Digital Commons Network^™

The Evolution Of Probability Functions In An Inelasticly Deforming Two-Phase Medium, Brent L. Adams, H. Garmestani, S. Lin

Faculty Publications

A formulation is introduced here for the evolution of correlation functions in an inelastically deforming two phase medium. Probability functions play a major role in describing the statistical distribution of different phases in a heterogeneous medium in the development of statistical continuum theory. Proper formulation of statistical continuum model for inelastic deformation requires better understanding of the evolution of the corresponding probability functions. A two point probability function representation is used to approximate the statistical correlation functions. The evolution of these functions requires the information from higher order probability functions, in this case, a three point probability function. A decomposition …

A Recursive Green's Function Method For Boundary Integral Analysis Of Inhomogeneous Domains, Jim D. Freeze, Michael A. Jensen

Faculty Publications

The recursive Green's function method (RGFM) for computation of fields scattered by two-dimensional (2-D) inhomogeneous dielectric bodies is presented. The algorithm efficiently constructs the Green's function for the inhomogeneous region by recursively combining known Green's functions from smaller subdomains. The fields on the scatterer surface are then computed using a boundary integral formulation. Proper implementation of the RGFM results in computational and storage complexities which scale as N1.5 and N, respectively, where N is the total number of discrete cells in a domain. Comparisons of results obtained using the RGFM with those computed from moment method and exact solutions show …

Monte Carlo Simulation Of An Ion-Dipole Mixture As A Model Of An Electrical Double Layer, Douglas Henderson, Dezso Boda, Kwong-Yu Chan

Faculty Publications

Canonical Monte Carlo simulations were performed for a nonprimitive model of an electrical double layer. The ions and the solvent molecules are modeled as charged and dipolar hard spheres, respectively, while the electrode as a hard, impenetrable wall carrying uniform surface charge. We found that the ion-dipole model gives a reasonable description of the double layer for partially charged ions with small to moderate dipole moments, or equivalently for an "effective" dielectric constant. Density, polarization and mean electrostatic potential profiles are reported. Strong layering structure, and at higher charges, charge inversion in the second layer were found. With appropriate choices …

Bibliography, Cultural Studies, And Rare Book Librarianship: Tennyson's "Crossing The Bar" And The Cultural Significance Of Unauthoritative Texts, Patrick G. Scott

Faculty Publications

For a conference discussion of textual bibliographers and rare book librarians on the topic "Who needs textual studies?," this paper examines three different appearances of Alfred Tennyson's poem "Crossing the Bar": (1) a manuscript facsimile, (ii) its reuse as a hymn and in a giftbook; and (iii) the paperback Armed Services Edition distributed to US troops overseas during World War II, and argues that with the shift from literary studies to cultural studies such later "unauthoritative texts" have a new importance for scholars and students, and deserve increased attention from bibliographers, collectors, and rare book librarians. Originally presented at the …

Annotated Bibliography Of Research In The Teaching Of English, Deborah Brown, Melissa Whiting, Richard L. Larson

Faculty Publications

Twice a year, in the May and November issues, RTE publishes a selected bibliography of recent research in the teaching of English. Most of the studies appeared during the six-month period preceding the compilation of the bibliography (January through June, 1998, for the present bibliography), but some studies that appeared earlier are occasionally included. The listing is selective; we make no attempt to include all research and research-related studies that appeared in the period under review. Comments on the bibliography and suggestions about items for inclusion may be directed to the bibliography editors. We encourage you to send your suggestions …

Successive Galerkin Approximation Algorithms For Nonlinear Optimal And Robust Control, Timothy Mclain, Randal W. Beard

Faculty Publications

Nonlinear optimal control and nonlinear H infinity control are two of the most significant paradigms in nonlinear systems theory. Unfortunately, these problems require the solution of Hamilton-Jacobi equations, which are extremely difficult to solve in practice. To make matters worse, approximation techniques for these equations are inherently prone to the so-called 'curse of dimensionality'. While there have been many attempts to approximate these equations, solutions resulting in closed-loop control with well-defined stability and robustness have remained elusive. This paper describes a recent breakthrough in approximating the Hamilton-Jacobi-Bellman and Hamilton-Jacobi-Isaacs equations. Successive approximation and Galerkin approximation methods are combined to derive …

