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1
Barbos, Aneta E. [Verfasser]. "Energy decay law in n-dimensional Gowdy spacetimes with torus topology / Aneta Barbos." Berlin : Freie Universität Berlin, 2010. http://d-nb.info/102508800X/34.
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2
Figueiredo, Lilyane Gonzaga. "Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos." Universidade Federal de Uberlândia, 2011. https://repositorio.ufu.br/handle/123456789/16790.
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In this dissertation we study lattices in quotient spaces. The basic quotient spaces are: (1)
n-dimensional euclidean tori, obtained from quotient of Rn by discrete groups of isometries ge-
nerated by linearly independent translations and (2) hyperbolic °at g-tori (tori of genus g ¸ 2),
obtained from quotient of hyperbolic plane by fuchsian groups. In the euclidean environment,
the considered lattices are provided of the additive group Z2; while in the hyperbolic case the
studied lattices are the geometrically uniform and the cyclic ones.<br>Neste trabalho estudamos reticulados em espaços quocientes. Os espaços quocientes considerados foram: (1) toros euclidianos n-dimensionais, obtidos pelo quociente de Rn por grupos
discretos de isometrias gerados por translações linearmente independentes e (2) g-toros planos
hiperbólicos (g ¸ 2) ; obtidos pelo quociente do plano hiperbólico por grupos fuchsianos. No
caso euclidiano, os reticulados considerados foram provenientes de Z2; enquanto que no caso
hiperbólico os reticulados estudados foram os geometricamente uniformes e os cíclicos.<br>Mestre em Matemática
3
Yamamoto, Yasuhiro. "Studies of Toroidal Flows Driven by Electron Cyclotron Heating in Three-Dimensional Torus Plasmas." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263655.
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4
McKee, David Wesley. "n-Dimensional prediction of RT-SOA QoS." Thesis, University of Leeds, 2017. http://etheses.whiterose.ac.uk/18658/.
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Service-Orientation has long provided an effective mechanism to integrate heterogeneous systems in a loosely coupled fashion as services. However, with the emergence of Internet of Things (IoT) there is a growing need to facilitate the integration of real-time services executing in non-controlled, non-real-time, environments such as the Cloud. As such there has been a drive in recent years to develop mechanisms for deriving reliable Quality of Service (QoS) definitions based on the observed performance of services, specifically in order to facilitate a Real-Time Quality of Service (RT-QoS) definition. Due to the overriding challenge in achieving this is the lack of control over the hosting Cloud system many approaches either look at alternative methods that ignore the underlying infrastructure or assume some level of control over interference such as the provision of a Real-Time Operating System (RTOS). There is therefore a major research challenge to find methods that facilitate RT-QoS in environments that do not provide the level of control over interference that is traditionally required for real-time systems. This thesis presents a comprehensive review and analysis of existing QoS and RT-QoS techniques. The techniques are classified into seven categories and the most significant approaches are tested for their ability to provide QoS definitions that are not susceptible to dynamic changing levels of interference. This work then proposes a new n-dimensional framework that models the relationship between resource utilisation, resource availability on host servers, and the response-times of services. The framework is combined with real-time schedulability tests to dynamically provide guarantees on response-times for ranges of resource availabilities and identifies when those conditions are no longer suitable. The proposed framework is compared against the existing techniques using simulation and then evaluated in the domain of Cloud computing where the approach demonstrates an average overallocation of 12%, and provides alerts across 94% of QoS violations within the first 14% of execution progress.
5
Saeed, Muhammad Saqib. "A Mechanism for Representing N-Dimensional Software Process Models in One-Dimensional Documents." Thesis, Blekinge Tekniska Högskola, Avdelningen för programvarusystem, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3238.
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Current software process modeling tools lack the capabilities of generating word processing documents that can represent model semantics in a computer process-able and human understandable way. This results into inefficient use of word processors for editing and reviewing a model’s textual data. In an attempt to resolve this problem, this thesis presents an approach for representing software process models in word processing documents. The development of the approach is based on a set of issues that can hinder the generation of human understandable and computer process-able documents from software process models. The approach is validated through its implementation for a software process modeling tool. The implementation allows for the generation of word processing documents from software process models and their re-import into the process modeling tool.<br>Email: msaqibsaeed@hotmail.com
6
Elliott, Joshua Wright 1980. "Three dimensional N = 2 supersymmetry on the lattice." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=97947.
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We show how 3-dimensional, N=2 supersymmetric theories, including super QCD with matter fields, can be put on the lattice with existing techniques, in a way which will recover supersymmetry in the small lattice spacing limit, with O(a) lattice spacing suppressed SUSY breaking effects.
7
Khorsravi, Mehrdad. "Some N-Dimensional analytic geometry : angles and more." Honors in the Major Thesis, University of Central Florida, 2002. http://digital.library.ucf.edu/cdm/ref/collection/ETH/id/281.
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This item is only available in print in the UCF Libraries. If this is your Honors Thesis, you can help us make it available online for use by researchers around the world by following the instructions on the distribution consent form at http://library.ucf.edu/Systems/DigitalInitiatives/DigitalCollections/InternetDistributionConsentAgreementForm.pdf You may also contact the project coordinator, Kerri Bottorff, at kerri.bottorff@ucf.edu for more information.<br>Bachelors<br>Arts and Sciences<br>Mathematics
8
Santos, Jonas Deyson Brito dos. "RenderizaÃÃo com amostragem adaptativa no domÃnio N-dimensional." Universidade Federal do CearÃ, 2013. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=9642.
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CoordenaÃÃo de AperfeiÃoamento de NÃvel Superior<br>Este trabalho propÃe melhorias em uma tÃcnica de amostragem adaptativa multidimensional para renderizaÃÃo. RenderizaÃÃo à o processo de sÃntese de imagens por meio de algoritmos que simulam a iluminaÃÃo em cenÃrios virtuais. As tÃcnicas mais gerais de renderizaÃÃo fotorrealÃstica â aquelas que procuram obter imagens que se assemelham a fotografias â utilizam mÃtodos de integraÃÃo baseados em Monte Carlo para resolver a equaÃÃo que descreve a distribuiÃÃo de luz na cena (equaÃÃo de renderizaÃÃo). Por ser um mÃtodo probabilÃstico e utilizar amostras geradas randomicamente, Monte Carlo produz ruÃdo na imagem final â resultado da variÃncia das amostras â e portanto, pode necessitar de uma grande quantidade de amostras para que o ruÃdo diminua a nÃveis aceitÃveis. Com o intuito de se obter imagens de melhor qualidade com uma menor quantidade de amostras, foram pospostas tÃcnicas de amostragem adaptativa que visam concentrar o esforÃo de amostragem em regiÃes mais importantes da cena. Neste trabalho, propÃe-se a modificaÃÃo de uma tÃcnica de amostragem adaptativa multidimensional por meio da adiÃÃo de duas etapas: substituiÃÃo de amostras e integraÃÃo auxiliar. Essas etapas visam dar mais robustez à tÃcnica, possibilitando sua utilizaÃÃo em uma maior variedade de situaÃÃes. AlÃm da adiÃÃo de duas etapas, tambÃm propÃe-se uma tÃcnica de reconstruÃÃo mais eficiente na etapa final.<br>This work proposes improvements in a multidimensional adaptive sampling technique for rendering. Rendering is the process of synthesizing images by algorithms simulating lighting in virtual scenes. The more general techniques of photorealistic rendering â those seeking images that resemble photographs â use integration methods based on Monte Carlo to solve the equation that describes the distribution of light in the scene (rendering equation). Being a probabilistic method which uses randomly generated samples, Monte Carlo produces noise in the final image â result of samplesâ variance â and therefore may require a large amount of samples to reduce the noise to acceptable levels. To obtain images of better quality with a lower number of samples, adaptive sampling techniques were proposed, concentrating sampling effort in the most important regions. In this work, we propose the addition of two steps to a multidimensional adaptive sampling technique: substitution of samples and auxiliary integration. These steps aim to give more strength to the technique, enabling their use in a wider variety of situations.
