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1

Hogan, Adam D. "Leibniz Did Not State Leibniz's Law." Ohio University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1397054389.

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2

Granholm, Jonas. "Remarkable curves in the Euclidean plane." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-112576.

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An important part of mathematics is the construction of good definitions. Some things, like planar graphs, are trivial to define, and other concepts, like compact sets, arise from putting a name on often used requirements (although the notion of compactness has changed over time to be more general). In other cases, such as in set theory, the natural definitions may yield undesired and even contradictory results, and it can be necessary to use a more complicated formalization.    The notion of a curve falls in the latter category. While it is intuitively clear what a curve is – line segments, e
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3

Popiel, Tomasz. "Geometrically-defined curves in Riemannian manifolds." University of Western Australia. School of Mathematics and Statistics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0119.

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[Truncated abstract] This thesis is concerned with geometrically-defined curves that can be used for interpolation in Riemannian or, more generally, semi-Riemannian manifolds. As in much of the existing literature on such curves, emphasis is placed on manifolds which are important in computer graphics and engineering applications, namely the unit 3-sphere S3 and the closely related rotation group SO(3), as well as other Lie groups and spheres of arbitrary dimension. All geometrically-defined curves investigated in the thesis are either higher order variational curves, namely critical points o
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4

Jones, Nathan Conrad. "Almost all elliptic curves are Serre curves." Diss., Restricted to subscribing institutions, 2005. http://proquest.umi.com/pqdweb?did=954031391&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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5

Maire, Steven M. "Inverted Edwards Coordinates (Maire Model of an Elliptic Curve)." Case Western Reserve University School of Graduate Studies / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=case1396888557.

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6

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 t
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7

Stubbs, Andrew Gerard Joseph. "Hyperelliptic curves." Thesis, University of Liverpool, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.343646.

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8

Wyley, Asia N. "Cursed Connections." Cleveland State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=csu155679099104196.

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9

Mecklenburg, Trinity. "Elliptic Curves." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/186.

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The main focus of this paper is the study of elliptic curves, non-singular projective curves of genus 1. Under a geometric operation, the rational points E(Q) of an elliptic curve E form a group, which is a finitely-generated abelian group by Mordell’s theorem. Thus, this group can be expressed as the finite direct sum of copies of Z and finite cyclic groups. The number of finite copies of Z is called the rank of E(Q). From John Tate and Joseph Silverman we have a formula to compute the rank of curves of the form E: y2 = x3 + ax2 + bx. In this thesis, we generalize this formula, using a purely
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10

Barnard, Russell. "Implications of a modern phillips curve." Thesis, Boston College, 2017. http://hdl.handle.net/2345/bc-ir:107432.

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Thesis advisor: Robert Murphey<br>This paper demonstrates that a linear Phillips Curve has neither theoretical nor empirical justification. I first alter the traditional linear model specification to allow for non-linearity between inflation and unemployment. I show that these non-linear models produce greater R2’s than similar linear versions. I provide theoretical justification for the non-linear models and demonstrate why the theoretical reasoning for linear models is flawed. Finally, by introducing the natural rate of unemployment as a separate independent variable, I increase the explanat
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11

Barshep, Yahkat. "Migration and moult strategy of the curlew sandpiper." Doctoral thesis, University of Cape Town, 2011. http://hdl.handle.net/11427/10162.

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The aim of this research is to describe the migration and moult strategies of the Curlew Sandpiper in relation to the different migratory routes and non-breeding areas of the species, focusing on the carry-over effects which conditions at the breeding grounds have on the timing of post-breeding migration and, subsequently, on the timing of moult at the non-breeding areas. Part of the study also describes the adaptive feature of moult in relation to migratory distance and environmental conditions at the non-breeding areas.
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12

Fluder, Anna [Verfasser]. "Elliptic curves over function fields of elliptic curves / Anna Fluder." Berlin : Freie Universität Berlin, 2015. http://d-nb.info/1066645183/34.

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13

Idrees, Zunera. "Elliptic Curves Cryptography." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-17544.

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In the thesis we study the elliptic curves and its use in cryptography. Elliptic curvesencompasses a vast area of mathematics. Elliptic curves have basics in group theory andnumber theory. The points on elliptic curve forms a group under the operation of addition.We study the structure of this group. We describe Hasse’s theorem to estimate the numberof points on the curve. We also discuss that the elliptic curve group may or may not becyclic over finite fields. Elliptic curves have applications in cryptography, we describe theapplication of elliptic curves for discrete logarithm problem and El
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14

郭宇輝 and Yu-fai Kwok. "Entire holomorphic curves." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B31215427.

