Physical Sciences and Mathematics Commons^™

Student Fact Book, Fall 1996, Wright State University, Office Of Student Information Systems, Wright State University

Wright State University Student Fact Books

The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1996.

Existence And Bifurcation Of The Positive Solutions For A Semilinear Equation With Critical Exponent, Yinbin Deng, Yi Li

Mathematics and Statistics Faculty Publications

In this paper, we consider the semilinear elliptic equation[formula]Forp=2N/(N−2), we show that there exists a positive constantμ*>0 such that (∗)_μpossesses at least one solution ifμ∈(0, μ*) and no solutions ifμ>μ*. Furthermore, (∗)_μpossesses a unique solution whenμ=μ*, and at least two solutions whenμ∈(0, μ*) and 2<NN⩾6, under some monotonicity conditions onf((1.6)) we show that there exist two constants 0<μ_**⩽μ**<μ* such that problem (∗)_{μ …}

Some Applications Of Sophisticated Mathematics To Randomized Computing, Ronald I. Greenberg

Computer Science: Faculty Publications and Other Works

No abstract provided.

Self-Consistency: A Fundamental Concept In Statistics, Thaddeus Tarpey, Bernard Flury

Mathematics and Statistics Faculty Publications

The term ''self-consistency'' was introduced in 1989 by Hastie and Stuetzle to describe the property that each point on a smooth curve or surface is the mean of all points that project orthogonally onto it. We generalize this concept to self-consistent random vectors: a random vector Y is self-consistent for X if E[X|Y] = Y almost surely. This allows us to construct a unified theoretical basis for principal components, principal curves and surfaces, principal points, principal variables, principal modes of variation and other statistical methods. We provide some general results on self-consistent random variables, give …

Methodological And Substantive Issues In Substance Abuse Prevention Research, C. Anderson Johnson, John W. Farquhar, Steve Sussman

CGU Faculty Publications and Research

This article summarizes current issues in drug abuse prevention research through integration of other articles in this journal and by heeding historical trends in prevention science. Recommendations are made for future research directions. For prevention to advance, iterative processes are needed involving both quasi-experimental and experimental designs and involving both small, simple units and large, complex, interactive units. Accuracy of measurement and replication are of paramount importance.

Jury Responsibility In Capital Sentencing: An Empirical Study, Theodore Eisenberg, Stephen P. Garvey, Martin T. Wells

Cornell Law Faculty Publications

The law allows executioners to deny responsibility for what they have done by making it possible for them to believe they have not done it. The law treats members of capital sentencing juries quite differently. It seeks to ensure that they feel responsible for sentencing a defendant to death. This differential treatment rests on a presumed link between a capital sentencer's willingness to accept responsibility for the sentence she imposes and the accuracy and reliability of that sentence. Using interviews of 153 jurors who sat in South Carolina capital cases, this article examines empirically whether capital sentencing jurors assume responsibility …

Litigation Outcomes In State And Federal Courts: A Statistical Portrait, Theodore Eisenberg, John Goerdt, Brian Ostrom, David Rottman

Cornell Law Faculty Publications

"U.S. Juries Grow Tougher on Plaintiffs in Lawsuits," the New York Times page-one headline reads. The story details how, in 1992, plaintiffs won 52 percent of the personal injury cases decided by jury verdicts, a decline from the 63 percent plaintiff success rate in 1989. The sound-byte explanations follow, including the notion that juries have learned that they, as part of the general population, ultimately pay the costs of high verdicts. Similar stories, reporting both increases and decreases in jury award levels, regularly make headlines. Jury Verdict Research, Inc. (JVR), a commercial service that sells case outcome information, often is …

Stability Analysis Of A Model For The Defect Structure Of Yba2cu3ox, Gregory Kozlowski, Tom Svobodny

Physics Faculty Publications

Unusual microstructures of YBa₂Cu₃O_x (123) crystals have been observed. These structures have been shown to pass very high transport currents. A model of the solidification of 123 from a melt with Y₂BaCuO₅ (211) inclusions indicates that the stability of the 123 interface can depend on the sizes of the 211 inclusions. The observed formations are interpreted in the light of this instability.

Xenophilia In American Courts, Kevin M. Clermont, Theodore Eisenberg

Cornell Law Faculty Publications

Foreigner! The word says it all. Verging on the politically incorrect, the expression is full of connotation and implication. A foreigner will face bias. By such a thought process, many people believe that litigants have much to fear in courts foreign to them. In particular, non-Americans fare badly in American courts. Foreigners believe this. Even Americans believe this.

Such views about American courts are understandable. After all, the grant of alienage jurisdiction to the federal courts, both original and removal, constitutes an official assumption that xenophobic bias is present in state courts. As James Madison said of state courts: “We …

Courts In Cyberspace, Theodore Eisenberg, Kevin M. Clermont

Cornell Law Faculty Publications

No abstract provided.

Inverse Limits On [0,1] Using Logistic Bonding Maps, Marcy Barge, William Thomas Ingram

Mathematics and Statistics Faculty Research & Creative Works

In this paper we investigate inverse limits on [0,1] using a single bonding map chosen from the logistic family, fλ (x) = 4λx(1-x) for 0 ≤ λ ≤ 1. Many interesting continua occur as such inverse limits from arcs to indecomposable continua. Among other things we observe that up through the Feigenbaum limit the inverse limit is a point or is hereditarily decomposable and otherwise the inverse limit contains an indecomposable continuum. © 1996 Elsevier Science B.V. All rights reserved.