9
Chongburee, Wachira. "Digital Transmission by Hermite N-Dimensional Antipodal Scheme." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/11110.
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A new N-dimensional digital modulation technique is proposed as a bandwidth efficient method for the transmission of digital data. The technique uses an antipodal scheme in which parallel binary data signs baseband orthogonal waveforms derived from Hermite polynomials. Orthogonality guarantees recoverability of the data from N simultaneously transmitted Hermite waveforms. The signed Hermite waveform is transmitted over a radio link using either amplitude or frequency modulation. The bandwidth efficiency of the amplitude Hermite method is found to be as good as filtered BPSK in practice, while the bit error rates for both modulations are identical. Hermite Keying (HK), the FM modulation version of the N-dimensional Hermite transmission, outperforms constant envelope FSK in terms of spectrum efficiency. With a simple FM detector, the bit error rate of HK is as good as that of non-coherent FSK. In a frequency selective fading channel, the simulation results suggest that specific data bits of HK are relatively secure from errors, which is beneficial in some applications. Symbol synchronization is critical to the system. An optimal synchronization method for the N-dimensional antipodal scheme in additive white Gaussian noise channel is derived. Simulation results confirm that the synchronizer can operate successfully at E/No of 3 dB.<br>Ph. D.
10
Bicho, Luís Manuel Balsa. "Existence of minimizers for n-dimensional nonconvex integrals." Doctoral thesis, Universidade de Évora, 2013. http://hdl.handle.net/10174/15228.
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Primeiro demonstra-se a existência de minimizantes para o integral múltiplo
∫
Ω
ℓ∗∗ ( u (x) , ρ1 (x, u(x))∇u (x) ) ρ2 (x, u(x)) d x on W
1;1
u@
(Ω) ,
onde Ω ⊂ Rd é aberto e limitado, u : Ω → R pertence ao espaço de Sobolev
u@ (·) + W1;1
0 (Ω), u@ (·) ∈ W1;1 (Ω) ∩ C0
(
Ω
)
; ℓ : R×Rd → [0,∞] é superlinear
L⊗B−mensurável, ρ1(·, ·), ρ2(·, ·) ∈ C0 (Ω×R) ambos > 0 e ℓ∗∗(·, ·)
é apenas sci em (·, 0). Também se considera o caso
∫
Ω L∗∗ (x, u(x),∇u(x) ),
embora com hipóteses mais complexas, mas é igualmente possível ter L(x, ·, ξ)
não-sci para ξ ̸= 0;
Por último demonstra-se a existência de minimizantes radialmente
simétricos, i.e. uA(x) = UA ( |x| ), uniformemente contínous para o integral
múltiplo ∫
BR
L∗∗ ( u(x), |Du(x) | ) d x
na bola BR ⊂ Rd, u : Ω → Rm pertence ao espaço de Sobolev A +
W1;1
0 (BR, Rm ), L∗∗ : Rm×R → [0,∞] é convexa, sci e superlinear, L∗∗ ( S, · )
é par; note-se também que enquanto no caso escalar, m = 1, apenas
necessitamos de mais uma hipótese : ∃ min L∗∗ (R, 0 ), no caso vectorial,
m > 1, L∗∗ (·, ·) também tem de satisfazer uma restrição geométrica, a qual
chamamos quasi − escalar; sendo o exemplo mais simples de uma função
quasi − escalar o caso biradial L∗∗ ( | u(x) | , |Du(x) | ); ABSTRACT: First it is proved the existence of minimizers for the multiple integral
∫
Ω
ℓ∗∗ ( u (x) , ρ1 (x, u(x))∇u (x) ) ρ2 (x, u(x)) d x on W
1;1
u@
(Ω) ,
where Ω ⊂ Rd is open bounded, u : Ω → R is in the Sobolev space
u@ (·) + W1;1
0 (Ω), with boundary data u@ (·) ∈ W1;1 (Ω) ∩ C0
(
Ω
)
; and
ℓ : R×Rd → [0,∞] is superlinear L⊗B − measurable with ρ1(·, ·), ρ2(·, ·) ∈
C0 (Ω×R) both > 0 and ℓ∗∗(∫ ·, ·) only has to be lsc at (·, 0). The case
Ω L∗∗ (x, u(x),∇u(x) ) is also treated, though with less natural hypotheses,
but still allowing L(x, ·, ξ) non − lsc for ξ ̸= 0;
Lastly it is proved the existence of uniformly continuous radially
symmetric minimizers uA(x) = UA ( |x| ) for the multiple integral
∫
BR
L∗∗ ( u(x), |Du(x) | ) d x
on a ball BR ⊂ Rd, among the vector Sobolev functions u(·) in A +
W1;1
0 (BR, Rm ), using a convex lsc L∗∗ : Rm×R → [0,∞] with L∗∗ ( S, · )
even and superlinear; but while in the scalar m = 1 case we only need
one more hypothesis : ∃ min L∗∗ (R, 0 ), in the vectorial m > 1 case L∗∗ (·, ·)
also has to satisfy a geometric constraint, which we call quasi − scalar; the
simplest example being the biradial case L∗∗ ( | u(x) | , |Du(x) | ).
11
Santos, Jonas Deyson Brito dos. "Renderização com amostragem adaptativa no domínio N-dimensional." reponame:Repositório Institucional da UFC, 2013. http://www.repositorio.ufc.br/handle/riufc/18451.
Full textAbstract:
SANTOS, Jonas Deyson Brito dos. Renderização com amostragem adaptativa no domínio N-dimensional. 2013. 71 f. Dissertação (Mestrado em ciência da computação)- Universidade Federal do Ceará, Fortaleza-CE, 2013.<br>Submitted by Elineudson Ribeiro (elineudsonr@gmail.com) on 2016-07-11T17:21:09Z
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Previous issue date: 2013<br>This work proposes improvements in a multidimensional adaptive sampling technique for rendering. Rendering is the process of synthesizing images by algorithms simulating lighting in virtual scenes. The more general techniques of photorealistic rendering — those seeking images that resemble photographs — use integration methods based on Monte Carlo to solve the equation that describes the distribution of light in the scene (rendering equation). Being a probabilistic method which uses randomly generated samples, Monte Carlo produces noise in the final image — result of samples’ variance — and therefore may require a large amount of samples to reduce the noise to acceptable levels. To obtain images of better quality with a lower number of samples, adaptive sampling techniques were proposed, concentrating sampling effort in the most important regions. In this work, we propose the addition of two steps to a multidimensional adaptive sampling technique: substitution of samples and auxiliary integration. These steps aim to give more strength to the technique, enabling their use in a wider variety of situations.<br>Este trabalho propõe melhorias em uma técnica de amostragem adaptativa multidimensional para renderização. Renderização é o processo de síntese de imagens por meio de algoritmos que simulam a iluminação em cenários virtuais. As técnicas mais gerais de renderização fotorrealística — aquelas que procuram obter imagens que se assemelham a fotografias — utilizam métodos de integração baseados em Monte Carlo para resolver a equação que descreve a distribuição de luz na cena (equação de renderização). Por ser um método probabilístico e utilizar amostras geradas randomicamente, Monte Carlo produz ruído na imagem final — resultado da variância das amostras — e portanto, pode necessitar de uma grande quantidade de amostras para que o ruído diminua a níveis aceitáveis. Com o intuito de se obter imagens de melhor qualidade com uma menor quantidade de amostras, foram pospostas técnicas de amostragem adaptativa que visam concentrar o esforço de amostragem em regiões mais importantes da cena. Neste trabalho, propõe-se a modificação de uma técnica de amostragem adaptativa multidimensional por meio da adição de duas etapas: substituição de amostras e integração auxiliar. Essas etapas visam dar mais robustez à técnica, possibilitando sua utilização em uma maior variedade de situações. Além da adição de duas etapas, também propõe-se uma técnica de reconstrução mais eficiente na etapa final.
