On q-Deformed Supersymmetric Classical Mechanical Models

Based on the idea of quantum groups and paragrassmann variables, we presenta generalization of supersymmetric classical mechanics with a deformation parameter $q= \exp{\frac{2 \pi i}{k}}$ dealing with the $k =3$ case. The coordinates of the $q$-superspace are a commuting parameter $t$ and a paragrassmann variable $\theta$, where $$. The generator and covariant derivative are obtained, as well as the action for some possible superfields.Comment: No figures, 14 pages, Latex, revised versio

2D Fractional Supersymmetry for Rational Conformal Field Theory. Application for Third-Integer Spin States

A 2D- fractional supersymmetry theory is algebraically constructed. The Lagrangian is derived using an adapted superspace including, in addition to a scalar field, two fields with spins 1/3,2/3. This theory turns out to be a rational conformal field theory. The symmetry of this model goes beyond the super Virasoro algebra and connects these third-integer spin states. Besides the stress-momentum tensor, we obtain a supercurrent of spin 4/3. Cubic relations are involved in order to close the algebra; the basic algebra is no longer a Lie or a super-Lie algebra. The central charge of this model is found to be 5/3. Finally, we analyse the form that a local invariant action should take.Comment: LaTex, 20 pages. Revised in response to referees' Comment

Fractional Supersymmetry and Infinite Dimensional Lie Algebras

In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation \D of any Lie algebra \g. Here it is shown how infinite dimensional Lie algebras appear naturally within the framework of fractional supersymmetry. Using a differential realization of \g this infinite dimensional Lie algebra, containing the Lie algebra \g as a sub-algebra, is explicitly constructed.Comment: 8 pages, D.V.Volkov Memorial Conference ``Supersymmetry and Quantum Field Theory'', Kharkov, July 25-29, 2000), two figure

Intervención en Medio Piura

Mediante la actuación que aquí planteamos pretendemos mejorar notoriamente las condiciones de habitabilidad, de desarrollo personal y económicas de Medio Piura en la ciudad de Piura, Perú, por medio de toda una serie de actuaciones y en colaboración con la Universidad de Piura. Medio Piura está formado por una serie de doce asentamientos dispersos de pequeña escala al norte de la ciudad. Estas actuaciones tienen la pretensión de poder ser implantadas en el contexto y entorno reales y llevarse a cabo de una forma eficaz y barata, lo cual es uno de los pilares básicos de la disciplina. Para ello se desarrollarán proyectos de actuación a tres escalas distintas, siendo éstas: territorial, de emplazamiento y de caserío. Se busca la solución de ciertos problemas básicos a lo largo de todo el Medio Piura, sin embargo, gran parte de los esfuerzos se centrarán en un punto concreto entre dos caseríos que hemos considerado especialmente desfavorables. Pero, a su vez, con las potencialidades oportunas para convertirse en un motor impulsor de toda su zona de influencia. Este proyecto pretende ser un precedente en el entorno a partir del cual se comience a desarrollar, mejorar y consolidar todo el territorio circundante, llegando como culmen a la formación de uno o varios caseríos totalmente consolidados en el ámbito lineal de Medio Piura y con unas buenas condiciones de habitabilidad, conexión y desarrollo

Lagrangian and Hamiltonian Formalism on a Quantum Plane

We examine the problem of defining Lagrangian and Hamiltonian mechanics for a particle moving on a quantum plane $Q_{q,p}$. For Lagrangian mechanics, we first define a tangent quantum plane $TQ_{q,p}$ spanned by noncommuting particle coordinates and velocities. Using techniques similar to those of Wess and Zumino, we construct two different differential calculi on $TQ_{q,p}$. These two differential calculi can in principle give rise to two different particle dynamics, starting from a single Lagrangian. For Hamiltonian mechanics, we define a phase space $T^*Q_{q,p}$ spanned by noncommuting particle coordinates and momenta. The commutation relations for the momenta can be determined only after knowing their functional dependence on coordinates and velocities. Thus these commutation relations, as well as the differential calculus on $T^*Q_{q,p}$, depend on the initial choice of Lagrangian. We obtain the deformed Hamilton's equations of motion and the deformed Poisson brackets, and their definitions also depend on our initial choice of Lagrangian. We illustrate these ideas for two sample Lagrangians. The first system we examine corresponds to that of a nonrelativistic particle in a scalar potential. The other Lagrangian we consider is first order in time derivative

On supersymmetric quantum mechanics

This paper constitutes a review on N=2 fractional supersymmetric Quantum Mechanics of order k. The presentation is based on the introduction of a generalized Weyl-Heisenberg algebra W_k. It is shown how a general Hamiltonian can be associated with the algebra W_k. This general Hamiltonian covers various supersymmetrical versions of dynamical systems (Morse system, Poschl-Teller system, fractional supersymmetric oscillator of order k, etc.). The case of ordinary supersymmetric Quantum Mechanics corresponds to k=2. A connection between fractional supersymmetric Quantum Mechanics and ordinary supersymmetric Quantum Mechanics is briefly described. A realization of the algebra W_k, of the N=2 supercharges and of the corresponding Hamiltonian is given in terms of deformed-bosons and k-fermions as well as in terms of differential operators.Comment: Review paper (31 pages) to be published in: Fundamental World of Quantum Chemistry, A Tribute to the Memory of Per-Olov Lowdin, Volume 3, E. Brandas and E.S. Kryachko (Eds.), Springer-Verlag, Berlin, 200

