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Relevant bibliographies by topics / Geometry Mathematical models / Dissertations / Theses

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Dissertations / Theses on the topic 'Geometry Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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1

Liu, Yang, and 劉洋. "Optimization and differential geometry for geometric modeling." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40988077.

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2

Tucker, Gayle. "Mathematical modelling in neurophysiology : neuronal geometry in the construction of neuronal models." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414405.

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3

Chou, Chia-Peng. "A mathematical model of building daylighting based on first principles of astrometry, solid geometry and optical radiation transfer." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/82904.

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There is a growing recognition in design professions that lighting is a significant factor in energy consideration. This has generated an interest in daylighting; the bringing of direct and diffuse daylight into buildings to reduce the use of artificial lighting. Many methods exist for quantifying diffuse daylight distribution for use in the design of buildings, but the methods vary widely both in technique and capability. Moreover, no present method deals with direct daylight (sunshine) distribution. Additionally, none have taken advantage of improvements in computer technology that make feas

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4

張麗霞 and Lai-ha Freda Cheung. "On envelopes and envelope theorem." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31976505.

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5

Koehl, Christian. "Geometry of supersymmetric sigma models and D-brane solitons." Thesis, Queen Mary, University of London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325106.

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6

Tran, Tat Dat. "Information Geometry and the Wright-Fisher model of Mathematical Population Genetics." Doctoral thesis, Universitätsbibliothek Leipzig, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-90508.

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My thesis addresses a systematic approach to stochastic models in population genetics; in particular, the Wright-Fisher models affected only by the random genetic drift. I used various mathematical methods such as Probability, PDE, and Geometry to answer an important question: \"How do genetic change factors (random genetic drift, selection, mutation, migration, random environment, etc.) affect the behavior of gene frequencies or genotype frequencies in generations?”. In a Hardy-Weinberg model, the Mendelian population model of a very large number of individuals without genetic change factors

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7

Mazzetti, Caterina. "A mathematical model of the motor cortex." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/15002/.

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In this work we present a geometric model of motor cortex that generalizes an already existing model of visual cortex. The thesis opens by recalling the notions of fiber bundles, principal bundles, Lie groups and sub-Riemannian geometry. In particular, we enunciate Chow’s theorem which ensures that if the Hörmander condition holds, the space connectivity property is satisfied. Then we recall the visual cortex model proposed by Citti-Sarti, which describes the set of simple cells as a Lie group with sub-Riemannian metric. The original part of the thesis is the extension to the motor corte

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8

Soderquist, Hans Lars. "Automatic geometric data migration throughout views of a model fidelity family /." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1184.pdf.

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9

Grudić, Gregory Z. "Iterative inverse kinematics with manipulator configuration control and proof of convergence." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/42018.

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A complete solution to the inverse kinematics problem for a large class of practical manipulators, which includes manipulators with no closed form inverse kinematics equations, is presented in this thesis. A complete solution to the inverse kinematics problem of a manipulator is defined as a method for obtaining the required joint variable values to establish the desired endpoint position, endpoint orientation, and manipulator configuration; the only requirement being that the desired solution exists. For all manipulator geometries that satisfy a set of conditions (THEOREM I), an algorith

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10

Schuerg, Frank. "Fractal geometry of iso-surfaces of a passive scalar in a turbulent boundary layer." Thesis, Available online, Georgia Institute of Technology, 2004:, 2003. http://etd.gatech.edu/theses/available/etd-04082004-180358/unrestricted/schuerg%5ffrank%5f200312%5fms.pdf.

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11

Nespolo, Rodrigo Fernando. "Uma proposta de ensino de matemática para a educação básica." Universidade Tecnológica Federal do Paraná, 2014. http://repositorio.utfpr.edu.br/jspui/handle/1/1093.

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Neste trabalho apresenta-se uma proposta de ensino que tem como interesse a motivação dos alunos para aprenderem matemática. Foram pesquisadas diversas bibliografias que propõem a Modelagem Matemática como alternativa de ensino da matemática, ligando conhecimento escolar ao cotidiano do aluno. Na sequência, relatamos nossa proposta de ensino aplicada a uma turma do sexto ano do Ensino Fundamental na qual foram trabalhados os conteúdos de circunferência e seus elementos, os números irracionais e operações com números decimais, através da atividade que denominamos “Festa da Matemática”. Nesta pr

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12

Morkel, Chantelle. "Non-interactive modeling tools and support environment for procedural geometry generation." Thesis, Rhodes University, 2006. http://eprints.ru.ac.za/242/.