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Johansson, Bergholtz Emil. "One-dimensional theory of the quantum Hall system." Doctoral thesis, Stockholms universitet, Fysikum, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-7545.
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The quantum Hall (QH) system---cold electrons in two dimensions in a perpendicular magnetic field---is a striking example of a system where unexpected phenomena emerge at low energies. The low-energy physics of this system is effectively one-dimensional due to the magnetic field. We identify an exactly solvable limit of this interacting many-body problem, and provide strong evidence that its solutions are adiabatically connected to the observed QH states in a similar manner as the free electron gas is related to real interacting fermions in a metal according to Landau's Fermi liquid theory. The solvable limit corresponds to the electron gas on a thin torus. Here the ground states are gapped periodic crystals and the fractionally charged excitations appear as domain walls between degenerate ground states. The fractal structure of the abelian Haldane-Halperin hierarchy is manifest for generic two-body interactions. By minimizing a local k+1-body interaction we obtain a representation of the non-abelian Read-Rezayi states, where the domain wall patterns encode the fusion rules of the underlying conformal field theory. We provide extensive analytical and numerical evidence that the Laughlin/Jain states are continuously connected to the exact solutions. For more general hierarchical states we exploit the intriguing connection to conformal field theory and construct wave functions that coincide with the exact ones in the solvable limit. If correct, this construction implies the adiabatic continuation of the pertinent states. We provide some numerical support for this scenario at the recently observed fraction 4/11. Non-QH phases are separated from the thin torus by a phase transition. At half-filling, this leads to a Luttinger liquid of neutral dipoles which provides an explicit microscopic example of how weakly interacting quasiparticles in a reduced (zero) magnetic field emerge at low energies. We argue that this is also smoothly connected to the bulk state.
13
Lentfort, Christian. "Decentralized Indexing of Presentities over n-Dimensional Context Information." Thesis, Mittuniversitetet, Institutionen för informationsteknologi och medier, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-16902.
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Modern context-aware applications no longer justify their decisions based only on their own information but on the decisions and information of other applications in a similar context. Acquiring context information of other entities in an distributed system is difficult task when using the current content centric solutions such as DHTs. This project aims to build a distributed index that provides storage for the so called Presentities solely based on the state of their context information. Furthermore, the stored Presentities must be efficiently accessible even if only some information of their current context is available. To fulfill these requirements the PAST DHT was extended to support range queries and modified to use points on a space-filling curve as index values. The simulation of the system has shown very good accuracy rates, on average 99%, for range queries by maintaining a logarithmic relationship to the amount of required messages sent in the DHT. Problems have emerged from the lack of load balancing implemented into the used DHT, but it is still the case that the proposed method of using space-filling curves to build a context centric decentralized index is both sufficient and effective. Keywords: context awareness, indexing, space-flling curves, Hilbert curve,Pastry, PAST
14
Navarra, Alessandro. "Data structures and n-dimensional mechanics in materials science." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=112546.
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By extending the diagrams of materials science, the field is broadened in a natural way. For example, binary phase diagrams are like black boxes, used in the design and simulation of microstructures. They explore a balance of two chemical species, but real alloys have several chemical species, and merit a higher dimensional space. The n-dimensional extension is simplified by dividing the problem into discrete and continuous components.<br>"Discrete" is the identification of behavioural regimes, and their interactions, in a network graph. "Continuous" includes the curvature of boundaries, and the motion through the space. In thermochemical phase spaces, a homogenous alloy is mapped to a particle, whose motion represents the evolution of the alloy. Likewise, non-homogeneous alloys evolve as multidimensional continua.<br>The classical diagrams may also be hybridized. For example, TTT-curves may be treated as extra dimensions of a thermochemical phase space; the resulting hybrid synthesizes microstructural thermodynamics and kinetics.
15
Junior, Antonio Victor da Silva. "Hiperfunções no espaço euclidiano e no toro N-dimensional." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-02092017-111745/.
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Apresentamos uma construção para a teoria das hiperfunções no espaço euclidiano seguindo a abordagem de André Martineau baseada em funcionais analíticos e aplicando um teorema de dualidade de Jean-Pierre Serre. Estudamos também o teorema de divisão de hiperfunções por funções reais-analíticas, provado em Kantor e Schapira (1971). No último capítulo, desenvolvemos alguns aspectos da teoria das hiperfunções no toro.<br>We present the hyperfunction theory on the Euclidean space following André Martineau\'s approach based on analytic functionals and a duality theorem due to Jean- Pierre Serre. We also study a division theorem proved in Kantor and Schapira (1971). In the last chapter, we develop some aspects of hyperfunction theory on the torus.
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Gonzalez, Rafael Borro. "Resolubilidade global para campos vetoriais no toro n-dimensional." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-29092016-163857/.
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Abordaremos o estudo de condições para que certas equações diferenciais parciais tenham solução. Consideraremos equações do tipo Lu = f; onde tomamos L em algumas classes de campos vetoriais em toros de dimensão maior que dois. Tais campos vetoriais são operadores que agem no espaço das funções definidas no toro e que são infinitamente diferenciáveis. A principal questão é determinar quando tais operadores têm imagem fechada. Temos também interesse em saber quando que a imagem de tais operadores e um subespaço de codimensão finita, bem como estudar a regularidade de tais operadores. As respostas de tais questões envolvem certas propriedades dos coeficientes desses operadores, onde citamos: a conexidade de sub-níveis de primitivas da parte imaginária dos coeficientes; condições Diofantinas; a ordem de anulamento dos coeficientes e relações entre as ordens de anulamento das partes real e imaginária dos coeficientes; além disso, o número de vezes que a parte imaginária de um coeficiente c muda de sinal entre dois zeros consecutivos de c também desempenha um papel. Conseguimos caracterizar a resolubilidade e a hipoelíticidade global de campos vetoriais do tipo tubo em toros de dimensão maior do que dois, estendendo os resultados em dimensão dois. Depois, em dimensões, fornecemos condições que respondem sobre a imagem ser ou não fechada, para uma outra classe de campos vetoriais que não são do tipo tubo. Uma de tais condições esta relacionada com a famosa condição (P) de Nirenberg-Treves. Em particular, obtemos o mesmo para uma classe de campos vetoriais em dimensão são dois, para os quais a codimensão da imagem foi exaustivamente estudada.<br>We are concerned with the study of properties so that we can solve certain partial differential equations. We will consider equations of the form Lu = f; where we take L in some classes of vector fields on tori of dimension greater than two. This vector fields are viewed as operators acting on the space of smooth functions deffned on the torus. The main questions to study the closedness of the range of L. It is also of interest to know whe ther the range has finite codimension, as well as to study the regularity of L. The answers of these questions are connected with certain properties of the coeffcients of L; such as: Diophantine conditions; the connectedness of some sublevel sets involving primitive so fthe imaginary part of the coeffcients; the order of vanishing of each coeffcient and relations between the order of vanishing of the real and imaginary parts of each coeffcient; in addition, the number of times that the imaginary part of a coeffcient c changes sign between two consecutive zeros of c also plays a role. We characterize both global solvability and hypoellipticity for vector fields of tube type on tori of dimension greater than two, extending the results in dimension two. More over, in dimension three, we find conditions for the closedness of the range for a class of vector fields which are not of tube type. One of theese conditions is related to the well known Nirenberg-Treves condition (P). In particular,we obtain the same for a class of vector fields on the two- torus,for which the codimension of the range was largely studied.
