Physical Sciences and Mathematics Commons^™

Connections On Small Vertex Model., R. Srinivasan Dr.

Doctoral Theses

This thesis is devoted to the classification of a special class of commuting squares called vertex models.The first chapter is indroductory in nature and is included for the sake of completeness and convenience of reference. It starts with the description of the basic construction and the invariants called the principal and dual graph for an inclusion of II1, factors. After defining a commuting square we describe the special class of commuting squares called vertex model given by an Mn, O Mk, biunitary matrix . Finally we state some results, without proof, about vertex nodels from (KSC).The second chapter in the …

Robustness & Precision Of Parametric & Distribution-Free Tolerance Limits For Two Lifetime Distributions, Wei Kei Shiue, Lee J. Bain

Mathematics and Statistics Faculty Research & Creative Works

Exact parametric tolerance limits or confidence limits on reliability are not available for the gamma distribution, and it is, difficult to determine approximate methods which are accurate for all parameter values. The precision lost by using the distribution-free tolerance-limit method based on the first order statistic, compared to using an approximate gamma tolerance limit method is studied. The robustness of the approximate gamma tolerance limit when the true model is Weibull and the robustness of a Weibull tolerance limit when the true model is gamma are also studied. The efficiency of the distribution-free method ranges from about 0.60 to 0.90 …

Sharp Lower Bounds For A Generalized Jensen Inequality, A. K. Rigler, S. Y. Trimble, R. S. Varga

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Periodic Points For Homeomorphisms Of Hereditarily Decomposable Chainable Continua, W. T. Ingram

Mathematics and Statistics Faculty Research & Creative Works

In this paper it is shown that homeomorphisms of hereditarily decomposable chainable continua cannot have periodic points whose periods are not powers of two. Examples show that for each power of two there is a hereditarily decomposable chainable continuum and a homeomorphism of it which has a periodic point of period that power of two. © 1989 American Mathematical Society.

Alexander's Subbase Lemma, Todor D. Todorov, S. Salbany

Mathematics

No abstract provided.

A Structural Factoring Approach For Analyzing Probabilistic Networks, Kelly J. Hayhurst

Dissertations, Theses, and Masters Projects

No abstract provided.

The Semigroup Of One-To-One Transformations With Finite Defects., Inessa Levi

Faculty Bibliography

No abstract provided.

Changing Modes Of Thought: Non-Euclidean Geometry And The Liberal Arts, Thomas Q. Sibley

Mathematics Faculty Publications

No abstract provided.

Numerical Solution Of The Eigenvalue Problem For Hermitian Toeplitz Matrices, William Trench

William F. Trench

No abstract provided.

Pre-1990 Articles, Stan Wagon

Stan Wagon, Retired

No abstract provided.

On The Existence And Symmetry Properties Of Finite Total Mass Solutions Of The Matukuma Equation, The Eddington Equation And Their Generalizations, Yi Li, Wei-Ming Ni

Yi Li

No abstract provided.

Pixley-Roy Hyperspaces Of Ω-Graphs, Joe Mashburn

Mathematics Faculty Publications

The techniques developed by Wage and Norden are used to show that the Pixley-Roy hyperspaces of any two ω-graphs are homeomorphic. The Pixley-Roy hyperspaces of several subsets of Rⁿ are also shown to be homeomorphic.

On The Existence And Symmetry Properties Of Finite Total Mass Solutions Of The Matukuma Equation, The Eddington Equation And Their Generalizations, Yi Li, Wei-Ming Ni

Mathematics and Statistics Faculty Publications

No abstract provided.

Applied Chaotic Dynamics: An Introduction, James Frankenfield

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

These lecture notes served as the basis for a two credit graduate level seminar offered through the USU physics department during the fall quarter of 1989. It was oriented towards graduate students in physics and engineering and assumed no mathematical background beyond introductory differential equations. All problems were attempted by the students and discussed as a group. The seminar appears to have been successful in that the students enjoyed it and learned a lot.

