Дисертації: "Möbiu"

1

DI, GRAVINA LUCA MARIA. "Some questions about the Möbius function of finite linear groups." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/371474.

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La funzione di Möbius definita per insiemi parzialmente ordinati localmente finiti è un classico strumento di analisi combinatoria. Si tratta di una generalizzazione della funzione di Möbius nota in teoria dei numeri e ha varie applicazioni pure in teoria dei gruppi, dalla caratteristica di Eulero di complessi di sottogruppi fino allo studio di aspetti algebrici in automi cellulari. Nella prima parte della tesi richiamiamo alcune informazioni elementari per strutture d'ordine che sono legate alla funzione di Möbius, e ne presentiamo le principali proprietà, quali ad esempio la formula di inversione di Möbius e i teoremi di Crapo. Inoltre analizziamo alcuni legami importanti con argomenti di teoria dei gruppi, al fine di motivare il nostro interesse nei confronti della funzione di Möbius di gruppi lineari finiti. Nella seconda parte, lavoriamo su questi gruppi per studiarne la funzione di Möbius e otteniamo risultati originali che si rivelano utili per calcolarla, nota la struttura di alcuni particolari reticoli di sottospazi associati ai sottogruppi. Vediamo in dettaglio il caso in cui abbiamo un reticolo di sottospazi distributivo. In seguito mostriamo un esempio di sottogruppo del gruppo lineare generale, tale che il reticolo di sottospazi associato al sottogruppo non è distributivo. In questo modo osserviamo che i nostri ragionamenti hanno una validità più ampia e possono essere applicati a situazioni differenti, sotto determinate condizioni. Nell'ultima parte della tesi, colleghiamo i risultati ottenuti in precedenza ad alcune questioni aperte che riguardano gruppi profiniti finitamente generati e gruppi finiti almost-simple, presentando un approccio originale al problema. Benché poi questo problema non venga completamente risolto, otteniamo degli utili risultati parziali che possono essere sviluppati in futuro.
The Möbius function of locally finite partially ordered sets is a classical tool in enumerative combinatorics. It is a generalization of the number-theoretic Möbius function and it has several applications in group theory, from the Euler characteristic of subgroup complexes to algebraic aspects of cellular automata. In the first part of the thesis, we recall some basic notions about the order structures which are related to the Möbius function, and we present its main properties, such as the Möbius inversion formula and Crapo's theorems. Moreover, we investigate some relevant connections with group-theoretical topics to motivate our interest in the Möbius function of finite linear groups. In the second part, we work on these groups to obtain information about their Möbius function, and our original results are useful to compute it if we know the structure of some special subspace lattices related to subgroups. We study in detail the case of distributive subspace lattices. Then we show an example of a subgroup in the general linear group, such that the subspace lattice associated to the subgroup is non-distributive. In this way, we see that our arguments can also be applied to different situations, under certain conditions. In the last part of the thesis, we connect the previously obtained results to an open question about finitely generated profinite groups and finite almost-simple groups, introducing an original approach to the problem. Although we do not completely answer to this last question, we get some useful partial results.

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2

Graziani, Lorenzo. "Un groviglio di mondi. Studio sul pluralismo fisico, metafisico e letterario postmoderno." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/260546.

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The main goal of this PhD dissertation is to explore the relation between postmodern poetics and some features of other theories developed at the same time in various areas of knowledge – mainly metaphysics, physics and sociology. If we can say that the modern paradigm was born with the question of how a multiplicity of different points of view could coexist, the postmodern paradigm seems to arise with the awareness that a systematic legitimation of differences cannot be based on a sole foundation that leads to a complete inclusion. For this reason, we argue that the concept of possible world is not only a useful heuristic metaphor adopted in different areas of the artistic and scientific postmodern culture, but it can put in constructive conversation different areas of knowledge which are usually thought to be more isolated and refractory to mutual influence than they actually are. Precisely because of the diverse usages and meanings that the term ‘world’ acquires in different contexts, the ontological commitment toward possible worlds varies significantly. They can be godly concepts, fictional scenarios, real sums of individuals that are isolated from each other, or ideal set of objects that are associated with different and mutually exclusive frames of reference and cultural coordinates. To shed a light on these matters is the main goal of the first book, entitled "What is a possible world?". The second book, entitled "Entangled worlds: the postmodernist literature", is committed to explore the topology of the possible worlds projected by postmodernist texts; in fact, the paradoxical topology that emerges from these texts appears to be inherently connected with a vast range of issues concerning our world.

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3

Cipolone, Anthony Dominic-Paul. "Möbius: for Orchestra." ScholarWorks@UNO, 2006. http://scholarworks.uno.edu/td/472.

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Möbius: for Orchestra attempts to explore an alternative use of the material that typically appears in the development section of a piece composed in sonata form. By using the modified themes in the recapitulation rather than disregarding them entirely, the A-B-A' form of the basic sonata becomes more of an A-B-(A'+B'). Much like the mathematical function this piece is named after – a loop whose ending is never identical to its beginning and whose mirror-image lacks symmetry – the listener is brought to a new ending with familiar, non-repeated material. Many times throughout the piece, the listener will hear up to three tonal centers at once, though differences in range, color, texture and dynamics give the effect of a single tonal center with a certain amount of unease. Ostinatos and long notes also help to dissuade the ear from settling on a comfortable sound, ending with uncertainty, much like it began.

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4

Santos, Marcus Vinicio de Jesus. "Transformação de Möbius." Universidade Federal de Sergipe, 2016. https://ri.ufs.br/handle/riufs/6499.

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The aim of this work is the study of arbitrary mobius transformations by means of simple complex transformations, namely: the Translation, the Rotation, the Homotetia (Contraction and Dilatation) and Inversion. The results obtained were applied in circles and straight line. At the end, we give the the alternative of studying mobius transformations via matrices.
O objetivo deste trabalho é estudar transformações de Möbius arbitrárias por meio de transformações complexas mais simples, a saber: a Translação, a Rotação, a Homotetia (Contração e Dilatação) e a Inversão. Os resultados obtidos foram aplicados em círculos e retas. No final, damos a alternativa de estudar transformações de Möbius via matrizes.

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5

Duran, Franciéli [UNESP]. "Transformações de Möbius e inversões." Universidade Estadual Paulista (UNESP), 2013. http://hdl.handle.net/11449/94367.

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O objetivo deste trabalho é estudar Transformações de Möbius arbitrárias por meio de transformações mais simples. Um estudo detalhado de inversão geométrica é realizado com o objetivo de estudar a inversão complexa. Apresentamos o comportamento das Transformações de Möbius no in nito e as classi camos em elíptica, hiperbólica, loxodrômica e parabólica
The aim of this work is the study of arbitrary Möbius transformations by use of simpler ones. A detailed study of geometric inversions is done to well understand complex inversions. We present the behavior of Möbius transformations at in nity and classify them as elliptic, hyperbolic, loxodromic, and parabolic

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6

Duran, Franciéli. "Transformações de Möbius e inversões /." Rio Claro, 2013. http://hdl.handle.net/11449/94367.

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Orientador: Thiago de Melo
Banca: Valderlei Marcos do Nascimento
Banca: Márcio de Jesus Soares
Resumo: O objetivo deste trabalho é estudar Transformações de Möbius arbitrárias por meio de transformações mais simples. Um estudo detalhado de inversão geométrica é realizado com o objetivo de estudar a inversão complexa. Apresentamos o comportamento das Transformações de Möbius no in nito e as classi camos em elíptica, hiperbólica, loxodrômica e parabólica
Abstract: The aim of this work is the study of arbitrary Möbius transformations by use of simpler ones. A detailed study of geometric inversions is done to well understand complex inversions. We present the behavior of Möbius transformations at in nity and classify them as elliptic, hyperbolic, loxodromic, and parabolic
Mestre

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7

Ramirez, Aguirre Josimar Joao. "Ortogonalidade da Função de Möbius." reponame:Repositório Institucional da UnB, 2014. http://repositorio.unb.br/handle/10482/17013.