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Kwok, Yu-fai. "Entire holomorphic curves /." Hong Kong : University of Hong Kong, 1997. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19471038.

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16

Hlavacek, Magda L. "Random Tropical Curves." Scholarship @ Claremont, 2017. http://scholarship.claremont.edu/hmc_theses/95.

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In the setting of tropical mathematics, geometric objects are rich with inherent combinatorial structure. For example, each polynomial $p(x,y)$ in the tropical setting corresponds to a tropical curve; these tropical curves correspond to unbounded graphs embedded in $\R^2$. Each of these graphs is dual to a particular subdivision of its Newton polytope; we classify tropical curves by combinatorial type based on these corresponding subdivisions. In this thesis, we aim to gain an understanding of the likeliness of the combinatorial type of a randomly chosen tropical curve by using methods from po
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17

Lipa, Matúš. "Interaktivní webové výukové aplikace z oblasti vektorové grafiky." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2019. http://www.nusl.cz/ntk/nusl-400884.

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This work deals with the creation of several interactive web applets for education of vector graphics. Described is the image signal, his discretization, vector and bitmap types of image record. Further they describe selected vector curves, their properties, algorithms for their construction and usage. The principles of rasterization of basic vector objects are explained. Using the Figma tool, graphical user interfaces for each applet are designed. These applets are implemented using HTML and Javascript. The implemented applets are placed on web pages that are used in computer graphics educati
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18

Jang, Mi-Ja. "Biblical covenant-curses in the light of ancient Near Eastern curses." Thesis, University of Liverpool, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.266268.

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19

Debrecht, Johanna M. "Plane Curves, Convex Curves, and Their Deformation Via the Heat Equation." Thesis, University of North Texas, 1998. https://digital.library.unt.edu/ark:/67531/metadc278501/.

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We study the effects of a deformation via the heat equation on closed, plane curves. We begin with an overview of the theory of curves in R3. In particular, we develop the Frenet-Serret equations for any curve parametrized by arc length. This chapter is followed by an examination of curves in R2, and the resultant adjustment of the Frenet-Serret equations. We then prove the rotation index for closed, plane curves is an integer and for simple, closed, plane curves is ±1. We show that a curve is convex if and only if the curvature does not change sign, and we prove the Isoperimetric Inequality,
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20

Klinke, Gregor. "Benjamin Brittens 'Curlew River' Zwischen Exotismus, Synthese und Adaption." Bärenreiter Verlag, 2000. https://slub.qucosa.de/id/qucosa%3A36625.

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21

Ledingham, Jamie Andrew. "The estimation of flood frequency curves by mapping from rainfall frequency curves." Thesis, University of Newcastle Upon Tyne, 2011. http://hdl.handle.net/10443/1320.

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Recent large flooding events have reinforced the need for prudent flood risk management. The July 2007 floods in Yorkshire and the Midlands and the November 2009 floods in the Lake District have highlighted the current vulnerability of key infrastructure and the built environment in the UK to flooding. This existing flood risk is coupled with concerns over the potential impacts of future climate change on flood regimes. Therefore, there is a need to develop tools and methodologies to assess the potential impact of likely climate change on flood risk. The link between large rainfall and flow ev
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22

Tait, Joseph. "Group actions on differentials of curves and cohomology bases of hyperelliptic curves." Thesis, University of Southampton, 2014. https://eprints.soton.ac.uk/373877/.

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23

Lutz, Jonathan. "High Performance Elliptic Curve Cryptographic Co-processor." Thesis, University of Waterloo, 2003. http://hdl.handle.net/10012/855.

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In FIPS 186-2, NIST recommends several finite fields to be used in the elliptic curve digital signature algorithm (ECDSA). Of the ten recommended finite fields, five are binary extension fields with degrees ranging from 163 to 571. The fundamental building block of the ECDSA, like any ECC based protocol, is elliptic curve scalar multiplication. This operation is also the most computationally intensive. In many situations it may be desirable to accelerate the elliptic curve scalar multiplication with specialized hardware. In this thesis a high performance elliptic curve pro
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24

Karakoyunlu, Deniz. "Efficient Side-Channel Aware Elliptic Curve Cryptosystems over Prime Fields." Digital WPI, 2010. https://digitalcommons.wpi.edu/etd-dissertations/338.

