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2002

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Articles 151 - 180 of 240

Full-Text Articles in Mathematics

Asymmetric Two-Colourings Of Graphs In S³, Erica Flapan, David Linnan Li Jan 2002

Asymmetric Two-Colourings Of Graphs In S³, Erica Flapan, David Linnan Li

Pomona Faculty Publications and Research

We prove that for any non-planar graph H, we can choose a two-colouring G of H such that G is intrinsically chiral, and if H is 3-connected and is not K3,3 or K5, then G is intrinsically asymmetric. No such asymmetric two-colouring is possible for K3,3 or K5.

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On Quadrature Rules Associated With Appell Polynomials, Gabriella Bretti, Matthew He, Paolo E. Ricci Jan 2002

On Quadrature Rules Associated With Appell Polynomials, Gabriella Bretti, Matthew He, Paolo E. Ricci

Mathematics Faculty Articles

A quadrature rule using Appell polynomials and generalizing both the Euler-MacLaurin quadrature formula and a similar quadrature rule, obtained in Bretti et al [15], which makes use of Euler (instead of Bernoulli) numbers and even (instead of odd) derivatives of the given function at the extrema of the considered interval, is derived. An expression of the remainder term and a numerical example are also enclosed.

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On The Regularity Of Solutions To Fully Nonlinear Elliptic Equations Via The Liouville Property, Qingbo Huang Jan 2002

On The Regularity Of Solutions To Fully Nonlinear Elliptic Equations Via The Liouville Property, Qingbo Huang

Mathematics and Statistics Faculty Publications

We show that any C1,1 solution to the uniformly elliptic equation F(D2u) = 0 must belong to C2,α, if the equation has the Liouville property.

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Minimality Of Certain Normal Connected Sums, Tian-Jun Li, Andras I. Stipsicz Jan 2002

Minimality Of Certain Normal Connected Sums, Tian-Jun Li, Andras I. Stipsicz

Turkish Journal of Mathematics

We show that the normal connected sum of two minimal symplectic 4-manifolds (neither of them rational or ruled) is a minimal symplectic 4-manifold. In the proof we use a symplectic sum formula for Gromov-Witten invariants.

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Numerical Solution And Convergence Speed Of Variational Formulation For Linear Schrödinger Equation, Murat Subaşi, Bünyami̇n Yildiz Jan 2002

Numerical Solution And Convergence Speed Of Variational Formulation For Linear Schrödinger Equation, Murat Subaşi, Bünyami̇n Yildiz

Turkish Journal of Mathematics

This paper presents a numerical solution of an optimal control problem for linear parabolic equations. The estimates for the error of the difference scheme and the speed of convergence have been established. Numerical results are reported on test problems.

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High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore Jan 2002

High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore

Trotter Review

High-stakes mathematics tests continue to gain popularity in the United States, with an increasing number of states setting the passing of such tests as a high school graduation requirement. Consequently, instruction and instructional content have changed, with teachers emphasizing materials on the test while neglecting other important aspects of learning. The tests have become all-consuming, taking over many students' lives. Yet students are often ill prepared for these tests. This is even more true for African-American students whose cultural and social circumstances make their preparation for high-stakes tests inadequate and ineffective. The author examines six such students - their hopes …

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Why Makik Can "Do" Math: Race And Status In Integrated Classrooms, Jacqueline Leonard, Scott Jackson Dantley Jan 2002

Why Makik Can "Do" Math: Race And Status In Integrated Classrooms, Jacqueline Leonard, Scott Jackson Dantley

Trotter Review

This case study reports on the small group interactions and achievements of Malik, an African American sixth grader, who attended a Maryland elementary school in 1997. Student achievement was measured by the Maryland Functional Mathematics Test (MFMT-I), which was given on a pre/post basis. Students' scores on the MFMT-I were analyzed using the ANOVA. The analysis revealed a significant difference (F = 3-330, p < .05) between the scores of Caucasian (M = 342.12) and African American students (M = 323-56). However, Malik's MFMT-I score rose from 293 to 353. A passing score is 340. This study examines Malik's interactions to ascertain what factors influenced his achievement. The findings are that Malik had a positive attitude about mathematics and a strong command of mathematical and scientific language. Recommendations are that teachers become cultural brokers to help all children learn the "language" of mathematics and encourage all students to become self-advocates to overcome negative social dynamics in small groups.

