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Articles 21721 - 21750 of 27447

Full-Text Articles in Physical Sciences and Mathematics

Queuing Systems With Multiple Fbm-Based Traffic Models, Mihaela Teodora Matache, Valentin Matache Jan 2005

Queuing Systems With Multiple Fbm-Based Traffic Models, Mihaela Teodora Matache, Valentin Matache

Mathematics Faculty Publications

A multiple fractional Brownian motion (FBM)-based traffic model is considered. Various lower bounds for the overflow probability of the associated queueing system are obtained. Based on a probabilistic bound for the busy period of an ATM queueing system associated with a multiple FBM-based input traffic, a minimal dynamic buffer allocation function (DBAF) is obtained and a DBAF-allocation algorithm is designed. The purpose is to create an upper bound for the queueing system associated with the traffic. This upper bound, called a DBAF, is a function of time, dynamically bouncing with the traffic. An envelope process associated with the multiple FBM-based …

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Asynchronous Random Boolean Network Model Based On Elementary Cellular Automata Rule 126, Mihaela Teodora Matache, Jack Heidel Jan 2005

Asynchronous Random Boolean Network Model Based On Elementary Cellular Automata Rule 126, Mihaela Teodora Matache, Jack Heidel

Mathematics Faculty Publications

This paper considers a simple Boolean network with N nodes, each node’s state at time tbeing determined by a certain number k of parent nodes, which is fixed for all nodes. The nodes, with randomly assigned neighborhoods, are updated based on various asynchronous schemes. We make use of a Boolean rule that is a generalization of rule 126 of elementary cellular automata. We provide formulas for the probability of finding a node in state 1 at a time t for the class of asynchronous random Boolean networks (ARBN) in which only one node is updated at every time step, and …

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Survival Analysis, Mohammad Alif Wardak Jan 2005

Survival Analysis, Mohammad Alif Wardak

Theses Digitization Project

Survival analysis pertains to a statistical approach designed to take into account the amount of time an experimental unit contributes to a study. A Mayo Clinic study of 418 Primary Biliary Cirrhosis patients during a ten year period was used. The Kaplan-Meier Estimator, a non-parametric statistic, and the Cox Proportional Hazard methods were the tools applied. Kaplan-Meier results include total values/censored values.

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Root Subgroups Of The Rank Two Unitary Groups, Matthew Thomas Henes Jan 2005

Root Subgroups Of The Rank Two Unitary Groups, Matthew Thomas Henes

Theses Digitization Project

Discusses certain one-parameter subgroups of the low-rank unitary groups called root subgroups. Unitary groups also have representations of Lie type which means they consist of transformations that act as automorphisms of an underlying Lie algebra, in this case the special linear algebra. Exploring this definition of the unitary groups, we find a correlation, via exponentiation, to the basis elements of Lie algebra.

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Symmetric Representation Of Elements Of Sporadic Groups, Elena Yavorska Harris Jan 2005

Symmetric Representation Of Elements Of Sporadic Groups, Elena Yavorska Harris

Theses Digitization Project

Uses the techniques of symmetric presentations to manipulate elements of large sporadic groups and to represent elements of these groups in much shorter forms than their corresponding permutation or matrix representation. Undertakes to develop a nested algorithm and a computer program to manipulate elements of large sporadic groups.

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Symmetric Generation Of Finite Homomorphic Images?, Lee Farber Jan 2005

Symmetric Generation Of Finite Homomorphic Images?, Lee Farber

Theses Digitization Project

The purpose of this thesis was to present the technique of double coset enumeration and apply it to construct finite homomorphic images of infinite semidirect products. Several important homomorphic images include the classical groups, the Projective Special Linear group and the Derived Chevalley group were constructed.

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Math, Music, And Membranes: A Historical Survey Of The Question "Can One Hear The Shape Of A Drum"?, Tricia Dawn Mccorkle Jan 2005

Math, Music, And Membranes: A Historical Survey Of The Question "Can One Hear The Shape Of A Drum"?, Tricia Dawn Mccorkle

Theses Digitization Project

In 1966 Mark Kac posed an interesting question regarding vibrating membranes and the sounds they make. His article entitled "Can One Hear the Shape of a Drum?", which appeared in The American Mathematical Monthly, generated much interest and scholarly debate. The evolution of Kac's intriguing question will be the subject of this project.

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Two Views Of The Projective Plane, Rebecca J. Thomas Jan 2005

Two Views Of The Projective Plane, Rebecca J. Thomas

Honors Theses

The projective plane is a mathematical object which can be defined in two ways. In the following paper, I will explain the two definitions and show how they are equivalent by establishing a homeomorphism between the two objects.