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13

Lundholm, Douglas. "Zero-energy states in supersymmetric matrix models." Doctoral thesis, KTH, Matematik (Avd.), 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-12846.

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The work of this Ph.D. thesis in mathematics concerns the problem of determining existence, uniqueness, and structure of zero-energy states in supersymmetric matrix models, which arise from a quantum mechanical description of the physics of relativistic membranes, reduced Yang-Mills gauge theory, and of nonperturbative features of string theory, respectively M-theory. Several new approaches to this problem are introduced and considered in the course of seven scientific papers, including: construction by recursive methods (Papers A and D), deformations and alternative models (Papers B and C), a

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14

Geja, Nokuzola Hlaleleni. "Investigating a way of teaching transformation geometry in grade 9 applying van Hiele’s theory and Kilpatrick’s model : a case study." Thesis, Rhodes University, 2015. http://hdl.handle.net/10962/d1020601.

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Transformation geometry has been neglected in our schools because teachers are often not proficient enough to teach it, as it was not part of the syllabus during their training. The study investigates effective ways of teaching transformation geometry in grade 9, applying van Hiele’s theory (1986) of geometry teaching and learning and Kilpatrick’s model of mathematical proficiency. The teaching programme activities require consistent use of physical manipulatives by the teacher for effective teaching, learning and understanding of geometric concepts. The type of study is a case study. Data col

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15

Whitmer, Kelly Joan. "Learning to see in the Pietist Orphanage : geometry, philanthropy and the science of perfection, 1695-1730." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/2427.

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This is a dissertation about the Halle method, or the visual pedagogies of the Pietist Orphanage as they were developed in the German university town of Halle from 1695 until 1730. A “Pietist” was someone who was affiliated with an evangelical reform movement first initiated by Philipp Jakob Spener in the 1670s. A long and deeply entrenched historiographical tradition has portrayed the Halle proponents of this movement—especially their leader August Hermann Francke—as zealous, yet practical, Lutheran reformers who were forced to directly confront the ideals of early Enlightenment in conjunct

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16

Calatroni, Luca. "New PDE models for imaging problems and applications." Thesis, University of Cambridge, 2016. https://www.repository.cam.ac.uk/handle/1810/256139.

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Variational methods and Partial Differential Equations (PDEs) have been extensively employed for the mathematical formulation of a myriad of problems describing physical phenomena such as heat propagation, thermodynamic transformations and many more. In imaging, PDEs following variational principles are often considered. In their general form these models combine a regularisation and a data fitting term, balancing one against the other appropriately. Total variation (TV) regularisation is often used due to its edgepreserving and smoothing properties. In this thesis, we focus on the design of T

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17

O'Neill, Finbarr Gerard. "Mathematical model of trawl cod-end geometry." Thesis, University of Aberdeen, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.265381.

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To ensure that the conservation regulations which govern fishing gears are effective, they must be based on an understanding of the process by which fish are selected. The region where most fish selection is considered to take place is the cod-end, the aftmost part of a trawl net and the region where the catch accumulates. In recent years, it has become increasingly apparent that fish selection in the cod-end is dependent on a range of physical, environmental and fish behavioural parameters. Essential to a study of any of these parameters is a knowledge of the cod-end geometry which is determi

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18

Franceschiello, Benedetta. "Cortical based mathematical models of geometric optical illusions." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066131/document.

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Cette thèse présente des modèles mathématiques pour la perception visuelle et s'occupe des phénomènes où on reconnait une brèche entre ce qui est représenté et ce qui est perçu. La complétion amodale consiste en percevoir un complètement d'un object qui est partiellement occlus, en opposition avec la complétion modale, dans laquelle on perçoit un object même si ses contours ne sont pas présents dans l'image [Gestalt, 99]. Ces contours, appelés illusoires, sont reconstruits par notre système visuelle et ils sont traités par les cortex visuels primaires (V1/V2) [93]. Des modèles géométriques de

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19

Dunn, Sara-Jane Nicole. "Towards a computational model of the colonic crypt with a realistic, deformable geometry." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:c3c9440a-52ac-4a3d-8e1c-5dc276b8eb6c.

