986 resultados para Integral work
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Thèse numérisée par la Division de la gestion de documents et des archives de l'Université de Montréal
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In this work, we consider the numerical solution of a large eigenvalue problem resulting from a finite rank discretization of an integral operator. We are interested in computing a few eigenpairs, with an iterative method, so a matrix representation that allows for fast matrix-vector products is required. Hierarchical matrices are appropriate for this setting, and also provide cheap LU decompositions required in the spectral transformation technique. We illustrate the use of freely available software tools to address the problem, in particular SLEPc for the eigensolvers and HLib for the construction of H-matrices. The numerical tests are performed using an astrophysics application. Results show the benefits of the data-sparse representation compared to standard storage schemes, in terms of computational cost as well as memory requirements.
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A hierarchical matrix is an efficient data-sparse representation of a matrix, especially useful for large dimensional problems. It consists of low-rank subblocks leading to low memory requirements as well as inexpensive computational costs. In this work, we discuss the use of the hierarchical matrix technique in the numerical solution of a large scale eigenvalue problem arising from a finite rank discretization of an integral operator. The operator is of convolution type, it is defined through the first exponential-integral function and, hence, it is weakly singular. We develop analytical expressions for the approximate degenerate kernels and deduce error upper bounds for these approximations. Some computational results illustrating the efficiency and robustness of the approach are presented.
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O presente relatório insere-se no âmbito da unidade curricular de Prática de Ensino Supervisionada. É um trabalho individual de síntese e de reflexão fundamentada sobre o percurso realizado no estágio, e de investigação com vista à resolução de problemas e conhecimento da realidade das práticas educativas do sistema de ensino especializado de música. Deste modo, é definido o quadro contextual sobre a evolução deste sistema de ensino e as complexidades que o têm caraterizado, o desenvolvimento curricular, particularmente o lugar que a disciplina de Formação Musical ocupa no currículo, e o Conservatório de Música de Paredes. Sobre o percurso formativo desempenhado nesta instituição educativa e sobre os dados recolhidos da observação naturalista não participante das aulas de duas turmas do ensino articulado, é elaborada uma reflexão crítica fundamentada, relativamente a todos os processos didáticos e pedagógicos. Complementarmente é apresentado um projeto de investigação qualitativa realizado no âmbito da unidade curricular de Seminário de Investigação em ensino de Música, tendo em vista a contribuição para uma prática pedagógica mais enriquecida, informada e fundamentada. O objeto de estudo está relacionado com a área disciplinar de Formação Musical, sob o tema Audição Harmónica: importância e estratégias para um desenvolvimento auditivo integral. Os objetivos do projeto visam verificar: i) quais os recursos utilizados e as estratégias e metodologias de ensino praticadas nas aulas de Formação Musical para o desenvolvimento da audição harmónica; ii) quais os objetivos e conteúdos contemplados nos programas da mesma disciplina; iii) que atividades são sugeridas em alguns manuais de Formação Musical. Os dados obtidos permitiram verificar que, apesar da importância atribuída à audição harmónica na formação de músicos, esta competência representa uma das maiores dificuldades dos alunos e, no âmbito da Formação Musical, há pouca diversidade de vivências, experiências musicais e outras atividades contextualizadas musicalmente.
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Marine ecosystem can be considered a rather exploited source of natural substances with enormous bioactive potential. In Mexico macro-algae study remain forgotten for research and economic purposes besides the high amount of this resource along the west and east coast. For that reason the Bioferinery Group of the Autonomous University of Coahuila, have been studying the biorefinery concept in order to recover high value byproducts of Mexican brown macro-algae including polysaccharides and enzymes to be applied in food, pharmaceutical and energy industry. Brown macroalgae are an important source of fucoidan, alginate and laminarin which comprise a complex group of macromolecules with a wide range of important biological properties such as anticoagulant, antioxidant, antitumoral and antiviral and also as rich source of fermentable sugars for enzymes production. Additionally, specific enzymes able to degrade algae matrix (fucosidases, sulfatases, aliginases, etc) are important tools to establish structural characteristics and biological functions of these polysaccharides. The aims of the present work were the integral study of bioprocess for macroalgae biomass exploitation by the use of green technologies as hydrothermal extraction and solid state fermentation in order to produce polysaccharides and enzymes (fucoidan and fucoidan hydrolytic enzymes). This work comprises the use of the different bioprocess phases in order to produce high value products with lower time and wastes.