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Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2014.
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Nesta dissertação de Mestrado apresentamos uma nova prova do Teorema de Davenport (1937), e a prova de Terence Tao que a conjectura de Chowla implica a conjectura de Sarnak. Na primeira parte do trabalho apresentamos a teoria básica das L-funcões bem como uma variação método de Vinogradov, usando as identidades de Vaughan. Em seguida, usamos estas ferramentas para mostrar o Teorema de Davenport. A principal referência desta parte são os capítulos 5 e 13 do livro Analitic Number Theory de Henryk Iwaniec e Emmanuel Kowalski, [9]. A prova que a Conjectura de Chowla implica na Conjectura de Sarnak é baseada em princípio de grandes desvios, obtido por uma variação do método do segundo momento. A exposição é inspirada na primeira parte do artigo de Peter Sarnak, intitulado Three Lectures on the Mobius Function Randomness and Dynamics, [16]. _______________________________________________________________________________ ABSTRACT
In this Master's thesis we present a new proof of Davenport's Theorem (1937), and the Terence Tao's proof that Chowla conjecture implies Sarnak's conjecture. In the _rst part of this work we present the basic theory of L-functions and a variation of the Vinogradov's method using the Vaughan's identities. Then we use these tools to prove Davenport's Theorem. This section is based on chapters 5 and 13 of the reference Analytic Number Theory by Henryk Iwaniec and Emmanuel Kowalski, [9]. The Chowla's Conjecture implies Sarnak's Conjecture is based on a principle of large deviations obtained by variation of the second moment method. The exposition is inspired on the _rst part of Peter Sarnak's article entitled Three Lectures on the Mobius Function Randomness and Dynamics, [16].

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8

Vieira, Nelson Felipe Loureiro. "Transformações de Möbius em RO." Master's thesis, Universidade de Aveiro, 2005. http://hdl.handle.net/10773/2880.

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Mestrado em Matemática
O principal objectivo deste trabalho texto consiste em estudar a influência das transformações Möbius, em vários aspectos da análise de Clifford. No capítulo zero introduziremos as definições e resultados preliminares, necessários para boa compreensão do texto; encerraremos este capítulo com o problema de Dirichlet na bola unitária em C. O primeiro capítulo é dedicado ao problema de Dirichlet para o caso da bola unitária em R0,n. Serão obtidas as generalizações dos resultados apresentados no capítulo zero para o caso complexo. No capítulo seguinte serão introduzidas as coordenadas projectivas e algumas definições associadas. Com este tipo de coordenadas, estabeleceremos um isomorfismo entre (R ) 2x2 e R . Com base nesta relação, estabeleceremos uma descrição matricial das superfícies esféricas, a qual conduzirá a uma conveniente representação matricial das transformações Möbius – dita representação de Vahlen. Na secção final deste capítulo será feita uma caracterização do grupo de Clifford (1,n+1) em termos destas matrizes. p,q p+1,q+1 No terceiro e último capítulo estudaremos a métrica diferencial invariante sob a acção das transformações de Möbius. Finalmente, concluiremos com o estudo do comportamento dos operadores de Laplace e de Dirac sob a acção das transformações de Möbius. ABSTRACT: The main objective of this work is to study the influence of the Möbius transformations in some aspects of Clifford analysis. In the preliminary chapter we introduce some definitions and preliminary results which are necessary for a good comprehension of the present text; we finish this chapter with the Dirichlet problem over the complex unit ball. The first chapter is dedicated to the study of the Dirichlet problem in the ndimensional unit ball. We will obtain the generalizations of the results presented in the complex case. In the next chapter we will introduce projective coordinates and some associated definitions. With this kind of coordinates we will establish an isomorphism between (Rp,q)2x2 and Rp+1,q+1. With this relation we will also establish a matricial description of the unit sphere which implies a convenient matricial representation of Möbius transformation - usually called Vahlen representation. In the final section we will characterized the Clifford group Γ(1,n+1) in terms of these matrices. In the third chapter we will study the invariant differential metric under the action of Möbius transformation. Finally, we will study the behaviour of Laplace and Dirac operator under the action of Möbius transformations.

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9

Inoue, Mitsunori. "Studies on Möbius Aromaticity of Hexaphyrins." 京都大学 (Kyoto University), 2011. http://hdl.handle.net/2433/142391.

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10

ALMEIDA, Múcio Brandão Vaz de. "Alterações ortopédicas na seqüência de Möbius." Universidade Federal de Pernambuco, 2006. https://repositorio.ufpe.br/handle/123456789/3110.

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Introdução: A Seqüência de Möbius (SM) consiste de paralisia congênita do VI e VII nervos cranianos, podendo apresentar em sua etiologia associação com o uso do misoprostol como abortivo. O objetivo deste estudo foi descrever as anomalias ortopédicas em portadores dessa seqüência, além de investigar possível associação de tais alterações entre os casos esporádicos e aqueles cujas mães usaram misoprostol durante o primeiro trimestre da gravidez. Métodos: Foram analisados 42 portadores da SM, atendidos na Associação de Assistência à Criança Deficiente Pernambuco, no período de 1999 a 2005. Vinte e cinco eram do gênero feminino e 17 do masculino. A idade no momento da pesquisa variou de 8 meses a 15 anos e 11 meses; média de 6 anos e 1 mês de idade. O diagnóstico da doença foi estabelecido por equipe multidisciplinar, incluindo neuropediatra, oftalmologista, ortopedista e psicólogo. As mães dos investigados foram interrogadas quanto ao uso do misoprostol durante a gravidez. O estudo foi do tipo observacional, sendo descrito os achados ortopédicos de uma série de casos. Foi introduzido componente analítico para investigar se a freqüência de anomalias do aparelho locomotor estava ou não associada ao uso de misoprostol. Resultados: Das 42 mães destes pacientes, 25 (59,5%) utilizaram o misoprostol como abortivo durante o primeiro trimestre de gestação. Dezessete (40,5%) mães negaram ter usado abortivos durante a gestação. Houve acometimento do VI e VII nervos cranianos em todos os pacientes. O IX e o X nervos cranianos estiveram acometidos em 17 (40,5%) pacientes. A associação com Síndrome de Poland foi vista em um paciente, e com paralisia cerebral em quatro. Trinta e quatro (80,9%) pacientes apresentaram alguma deformidade ortopédica, sendo o pé torto a mais comum. Conclusão: Anomalias ortopédicas foram observadas na grande maioria dos pacientes incluídos no estudo, sendo o pé torto congênito a mais encontrada. Não houve diferença estatisticamente significante entre a freqüência de anomalias ortopédicas em portadores da Seqüência de Möbius filhos de mães que usaram misoprostol, quando comparadas com os casos esporádicos

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11

Karagulyan, Davit. "Certain results on the Möbius disjointness conjecture." Doctoral thesis, KTH, Matematik (Inst.), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-215682.

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We study certain aspects of the Möbius randomness principle and more specifically the Möbius disjointness conjecture of P. Sarnak. In paper A we establish this conjecture for all orientation preserving circle homeomorphisms and continuous interval maps of zero entropy. In paper B we show, that for all subshifts of finite type with positive topological entropy the Möbius disjointness does not hold. In paper C we study a class of three-interval exchange maps arising from a paper of Bourgain and estimate its Hausdorff dimension. In paper D we consider the Chowla and Sarnak conjectures and the Riemann hypothesis for abstract sequences and study their relationship.

QC 20171016

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12

Jacques, Matthew. "Composition sequences and semigroups of Möbius transformations." Thesis, Open University, 2016. http://oro.open.ac.uk/48415/.

