The algebraic structure behind the derivative nonlinear Schrödinger equation

The Kaup-Newell (KN) hierarchy contains the derivative nonlinear Schrödinger equation (DNLSE) amongst others interesting and important nonlinear integrable equations. In this paper, a general higher grading affine algebraic construction of integrable hierarchies is proposed and the KN hierarchy is established in terms of an Ŝℓ2Kac-Moody algebra and principal gradation. In this form, our spectral problem is linear in the spectral parameter. The positive and negative flows are derived, showing that some interesting physical models arise from the same algebraic structure. For instance, the DNLSE is obtained as the second positive, while the Mikhailov model as the first negative flows. The equivalence between the latter and the massive Thirring model is also explicitly demonstrated. The algebraic dressing method is employed to construct soliton solutions in a systematic manner for all members of the hierarchy. Finally, the equivalence of the spectral problem introduced in this paper with the usual one, which is quadratic in the spectral parameter, is achieved by setting a particular automorphism of the affine algebra, which maps the homogeneous into principal gradation. © 2013 IOP Publishing Ltd.

Views and thinking regarding the application of computer technology for development in the ECLA region: draft for discussion

Includes bibliography

Report of the seminar on Caribbean development thinking the path covered and the way forward

The Economic Commission for Latin America and the Caribbean (ECLAC), Subregional Headquarters for the Caribbean, and secretariat of the Caribbean Development and Cooperation Committee (CDCC) convened a Seminar on Caribbean Development Thinking: The Path Covered and the Way Forward, in Port of Spain on 21 October 2009. The meeting was attended by representatives of the following CDCC member countries: Dominica, Grenada, Guyana, Jamaica, Saint Lucia, Saint Kitts and Nevis, Saint Vincent and the Grenadines, Suriname and Trinidad and Tobago. Representatives of the following organizations of the United Nations system also attended: the International Labour Organisation (ILO); Joint United Nations Project on HIV/AIDS (UNAIDS); and the United Nations Development Programme (UNDP). The following intergovernmental organizations were represented: the Caribbean Community (CARICOM); the Caribbean Development Bank (CDB); the Caribbean Regional Negotiating Mechanism/Caribbean Community (CRNM/CARICOM); Delegation of the European Commission in Trinidad and Tobago; the Organisation of American States (OAS); and the Organisation of Eastern Caribbean States (OECS). The University of the West Indies (UWI) also participated. The list of participants appears as annex I to this report.

Neostructuralism and heterodox thinking in Latin America and the Caribbean in the early twenty-first century

The thinking that has unilaterally dominated economic science for over five decades has recently come under intensive scrutiny and its validity and conceptual and empirical coherence are the subject of controversy. Thus the limitations of the prevailing paradigm for addressing the failures of free market economies have been laid bare. For Latin America and the Caribbean, these failures are structural in nature, as indeed structuralism proposed in its time. Neostructuralism delves more deeply into the issues addressed in structuralism, aiming to improve positioning in the international economy, boost productive employment creation, reduce structural heterogeneity and improve income distribution, while maintaining financial balances capable of sustaining changes in the sphere of production by means of social and State support. Far from being an insular system of thinking, neostructuralism is an open system that lends itself to dialogue with other philosophies that recognize the limitations of the dominant paradigm and object to its methodological monism. This book offers a fresh look at neostructuralism and heterodox thinking at the start of the twenty-first century. In a context shaped by the impacts of the worst economic and financial crisis since the Great Depression and by paradigmatic changes at the global level, it aims to carve out arenas for discussion between alternative lines of thinking in order to lay the foundations for a socioeconomically inclusive and environmentally sustainable model of development for the region.