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Beamer By Example, Andrew Mertz, William Slough Jan 2005

Beamer By Example, Andrew Mertz, William Slough

Faculty Research and Creative Activity

There are a variety of LaTeX classes which can be used to produce "overhead slides" for presentations. One of these, beamer, provides flexible and powerful environments which can be used to create slides and PDF-based documents suitable for presentations. Although the class is extensively documented, first-time users may prefer learning about this class using a collection of graduated examples. The examples presented here cover a wide spectrum of use, from the simplest static slides to those with dynamic effects.

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Monotone Periodic Orbits For Torus Homeomorphisms, Kamlesh Parwani Jan 2005

Monotone Periodic Orbits For Torus Homeomorphisms, Kamlesh Parwani

Faculty Research and Creative Activity

Let f be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q), then f has a topologically monotone periodic orbit with the same rotation vector.

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Monotone Periodic Orbits For Torus Homeomorphisms, Kamlesh Parwani Jan 2005

Monotone Periodic Orbits For Torus Homeomorphisms, Kamlesh Parwani

Faculty Research and Creative Activity

Let f be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q), then f has a topologically monotone periodic orbit with the same rotation vector.

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Application Of Statistical Methods In Risk And Reliability, Astrid Heard Jan 2005

Application Of Statistical Methods In Risk And Reliability, Astrid Heard

Electronic Theses and Dissertations

The dissertation considers construction of confidence intervals for a cumulative distribution function F(z) and its inverse at some fixed points z and u on the basis of an i.i.d. sample where the sample size is relatively small. The sample is modeled as having the flexible Generalized Gamma distribution with all three parameters being unknown. This approach can be viewed as an alternative to nonparametric techniques which do not specify distribution of X and lead to less efficient procedures. The confidence intervals are constructed by objective Bayesian methods and use the Jeffreys noninformative prior. Performance of the resulting confidence intervals is …

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Utilization Of Total Mass As A Control In Diffusion Processes, Mohamed Salman Jan 2005

Utilization Of Total Mass As A Control In Diffusion Processes, Mohamed Salman

Electronic Theses and Dissertations

As motivation for the mathematical problems considered in this work, consider a chamber in the form of a long linear transparent tube. We allow for the introduction or removal of material in a gaseous state at the ends of the tube. The material diffuses throughout the tube with or without reaction with other materials. By illuminating the tube on one side with a light source with a frequency range spanning the absorption range for the material and collecting the residual light that passes through the tube with photo-reception equipment, we can obtain a measurement of the total mass of material …

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Incompressible Finite Elements Via Hybridization. Part Ii: The Stokes System In Three Space Dimensions, Bernardo Cockburn, Jay Gopalakrishnan Jan 2005

Incompressible Finite Elements Via Hybridization. Part Ii: The Stokes System In Three Space Dimensions, Bernardo Cockburn, Jay Gopalakrishnan

Mathematics and Statistics Faculty Publications and Presentations

We introduce a method that gives exactly incompressible velocity approximations to Stokes ow in three space dimensions. The method is designed by extending the ideas in Part I (http://archives.pdx.edu/ds/psu/10914) of this series, where the Stokes system in two space dimensions was considered. Thus we hybridize a vorticity-velocity formulation to obtain a new mixed method coupling approximations of tangential velocity and pressure on mesh faces. Once this relatively small tangential velocity-pressure system is solved, it is possible to recover a globally divergence-free numerical approximation of the fluid velocity, an approximation of the vorticity whose tangential component is continuous across …

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Ramanujan's Formula For The Riemann Zeta Function Extended To L-Functions, Katherine J. Merrill Jan 2005

Ramanujan's Formula For The Riemann Zeta Function Extended To L-Functions, Katherine J. Merrill

Electronic Theses and Dissertations

Ramanujan's formula for the Riemann-zeta function is one of his most celebrated. Beginning with M. Lerch in 1900, there have been many mathematicians who have worked with this formula. Many proofs of this formula have been given over the last 100 years utilizing many techniques and extending the formula. This thesis provides a proof of this formula by the Mittag-Leffler partial fraction expansion technique. In comparison to the most recent proof by utilizing contour integration, the proof in this thesis is based on a more natural growth hypothesis. In addition to a less artificial approach, the partial fraction expansion technique …

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On Generalization Of The Quasi Homogeneous Riesz Potential, Hüseyi̇n Yildirim Jan 2005

On Generalization Of The Quasi Homogeneous Riesz Potential, Hüseyi̇n Yildirim

Turkish Journal of Mathematics

In this paper, a generalization of the quasi homogeneous Riesz Potential has been defined using non-isotropic quasi-distance and its L_p (p \geq 1) continuity study.