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Motivated by the theory of Kleinian groups and by the theory of continued fractions, we study semigroups of Möbius transformations. Like Kleinian groups, semigroups have limit sets, and indeed each semigroup is equipped with two limit sets. We find that limit sets have an internal structure with features similar to the limit sets of Kleinian groups and the Julia sets of iterates of analytic functions. We introduce the notion of a semidiscrete semigroup, and find that this property is akin to the discreteness property for groups. We study semigroups of Möbius transformations that fix the unit disc, and lay the foundations of a theory for such semigroups. We consider the composition sequences generated by such semigroups, and show that every such composition sequence converges pointwise in the open unit disc to a constant function whenever the identity element does not lie in the closure of the semigroup. We establish various results that have counterparts in the theory of Fuchsian groups. For example we show that aside from a certain exceptional family, any finitely-generated semigroup S is semidiscrete precisely when every two-generator semigroup contained in S is semidiscrete. We show that the limit sets of a nonelementary finitely-generated semidiscrete semigroup are equal (and non-trivial) precisely when the semigroup is a group. We classify two-generator semidiscrete semigroups, and give the basis for an algorithm that decides whether any two-generator semigroup is semidiscrete. We go on to study finitely-generated semigroups of Möbius transformations that map the unit disc strictly within itself. Every composition sequence generated by such a semigroup converges pointwise in the open unit disc to a constant function. We give conditions that determine whether this convergence is uniform on the closed unit disc, and show that the cases where convergence is not uniform are very special indeed.

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13

Islek, Zeynep. "Möbius Inversion Formula and Applications to Cyclotomic Polynomials." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-19248.

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This report investigates some properties of arithmetic functions. We will prove M\"obius inversion formula which is very important in number theory. Also our report investigates roots of unity and cyclotomic polynomials over the complex numbers.

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14

Saber, Hicham. "Equivariant Functions for the Möbius Subgroups and Applications." Thèse, Université d'Ottawa / University of Ottawa, 2011. http://hdl.handle.net/10393/20236.

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The aim of this thesis is to give a self-contained introduction to the hyperbolic geometry and the theory of discrete subgroups of PSL(2,R), and to generalize the results on equivariant functions. We show that there is a deep relation between the geometry of the group and some analytic and algebraic properties of these functions. In addition, we provide some applications of equivariant functions consisting of new results as well as providing new and simple proofs to classical results on automorphic forms.

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15

Möbius, Frank [Verfasser]. "Kraft-Verformungs-Verhalten von umschnürtem Stahlbeton / Frank Möbius." Aachen : Shaker, 2009. http://d-nb.info/116131122X/34.

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16

Calister, Fernando Marques [UNESP]. "Representações dos Números Complexos e Transformações de Möbius." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/144305.

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O objetivo deste trabalho é ampliar os conhecimentos sobre números complexos já adquiridos no ensino médio. Diversas formas de representação e propriedades operatórias são abordadas. Para este fim, primeiramente, os números complexos são definidos a partir do conceito de matrizes quadradas de ordem 2, e portanto, serão definidos como pares ordenados de números reais. Na sequência, a partir da apresentação geométrica dos conceitos e operações, é estudado o plano complexo estendido, as Transformações de Möbius e a Projeção Estereográfica.
The objective of this paper is to extend the concepts of complex numbers already acquired in high school. Many forms of representation and operative properties are used. For that, first, the complex numbers are defined from the concept of square matrices of order 2, and will therefore be defined as ordered pairs of real numbers. Following, from the geometric presentation of concepts and operations, it is studied the extended complex plane, the Möbius Transformations and the Stereographic Projection.

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Calister, Fernando Marques. "Representações dos números complexos e transformações de Möbius /." São José do Rio Preto, 2016. http://hdl.handle.net/11449/144305.

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Orientador: Claudio Aguinaldo Buzzi
Banca: Juliano Gonçalves Oler
Banca: Jéfferson Luiz Rocha Bastos
Resumo: O objetivo deste trabalho é ampliar os conhecimentos sobre números complexos já adquiridos no ensino médio. Diversas formas de representação e propriedades operatórias são abordadas. Para este fim, primeiramente, os números complexos são definidos a partir do conceito de matrizes quadradas de ordem 2, e portanto, serão definidos como pares ordenados de números reais. Na sequência, a partir da apresentação geométrica dos conceitos e operações, é estudado o plano complexo estendido, as Transformações de Möbius e a Projeção Estereográfica
Abstract: The objective of this paper is to extend the concepts of complex numbers already acquired in high school. Many forms of representation and operative properties are used. For that, first, the complex numbers are defined from the concept of square matrices of order 2, and will therefore be defined as ordered pairs of real numbers. Following, from the geometric presentation of concepts and operations, it is studied the extended complex plane, the M¨obius Transformations and the Stereographic Projection
Mestre

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18

Spagnuolo, Antonio. "La funzione di Möbius di un insieme parzialmente ordinato." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/11445/.

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Nel 1837 il matematico A.F. Möbius definì la funzione aritmetica mu(n) che vale 0 se n è divisibile per il quadrato di un numero primo, (-1)^k se n è il prodotto di k primi distinti e \mu(1)=1. Essa ricopre un ruolo di fondamentale importanza per quanto riguarda la distribuzione dei numeri primi, nonché per la sua duttilità nella risoluzione di diversi problemi di conteggio grazie alla formula di inversione di Möbius, che può essere pensata come un analogo formale del teorema fondamentale del calcolo integrale. Una sorprendente varietà di problemi di calcolo combinatorio si rivelano essere nient'altro che casi particolari di un problema più generale che riguarda la possibilità di invertire una somma fatta sugli elementi di un insieme parzialmente ordinato. L'obiettivo di questo elaborato è quello di illustrare come sia possibile generalizzare il concetto di funzione aritmetica estendendolo a quello di funzione di un'algebra di incidenza. Le algebre di incidenza hanno catturato l'interesse di svariati matematici a partire dagli anni '60 del secolo scorso, e si svilupparono come ambiente naturale nel quale generalizzare la formula di inversione di Mobius. La funzione di Möbius della teoria dei numeri, definita originariamente sull'insieme dei numeri interi positivi ordinato per divisibilità, può quindi essere definita su generici insiemi parzialmente ordinati.

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19

Freitas, Walter de Andrade. "Soluções tipo-vórtice de spins na fita de Möbius." Universidade Federal de Viçosa, 2009. http://locus.ufv.br/handle/123456789/4235.

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We consider the classical version of the Heisenberg exchange model on the surface of a Möbius strip. Vortex- like excitations, carrying non-trivial charge (topological winding number), are shown to emerge as static solutions in the planar rotator regime. Besides such a charge, attention is also paid to discuss about its energetics.
O modelo de Heisenberg, descrevendo a interação de troca entre spins clássicos, é investigado na superfície da fita de Möbius. Excitações do tipo-vórtice, caracterizadas por cargas topológicas não-triviais, são estudadas como soluções estáticas no regime de rotor planar. Além da carga, discute- se também a energética associada a tal solução.

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20

Betah, Mohamed Haye. "Un théorème de Gallagher pour la fonction de Möbius." Thesis, Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0461/document.

