Search Constraints

Search Results

  • 1n79h480n?file=thumbnail
    Thesis
    Hermiz, Rani
    The SPHAERICA (in English: Spherics) of Menelaus of Alexandria (dating to roughly 100 AD) is among the oldest known works on spherical geometry and trigonometry. Spherical geometry is the study of geometric objects on the surface of a sphere and spher . . .
  • Work
    Thesis
    Wilson, Jason R
    A major part of topology is the study of properties of topological spaces that are invariant under homeomorphisms. Such properties allow us to classify spaces. Some basic examples are compactness and connectedness. Although quite useful, these propert . . .
  • Cz30pt14c?file=thumbnail
    Thesis
    Timmons, Craig
    The focus of this thesis is star coloring planar graphs. A star coloring of a planar graph is a proper coloring in which no path on four vertices is colored with just two colors. A graph G is said to be k-star-colorable if G has a star coloring with a . . .
  • Work
    Thesis
    Stewart, Mary
    In this thesis, we study finite simple groups as well as the Classification Theorem, which classifies all such groups. We will see by the Classification Theorem that all simple groups are one of the following four types: cyclic of prime order, alterna . . .
  • Fn106z40n?file=thumbnail
    Thesis
    Sanders, Gina
    In this thesis, we investigate a coloring problem on a special class of graphs. A proper coloring of a graph is a coloring of the vertices of the graph so that vertices joined by an edge get different colors. A star-coloring of a graph is a proper col . . .
  • W37637335?file=thumbnail
    Thesis
    Melcher, Michael
    A monochromatic sink in an arc-colored tournament is a vertex that can be reached by every other vertex in the tournament by a monochromatic path. A rainbow k -cycle in an arc-colored tournament is a cycle with k arcs such that no two arcs in the cycl . . .
  • 8c97kr037?file=thumbnail
    Thesis
    Lovelace, Joshua Walter
    This thesis will briefly go over definitions and properties of continuous time Markov chains and describe the definition of reversibility and conditions for positive recurrence. We then discuss the evolution of the Markov chains studied in [12] which . . .
  • 6w924c251?file=thumbnail
    Thesis
    Jones, Jessica M
    The focus of this thesis is to use Galois Theory to prove results in Number Theory. As a result, we begin by familiarizing ourselves with some significant results in Galois Theory. We then proceed to discuss other pertinent results in Algebraic Number . . .
  • 1831ck48m?file=thumbnail
    Thesis
    Eddo, Timothy J
    Computing the k dominant singular values of a matrix A by computing the singular value decomposition may require an exorbitant amount time when A is large sparse and rectangular. Instead, the iterative Lanczos method may be used to compute a partial t . . .
  • Ww72bb994?file=thumbnail
    Thesis
    Sastre, Iane
    This work is based on the article" A Guide to Entropy and the Second Law of Thermodynamics" [1] by E. H. Lieb of Princeton University and J. Yngvason of Vienna University. The article appeared on the May 1998 issue of Notices of the American Mathemati . . .
  • Pr76f3912?file=thumbnail
    Thesis
    Orloff, Mai T
    This thesis examines methods to estimate errors of calculated solutions of linear systems. These methods include the traditional condition number, Skeel's condition numbers, and Chandrasekaran and Ipsen's component condition numbers. The thesis concen . . .
  • Pg15bf42c?file=thumbnail
    Thesis
    Buchwald, Charles Thomas
    This thesis involves the study of a two person game played on a tournament and some results concerning the topic of score sets for tournaments. A goal, in studying the game, is to determine if winning strategies for the game exist and if so, for which . . .
  • Zs25x906m?file=thumbnail
    Thesis
    Alidaee, Bahram
    We discuss the generalized Davidson's algorithm for computing accurate approximations of the k principal eigenpairs of a large, sparse, and symmetric n x n matrix. Our implementation of the iterative algorithm in the Matlab language is based on the ps . . .
  • Zg64tm459?file=thumbnail
    Thesis
    Botica, Joshua
    Little’s law arises naturally in the modeling and analysis of queueing systems. It relates the long run average number of items in an input-output system to the long run average time spent in the system by each item. It is given implied validity and j . . .
  • 0k225b71j?file=thumbnail
    Thesis
    Li, Yuan
    The business of Reaction Network Theory is to model and study the dynamical properties of biochemical processes and certain biological systems such ecological dynamics and spread of epidemics. When large number of reactants are present, a system of OD . . .
