum [a, b, c] abc + bca + cab in every totally associative ternary algebra. We also obtain new identities of degree 9 in three variables which do not follow from the identities in two variables. Our results depend on (i) the LLL algorithm for lattice basis reduction, and (ii) linearization operators in the group algebra of the symmetric group which permit efficient computation of the representation matrices for a non-linear identity. Our computational methods can be applied to polynomial identities for other algebraic structures.

A canonical form for nonderogatory matrices under unitary similarity

A square matrix is nonderogatory if its Jordan blocks have distinct eigenvalues. We give canonical forms for (1) nonderogatory complex matrices up to unitary similarity, and (2) pairs of complex matrices up to similarity, in which one matrix has distinct eigenvalues. The types of these canonical forms are given by undirected and, respectively, directed graphs with no undirected cycles. (C) 2011 Elsevier Inc. All rights reserved.

This is your brain on the iPad

The proliferative usage of multimedia tools in the classroom reflects an increasingly technocratic education system. Technology provides educators with new opportunities to reach students in innovative ways. We describe the use of iPads and several proprietary applications in a General Psychology course as one opportunity to improve student learning outcomes. Quantitative and qualitative evidence will be provided of the pre- and post-tests, which both show positive significant outcomes.

The connectivity paradox: Students’ use of technology as both help and hindrance, and the challenge of striking a balance.

While there is research supporting the use of technology in classrooms, there is also evidence that technology often disrupts student learning. Examples of technology use in classrooms by both teachers and students will be explored, including the benefits and risks of each to the learning process. Research findings on cognition, attention, and classroom technologies will inform strategies for best practices for classroom technology use.

The Use of On-Line Computer adaptive Testing to raise Standardized Test Scores

Nursing school graduates are under pressure to pass the RN-NCLEX Exam on the first attempt since New York State monitors the results and uses them to evaluate the school’s nursing programs. Since the RN-NCLEX Exam is a standardized test, we sought a method to make our students better test takers. The use of on-line computer adaptive testing has raised our student’s standardized test scores at the end of the nursing course.

Human resource policies in public education: empirical evidences for Brazil

Esta tese traz três exercícios empíricos sobre questões de recursos humanos em escolas públicas brasileiras, aproveitando-se de uma ampla política implantada na rede estadual de São Paulo. Esta política aumenta os salários para os professores que trabalham em escolas urbanas pobres e sua regra de alocação, baseada em um corte arbitrário em um índice socioeconômico, permite a identificação de impactos causais. Em resumo, os três artigos apontam que políticas de subsídios são capazes de, de fato, manter professores nas escolas mais pobres e este efeito, por sua vez, melhora o desempenho acadêmico dos alunos. Além disso, concluímos também que esta política também reduz o absenteísmo dos professores. No entanto, como consequência do desenho dessa política, não há evidências de que o subsídio melhora o perfil dos professores alocados nessas escolas. O primeiro artigo avalia os impactos dessa política sobre a rotatividade dos professores. Concluímos que a compensação salarial reduziu a taxa de rotatividade em 7,2 pontos percentuais, o que significa uma queda de 15% sobre a média pré-tratamento. Em um modelo em forma reduzida, encontramos também evidências de que esta política pode impactar positivamente o desempenho dos alunos. O segundo artigo analisa os impactos sobre a aprendizagem dos alunos, com foco em três possíveis mecanismos: i) a rotatividade; ii) a qualidade dos professores; iii) o aumento do salário. As estimativas mostram que o único canal através do qual esta política compensatória afeta o desempenho dos alunos é a redução da rotatividade dos professores. Ao reduzir taxa de volume de negócios em um desvio-padrão, a política reduziu a proporção de alunos de baixo desempenho em cerca de meio desvio-padrão. O terceiro artigo avalia como a diferenciação salarial criada por esta política afeta absenteísmo dos professores. Os resultados mostram que, após controlar efeitos fixos de professores e escolas, pagar um salário mais elevado (em média 26% a mais) provoca uma queda de 8-22% nas faltas dos professores. Ausências que não levam a desconto de salário, como por licenças médicas, não respondem à diferenciação salarial e o impacto é maior para os professores que recebem maior incentivo.

A teoria de Dienes no ensino de transformação de medidas de comprimento, área e volume no curso de pedagogia

The study was aimed to test a teaching module on the Zoltan Paul Dienes theory, focusing on the content: The transformation of measurements: length, areas and volumes. The study based on constructivist theory consisted in a methodological intervention with students of the 7th period of the Course of Pedagogy, in Central Campus, Federal University of Rio Grande do Norte (UFRN). A preliminary study with 40 students called diagnostic evaluation found that students did not understand the concept of measurements transformation and its processing steps. The latter was performed only with the help of the table of measurements transformation with no understanding of the content. He applied a pretest, a set of activities and a post-test. The latter was used as a tool for evaluation of the student learning process. The answers of these ones were evaluated according to the concept of reflective abstraction of Jean Piaget, one of the authors who influenced the Dienes theory

O currículo escolar: uma análise na perspectiva da inclusão de alunos com deficiência intelectual