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Abdullahi, Fatimah Binta. "Banded pattern mining for N-dimensional zero-one data." Thesis, University of Liverpool, 2016. http://livrepository.liverpool.ac.uk/3003955/.
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The objective of the research presented in this thesis is to investigate and evaluate a series of techniques directed at identifying banded patterns in zero-one data, starting from 2D data and then increasing the number of dimensions to be considered to 3D and then ND. To this end the term Banded Pattern Mining (BPM) has been coined; the process of extracting hidden banded patterns from data. BPM has wide applicability in areas where the domain of interest can be represented in the form of a matrix holding 1s and 0s. Five BPM algorithms are proposed (and a number of variations) directed at finding bandings in zero-one data: (i) 2D-BPM, (ii) Approximate 3D-BPM, (iii) Exact 3D-BPM, (iv) Approximate ND (AND) and (iv) Exact ND (END) BPM. This thesis describes and discusses each of these algorithms in detail. The main challenges of BPM are: (i) how best to identify bandings in 2D data sets without the need to consider large numbers of permutations, (ii) how to address situations where there is a possibility of multiple dots being located at individual locations in a ND zero-one (dot) data space of interest and (iii) how best to identify bandings with respect to large ND data sets that cannot be held in primary storage. To address the first issue a banding score mechanism is proposed that avoids the need to consider large numbers of permutations. This has been incorporated into the 2D-BPM algorithm. To address the second issue, the idea was to use a 'multiple dot' mechanism; a mechanism in the context of both the approximate and exact BPM algorithms that includes the possibility of some cells in the data space of interest holding more than one dot. To address the third issue, sampling and segmentation techniques were proposed to identify bandings in large ND data sets. Full evaluations of each of the BPM algorithms are presented. For evaluation purpose the data sets used were categorised as follows: (i) randomly generated synthetic data sets, (ii) UCI data sets and (iii) a specific application; the Great Britain (GB) Cattle Tracing System (CTS) database in operation in GB, from which 5D binary valued data sets were extracted and used. In the latter case the dimensions were: (i) records (number of animal movements), (ii) attributes, (iii) sender easting (x coordinate holding area), (iv) sender northing (y-coordinate holding areas) and (v) time (month). Other Banding application domains that could have been considered include: (i) network analysis, (ii) co-occurence analysis, (iii) VLSI chip design and (iv) graph drawing. An independent metric, Average Band Width (ABW), was proposed and used to measure the quality of bandings and provide a mechanism for the comparison of BPM algorithms. More specifically, data sets from 2003 to 2006 across four specific counties in GB were used; Aberdeenshire, Cornwall, Lancashire and Norfolk. The reported evaluation indicates that the use of approximate BPM (rather than exact BPM) produces more efficient results in terms of run-time, whilst the use of exact BPM provided promising results in terms of the quality of the bandings produced. The reported evaluation also indicates that a sound foundation has been established for future work with respect to high performance computing variations of the proposed BPM algorithms.
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Javerzat, Nina. "New conformal bootstrap solutions and percolation models on the torus Two-point connectivity of two- dimensional critical Q-Potts random clusters on the torus Three- and four-point connectivities of two-dimensional critical Q-Potts random clusters on the torus Topological effects and conformal invariance in long-range correlated random surfaces Notes on the solutions of Zamolodchikov- type recursion relations in Virasoro minimal models." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASP062.
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Les propriétés géométriques des phénomènes critiques ont généré un intérêt croissant en physique théorique ainsi qu'en mathématiques au cours des trente dernières années. Les systèmes de percolation sont l'exemple par excellence de tels phénomènes géométriques, où la transition de phase est caractérisée par le comportement de degrés de liberté non-locaux, les amas de percolation. Au point critique, ces amas sont des exemples d'objets aléatoires dont la mesure est invariante conforme, c'est à dire invariante sous tout changement d'échelle local. Nous ne savons en général pas caractériser complètement ces amas, ni même pour le modèle le plus simple de la percolation pure. En deux dimensions, la présence de la symétrie conforme a des conséquences particulièrement importantes. Dans cette thèse nous examinons les implications de cette symétrie sur les propriétés universelles des systèmes critiques bidimensionnels, en utilisant une approche dite de bootstrap conforme. La première partie détaille les implications générales de l'invariance conforme, en examinant ses conséquences sur les fonctions de corrélation. Sont considérés en particulier les effets induits par une topologie de tore, ce qui est appliqué dans la deuxième partie de la thèse à l'étude de modèle statistiques particuliers. Nous discutons également les propriétés analytiques des fonctions de corrélation et présentons des résultats sur des questions techniques liées à l'implémentation de méthodes numériques de bootsrap conforme en deux dimensions. La seconde partie est dédiée à l'étude de deux familles particulières de modèles critiques de percolation avec des corrélations de longue portée : le modèle d'amas aléatoires de Potts à Ǫ états, et un modèle de percolation de surfaces aléatoires. Nous explorons les propriétés percolatoires de ces modèles en étudiant les propriétés de connectivité des amas, c'est à dire les probabilités que des points appartiennent au même amas. Nous avons réalisé que les connectivités sur le tore représentent des observables très intéressantes. En les décrivant comme fonction de corrélation de champs quantiques dans une théorie des champs conforme, nous obtenons de nouveaux résultats sur les classes d'universalité de ces modèles<br>The geometric properties of critical phenomena have generated an increasing interest in theoretical physics and mathematics over the last thirty years. Percolation-type systems are a paradigm of such geometric phenomena, their phase transition being characterised by the behaviour of non-local degrees of freedom: the percolation clusters. At criticality, such clusters are examples of random objects with a conformally invariant measure, namely invariant under all local rescalings. Even in the simplest percolation model --pure percolation, we do not know how to fully characterise these clusters. In two dimensions, the presence of conformal symmetry has especially important implications. In this thesis we investigate the consequences of this symmetry on the universal properties of two-dimensional critical statistical models, by using a conformal bootstrap approach. The first part details the general implications of conformal invariance, by examining its consequences on correlation functions. Are addressed in particular the effects induced by the torus topology, applied in the second part to the study of specific statistical models. We also examine the analytic properties of correlation functions and present results on technical questions related to the implementation of numerical conformal bootstrap methods in two dimensions. The second part is devoted to the study of two specific families of critical long-range correlated percolation models: the random cluster Q-state Potts model and the percolation of random surfaces. We investigate the percolative properties of these models by studying the clusters connectivity properties, namely the probability that points belong to the same cluster. We find that the connectivities on a torus represent particularly interesting observables. By describing them as correlation functions of quantum fields in a conformal field theory, we obtain new results on the universality classes of these models
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Aïssiou, Tayeb. "Semiclassical limits of eigenforms and eigenfunctions on n-dimensional tori." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66866.
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In this thesis, we study the rate of convergence of eigenfunctions of the Laplace operator on $n$-dimensional at tori. After stating some well known results about the convergence of the eigenfunctions and their Fourier expansion due to Bourgain, Jakobson, and Mockenhaupt, we prove Jakobson's conjecture, which states that the Fourier expansion of the square of eigenfunctions on $n$-dimensional tori are in $l^n$. The proof is given by a geometric lemma that uses the convexity of $S^n$<br>Dans cet exposé, nous étudions la convergence des fonctions propres del'opérateur Laplace sur un tore plat de dimension $n$. Après avoir énoncéquelques résultats bien connus sur la convergence de ces fonctions propres etde leur décomposition de Fourier dus à Bourgain, Jakobson et Mockenhaupt,nous prouvons la conjecture de Jakobson dont l'énoncé dit que la série deFourier du carré d'une fonction propre de l'opérateur Laplace sur un toreplat de dimension $n$ est dans $l^n$. La preuve utilise un lemme qui exploite laconvexité de $S^n$.