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Phase Synchronization In Three-Dimensional Lattices And Globally Coupled Populations Of Nonidentical Rossler Oscillators, Limin Qi Jan 2005

Phase Synchronization In Three-Dimensional Lattices And Globally Coupled Populations Of Nonidentical Rossler Oscillators, Limin Qi

Electronic Theses and Dissertations

A study on phase synchronization in large populations of nonlinear dynamical systems is presented in this thesis. Using the well-known Rossler system as a prototypical model, phase synchronization in one oscillator with periodic external forcing and in two-coupled nonidentical oscillators was explored at first. The study was further extended to consider three-dimensional lattices and globally coupled populations of nonidentical oscillators, in which the mathematical formulation that represents phase synchronization in the generalized N-coupled Rossler system was derived and several computer programs that perform numerical simulations were developed. The results show the effects of coupling dimension, coupling strength, population size, and …

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Toric Residue And Combinatorial Degree, Ivan Soprunov Jan 2005

Toric Residue And Combinatorial Degree, Ivan Soprunov

Mathematics and Statistics Faculty Publications

Consider an -dimensional projective toric variety defined by a convex lattice polytope . David Cox introduced the toric residue map given by a collection of divisors on . In the case when the are -invariant divisors whose sum is , the toric residue map is the multiplication by an integer number. We show that this number is the degree of a certain map from the boundary of the polytope to the boundary of a simplex. This degree can be computed combinatorially. We also study radical monomial ideals of the homogeneous coordinate ring of . We give a necessary and sufficient …

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Cyclic Maps In Rational Homotopy Theory, Gregory Lupton, Sam Smith Jan 2005

Cyclic Maps In Rational Homotopy Theory, Gregory Lupton, Sam Smith

Mathematics and Statistics Faculty Publications

The notion of a cyclic map g:A→X is a natural generalization of a Gottlieb element in π n (X). We investigate cyclic maps from a rational homotopy theory point of view. We show a number of results for rationalized cyclic maps which generalize well-known results on the rationalized Gottlieb groups.

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Homotopy Actions, Cyclic Maps And Their Duals, Martin Arkowitz, Gregory Lupton Jan 2005

Homotopy Actions, Cyclic Maps And Their Duals, Martin Arkowitz, Gregory Lupton

Mathematics and Statistics Faculty Publications

An action of A on X is a map F: AxX to X such that F|_X = id: X to X. The restriction F|_A: A to X of an action is called a cyclic map. Special cases of these notions include group actions and the Gottlieb groups of a space, each of which has been studied extensively. We prove some general results about actions and their Eckmann-Hilton duals. For instance, we classify the actions on an H-space that are compatible with the H-structure. As a corollary, we prove that if any two actions F and F' of A on X …

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Combinatorial Construction Of Toric Residues, Amit Khetan, Ivan Soprunov Jan 2005

Combinatorial Construction Of Toric Residues, Amit Khetan, Ivan Soprunov

Mathematics and Statistics Faculty Publications

In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the associated polytopes are essential. We reduce the problem to finding a collection of partitions of the lattice points in the polytopes satisfying a certain combinatorial property. We use this description to solve the problem when n=2 and for any n when the polytopes of the divisors share a complete flag of faces. The latter generalizes earlier results when the divisors were all ample

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Free And Semi-Inert Cell Attachments, Peter Bubenik Jan 2005

Free And Semi-Inert Cell Attachments, Peter Bubenik

Mathematics and Statistics Faculty Publications

Let Y be the space obtained by attaching a finite-type wedge of cells to a simply-connected, finite-type CW-complex. We introduce the free and semi-inert conditions on the attaching map which broadly generalize the previously-studied inert condition. Under these conditions we determine H (QY; R) as an R-module and as an R-algebra, respectively. Under a further condition we show that H. (QY; R) is generated by Hurewicz images. As an example we study an infinite family of spaces constructed using only semi-inert cell attachments.

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On Torsion-Free Crawley Groups, Brendan Goldsmith, A. L. S. Corner, R. Gobel Jan 2005

On Torsion-Free Crawley Groups, Brendan Goldsmith, A. L. S. Corner, R. Gobel

Articles

The notion of a Crawley p-group is well known in Abelian group theory. In this present work, a corresponding concept is introduced for torsion-free groups. The principal result, which uses the set-theoretic notions of the diamond and Martin’s axiom, establishes an independence result for N1-free Crawley groups.