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Colorectal cancer (CRC) is one of the most prevalent and deadly forms of cancer. Its high mortality rate is associated with difficulties in early detection, which is crucial to survival. The onset of CRC is marked by macroscopic changes in intestinal tissue, originating from a deviation in the healthy cell dynamics of glands known as the crypts of Lieberkuhn. It is believed that accumulated genetic alterations confer on mutated cells the ability to persist in the crypts, which can lead to the formation of a benign tumour through localised proliferation. Stress on the crypt walls can lead to bu

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20

Sanfelice, Paulo Cesar. "Embalando e despachando: a relação mútua entre modelos geométricos e a aprendizagem escolar." Universidade Tecnológica Federal do Paraná, 2017. http://repositorio.utfpr.edu.br/jspui/handle/1/2734.

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Este trabalho apresenta uma proposta de abordagem de modelação matemática voltada principalmente aos últimos anos da educação básica. Com base nos pressupostos da resolução de problemas, explora-se diversos conteúdos com significação. O fenômeno social a ser modelado consiste no formato e variações nas dimensões de embalagens a serem despachadas pelos Correios. As representações geométrica, gráfica e algébrica serão valorizadas no decorrer do desenvolvimento das atividades. A título de aprofundamento dos estudos, serão sugeridas algumas articulações possíveis entre conteúdos da educação básica

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21

Safuanov, Ildar S., and Valery A. Gusev. "Creative mathematical activity of the students in the model of differentiated teaching in Russian Federation." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-80882.

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In this paper, creative mathematical activities of school pupils in conditions of the differentiated teaching in Russian Federation are described. Various forms of differentiated teaching (internal – level, external – profile) are characterized. Ways of using entertaining problems for detecting and fostering mathematical abilities are revealed. New course of geometry for differentiated teaching is introduced.

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22

Björnberg, Jakob Erik. "Graphical representations of Ising and Potts models : stochastic geometry of the quantum Ising model and the space-time Potts model." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/224774.

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Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic properties as external conditions are varied. Two models in particular are of great interest to mathematicians, namely the Ising model of a magnet and the percolation model of a porous solid. These models in turn are part of the unifying framework of the random-cluster representation, a model for random graphs which was first studied by Fortuin and Kasteleyn in the 1970's. The random-cluster r

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23

Passaro, Davide. "Model building on gCICYs." Thesis, Uppsala universitet, Institutionen för fysik och astronomi, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-411813.

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Prompted by the success of heterotic line bundle model building on Complete Intersection Calabi Yau (CICY) manifolds and the new developments regarding a generalization thereof, I analyze the possibility of model building on generalized CICY (gCICY) manifolds. Ultimately this is realized on two examples of gCICYs, one of which topologically equivalent to a CICY and one inequivalent to any previously studied examples. The first chapter is dedicated to reporting background information on CICYs and gCICYs. The mathematical machinery of CICYs and their generalizations are introduced alongside e

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24

Osta, Iman M. "From Physical Model To Proof For Understanding Via DGS: Interplay Among Environments." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-80806.

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The widespread use of Dynamic Geometry Software (DGS) is raising many interesting questions and discussions as to the necessity, usefulness and meaning of proof in school mathematics. With these questions in mind, a didactical sequence on the topic “Conics” was developed in a teacher education course tailored for pre-service secondary math methods course. The idea of the didactical sequence is to introduce “Conics” using a concrete manipulative approach (paper folding) then an explorative DGS-based construction activity embedding the need for a proof. For that purpose, the DGS software serves

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25

Roberts, Gwendolyn Rose 1963. "A comparison of multiple univariate and multivariate geometric moving average control charts." Thesis, The University of Arizona, 1988. http://hdl.handle.net/10150/276779.

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This study utilizes a Monte Carlo simulation to examine the performance of multivariate geometric moving average control chart schemes for controlling the mean of a multivariate normal process. The study compares the performance of the proposed method with a multivariate Shewhart chart, a multiple univariate cumulative sum (CUSUM) control chart, a multivariate CUSUM control chart and a multiple univariate geometric moving average control chart.

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26

Harvey, Emily Paige. "Analysing mathematical models of intracellular calcium dynamics using geometric singular perturbation techniques." Thesis, University of Auckland, 2011. http://hdl.handle.net/2292/10814.

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Oscillations in free intracellular calcium (Ca2+) concentration are known to act as signals in almost all cell types, transmitting messages which control cellular processes including muscle contraction, cellular secretion and neuronal firing. Due to the universal nature of calcium oscillations, understanding the physiological mechanisms that underlie them is of great importance. A key feature of intracellular calcium dynamics that has been found experimentally is that some physiological processes occur much faster than others. This leads to models with variables evolving on very different time

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27

Londani, Mukhethwa. "Numerical Methods for Mathematical Models on Warrant Pricing." University of the Western Cape, 2010. http://hdl.handle.net/11394/8210.