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"Elliptic Curve Cryptosystems (ECCs) are utilized as an alternative to traditional public-key cryptosystems, and are more suitable for resource limited environments due to smaller parameter size. In this dissertation we carry out a thorough investigation of side-channel attack aware ECC implementations over finite fields of prime characteristic including the recently introduced Edwards formulation of elliptic curves, which have built-in resiliency against simple side-channel attacks. We implement Joye's highly regular add-always scalar multiplication algorithm both with the Weierstrass and Edw
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25

Anderson, Evan V. "Atomic Force Microscopy: Lateral-Force Calibration and Force-Curve Analysis." Digital WPI, 2012. https://digitalcommons.wpi.edu/etd-theses/337.

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This thesis reflects two advances in atomic force microscopy. The first half is a new lateral force calibration procedure, which, in contrast to existing procedures, is independent of sample and cantilever shape, simple, direct, and quick. The second half is a high-throughput method for processing, fitting, and analyzing force curves taken on Pseudomonas aeruginosa bacteria in an effort to inspire better care for statistics and increase measurement precision.
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26

Rathi, Yogesh. "Filtering for Closed Curves." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/13996.

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This thesis deals with the problem of tracking highly deformable objects in the presence of noise, clutter and occlusions. The contributions of this thesis are threefold: A novel technique is proposed to perform filtering on an infinite dimensional space of curves for the purpose of tracking deforming objects. The algorithm combines the advantages of particle filter and geometric active contours to track deformable objects in the presence of noise and clutter. Shape information is quite useful in tracking deformable objects, especially if the objects under consideration get partially occlude
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27

Forissier, Aurelie. "Load duration curves analysis." Thesis, KTH, Elektriska energisystem, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-119574.

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This report deals with the load duration curves used for development studies on the sub-transmission grid. The aims of grid development studies are firstly to locate the needs for grid reinforcement, then to elaborate a reinforcement strategy and finally to promote the profitability of this reinforcement. This study is about the last step of grid development studies: benefits calculation. The profitability of grid development studies is estimated by comparing grid investment costs and failure costs modelled by the energy not supplied. Load duration curves are used to calculate the energy not s
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28

Galbraith, Steven Douglas. "Iterations of elliptic curves." Thesis, Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/28620.

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29

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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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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31

Molder, Sannu. "Curved aerodynamic shock waves." Thesis, McGill University, 2012. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=110629.

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1AbstractCurved shock theory (CST) has been extended to apply to axisymmetric shocks in non-uniform flow. A general formula has been derived for the vorticity jump across a doubly curved shock in non-uniform flow. Influence coefficient forms of equations for the gradients and vorticity show the effect of changing pre-shock conditions. CST has been applied to a series of simple shock flows and to the orientation of the sonic surface at the rear face of a doubly curved shock. This orientation is significant in determining the occurrence of embedded shocks in the post-shock flow. Application of C
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Ludwig, Katharina. "Moduli of spin curves." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=985261056.

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33

Thanasattayawibul, Narong. "Curved integral abutment bridges." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/4119.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.<br>Thesis research directed by: Civil 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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34

Shabat, Vasily Georgievich. "Curves with many points." [S.l. : Amsterdam : s.n.] ; Universiteit van Amsterdam [Host], 2001. http://dare.uva.nl/document/62051.

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35

Flynn, Eugene Victor. "Curves of genus 2." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305382.

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36

Wunderle, John Paul. "Jocobians of Hyperelliptic Curves." Thesis, University of Liverpool, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.494092.

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37

Wunderle, John Paul. "Jacobians of hyperelliptic curves." Thesis, University of Liverpool, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.494093.

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In this thesis, we look at problems in Number Theory, specifically Diophantine Equations. We investigate Fermat Quartic curves, by presenting a set of methods to determine the existence of rational points on them. We also consider a method of resolving bielliptic curves of genus 2. We show that the method cycles for an infinite family of curves, and find an example where the method fails, however often it is repeatedly applied.
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38

陳穎韶 and Wing-shiu Chan. "Approximation of polygonal curves." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31211240.

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39

Galbraith, Steven D. "Equations for modular curves." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.337773.

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The primary topic of this thesis is the construction of explicit projective equations for the modular curves $X_0(N)$. The techniques may also be used to obtain equations for $X_0^+(p)$ and, more generally, $X_0(N) / W_n$. The thesis contains a number of tables of results. In particular, equations are given for all curves $X_0(N)$ having genus $2 le g le 5$. Equations are also given for all $X_0^+(p)$ having genus 2 or 3, and for the genus 4 and 5 curves $X_0^+(p)$ when $p le 251$. The most successful tool used to obtain these equations is the canonical embedding, combined with the fact that t
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Voloch, J. F. "Curves over finite fields." Thesis, University of Cambridge, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355283.

