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Dissertations / Theses on the topic 'Problems in mathematics'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Ekström, Erik. "Selected Problems in Financial Mathematics." Doctoral thesis, Uppsala University, Department of Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4574.

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<p>This thesis, consisting of six papers and a summary, studies the area of continuous time financial mathematics. A unifying theme for many of the problems studied is the implications of possible mis-specifications of models. Intimately connected with this question is, perhaps surprisingly, convexity properties of option prices. We also study qualitative behavior of different optimal stopping boundaries appearing in option pricing.</p><p>In Paper I a new condition on the contract function of an American option is provided under which the option price increases monotonically in the volatility.

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2

Ekström, Erik. "Selected problems in financial mathematics /." Uppsala : Matematiska institutionen, Univ. [distributör], 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4574.

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3

Muoneke, Ada Felicitas. "The effects of a question and action strategy on the mathematical word problem-solving skills of students with learning problems in mathematics /." Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3008402.

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4

Tarkhanov, Nikolai. "Anisotropic edge problems." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2628/.

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We investigate elliptic pseudodifferential operators which degenerate in an anisotropic way on a submanifold of arbitrary codimension. To find Fredholm problems for such operators we adjoint to them boundary and coboundary conditions on the submanifold.The algebra obtained this way is a far reaching generalisation of Boutet de Monvel's algebra of boundary value problems with transmission property. We construct left and right regularisers and prove theorems on hypoellipticity and local solvability.

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5

Lippert, Ross Adams. "Nonlinear eigenvalue problems." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/50013.

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6

Unda, Surawski Francisco T. "Combinatorial incremental problems." Thesis, Massachusetts Institute of Technology, 2018. https://hdl.handle.net/1721.1/122890.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 95-98).<br>We study the class of Incremental Combinatorial optimization problems, where solutions are evaluated as they are built, as opposed to only measuring the performance of the final solution. Even though many of these problems have been studied, it has' usually been in isolation, so the first objective of this document is to present them under the same framework. We present the incremental analog of several classic

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7

Pandit, Mrityunjay. "Some Philosophical problems in logic and mathematics." Thesis, University of North Bengal, 1992. http://hdl.handle.net/123456789/15.

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8

Cheang, Ka Hang. "Two problems on inverse eigenvalue problems and Hadamard finite part integrals." Thesis, University of Macau, 2010. http://umaclib3.umac.mo/record=b2182891.

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9

Soto, José Antonio Ph D. Massachusetts Institute of Technology. "Contributions on secretary problems, independent sets of rectangles and related problems." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/67819.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 187-198).<br>We study three problems arising from different areas of combinatorial optimization. We first study the matroid secretary problem, which is a generalization proposed by Babaioff, Immorlica and Kleinberg of the classical secretary problem. In this problem, the elements of a given matroid are revealed one by one. When an element is revealed, we learn information about its weight and decide to accept it or not, while ke

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10

Lindgren, Erik. "Regularity properties of two-phase free boundary problems." Doctoral thesis, KTH, Matematik (Inst.), 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-10336.

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This thesis consists of four papers which are all related to the regularity properties of free boundary problems. The problems considered have in common that they have some sort of two-phase behaviour.In papers I-III we study the interior regularity of different two-phase free boundary problems. Paper I is mainly concerned with the regularity properties of the free boundary, while in papers II and III we devote our study to the regularity of the function, but as a by-product we obtain some partial regularity of the free boundary.The problem considered in paper IV has a somewhat different natur

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11

Vartiainen, Oskar, and Emelie Thunell. "Läsning av matematiska texter : faktorer som påverkar förståelsen vid läsning av matematiska texter." Thesis, Linnéuniversitetet, Institutionen för pedagogik, psykologi och idrottsvetenskap, PPI, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-24582.

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Vi som har skrivit arbetet har haft olika erfarenheter kring läsning av matematiska textuppgifter. Intresset växte, då vi blev intresserade kring varför det kan vara svårt att läsa en matematisk text. Syftet med studien är att undersöka hur elevers läsförståelse binds samman med läsning av matematiska textuppgifter samt se vilka inre och yttre faktorer som påverkar förståelsen. Kvalitativa intervjuer tillsammans med en kombination av fallstudier och observationer ligger till grund för metoden som använts i studien. I undersökningen deltog 63 elever och fyra lärare. Totalt gjordes studien i fyr

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12

Carter, Merilyn Gladys. "Year 7 students’ approaches to understanding and solving NAPLAN numeracy problems." Thesis, Queensland University of Technology, 2011. https://eprints.qut.edu.au/46648/1/Merilyn_Carter_Thesis.pdf.