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>Magister Scientiae - MSc<br>Warrant pricing has become very crucial in the present market scenario. See, for example, M. Hanke and K. Potzelberger, Consistent pricing of warrants and traded options, Review Financial Economics 11(1) (2002) 63-77 where the authors indicate that warrants issuance affects the stock price process of the issuing company. This change in the stock price process leads to subsequent changes in the prices of options written on the issuing company's stocks. Another notable work is W.G. Zhang, W.L. Xiao and C.X. He, Equity warrant pricing model under Fractional Brownian m

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28

Osta, Iman M. "From Physical Model To Proof For Understanding Via DGS:Interplay Among Environments." Proceedings of the tenth International Conference Models in Developing Mathematics Education. - Dresden : Hochschule für Technik und Wirtschaft, 2009. - S. 464 - 468, 2012. https://slub.qucosa.de/id/qucosa%3A1798.

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The widespread use of Dynamic Geometry Software (DGS) is raising many interesting questions and discussions as to the necessity, usefulness and meaning of proof in school mathematics. With these questions in mind, a didactical sequence on the topic “Conics” was developed in a teacher education course tailored for pre-service secondary math methods course. The idea of the didactical sequence is to introduce “Conics” using a concrete manipulative approach (paper folding) then an explorative DGS-based construction activity embedding the need for a proof. For that purpose, the DGS software serves

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29

Skoczelas, Brenda M. "A mathematical model for calculating the effect of toroidal geometry on the measured magnetic field." Muncie, Ind. : Ball State University, 2009. http://cardinalscholar.bsu.edu/714.

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30

Steyn, Catherina. "An investigation of the link between the typical geometry errors and the Van Hiele levels of geometric thought of grade 9 learners." Thesis, Nelson Mandela Metropolitan University, 2017. http://hdl.handle.net/10948/12152.

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South African learners perform poorly in the geometry sections of both national and international assessments. Numerous assessment reports mention multiple errors that keep re-occurring and play a big role in the learners’ poor performance. For this research, the link between the grade 9 learners Van Hiele levels of thought and the typical errors that they made were investigated. In this mixed method study, 194 grade 9 learners in two schools in Port Elizabeth, South Africa were tested using a Van Hiele based test. A test was set up containing multiple-choice and open-ended questions and was u

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31

Barcenas, Carolina. "Geometric tolerance verification using superquadrics." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/25603.

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32

El-Berry, S. E. M. "Some geometric and negative binomial time series models." Thesis, University of Strathclyde, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.381119.

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33

Björnberg, Jakob Erik. "Graphical representations of Ising and Potts models : Stochastic geometry of the quantum Ising model and the space-time Potts model." Doctoral thesis, KTH, Matematik (Inst.), 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-11267.

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HTML clipboard Statistical physics seeks to explain macroscopic properties of matter in terms of microscopic interactions. Of particular interest is the phenomenon of phase transition: the sudden changes in macroscopic properties as external conditions are varied. Two models in particular are of great interest to mathematicians, namely the Ising model of a magnet and the percolation model of a porous solid. These models in turn are part of the unifying framework of the random-cluster representation, a model for random graphs which was first studied by Fortuin and Kasteleyn in the 1970’s

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34

Cordner, Nathan James. "Isomorphisms of Landau-Ginzburg B-Models." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5882.

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Landau-Ginzburg mirror symmetry predicts isomorphisms between graded Frobenius algebras (denoted A and B) that are constructed from a nondegenerate quasihomogeneous polynomial W and a related group of symmetries G. In 2013, Tay proved that given two polynomials W1, W2 with the same quasihomogeneous weights and same group G, the corresponding A-models built with (W1, G) and (W2, G) are isomorphic. An analogous theorem for isomorphisms between orbifolded B-models remains to be found. This thesis investigates isomorphisms between B-models using polynomials in two variables in search of such a th

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35

Solus, Liam. "Polyhedral Problems in Combinatorial Convex Geometry." UKnowledge, 2015. http://uknowledge.uky.edu/math_etds/32.

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In this dissertation, we exhibit two instances of polyhedra in combinatorial convex geometry. The first instance arises in the context of Ehrhart theory, and the polyhedra are the central objects of study. The second instance arises in algebraic statistics, and the polyhedra act as a conduit through which we study a nonpolyhedral problem. In the first case, we examine combinatorial and algebraic properties of the Ehrhart h*-polynomial of the r-stable (n,k)-hypersimplices. These are a family of polytopes which form a nested chain of subpolytopes within the (n,k)-hypersimplex. We show that a wel

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36

Calin, Ovidiu, and Chang Der-Chen. "The geometry on a step 3 Grushin model." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2672/.