On A Multi-Channel Queue With State Dependent Input Flow And Interruptions, Jewgeni H. Dshalalow

Mathematics and System Engineering Faculty Publications

This paper deals with a multi-channel queueing system with a finite waiting room but without losses. The latter is achieved by a temporary interruption of the input flow activity until the waiting room is ready to place a new customer. In addition, the input flow on its busy period is non-recurrent: It is state dependent and may be controlled over relevant times of decision making. A similar model without interruptions (i.e. with losses) was earlier studied by the author, where in particular, major probability characteristics of the queueing process in equilibrium were obtained. Now the author derives a simple explicit …

Optimal Intervals For Third Order Lipschitz Equations, Paul W. Eloe, Johnny Henderson

Mathematics Faculty Publications

For the third order differential equation (see PDF), subintervals of (a,b) of maximal length are characterized, in terms of the Lipschitz coefficients (see PDF) on which certain boundary value problems possess unique solutions. The techniques for determining best interval length involve applications of the Pontryagin Maximum Principle along with uniqueness implies existence arguments.

A Nonlinear Eigenvalue Problem In Astrophysical Magnetohydrodynamics: Some Properties Of The Spectrum, John A. Adam

Mathematics & Statistics Faculty Publications

The equations of ideal magnetohydrodynamics (MHD) with an external gravitational potential—a ‘‘magnetoatmosphere’’—are examined in detail as a singular nonlinear eigenvalue problem. Properties of the spectrum are discussed with specific emphasis on two systems relevant to solar magnetohydrodynamics. In the absence of a gravitational potential, the system reduces to that of importance in MHD and plasma physics, albeit in a different geometry. This further reduces to a form isomorphic to that derived in the study of plasma oscillations in a cold plasma, Alfvén wave propagation in an inhomogeneous medium, and MHD waves in a sheet pinch. In cylindrical geometry, the relevant …

Turnpike Structures For Optimal Maneuvers, Arthur T. Benjamin

All HMC Faculty Publications and Research

This dissertation is concerned with problems of optimally maneuvering a collection of objects ("pieces") from one location to another, subject to various restrictions on the allowable movements. We illustrate and prove that when the "distance" from the origin to the destination is large, and the movement rules and environment satisfy certain "homogeneity" properties, there exist near-optimal trajectories with very special (turnpike) structure.

These results are obtained by representing the problem through a configuration graph. Here, we have a node for each configuration and an arc for every "different" legal move. Each arc is endowed with a scalar weight …

Random Sequential Absorption On Graphs, Nicholas Pippenger

All HMC Faculty Publications and Research

This paper analyzes a process whereby the vertices of a graph are considered in a random sequence,and each considered vertex is “occupied” unless it or an adjacent vertex has previously been occupied. The process continues until no more vertices can be occupied, at which point the “jamming limit” has been reached. The case in which the graph is regular (so that every vertex has degree $d\geqq 2$ and has “few short cycles” is treated. In particular, the results apply to infinite regular trees, to finite graphs obtained from them by forming quotient graphs, and to random regular graphs.

It is …

Nonnegative Solutions To A Semilinear Dirichlet Problem In A Ball Are Positive And Radially Symmetric, Alfonso Castro, Ratnasingham Shivaji

All HMC Faculty Publications and Research

We prove that nonnegative solutions to a semilinear Dirichlet problem in a ball are positive, and hence radially symmetric. In particular, this answers a question in [3] where positive solutions were proven to be radially symmetric. In section 4 we provide a sufficient condition on the geometry of the domain which ensures that nonnegative solutions are positive in the interior.

Asymptotic Analysis Of Model Problems For A Coupled System, F. A. Howes, S. Shao

Mathematics and Statistics Faculty Publications

No abstract provided.

A Less-Polluted Future For Boston Harbor?: Assessing Selected Impacts Of A Citizen Information Program, Enid Carol Kumin

Marine Affairs Theses and Major Papers

The demand for good public information is a need which many environmental groups are now attempting to fill. Programs are generally designed around a particular environmental issue. One such effort is the Boston Harbor "Sewer Tour" Program run by 'Save the Harbor/Save the Bay' in Boston, Massachusetts. The Sewer Tour Program addresses matters of water pollution control in the Metropolitan Boston area. The present study examines the impact of the Sewer Tour Program on participants and spillover effects on their communities. A mailed survey is used to collect the data. A framework for data analysis is drawn from psychological research …

