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Dissertations / Theses on the topic 'R-Curves'

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1

Torchiani, Carolin [Verfasser]. "Enumerative geometry of rational and elliptic tropical curves in R m / Carolin Torchiani." München : Verlag Dr. Hut, 2014. http://d-nb.info/1055863834/34.

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2

Karastamatis, Thomas. "Measuring the R-curves of lead zirconate titanate (PZT) from a surface crack in flexure (SCF)." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/16713.

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3

Lexen, Ernst R. [Verfasser], and Peter H. [Akademischer Betreuer] Hauschildt. "Parameter sensitivity of synthetic spectra and light curves of Type Ia supernovae / Ernst R. Lexen. Betreuer: Peter H. Hauschildt." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2014. http://d-nb.info/1048626199/34.

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4

田中, 啓介, Keisuke TANAKA, 義明 秋庭 та ін. "多孔質セラミックスの切欠き破壊強度のR曲線法による評価". 日本機械学会, 2003. http://hdl.handle.net/2237/9143.

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5

Khor, WeeLiam. "Crack tip opening displacement (CTOD) in single edge notched bend (SEN(B))." Thesis, Brunel University, 2018. http://bura.brunel.ac.uk/handle/2438/16198.

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This thesis investigates the quantity Crack Tip Opening Displacement (CTOD) as a means to assess fracture toughness when measured in the Single Edge Notched Bend (SENB) specimen setup. A particular objective is to assess the effectiveness of the test when used for high strain-hardening materials (e.g. stainless steels). This has been an increasing concern as the current available methods were generally designed for lower strain hardening structural steel. Experimental work on CTOD tests included silicone casting of the crack, and constant displacement tests were also performed. The silicone ca
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6

Varadarajan, Ravikumar. "On the Nature of Static and Cyclic Fracture Resistance of Ultra High Molecular Weight Polyethylenes Used in Total Joint Replacements." Case Western Reserve University School of Graduate Studies / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=case1164903681.

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7

Bonazzi, Luís Henrique Camargo. "Comportamento em fadiga da liga Al-Li AA 2050." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/18/18158/tde-17112017-172453/.

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As novas ligas de alumínio que contém lítio são atraentes devido à sua baixa densidade, alto módulo elástico, elevada resistência mecânica e por terem boa resistência à corrosão em comparação com ligas similares que não contém lítio. A degradação do material devido à fadiga e corrosão são os dois principais fatores que contribuem para o envelhecimento de uma aeronave. O objetivo deste trabalho é estudar a resistência à fadiga de uma nova liga de Al-Li, denominada de AA 2050-T84, considerando os estágios de nucleação e de propagação. No primeiro caso são avaliados o efeito da variação do concen
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8

Dotta, Fernando. "Previsão da pressão de colapso em dutos para transporte de gás e petróleo contendo defeitos planares incorporando curvas de resistência J-R: uma abordagem micromecânica utilizando critérios locais." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/3/3135/tde-27112006-172735/.

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Este estudo estende a abordagem micromecânica baseada em células computacionais e a abordagem baseada em deformação utilizando o critério de CTOA para descrever extensão dúctil de trincas longitudinais em dutos de aços de elevada tenacidade sob alta pressão. Ensaios laboratoriais realizados em aços API 5L X60 e X70 utilizando corpos-de-prova padronizados de fratura com trinca profunda, produzem os resultados necessários para medir as curvas de resistência à propagação de trincas e calibrar os parâmetros dos modelos de Gurson e CTOA para estes materiais. O foco central deste trabalho é a aplica
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9

Rádsetoulal, Milan. "Hodnocení lomového chování svarových spojů používaných v energetickém průmyslu." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-442748.

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This thesis is focused on assessment of fracture behaviour of heterogeneous welded joint. The goal is to determine fracture behaviour at the interface of ferritic base metal and austenitic weld metal at temperature of 255°C. This kind of weld is widely used at energy industry. Fracture toughness was evaluated using CT specimens with size 0,5T in order to determine the initiation values of stable crack propagation. Fracture behaviour of the weld is correlated with results of metallography and fractography analysis. Both light and scanning electron microscopy is used for fractography analysis. A
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10

Francisco, Julio Cesar de Souza. "Resistência à propagação dúctil de trincas em aço API 5L X70 com teor de nióbio modificado." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/18/18150/tde-30032016-110448/.

