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    Sobre as funções Mittag-Leffler e o modelo fracionário de materiais viscoelásticos

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    Tese (doutorado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-Graduação em Mecânica.Materiais viscoelásticos são hoje largamente aplicados em vários ramos da engenharia, com destaque para a mecânica e aeroespacial. Uma das razões para tal popularidade reside na facilidade com que os materiais viscoelásticos são vulcanizados nas mais diferentes formas. Outra, é o fato de que inúmeros materiais básicos podem ter suas propriedades dinâmicas adequadas, mediante introdução de aditivos, às várias aplicações específicas. O Grupo PISA-LVA os vem estudando, bem como suas aplicações, há cerca de quinze anos, tendo já granjeado reputação internacional. Dentre as suas conquistas, cite-se, por importante no presente trabalho, o desenvolvimento de técnica para a identificação dos parâmetros do modelo fracionário dos materiais viscoelásticos. Esta técnica, já difundida internacionalmente, acabou por substituir, no âmbito do Grupo, com enormes vantagens, a da norma ASTM E 756 98. Esta técnica é toda estabelecida no domínio da freqüência. Surge naturalmente a questão: se esses parâmetros representam o material viscoelástico com excelente precisão, não seria correto utilizá-los para o cômputo de propriedades importantes, definidas no domínio do tempo, como creep, compression set e outras? Este trabalho pretende ser um passo inicial para responder a essas questões, entre outras. Revê os modelos de Maxell, Kelvin-Voigt e Linear Padrão (ou Zener), primeiro na forma clássica, a derivadas inteiras. Repete-se este estudo, agora permitindo que as derivadas tenham ordem fracionária. As equações resultantes são tratadas pela via da Transformada de Laplace. As soluções das equações resultantes envolvem as funções de Mittag-Leffler, notórias pelas dificuldades computacionais que apresentam, em certas circunstâncias. Embora inúmeros estudos e algoritmos tenham vindo recentemente à luz, parece, entretanto, que um algoritmo absolutamente robusto, infenso a toda e qualquer circunstância, ainda está para ser escrito. Como a função de creep é bem comportada para o computo numérico, procura-se calcular a função de relaxação de tensão por deconvolução. Uma outra saída, também aqui apresentada, é a da inversão numérica da transformada de Laplace. Os resultados dessas técnicas são cotejados com aqueles obtidos pelo cômputo direto da função de Mittag-Leffler, em casos em que há convergência

    Souvenirs d’enfance de Sophie Kovalewsky, écrits par elle-même, et suivis de sa biographie, par Mme A.-Ch. Leffler, duchesse de Cajanello

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    Leffler Anne-Charlotte. Souvenirs d’enfance de Sophie Kovalewsky, écrits par elle-même, et suivis de sa biographie, par Mme A.-Ch. Leffler, duchesse de Cajanello. In: Manuel général de l'instruction primaire : journal hebdomadaire des instituteurs. 62e année, tome 31, 1895. pp. 81-82

    From Bestselling Novelist to Forgotten Woman Writer: The Transcultural Circulation of Emilie Flygare-Carlén

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    The chapter investigated the transcultural dissemination and reception of the Swedish female novelist Emilie Flygare-Carlén. Starting by addressing some of the methodological problems connected to mapping the transcultural disemination of one of the most widely circulated novelist of the time,Leffler demonstrated how Scandinavian novels travelled along particular routes in Europe and the importance of being translated into German. The case of Flygare-Carlén demonstrates the importance of genre and gender at the mid- and late 19th century, and thereby also addresses some of the reasons behind today's discrepancies between a successful novelist's contemporary fame and future literary status in lietrary history

    Discrete Mittag-Leffler distributions

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    A new class of discrete distributions, namely discrete Mittag-Leffler distributions is introduced and its properties are studied. The discrete Mittag-Leffler distributions are the discrete analogue of Mittag-Leffler distributions and are generalizations of the geometric distribution. First-order autoregressive discrete Mittag-Leffler process is developed.Autoregressive process Mittag-Leffler distributions

    A Reason to Know

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    It is often thought that desire-based versions of reasons internalism, according to which our practical reasons depend on what we desire, are committed to denying that we have any categorical reasons. I shall argue, however, that such theories are committed to a universal desire which gives rise to an unexpected categorical reason – a reason to know our surroundings. I will arrive at this conclusion by using Fichte’s argument for thinking that security from unpredictable and powerful forces of nature is constitutive of agency. Fichte thinks this is the case because we ought to aim at knowledge of our surroundings, and such environments uniquely facilitate it. I show that his argument fails, but the point that we ought to aim at – or desire – such knowledge is fundamentally sound. This aim can then be leveraged to generate a categorical reason when embedded in an account of agency typically embraced by internalists