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Jiang, Yu. "CMOS n-dimensional m-level hysteresis circuits and possible applications." College Park, Md.: University of Maryland, 2007. http://hdl.handle.net/1903/7721.
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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Dept. of Electrical and Computer Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Fritsch, Nico [Verfasser], and Nicolai [Akademischer Betreuer] Burzlaff. "One Dimensional Coordination Polymers Based On Bridging N,N Donor Ligands / Nico Fritsch. Gutachter: Nicolai Burzlaff." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2014. http://d-nb.info/1075477344/34.
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Lou, Guang Ping. "Three-dimensional simulation of N₂O transport and antarctic vortex evolution." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/25760.
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Link, David John. "BOOTSTRAP ENHANCED N-DIMENSIONAL DEFORMATION OF SPACE WITH ACOUSTIC RESONANCE SPECTROSCOPY." UKnowledge, 2009. http://uknowledge.uky.edu/gradschool_diss/728.
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Acoustic methods can often be used with limited or no sample preparations making them ideal for rapid process analytical technologies (PATs). This dissertation focuses on the possible use of acoustic resonance spectroscopy as a PAT in the pharmaceutical industry. Current good manufacturing processes (cGMP) need new technologies that have the ability to perform quality assurance testing on all products. ARS is a rapid and non destructive method that has been used to perform qualitative studies but has a major drawback when it comes to quantitative studies. Acoustic methods create highly non linear correlations which usually results in high level computations and chemometrics.
Quantification studies including powder contamination levels, hydration amounts and active pharmaceutical ingredient (API) concentrations have been used to test the hypothesis that bootstrap enhanced n-dimensional deformation of space (BENDS) could be used to overcome the highly non linear correlations that occur with acoustic resonance spectroscopy (ARS) eliminating a major drawback with ARS to further promote the device as a possible process analytical technology (PAT) in the pharmaceutical industry. BENDS is an algorithm that has been created to calculate a reduced linear calibration model from highly non linear relationships with ARS spectra. ARS has been shown to correctly identify pharmaceutical tablets and with the incorporation of BENDS, determine the hydration amount of aspirin tablets, D-galactose contamination levels of Dtagatose powders and the D-tagatose concentrations in resveratrol/D-tagatose combinatory tablets.
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Sviercoski, Rosangela. "Multiscale Analytical Solutions and Homogenization of n-Dimensional Generalized Elliptic Equations." Diss., The University of Arizona, 2005. http://hdl.handle.net/10150/194912.
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In this dissertation, we present multiscale analytical solutions, in the weak sense, to the generalized Laplace's equation in Ω ⊂ Rⁿ, subject to periodic and nonperiodic boundary conditions. They are called multiscale solutions since they depend on a coefficient which takes a wide possible range of scales. We define forms of nonseparable coefficient functions in Lᵖ(Ω) such that the solutions are valid for the periodic and nonperiodic cases. In the periodic case, one such solution corresponds to the auxiliary cell problem in homogenization theory. Based on the proposed analytical solution, we were able to write explicitly the analytical form for the upscaled equation with an effective coefficient, for linear and nonlinear cases including the one with body forces. This was done by performing the two-scale asymptotic expansion for linear and nonlinear equations in divergence form with periodic coefficient. We proved that the proposed homogenized coefficient satisfies the Voigt-Reiss inequality. By performing numerical experiments and error analyses, we were able to compare the heterogeneous equation and its homogenized approximation in order to define criteria in terms of allowable heterogeneity in the domain to obtain a good approximation. The results presented, in this dissertation, have laid mathematical groundwork to better understand and apply multiscale processes under a deterministic point of view.
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Del, Zotto Michele. "Four-dimensional N=2 superconformal quantum field theories and BPS-quivers." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4813.
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Lee, Ken Koon-Hung. "Three-dimensional N x N passive optical star coupler based on the exact eigenmode coupling and diffraction theory." Thesis, University of Ottawa (Canada), 1992. http://hdl.handle.net/10393/7609.
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A technique for a 3-Dimensional passive N x N optical star coupler is described. 3-Dimensional antiresonant reflecting optical waveguides (ARROW) are analyzed and utilised as the input and output waveguides of the N x N coupler. The effective Index Method will be employed to replace the 3-Dimensional ARROW waveguide by an equivalent slab waveguide with its refractive index profile determined by the geometrical shape of the ARROW Waveguide. In the slab waveguide analysis, the input waveguides are coupled to their neighbours. The interaction of the waveguides is described in terms of the normal modes. The resultant field distribution is then diffracted into the free space region which separates the input and output sections. The radiation illuminates the receiving aperture from which the receiving waveguide branches into N different individual output elements, each output element obtaining equal power levels. Different types of loss such as bending loss, spill-over loss, mismatch loss, reflection loss were analyzed and estimated for N = 5. A 5 x 5 star coupler with a transmission efficiency of 56% at a wavelength of 1.3 $\mu$m is achievable.
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Sharaf, Khadijah Abdullah Mohammed. "On the prescribed mean curvature problem on the standard n-dimensional ball." Thesis, University of Leicester, 2013. http://hdl.handle.net/2381/28493.
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In this thesis, we consider the problem of existence of conformal scalar flat metric with prescribed boundary mean curvature on the standard n-dimensional ball. Let B[superscript n] be the unit ball in R[superscript n], n ≥ 3, with Euclidean metric g[subscript 0]. Its boundary will be denoted by S[superscript n-1] and will be endowed with the standard metric still denoted by g[subscript 0]. Let H : S[superscript n-1] → R be a given function, we study the problem of finding a conformal metric g = u 4/n-2 g[subscript 0] such that R[subscript g] = 0 in B[superscript n] and h[subscript g] = H on S[superscript n-1]. Here R[subscript g] is the scalar curvature of the metric g in B[superscript n] and h[subscript g] is the mean curvature of g on S[superscript n-1]. This problem is equivalent to solving the following nonlinear boundary value equation: (see PDF for equation) where v is the outward unit vector with respect to the metric g[subscript 0]. In general there are several difficulties in facing this problem by means of variational methods. Indeed, in virtue of the non-compactness of the embedding H[superscript 1](B[superscript n]) → L 2(n-1)/n-2 (∂B[superscript n]), the Euler-Lagrange functional J associated to the problem, does not satisfy the Palais-Smale condition, and that leads to the failure of the standard critical point theory. One part of this thesis deals with the case where H is a Morse function satisfying a non degeneracy condition. Using an algebraic topological method and the tools of the theory of the critical points at infinity, we provide a variety of classes of functions that can be realized as the mean curvature on the boundary of the the n-dimensional balls. The other part deals with the case where the non degeneracy condition is not satisfied and replaced by the so called β-flatness condition. In this case, we give precise estimates on the losses of the compactness and we identify the critical points at infinity of the variational problem. Then, we establish under generic boundary condition a Morse inequalities at infinity, which give a lower bound on the number of solutions to the above problem.
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Assamagan, Ketevi Adikle. "Two-dimensional analytical model of an n+-p-p+ concentrator solar cell." Virtual Press, 1989. http://liblink.bsu.edu/uhtbin/catkey/560283.
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A successful model that could accurately predict the performances of n+-p-p+ concentrator solar cells should include a model of carrier photogeneration rates consistent with the spectral content of the incident light. Furthermore, a finite back surface recombination velocity should be considered since new techniques such as 'Back Surface Field' were developed to reduce the recombination rate at the rear of the cell.In the present work, a two-dimensional concentrator solar cell is modeled for low levels of injection. The model however, assumes an incident light containing one single wavelength. The incident light is assumed to decrease linearly from the center of the illuminated area until it vanishes at the edges of the cell. Finite recombination velocities are taken into account at the front and the back surfaces. Finite-width space charge regions are also included. The transport equations are solved for the carrier concentrations in different regions of the cell. The current density expressions are derived. The generation of theoretical current voltage characteristics is outlined. However, the use of these characteristics to predict cell performances is left for further research.<br>Department of Physics and Astronomy
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Pye, Jonathan Walter. "Three-dimensional crustal structure of the East Pacific Rise at 9 ̊N." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.615832.