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This work reports the implementation and verification of a new so lver in OpenFOAM® open source computational library, able to cope with integral viscoelastic models based on the integral upper-convected Maxwell model. The code is verified through the comparison of its predictions with analytical solutions and numerical results obtained with the differential upper-convected Maxwell model
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The usual high cost of commercial codes, and some technical limitations, clearly limits the employment of numerical modelling tools in both industry and academia. Consequently, the number of companies that use numerical code is limited and there a lot of effort put on the development and maintenance of in-house academic based codes. Having in mind the potential of using numerical modelling tools as a design aid, of both products and processes, different research teams have been contributing to the development of open source codes/libraries. In this framework, any individual can take advantage of the available code capabilities and/or implement additional features based on his specific needs. These type of codes are usually developed by large communities, which provide improvements and new features in their specific fields of research, thus increasing significantly the code development process. Among others, OpenFOAM® multi-physics computational library, developed by a very large and dynamic community, nowadays comprises several features usually only available in their commercial counterparts; e.g. dynamic meshes, large diversity of complex physical models, parallelization, multiphase models, to name just a few. This computational library is developed in C++ and makes use of most of all language capabilities to facilitate the implementation of new functionalities. Concerning the field of computational rheology, OpenFOAM® solvers were recently developed to deal with the most relevant differential viscoelastic rheological models, and stabilization techniques are currently being verified. This work describes the implementation of a new solver in OpenFOAM® library, able to cope with integral viscoelastic models based on the deformation field method. The implemented solver is verified through the comparison of the predicted results with analytical solutions, results published in the literature and by using the Method of Manufactured Solutions.
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The usual high cost of commercial codes, and some technical limitations, clearly limits the employment of numerical modelling tools in both industry and academia. Consequently, the number of companies that use numerical code is limited and there a lot of effort put on the development and maintenance of in-house academic based codes . Having in mind the potential of using numerical modelling tools as a design aid, of both products and processes, different research teams have been contributing to the development of open source codes/libraries. In this framework, any individual can take advantage of the available code capabilities and/or implement additional features based on his specific needs. These type of codes are usually developed by large communities, which provide improvements and new features in their specific fields of research, thus increasing significantly the code development process. Among others, OpenFOAM® multi-physics computational library, developed by a very large and dynamic community, nowadays comprises several features usually only available in their commercial counterparts; e.g. dynamic meshes, large diversity of complex physical models, parallelization, multiphase models, to name just a few. This computational library is developed in C++ and makes use of most of all language capabilities to facilitate the implementation of new functionalities. Concerning the field of computational rheology, OpenFOAM® solvers were recently developed to deal with the most relevant differential viscoelastic rheological models, and stabilization techniques are currently being verified. This work describes the implementation of a new solver in OpenFOAM® library, able to cope with integral viscoelastic models based on the deformation field method. The implemented solver is verified through the comparison of the predicted results with analytical solutions, results published in the literature and by using the Method of Manufactured Solutions
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En aquest treball es tracten qüestions de la geometria integral clàssica a l'espai hiperbòlic i projectiu complex i a l'espai hermític estàndard, els anomenats espais de curvatura holomorfa constant. La geometria integral clàssica estudia, entre d'altres, l'expressió en termes geomètrics de la mesura de plans que tallen un domini convex fixat de l'espai euclidià. Aquesta expressió es dóna en termes de les integrals de curvatura mitja. Un dels resultats principals d'aquest treball expressa la mesura de plans complexos que tallen un domini fixat a l'espai hiperbòlic complex, en termes del que definim com volums intrínsecs hermítics, que generalitzen les integrals de curvatura mitja. Una altra de les preguntes que tracta la geometria integral clàssica és: donat un domini convex i l'espai de plans, com s'expressa la integral de la s-èssima integral de curvatura mitja del convex intersecció entre un pla i el convex fixat? A l'espai euclidià, a l'espai projectiu i hiperbòlic reals, aquesta integral correspon amb la s-èssima integral de curvatura mitja del convex inicial: se satisfà una propietat de reproductibitat, que no es té en els espais de curvatura holomorfa constant. En el treball donem l'expressió explícita de la integral de la curvatura mitja quan integrem sobre l'espai de plans complexos. L'expressem en termes de la integral de curvatura mitja del domini inicial i de la integral de la curvatura normal en una direcció especial: l'obtinguda en aplicar l'estructura complexa al vector normal. La motivació per estudiar els espais de curvatura holomorfa constant i, en particular, l'espai hiperbòlic complex, es troba en l'estudi del següent problema clàssic en geometria. Quin valor pren el quocient entre l'àrea i el perímetre per a successions de figures convexes del pla que creixen tendint a omplir-lo? Fins ara es coneixia el comportament d'aquest quocient en els espais de curvatura seccional negativa i que a l'espai hiperbòlic real les fites obtingudes són òptimes. Aquí provem que a l'espai hiperbòlic complex, les cotes generals no són òptimes i optimitzem la superior.
Application of standard and refined heat balance integral methods to one-dimensional Stefan problems
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The work in this paper concerns the study of conventional and refined heat balance integral methods for a number of phase change problems. These include standard test problems, both with one and two phase changes, which have exact solutions to enable us to test the accuracy of the approximate solutions. We also consider situations where no analytical solution is available and compare these to numerical solutions. It is popular to use a quadratic profile as an approximation of the temperature, but we show that a cubic profile, seldom considered in the literature, is far more accurate in most circumstances. In addition, the refined integral method can give greater improvement still and we develop a variation on this method which turns out to be optimal in some cases. We assess which integral method is better for various problems, showing that it is largely dependent on the specified boundary conditions.