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This study investigated how the interpretation of mathematical problems by Year 7 students impacted on their ability to demonstrate what they can do in NAPLAN numeracy testing. In the study, mathematics is viewed as a culturally and socially determined system of signs and signifiers that establish the meaning, origins and importance of mathematics. The study hypothesises that students are unable to succeed in NAPLAN numeracy tests because they cannot interpret the questions, even though they may be able to perform the necessary calculations. To investigate this, the study applied contemporary

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13

Krupchyk, K., N. Tarkhanov, and J. Tuomela. "Generalised elliptic boundary problems." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2999/.

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For elliptic systems of differential equations on a manifold with boundary, we prove the Fredholm property of a class of boundary problems which do not satisfy the Shapiro-Lopatinskii property. We name these boundary problems generalised elliptic, for they preserve the main properties of elliptic boundary problems. Moreover, they reduce to systems of pseudodifferential operators on the boundary which are generalised elliptic in the sense of Saks (1997).

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14

Norton, Carolyn H. (Carolyn Haibt). "Problems in discrete optimization." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/12490.

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15

Bertsimas, Dimitris. "Probabilistic combinatorial optimization problems." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/14386.

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16

Lam, Fumei. "Traveling salesman path problems." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33668.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.<br>Includes bibliographical references (p. 153-155).<br>In the Traveling Salesman Path Problem, we are given a set of cities, traveling costs between city pairs and fixed source and destination cities. The objective is to find a minimum cost path from the source to destination visiting all cities exactly once. The problem is a generalization of the Traveling Salesman Problem with many important applications. In this thesis, we study polyhedral and combinatorial properties of a variant we call the Traveling Sale

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17

Shaw, Hong-Min. "Graphical algorithms for some network flow problems and some results on hamiltonicity problems /." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487779120909917.

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18

Zatarain-Vera, Oscar. "Two Mathematical Problems Involving Rademacher Variables." Kent State University / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=kent162705641219602.

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19

Christie, David Alan. "Genome rearrangement problems." Thesis, University of Glasgow, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.284780.

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20

Abdi, Mohammad Javad. "Cardinality optimization problems." Thesis, University of Birmingham, 2013. http://etheses.bham.ac.uk//id/eprint/4620/.

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In this thesis, we discuss the cardinality minimization problem (CMP) and the cardinality constraint problem. Due to the NP-hardness of these problems, we discuss different computational and relaxation techniques for finding an approximate solution to these problems. We also discuss the l\(_1\)-minimization as one of the most efficient methods for solving CMPs, and we demonstrate that the l\(_1\)-minimization uses a kind of weighted l\(_2\)-minimization. We show that the reweighted l\(_j\)-minimization (j≥1) is very effective to locate a sparse solution to a linear system. Next, we show how to

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21

Paneah, Boris. "On a new problem in integral geometry related to boundary problems for partial differential equations." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2608/.

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Contents: 1 Introduction 2 Statement of the problem and definitions 3 The main results 4 Proof of theorem 2 4.1 Reduction of problem (2) to functional - integral equations 4.2 The uniqueness of a solution of equation (2) 4.3 The existence of a solution of equation (2) 5 Proof of theorem 1 6 Proof of theorem 3 7 First boundary problem for hyperbolic differential equations 7.1 Statement of the problem 7.2 The formulation of the result and a sketch of the proof

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22

Kanevsky, Inna Glaz. "Role of rules in transfer of mathematical word problems." Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2006. http://wwwlib.umi.com/cr/ucsd/fullcit?p3223010.

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Thesis (Ph. D.)--University of California, San Diego, 2006.<br>Title from first page of PDF file (viewed September 21, 2006). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 86-90).

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23

Zhou, Fangjun. "Nonmonotone methods in optimization and DC optimization of location problems." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/21777.

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24

Schulze, Bert-Wolfgang, Alexander Shlapunov, and Nikolai Tarkhanov. "Regularisation of mixed boundary problems." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2545/.

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25

Prenov, B., and Nikolai Tarkhanov. "Kernel spikes of singular problems." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2619/.