Translation and cultural adaptation for Brazil of the Developing Nurses' Thinking model

OBJETIVOS:traduzir e adaptar culturalmente para a língua portuguesa do Brasil o modelo Developing Nurses' Thinking, utilizado como estratégia ao ensino do raciocínio clínico.MÉTODO:a tradução e adaptação cultural foi realizada por meio de tradução inicial, síntese das traduções, retrotradução, avaliação por comitê de especialistas e pré-teste com 33 estudantes de graduação em enfermagem.RESULTADOS:as etapas de tradução inicial, síntese das traduções e retrotradução foram realizadas a contento, havendo a necessidade de pequenos ajustes. Na avaliação pelo comitê de especialistas da versão traduzida, todos os itens obtiveram concordância superior a 80% na primeira rodada de avaliação e no pré-teste com os estudantes. O modelo mostrou-se adequado à sua finalidade.CONCLUSÃO:recomenda-se o uso do modelo como uma estratégia complementar ao ensino do raciocínio diagnóstico, visando a formação de enfermeiros mais conscientes sobre a tarefa diagnóstica e a importância da segurança do paciente.

Algebraic constructions of densest lattices

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Algebraic solution of an anisotropic nonquadratic potential

We show that an anisotropic nonquadratic potential, for which a path integral treatment has been recently discussed in the literature, possesses the SO(2, 1) ⊗SO(2, 1) ⊗SO(2, 1) dynamical symmetry, and construct its Green function algebraically. A particular case which generates new eigenvalues and eigenfunctions is also discussed. © 1990.

Algebraic solution of an anisotropic ring-shaped oscillator

Using an algebraic technique related to the SO (2, 1) group we construct the Green function for the potential ar2 + b(r sin θ)-2 + c(r cos θ)-2 + dr2 sin2θ + er2 cos2θ. The energy spectrum and the normalized wave functions are also obtained. © 1990.

Adoption of lean thinking practices at Brazilian auto part companies

The objective of this study is to analyze the adoption of lean thinking practices at Brazilian auto part companies. For such, a survey was conducted at 75 sector companies. The results reveal that among all practices, the “systematic search for continuous improvement" obtained the highest implementation average. In terms of correlation, interdependence was observed among all Lean Manufacturing variables, most especially between LM5 (Kanban) and LM6 (Just-in-Time). This correlation can be explained by the importance of Kanban systems when implementing Just-inTime.

O Raciocínio lógico-matemático: classificação e uso em concursos públicos

This study offers an analysis of classification of the main issues of logic and logical thinking found in competitive tendering and math tests, according to their concepts and characteristics, whether involving mathematics, or not. Moreover, a research on the evolutionary historic processes of logic according to three major crises of the foundations of mathematics was conducted. This research helped to define Logic as a science that is quite distinctive from Mathematics. In order to relate the logical and the mathematical thinking, three types of knowledge, according to Piaget, were presented, with the logical-mathematical one being among them. The study also includes an insight on the basic concepts of propositional and predicative logic, which aids in the classification of issues of logical thinking, formal logic or related to algebraic, and geometric or arithmetic knowledge, according to the Venn diagrams. Furthermore, the key problems - that are most frequently found in tests are resolved and classified, as it was previously described. As a result, the classification in question was created and exemplified with eighteen logic problems, duly solved and explained

Metodologias de Inovação: Soluções da TRIZ aplicadas em um ambiente design thinking

This work discusses the theories of TRIZ and Design Thinking, as well as the association of the two theories by a tool for the application of TRIZ in a Design Thinking environment. This work proposes the association of the theories by an easy and systematic method constituted by a step by step process. The objective of this work is to create a method that facilitates the application of the two innovation theories helping the inventors to develop new products without the necessity of being creative people. By the end of the work is shown the research case accomplished as an empirical analysis of this tool that can be a fast and efficient method to solve inventive problems focused in the expectations and necessities of the clients

Departmentalization in the 5th Grade Classroom: Re-thinking the Elementary School Model

In this action research study of my 5th grade classroom, I investigated the benefits of a modified block schedule and departmentalization. The research consisted of dividing the 5th grade curriculum into three blocks. Each block consisted of two primary subject areas: Mathematics was paired with Social Studies, Reading was paired with Health, and Writing was paired with Science. These groupings were designed to accommodate district time-allotment requirements and the strengths of each teacher within the 5th grade team. Thus, one teacher taught all of the Mathematics and Social Studies, another all of the Reading and Health, and another all of the Writing and Science. Students had classes with each teacher, each school day. I discovered that this departmentalization had many benefits to both students and teachers. As a result of this research, we plan to continue with our new schedule and further develop it to more fully exploit the educational and professional advantages we found to be a part of the project.