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Dissertations / Theses on the topic 'Two Numbers'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

McNamara, James N. "Two new Ramsey numbers /." Online version of thesis, 1992. http://hdl.handle.net/1850/11146.

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2

Lin, Wensong. "Circular chromatic numbers and distance two labelling numbers of graphs." HKBU Institutional Repository, 2004. http://repository.hkbu.edu.hk/etd_ra/591.

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3

Kong, Yafang, and 孔亚方. "On linear equations in primes and powers of two." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B50533769.

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It is known that the binary Goldbach problem is one of the open problems on linear equations in primes, and it has the Goldbach-Linnik problem, that is, representation of an even integer in the form of two odd primes and powers of two, as its approximate problem. The theme of my research is on linear equations in primes and powers of two. Precisely, there are two cases: one pair of linear equations in primes and powers of two, and one class of pairs of linear equations in primes and powers of two, in this thesis. In 2002, D.R. Heath-Brown and P.C. Puchta obtained that every sufficiently lar

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4

Armulik, Villem-Adolf. "Ramsey Numbers and Two-colorings ofComplete Graphs." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-44610.

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Ramsey theory has to do with order within disorder. This thesis studies two Ramsey numbers, R(3; 3) and R(3; 4), to see if they can provide insight into finding larger Ramsey numbers. The numbers are studied with the help of computer programs. In the second part of the thesis we try to create a coloring of K45 which lacks monochromatic K5 and where each vertex has an equal degree for both color of edges. The results from studying R(3; 3) and R(3; 4) fail to give any further insight into larger Ramsey numbers. Every coloring of K45 we produce contains a monochromatic K5.

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5

Coward, Daniel R. "Sums of two rational cubes." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.320587.

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6

Fernandez, Manuel Franco. "Local root numbers of two-dimensional symplectic representations." Thesis, University of Southampton, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432725.

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7

Djang, Claire. "Two-Coloring Cycles In Complete Graphs." Oberlin College Honors Theses / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=oberlin1370618319.

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8

Han, Sang-Geun. "Two applications of p-adic L-functions /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu148733154171079.

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9

Straw, N. A. "Resource limitation and competition in two tephritid flies attacking the flowerheads of lesser burdock (Arctium minus)." Thesis, University of Cambridge, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384516.

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10

Stone, Megan Elizabeth, and Megan Elizabeth Stone. "Eigenvalue Densities for the Hermitian Two-Matrix Model and Connections to Hurwitz Numbers." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/626370.

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This dissertation investigates the limiting distribution of eigenvalues of pairs of matrices (M_1,M_2) belonging to the Hermitian two-matrix model. This model is an example of a larger class of models, "multi-matrix models", which aim to generalize the Hermitian one-matrix model. The interaction between matrices in multi-matrix models makes the analysis of the eigenvalue distributions more difficult than those for the one-matrix model. This dissertation makes use of a recent result which connects the interaction term for the two-matrix model to a combinatorial geometry problem. In particular,

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11

Moss, Joan. "Deepening children's understanding of rational numbers, a developmental model and two experimental studies." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0021/NQ49900.pdf.

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12

Dimas, Athanassios A. "Interaction between a two-dimensional wake and the free surface at low Froude numbers." Thesis, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/14730.

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Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1988, and (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1988.<br>Bibliography: leaf 84.<br>by Athanassios A. Dimas.<br>M.S.

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13

Lin, C. A. "Computational study of compressibility effects in two-dimensional steady turbulent junction flow at high subsonic mach numbers." Thesis, University of Manchester, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.380181.

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14

Rasch, Dieter, Thomas Rusch, Marie Simeckova, Klaus D. Kubinger, Karl Moder, and Petr Simecek. "Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers." Springer, 2009. http://dx.doi.org/10.1070/s00362-009-0254-4.