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Function spaces with asymptotics is a usual tool in the analysis on manifolds with singularities. The asymptotics are singular ingredients of the kernels of pseudodifferential operators in the calculus. They correspond to potentials supported by the singularities of the manifold, and in this form asymptotics can be treated already on smooth configurations. This paper is aimed at describing refined asymptotics in the Dirichlet problem in a ball. The beauty of explicit formulas highlights the structure of asymptotic expansions in the calculi on singular varieties.

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26

Shlapunov, Alexander, and Nikolai Tarkhanov. "Mixed problems with a parameter." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2667/.

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Let X be a smooth n -dimensional manifold and D be an open connected set in X with smooth boundary ∂D. Perturbing the Cauchy problem for an elliptic system Au = f in D with data on a closed set Γ ⊂ ∂D we obtain a family of mixed problems depending on a small parameter ε > 0. Although the mixed problems are subject to a non-coercive boundary condition on ∂DΓ in general, each of them is uniquely solvable in an appropriate Hilbert space DT and the corresponding family {uε} of solutions approximates the solution of the Cauchy problem in DT whenever the solution exists. We also prove that the exist

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27

Picard, Frederic. "Some problems concerning multilinear forms." [Bloomington, Ind.] : Indiana University, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3223053.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2006.<br>"Title from dissertation home page (viewed June 28, 2007)." Source: Dissertation Abstracts International, Volume: 67-06, Section: B, page: 3170. Adviser: Richard Bradley.

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28

Giugni, Astrid Adele. "Enumerative problems in intersection theory." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29580.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.<br>Includes bibliographical references (leaf 61).<br>We develop and describe some of the basic tools of intersection theory in algebraic geometry. Some classical enumerative problems are then solved using these methods. In particular, we discuss the Fano variety of a cubic in surface in P3 , determinantal varieties, and the number of conics tangent to five conics in P2 .<br>by Astrid Adele Giugni.<br>S.M.

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29

Chen, Lin. "Parallel complexity of discrete problems /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487684245466027.

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30

Gaghlasian, Dikran. "Några elevers tankar kring ett klassiskt matematiskt problem. : Om problemlösningsförmåga och argumentationsförmåga – två matematiska kompetenser." Thesis, Växjö University, School of Education, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-922.

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<p>In this thesis we study four groups of students in grade 8, 9 and 10 when they try to solve a classical mathematical problem: Which rectangle with given circumference has the largest area? The aim of the study was too see how the students did to solve a mathematichal problem?</p><p>The survey shows that students have rather poor strategies to solve mathematical problems. The most common mistake is that students don’t put much energy to understand the problem before trying to solve it. They have no strategies. This was clearly obvious when you look at Balacheff’s theory in an article from 19

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31

Mongwane, Bishop. "Problems in cosmology and numerical relativity." Doctoral thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/15689.

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Includes bibliographical references.<br>A generic feature of most inflationary scenarios is the generation of primordial perturbations. Ordinarily, such perturbations can interact with a weak magnetic field in a plasma, resulting in a wide range of phenomena, such as the parametric excitation of plasma waves by gravitational waves. This mechanism has been studied in different contexts in the literature, such as the possibility of indirect detection of gravitational waves through electromagnetic signatures of the interaction. In this work, we consider this concept in the particular case of magn

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32

Rodosthenous, Neofytos. "Optimal stopping problems in mathematical finance." Thesis, London School of Economics and Political Science (University of London), 2013. http://etheses.lse.ac.uk/706/.

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This thesis is concerned with the pricing of American-type contingent claims. First, the explicit solutions to the perpetual American compound option pricing problems in the Black-Merton-Scholes model for financial markets are presented. Compound options are financial contracts which give their holders the right (but not the obligation) to buy or sell some other options at certain times in the future by the strike prices given. The method of proof is based on the reduction of the initial two-step optimal stopping problems for the underlying geometric Brownian motion to appropriate sequences of

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33

Graumann, Günter. "Reflecting Problem Orientation in Mathematics Education within Teacher Education." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82503.

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34

Bernadette, Elizabeth. "Third grade students' challenges and strategies to solving mathematical word problems." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2009. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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35

Volynin, Ilya. "A detailed look into two problems on lacunary sequences." Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1216145267.

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36

Maynard, Philip Mortimer. "On orbit reconstruction problems." Thesis, University of East Anglia, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.338237.

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37

Lewis, Alyn Martyn. "Multi-objective bandit problems." Thesis, Keele University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.283977.

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38

Yuen, Kin-sun. "Solving mathematical problems : a verification of a spatial representation model /." Hong Kong : [University of Hong Kong], 1988. http://sunzi.lib.hku.hk/hkuto/record.jsp?B10398120.