A mid the many transformations and advances that the contemporary society is going through, the right to education is a topic that does not end and becomes increasingly present, given the urgency of including students with disabilities in education. Given this new reality, schools are challenged to receive them with quality, and implement actions that promote favorable conditions for their development at school. Accordingly, it is fundamental the organizational restructuring of education to meet the specific needs of students. Thus, it is imperative that educational institutions defining the type of person who intend to form and the society proposing to build. These are aspects that precede any question, since the knowledge covered in the curriculum will contribute directly to the creation of human beings are involved there. Based on this theme, this assignment reports aspects of a survey of a local public school, located in Natal/RN, which deals with the analysis of the curriculum and its implementation in teaching practice in the classroom, before the inclusion of students with disabilities intellectual. Thus, to undertake a study of case with five professionals at school, involving documentary analysis and observation of the curriculum of the pedagogical practice of teachers in the classroom, as well as conducting an interview with all stakeholders. To this end, the data analyzed shows that, although the right of citizens with disabilities is guaranteed by constitutional law, the school, locus of this study, have not realized the extent of conquest. Does not recognize the fact of being in school and learn together with others is also a right of persons with disabilities. Thus, while your resume is to present a progressive vision, believed to be open, concerned with the selection and organization of content, with flexibility in defining the goals, with the search for diversification of the procedures adopted, as well as the planning activities teaching and learning based on the level of student learning, this is not effective in teaching practice, either through ignorance of the guidelines defined either by lack of knowledge about the proposal and an inclusive curriculum can provide answers to all educational students, including those with intellectual disability

A formação de conceitos no ensino de graduação em enfermagem à luz da teoria da aprendizagem significativa

The Theory of Meaningful Learning (TML) described by David Paul Ausubel offers a proposal for the teaching strategies to provide a more active and effective student learning. The projection of the TML practice is demonstrated through the development of concept maps (CM) technique, created by Joseph Donald Novak, which presents as a strategy, method or schematic feature, which is an indicator to identify the cognitive organization of the knowledge acquired by students. The survey was conducted in the light of TML in relation to learning concepts involving students of undergraduate nursing in a public university in the state of Rio Grande do Norte. Thus, the study aimed to compare the concept learning of students of undergraduate nursing, when subjected to different forms of education, to point approaches that promote more effective and meaningful results. It was a quasi - experimental study with a qualitative analysis, conducted with students of the Undergraduate Nursing of the Universidade Federal do Rio Grande do Norte (UFRN), approved by the Research Ethics Committee/UFRN Certification of Presention for Ethics Appreciation (CPEA) in 11706412.3.0000.5537. The study took place at two different times and involved content on complications mediate postoperative surgical wound in the same discipline with students who attended the 5th semester of the degree course in Nursing. For the viability of data collection, in the second half of 2013, we used the technique of CM, to represent the concept of complications mediate postoperative surgical wound covered in the classroom. CM were built at a different time from that of the discipline, with the support of tutors and preceded by a brief description and explanation about the form of preparation and application. In this study were subjected, 31 students of undergraduate nursing, registered in the discipline of Integral Attention to health I. In the first stage, 18 students participated in the survey, they had the teaching intervention based on TML, and in the second stage, all students participated in the lesson provided curriculum with the responsible teacher of the subject, on the same issue occurred. At the end of each meeting, the students 11 developed concept maps with the aid of software Cmap Tools®. Data analysis happened upon the technique of content analysis, supported by a conceptual map "glass", previously developed by researchers and aid in the preparation of the categories in which the concepts found were classified. The study found that the teaching intervention based on TML with the help of CM, managed to develop in students a more expressive teaching learning process than just classroom curriculum with the traditional teaching method, and also that the association between the intervention motion teaching with the traditional method and the use of the technique of CM encourages the student the ability to articulate the various acquired knowledge as well as apply them in real situations

A influência do discurso do professor na motivação e na interação social em sala de aula

Estudos têm mostrado a importância das interações sociais desencadeadas em sala de aula como fundamentais para a aprendizagem dos alunos. Contudo, o professor deve ser capaz de motivar os estudantes para se envolverem mais ativamente com as atividades de ensino propostas. Este artigo apresenta os resultados de uma investigação sobre as interações sociais desenvolvidas no contexto de uma sala de aula do Ensino Médio, que explicou os princípios da conservação da energia mecânica com uma aula experimental de demonstração. O principal objetivo era entender como o discurso do professor pode contribuir para o bom nível de motivação do aluno durante uma aula. As entrevistas com professor e alunos e todo o processo de interação durante as atividades foram gravados, transcritos e analisados . Os resultados ressaltam a importância da abordagem discursiva dos professores para manter o processo de motivação entre os alunos.

Stabilizing a class of time delay systems using the Hermite-Biehler theorem

In this paper we use the Hermite-Biehler theorem to establish results for the design of fixed order controllers for a class of time delay systems. We extend results of the polynomial case to quasipolynomials using the property of interlacing in high frequencies of the class of time delay systems considered. (C) 2003 Elsevier B.V. All rights reserved.