Interior Blowup In A Convection-Diffusion Equation, Christopher P. Grant

Faculty Publications

This paper addresses the qualitative behavior of a nonlinear convection-diffusion equation on a smooth bounded domain in Rn, in which the strength of the convection grows superlinearly as the density increases. While the initial-boundary value problem is guaranteed to have a local-in-time solution for smooth initial data, it is possible for this solution to be extinguished in nite time. We demonstrate that the way this may occur is through nite-time "blow up," i.e., the unboundedness of the solution in arbitrarily small neighborhoods of one or more points in the closure of the spatial domain. In special circumstances, such as the …

A Theory Of Satisficing Decisions And Control, Richard L. Frost, Michael A. Goodrich, Wynn C. Stirling

Faculty Publications

The existence of an optimal control policy and the techniques for finding it are grounded fundamentally in a global perspective. These techniques can be of limited value when the global behavior of the system is difficult to characterize, as it may be when the system is nonlinear, when the input is constrained, or when only partial information is available regarding system dynamics or the environment. Satisficing control theory is an alternative approach that is compatible with the limited rationality associated with such systems. This theory is extended by the introduction of the notion of strong satisficing to provide a systematic …

A Continuum Analysis Of The Chemotactic Signal Seen By Dictyostelium Discoideum, J. C. Dallon, H. G. Othmer

Faculty Publications

We develop a mathematical model of cell-to-cell-signalling in Dictyostelium discoideum that predicts the cAMP signal seen by individual cells in early aggregation. The model employs two cells on a plane and is designed to predict the space-time characteristics of both the extracellular cAMP signal seen by one cell when a nearby cell relays, and the intracellular cAMP response produced by the stimulus in the receiving cell. The effect of membrane bound phosphodiesterase is studied and it is shown that cells can orient effectively even in its absence. Our results give a detailed picture of how the spatio-temporal characteristics of the …

Deriving Of Single Intensive Picosecond Optical Pulses From A High-Power Gain-Switched Laser Diode By Spectral Filtering, S. N. Vainshtein, Grigory Simin, J. T. Kostamovaara

Faculty Publications

Single 25 ps/16 W optical pulses were achieved by spectral filtering from a multiheterostructure gain-switched laser diode with its quasisteady-state modes suppressed by a factor of 10³ as compared with the peak power. A significant transient spectrum broadening makes this possible provided that a very high dI/dt rate of the pumping current pulse is used. A simple numerical model is suggested which describes adequately both the spectral and transient features of the observed phenomenon. It follows from the model that single picosecond optical pulses can be obtained from any type of high power semiconductor laser.

Philosophical Foundations And The Biblical Sanctuary, Fernando L. Canale

Faculty Publications

No abstract provided.

The Establishment Clause As A Structural Restraint On Governmental Power, Carl H. Esbeck

Faculty Publications

This Article inquires into whether the singular purpose of the Establishment Clause is to secure individual rights, as is conventionally believed, or whether its role is more properly understood as a structural restraint on governmental power. If the Clause is indeed structural in nature, then its task is to negate from the purview of civil governance all matters "respecting an establishment of religion." Conceptualizing the role of the Establishment Clause as either rights-securing or structural has profound consequences for the nation's constitutional settlement concerning the interrelationship of government and religion.

Matriarchal Mythopoesis: Naylor's Mama Day, David Cowart

Faculty Publications

No abstract provided.

Epithets As Antilogophoric Pronouns, Stanley William Dubinsky, Robert Hamilton

Faculty Publications

No abstract provided.