  • Dv13zt640?file=thumbnail
    Thesis
    Mulvany, Justin
    A multiclass processor sharing queue consists of a single server and a buffer that contains jobs that require service. At each time, the server simultaneously processes the work associated with each job in the buffer at a rate equal to the reciprocal . . .
  • Xd07gt135?file=thumbnail
    Thesis
    Newberg, Steven
    A moduli problem seeks to find a bijection between a class of objects and a topological space that describes the parameters of the class of objects. We will present the moduli problem for a type of curve used in cryptography, elliptic curves. The topo . . .
  • Cn69m4659?file=thumbnail
    Thesis
    Martinez, Martha
    The purpose of this paper is to utilize algebraic-geometric ideas in the study of polynomials for which the associated polynomial functions are permuta- tions of a given finite field. Polynomials of this type are called permutation polynomials. Due to . . .
  • Pr76f390s?file=thumbnail
    Thesis
    Santana, Michael
    This thesis focuses on two ideas in tournament theory: cycle intersections in tournaments (i.e., intersection spectra of tournaments) and some work done on score sequences of tournaments. Chapter 2 deals with the intersection spectrum of a specific fa . . .
  • M039k5314?file=thumbnail
    Thesis
    Knapp, Randall G
    This is a survey of various results concerning the extremity of graphs and digraphs. Given a graph, there are various subsets of the vertex set that can be interpreted as the "extremity of the graph"; we investigate several of these: the periphery, th . . .
  • Cj82k774r?file=thumbnail
    Thesis
    Hultman, Jason
    Hospital emergency room patients often experience lengthy delays while waiting for an open bed and treatment. Some patients become frustrated and leave without being seen, which results in lost hospital revenue. Hospital administrators are responding . . .
  • 3b591917r?file=thumbnail
    Thesis
    Mariscal, Eduardo
    The thesis goal is to prove unique prime factorization (UPF) for ideals in a cyclotomic integers in the most elementary and efficient way. This way it can later be formally verified. The reason is to help prepare a formal verification of Fermat's Last . . .
  • D504rk88r?file=thumbnail
    Thesis
    Brich, Jennifer
    This thesis focuses on the formalization of basic topics in commutative algebra using the proof assistant Isabelle. This written exposition will provide an overview of the work that was completed to formalize the following objectives in Isabelle: 1. D . . .
  • Xs55mc58h?file=thumbnail
    Thesis
    Reeves, Tonya
    A repetition is a sequence of symbols in which the first half is the same as the second half. An edge-coloring of a graph is repetition-free if there is no path with a color pattern that is a repetition. The minimum number of colors so that a graph ha . . .
  • 2r36tx97j?file=thumbnail
    Thesis
    Shinsato, Tina
    Over the past century golf has become an obsession among many Americans. With the popularity of any sport, the opportunity to gamble will usually follow. It is clear that a match-up between a casual golfer and an avid golfer would not be fair. Therefo . . .
  • 2z10wq65r?file=thumbnail
    Thesis
    Spangler, Megan
    We start by familiarizing ourselves with edge covers. We review several interesting results for covers using triangles and covers using cycles. We then consider covering a graph with cuts. Determining the minimum total number of edges in a cut cover o . . .
  • W0892b44f?file=thumbnail
    Thesis
    Patno, Janina Silvana P
    We consider the problem of sending a message in a communication network. Our networks are modeled by graphs. In our graphs we want to send a message from a vertex s, the sender, to a vertex r, the receiver, via paths from s tor. One difficulty we may . . .
  • 4q77fr932?file=thumbnail
    Thesis
    Mercado, Serena
    This thesis focuses on pricing derivatives securities such as stock options in incomplete financial markets. The goal is to determine arbitrage free prices for these securities. For this we consider a finite state, discrete time stochastic model of a . . .
  • 4x51hj69g?file=thumbnail
    Thesis
    May, Brian
    This paper begins with a brief discussion of algebraic geometry. Elliptic curves are algebraic varieties of genus one. We conclude the discussion of algebraic geometry with the definition of a function field. We then define an elliptic curve and prese . . .
  • Nc580n174?file=thumbnail
    Thesis
    Al-Azem, Kassem
    This presentation has two main parts. In the first part we start with introducing an extension of the Schwarz lemma, called the Schwarz-Pick lemma, in the complex plane. We then define a special type of automorphism, called the Mobius transformation, . . .