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A Short Proof Of A Characterization Of Inner Functions In Terms Of The Composition Operators They Induce, Valentin Matache Jan 2005

A Short Proof Of A Characterization Of Inner Functions In Terms Of The Composition Operators They Induce, Valentin Matache

Mathematics Faculty Publications

The paper contains a new proof for the sufficiency in Joel H. Shapiro’s recent characterization of inner functions...

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The Casimir Effect Between Non-Parallel Plates By Geometric Optics, Brendan Guilfoyle, Wilhelm Klingenberg, Siddhartha Sen Jan 2005

The Casimir Effect Between Non-Parallel Plates By Geometric Optics, Brendan Guilfoyle, Wilhelm Klingenberg, Siddhartha Sen

Preprints

The first two authors have developed a technique which uses the complex geometry of the space of oriented affine lines in ℝ3 to describe the reflection of rays off a surface. This can be viewed as a parametric approach to geometric optics which has many possible applications. Recently, Jaffe and Scardicchio have developed a geometric optics approximation to the Casimir effect and the main purpose of this paper is to show that the quantities involved can be easily computed by this complex formalism. To illustrate this, we determine explicitly and in closed form the geometric optics approximation of the Casimir …

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Fuzzy And Neutrosophic Analysis Of Periyar’S Views On Untouchability, Florentin Smarandache, Vasantha Kandasamy, K. Kandasamy Jan 2005

Fuzzy And Neutrosophic Analysis Of Periyar’S Views On Untouchability, Florentin Smarandache, Vasantha Kandasamy, K. Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

“Day in and day out we take pride in claiming that India has a 5000 year old civilization. But the way Dalits and those suppressed are being treated by the people who wield power and authority speaks volumes for the degradations of our moral structure and civilized standards.” Ex-President of India, the late K. R. Narayanan The New Indian Express, Saturday, 12 Nov. 2005 K.R.Narayanan was a lauded hero and a distinguished victim of his Dalit background. Even in an international platform when he was on an official visit to Paris, the media headlines blazed, ‘An Untouchable at Elysee’. He …

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Operator Self-Similar Processes On Banach Spaces, Mihaela Teodora Matache, Valentin Matache Jan 2005

Operator Self-Similar Processes On Banach Spaces, Mihaela Teodora Matache, Valentin Matache

Mathematics Faculty Publications

Operator self-similar (OSS) stochastic processes on arbitrary Banach spaces are considered. If the family of expectations of such a process is a spanning subset of the space, it is proved that the scaling family of operators of the process under consideration is a uniquely determinedmultiplicative group of operators. If the expectation-function of the process is continuous, it is proved that the expectations of the process have power-growth with exponent greater than or equal to 0, that is, their norm is less than a nonnegative constant times such a power-function, provided that the linear space spanned by the expectations has category …

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A Symbolic Operator Approach To Several Summation Formulas For Power Series, Tian-Xiao He, Leetsch Hsu, Peter Shiue, D. Torney Jan 2005

A Symbolic Operator Approach To Several Summation Formulas For Power Series, Tian-Xiao He, Leetsch Hsu, Peter Shiue, D. Torney

Scholarship

This paper deals with the summation problem of power series of the form Sba (f; x) = ∑a ≤ k ≤ b f(k) xk, where 0≤ a < b ≤ ∞, and {f(k)} is a given sequence of numbers with k Є [a, b) or f(t) is a differentiable function defined on [a, b). We present a symbolic summation operator with its various expansions, and construct several summation formulas with estimable remainders for Sba (f; x), by the aid of some classical interpolation series due to Newton, Gauss and Everett, respectively.

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Forward-Backward Diffusion With Continuous Spectrum, Jorge Aarao Jan 2005

Forward-Backward Diffusion With Continuous Spectrum, Jorge Aarao

Turkish Journal of Mathematics

We prove existence and uniqueness of solutions for a class of forward-backward diffusion equations via a representative example, where the second-order part has continuous spectrum, and the initial and boundary data are suitably chosen.

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On Marcinkiewicz Integrals Along Flat Surfaces, Ahmad Al-Salman Jan 2005

On Marcinkiewicz Integrals Along Flat Surfaces, Ahmad Al-Salman

Turkish Journal of Mathematics

In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces given by flat curves. Under convexity assumptions on our surfaces, we establish an L^p boundedness result of such operators. Moreover, we obtain the L^p boundedness of the corresponding Marcinkiewicz integral operators that are related to area integral and Littlewood-Paley g_{\lambda}^* functions.

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