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Aplicações de alto desempenho, como as de dutos utilizados no transporte de derivados de petróleo, exigem materiais com uma combinação excepcional de propriedades mecânicas, dentre as quais, elevada resistência mecânica, tenacidade e resistência à fadiga. O aço API 5L X70 com adição de nióbio apresenta-se, quando comparado com o API 5L X70 padrão, como sendo uma opção para a melhora em seu processo de fabricação, sendo sua composição química diferenciada, devido a um maior teor de nióbio. A Arcelor Mittal Tubarão tem mostrado interesse em fabricar aços API X70/X80, sem a adição de V e com adiç
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11

Francisco, Julio Cesar de Souza. "Avaliação da tenacidade à fratura de aço API 5L X70 utilizado na fabricação de dutos transportadores de gás e petróleo." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/18/18150/tde-19012011-111506/.

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A avaliação da integridade estrutural de dutos pelo uso de corpos-de-prova laboratoriais depende da escolha de corpos-de-prova de geometrias que representem condições de restrições plásticas na frente da trinca, similares às encontradas nas condições operacionais dos dutos. O Núcleo de Ensaios de Materiais e Análise de Falhas, NEMAF do SMM, EESC-USP vem realizando pesquisas para o desenvolvimento de corpos-de-prova e metodologias experimentais que melhor represente esta situação. Entretanto, no caso de dutos existem situações onde a geometria e o tamanho do corpo-de-prova são limitados pelas d
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12

Lima, Toni Roger Schifelbain de. "Desenvolvimento de metodologia para determinação de curvas de resistência à fratura de materiais elasto-plásticos pela análise do campo deformacional à frente da ponta da trinca." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2011. http://hdl.handle.net/10183/36011.

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Os conceitos de mecânica da fratura têm sido cada vez mais utilizados em projetos de engenharia, permitindo a determinação de tamanhos críticos de defeito ou limites de solicitação em função da presença de trincas. No entanto, para aplicar com sucesso esses conceitos em uma avaliação de integridade estrutural é de suma importância a determinação exata do comportamento a fratura do material. Materiais com comportamento elasto-plástico têm ocupado cada vez mais lugar de destaque em estruturas e componentes críticos de engenharia e a maneira mais utilizada para caracterização da tenacidade à frat
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13

Chaudhry, Farzana Saeed. "Smooth motion of a rigid body in R'2 and R'3." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301888.

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14

Pauletti, Ederson. "ESTUDO DA INFLUÊNCIA DO FENÔMENO DA DELAMINAÇÃO NA TENACIDADE À FRATURA DE AÇOS API 5L X60 E X70 EM ESPÉCIMES SE(T)." UNIVERSIDADE ESTADUAL DE PONTA GROSSA, 2013. http://tede2.uepg.br/jspui/handle/prefix/1424.

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Made available in DSpace on 2017-07-21T20:42:39Z (GMT). No. of bitstreams: 1 Ederson Pauletti.pdf: 5739200 bytes, checksum: 362611be295a3342251b72d168512c61 (MD5) Previous issue date: 2013-03-22<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>In this work the ductile crack growth resistance curves (J-R curves) was evaluated for the steels used in the oil and gas pipelines from the X60 and X70 API 5L grades using the unloading compliance technique. The non standardized SE (T) specimens were used due to the same has low constraint, it is feature of pipelines. The plastic area
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15

Canterle, Joseane Ortiz Breitenbach. "Avaliação da tenacidade à fratura do aço API 5L X70 em diferentes meios de etanol." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2014. http://hdl.handle.net/10183/114982.

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Com a implementação do Programa Nacional do Álcool (Proálcool), Protocolo de Quioto e substituição do MBTE (metil-terci-butil eter) em alguns países nos últimos anos, houve um aumento significativo da produção de etanol. Os dois maiores produtores mundiais de etanol são os Estados Unidos e o Brasil, sendo o etanol oriundo do Milho e da Cana-de-açucar, respectivamente. Transporte por dutos é a forma mais econômica para grandes quantidades, porém, há evidências de que esses dutos de transporte, e também fundo de tanques de armazenamento, possam ser susceptíveis ao fenômeno de corrosão sob tensão
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16

Smilovic, Mikhail. "Curves on a plane." Thesis, McGill University, 2012. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=106605.