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In variety testing as well as in psychological assessment, the situation occurs that in a two-way ANOVA-type model with only one replication per cell, analysis is done under the assumption of no interaction between the two factors. Tests for this situation are known only for fixed factors and normally distributed outcomes. In the following we will present five additivity tests and apply them to fixed and mixed models and to quantitative as well as to Bernoulli distributed data. We consider their performance via simulation studies with respect to the type-I-risk and power. Furthermore, tw

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15

Rivedal, Nikolai Hydle. "Two-dimensional Simulations of Particle Deposition on a Cylinder in a Turbulent Cross Flow at Intermediate Reynolds Numbers." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, 2011. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-13994.

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The behaviour of particles in turbulent flow, with emphasis on particle deposition on both the frontside and backside of a cylinder, was investigated by means of Direct Numerical Simulations. One-way coupling between the fluid and the particles was applied. Simulations of turbulence forced at small, intermediate and large scales were run on a three-dimensional domain. The turbulence was used as inlet on a two-dimensional flow domain, where a Lagrangian tracker was used to compute the particle motions. The Reynolds numbers used were Rec = 421 and Rec = 1685. For intermediate Stokes numbers, or

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16

Trespalacios, Jesus. "The Effects of Two Generative Activities on Learner Comprehension of Part-Whole Meaning of Rational Numbers Using Virtual Manipulatives." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/26508.

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The study investigated the effects of two generative learning activities on students’ academic achievement of the part-whole representation of rational numbers while using virtual manipulatives. Third-grade students were divided randomly in two groups to evaluate the effects of two generative learning activities: answering-questions and generating-examples while using two virtual manipulatives related to part-whole representation of rational numbers. The study employed an experimental design with pre- and post-tests. A 2x2 mixed analysis of variance (ANOVA) was used to determine any significan

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17

Alfredsson, Jessica. "Molecular Studies of Mast Cell Migration and Apoptosis : Two Ways of Regulating Mast Cell Numbers at Sites of Inflammation." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4807.

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18

Schirmer, Trenton Frederick. "Two varieties of tunnel number subadditivity." Diss., University of Iowa, 2012. https://ir.uiowa.edu/etd/3379.

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Knot theory and 3-manifold topology are closely intertwined, and few invariants stand so firmly in the intersection of these two subjects as the tunnel number of a knot, denoted t(K). We describe two very general constructions that result in knot and link pairs which are subbaditive with respect to tunnel number under connect sum. Our constructions encompass all previously known examples and introduce many new ones. As an application we describe a class of knots K in the 3-sphere such that, for every manifold M obtained from an integral Dehn filling of E(K), g(E(K))>g(M).

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19

Schill, Collberg Adam. "The last two digits of mk." Thesis, Linköpings universitet, Matematiska institutionen, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-78532.

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In this thesis the last two digits of m^k, for different cases of the positive integers m and k, in the base of 10 has been determined. Moreover, using fundamental theory from elementary number theory and abstract algebra, results most helpful in finding the last two digits in any base b has been regarded and developed, such as how to reduce large m and k to more manageable numbers.

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20

Chan, Wai-lan Winnie. "An investigation into two-digit number processing among Chinese children and adults." Click to view the E-thesis via HKUTO, 2009. http://sunzi.lib.hku.hk/hkuto/record/B42841495.

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21

Gaebler, Robert. "Alexander Polynomials of Tunnel Number One Knots." Scholarship @ Claremont, 2004. https://scholarship.claremont.edu/hmc_theses/162.

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Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group which has a simple presentation with only two generators and one relator. The relator has a form that gives rise to a formula for the Alexander polynomial of the knot or link in terms of p and q [15]. Every two-bridge knot or link also has a corresponding “up down” graph in terms of p and q. This graph is analyzed combinatorially to prove several properties of the Alexander polynomial. The number of two-bridge knots and links of a given crossing number are also counted.

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22

Cochran, Christopher S. "Even-number spin correlations on two-dimensional Ising lattice structures." Virtual Press, 2002. http://liblink.bsu.edu/uhtbin/catkey/1237760.