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Aguiar, Marilton Sanchotene de. "Um modelo categorizador intervalar n-dimensional com l-camadas baseado em tesselações." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2003. http://hdl.handle.net/10183/5733.
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O ICTM (Interval Categorizer Tesselation Model), objeto da presente tese, é um modelo geral para análise de espaços de natureza geométrica, baseado em tesselaçoes, que é capaz de produzir uma categorização confiável de conjunto de pontos de um dado espaço, de acordo com múltiplas características dos pontos, cada característica correspondendo a uma camada do modelo. Por exemplo, na análise de terrenos geográficos, uma região geográfica pode ser analisada de acordo com a sua topografia, vegetaçao, demografia, dados econômicos etc, cada uma gerando uma subdivisão diferente da região. O modelo geral baseado em tesselações não está restrito, porém, a análise de espaços bi-dimensionais. O conjunto dos pontos analisados pode pertencer a um espaço multidimensional, determinando a característica multi-dimensional de cada camada. Um procedimento de projeção das categorizações obtidas em cada camada sobre uma camada básica leva a uma categorização confiavel mais significante, que combina em uma só classificação as análises obtidas para cada característica. Isto permite muitas análises interessantes no que tange a dependência mútua das características. A dimensão da tesselação pode ser arbitrária ou escolhida de acordo com algum critério específico estabelecido pela aplicação. Neste caso, a categorização obtida pode ser refinada, ou pela re-definição da dimensão da tesselação ou tomando cada sub-região resultante para ser analisada separadamente A formalização nos registradores pode ser facilmente recuperada apenas pela indexação dos elementos das matrizes, em qualquer momento da execução. A implementação do modelo é naturalmente paralela, uma vez que a análise é feita basicamente por regras locais. Como os dados de entrada numéricos são usualmente suscetíveis a erros, o modelo utiliza a aritmética intervalar para se ter um controle automático de erros. O modelo ICTM também suporta a extração de fatos sobre as regiões de modo qualitativo, por sentenças lógicas, ou quantitativamente, pela análise de probabilidade. Este trabalho recebe apoio nanceiro do CNPq/CTPETRO e FAPERGS.
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Forcey, Stefan Andrew. "Loop Spaces and Iterated Higher Dimensional Enrichment." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/11147.
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There is an ongoing massive effort by many researchers to link category theory and geometry, especially homotopy coherence and categorical coherence. This constitutes just a part of the broad undertaking known as categorification as described by Baez and Dolan. This effort has as a partial goal that of understanding the categories and functors that correspond to loop spaces and their associated topological functors. Progress towards this goal has been advanced greatly by the recent work of Balteanu, Fiedorowicz, Schwänzl, and Vogt who show a direct correspondence between k–fold monoidal categories and k–fold loop spaces through the categorical nerve.
This thesis pursues the hints of a categorical delooping that are suggested when enrichment is iterated. At each stage of successive enrichments, the number of monoidal products seems to decrease and the categorical dimension to increase, both by one. This is mirrored by topology. When we consider the loop space of a topological space, we see that paths (or 1–cells) in the original are now points (or objects) in the derived space. There is also automatically a product structure on the points in the derived space, where multiplication is given by concatenation of loops. Delooping is the inverse functor here, and thus involves shifting objects to the status of 1–cells and decreasing the number of ways to multiply.
Enriching over the category of categories enriched over a monoidal category is defined, for the case of symmetric categories, in the paper on A∞–categories by Lyubashenko. It seems that it is a good idea to generalize his definition first to the case of an iterated monoidal base category and then to define V–(n + 1)–categories as categories enriched over V–n–Cat, the (k−n)–fold monoidal strict (n+1)–category of V–n–categories where k<n ∈ N. We show that for V k–fold monoidal the structure of a (k−n)–fold monoidal strict (n + 1)–category is possessed by V–n–Cat.<br>Ph. D.
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Moodley, Mervlyn. "Hierarchy of N-body correlations in different dimensions /." View online ; access limited to URI, 2003. http://0-wwwlib.umi.com.helin.uri.edu/dissertations/dlnow/3115635.
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Walsh, Timothy A. "Dimensional stacking in three dimensions." Worcester, Mass. : Worcester Polytechnic Institute, 2008. http://www.wpi.edu/Pubs/ETD/Available/etd-012108-200050/.
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Datar, Aniket. "AFM investigation of one-dimensional self-assembly of n-type organic semiconducting molecules /." Available to subscribers only, 2006. http://proquest.umi.com/pqdweb?did=1203563051&sid=13&Fmt=2&clientId=1509&RQT=309&VName=PQD.
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Walsh, Dominic Anthony. "A nonperturbative study of three dimensional quantum electrodynamics with N flavours of fermion." Thesis, Durham University, 1990. http://etheses.dur.ac.uk/6046/.
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This work is concerned with the breaking of chiral symmetry in gauge theories and the associated generation of a dynamical mass scale. We investigate this phenomenon in the context of a simple model, three dimensional QED, where the complicating factor of infinite renormalisations is absent. This model possesses an intrinsic scale, set by the coupling [e(^2)] = M, and it is the relationship between this and the dynamically generated mass scale that is of interest. The chiral symmetry breaking mechanism is investigated using the Schwinger Dyson equations which are then truncated in a nonperturbative manner using the Ball-Chiu vertex ansatz. The complexity of the resulting coupled fermion-photon system means that the photon is initially replaced by its perturbative form. Numerical investigations of this simplified system then reveal the existence of an exponential relationship, in terms of the dimensionless parameter N, between the intrinsic and dynamical mass scales, m ~ e(^2) exp(-cN). Contrary to the assertions of Appelquist et al the wavefunction renormalisation was found to be nonperturbative and crucial in determining this behaviour. The sensitivity of this mechanism to the nonperturbative behaviour of the photon is investigated. A simple analysis shows it to be far stronger than previously expected. This is confirmed by a numerical analysis of the coupled photon-fermion system which suggest the relationship between the two scales in the theory is of the form m ~ e(^2) exp(-cN(^2)). This model therefore illustrates how a large hierarchy of scales may naturally occur in a gauge theory, for instance N=3 m/a ~ 10(^-5). Finally an investigation of the gauge dependence of this approach is initiated. The softening of the photon in the low momentum region is shown to amplify automatically any inadequacy of the vertex ansatz by factors of O(a/m) in all but the Landau gauge. It is therefore expected that any incomplete vertex form will result in the generation of a "critical gauge", ɛ(_e), below which chiral symmetry breaking solutions will not exist. A path of further investigation is suggested.
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HrgovcÌ, iÄ Hrvoje J. (Hrvoje Josip). "Discrete representations of n-dimensional wave equations and their applications to quantum mechanics." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/28014.
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Li, Yuhao. "Multiclass Density Estimation Analysis in N-Dimensional Space featuring Delaunay Tessellation Field Estimation." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-301958.
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Multiclass density estimation is a method that can both estimate the density of a field and classify a given point to its targeted class. Delaunay Tessellation Field Estimation is a tessellation based multiclass density estimation technique that has recently been resurfaced and has been applied in the field of astronomy and computer science. In this paper Delaunay Tessellation Field Estimation is compared with other traditional density estimation techniques such as Kernel Density Estimation, k-Nearest Neighbour Density, Local Reachability Density and histogram to deliver a detailed performance analysis. One of the main conclusions is that Delaunay Tessellation Field Estimation scales in the number of data points but not the dimensions.