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In this thesis, we study the space of immersions from the circle to the plane Imm(S¹,R²), modulo the group of diffeomorphisms on S¹. We discuss various Riemannian metrics and find surprisingly that the L²-metric fails to separate points. We show two methods of strengthening this metric, one to obtain a non-vanishing metric, and the other to stabilize the minimizing energy flow. We give the formulas for geodesics, energy and give an example of computed geodesics in the case of concentric circles. We then carry our results over to the larger spaces of immersions from a compact manifold M to a Ri
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17

Miyamoto, Ian D. "Primes and elliptic curves." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=64085.

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18

Silva, Maurício de Carvalho. "Caracterização das propriedades mecânicas e metalúrgicas do aço API 5L X 80 e determinação experimental de curvas J-R para avaliação da tenacidade a fratura." Universidade de São Paulo, 2004. http://www.teses.usp.br/teses/disponiveis/3/3135/tde-11022005-162828/.

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Caracterizar propriedades de resistência à propagação de trinca em materiais dúcteis é um elemento central em métodos de avaliação de integridade estrutural de dutos destinados ao transporte de gás, petróleo e seus derivados que utilizam os aços ARBL. Sendo assim, o objetivo deste trabalho foi estudar as propriedades de fratura dúctil do aço API 5L X80, através da obtenção da curva de resistência à propagação estável de defeitos (curvas J-R) do material. O ensaio de tenacidade à fratura para obtenção da curva J-R foi conduzido utilizando a técnica do corpo-de-prova único (single specimen) empr
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19

Malkoun, Joseph. "Holomorphic curves in projective spaces." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=99350.

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If f : C → Pn is a holomorphic curve in complex projective n-space whose image does not lie in a hyperplane, and if xi1, . . . xin+2 are n + 2 hyperplanes of Pn in general position, then the curve f must intersect one of them. We will prove a quantitative refinement of this theorem for n ≤ 2, the so-called defect relations, by expanding the material in Chern's paper [4].
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20

Dourado, Nuno Miguel Moura Marcelo de Valentin Gérard. "R-Curve behaviour and size effect of a quasibrittle material wood /." S. l. : S. l. : Bordeaux 1 ; Universidade do Porto (Portugal), 2008. http://ori-oai.u-bordeaux1.fr/pdf/2008/DOURADO_NUNO_2008.pdf.

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Thèse de doctorat : Sciences physiques et de l'ingénieur. Mécanique : Bordeaux 1 : 2008. Thèse de doctorat : Sciences physiques et de l'ingénieur. Mécanique : Universidade do Porto (Portugal) : 2008.<br>Titre provenant de l'écran-titre.
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Dourado, Nuno Miguel. "R-Curve behaviour and size effect of a quasibrittle material : wood." Thesis, Bordeaux 1, 2008. http://www.theses.fr/2008BOR13734/document.

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Ce travail concerne des expériences mécaniques, des analyses numériques et des modélisations analytiques de la rupture cohésives (Mode I), vis-à-vis de l’étude du comportement mis en évidence par la courbe de Résistance (Courbe-R) et l’effet d’échelle de structures entaillées en bois massif. Des expériences de fissuration sont combinées à des analyses numériques pour déterminer les propriétés de rupture au moyen d’une procédure appelée Théorie de la Mécanique de la Rupture Linéaire Élastique équivalente (TMRLE), basée sur la complaisance de la structure. La courbe-R, obtenue à partir des expér
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Liu, Yin. "Intersection curves between quadric surfaces of revolution." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22659.

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A novel algebraic method is used to determine the intersection between two bi-quadratic surfaces. The underlying idea is to deal with functional decomposition by reducing the order of high-degree functions and thereby overcome the problems common to other methods.
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23

Clark, David Alan. "L-series and ranks of elliptic curves." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=61910.

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Ramsay, Craig R. "Assessing the learning curves of health technologies." Thesis, University of Aberdeen, 2000. http://digitool.abdn.ac.uk/R?func=search-advanced-go&find_code1=WSN&request1=AAIU602014.

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Many health technologies exhibit some form of learning effect, and this represents a barrier to rigorous assessment by randomised controlled trials. There is reluctance to evaluate while the technique is being learnt, yet unwillingness to admit uncertainty once it has been learnt. In principle, statistical description of a learning curve and subsequent adjustment of an evaluation to take account of learning effects should solve this problem. Exactly how the analyses should be performed has been unclear. This thesis has three components: Systematic review of health technology assessment literat
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Fortin, Boisvert Mélisande. "Cycles on the moduli space of hyperelliptic curves." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=78361.