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39

Manlove, David Francis. "Minimaximal and maximinimal optimisation problems a partial order-based approach /." Thesis, Connect to electronic version, 1998. http://hdl.handle.net/1905/164.

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40

Killick, Rebecca. "Novel methods for changepoint problems." Thesis, Lancaster University, 2012. http://eprints.lancs.ac.uk/56798/.

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41

Dalwadi, Mohit. "Flow and nutrient transport problems in rotating bioreactor systems." Thesis, University of Oxford, 2014. https://ora.ox.ac.uk/objects/uuid:1d7298b7-cdf5-4240-a79c-b7b69f662c1a.

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Motivated by applications in tissue engineering, this thesis is concerned with the flow through and around a free-moving porous tissue construct (TC) within a high-aspect-ratio vessel (HARV) bioreactor. We formalise and extend various results for flow within a Hele-Shaw cell containing a porous obstacle. We also consider the impact of the flow on related nutrient transport problems. The HARV bioreactor is a cylinder with circular cross-section which rotates about its axis at a constant rate, and is filled with a nutrient-rich culture medium. The porous TC is modelled as a rigid porous cylinder

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42

Kytmanov, Aleksandr, Simona Myslivets, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "Elliptic problems for the Dolbeault complex." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2597/.

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The inhomogeneous ∂-equations is an inexhaustible source of locally unsolvable equations, subelliptic estimates and other phenomena in partial differential equations. Loosely speaking, for the anaysis on complex manifolds with boundary nonelliptic problems are typical rather than elliptic ones. Using explicit integral representations we assign a Fredholm complex to the Dolbeault complex over an arbitrary bounded domain in C up(n).

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43

Zhu, Kangping. "Two problems in applications of PDE." Thesis, New York University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3635320.

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<p> This thesis contains two different parts. For part I, we develop a PDE perspective on a model problem from the machine learning literature. The problem involves ''prediction" via ''regret minimization". Our PDE approach identifies the optimal strategies and the associated outcomes in a scaling limit where the number of time steps tends to 1. While our PDE is very nonlinear, explicit solutions are available in many cases due to a surprising and convenient link to the linear heat equation. </p><p> For part II, We consider H<sup>–α</sup>gradient flow of the Modica-Mortola

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44

Grinshpun, Andrey Vadim. "Some problems in Graph Ramsey Theory." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/97767.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2015.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Cataloged from student-submitted PDF version of thesis.<br>Includes bibliographical references (pages 149-156).<br>A graph G is r-Ramsey minimal with respect to a graph H if every r-coloring of the edges of G yields a monochromatic copy of H, but the same is not true for any proper subgraph of G. The study of the properties of graphs that are Ramsey minimal

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45

Shyshkov, Andriy. "NUMERICAL SOLUTION OF ILL-POSED PROBLEMS." Kent State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=kent1271700548.

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46

Szabó, Tibor. "Extremal problems for graphs and hypergraphs /." The Ohio State University, 1996. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487935125880928.

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47

Weed, Jonathan Daniel. "Statistical problems in transport and alignment." Thesis, Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/122183.

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Thesis: Ph. D. in Mathematics and Statistics, Massachusetts Institute of Technology, Department of Mathematics, 2019<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 169-181).<br>How should you analyze complicated data? Faced with scans of handwritten digits, noisy snapshots of large biomolecules, three-dimensional LIDAR data, or corrupted social networks, what practical techniques and theoretical guarantees does the statistician have at her disposal? This thesis develops new theory for statistical problems involving data with geometric structure of this k

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Borchert, Katja. "Disassociation between arithmetic and algebraic knowledge in mathematical modeling /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/9141.

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49

Klimmek, Martin. "On inverse problems in mathematical finance." Thesis, University of Warwick, 2012. http://wrap.warwick.ac.uk/55821/.

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We consider two inverse problems motivated by questions in mathematical finance. In the first two chapters (Part 1) we recover processes consistent with given perpetual American option prices. In the third and fourth chapters (Part 2) we construct model-independent bounds for prices of contracts based on the realized variance of an asset price process. The two parts are linked by the question of how to recover information about asset price dynamics from option prices: in part one we assume knowledge of perpetual American option prices while in the second part we will assume knowledge of Europe

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50

Wong, Man-kwun, and 黃文冠. "Some sensitivity results for time-delay optimal control problems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31223655.

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