Court Interpreting Services In State And Federal Courts: Reasons And Options For Inter-Court Coordination, William E. Hewitt, Paula Hannaford-Agor, Catherine Gill, Melissa Cantrell

Faculty Publications

In 1978 a federal law marked the beginning of standard setting and professionalization of court interpreters through testing. In 1995, an entity now called the Consortium for State Court Interpreter Certification was created by the National Center for State Courts and four founding states (Minnesota, New Jersey, Oregon, and Washington.) The Consortium was created as a way to ameliorate shortages of resources and expertise to implement standards for interpreting proficiency at the state level, problems shared by virtually all of the states. Now, as a consequence of institutionalization, a forum has been created wherein exchange of information and expertise, and …

Isophote-Based Interpolation, Bryan S. Morse, Duane Schwartzwald

Faculty Publications

Standard methods for image interpolation are based on smoothly fitting the image intensity surface. Recent edge-directed interpolation methods add limited geometric information (edge maps) to build more accurate and visually appealing interpolations at key contours in the image. This paper presents a method for geometry-based interpolation that smoothly fits the isophote (intensity level curve) contours at all points in the image rather than just at selected contours. By using level set methods for curve evolution, no explicit extraction or representation of these contours is required (unlike earlier edge-directed methods). The method uses existing interpolation techniques as an initial approximation and …

Java Applets Enhance Learning In A Freshman Ece Course, Charles R. Graham, Timothy N. Trick

Faculty Publications

The goals of our work have been to enhance the learning environment of our students and to increase the productivity of faculty by freeing them from the drudgery of grading homework and quizzes, as well as the time required to record and compute grades. We have achieved these goals by means of the highly interactive World Wide Web (WWW)-based learning environment provided by MallardTM, 1,2 and by the development of several java applets within the Mallard environment to enhance the learning process. These Java applets are the subject of this paper. They include the ability to draw timing diagrams and …

Analysis Of The Interpolation Error Between Multiresolution Images, Bryan S. Morse

Faculty Publications

Many rendering or image-analysis systems require calculation of versions of an image at lesser resolutions than the original. Because the filtering required to perform such calculations accurately cannot typically be done in real time, many systems use interpolation between images at precalculated resolutions. This discrete sampling of the scale component of multiresolution image spaces is analogous to spatial sampling in discrete images. This paper quantifies and bounds the error that can be introduced during such interpolation as a function of the scale-space sampling rate used. A method is presented that uses the diffusion equation to relate spatial derivatives to scale …

Chromium Oxides And Lithiated Chromium Oxides. Promising Cathode Materials For Secondary Lithium Batteries, Pankaj Arora, Dong Zhang, Branko N. Popov, Ralph E. White

Faculty Publications

Chromiumoxides and lithiated chromium oxides were synthesized by thermal decompositionof chromium trioxide (CrO₃) at high temperatures and oxygen pressures.Synthesis temperature and pressure markedly affect the performance of thesecathode materials. Higher pressures lead to a higher O/Cr ratioand fewer impurities in the final product. These materials arestable intercalation hosts for lithium, and exhibit a higher capacitythan any of the prominent positive electrodes used in secondarylithium batteries. m-CrO_x has a capacity of 255 mAh/g, while m-LiCrO_xhas a capacity of 210 mAh/g, during the first discharge. Theaverage voltage of these cells is 3.0 V vs. Li/Li …

A Zero Point And Accidental Errors For Published Values Of [Fe/H] For Cool Giants, B. J. Taylor

Faculty Publications

This paper is one of a series based on published values of [Fe/H] for late-type evolved stars. Only values of [Fe/H] from high-dispersion spectroscopy or related techniques are used. The narrative in this paper begins at a point where mean values of [Fe/H] have been derived for xiVir, alphaBoo, betaGem, and the Hyades giants. By using these stars as standard stars when necessary, a zero-point data base is assembled. This data base is then expanded into its final version by correcting and adding additional data in a step-by-step process. As that process proceeds, data comparisons are used to establish rms …

An Analysis Of Temperature Dependent Photoluminescence Line Shapes In Ingan, John S. Colton, K. L. Teo, P. Y. Yu, E. R. Weber, M. F. Li, W. Lui, K. Uchida, H. Tokunaga, N. Akutsu, K. Matsumoto

Faculty Publications

Photoluminescence (PL) line shapes in InGaN multiple quantum well structures have been studied experimentally and theoretically between 10 and 300 K. The higher temperature PL spectra can be fitted qualitatively with a thermalized carrier distribution and a broadened joint-density-of-states. The low temperature PL line shapes suggest that carriers are not thermalized, as a result of localization by band-gap fluctuations. We deduce a localization energy of ~7 meV as compared with an activation energy of ~63 meV from thermal quenching of the PL intensity. We thus conclude that this activation energy and the band-gap fluctuation most likely have different origins.