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Carbone, Gaspare. "Invariants of N-Dimensional PL-Manifolds from the (Re)Coupling of Angular Momenta." Doctoral thesis, SISSA, 2000. http://hdl.handle.net/20.500.11767/4229.
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Beagles, A. E. "Theoretical and numerical treatment of singularities in elliptic boundary value problems." Thesis, Brunel University, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.377357.
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Hirayama, Takayuki. "Low Energy Dynamics of Four Dimensional N=1 Supersymmetric Gauge Theories and Phenomenological Applications." 京都大学 (Kyoto University), 2000. http://hdl.handle.net/2433/181112.
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Kowalczyk, Piotr. "Analytical and numerical investigations of sliding bifurcations in n dimensional piecewise smooth dynamical systems." Thesis, University of Bristol, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.271797.
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Stábile, Régis Leandro Braguim 1985. "Estimativas para n-Larguras e números de entropia de conjuntos de funções suaves sobre o toro T^d." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306556.
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Orientador: Sergio Antonio Tozoni<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-25T19:58:00Z (GMT). No. of bitstreams: 1
Stabile_RegisLeandroBraguim_D.pdf: 1552111 bytes, checksum: af2b74d1076ee2c6dd825049748fd3fd (MD5)
Previous issue date: 2014<br>Resumo: As teorias de n-larguras e de entropia foram introduzidas por Kolmogorov na década de 1930. Desde então, muitos trabalhos têm visado obter estimativas assintóticas para n-larguras e números de entropia de diferentes classes de conjuntos. Neste trabalho, investigamos n-larguras e números de entropia de operadores multiplicadores definidos sobre o toro d-dimensional. Na primeira parte, estabelecemos estimativas inferiores e superiores para n-larguras e números de entropia de operadores multiplicadores gerais. Na segunda parte, aplicamos estes resultados para operadores multiplicadores específicos, associados a conjuntos de funções finitamente e infinitamente diferenciáveis sobre o toro. Em particular, demonstramos que as estimativas obtidas são exatas em termos de ordem em diversas situações<br>Abstract: The theories of n-widths and entropy were introduced by Kolmogorov in the 1930s. Since then, many works aims to find estimates for n-widths and entropy numbers of different classes of sets. In this work, we investigate n-widths and entropy numbers of multiplier operators defined on the d-dimensional torus. In the first part, upper and lower bounds are established for n-widths and entropy numbers of general multiplier operators. In the second part, we apply these results to specific multiplier operators, associated with sets of finitely and infinitely differentiable functions on the torus. In particular, we prove that, the estimates obtained are order sharp in various situations<br>Doutorado<br>Matematica<br>Doutor em Matemática
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Meurer, Martin [Verfasser], der Mosel Heiko [Akademischer Betreuer] von, and Alfred [Akademischer Betreuer] Wagner. "Integral Menger Curvature and Rectifiability of n-dimensional Borel sets in Euclidean N-space / Martin Meurer ; Heiko von der Mosel, Alfred Wagner." Aachen : Universitätsbibliothek der RWTH Aachen, 2015. http://d-nb.info/112753159X/34.
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Perz, Jan. "Black hole attractors and the entropy function in four- and five-dimensional N=2 supergravity." Diss., [S.l.] : [s.n.], 2007. http://edoc.ub.uni-muenchen.de/archive/00007446.
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Winarno, Eko Yuli 1958. "Semi-analytical partial n'th collision source correction for multi-dimensional S(N) photon transport calculations." Thesis, The University of Arizona, 1993. http://hdl.handle.net/10150/278363.
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A Semi-Analytical Partial n'th Collision Source (SAPNCS) method that is fully compatible with the standard three-dimensional SN has been developed. The method generates a matrix operator that calculates scattering source for particles that have suffered n collisions in a selected number of mesh cells. Adopting this scattering source as distributed source, the standard three-dimensional SN method then calculates the remaining contribution to the flux. The sum of uncollided and collided fluxes yields total flux. Several tests for photon transport calculation in x-y-z geometry have been fully conducted and the illustrative results demonstrating the capability of the method to mitigate and eliminate the observable ray effects are presented.
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Hales, Riley Chad. "A New Method and Python Toolkit for General Access to Spatiotemporal N-Dimensional Raster Data." BYU ScholarsArchive, 2021. https://scholarsarchive.byu.edu/etd/8882.
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Scientific datasets from global-scale scientific models and remote sensing instruments are becoming available at greater spatial and temporal resolutions with shorter lag times. These data are frequently gridded measurements spanning two or three spatial dimensions, the time dimension, and often several data dimensions which vary by the specific dataset. These data are useful in many modeling and analysis applications across the geosciences. Unlike vector spatial datasets, raster spatial datasets lack widely adopted conventions in file formats, data organization, and dissemination mechanisms. Raster datasets are often saved using the Network Common Data Format (NetCDF), Gridded Binary (GRIB), Hierarchical Data Format (HDF), or Geographic Tagged Image File Format (GeoTIFF) file formats. Several of these are entirely or partially incompatible with common GIS software which introduces additional complexity in extracting values from these datasets. We present a method and companion Python package as a general-purpose tool for extracting time series subsets from these files using various spatial geometries. This method and tool enable efficient access to multidimensional data regardless of the format of the data. This research builds on existing file formats and software rather than suggesting new alternatives. We also present an analysis of optimizations and performance.
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Dolgov, Sergey [Verfasser], Boris N. [Akademischer Betreuer] Khoromskij, Boris N. [Gutachter] Khoromskij, and Reinhold [Gutachter] Schneider. "Tensor product methods in numerical simulation of high-dimensional dynamical problems / Sergey Dolgov ; Gutachter: Boris N. Khoromskij, Reinhold Schneider ; Betreuer: Boris N. Khoromskij." Leipzig : Universitätsbibliothek Leipzig, 2014. http://d-nb.info/1238789064/34.
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Bertoli, Giulio. "Many-body Localization of Two-dimensional Disordered Bosons." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS031/document.
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Au sein de physique des systèmes quantiques désordonnés, le domaine des atomes ultra-froids est en pleine croissance. En l’occurrence, l'étude de la relation entre la localisation et les interactions a permis de découvrir la richesse de la physique de la localisation à N-corps. Ce phénomène remarquable fournit un mécanisme pour la brisure de l'ergodicité dans les systèmes quantiques isolés et désordonnés. Plusieurs questions ont été évoquées après cette découverte, comme la possibilité d'une transition fluide-isolant à température finie. Dans cette thèse, j'étudie la localisation à N-corps dans le contexte de bosons désordonnés à deux dimensions. Dans la première partie, je présente l'étude d'un gaz interactif de Bose bidimensionnel dans un potentiel aléatoire à température finie. Le système présente deux transitions à température finie: la transition de localisation à N-corps entre fluide et isolant, et la transition de Berezinskii-Kosterlitz-Thouless entre superfluide algébrique et fluide. J'examine ensuite l'influence de la troncature de la distribution d'énergie dû au piégeage, un phénomène générique dans le cadre du refroidissement d'atomes ultra-froids. Finalement, je conclus en discutant la stabilité de la phase isolante dans des systèmes définis sur un continuum<br>The study of the interplay between localization and interactions in disordered quantum systems led to the discovery of the interesting physics of many-body localization (MBL). This remarkable phenomenon provides a generic mechanism for the breaking of ergodicity in quantum isolated systems, and has stimulated several questions such as the possibility of a finite-temperature fluid-insulator transition. At the same time, the domain of ultracold interacting atoms is a rapidly growing field in the physics of disordered quantum systems. In this thesis, we study many-body localization in the context of two-dimensional disordered ultracold bosons. After reviewing some importance concepts, we present a study of the phase diagram of a two-dimensional weakly interacting Bose gas in a random potential at finite temperatures. The system undergoes two finite-temperature transitions: the MBL transition from normal fluid to insulator and the Berezinskii-Kosterlitz-Thouless transition from algebraic superfluid to normal fluid. At T=0, we show the existence of a tricritical point where the three phases coexist. We also discuss the influence of the truncation of the energy distribution function at the trap barrier, a generic phenomenon for ultracold atoms. The truncation limits the growth of the localization length with energy and, in contrast to the thermodynamic limit, the insulator phase is present at any temperature. Finally, we conclude by discussing the stability of the insulating phase with respect to highly energetic particles in systems defined on a continuum
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Ying, Tsang Min. "Multifunctional N,O-type carborane-based materials: from molecular complexes to three dimensional metal-organic frameworks." Doctoral thesis, Universitat Autònoma de Barcelona, 2015. http://hdl.handle.net/10803/305240.