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In this article we study the geometry associated with the sub-elliptic operator ½ (X²1 +X²2), where X1 = ∂x and X2 = x²/2 ∂y are vector fields on R². We show that any point can be connected with the origin by at least one geodesic and we provide an approximate formula for the number of the geodesics between the origin and the points situated outside of the y-axis. We show there are in¯nitely many geodesics between the origin and the points on the y-axis.

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Nollett, William R. "Phase transitions and the random-cluster representation for Delaunay Potts models with geometry-dependent interactions." Thesis, University of Warwick, 2013. http://wrap.warwick.ac.uk/60465/.

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We investigate the existence of phase transitions for a class of continuum multi-type particle systems. The interactions act on hyperedges between the particles, allowing us to define a class of models with geometry-dependent interactions. We establish the existence of stationary Gibbsian point processes for this class of models. A phase transition is defined with respect to the existence of multiple Gibbs measures, and we establish the existence of phase transitions in our models by proving that multiple Gibbs measures exist. Our approach involves introducing a random-cluster representation f

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Van, Putten Sonja. "Levels of thought in geometry of pre-service mathematics educators according to the van Hiele model." Diss., University of Pretoria, 2008. http://hdl.handle.net/2263/24834.

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This study aimed to investigate the level of understanding of Euclidian geometry, in terms of theoretical knowledge as well as its problem-solving application, in pre-service mathematics education (PME) students at the University of Pretoria. In order to do so, a one group pre-test/ post-test procedure was conducted around an intensive geometry module, and a representational group of students was interviewed before and after the module to discuss their high school experiences of learning geometry and to analyse their attitudes towards the subject. The van Hiele Theory of Levels of Thought in G

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Delbem, Nilton Flávio. "Introdução matemática aos modelos cosmológicos /." Rio Claro : [s.n.], 2010. http://hdl.handle.net/11449/94340.

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Orientador: Wladimir Seixas<br>Banca: Manoel Borges Ferreira Neto<br>Banca: Henrique Lazari<br>Resumo: Esta dissertação tem a proposta de organizar, discutir e apresentar de maneira precisa os conceitos matemáticos de variedade diferenciável e de tensores envolvidos no estudo da Cosmologia sob o ponto de vista da Teoria da Relatividade Geral para o modelo de Friedmann-Lemaître-Robertson-Walker. Busca-se assim apresentar um texto didático que possa ser utilizado tanto nos cursos de graduação em Matemática como de Física para uma disciplina optativa de Introdução Matemática à Cosmologia<br>Abstr

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Delbem, Nilton Flávio [UNESP]. "Introdução matemática aos modelos cosmológicos." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/94340.

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Made available in DSpace on 2014-06-11T19:27:09Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-10-15Bitstream added on 2014-06-13T20:47:45Z : No. of bitstreams: 1 delbem_nf_me_rcla.pdf: 885461 bytes, checksum: 9ba35dff1d53b0378c1e134087c575b7 (MD5)<br>Universidade Estadual Paulista (UNESP)<br>Esta dissertação tem a proposta de organizar, discutir e apresentar de maneira precisa os conceitos matemáticos de variedade diferenciável e de tensores envolvidos no estudo da Cosmologia sob o ponto de vista da Teoria da Relatividade Geral para o modelo de Friedmann-Lemaître-Robertson-Walker. B

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Herrera-Valdez, Marco Arieli. "Geometry and nonlinear dynamics underlying excitability phenotypes in biophysical models of membrane potential." Diss., The University of Arizona, 2014. http://hdl.handle.net/10150/312741.

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The main goal of this dissertation was to study the bifurcation structure underlying families of low dimensional dynamical systems that model cellular excitability. One of the main contributions of this work is a mathematical characterization of profiles of electrophysiological activity in excitable cells of the same identified type, and across cell types, as a function of the relative levels of expression of ion channels coded by specific genes. In doing so, a generic formulation for transmembrane transport was derived from first principles in two different ways, expanding previous work by o

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Francis, Benjamin Lane. "Information Geometry and Model Reduction in Oscillatory and Networked Systems." BYU ScholarsArchive, 2020. https://scholarsarchive.byu.edu/etd/8512.