Catalogs Of Temperatures And [Fe/H] Averages For Evolved G And K Stars, B. J. Taylor

Faculty Publications

A catalog of mean values of [Fe/H] for evolved G and K stars is described. The zero point for the catalog entries has been established by using differential analyses. Literature sources for those entries are included in the catalog. The mean values are given with rms errors and numbers of degrees of freedom, and a simple example of the use of these statistical data is given. For a number of the stars with entries in the catalog, temperatures have been determined. A separate catalog containing those data is briefly described.

Educating Nomads: Narratives And The Future Of Civic Education, Melvin J. Dubnick

Faculty Publications

The concern for civic education has re-entered the mainstream agenda of American political science. The primary task is to consider what should be done to “reach” the next generation of students. Most efforts in this regard have operated under the assumption that students of the future will be like students of the past. Based on this view, the problem is most often regarded as a matter of selecting an effective way to disseminate relevant knowledge. In this paper I argue for operating on a different set of assumptions, i.e. that we need to take seriously the emergence of the new …

The Sharp Sobolev Inequality And The Banchoff-Pohl Inequality On Surfaces, Ralph Howard

Faculty Publications

No abstract provided.

Christian Plain Style: The Evolution Of A Spiritual Ideal, Jameela A. Lares

Faculty Publications

No abstract provided.

Academic Comparison Of Athletes And Non-Athletes In A Rural High School, Holt E Zaugg

Faculty Publications

This study compares academic performance, behavior, and commitment of basketball and volleyball athletes and non-athletes in a rural Canadian high school. It compares mid-term and final grades in each school discipline; visits to an administrator for disciplinary visits; and demerit points for improper behavior; and estimates the mean weekly time commitment for athletes in each sport.

Pareto Optimality And The Rule Of Law, Noel B. Reynolds

Faculty Publications

In 1959, James M. Buchanan criticized the collectivist misuse of Pareto optimality by the "new welfare economists" and made a first attempt to extend that individualist concept into the political realm. Over the following three decades he further developed his political application of Pareto’s insight to buttress an essentially economic analysis of political exchange that would justify the processes of constitutional democracy in the same way Pareto efficiency justifies free markets. In this paper I will explain why Buchanan’s particular formulations will not work and propose a more comprehensive solution that accomplishes Buchanan’s announced purpose. I will argue that a …

Correlation Function Formulation For The State Selected Total Reaction Probability, Sophya Garashchuk, David J. Tannor

Faculty Publications

Investigates the correlation function formulation for the state selected total reaction probability. Discussion of the wave packet propagation; Derivation of the correlation function expression for the N[sub alpha](E); Application of quantum-mechanical and Herman-Kluk propagation methods.

The Coming Forth Of The Book Of Mormon In The Twentieth Century, Noel B. Reynolds

Faculty Publications

I hope this study, however preliminary it might appear, will provide a sound first step toward developing our self-understanding as Latter-day Saints of the history of Book of Mormon use in the twentieth century and the phenomenal increase in understanding, appreciation, and study that has taken place over the last three to four decades. This study may also offer one useful perspective for the gradually emerging history of cultural Mormonism and its antipathy to the Book of Mormon. This study is grounded in the analysis of a number of possible indicators of intensity of interest in the Book of Mormon …

What Is School For? Dilemmas Of Secondary Education In Bush Alaska, Lawrence C. Hamilton

Faculty Publications

The remote towns and villages of bush Alaska confront dilemmas in the design of secondary education. Systems based on a single statewide boarding school, or alternatively on small schools in each individual community, have both been tried. Debates about these two approaches reflect a more basic question: What is the purpose of secondary education? Should it (A) prepare students to become functional members of their home communities, or (B) prepare them to compete for education and jobs elsewhere? This question has implications for all aspects of educational design, and indeed for the future of rural villages themselves.

A paper presented …