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Asymptotic Analysis Of Singularly Perturbed Abstract Evolution Equations In Banach And Hilbert Spaces, Dialla Konate Jan 2002

Asymptotic Analysis Of Singularly Perturbed Abstract Evolution Equations In Banach And Hilbert Spaces, Dialla Konate

Turkish Journal of Mathematics

In the current paper, we are concerned with the study of abstract linear evolution equations in Banach spaces in which the time derivative term is multiplied by a small parameter, say \epsilon. Such equations arise in the study of radiative transfer and neutron transport in Nuclear Physics. Following works by Krein (cf [9]) and others, Mika (cf [12,13,14,15]) using either the Hilbert method or the Compressed method has shown that the solution of the given singularly perturbed equation may be approximated upto any prescibed order by a sum of two asymptotic expansions that are the outer expansion that is valid …

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A Minimal Regular Ring Extension Of C(X), Melvin Henriksen, Robert M. Raphael, R. G. Woods Jan 2002

A Minimal Regular Ring Extension Of C(X), Melvin Henriksen, Robert M. Raphael, R. G. Woods

All HMC Faculty Publications and Research

Let G(X) denote the smallest (von Neumann) regular ring of real-valued functions with domain X that contains C(X), the ring of continuous real-valued functions on a Tikhonov topological space (X,Τ). We investigate when G(X) coincides with the ring C(X,Τδ) of continuous real-valued functions on the space (X,Τδ), where Τδ is the smallest Tikhonov topology on X for which tau subset of or equal to tau(delta) and C(X,Τδ) is von Neumann regular. The compact and metric spaces for which G(X) = C(X,Τδ) are characterized. Necessary, and different sufficient, conditions for the equality …

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Vaccination Strategies And Backward Bifurcation In Age-Since-Infection Structured Model, Christopher Kribs, Maia Martcheva Jan 2002

Vaccination Strategies And Backward Bifurcation In Age-Since-Infection Structured Model, Christopher Kribs, Maia Martcheva

Mathematics Faculty Publications - Archive

We consider models for a disease with acute and chronic infective stages, and variable infectivity and recovery rates, within the context of a vaccination campaign. Models for SIRS and SIS disease cycles exhibit backward bifurcations under certain conditions, which complicate the criteria for success of the vaccination campaign by making it possible to have stable endemic states when R0 < 1. We also show the extent to which the forms of the infectivity and recovery functions affect the possibility of backward bifurcations. SIR and SI models examined do not exhibit this behavior.

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Four Anharmonic Oscillators On A Circle, J. N. Boyd, R. G. Hudepohl, P. N. Raychowdhury Jan 2002

Four Anharmonic Oscillators On A Circle, J. N. Boyd, R. G. Hudepohl, P. N. Raychowdhury

Virginia Journal of Science

Four identical, uniformly separated particles interconnected by ideal anharmonic springs are constrained to move on a fixed, frictionless circular track. The Lagrangian for the system is written and then transformed by matrix operations suggested by the symmetry of the arrangement of springs and particles. The equations of motion derived from the transformed Lagrangian yield four natural frequencies of motion.

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Environmental Factors Contributing To The Disaggregation Of A Colonial Cyanoprokaryote And Its Influence On Picoplankton Abundance Within Lake Joyce, Virginia, Lewis F. Affronti Jr., B. Thomas Duquette Jan 2002

Environmental Factors Contributing To The Disaggregation Of A Colonial Cyanoprokaryote And Its Influence On Picoplankton Abundance Within Lake Joyce, Virginia, Lewis F. Affronti Jr., B. Thomas Duquette

Virginia Journal of Science

A colonial cyanoprokaryote, Aphanocapsa holsatica and autotrophic picoplankton abundance were monitored weekly over a two year period in Lake Joyce, Virginia. Significant differences were observed in both the cyanoprokaryote and picoplankton abundance over the study period and an inverse relationship was observed between these two plankton groups. Disaggregation of colonies was shown to contribute to picoplankton populations where water temperature and precipitation input apparently trigger colony dispersion. This relationship is suggested to occur in other aquatic habitats. Results of this work and its implications for ecosystem dynamics are discussed.

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Absolutely Continuous Jacobi Operators, Steen Pedersen Jan 2002

Absolutely Continuous Jacobi Operators, Steen Pedersen

Mathematics and Statistics Faculty Publications

No abstract provided.

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Domain Functionals And Exit Times For Brownian Motion, Chaocheng Huang, David Miller Jan 2002

Domain Functionals And Exit Times For Brownian Motion, Chaocheng Huang, David Miller

Mathematics and Statistics Faculty Publications

Two domain functionals describing the averaged expectation of exit times and averaged variance of exit times of Brownian motion from a domain, respectively, are studied.