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Oort gave a complete description of symplectic commutative group schemes killed by p and of rank p2g . Each such group appears as the p-torsion group scheme of some principally polarized abelian variety and this classification can be given in terms of final sequences. In this thesis, we focus on the particular situation where the abelian variety is the Jacobian of a hyperelliptic curve. We concentrate on describing the subspace of the moduli space of hyperelliptic curves, or rather the cycle, corresponding to a given final sequence. Especially, we concentrate on describing the subspace
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Yeboah, Charles Asomaning. "Genetic variability of growth curves in dairy heifers." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=116065.

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The objective of this study was to evaluate the variability of growth curves of dairy heifers and estimate genetic parameters. 15066 records taken from birth until 26 months (808 days) on 2754 heifers of Quebec were considered. The pedigree file comprised 10123 animals. The Mixed procedure of SAS with ordinary polynomials was used for simple phenotypic analyses, fitting fixed linear, quadratic and cubic regressions of body weight (in kilograms) on age (in months) as well as random intercept, and random linear and quadratic regressions for each animal. The Wombat program (Meyer, 2007), with Leg
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27

Bernardini, Chiara. "Un risultato di h-principle per curve a curvatura costante in R^n." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21250/.

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Oggetto di questa tesi è mostrare che ogni curva liscia immersa nello spazio euclideo n-dimensionale, può essere deformata in una curva con curvatura costante, mediante una perturbazione arbitrariamente piccola della curva iniziale e delle sue rette tangenti. Tale valore costante della curvatura deve essere maggiore o uguale del massimo della curvatura della curva iniziale, e si dimostra che tale limite inferiore è ottimale. Questo significa che le curve lisce di curvatura costante, soddisfano, secondo la terminologia di Gromov, il `relative C^1-dense h-principle' nello spazio delle curve imme
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Cheung, C. M. S. "The R-curve approach for the fracture assessment of an aluminium alloy bridge." Thesis, Swansea University, 2001. https://cronfa.swan.ac.uk/Record/cronfa42424.

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A result of fatigue testing on a full scale aluminium alloy bridge, which is used by the military for temporary crossings, showed an unexpected increase in fracture resistance, compared with its plane strain K[IC]. This increase was due to a combination of low constraint and large stable crack extension in the bridge components. Previous work had attributed the increase to the loss of constraint alone, but the present work shows stable cracking is equally important. The effect of stable cracking in the bridge alloy was first examined experimentally in large 25mm thick 3PB specimens which were
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Déchène, Isabelle. "Quaternion algebras and the graph method for elliptic curves." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21537.

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The graph method simultaneously uses the theory of quaternion algebras, elliptic curves and modular forms in order to determine all supersingular points in a given characteristic and hence to obtain a basis of S2(N). The goal of this thesis is to expose the principles of the graph method: it is therefore divided into two main parts: First, we introduce the essentials of the arithmetic of quaternions. This part is made to fit two needs: on one hand, a good introduction or novices; on the other hand, a fast and quick reference for those who are already familiar with the subject. The second part
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Tomberg, Artour. "Derived categories of coherent sheaves on smooth projective curves." Thesis, McGill University, 2011. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103661.

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We define derived categories over arbitrary abelian categories and then study the particular case of the bounded derived category of coherent sheaves over a smooth projective curve.<br>On définit d'abord la catégorie dérivée d'une catégorie abélienne quelconque et ensuite on étudie le cas particulier de la catégorie dérivée bornée des faisceaux cohérents sur une courbe projective non-singulière.
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David, Chantal. "From discrete tangent fields to global curves : dynamic coverings." Thesis, McGill University, 1989. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=61904.

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Savadjiev, Peter. "Perceptual organisation in diffusion MRI: curves and streamline flows." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=32390.

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This thesis proposes a new computational framework for the modeling of biological tissue structure in diffusion MRI data. By measuring the local Brownian motion of water molecules, diffusion MRI provides estimates of local fibre orientations in tissues such as the white matter of the brain. Over the last years, diffusion MRI has become an important tool for the in vivo study of brain connectivity. Nevertheless, the inference of the structure of white matter fibres is still an open problem. The methodology
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Zhao, Yu. "The Birch and Swinnerton-Dyer conjecture for Q-curves." Thesis, McGill University, 2011. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103574.

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The main result of this thesis is the proof of a Kolyvagin-like result for Q-curves defined over Q=(square root N) of perfect square conductor (including trivial conductor) over that field. Such a setting lies beyond the scope of the general results of Zhang [Zh1] because of the absence of a Shimura curve parameterization for E. This thesis also describes an explicit construction of Heegner points on E in a setting which so far has not yet studied in the literature and provides numerical examples. In turn, these computations yield numerical evidence for a conjectural connection, which we propo
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Gournay, Antoine 1980. "Heegner points on elliptic curves of conductor less than 3000." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81335.