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1) Por un lado se describe la síntesis de derivados del orto-, meta- y/o para-carborano mono- and bis-funcionalizados con grupos alcohol metil piridinas, con énfasis en la naturaleza quiral de dichasmoléculas y las estructurassupramoleculares en el estadosólido. El análisis de las estructurasmoleculares y supramoleculares de los derivados monosubstituidos racémicos y enantioméricamente puros obtenidos se han comparado con derivados relacionados anteriormente publicados. Esto ha permitido encontrar una correlación entre los ángulos de torsión OCCN de las moléculas y quiralidad de las hélices supramoleculares que se observan en dichasestructuras. En el caso de los derivados bis-funcionalizados, los resultados muestran que las estructuras supramoleculares estándominadas por interacciones de hidrógeno OH…N y/o OH…O. El análisis de dichasestructuras ha revelado una posible preferencia por el autoensamblado homoquiral frente al heteroquiral.
2) Por otrolado se describe la química de coordinación de los derivados orto- y meta-carborano mono-funcionalizados con grupos alcohol metil piridinas. Así, se han preparado y caracterizado complejos dinucleares quirales de Fe(III) asimétricos. Se han estudiado propiedades magnéticas, quirópticas y en óptica no líneal. En este apartado se describe una sorprendentere solución expontánea por precipitación. El bloquefinaliza con los primerosejemplos de complejos de Cu(I) de los ligandos monosubstituidos, todo sellos luminiscentes en estadosólido.
3) En otra sección de la tesis se han recogidotodos los resultados referentes a la química de coordinación de los derivados orto- y meta-carborano bis-funcionalizados con grupos alcohol metil 2-piridina. Por un lado se describe la síntesis, caracterización y propiedades catalíticas de una serie de complejos NBN pincer de paladio. Por otro, se describen los primeros ejemplos de complejos dinucleares de Fe(III) con los ligandos bis-funcionalizados.
4) En el últimoapartado se describentodos los resultados encontrados en la química de coordinación de los derivados orto- y meta-carborano bis-funcionalizados con grupos alcohol metil 3- y 4-piridinas. La rica capacidad de coordinación de estos nuevosligandos bis-funcionalizados ha permitido preparar complejos moleculares de Pd, polímeros de coordinación de Zn y una novedos a familia de Metal Organic Frameworks (MOFs) en los que se combinan los ligandos bis-funcionalizados con acidos carboxílicosorgánicos y Zn o Co. En este último apartado se describen las propiedades que los ligandos bis-funcionalizados aportan a los MOFs, entre las que se encuentra una mayor estabilidad en agua.<br>1) The first section describes the synthesis and characterization of the mono- and di-substituted carborane-based pyridylalcohol derivatives with ortho-, meta- and/or para-carborane, with emphasis onthe chiral nature and supramolecular structures of such molecules in the solid state.The molecular and supramolecular structures for the racemic and enantiopure monosubstituted derivatives have been compared with those previously reported. It has been found a possible correlation between the OCCN torsion angles of the molecules and the chirality of the supramolecular helices found in the structures. In the case of the di-substituted derivatives, it was found that the supramolecular structures are dominated by intermolecular OH…N and/or OH…O hydrogen bonds. The analysis of the structures revealed a preference for homochiral self-assembly over heterochiral.
2) Then it is described the coordination chemistry of monosubstituted methylalcohol pyridine ortho- and meta-carborane derivatives. Thus, chiral and unsymmetric Fe (III) complexes have been prepared and characterized. It has been studied their magnetic, chiroptical and non lineal optical properties. It is also described a surprising spontaneous resolution on precipitation. This part is then ended with the first examples of Cu (I) complexes incorporating the monosubstituted ligands and their luminescence properties in the solid state.
3) In the following section of the thesis it is summarized all results dealing with the coordination chemistry of disubstituted methylalcohol 2-pyridine ortho- and meta-carborane derivatives. On one hand it is described the synthesis, characterization and catalytic properties of a series of NBN palladium pincer complexes. On another hand, it is described the first examples of dinuclear Fe (III) complexes with such disubstituted ligands.
4) In the last part it is described all results found on the coordination chemistry of disubstituted ortho- and meta-carborane derivatives with 3- and 4-pyridyl alcohol groups. The rich coordination ability of these new di-substituted ligands has allowed the preparation of molecular Pd complexes, Zn coordination polymers and a novel family of Metal Organic Frameworks (MOFs). The latter being a combination of disubstituted ligands, organic polycarboxylic acids and Zn or Co. In this last part, it is described the properties that the disubstituted ligands transfer to the MOFs, such as for example, water stability.
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Barns-Graham, Alexander Edward. "Much ado about nothing : the superconformal index and Hilbert series of three dimensional N =4 vacua." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/287950.
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We study a quantum mechanical $\sigma$-model whose target space is a hyperKähler cone. As shown by Singleton, [184], such a theory has superconformal invariance under the algebra $\mathfrak{osp}(4^*|4)$. One can formally define a superconformal index that counts the short representations of the algebra. When the hyperKähler cone has a projective symplectic resolution, we define a regularised superconformal index. The index is defined as the equivariant Hirzebruch index of the Dolbeault cohomology of the resolution, hereafter referred to as the index. In many cases, the index can be explicitly calculated via localisation theorems. By limiting to zero the fugacities in the index corresponding to an isometry, one forms the index of the submanifold of the target space invariant under that isometry. There is a limit of the fugacities that gives the Hilbert series of the target space, and often there is another limit of the parameters that produces the Poincaré polynomial for $\mathbb C^\times$-equivariant Borel-Moore homology of the space. A natural class of hyperKähler cones are Nakajima quiver varieties. We compute the index of the $A$-type quiver varieties by making use of the fact that they are submanifolds of instanton moduli space invariant under an isometry. Every Nakajima quiver variety arises as the Higgs branch of a three dimensional $\mathcal N =4$ quiver gauge theory, or equivalently the Coulomb branch of the mirror dual theory. We show the equivalence between the descriptions of the Hilbert series of a line bundle on the ADHM quiver variety via localisation, and via Hanany's monopole formula. Finally, we study the action of the Poisson algebra of the coordinate ring on the Hilbert series of line bundles. We restrict to the case of looking at the Coulomb branch of balanced $ADE$-type quivers in a certain infinite rank limit. In this limit, the Poisson algebra is a semiclassical limit of the Yangian of $ADE$-type. The space of global sections of the line bundle is a graded representation of the Poisson algebra. We find that, as a representation, it is a tensor product of the space of holomorphic functions with a finite dimensional representation. This finite dimensional representation is a tensor product of two irreducible representations of the Yangian, defined by the choice of line bundle. We find a striking duality between the characters of these finite dimensional representations and the generating function for Poincaré polynomials.