Applications Of The Upside-Down Normal Loss Function, David Drain, A. M. Gough

Mathematics and Statistics Faculty Research & Creative Works

The upside-down normal loss function (UDNLF) is a weighted loss function that has accurately modeled losses in a product engineering context. The function''s scale parameter can be adjusted to account for the actual percentage of material failing to work at specification limits. Use of the function along with process history allows the prediction of expected loss-the average loss one would expect over a long period of stable process operation. Theory has been developed for the multivariate loss function (MUDNLF), which can be applied to optimize a process with many parameters-a situation in which engineering intuition is often ineffective. Computational formulae …

Asymptotic Analysis Of Oseen Equations For Small Viscosity, R. Temam, X. Wang

Mathematics and Statistics Faculty Research & Creative Works

In this article, we derive explicit asymptotic formulas for the solutions of Oseen's equations in space dimension two in a channel at large Reynolds number (small viscosity ε). These formulas exhibit typical boundary layers behaviors. Suitable correctors are defined to resolve the boundary obstacle and obtain convergence results valid up to the boundary. We study also the behavior of the boundary layer when simultaneously time and the Reynolds number tend to infinity in which case the boundary layer tends to pervade the whole domain.

On An Investment-Consumption Model With Transaction Costs, Marianne Akian, José Luis Menaldi, Agnès Sulem

Mathematics Faculty Research Publications

This paper considers the optimal consumption and investment policy for an investor who has available one bank account paying a fixed interest rate and n risky assets whose prices are log-normal diffusions. We suppose that transactions between the assets incur a cost proportional to the size of the transaction. The problem is to maximize the total utility of consumption. Dynamic programming leads to a variational inequality for the value function. Existence and uniqueness of a viscosity solution are proved. The variational inequality is solved by using a numerical algorithm based on policies, iterations, and multigrid methods. Numerical results are displayed …

Detecting Trends And Patterns In Reliability Data Over Time Using Exponentially Weighted Moving-Averages, Harry F. Martz, Paul H. Kvam

Department of Math & Statistics Faculty Publications

A simple, easy-to-use graphical method is presented for use in determining if there is any statistically significant trend or pattern over time in an underlying Poisson event rate of occurrence or binomial failure on demand probability. The method is based on the combined use of both an exponentially weighted moving-average (EWMA) and a Shewhart chart. Two nuclear power plant examples are introduced and used to illustrate the method. The false alarm probability and power when using the combined procedure are also determined for both cases using Monte Carlo simulation. The results indicate that the combined procedure is quite effective in …

Exact Multiplicity Results For Boundary Value Problems With Nonlinearities Generalizing Cubic, Philip Korman, Yi Li, Tiancheng Ouyang

Mathematics and Statistics Faculty Publications

No abstract provided.

A Center-Unstable Manifold Theorem For Parametrically Excited Surface Waves, Larry Turyn

Mathematics and Statistics Faculty Publications

When fluid in a rectangular tank sits upon a platform which is oscillating with sufficient amplitude, surface waves appear in the ''Faraday resonance.'' Scientists and engineers have done bifurcation analyses which assume that there is a center manifold theory using a finite number of excited spatial modes. We establish such a center manifold theorem for Xiao-Biao Lin's model in which potential flow is assumed but an artificial dissipation term is included in the system of partial differential equations on the free surface. We use interpolation spaces developed by da Prate and Grisvard, establish maximal regularity for a family of evolution …

A New Archaeoastronomical Investigation Of The Irish Axial-Stone Circles, Frank T. Prendergast, Clive L. Ruggles

Conference Papers

This paper presents the preliminary results of a project undertaken in 1994 to investigate the astronomical potential of the axial-stone circles (ASCs) of seven or more stones in Counties Cork and Kerry, south-west Ireland. This group of sites is of particular interest in that the monuments in the group bear a striking resemblance to the recumbent stone circles (RSCs) of Aberdeenshire, eastern Scotland, which appear to exhibit a strong pattern of alignment in relation to prominent hilltop summits and the rising and setting position of the moon. The first indications from the Irish data are that similar patterns of alignment …

"Duel" Diligence: Second Thoughts About The Supremes As The Sultans Of Swing, Paul H. Edelman, Jim Chen

Vanderbilt Law School Faculty Publications

We respond to Professor Lynn A. Baker's criticisms of our article, The Most Dangerous Justice: The Supreme Court at the Bar of Mathematics. Professor Baker fundamentally misunderstands our measure of Supreme Court voting power. Moreover, she erroneously presumes that the "median Justice" wields the bulk of the Court's power. Even if there were a median Justice, it is far from clear whether he would be the Most Dangerous Justice. We conclude with a clarification of the median voter theorem and its implications for the distribution of voting power within the Supreme Court.

Control Uniqueness In Reconstructability Analysis, Martin Zwick

Systems Science Faculty Publications and Presentations

When the reconstructability analysis of a directed system yields a structure in which a generated variable appears in more than one subsystem, information from all of the subsystems can be used in modeling the relationship between generating and generated variables. The conceptualization and procedure proposed here is discussed in relation to Klir's concept of control uniqueness.

Ua56/1 Fact Book, Wku Institutional Research

WKU Archives Records

Statistical and demographic profile of WKU.