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Many physical systems can be represented by a regular arrangement of molecules in a lattice structure. Knowing how neighboring molecules in the lattice interact with one another can give great insight into a material's macroscopic behavior. A very popular and effective means of investigating these microscopic interactions is the Ising Model. This model, suggested first by Wilhelm Lenz in 1920 and later expanded by Ernst Ising in 1925, is based on the assumptions that each molecule in a lattice structure can be represented by its spin value (+l or -1) and that only nearest neighbors contribute

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23

Norem, Margaret A. "Box Number Two Arrives at the Svalbard Global Seed Vault." University of Arizona (Tucson, AZ), 2012. http://hdl.handle.net/10150/556792.

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24

Chan, Wai-lan Winnie, and 陳偉蘭. "An investigation into two-digit number processing among Chinese children and adults." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2009. http://hub.hku.hk/bib/B42841495.

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25

Hoehner, Steven D. "The Hasse-Minkowski Theorem in Two and Three Variables." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338317481.

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26

Childers, Kevin Ronald. "Octahedral Extensions and Proofs of Two Conjectures of Wong." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5314.

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Consider a non-Galois cubic extension K/Q ramified at a single prime p > 3. We show that if K is a subfield of an S_4-extension L/Q ramified only at p, we can determine the Artin conductor of the projective representation associated to L/Q, which is based on whether or not K/Q is totally real. We also show that the number of S_4-extensions of this type with K as a subfield is of the form 2^n - 1 for some n >= 0. If K/Q is totally real, n > 1. This proves two conjectures of Siman Wong.

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27

Gottapu, Manohar. "Two-phase flow: buoyancy driven flow of a partially miscible droplet at low Reynolds number a thesis presented to the faculty of the Graduate School, Tennessee Technological University /." Click to access online, 2009. http://proquest.umi.com/pqdweb?index=0&did=2000384971&SrchMode=1&sid=3&Fmt=6&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1279288319&clientId=28564.

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28

Cole, Sarah Elizabeth S. B. Massachusetts Institute of Technology. "Design of two-tailed swimmer to swim at low-Reynolds number." Thesis, Massachusetts Institute of Technology, 2009. http://hdl.handle.net/1721.1/54530.

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Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2009.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 30).<br>In the realm of systems with Reynolds numbers less than 1, swimming is a difficult task. Viscous forces from the fluid dominate inertial forces. In order to propel itself, a mechanism must be designed to overcome the viscous forces from the fluid and satisfy the non-reciprocal, cyclic motion requirements of the Scallop Theorem. Furthermore, a swimmer must employ one of the three mechanisms stated by Purcell to b

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29

Simpson, Glen E. "PSL(2,7)-Extensions with Certain Ramification at Two Primes." Diss., CLICK HERE for online access, 2004. http://contentdm.lib.byu.edu/ETD/image/etd469.pdf.

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30

Derbyshire, John. "The two-stage weighted lottery solution to the Number Problem : a defence." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/the-twostage-weighted-lottery-solution-to-the-number-problem-a-defence(0f658f31-75af-4285-953e-8f5e4ff239a7).html.

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The subject of this thesis is the Number Problem, a question of distributive justice in which an indivisible benefit or burden must be allocated to one group of individuals at the expense of at least one other group, where the groups contain different people. When these groups differ in size, the Number Problem asks whether the interests of the largest group should always prevail in virtue of the greater number of people that stand to benefit. My answer is that they should not, that we should hold a two-stage weighted lottery to decide what to do. My method begins by assessing the relative los

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31

Reasor, Jr Daniel A. "NUMERICAL SIMULATION OF TWO FLOW CONTROL APPROACHES FOR LOW REYNOLDS NUMBER APPLICATIONS." UKnowledge, 2007. http://uknowledge.uky.edu/gradschool_theses/461.