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La fonction de Möbius est définie par$$\mu(n)= \begin{cases} 1 & \textit{si $n=1$},\\ (-1)^k& \textit{si n est le produit de k nombres premiers distincts,}\\ 0 & \textit{si n contient un facteur carré. } \end{cases}$$Nous avons démontré que pour $x \ge \exp( 10^9) $ et $h=x^{1-\frac{1}{16000}}$, il existe dans chaque intervalle $[x-h,x]$ des entiers $n_1$ avec $\mu(n_1)=1$ et des entiers $n_2$ avec $\mu(n_2)=-1$.\\Ce résultat est une conséquence d'un résultat plus général.\\Pour $x \ge \exp(4\times 10^6)$, $\frac{1}{\sqrt{\log x}} \le \theta \le \frac{1}{2000}$, $h=x^{1-\theta}$ et $Q=(x/h)^{\frac{1}{20}}$, nous avons \\$$\sum_{q \leq Q} \log(Q/q)\sum_{\chi mod q}^*\left| \sum_{x.-h\le n \le x} \mu(n) \chi(n) \right| \leq 10^{20} h \theta \log(x) \exp( \frac{-1}{300 \theta}); $$la somme $\sum^*$ portant sur les caractères primitifs sauf l'éventuel caractère exceptionnel.\\Et en particulier pour $x \ge \exp( 10^9)$,$$ \left | \sum_{x.-x^{1-\frac{1}{16000}}\le n \le x} \mu(n) \right | \le \frac{1}{100} x^{1-\frac{1}{16000}}.\\$$
The Möbius function is defined by$$\mu(n)= \begin{cases} 1 & \textit{if $n=1$},\\ (-1)^k& \textit{if n is a product of k distinct prime numbers,}\\ 0 & \textit{if n contains a square factor. } \end{cases}$$We demonstrate that for $x \ge \exp( 10^9) $ and $h=x^{1-\frac{1}{16000}}$, it exists in each interval $[x-h,x]$ integers $n_1$ with $\mu(n_1)=1$ and integers $n_2$ with $\mu(n_2)=-1$.\\This result is a consequence of a more general result. \\For $x \ge \exp(4\times 10^6)$, $\frac{1}{\sqrt{\log x}} \le \theta \le \frac{1}{2000}$, $h=x^{1-\theta}$ et $Q=(x/h)^{\frac{1}{20}}$, we have \\ $$\sum_{q \leq Q} \log(Q/q)\sum_{\chi mod q}^*\left| \sum_{x-h \le n \le x} \mu(n) \chi(n) \right| \leq 10^{20} h \theta \log(x) \exp( \frac{-1}{300 \theta}); $$the sum $\sum^*$ relating to primitive characters except for possible exceptional character.\\And in particular for $x \ge \exp( 10^9)$,$$\left | \sum_{x-.x^{1-\frac{1}{16000}}\le n \le x} \mu(n) \right | \le \frac{1}{100} x^{1-\frac{1}{16000}}.$$

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21

Engelmann, Constanze. "Die Beiträge von Paul Julius Möbius (1853-1907) zu den Konzeptgeschichten der Migräne, Neuroophthalmologie und des Morbus Basedow." Doctoral thesis, Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-209838.

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Der erste Schwerpunkt der vorliegenden Arbeit resümiert den neurologischen Forschungsstand Ende des 19. Jahrhunderts zum Thema Migräne. Vergleichend dazu wird das Wirken des Leipziger Neurologen, Psychiaters und Wissenschaftspublizisten Paul Julius Möbius (1853-1907) zu diesem Krankheitsbild betrachtet. Folglich wird in der ersten Publikation seine 1894 erschienene Monographie „Die Migräne“ mit zeitgenössischen, heute teils als medizinhistorische Standardwerke geltenden, Werken europäischer Kollegen korreliert. Als Ergebnis wird formuliert, dass sich die Ansichten von Möbius und seiner Kollegen in vielen Aspekten gleichen. Möbius‘ Migräne-Konzept zeichnet sich demnach weniger durch Originäres aus, aber mit seiner, das Wissen der Zeit sammelnden Monografie legte er eines der Standardwerke der deutschsprachigen Neurologie um 1890 zur Migräne vor. Der zweite Schwerpunkt trägt Arbeiten Möbius\' zum heutigen Gebiet der Neuroophthalmologie zusammen. Die Arbeit kommt angesichts des Forschungsstandes seiner Zeit zu der Schlussfolgerung, dass Möbius zu den Entitäten Periodischer Okulomotoriuslähmung, infantilem Kernschwund und Morbus Basedow Pionierarbeiten geleistet hat. Dies war bisher unbekannt. Ein Ziel dieser Arbeit ist es, laufende evaluierende Forschungen über die in verschiedene Gebiete einzuordnenden Leistungen des Arztes und Wissenschaftlers Paul Julius Möbius zu fundieren, dessen Leumund durch seine Schrift „Über den pathologischen Schwachsinn des Weibes“ als beschädigt gelten muss. Für die Gebiete der Neurologie und Neuroophthalmologie gilt es festzuhalten, dass er wesentliche fachwissenschaftliche Beiträge geleistet hat.

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22

Ferreira, Maria Fernanda Roquette. "Aspectos estruturais e funcionais em crianças portadoras da seqüência de Möbius: uma visão fonoaudiológica." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/5/5138/tde-02062009-114241/.

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O objetivo deste estudo foi avaliar o sistema miofuncional oral e as funções estomatognáticas para definir o fenótipo estrutural fonoaudiológico da SM e correlacionar as alterações encontradas com as estruturas anatômicas afetadas, visando a elaboração de um programa de atendimento direcionado à SM. Foram examinados 31 pacientes de ambos os sexos, com idade entre 4 e 16 anos, em seguimento clínico no ambulatório de Neuropediatria do Instituto da Criança do HC FMUSP. Foram excluídos os pacientes com sonda nasogástrica, gastrostomia e/ou deficiência mental. Os resultados indicaram 24 pacientes com lábios entreabertos e 29 mobilidade alterada. Em 24 pacientes, no repouso, observou-se a língua no soalho da boca, 6 na papila e 1 entre os dentes. A mobilidade da língua revelou-se alterada em 51,6% dos casos. Em 77,4% palato ogival e, em 77,4% bochechas assimétricas. A mandíbula com abertura reduzida foi encontrada em 54,8% e o músculo mentális (no repouso) estava normal em 22 crianças. Na maioria dos pacientes observou-se alterações das funções mastigação e fonação e, 74% tinham respiração nasal; 27 pacientes sucção eficiente e 13 deglutição normal. Concluí-se que, as estruturas orofaciais mais afetadas foram os lábios, decorrente da paralisia do VII nervo, mais precisamente dos ramos zigomático e bucal superior e inferior; alguns casos também apresentaram alterações na mastigação e mobilidade da língua, V e XII nervos. O tratamento fonoaudiológico deverá visar a estimulação da musculatura facial e dos OFAs e adequar funções ou torná-las cabíveis, adaptadas de acordo com o quadro encontrado.
The aim of this study was to evaluate MS oral miofunctional system and stomatognathic functions in order to define MS phonoaudiological structural phenotype and correlate any changes with the affected anatomical structures, aiming at preparing a standard of care program targeted to MS. Thirty-one male and female patients aged 4 to 16 years old were examined as outpatients of clinical follow-up at Neuropediatrics Department of HC FMUSP Instituto da Criança. Patients with nasogastric or gastrostomy tube and/or who were mentally disabled were excluded. Results showed 24 patients with half-open lips and 29 with altered mobility. For 24 patients at rest, tongue was on the floor of the mouth, 6 on the papilla and 1 between the teeth. Tongue mobility revealed alterations in 51.6% of the cases. Seventy-seven per cent of the patients had ogival palate and 77% had asymmetric chicks. Mandible with reduced opening was found in 55% and mentalis muscle (at rest) was normal in 71% of the cases. For most patients chewing and phonation changes were observed, and 74% had nasal respiration; 27 patients had efficient sucking and 13 had normal swallowing. It was found that the most affected orofacial structures were lips, due to VII nerve palsy, more precisely of zigomatic and upper and lower buccal branches; some cases also showed alterations of chewing and tongue mobility, V and XII nerves. The phonoaudiological treatment should target facial musculature and phonoarticulatory organs stimulation and suiting functions or made them viable, adapted to the clinical picture.

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Quintino, Áurea Casinhas. "Constrained Willmore surfaces : symmetries of a Möbius invariant integrable system." Thesis, University of Bath, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501612.

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This work is dedicated to the study of the Möbius invariant class of constrained Willmore surfaces and its symmetries. We define a spectral deformation by the action of a loop of flat metric connections; Bäcklund transformations, by applying a dressing action; and, in 4-space, Darboux transformations, based on the solution of a Riccati equation. We establish a permutability between spectral deformation and Bäcklund transformation and prove that non-trivial Darboux transformation of constrained Willmore surfaces in 4-space can be obtained as a particular case of Bäcklund transformation. All these transformations corresponding to the zero multiplier preserve the class of Willmore surfaces. We verify that, for special choices of parameters, both spectral deformation and Bäcklund transformation preserve the class of constrained Willmore surfaces admitting a conserved quantity, and, in particular, the class of CMC surfaces in 3-dimensional space-form.

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24

El, Marraki Mohamed. "Majorations effectives de la fonction sommatoire de la fonction de Möbius." Bordeaux 1, 1991. http://www.theses.fr/1991BOR10546.