  • 2z10wq661?file=thumbnail
    Thesis
    Bobkoski, Carl
    Geneticists wish to pairwise align protein sequences in order to determine if the two sequences have a similar function. This thesis explains the use of hidden Markov models (HMM's) in the pairwise alignment of protein sequences. The pairwise alignmen . . .
  • Wp988k30x?file=thumbnail
    Thesis
    Toole, Alex
    A repetition-free coloring of a graph is a coloring of its vertices such that there are no paths for which the color pattern on the first half is repeated on the second half. The Thue chromatic number of a graph is the minimum number of colors require . . .
  • 05741s17q?file=thumbnail
    Thesis
    Talsania, Bhavisha
    This thesis discusses the formalization of basic results from linear algebra up to the following theorems, using the computer proof checker Isabelle. Chapter 1 provides a discussion of informal and formal proofs and an introduction to the thesis topic . . .
  • N870zr298?file=thumbnail
    Thesis
    Chen, Lixian
    This thesis examines the predator-prey models with harvesting of the prey. We first introduce the basic Lotka-Volterra predator-prey model and then discuss different harvesting strategies. Then we focus on two types of harvesting functions, and combin . . .
  • K930bx498?file=thumbnail
    Thesis
    Curiel, Nemo
    This thesis focuses on formalizing results involving automorphism groups of fields using the proof assistant Isabelle. Chapter 1 serves as an introduction to the thesis topic and includes a short history of computer proof assistants. In Chapter 2, we . . .
  • V979v349t?file=thumbnail
    Thesis
    Hernandez Hernandez, Jesus
    This thesis explores bond percolation on r-ary trees and then moves on to 3-regular infinite trees. The last chapter explores bond percolation on the square lattice where horizontal bonds are open in a periodic fashion.
  • St74cr08c?file=thumbnail
    Thesis
    Caldwell, James David
    This paper examines the problem of rank ordering a set of players or objects on the basis of a tournament arising from a complete set of pairwise comparisons.
  • Dz010q66x?file=thumbnail
    Thesis
    Singh, Leena
    Digitized as part of the "Retrospective Thesis and Dissertation Project." No abstract is available.
  • Mc87pq840?file=thumbnail
    Thesis
    Ellinger, Paul N
    Digitized as part of the "Retrospective Thesis and Dissertation Project." No abstract is available. Item only available to the CSUSM community. Authentication with campus user name and password required.
  • 6q182k61f?file=thumbnail
    Thesis
    Larson, Gregory S
    Digitized as part of the "Retrospective Thesis and Dissertation Project." No abstract is available.
  • Jd472w862?file=thumbnail
    Thesis
    McNulty, Anne
    This paper begins with the definition of an elliptic curve. We define the group law on elliptic curves and discuss methods for finding points on elliptic curves. We discuss torsion points and the use of division polynomials to calculate them. We inves . . .
  • Bv73c094c?file=thumbnail
    Thesis
    DePalma, Eli D
    Digitized as part of the "Retrospective Thesis and Dissertation Digitization Project." No abstract is available.
  • K930bx480?file=thumbnail
    Thesis
    Safaralian, Leila
    Digitized as part of the "Retrospective Thesis and Dissertation Digitization Project." No abstract is available.
  • Ff3655702?file=thumbnail
    Thesis
    Damon, Linn E
    Digitized as part of the "Retrospective Thesis and Dissertation Digitization Project." No abstract is available.
  • B5644s05p?file=thumbnail
    Thesis
    Dunbar, Keith Allan
    Digitized as part of the "Retrospective Thesis and Dissertation Digitization Project." No abstract is available.
  • Df65v987n?file=thumbnail
    Thesis
    Wilson, Jason R
  • 1r66j5810?file=thumbnail
    Thesis
    Wilson, Jason R
    A major part of topology is the study of properties of topological spaces that are invariant under homeomorphisms. Such properties allow us to classify spaces. Some basic examples are compactness and connectedness. Although quite useful, these propert . . .
  • K0698d123?file=thumbnail
    Thesis
    Vargas, Brian
    A search engine is intended to crawl the world wide web and retrieve a list of sites that match the user's search terms. Listing the search results in a proper order is crucial but it is far from being a trivial task. Prior to the rise of Google, sear . . .
  • Bn999c17t?file=thumbnail
    Thesis
    Stewart, Mary
    In this thesis, we study finite simple groups as well as the Classification Theorem, which classifies all such groups. We will see by the Classification Theorem that all simple groups are one of the following four types: cyclic of prime order, alterna . . .