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Elliptic curves are one of the important class of problems in diophantine equations. In this thesis, we describe how to obtain algebraic points (called Heegner points) on elliptic curves. We first go over the necessary definitions and theorems in order to properly study these points and their properties. We pay a particular attention to the property of these point to have integral coordinates or not. We also explain how to make explicit computations of these points and discuss the result of extensive computations made on the elliptic curves of conductor less than 3000, and give a list o
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Parent, Pierre 1953. "Trace inference, curvature consistency, and curve detection." Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66100.

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De, Garie Luc. "Effects of banked-curves on ankle and knee kinematics during running." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=97940.

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Given that a greater injury incidence has been shown for indoor versus outdoor running tracks, attention to mechanical differences in curve running is warranted. Hence, the main objective of this study was to compare knee and ankle kinematics of runners while running on an indoor track with a flat curve and a banked-curve in young elite runners. Six elite runners participated in the study. Knee and ankle kinematics were measured while the subjects ran on a flat curve and a 19% banked-curve. No significant differences were observed in left and right knee and ankle peak angular displacements bet
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Desramaut, Nicolas. "Estimation of intensity duration frequency curves for current and future climate." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=40816.

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Climate variability and change are expected to have important impacts on the hydrologic cycle at different temporal and spatial scales In order to build long-lasting drainage systems, civil engineers and urban planners should take into account these potential impacts in their hydrological simulations. However, even if Global Climate Models (GCM) are able to describe the large-scale features of the climate reasonably well, their coarse spatial and temporal resolutions prevent their outputs from being used directly in impact assessment models at regional or local scales. This study proposes a
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Jin, Ming 1975. "Arc length based parametric cubic curves for real-time video gaming." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81541.

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In many exciting modern video games, one of the player's main tasks is to move and control the "hero" or alter-ego on a curved path. This is also a key issue in more serious applications like an automobile driver training simulator. In order to determine where the vehicle is at any time, while the speed is controlled with the trainee's accelerator pedal, we need a computationally efficient way to establish this position by, say, defining an arc length parameterized curve to represent the "road" or other trajectory constraint. To compute the are length of a parametric curve or define the
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Murias, Juan Manuel. "The effect of banked-curves on running mechanics : plantar foot pressures." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=97976.

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The purpose of this study was to investigate the dynamic patterns of pressure distribution of curved running with and without banked surfaces at two speeds. Seven male elite runners ran at 3.8 m/s and 7.0 m/s in three different conditions: (1) straight, and along a curve with either (2) no side inclination or (3) an inclination of 19%. Running speed significantly affected peak pressure for plantar foot regions (p&lt;0.05); however, few significant main effects were found for surface running condition or foot side. Center of pressure displacement showed similar patterns in both the medial-later
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Iverson, Lee A. "The description of image curves : discrete forms of continuity in space." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=61829.

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Shrestha, Kiran. "Experimental measurement of air-water capillary pressure curves at elevated temperatures." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=117220.

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A capillary pressure curves provides important information about the porous system such as porosity, breakthrough pressure, fluid–solid wettability and capillary hysteresis. The measurement of capillary pressure curves is one of the most commonly adopted methods of measuring wettability in a porous system. However, to date these measurements are done only at room temperature because of the limitations of utilising existing equipment at higher temperatures. The capillary behaviour of liquid in porous system can be a different when subjected to harsh condition such as high temperature and pressu
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Garroway, Diana. "A haptic interface for editing space curves with applications to animation authoring /." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=82487.

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Animators working with 3D models and data typically are still bound to 2D interaction simply because input devices, such as mice, and display devices, such as graphic screens, are 2D. We present a new multi-modal interface for editing 3D motion data. We explore the use of a haptic device for intuitive input and feedback in 3D. Animators are allowed to create 3D animations in a uniform environment that permits interactive editing of the space curves. In the basic mode, the haptic device guides the hand of the user along a trajectory that was previously specified as an animation. Editing
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Lemelin, Dominic. "Mazur-Tate type conjectures for elliptic curves defined over quadratic imaginary fields." Thesis, McGill University, 2001. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=38217.