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Diverses methodes anterieures de majoration de valeur absolue de m(x) en epsilon x (mac leod dress, diamond mccurley, costa pereira) sont explorees et mises en uvre sur ordinateur. Les meilleures majorations sont ensuite utilisees, en reprenant et ameliorant la methode de schoenfeld, pour obtenir des majorations en cx sur log x puissance alpha bien meilleures que les resultats anterieurs

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25

Benchouaïa, Rajaa. "Vers de nouveaux métallo-récepteurs : synthèse et études de ligands hybrides hexaphyrine-cyclodextrine." Thesis, Rennes 1, 2019. http://www.theses.fr/2019REN1S116.

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Les hexaphyrines sont constituées de six unités pyrroliques et présentent différents types d'aromaticité, à l'origine de leurs remarquables propriétés de coordination. Cependant, les complexes sont décrits majoritairement sur des hexaphyrines « nues ». De plus, l'induction de chiralité sur un anneau de Möbius n'en est qu'à ses prémices. Dans ce contexte, nous explorons les propriétés de coordination des hexaphyrines « chapeautées ». Plus particulièrement, notre objectif consiste à élaborer des ligands hybrides, dont les unités hexaphyrine et cyclodextrine sont liées de manières covalentes. Pour ces hybrides, l'hexaphyrine peut être chapeautée par une à deux cyclodextrines, via six pontages. Dans un premier temps, les études de coordination menées sur la version triplement pontée ont permis de mettre en avant la forte rigidité du système, empêchant une éventuelle adaptation pour l'incorporation d'ions métalliques tels que le ZnII, CdII, HgII, PdII. Dès lors, la synthèse, inédite, des édifices doublement pontés a permis d'avoir accès au premier anneau de Möbius ponté par une cavité. De surcroit, des complexes de ZnII et HgII ont été obtenus. Curieusement, ces ligands présentent 3 sources de chiralité tel un totem. Nous avons réussi à obtenir un excès diastéréoisomérique de 94%, pour la communication en interne entre la chiralité planaire et l'anneau de Möbius, sur les complexes obtenus. De plus, ces complexes ont permis d'avoir une communication de la cyclodextrine quantifiée avec un e.d. de 60%. Par la suite, la fonctionnalisation a été encore plus élaborée en modifiant le cœur de l'hexaphyrine, les positions méso, et la cyclodextrine. Ces hybrides ont ainsi une sphère de coordination plus favorable à la coordination d'ions métalliques. Les premiers essais sont très encourageants. Finalement, ces ligands hybrides pourraient être des récepteurs allostériques ou des catalyseurs, ce qui est en cours de développement au laboratoire
Hexaphyrins are constituted by six pyrrole units and present different types of aromaticity at the origin of their remarkable coordination properties. However, complexes are mainly described on “naked” hexaphyrins. Besides, the induction of chirality on a Möbius ring is still in its infancy. In this context, we explore the coordination properties of ''capped'' hexaphyrins. More particularly, our objective consist to develop hybrid ligands, where hexaphyrin and cyclodextrin units are covalently linked. For these hybrids, the hexaphyrin can be capped by one or two cyclodextrins, until six linkages. First, coordination studies realized on the triply linked ligands, enabled to show the strong rigidity of the system, avoiding any adaptation for the incorporation of metal ions such as ZnII, CdII, HgII, PdII. Thus, the unprecedented synthesis, of the doubly linked ligands, enabled to have access to the first Möbius ring capped by a cavity. Moreover, complexes of ZnII and HgII were obtained. Interestingly, these ligands present three sources of chirality as a totem. We succeeded to obtain a diastereomeric exces of 94%, for the communication between the planar chirality and the Möbius ring, on the complexes. Besides, these complexes enabled to have a communication from the cyclodextrin quantified by a d.e. of 60%. Then, the functionalisation became more sophisticated by modifiying the hexaphyrin core, the meso positions, and the cyclodextrin. These hybrids have hence a coordination sphere which is more favorable to metal ions coordination. These first tests are really encouraging. Ultimately, these hybrid ligands would lead to allosteric receptors and catalysts, which is the concern of our researches

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Möbius, Nadine [Verfasser]. "Identifikation von Zoonoseerregern bei Haustieren und Bewertung des humanen Infektionsrisikos / Nadine Möbius." Hannover : Bibliothek der Tierärztlichen Hochschule Hannover, 2013. http://d-nb.info/1037860136/34.

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27

Tófoli, Luciene Fátima. "Nelson Rodrigues na curva de Möbius: entre os campos literário e jornalístico." Universidade Federal de Juiz de Fora (UFJF), 2016. https://repositorio.ufjf.br/jspui/handle/ufjf/5451.

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Esta pesquisa visa, num diálogo interdisciplinar entre Literatura, Sociologia e Jornalismo, analisar de que maneira, por meio de sua produção cronística, Nelson Rodrigues conseguiu inscrever e legitimar essa parte de sua obra no campo literário utilizando-se do capital simbólico, das estratégias e técnicas do campo jornalístico. O corpus de análise reúne 242 crônicas de memória e confissão, produzidas entre 1967 e 1974, e reunidas nos livros O óbvio ululante (1993), O reacionário (1995) e A cabra vadia (2001). Todas foram publicadas originalmente nas colunas que Nelson Rodrigues mantinha na Imprensa, principalmente em O Globo. Divididos em quatro eixos temáticos dominantes – política, comportamento, cultura e jornalismo – os textos remontam a um momento importante da história do Brasil, que sofria com um processo tardio de modernidade e com um recrudescimento da cena política, a partir da ditadura militar. Por meio de conceitos operatórios desenvolvidos pelo sociólogo francês Pierre Bourdieu, como Campo, Habitus, Capital e Poder Simbólico, e das teorias de produção e difusão da notícia, procuramos mostrar como Nelson Rodrigues efetuou com maestria o movimento descrito pela curva de Möbius, onde é possível estar dentro e fora do jornalismo e da literatura ao mesmo tempo, onde as fronteiras são esmaecidas, mas permanecem.
Within an interdisciplinary dialogue among Literature, Sociology and Journalism, this research aims at analyzing how Nelson Rodrigues managed to insert and legitimize his chronicle production in the literary field using symbolic capital besides strategies and techniques from the journalistic field. The analysis corpus gathers 242 chronicles of memory and confession, written from 1967 to 1974 and collected in the books O óbvio ululante [The screaming obvious] (1993) O reacionário [The reactionary] (1995) and A cabra vadia [The tramp goat] (2001). All chronicles were originally published in the columns that Nelson Rodrigues kept in newspapers, especially in O Globo. Divided into four main themes – politics, behavior, culture and journalism – the texts date back to an important moment in the history of Brazil that suffered with a late modernity process and an increasing importance of the political scene with the military dictatorship. Through operational concepts developed by the French sociologist Pierre Bourdieu, as Field, Habitus, Capital and Symbolic Power, and production and news diffusion theories, we intend to show how Nelson Rodrigues made masterly the movement described by Möbius strip where it is possible to be in and out of journalism and literature at the same time, where the borders are blurred but remaining.

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Nissen, Julia [Verfasser]. "Exomsequenzierungs-basierte Identifizierung von Kandidatengenen für das Poland-Möbius-Syndrom / Julia Nissen." Ulm : Universität Ulm, 2021. http://d-nb.info/1236842146/34.

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29

Atkinson, James. "Integrable lattice equations : connection to the Möbius group, Bäcklund transformations and solutions." Thesis, University of Leeds, 2008. http://etheses.whiterose.ac.uk/9081/.