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In this dissertation, I consider the problem of model reduction in both oscillatory and networked systems. Previously, the Manifold Boundary Approximation Method (MBAM) has been demonstrated as a data-driven tool for reducing the parametric complexity of so-called sloppy models. To be effective, MBAM requires the model manifold to have low curvature. I show that oscillatory models are characterized by model manifolds with high curvature in one or more directions. I propose methods for transforming the model manifolds of these models into ones with low curvature and demonstrate on a couple of t

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Schmidtt, David Marmolejo. "Aspectos geométricos dos modelos de Toda /." São Paulo, 2005. http://hdl.handle.net/11449/132694.

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Orientador: José Francisco Gomes<br>Banca: Abraham Hirsz Zimerman<br>Banca: Eliezer Batista<br>Resumo: Nesta dissertação estudamos as estruturas geométricas e algébricas subjacentes aos modelos de Toda. Primeiramente, vemos como as equações de Toda são consequência da condição de curvatura nula de um certo fibrado principal holomórfico e posteriormente, introduzimos a formulação Lagrangiana dos mesmos, como perturbações integráveis de um modelo de WZW calibrado num espaço quociente. Terminamos com um estudo da dualidade própria destas teorias<br>Abstract: In this work we study the differential

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Henninger, Helen Clare. "The symmetry group of a model of hyperbolic plane geometry and some associated invariant optimal control problems." Thesis, Rhodes University, 2012. http://hdl.handle.net/10962/d1018232.

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In this thesis we study left-invariant control offine systems on the symmetry group of a. model of hyperbolic plane geometry, the matrix Lie group SO(1, 2)₀. We determine that there are 10 distinct classes of such control systems and for typical elements of two of these classes we provide solutions of the left-invariant optimal wntrol problem with quauratic costs. Under the identification of the Lie allgebra .so(l, 2) with Minkowski spacetime R¹̕'², we construct a controllabilility criterion for all left-invariant control affine systems on 50(1. 2)₀ which in the inhomogeneous case depends only

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Brown, Matthew Robert. "Construction and Isomorphism of Landau-Ginzburg B-Model Frobenius Algebras." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5652.

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Landau-Ginzburg Mirror Symmetry provides for the construction of two algebraic objects, called the A- and B-models. Special cases of these models–constructed using invertible polynomials and abelian symmetry groups–are well understood. In this thesis, we consider generalizations of the B-model, and specifically address the associativity of the multiplication in these models. We also prove an explicit B-model isomorphism for a class of polynomials in three variables.

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Kekana, Grace Ramatsimele. "Using GeoGebra in transformation geometry : an investigation based on the Van Hiele model." Diss., University of Pretoria, 2016. http://hdl.handle.net/2263/60947.

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This study investigated the use of an advanced technological development (free GeoGebra software) within the secondary educational setting in four relatively under-resourced schools in the Gauteng Province of South Africa. This advancement is viewed as having the potential to promote the teaching and learning of complex ideas in mathematics, even within traditionally deprived communities. The focus in this study was on the teaching and learning of transformation geometry at Grade 9 and attainment was reflected in terms of the van Hieles' levels of geometrical thinking. A mixed methods approach

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Ong, Jin Boon. "Geometric modeling of manufacturing processes variations for model-based tolerance analysis." Diss., This resource online, 1994. http://scholar.lib.vt.edu/theses/available/etd-05042006-164537/.

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Hernandez, Gabriel. "Platform design for customizable products as a problem of access in a geometric space." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/16760.

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Tran, Tat Dat [Verfasser], Jürgen [Akademischer Betreuer] Jost, Jürgen [Gutachter] Jost, and Shun-ichi [Gutachter] Amari. "Information Geometry and the Wright-Fisher model of Mathematical Population Genetics / Tat Dat Tran ; Gutachter: Jürgen Jost, Shun-ichi Amari ; Betreuer: Jürgen Jost." Leipzig : Universitätsbibliothek Leipzig, 2012. http://d-nb.info/1238077277/34.

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Goodrich, David Charles. "Geometric simplification of a distributed rainfall-runoff model over a range of basin scales." Diss., The University of Arizona, 1990. http://hdl.handle.net/10150/185051.

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Distributed rainfall-runoff models are gaining widespread acceptance; yet, a fundamental issue that must be addressed by all users of these models is definition of an acceptable level of watershed discretization (geometric model complexity). The level of geometric model complexity is a function of basin and climatic scales as well as the availability of input and verification data. Equilibrium discharge storage is employed to develop a quantitative methodology to define a level of geometric model complexity commensurate with a specified level of model performance. Equilibrium storage ratios ar

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