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En el període 2006-2008, l'equip investigador de l'Observatori sobre la Didàctica de les Arts (ODAS) s'ha concentrat en la innovació i la investigació en el camp de la didàctica aplicada als estudis universitaris de les arts. Des del punt de vista propi de la investigació-acció, la finalitat ha estat la de plantejar i explorar una revisió integral de l'organització del treball a peu d'aula que fos extensible a d'altres assignatures i matèries. Així, prenent com a eix l'aprenentatge dels estudiants, les accions escomeses es fonamentaren en sis premisses: integració —de sessions de treball i activitats d'aprenentatge—, diversitat —d'escenaris, recursos i materials didàctics—, equilibri —entre coneixements i habilitats específiques i transversals—, modularitat —de les parts constitutives de la innovació proposada—, aplicabilitat —a d'altres assignatures i matèries— i progressió en la seva posada en marxa. I sobre aquestes bases, hom va establir cinc línies de treball: l'organització del treball a l'aula i del treball guiat de l'estudiant en diferents tipus de sessions, l'organització del treball autònom de l'alumne des dels pressupòsits d'una avaluació continuada, la incorporació de les TIC com autèntics recursos d'ensenyament-aprenentatge, la col·laboració amb d'altres unitats de la Universitat de Barcelona que tinguessin entre els seus objectius l'impuls de l'aprenentatge, i el seguiment del procés d'implantació de la iniciativa didàctica i l'anàlisi regular dels seus resultats. Pel que fa a aquest darrer punt, en aquest primer període, hom ha prioritzat l'estudi de les dades quantitatives i quasi-quantitatives derivades del judici dels alumnes que participaren en la nova proposta didàctica. En conseqüència, la investigació va acomplir una primera funció diagnòstica de la innovació docent duta a terme, i es va enquadrar en la categoria dels estudis descriptius transversals a través d'enquestes amb mostres probabilístiques.
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El projecte ha consistit en el disseny d'un sistema de gestió de recursos humans basat en competències. En concret, el projecte s'ha realitzat a l'empresa on treballo en l'actualitat, i s'ha basat en la descripció de les funcions i competències necessàries per a cadascuna de les professions de l'organització, la definició d'aquestes competències i les conductes associades al seu acompliment i l'establiment d'un sistema d'avaluació d'aquestes competències.
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El desenvolupament del càlcul diferencial i integral com a disciplina científica a Europa durant el segle XVIII no és un tema nou. Però s’ha acostumat a enfocar la visió d’aquesta formació molt sovint des del “centre” i a partir de les grans figures com Isaac Newton o Gottfried Wilhelm Leibniz. En el present treball el protagonista potser, per a molts, no és una figura de primera línia; Tomàs Cerdà, és un ensenyant a Barcelona i a Madrid durant la segona meitat del segle XVIII, que “tradueix” al castellà autors anglesos, però que amb la seva pràctica està realment introduint el nou càlcul a Espanya i donant, de fet, una orientació d’aquesta nova disciplina als seus deixebles. El com i per què Cerdà decideix quin serà el seu guia en la introducció del càlcul diferencial i integral i quines seran les seves pròpies aportacions en aquesta labor seran els temes centrals del nostre treball. La nostra tasca ha anat, així doncs, a entendre millor, el procés de divulgació del coneixement científic, veient-lo en tot moment com formant part activa del mateix procés de construcció d’aquest coneixement.
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This article focuses on work disability and sick leave and their cost; it also discusses the value of vocational rehabilitation programmes in rheumatic conditions such as rheumatoid arthritis, ankylosing spondylitis, hip and knee osteoarthritis. It acknowledges the importance of work not only for the worker who has one of these diseases but also for the public purse. Much can be done to improve the health of the persons and reduce their disability and its impact in the workplace which will have an important effect on their and their family's quality of life. It is important that neither rehabilitation nor vocational rehabilitation are regarded as bolt-on activities after drug treatment but are seen as an integral part of effective management. Publications dealing with return to work are relatively common in rheumatoid arthritis, less common in ankylosing spondylitis and relatively rare in osteoarthritis. Vocational rehabilitation programmes should aim to facilitate job retention or, failing that, to improve the ability to return to work. The process must be started with in the health arena and it has to be recognised that slow or poor practice in the health service can jeopardise the patient's work potential
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In this work we develop the canonical formalism for constrained systems with a finite number of degrees of freedom by making use of the PoincarCartan integral invariant method. A set of variables suitable for the reduction to the physical ones can be obtained by means of a canonical transformation. From the invariance of the PoincarCartan integral under canonical transformations we get the form of the equations of motion for the physical variables of the system.