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We consider scalar integrable lattice equations which arise as the natural discrete counterparts to KdV-type PDEs. Several results are reported. We identify a new and natural connection between the ‘Schwarzian’ (Möbius invariant) integrable lattice systems and the Möbius group itself. The lattice equation in some sense describes dynamics of fixed-points as they change under composition between transformations. A classification result is given for lattice equations which are linear but also consistent on the cube. Such systems lie outside previous classification schemes. New Bäcklund transformations (BTs) for some known integrable lattice equations are given. As opposed to the natural auto-BT inherent in every such equation, these BTs are of two other kinds. Specifically, it is found that some equations admit additional auto-BTs (with Bäcklund parameter), whilst some pairs of apparently distinct equations admit a BT which connects them. Adler’s equation has come to hold the status of ‘master equation’ among the integrable lattice equations. Solutions of this equation are derived which are associated with 1-cycles and 2-cycles of the BT. They were the first explicit solutions written for Adler’s equation. We also apply the BT to the 1-cycle solution in order to construct a soliton-type solution.

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30

Brandt, Erika [Verfasser], and Bernd [Akademischer Betreuer] Möbius. "Information density and phonetic structure : Explaining segmental variability / Erika Brandt ; Betreuer: Bernd Möbius." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2019. http://d-nb.info/1184878218/34.

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Bressan, Stéphane. "Représentation et modélisation des connaissances : Möbius, un modèle intégrant les aspects conceptuels et déductifs." Lille 1, 1992. http://www.theses.fr/1992LIL10042.

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Dans cette thèse nous avons voulu présenter une solution pragmatique, fédérant plusieurs approches, au problème de la représentation et de la modélisation des connaissances pour les systèmes automatiques de traitement de l'information et d'aide à la décision. Le modèle que nous décrivons, appelé Möbius, repose sur, d'une part des aspects déductifs: vues et contraintes d'intégrité, et d'autre part sur une organisation des connaissances autour des axes de classification, généralisation et agrégation. Nous proposons un ensemble de solutions permettant d'organiser et de gérer la connaissance: définition de niveaux, gestion statique et dynamique des conflits d'héritage. Cette expérience ayant donné lieu à la réalisation de prototypes, nous présentons nos décisions, nos idées et les perspectives de recherche liées à la définition de systèmes de gestion de connaissances

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Lenoir, Olivier. "L'écriture : pour une approche borroméenne et topologique : du réel de l'écriture au cas clinique, un parcours moebien." Nice, 2011. http://www.theses.fr/2011NICE2018.

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La thèse veut porter l’écriture au niveau d’un concept, le projet est d’exposer les effets de l’écriture, en démontrer l’indispensable efficacité dans la rencontre clinique. L’écriture a pour origine le processus d’inscription dans le système psychique des conséquences d’un frayage tel que Freud le décrivait dans l’Esquisse. Les traces traits et lettres que l’analysant retrouve en présence de l’analyste seront, grâce au transfert, les bribes que devra assembler l’analyste pour transmettre quelque chose de sa pratique à travers le cas clinique et la théorisation qui en découle. Structure mœbienne : L’écriture ancrée dans son origine psychique est l’encre d’une discipline. Ce double ancrage est un fait de structure, celle de la bande unilatère de Möbius aux propriétés singulières. Annoncé par Platon, l’écriture est trompeuse, savoir et vérité s’y poursuivent sans jamais s’atteindre, la vérité ne peut que se mi-dire. Thème récurrent de la vérité : que représente la vérité d’un dire pour le sujet, pour l’analyste, pour le lecteur. Comment pourrait opérer la parole, pourquoi choisir la parole quand nous parlons d’écriture ? Revient la question de la transmission dans la psychanalyse de ce qui relève d’une expérience, d’une rencontre en même temps que d’une parole toujours volée. Écriture et récit : articulation de ces deux signiﬁants, ce qu’ils entraînent et soutiennent. La notion du récit chez Blanchot accompagne la scène de l’écriture et ses acteurs : perceptum et percipiens. Ainsi surgit le sujet toujours effet du perceptum, entre-deux du signifiant, auteur et lecteur d’un récit qui lui donne son existence. En conclusion : Le sujet effet d’écriture est fait d’écriture
The thesis aims to elevate writing to the level of a concept. It means to expose the ultimate effect of writing and to demonstrate its efficiency in a clinical encounter. Writing, at its origin, is the continuous process of inscribing in the psychological system the consequences of a facilitation, such as described by Freud in his “Outline”. The different strokes and letters used by the person being analysed will become, thanks to the process of transference, unquestionable snippets, which the analyst must put together should he wish to transmit is practice via the case study and its resulting theorisation. Möbian Structure : This psychological link is also the ink of a discipline, and this two-fold (l)ink is a structural fact: the unilateral Möbius ribbon with its curious properties. Knowledge and truth chase each other without ever meeting; truth can only ever be half-said. The recurring theme of truth : What does the truth of something said represent, for the subject, the analyst, the reader? How will the spoken word work, why choose the spoken word when we are talking of writing? Thus we come back to the question of transmission during the psychoanalytical process - of a happening, a meeting, a unique life experience. Writing and narration : The linking of these two signifiers, what they provoke and support. For Blanchot, the notion of narration accompanies the theatre of writing, and its actors: perceptum and percipiens. Thus, the subject emerges as an effect of perceptum, an in-between of the signifier, being at once the author and reader of a narrative that allows him to exist. To conclude: The subject that is an effect of writing is a fact of writing

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Kuniba, Atsuo, and Tomoki Nakanishi. "Bethe Equation at q=0, Möbius Inversion Formula, and Weight Multiplicities: I. sl(2) case." Springer Verlag, 2000. http://hdl.handle.net/2237/10057.

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34

Talwanga, Matiki. "The principle of inclusion-exclusion and möbius function as counting techniques in finite fuzzy subsets." Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1005227.

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The broad goal in this thesis is to enumerate elements and fuzzy subsets of a finite set enjoying some useful properties through the well-known counting technique of the principle of inclusion-exclusion. We consider the set of membership values to be finite and uniformly spaced in the real unit interval. Further we define an equivalence relation with regards to the cardinalities of fuzzy subsets providing the Möbius function and Möbius inversion in that context.

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Möbius, Jan Verfasser], Leif [Akademischer Betreuer] [Kobbelt, and Torsten [Akademischer Betreuer] Kuhlen. "A versatile framework for research code development in geometry processing / Jan Möbius ; Leif Kobbelt, Torsten Kuhlen." Aachen : Universitätsbibliothek der RWTH Aachen, 2017. http://d-nb.info/1130872300/34.

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36

Möbius, Jan [Verfasser], Leif [Akademischer Betreuer] Kobbelt, and Torsten [Akademischer Betreuer] Kuhlen. "A versatile framework for research code development in geometry processing / Jan Möbius ; Leif Kobbelt, Torsten Kuhlen." Aachen : Universitätsbibliothek der RWTH Aachen, 2017. http://d-nb.info/1130872300/34.

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Lange, Fabien. "Exploration de la valeur de Shapley et des indices d'interaction pour les jeux définis sur des ensembles ordonnés." Phd thesis, Université Panthéon-Sorbonne - Paris I, 2007. http://tel.archives-ouvertes.fr/tel-00274302.

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Les fonctions de treillis, apparaissent être des outils essentiels en recherche opérationnelle. Elles ouvrent en effet de nouveaux champs d'application en théorie des jeux coopératifs, et en aide à la décision (les jeux sont dans ce cas des capacités, ou mesures floues). Cette thèse a pour objet l'investigation de concepts de solutions pour les jeux définis sur des structures générales de coalitions. À cette fin, nous proposons plusieurs généralisations et axiomatisations de la valeur de Shapley pour les jeux multi-choix, les jeux à actions combinées, et les jeux réguliers. L'indice d'interaction quantifie la véritable contribution d'une coalition par rapport à toutes ses sous-coalitions. Mathématiquement, il s'agit d'un prolongement de la valeur de Shapley. Nous proposons des axiomatisations de l'indice d'interaction de Shapley pour les jeux bi-coopératifs, ainsi que des procédés calculatoires permettant de déterminer l'opérateur d'interaction et son inverse.

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Виноградов, М. О. "Стрічка Мебіуса". Thesis, Сумський державний університет, 2014. http://essuir.sumdu.edu.ua/handle/123456789/38812.