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Elliptic curves defined over quadratic imaginary fields K have been studied less than those defined over Q . They are nevertheless conjecturally modular and Birch and Swinnerton-Dyer conjectures have been stated for them as well.<br>For elliptic curves over Q , Mazur and Tate have formulated some refined conjectures of Birch and Swinnerton-Dyer type. They define an element theta belonging to a group ring Z[G] where G is the Galois group of a finite abelian extension of Q , and conjecture that it belongs to a power of the augmentation ideal I &sube; Z[G] that is at least the rank of E( Q ). The
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Heinrich, Benedikt [Verfasser], and Heinrich von [Akademischer Betreuer] Weizsäcker. "Curve interactions in R^2: An analytical and stochastical approach / Benedikt Heinrich. Betreuer: Heinrich von Weizsäcker." Kaiserslautern : Technische Universität Kaiserslautern, 2013. http://d-nb.info/1044294183/34.

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Simhon, Shlomo Saul. "A machine learning framework for the classification and refinement of hand drawn curves /." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=102174.

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This thesis presents a machine learning framework for the automatic classification and refinement of curves. The proposed framework is composed of both a representation and a family of algorithms for making inferences from examples, given suitable guidance from a user. The underlying computational paradigm taken consists of applying Hidden Markov Models to a wavelet representation of the curves of interest, each of which is presented as part of a pair of examples. The learning framework is exemplified by developing a gesture-based interface for two distinct applications: robot path planning an
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Grand'Maison, Jérôme. "Determining the Zeta function of curves via p-adic cohomology and deformation theory." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=18779.

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This thesis has two main parts: both of which aim at computing the Zeta function of some curves. The first part contains the theoretical and practical considerations to make K. Kedlaya's algorithm and some of its generalizations work. We review important properties of the Monsky-Washnitzer cohomology, the Weil conjectures and piece the bits together in order to provide an algorithm that would compute the Zeta function of a superelliptic curve, due to P. Gaudry and N. Gürel. In the second part, we present an algorithm to compute the Zeta function of a Cab curve using deformation theory. The gen
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Masdeu, Sabaté Marc. "CM cycles on varieties fibered over Shimura curves, and «p»-adic «L»-functions." Thesis, McGill University, 2010. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=95183.

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Let f be a modular form of weight k ≥ 4 on a Shimura curve, let K be a quadratic imaginary field, and fix a rational prime p which is inert in K and di- vides the level of f. The goal of this thesis is to construct and study a collection of algebraic cycles on an appropriate Chow motive which encode data about the anticyclotomic p-adic L-function Lp(f,K,s) attached to f and K introduced by Bertolini-Darmon-Iovita-Spieß in [BDIS02]. In our setting, this function of a p-adic variable s vanishes in the critical range s = 1,...,k−1, and we study its derivative. After constructing this motive and t
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Zúñiga, Munizaga Andrés Jahir. "Entire solutions to the inhomogeneous allen-cahn equation in R^2, with a transition on a noncompact curve." Tesis, Universidad de Chile, 2012. http://www.repositorio.uchile.cl/handle/2250/111186.

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Ingeniero Civil Matemático<br>Este trabajo de memoria de título presenta un estudio de la ecuación de perturbación singular de Allen-Cahn con inhomogeneidad: \begin{equation}\ep^2\div\left(a(x)\cdot\nabla_{x}u(x)\right)+a(x)f(u(x))=0,\quad\text{ en }\quad\R^2 \label{AllenCahnEq}\end{equation} donde $\varepsilon>0$ es un parámetro pequeño, $a(x)$ es un potencial uniformemente positivo y suave, que induce una forma de medir distancias para puntos en $\R^2$, y $f$ es la nolinealidad dada por $f(u)=u-u^3$. El estudio aborda la construcción de soluciones enteras de~\eqref{AllenCahnEq}, bajo la co
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Longhi, Ignazio. "Non-archimedean integration and special values of L-functions for elliptic curves over function fields." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=36821.

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Let F be a global function field of characteristic p, infinity a fixed place of F. The analytic uniformization of elliptic curves in characteristic p by means of Drinfeld modular curves is used to associate to an elliptic curve E over F with split multiplicative reduction at infinity a measure muE on P1Finfinity . By choosing an appropriate embedding of a quadratic extension K/F into the matrix algebra M 2(F), the measure muE is pushed forward to a measure on the p-adic group G, isomorphic to an anticyclotomic Galois group over the Hilbert class field of K. It is proven that integration of thi
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Dubuc, Benoit. "On estimating fractal dimension." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63968.

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