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Current research in experimental and computational fluid dynamics is focused in the area of flow control. Flow control devices are usually classified as either passive or active. Plasma actuators are active flow control devices that require input from an external power source. Current efforts have modeled the effects of plasma actuators as a body force near the electrode. The research presented herein focuses on modeling the fluid-plasma interaction seen in dielectric barrier discharge plasma actuators as a body force vector in the region above the embedded electrode using computational fluid

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32

PORTELA, RAQUEL RIBEIRO BARROSO. "LEGENDRIAN KNOTS AND THE MAXIMAL THURSTON-BENNEQUIN NUMBER OF TWO-BRIDGE KNOTS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2007. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=11429@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>O propósito deste trabalho é apresentar a teoria dos nós legendreanos, que diz respeito a nós tangentes a uma estrutura de contato, assim como demonstrar o Teorema do Número Máximo de Thurston- Bennequin para nós de 2-pontes em termos do polinômio de Kaumman. Iniciamos este trabalho com uma introdução aos nós topológicos. Apresentamos a teoria de nós legendreanos, dando ênfase aos nós legendreanos em R3 tangentes à estrutura de contato canônica neste espa»co. Apresentamos dois invariantes clássicos de nós legendreanos: os números de T

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33

Richardson, Robert. "On the Number of Integers Expressible as the Sum of Two Squares." Connect to resource online, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1265123768.

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34

Ahmed, Ibrahim H. I. "Mathematical modeling of an epidemic under vaccination in two interacting populations." Thesis, University of the Western Cape, 2011. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_8857_1360922452.

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<p><b>In this dissertation we present the quantitative response of an epidemic of the so-called SIR-type, in a population consisting of a local component and a migrant component. Each component can be divided into three classes, the susceptible individuals, usually denoted by S, who are uninfected but may contract the disease, infected individuals (I) who are infected and can spread the disease to the susceptible individuals and the class (R) of recovered individuals. If a susceptible individual becomes infected, it moves into the infected class. An infected individual, at recovery, moves to t

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35

Arasanipalai, Sriram Sharan. "Two-equation model computations of high-speed (ma=2.25, 7.2), turbulent boundary layers." Thesis, [College Station, Tex. : Texas A&M University, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-3186.

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36

Marir, F. "The application of number theoretic transforms to two dimensional convolutions and adaptive filtering." Thesis, University of Newcastle Upon Tyne, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374136.

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37

Peng, Haolei. "Effects of two-way left-turn lane on roadway safety." [Tampa, Fla.] : University of South Florida, 2004. http://purl.fcla.edu/fcla/etd/SFE0000289.

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38

Fu, Yun. "Linear stability of an interface between two incompressible fluids." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1142955745.

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39

Salt, Brittney M. "MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS." CSUSB ScholarWorks, 2014. https://scholarworks.lib.csusb.edu/etd/31.

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This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this? Two cases are considered here: the zero-dimensional case and the one-dimensional case for monoid rings. Each case is looked at to determine if monoid rings that are not PIRs but are two-generated have the strong two-generator property. Full results are given in the zero-dimensional case, however only partial results have been found for the one-dimensional case.

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40

Pritchard, David Thomas. "Some problems in two-phase flow : intertidal mudflats and low Reynolds number gravity currents." Thesis, University of Bristol, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.391189.

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41

Rival, Elisabeth. "L'Univers de Peter Greenaway : ou L'art du négatif : Films-fictions de "Draughtsman's Contract" à "Baby of Mâcon"." Lille 3, 1999. http://www.theses.fr/1999LIL30001.

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42

Pluntze, Stephen Christian. "Reynolds number trends in computational solutions of two-dimensional airfoils with Taguchi techniques and grid resolution /." Thesis, Connect to this title online; UW restricted, 1997. http://hdl.handle.net/1773/10006.

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43

Dupuy, Benjamin. "Etudes sur les équations de Ramanujan-Nagell et de Nagell-Ljunggren ou semblables." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2009. http://tel.archives-ouvertes.fr/tel-00429631.