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Незвичайна, загадкова, - це далеко не всі епітети, якими можна описати цей дивний об’єкт – стрічку Мебіуса або лист(петлю) Мебіуса. Що ж вона собою являє? Це – топологічний об’єкт, найпростіша неорієнтована поверхня, одностороння при вкладенні в звичайний трьохвимірний простір R3.

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Möbius, Sascha. "Hruschka, Constantin, Kriegsführung und Geschichtsschreibung im Spätmittelalter : eine Untersuchung zur Chronistik der Konzilszeit / [rezensiert von] Sascha Möbius." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2009/2843/.

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Rezensiertes Werk: Hruschka, Constantin: Kriegsführung und Geschichtsschreibung im Spätmittelalter : eine Untersuchung zur Chronistik der Konzilszeit / von Constantin Hruschka. - Köln [u.a.] : Böhlau, 2001. - (Kollektive Einstellungen und sozialer Wandel im Mittelalter ; N.F., 5) Zugl.: Würzburg, Univ., Diss., 2000 ISBN 3-412-06501-3

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40

Seiß, Konradin Willi [Verfasser]. "Synthese eines neuen Bausteins zur Herstellung eines Möbius-Aromaten mit der Linking Number 3 / Konradin Willi Seiß." Kiel : Universitätsbibliothek Kiel, 2018. http://d-nb.info/1163274569/34.

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Calamote, Éric Pierre. "L’informité du traumatisme : plaidoyer pour une clinique et une topique dynamiques du traumatisme sexuel." Thesis, Lyon 2, 2011. http://www.theses.fr/2011LYO20041/document.

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Cette thèse s’attache à dégager les effets spécifiques des expériences traumatiques de nature sexuelle, et plus largement à modéliser le déploiement de tout traumatisme. L’informité traumatique y est particulièrement mise en évidence dans la façon dont l’expérience est atteinte au-delà de son contenu dans sa substance, ses contours et sa forme. Devant cette clinique de l’extrême où le patient se débat dans une économie le plus souvent paradoxale, le clinicien doit faire face à l’enchevêtrement des scènes traumatiques de l’histoire de son patient, d’un sujet n’abandonnant jamais véritablement le projet de configurer son expérience et de la situer topiquement. Pour rendre compte à la fois des effets du traumatisme et de son appel à former l’expérience, il convient de penser une topique au sein de laquelle peuvent se jouer et l’errance des éléments psychiques et la façon dont ils sont attractés pour arriver à configurer l’expérience, la symboliser. Cette topique est représentable par un cylindre développable en rubans de Möbius, cylindre contenant l’identité du sujet et dans lequel des zones de plis figurent les points où la matière psychique se forme et se spatialise. Ce cylindre où se joue l’expérience traumatique organisée en couple d’opposés, où se lisent également les efforts du sujet pour la circonscrire, n’est pensable que dans un modèle intersubjectif. Dans cette optique, et parce que l’économie traumatique impose plus que d’autres une réflexion sur le dispositif de soins et l’implication du thérapeute, on saisit mieux l’intérêt d’une double écoute (par deux psychologues cliniciens). Une part importante de ce travail de recherche concerne l’étude de la congruence de cette « copensée » avec la nouvelle modélisation du traumatisme. Ce travail de recherche laisse une large place à la clinique par l’exposé de longues vignettes retraçant le récit d’expériences traumatiques de patients, en replaçant ce déploiement (parfois sur plus de dix ans) dans l’épaisseur des séances, des échanges et des interactions entre les deux psychologues et leur patient
The present thesis focuses on finding out the specific effects of a sexually traumatic experience and more generally on modelling the broadening of any trauma. It especially discusses the notion of traumatic informity by which an experience is impacted not simply in terms of its content, but also in terms of its essence, outline, and shape. Faced with these extreme clinical situations where the patient struggles in a most often paradoxical situation, the clinician must deal with the muddle of traumatic scenes characterizing his or her patient’s background, when the latter never completely gives up configurating his or her experience and topically situating it. In order to unearth the effects of the trauma as well as its ability to shape the experience, it is necessary to imagine a topique at the core of which the wandering psychic elements as the way they are attracted to each other - in such a way as to configurate and symbolize the experience - are at stake. This topique can be represented as a cylinder which can be unfolded into Möbius strips, and it contains the patient’s identity. The creases symbolize the places where psychic matter takes shape and broadens out. This cylinder, where the traumatic experience is at stake in opposed pairs and where the patient’s efforts to define it can be read, can only be envisioned as part of an intersubjective model. In this perspective, because traumatic economies necessitate pondering on health care measures and on the therapist’s level of engagement, it is easier for one to see how much more valuable a consultation with two clinical psychologists is. A significant part of this research work involves the study of the congruity of this “co-thought” with the new way of modelling a trauma. This research work leaves much room for clinical practice through long accounts retracing the patients’ history of traumatic experiences, as the two psychologists resituate the patient’s trauma’s broadening (sometimes over the course of ten years) during the intensity of the sessions, exchanges, and interactions

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Lugo, Michael Ruben. "A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/89477.

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For an affine Weyl group W, we explicitly determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat order is non-zero by utilizing the quantum Bruhat graph of the classical Weyl group associated to W . Then we examine embedding stable and consistent statistics on the affine Weyl group of type A which permit the definition of an affine infinite symmetric group.
Doctor of Philosophy

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43

Montmasson, Didier. "Espace möbien - corps topologique." Paris 1, 1995. http://www.theses.fr/1995PA010677.

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Ce travail de recherche s'appuie sur une pratique personnelle de la sculpture. Notre démarche consiste, à partir des surfaces topologiques inorientables (ruban de Mobius et plan projectif), à investir le champ de la sculpture des années 70, en prenant comme point nodal les presupposés de l'art minimal. Deux axes de reflexion entrecoisés sont d'emblée privilégiés: 1- le rapport art science : le fait de considérer la science comme matériau fournissant des modèles opératoires, nous entrainera à définir une étrange logique où cette dernière devient le parergon de l'art. 2- Le projet de deéployer une corporéite topologique à dominante horizontale nous conduira à interroger les fondements anthropologiques et artistiques de la sculpture traditionnelle (comme monolithe anthropomorphe, colossos, idole), et à nous demander si les années 70 ne sont pas contemporaines de l'émergence d'un nouveau paradigme définissant un espace tabulaire, anisotrope et anticompositionnel (la sculpture comme "sol", pavement, territoire), plus proche en cela de l'architecture, quand, pour penser l'habiter, celle-ci ne le réduit pas à sa seule composante fonctionnelle. Dernier point, les surfaces topologiques n'étant pas pour nous de pures abstractions géometriques mais se situant aux croisements d'une multiplicité de disciplines (biologie, psychanalyse, linguistique, mathématiques, cosmologie, sculpture), ceci nous amènera à poser les questions de l'organicité et de la corporéité de l'oeuvre d'art, et à remettre en cause non seulement les modes de pensée qui s'appuient sur la prééminence de l'intuition de la sphère (noyau, atome, intériorité) mais également tout ce que nous croyons savoir de la surface, du volume, de l'espace
This research is based on a personal work on sculpture. Our process consists in investing the field of sculpture in the seventies, considering the adjustable topological surfaces as a start and taking as nodal point the problematics of minimal art. Two interlaced axes of analysis are directly privileged : 1- the relation between art and science. The fact of considering science as a "material" providing models will induce us to define some strange logic in which science becomes the "parergon" of art. 2- The project which consists in unfolding what we call a "topological corporality" will lead us to question the anthropological and artistic bases of traditional sculpture (as an anthropomorphic monolith, "colossos", or idol) and to ask wether the seventies are contemporaneous with the emergence of a new sculptural paradigm which would define a tabular, anisotropic and noncompositional space - sculpture seen as ground, paving, territory - thus closer to architecture when, thinking of it as a place to live in, this art doesn't reduce it to a mere functional constituent. Lastly, since these topological surfaces are not only pure and geometrical abstractions but also related to various subjects such as biology, psychoanalysis, linguistics, mathematics, cosmology and art, we will be led to consider the "organicity" and "corporality" of the work of art, and to question not only the way of thinking based on the intuition of sphere -nucleus, atom, interiority - but also what we think we know about surface, volume and space

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Dhuez, Rémi. "Echantillonnage pour les espaces de fonctions analytiques à poids." Aix-Marseille 1, 2005. http://www.theses.fr/2005AIX11031.

