Kurzweil integral for Riesz space-valued functions: Uniform convergence theorem

Our objective here is to prove that the uniform convergence of a sequence of Kurzweil integrable functions implies the convergence of the sequence formed by its corresponding integrals.

The education of the body for an "integral soldier", "physically strong, intelligent and soul superior"

This study examines the paramilitary training carried out by the Integralist Militia (Militia Integralista), unit of the Brazilian Integralist Action (Acao Integralista Brasileira, AIB) of the extreme right wing political party in Brazil in the 1930s. The training was aimed to create the "integral soldier", a "physically strong, intelligent and soul superior" one. The study analyzes issues of the newspaper "Monitor Integralista", a prescriptive and dogmatic journal of the movement, found in the Public and History Archives of the city of Rio Claro, State of Sao Paulo, and in the "A Offensiva" newspaper, microfilmed an archived at the National Library of Rio de Janeiro. It concludes that Plinio Salgado's goal, the National Head of the AIB, was to train, by using verbal persuasion, speeches, word of mouth and by vote, by force and physical combat, the integralists to defend the causes of the movement.

Levy stable distributions via associated integral transform

We present a method of generation of exact and explicit forms of one-sided, heavy-tailed Levy stable probability distributions g(alpha)(x), 0 <= x < infinity, 0 < alpha < 1. We demonstrate that the knowledge of one such a distribution g a ( x) suffices to obtain exactly g(alpha)p ( x), p = 2, 3, .... Similarly, from known g(alpha)(x) and g(beta)(x), 0 < alpha, beta < 1, we obtain g(alpha beta)( x). The method is based on the construction of the integral operator, called Levy transform, which implements the above operations. For a rational, alpha = l/k with l < k, we reproduce in this manner many of the recently obtained exact results for g(l/k)(x). This approach can be also recast as an application of the Efros theorem for generalized Laplace convolutions. It relies solely on efficient definite integration. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4709443]

Asymptotic integral kernel for ensembles of random normal matrices with radial potentials

The method of steepest descent is used to study the integral kernel of a family of normal random matrix ensembles with eigenvalue distribution P-N (z(1), ... , z(N)) = Z(N)(-1)e(-N)Sigma(N)(i=1) V-alpha(z(i)) Pi(1 <= i<j <= N) vertical bar z(i) - z(j)vertical bar(2), where V-alpha(z) = vertical bar z vertical bar(alpha), z epsilon C and alpha epsilon inverted left perpendicular0, infinity inverted right perpendicular. Asymptotic formulas with error estimate on sectors are obtained. A corollary of these expansions is a scaling limit for the n-point function in terms of the integral kernel for the classical Segal-Bargmann space. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3688293]

On a new class of abstract integral equations and applications

In this paper we introduce a new class of abstract integral equations which enables us to study in a unified manner several different types of differential equations. (C) 2012 Elsevier Inc. All rights reserved.

Integral form of Yang-Mills equations and its gauge invariant conserved charges

Despite the fact that the integral form of the equations of classical electrodynamics is well known, the same is not true for non-Abelian gauge theories. The aim of the present paper is threefold. First, we present the integral form of the classical Yang-Mills equations in the presence of sources and then use it to solve the long-standing problem of constructing conserved charges, for any field configuration, which are invariant under general gauge transformations and not only under transformations that go to a constant at spatial infinity. The construction is based on concepts in loop spaces and on a generalization of the non-Abelian Stokes theorem for two-form connections. The third goal of the paper is to present the integral form of the self-dual Yang-Mills equations and calculate the conserved charges associated with them. The charges are explicitly evaluated for the cases of monopoles, dyons, instantons and merons, and we show that in many cases those charges must be quantized. Our results are important in the understanding of global properties of non-Abelian gauge theories.

MATHEMATICAL MODELS AND POLYHEDRAL STUDIES FOR INTEGRAL SHEET METAL DESIGN

We deal with the optimization of the production of branched sheet metal products. New forming techniques for sheet metal give rise to a wide variety of possible profiles and possible ways of production. In particular, we show how the problem of producing a given profile geometry can be modeled as a discrete optimization problem. We provide a theoretical analysis of the model in order to improve its solution time. In this context we give the complete convex hull description of some substructures of the underlying polyhedron. Moreover, we introduce a new class of facet-defining inequalities that represent connectivity constraints for the profile and show how these inequalities can be separated in polynomial time. Finally, we present numerical results for various test instances, both real-world and academic examples.

K-41(n, gamma)K-42 thermal and resonance integral cross section measurements

We measured the K-41 thermal neutron absorption and resonance integral cross sections after the irradiation of KNO3 samples near the core of the IEA-R1 IPEN pool-type research reactor. Bare and cadmium-covered targets were irradiated in pairs with Au-Al alloy flux-monitors. The residual activities were measured by gamma-ray spectroscopy with a HPGe detector, with special care to avoid the K-42 decay beta(-) emission effects on the spectra. The gamma-ray self-absorption was corrected with the help of MCNP simulations. We applied the Westcott formalism in the average neutron flux determination and calculated the depression coefficients for thermal and epithermal neutrons due to the sample thickness with analytical approximations. We obtained 1.57(4) and 1.02(4) b, for thermal and resonance integral cross sections, respectively, with correlation coefficient equal to 0.39.

Avaliação da qualidade tecnológica de snacks obtidos por extrusão de grão integral de amaranto ou de farinha de amaranto desengordurada e suas misturas com fubá de milho

Apesar dos benefícios nutricionais e de seu potencial como alimento funcional, o amaranto ainda é um alimento pouco difundido no Brasil. Para o aumento do consumo desta matéria-prima, preconiza-se a sua incorporação na formulação de produtos convencionais, como os snacks extrudados que vêm sendo elaborados com a farinha de amaranto desengordurada. Pouco tem sido pesquisado sobre a extrusão direta do grão integral de amaranto, o que permitiria eliminar as etapas de moagem e de desengorduramento. Assim, a pesquisa avaliou e comparou a qualidade tecnológica de snacks obtidos por extrusão de grão integral de amaranto e de farinha de amaranto desengordurada, e suas misturas com 25 e 50% de fubá de milho. Verificou-se que o teor de lipídeos presentes no grão de amaranto (8%) prejudicou a expansão e a textura dos extrudados. Mesmo com a adição de fubá de milho, os snacks extrudados à base de grão integral de amaranto foram rejeitados sensorialmente (aceitação global entre 3 e 4, numa escala hedônica estruturada de nove pontos), pois apresentaram baixa expansão, textura dura, cor escura e forte sabor residual. Já os snacks extrudados obtidos com farinha de amaranto desengordurada isoladamente e em combinação com fubá de milho apresentaram maior expansão, textura crocante e cor mais clara, e, por isso, maior aceitabilidade (aceitação global > 5). Conclui-se, nas condições do experimento, que não foi possível obter snacks extrudados à base de grãos de amaranto de boa aceitação e que a produção de snacks extrudados à base de farinha de amaranto desengordurada proporciona produtos com melhor aceitação por parte do consumidor.

Sharp estimates for eigenvalues of integral operators generated by dot product kernels on the sphere

We obtain explicit formulas for the eigenvalues of integral operators generated by continuous dot product kernels defined on the sphere via the usual gamma function. Using them, we present both, a procedure to describe sharp bounds for the eigenvalues and their asymptotic behavior near 0. We illustrate our results with examples, among them the integral operator generated by a Gaussian kernel. Finally, we sketch complex versions of our results to cover the cases when the sphere sits in a Hermitian space.