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Dans cette thèse, on étudie deux types d'équations diophantiennes. Une première partie de notre étude porte sur la résolution des équations dites de Ramanujan-Nagell $Cx^2+b^{2m}D=y^n$. Une deuxième partie porte sur les équations dites de Ngell-Ljunggren\\ $\frac{x^p+y^p}{x+y}=p^ez^q$ incluant le cas diagonal $p=q$. Les nouveaux résultats obtenus seront appliqués aux équations de la forme $x^p+y^p=Bz^q$. L'équation de Catalan-Fermat (cas $B=1$) fera l'objet d'un traitement à part.

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44

Bennington, Jeremy Lawrence. "Effects of Various Shaped Roughness Elements in Two-Dimensional High Reynolds Number Turbulent Boundary Layers." Thesis, Virginia Tech, 2004. http://hdl.handle.net/10919/34907.

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Modeling the effects of surface roughness is an area of concern in many practical engineering applications. Many current roughness models to this point have involved the use of empirical 'constants' and equivalent sand grain roughness. These underdeveloped concepts have little direct relationship to realistic roughness and cannot predict accurately and consistently the flow characteristics for different roughness shapes. In order to aid in the development of turbulence models, the present research is centered around the experimental investigation of seven various shaped single roughness ele

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45

PYLES, JOHN MICHAEL. "AN EXAMINATION OF TWO-DIMENSIONAL ROLL OSCILLATIONS ON THE LIQUID DYNAMICS OF A PARTIALLY FILLED RECTANGULAR TANK." University of Cincinnati / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1162913711.

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46

Bhaumik, Claire Das. "Modelling of two-dimensional suspension flows at low Reynolds number using a novel boundary element formulation." Thesis, Brunel University, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.422412.

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47

Karuhanga, Martin. "Estimates for the number of eigenvalues of two dimensional Schrödinger operators lying below the essential spectrum." Thesis, King's College London (University of London), 2016. https://kclpure.kcl.ac.uk/portal/en/theses/estimates-for-the-number-of-eigenvalues-of-two-dimensional-schroedinger-operators-lying-below-the-essential-spectrum(696e1e8c-a43e-43d2-80da-c05e09be5a97).html.

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The celebrated Cwikel-Lieb-Rozenblum inequality gives an upper estimate for the number of negative eigenvalues of Schrödinger operators in dimension three and higher. The situation is much more difficult in the two dimensional case. There has been significant progress in obtaining upper estimates for the number of negative eigenvalues of two dimensional Schrödinger operators on the whole plane. In this thesis, we present upper estimates of the Cwikel-Lieb-Rozenblum type for the number of eigenvalues (counted with multiplicities) of two dimensional Schrödinger operators lying below the essentia

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48

Wenger, Christian W. "Analysis of Two-point Turbulence Measurements for Aeroacoustics." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/30837.

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Simultaneous two-point three-component four-sensor hot-wire velocity measurements taken in three flows of aeroacoustic interest are here analyzed. The analyses provide information on the turbulence structure of the flows as it would be encountered by hypothetical noise producing blades passing through the flows. Two-point measurements taken in the first flow, a lifting wake from a rectangular NACA 0012 half wing, are used to calculate space-time correlation functions and 'pointwise' wave number frequency spectra. Two upwash spectra, calculated for locations in the region of the wake that is

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49

Labadin, Jane. "Theory and computation of high Reynolds number fluid flow over and around two and three dimensional obstacles." Thesis, Imperial College London, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.397653.

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50

Jones, Margaret Lewis. "A comparison of two strategies used to reduce the number of dropout-prone students in urban middle schools." Diss., Virginia Tech, 1991. http://hdl.handle.net/10919/39821.

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The primary purpose of this study was to compare academic achievement and behavioral characteristics of students enrolled in the Career Exploratory Middle School (CEMS), an alternative middle school, with the academic achievement and behavioral characteristics of students in a project called Building and Supplementing Instruction in the Core Skills (BASICS), a dropout prevention program within traditional middle schools. The independent· variable was CEMS. The dependent variables were SRA composite scores, absences, days tardy, grade point average and office referrals. Project BASICS was used

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