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Nous nous intéressons au problème d'échantillonnage pour les espaces de fonctions analytiques dans le disque unité D ⊂ C, à poids radial. Nous considérons l'espace de Banach Ah (D) = {ƒ holomorphes sur D : ∥ƒ∥h = sup z∈D ∣ƒ(z)∣e -h(∣z∣) < à +∞}, où le poids h est de classe C² et h (r) → +∞ quand r → 1-. Le premier chapitre est consacré au cas des poids à croissance lente. Nous montrons que la stabilité de Möbius de l'échantillonnage n'est pas vérifiée dans Ah (D). Les deux chapitres suivants sont consacrés au cas des poids à croissance rapide. Nous caractérisons les suites d'échantillonnage pour Ah (D) en terme de densité.

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Souza, José Fernando Oliveira de. "Anéis quânticos em superfícies não-orientáveis." Universidade Federal da Paraíba, 2011. http://tede.biblioteca.ufpb.br:8080/handle/tede/5693.

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Made available in DSpace on 2015-05-14T12:13:59Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 798447 bytes, checksum: d94f874d062caea280c4ce462ab3837a (MD5) Previous issue date: 2011-12-22
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
In this work, we explore the link between geometry and physical properties in 2D quantum rings. With focus on the non-orientable mesoscopic structures, we solve the quantum Möbius strip problem, a quantum ring whose lockdown surface is a Möbius strip, and investigate how the physical properties of those structures answer to the geometric variation of this particular configuration. More precisely, we investigate how the adoption of boundary conditions associated to this specific geometric configuration, in particular, can change the general properties of the 2D quantum rings. In addition, we still study the generalized version of the problem, where the Möbius strip has a finite number n of torsions.
Neste trabalho, exploramos o elo entre geometria e propriedades físicas no caso de anéis quânticos bidimensionais. Com o foco nas estruturas mesoscópicas não-orientáveis, resolvemos o problema da faixa de Möbius quântica, um anel quântico cuja superfície de confinamento é uma faixa de Möbius, e investigamos de que maneira as propriedades físicas de tais estruturas respondem à variação geométrica característica dessa particular configuração de confinamento. Mais precisamente, investigamos o modo pelo qual a adoção de condições de contorno associadas a essa configuração geométrica específica, em particular, pode interferir nas propriedades gerais dos anéis quânticos bidimensionais. Além disso, ainda estudamos a versão generalizada do problema, em que a faixa de Möbius apresenta um número finito n de torções.

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46

Möbius, Thomas W. D. [Verfasser], Guido [Akademischer Betreuer] Knapp, and Katja [Gutachter] Ickstadt. "Parameter estimation in the random effects meta regression model / Thomas W. D. Möbius. Betreuer: Guido Knapp. Gutachter: Katja Ickstadt." Dortmund : Universitätsbibliothek Dortmund, 2014. http://d-nb.info/1105662705/34.

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Carvalho, Adriana Luiza Pimenta Sant'Iago de. "Ciclo reprodutivo, gametogênese e desenvolvimento larval de Asterina stellifera (Möbius, 1859) (Echinodermata : Asteroidea) na região de Cabo Frio, RJ." Universidade Federal do Rio de Janeiro, 2001. http://hdl.handle.net/11422/3515.

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Submitted by Alberto Vieira (martins_vieira@ibest.com.br) on 2018-01-19T13:52:39Z No. of bitstreams: 1 542893.pdf: 6816025 bytes, checksum: 6e417b1811f0c1b94a6b963c3e983658 (MD5)
Made available in DSpace on 2018-01-19T13:52:39Z (GMT). No. of bitstreams: 1 542893.pdf: 6816025 bytes, checksum: 6e417b1811f0c1b94a6b963c3e983658 (MD5) Previous issue date: 2001-04-07
A reprodução sexuada em Asteroidea envolve a produção de gametas. fertilização externa e o desenvolvimento de fases larvais. Uma grande variedade de estratégias reprodutivas pode ser observada nos asteróides da família Asterinidae, sendo observadas espécies que produzem ovos pequenos e larvas planctotróficas, de longa duração na coluna d'água, espécies que produzem ovos grandes e larvas lecitotróficas, de curta duração na coluna d'água e até mesmo espécies vivíparas. Muito pouco se sabe a respeito dos aspectos reprodutivos de Asteroidea no litoral brasileiro. No presente estudo, serão verificaclos e descritos os aspectos reprodutivos de A. stellifera em duas populações na região de Cabo Frio, incluindo o ciclo gonadal, a gametogênese e o desenvolvimento larval. A primeira população está na região entre-marés da Ilha do Japonês, junto às gramíneas marinhas. A outra população situa-se no infralitoral rochoso das Prainhas do Pontal, em Arraial do Cabo. O desenvolvimento larval foi descrito por intermédio de cultivo em laboratório. O ciclo reprodutivo foi estudado em intervalos mensais utilizando-se índice dos órgãos e exame histológico das gônadas. A. stellifera apresentou um desenvolvimento planctotrófico típico em asteróides, com dois estágios larvais sucessivos, uma larva bipinária e outra braquiolária. Foi verificado um padrão reprodutivo anual, com picos de desenvolvimento gonadal em agosto e setembro, nas duas populações. A periodicidade dos eventos reprodutivos foi idêntica nas duas populações, mas diferenças no índice gonadal (IG) e no índice dos cecos pilóricos (ICP) foram observadas. Na população do infralitoral rochoso os valores de IG foram maiores e foi observada uma menor variação nos valores de ICP. Foi observada uma relação inversa entre os valores de IG e ICP sendo que na população da região entre-marés esta relação foi mais evidente. As diferenças observadas podem estar associadas a fatores ambientais, como hidrodinamismo e disponibilidade alimentar.
The development and reproductive cycle of Asterina stellifera were studied from amples taken from populations in two distinct habitats from Cabo Frio. One is an intertidal seagrass flat at Japonês lsland ( 1994-1995); the second is a sublittoral rocky-shore at Pontal Beaches ( 1999-2000). Development pattern was described based on laboratory cultures. Reproductive cycle was studied at monthly intervals by organ indices and histological examinations of gonads. A. stellifera has a typical planktotrophic development with bipinnaria and brachiolaria stages. The periodicity of the annual reproductive cycle was similar for both populations, but the gonad índex (Gl) was higher and the pyloric caeca index (PCI) had less variation in the rocky-shore population. The Gl and PCI had an inverse relationship in both populations, but it was greater in the seagrass-flat population. Environmental factors like hydrodynamics and food availability are the most probable mechanisms for these differences.

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Möbius, Cornelia Helen [Verfasser], and Martin [Akademischer Betreuer] Köhrmann. "Prognose des ischämischen Schlaganfalls in der älteren Bevölkerung: Evaluation des SPAN-100-Index / Cornelia Helen Möbius. Gutachter: Martin Köhrmann." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2014. http://d-nb.info/1075476402/34.

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Beier-Möbius, Menia [Verfasser], Josef [Gutachter] Lutz, Josef [Akademischer Betreuer] Lutz, and Mark-Matthias [Gutachter] Bakran. "Untersuchungen zur Zuverlässigkeit von Dielektrika in Leistungsbauelementen / Menia Beier-Möbius ; Gutachter: Josef Lutz, Mark-Matthias Bakran ; Betreuer: Josef Lutz." Chemnitz : Technische Universität Chemnitz, 2021. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa2-757289.

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Möbius, Cornelia [Verfasser], and Martin [Akademischer Betreuer] Köhrmann. "Prognose des ischämischen Schlaganfalls in der älteren Bevölkerung: Evaluation des SPAN-100-Index / Cornelia Helen Möbius. Gutachter: Martin Köhrmann." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2014. http://d-nb.info/1075476402/34.

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