One-dimensional convolutional neural network model for breast cancer subtypes classification and biochemical content evaluation using micro-FTIR hyperspectral images

Breast cancer treatment still remains a challenge, where molecular subtypes classification plays a crucial role in selecting appropriate and specific therapy. The four subtypes are Luminal A (LA), Luminal B (LB), HER2 subtype, and Triple-Negative Breast Cancer (TNBC). Immunohistochemistry is the gold-standard evaluation, although interobserver variations are reported and molecular signatures identification is time-consuming. Fourier transform infrared micro-spectroscopy with machine learning approaches have been used to evaluate cancer samples, presenting biochemical-related explainability. However, this explainability is harder when using deep learning. This study created a 1D deep learning tool for breast cancer subtype evaluation and biochemical contribution. Sixty hyperspectral images were acquired from a human breast cancer microarray. K-Means clustering was applied to select tissue and paraffin spectra. CaReNet-V1, a novel 1D convolutional neural network, was developed to classify breast cancer (CA) and adjacent tissue (AT), and molecular subtypes. A 1D adaptation of Grad-CAM was applied to assess the biochemical impact to the classifications. CaReNet-V1 effectively classified CA and AT (test accuracy of 0.89), as well as HER2 and TNBC subtypes (0.83 and 0.86), with greater difficulty for LA and LB (0.74 and 0.68). The model enabled the evaluation of the most contributing wavenumbers to the predictions, providing a direct relationship with the biochemical content. Therefore, CaReNet-V1 and hyperspectral images is a potential approach for breast cancer biopsies assessment, providing additional information to the pathology report. Biochemical content impact feature may be used for other studies, such as treatment efficacy evaluation and development new diagnostics and therapeutic methods.Comment: 23 pages, 5 figures, 2 table

Dual-path convolutional neural network using micro-FTIR imaging to predict breast cancer subtypes and biomarkers levels: estrogen receptor, progesterone receptor, HER2 and Ki67

Breast cancer molecular subtypes classification plays an import role to sort patients with divergent prognosis. The biomarkers used are Estrogen Receptor (ER), Progesterone Receptor (PR), HER2, and Ki67. Based on these biomarkers expression levels, subtypes are classified as Luminal A (LA), Luminal B (LB), HER2 subtype, and Triple-Negative Breast Cancer (TNBC). Immunohistochemistry is used to classify subtypes, although interlaboratory and interobserver variations can affect its accuracy, besides being a time-consuming technique. The Fourier transform infrared micro-spectroscopy may be coupled with deep learning for cancer evaluation, where there is still a lack of studies for subtypes and biomarker levels prediction. This study presents a novel 2D deep learning approach to achieve these predictions. Sixty micro-FTIR images of 320x320 pixels were collected from a human breast biopsies microarray. Data were clustered by K-means, preprocessed and 32x32 patches were generated using a fully automated approach. CaReNet-V2, a novel convolutional neural network, was developed to classify breast cancer (CA) vs adjacent tissue (AT) and molecular subtypes, and to predict biomarkers level. The clustering method enabled to remove non-tissue pixels. Test accuracies for CA vs AT and subtype were above 0.84. The model enabled the prediction of ER, PR, and HER2 levels, where borderline values showed lower performance (minimum accuracy of 0.54). Ki67 percentage regression demonstrated a mean error of 3.6%. Thus, CaReNet-V2 is a potential technique for breast cancer biopsies evaluation, standing out as a screening analysis technique and helping to prioritize patients.Comment: 32 pages, 3 figures, 6 table

A influência do Lean na rotina de execução da manutenção portuária: estudo de caso Vale

A dissertação avalia a influência do Lean e sua prática no sistema de produção de uma empresa do setor de mineração na área de execução da manutenção portuária. Apesar de existirem estudos sobre a aplicação do Lean nas rotinas de manutenção, notase, nestes mesmos estudos, a existência de lacunas a serem aprofundadas ou a serem estudadas, como por exemplo no setor de mineração ou na rotina de execução da manutenção portuária. A pesquisa teve como principal objetivo analisar a influência do Lean no Sistema de Produção Vale (VPS) e sua prática na Gerência de Execução da Manutenção Portuária Mfe e, consequentemente, seus benefícios. A pesquisa desenvolveu-se através do estudo de caso, estruturada através da revisão bibliográfica sobre o tema com abordagem descrita e qualitativa quanto a compreensão e explicação dos fatos, decorrentes das observações realizadas. A pesquisa compreende o período temporal entre Janeiro de 2017 e Dezembro de 2017. Exposto o objetivo da pesquisa, este foi alcançado, visto que a aplicação da prática do VPS encontra-se de acordo com os conceitos e métodos referenciados no Lean, suportados pelos resultados alcançados.The dissertation evaluates the influence of Lean and its practice on the production system of a mining company in the area of execution of port maintenance. Although there are studies about the application of Lean in the maintenance, there are gaps to be deepened and areas not yet studied, such as port maintenance execution. Therefore, the main objective of the research was to analyze the influence of Lean on the Vale Production System (VPS) and its practice in the Gerência de Execução da Manutenção Portuária Mfe and, consequently, its benefits. The research was developed through the case study, structured through the bibliographic review on the subject with a described and qualitative approach regarding the understanding and explanation of the facts, resulting from the observations made. The survey covers the period between January 2017 and December 2017. The objective of the research was reached, whereas the application of the VPS practice is in line accordance with the concepts and methods referenced in the Lean, supported by the results achieved