A Theory Of Testability With Application To Fault Coverage Analysis, Sharad Seth, Vishwani Agrawal, Hassan Farhat

Mathematics Faculty Publications

When test vectors are applied to a circuit, the fault coverage increases. The rate of increase, however, could be circuit-dependent. In fact, the actual rise of fault coverage depends on the characteristics of vectors, as well as, on the circuit. The paper shows that the average fault coverage can be computed from circuit testability. A relationship between fault coverage and circuit testability is derived. The mathematical formulation allows computation of coverage for deterministic and random vectors. Applications of this analysis include: determination of circuit testability from fault simulation, coverage prediction from testability analysis, prediction of test length, and test generation …

Quantitative, Quasimolecular Modelling Of The Fall Of A Drop Into A Basin Of Water, Donald Greenspan, Mohsen Mahmoudi

Mathematics Technical Papers

The fall of a drop into a basin of water is simulated by a molecular aggregate approach. The dynamical equations are large systems of nonlinear, ordinary differential equations which are derived using conservation of mass and total energy. These equations have to be solved numerically. Supercomputer examples of backdrop and wave simulations are described and discussed.

Supercomputer Simulation Of Colliding Microdrops Of Water, Donald Greenspan

Mathematics Technical Papers

Microdrop collisions are important in fast kinetic, microwave, nucleation, and rainstorm studies. In this Paper a molecular model of colliding microdrops of water is simulated on a CRAY X-MP/24. A least squares fit of the force field allows relatively large time steps in the numerical procedure. Rotating "raindrop" modes, "dumbell" modes, and oscillatory oblateness modes are demonstrated, as are nonadhesive soft and hard collisions.

Identifying Outliers In A Random Effects Model For Longitudinal Data, Tamarah Crouse Dishman

UNF Graduate Theses and Dissertations

Identifying non-tracking individuals in a population of longitudinal data has many applications as well as complications. The analysis of longitudinal data is a special study in itself. There are several accepted methods, of those we chose a two-stage random effects model coupled with the Estimation Maximization Algorithm (E-M Algorithm) . Our project consisted of first estimating population parameters using the previously mentioned methods. The Mahalanobis distance was then used to sequentially identify and eliminate non-trackers from the population. Computer simulations were run in order to measure the algorithm's effectiveness.

Our results show that the average specificity for the repetitions for …

Impedance Controlled Connector Interface, Stephen L. Clark

Mathematics and Statistics Faculty Research & Creative Works

A connector interface for electrically mating a multi-row connector with a printed circuit board is defined by a flex circuit in the form of laminated polyimide layers having conductive traces for each interconnect pair with connection fields at the opposite ends of the traces for electrical connection to the terminal pins on the connector and the conductive pads or pins on the circuit board. The conductive traces are all of equal length to provide equal resistance and impedance paths for each of the circuit interconnects.

On Vector Sequence Transforms And Acceleration Techniques, Steven L. Hodge

Mathematics & Statistics Theses & Dissertations

This dissertation is devoted to the acceleration of convergence of vector sequences. This means to produce a replacement sequence from the original sequence with higher rate of convergence.

It is assumed that the sequence is generated from a linear matrix iteration x_i+ i = Gx_i + k where G is an n x n square matrix and x_I+1 , x_i,and k are n x 1 vectors. Acceleration of convergence is obtained when we are able to resolve approximations to low dimension invariant subspaces of G which contain large components of the error. When …

Dupin Submanifolds In Lie Sphere Geometry, Thomas E. Cecil, Shiing-Shen Chern

Mathematics and Computer Science Department Faculty Scholarship

No abstract provided.

Partially Confluent Maps And N-Ods, Van C. Nall

Department of Math & Statistics Faculty Publications

Let f : X-->Y be a map between topological spaces. A Wf-set in Y is a continuum in Y which is the image under f of a continuum in X. The map f is partially confluent if each continuum in Y is the union of a finite number of Wf-sets, and n-partially confluent if each continuum in Y is the union of n Wf-sets. In this paper, it is shown that every partially confluent map onto an n-cell is weakly confluent. Also, the relationship between partially confluent maps and continua which …