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Chan, Wing-shiu. "Approximation of polygonal curves /." [Hong Kong : University of Hong Kong], 1994. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1378710X.

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42

Olshen, Adam B. "Modeling PET blood curves /." Thesis, Connect to this title online; UW restricted, 1997. http://hdl.handle.net/1773/9530.

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Angetun, Emma. "On Curved Exponential Families." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-380034.

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44

Gounelas, Frank. "Free curves on varieties." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:3a7f6dba-fad2-4517-994e-0b51ea311df8.

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In this thesis we study various ways in which every two general points on a variety can be connected by curves of a fixed genus, thus mimicking the notion of a rationally connected variety but for arbitrary genus. We assume the existence of a covering family of curves which dominates the product of a variety with itself either by allowing the curves in the family to vary in moduli, or by assuming the family is trivial for some fixed curve of genus g. A suitably free curve will be one with a large unobstructed deformation space, the images of whose deformations can join any number of points on
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Mahassen, Nadim. "Monopoles and complex curves." Thesis, Swansea University, 2002. https://cronfa.swan.ac.uk/Record/cronfa42518.

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In this thesis I study the geometry of the monopole equations on complex curves. The moduli space is shown to be compact and carries a Kahler structure. Zero dimensional moduli spaces are investigated along with their relation to the uniformization theorem. I then study the non-abelian analogue of the equations which can be regarded as a generalization of Yang-Mills theory on Riemann surfaces. Possible relations with three dimensional topology are discussed. Some background material is provided, including an introduction to differential and spin geometry on complex curves and four-manifolds.
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46

Contreras, Ryan. "Strangeness of A1-curves:." Thesis, Boston College, 2021. http://hdl.handle.net/2345/bc-ir:109214.

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Thesis advisor: Qile Chen<br>A (plane) curve is called strange if all of its tangent lines pass through a fixed point, called the strange point. We study the $\mathbb{A}^1$-geometry, and moduli spaces of $\mathbb{A}^1$-curves on the complement of a rational strange plane curve $\Delta$ of degree $p$. On the one hand we observe that $\PP^2\setminus \Delta $ is $\mathbb{A}^1$-connected. On the other hand, these $\mathbb{A}^1$-curves can have large obstructions: therefore $\\mathbb{P}^2\setminus \Delta$ is only inseparably $\mathbb{A}^1$-connected. To understand the strange properties of $\mathbb
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Latini, Marco. "Mixing in Curved Pipes." Scholarship @ Claremont, 2001. https://scholarship.claremont.edu/hmc_theses/129.

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Over the previous summer I studied mixing of a passive tracer by flow in a straight cylindrical pipe, under the supervision of prof. Bernoff. The mixing process can be thought of as the successive action of advection by the fluid flow and diffusion modeled by random walks. With this method we were able to distinguish three different regimes. For short times, diffusion is more relevant than advection and we observed a Gaussian longitudinal distribution of the concentration. In an intermediate regime, advection by the shear is dominant over longitudinal diffusion and we observed a distinctively
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48

Iebesh, Abdulhamid. "Interpolation of Yield curves." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-48968.

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In this thesis we survey several interpolation methods that are used to construct the yield curves. We also review the bootstrapping and show that the bootstrap is closely connected to the interpolation in the case of bootstrapping yield curve. The most effort is dedicated, in this thesis, on the monotone convex method and on investigation of the difficulties to get accurate yield curves.
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Spieler, Barry S. "Non-positively curved orbihedra /." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487780865409935.

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Lu, Huajun. "Reduction of elliptic curves." Thesis, Bordeaux 1, 2010. http://www.theses.fr/2010BOR14129.

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Soit E une courbe elliptique sur un corps de valuation discrètecomplet K à corps résiduel algbriquement clos. Alors E a réduction semi-stable surune extension minimale L/K, galoisienne de groupe de Galois G. Soient O_{K} , O_{L} les anneaux de valuations respectives de K et L, et X , X' les modèles réguliers minimaux de E sur O_{K} et O_{L} respectivement.Premièrement nous montrons que pour tout entier naturel n, la fibre fermée infinitésimale X_{n} est déterminée par l'action du groupe G sur X'_{n+l} pour unentier naturel l assez grand (ne dépendant que du discriminant de L/K sile type de réd
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