    Zombies Incorporated

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    How should we understand the relation between corporate agency, corporate moral agency and corporate moral patienthood? For some time, corporations have been treated as increasingly ontologically and morally sophisticated in the literature. To explore the limits of this treatment, I start off by redeveloping and defending a reductio that historically has been aimed at accounts of corporate agency which entail that corporations count as moral patients. More specifically, I argue that standard agents are due a certain type of moral concern, but corporate agents are not due that type of concern, so they are not agents of, at least, the standard type. Diagnosis: because corporations plausibly lack qualia, they are ‘zombie agents’ that mimic real agents. This explains why they are neither standard agents nor standard moral patients: they are not standard agents because they lack mental states, and because they lack experiences, they are, at best, morally notable rather than morally respectable. However, I then argue that we nevertheless have instrumental reasons to include them in our moral responsibility practices, both because that is what notability involves and bluffingly, and both when it comes to treating them as moral agents and as moral patients. Hence, we may treat corporations as part of our moral responsibility practices to a limited extent anyway

    , plight inescapability and corporate agency

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    Realists about group agency, according to whom corporate agents may have mental states and perform actions over and above those of their individual members, think that individual agents may switch between participating in individual and corporate agency. My aim is, however, to argue that the inescapability of individual agency spells out a difficulty for this kind of switching – and, therefore, for realism about corporate agency. To do so, I develop Korsgaard's notion of plight inescapability. On my take, it suggests that individual agents are continuously faced with fully exercising their own individual agency (absent external limits at the time of its exercise). But then individual agents may not switch to acting as members of corporate agents, in the sense of taking on irreducible mental states that differ from their own. As it nevertheless is possible to participate fully in the action of a corporate entity, this incompatibility between individual and corporate mental states suggests a challenge for group agent realism

    How Simple is the Humean Theory of Motivation?

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    In recent discussions of the Humean Theory of Motivation (HTM), several authors–not to mention other philosophers around the proverbial water cooler–have appealed to the simplicity of the theory to defend it. But the argument from simplicity has rarely been explicated or received much critical attention–until now. I begin by reconstructing the argument and then argue that it suffers from a number of problems. Most importantly, first, I argue that HTM is unlikely to be simpler than even close competing theories, and second, it is unlikely that a plausible version of the theory will be very simple. Moreover, I argue that a convincing case for HTM is likely to have to show that it is more virtuous than defenders have done so far

    Mittag‐Leffler state estimator design and synchronization analysis for fractional‐order BAM neural networks with time delays

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    This paper deals with the extended design of Mittag-Leffler state estimator and adaptive synchronization for fractional order BAM neural networks (FBNNs) with time delays. By the aid of Lyapunov direct approach and Razumikhin-type method a suitable fractional order Lyapunov functional is constructed and a new set of novel sufficient condition are derived to estimate the neuron states via available output measurements such that the ensuring estimator error system is globally Mittag-Leffler stable. Then, the adaptive feedback control rule is designed, under which the considered FBNNs can achieve Mittag-Leffler adaptive synchronization by means of some fractional order inequality techniques. Moreover, the adaptive feedback control may be utilized even when there is no ideal information from the system parameters. Finally, two numerical simulations are given to reveal the effectiveness of the theoretical consequences

    Mittag-leffler polynomials and properties

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    YÖK Tez No: 569716Bu tez beş bölümden oluşmaktadır. Birinci bölüm giriş kısmına ayrılmıştır. Bu tezin ne ile ilgili olduğuna dair kısa bir tanıtım ve Mittag-Leffler polinomlarının literatür özeti verilmiştir. İkinci bölümde önbilgiler ve diğer bölümlerde kullanılacak olan bazı tanımlar ve lemmalar verilmiştir. Üçüncü bölümde, Mittag-Leffler polinomu, deformed Mittag-Leffler polinomu ve modified Mittag-Leffler polinomunun tanımları ve bu polinomların özelliklerinden oluşmaktadır. Dördüncü bölümde Mittag-Leffler polinomu ve türleri için bilinear ve bilateral doğurucu fonksiyonlarını veren teoremler içerir. Burada verilen teoremlerin sonuçlarına ve uygulamalarına yer verilmiştir. Son bölümde bu tez için bazı sonuç ve öneriler sunulmuştur.This thesis consists of five chapters. The first section is devoted to the introduction. A brief introduction to what this thesis is about and the literature summary of Mittag Leffler polynomials are given. In the second part, some definitions and lemmas are given. In the third chapter, Mittag-Leffler polynomial, deformed Mittag-Leffler polynomial and modified Mittag-Leffler polynomial are defined and their properties are given. The fourth chapter contains theorems for the Mittag-Leffler polynomials and their types, which give bilinear and bilateral generating functions. The results and applications of the theorems given here are given. In the last chapter, some conclusions and recommendations are presented for this thesis
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