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Kefahaman Pelajar Tingkatan Empat Tentang Kecerunan Garis Lurus, Latifah Hj. Arshad Jan 2002

Kefahaman Pelajar Tingkatan Empat Tentang Kecerunan Garis Lurus, Latifah Hj. Arshad

Student Works (2000-2009)

Kajian ini dijalankan dalam rangka teori Fahaman Binaan dan mempunyai dua tujuan utama iaitu untuk mengenal pasti kefahaman tentang kecerunan garis lurus yang dipunyai oleh pelajar tingkatan empat dan cara yang digunakan oleh pelajar untuk menyelesaikan masalah yang melibatkan kecerunan garis lurus. Teknik temu duga yang berlandaskan model temu duga Klinikal Piaget digunakan u ntuk mengumpul data. Data bagi kajian ini merangkurni maklumat lisan dan bukan lisan yang dikumpul daripada tiga orang pelajar tingkatan empat yang berbeza dari segi pencapaian akademiknya. Empat aktiviti dalam tiga sesi temu duga klinikal telah dijalankan, iaitu (a) gambaran mental, (b) perwakilan, (c) makna kecerunan …

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Oscillation Criteria For A Class Of Partial Functional-Differential Equations Of Higher Order, Tariel Kiguradze, Takaŝi Kusano, Norio Yoshida Jan 2002

Oscillation Criteria For A Class Of Partial Functional-Differential Equations Of Higher Order, Tariel Kiguradze, Takaŝi Kusano, Norio Yoshida

Mathematics and System Engineering Faculty Publications

Higher order partial differential equations with functional arguments including hyperbolic equations and beam equations are studied. Sufficient conditions are derived for every solution of certain boundary value problems to be oscillatory in a cylindrical domain. Our approach is to reduce the multi-dimensional oscillation problem to a one-dimensional problem for higher order functional differential inequalities.

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Existence Of Solutions For Discontinuous Functional Equations And Elliptic Boundary-Value Problems, Siegfried Carl, Seppo V. Heikkilä Jan 2002

Existence Of Solutions For Discontinuous Functional Equations And Elliptic Boundary-Value Problems, Siegfried Carl, Seppo V. Heikkilä

Mathematics and System Engineering Faculty Publications

We prove existence results for discontinuous functional equations in general Lp-spaces and apply these results to the solvability of implicit and explicit elliptic boundary-value problems involving discontinuous nonlinearities. The main tool in the proof is a fixed point result in lattice-ordered Banach spaces proved by the second author. © 2002 Southwest Texas State University.

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Resonance Problems With Respect To The Fučík Spectrum Of The P-Laplacian, Kanishka Perera Jan 2002

Resonance Problems With Respect To The Fučík Spectrum Of The P-Laplacian, Kanishka Perera

Mathematics and System Engineering Faculty Publications

We solve resonance problems with respect to the Fučík spectrum of the p-Laplacian using variational methods.

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One-Sided Resonance For Quasilinear Problems With Asymmetric Nonlinearities, Kanishka Perera Jan 2002

One-Sided Resonance For Quasilinear Problems With Asymmetric Nonlinearities, Kanishka Perera

Mathematics and System Engineering Faculty Publications

One-sided resonance for quasilinear problems with asymmetric nonlinearities

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An Upper And Lower Solution Approach For A Generalized Thomas–Fermi Theory Of Neutral Atoms, Ravi P. Agarwal, Donal O'Regan Jan 2002

An Upper And Lower Solution Approach For A Generalized Thomas–Fermi Theory Of Neutral Atoms, Ravi P. Agarwal, Donal O'Regan

Mathematics and System Engineering Faculty Publications

An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. The boundary conditions were investigated for the neutral atoms, the ionized atoms and the isolated neutral atoms.

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Stability Analysis Of Nonlinear Lyapunov Systems Associated With An Nth Order System Of Matrix Differential Equations, Kanuri N. Murty, Michael D. Shaw Jan 2002

Stability Analysis Of Nonlinear Lyapunov Systems Associated With An Nth Order System Of Matrix Differential Equations, Kanuri N. Murty, Michael D. Shaw

Mathematics and System Engineering Faculty Publications

This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system. We study observability and controllability of a special system of nth order nonlinear Lyapunov systems.

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Rational Generalized Moonshine From Abelian Orbifoldings Of The Moonshine Module, Rossen Ivanov, Michael Tuite Jan 2002

Rational Generalized Moonshine From Abelian Orbifoldings Of The Moonshine Module, Rossen Ivanov, Michael Tuite

Articles

We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order p = 2, 3, 5, 7 and the other of order pk for k = 1 or k prime. We show that constraints arising from meromorphic orbifold conformal field theory allow us to demonstrate that each orbifold partition function with rational coefficients is either constant or is a hauptmodul for an explicitly found modular fixing group of genus zero. We thus confirm in the cases considered the Generalised Moonshine conjectures for all rational …

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A Macwilliams Type Identity, İrfan Şi̇ap Jan 2002

A Macwilliams Type Identity, İrfan Şi̇ap

Turkish Journal of Mathematics

A MacWilliams identity for a \rho complete weight enumerator of linear spaces of matrices with entries from the ring F_q[u]/(u^r-a), where a \in F_q, endowed with a non-Hamming metric is proved.

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Solving Fuzzy Linear Programming Problems With Linear Membership Function, Rafail R. Gasimov, Kürşat Yeni̇lmez Jan 2002

Solving Fuzzy Linear Programming Problems With Linear Membership Function, Rafail R. Gasimov, Kürşat Yeni̇lmez

Turkish Journal of Mathematics

In this paper, we concentrate on two kinds of fuzzy linear programming problems: linear programming problems with only fuzzy technological coefficients and linear programming problems in which both the right-hand side and the technological coefficients are fuzzy numbers. We consider here only the case of fuzzy numbers with linear membership functions. The symmetric method of Bellman and Zadeh [2] is used for a defuzzification of these problems. The crisp problems obtained after the defuzzification are non-linear and even non-convex in general. We propose here the ``modified subgradient method'' and use it for solving these problems. We also compare the new …

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Ko-Groups Of Bounded Flag Manifolds, Yusuf Ci̇van Jan 2002

Ko-Groups Of Bounded Flag Manifolds, Yusuf Ci̇van

Turkish Journal of Mathematics

We exhibit an appropriate suspension of bounded flag manifolds as a wedge sum of Thom complexes of associated complex line bundles. We use the existence of such a splitting to assist our computation of real and complex K-groups. Moreover, we compute the Sq^2-homology of bounded flag manifolds to make use of relevant Atiyah-Hirzebruch spectral sequence of KO-theory.

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Valuations And Filtrations, Edward Mosteig Jan 2002

Valuations And Filtrations, Edward Mosteig

Mathematics, Statistics and Data Science Faculty Works

The classical theory of Gröbner bases, as developed by Bruno Buchberger, can be expanded to utilize objects more general than term orders. Each term order on the polynomial ring k[x] produces a filtration of k[x] and a valuation ring of the rational function field k(x). The algorithms developed by Buchberger can be performed by using directly the induced valuation or filtration in place of the term order. There are many valuations and filtrations that are suitable for this general computational framework that are not derived from term orders, even after a change of variables. Here we study how to translate …

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An Effective Version Of Belyi's Theorem, Lily S. Khadjavi Jan 2002

An Effective Version Of Belyi's Theorem, Lily S. Khadjavi

Mathematics, Statistics and Data Science Faculty Works

We compute bounds on covering maps that arise in Belyi's Theorem. In particular, we construct a library of height properties and then apply it to algorithms that produce Belyi maps. Such maps are used to give coverings from algebraic curves to the projective line ramified over at most three points. The computations here give upper bounds on the degree and coefficients of polynomials and rational functions over the rationals that send a given set of algebraic numbers to the set {0,1,∞} with the additional property that the only critical values are also contained in {0,1,∞}.

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C-Closed Sets In L-Fuzzy Topological Spaces And Some Of Its Applications, Ali̇ Ahmed Nouh Jan 2002

C-Closed Sets In L-Fuzzy Topological Spaces And Some Of Its Applications, Ali̇ Ahmed Nouh

Turkish Journal of Mathematics

We introduce and study the notion of C-closed sets in L-fuzzy topological spaces. Then, C-convergence theory for nets and ideals is established in terms of C-closedness. Finally, we give a new concept of C-continuity on L-fuzzy topological space by means of L-fuzzy C-closedness and investigate some of its properties and its relationships with other L-fuzzy mappings introduced previously. Then we systematically study the characterizations of this notion with the aid of the C-convergence of L-fuzzy nets and L-fuzzy ideals.

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On Locally Pre-C^{*}-Algebra Structures In Locally M-Convex H^{*}-Algebras, A. El-Kinani Jan 2002

On Locally Pre-C^{*}-Algebra Structures In Locally M-Convex H^{*}-Algebras, A. El-Kinani

Turkish Journal of Mathematics

We endow any locally m-convex H^{*}-algebra \left( E,\tau \right) with a locally pre-C^{*}-topology weaker than \tau. Examples and applications are provided.

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The Fine Spectra Of The Rhaly Operators On C_{0}, Mustafa Yildirim Jan 2002

The Fine Spectra Of The Rhaly Operators On C_{0}, Mustafa Yildirim

Turkish Journal of Mathematics

In 1975, Wenger [3] determined the fine spectra of Cesàro operator C_{1} on c, the space of convergent sequences. In [6], the spectrum of the Rhaly operators on c_{0} and c, under the assumption that {\displaystyle\lim_{n \rightarrow \infty}(n+1)a_{n} }=L\neq 0, has been determined. This paper presents the fine spectra of the Rhaly matrix R_{a} as an operator on the space c_{0}, with the same assumption.

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