Digital Commons Network^™

Flow Patterns In A Two-Roll Mill, Christopher Hills

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The two-dimensional flow of a Newtonian fluid in a rectangular box that contains two disjoint, independently-rotating, circular boundaries is studied. The flow field for this two-roll mill is determined numerically using a finite-difference scheme over a Cartesian grid with variable horizontal and vertical spacing to accommodate satisfactorily the circular boundaries. To make the streamfunction numerically determinate we insist that the pressure field is everywhere single-valued. The physical character, streamline topology and transitions of the flow are discussed for a range of geometries, rotation rates and Reynolds numbers in the underlying seven-parameter space. An account of a preliminary experimental study of …

Some Irrational Generalised Moonshine From Orbifolds, Rossen Ivanov, Michael Tuite

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We verify the Generalised Moonshine conjectures for some irrational modular functions for theMonster centralisers related to the Harada-Norton, Held, M12 and L3(3) simple groups based on certain orbifolding constraints. We find explicitly the fixing groups of the hauptmoduls arising in each case.

Bouncing Branes, Emil Prodanov

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Two classical scalar fields are minimally coupled to gravity in the Kachru-Shulz-Silverstein scenario with a rolling fifth radius. A Tolman wormhole solution is found for a R x S^3 brane with Lorentz metric and for a R x AdS_3 brane with positive definite metric.

Popular Sovereignty And The Electoral College, John O. Mcginnis

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No abstract provided.

Who Cares?, Adam C. Pritchard

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Jim Cox and Randall Thomas have identified an interesting phenomenon in their contribution to this symposium: institutional investors seem to be systematically "leaving money on the table" in securities fraud class actions. For someone who approaches legal questions from an economic perspective, the initial response to this claim is disbelief. As the joke goes, economists do not bend over to pick up twenty-dollar bills on the street. The economist knows that the twenty dollars must be an illusion. In a world of rational actors, someone else already would have picked up that twenty-dollar bill, so the effort spent bending over …

Data-Efficient Methods Applied To General Spectral Image Capture, Mitchell Rosen, Francisco Imai, Mark Fairchild

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Commercialization of spectral imaging for color reproduction will require low bandwidth but highly accurate spectral image acquisition systems. Self-adapting systems are proposed as potential solutions. Such systems perform spectral content analysis on an encountered scene, reacting to the analysis by configuring efficient high quality spectral reconstruction. An experiment is reported comparing scene-derived spectral estimation transforms to static global transforms in multi-channel imaging simulations. For noisefree simulations, the adaptive approach showed clear benefit in terms of colorimetric and spectral statistics. When noise was added, the adaptive method continued to be superior in terms of spectral evaluations, but colorimetric degradation for the …

A Theoretical Analysis Of Habitat Conversion And Biodiversity Conservation Over Time And Under Uncertainty, Amitrajeet A. Batabyal

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We exploit the known links between natural habitats and biodiversity to pose and study the biodiversity conservation question as an optimal stopping problem. We extend the extant literature on this question by studying the role that autonomous and nonautonomous policies play in the decision to conserve biodiversity over time and uncertainty. We first construct a dynamic and stochastic model of decision making in the context of biodiversity conservation. Next, we use this model to analyze the expected utility of a social planner when this planner uses, respectively, autonomous and nonautonomous policies. Finally, we compare and contrast the properties of autonomous …

Probability And Statistics In The Legal Curriculum: A Case Study In Disciplinary Aspects Of Interdisciplinarity, Michael Townsend

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This Article considers interdisciplinarity and the legal curriculum in the context of probability and statistics. Section D of Part II begins the discussion by sketching some multidisciplinary, pluridisciplinary, interdisciplinary, and transdisciplinary approaches. Part III is the workhorse of this Article. The particular example used here is the well-known jury discrimination case of Castaneda v. Partida as described in Section A. This "case study" provides the basis for a crossdisciplinary experience that offers students an opportunity to think about law as a discipline. It is difficult for students to step back and look at law as a discipline when there is …

Emerging Issues In Electronic Contracting, Technical Standards And Law Reform, Jane K. Winn

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The explosive growth of electronic commerce transactions in recent years has added fuel to efforts to harmonize international commercial law. Organizations such as the International Institute for the Unification of Private Law (UNIDROIT), the United Nations Commission on International Trade Law (UNCITRAL) and the Hague Conference on Private International Law are all participating in an emerging global debate concerning the changes that should be made to the form or substance of international commercial law to accommodate innovation in the technology of international trade.

Many of the important legal issues raised by cross-border electronic commerce in the 1970s and 1980s have …

Calculation For The Parameter "Deflection" In A New Theory Of The Earth's Magnetic Field, Annraoi De Paor, Ted Burke

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In a recent paper on the theory of the Earth’s magnetic field and key features of Sunspot activity (de Paor, 2001), a central role in the calculation of secular variations of the geomagnetic field was played by a newly-introduced parameter called the deflection (abbreviated def ). In this note, the significance of def is elucidated and the method used to calculate it is explained

The Economic Analysis Of Evidence Law: Common Sense On Stilts, Richard O. Lempert

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There was a time when the empire of Law was not overrun by economists. The economists had their own fiefdoms to be sure-there was the Duchy of Antitrust and the Kingdom of Regulatory Law-but the economists lived in peace within these borders, welcoming many unlike themselves into their midst, only gently proselytizing their students in the first few classes of a term, and swearing fealty to the law. It is true that a few marauders from beyond the borders saw the wealth of the empire and sought to colonize it, but even the most daring, Archbishop Coase and Duke Gary …

Spectral Asymptotics Of The Dirichlet-To-Neumann Map On Multiply Connected Domains In R^D, Peter D. Hislop, Carl V. Lutzer

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We study the spectral asymptotics of the Dirichlet-to-Neumann operator Λγ on a multiply-connected, bounded, domain in R^d, d≥3, associated with the uniformly elliptic operator Lγ = − ∑di,j=1 ∂i γij∂j, where γ is a smooth, positive-definite, symmetric matrix-valued function on Ω. We prove that the operator is approximately diagonal in the sense that Λγ = Dγ + Rγ, where Dγ is a direct sum of operators, each of which acts on one boundary component only, and Rγ is a smoothing operator. This representation follows from the fact that the γ-harmonic extensions of eigenfunctions of Λγ vanish rapidly away from the …

On The Choice Between The Stocking Rate And Time In Range Management, Amitrajeet A. Batabyal, Basudeb Biswas, E. Bruce Godfrey

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A long standing question in range management concerns the relative importance of the stocking rate versus the length of time during which animals graze a particular rangeland. We address this question by analyzing the problem faced by a private rancher who wishes to minimize the long run expected net unit cost (LRENC) from range operations by choosing either the stock rate or the length of time during which his animals graze his rangeland. We construct a renewal-theoretic model and show that, in general, this rancher's LRENC with an optimally chosen stocking rate is lower than his LRENC with an optimally …

A C~Diffeomorphism Of R^2 That Has A Cantor Set That Is A Minimal Set, William Basener, Carl Lutzer

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We present a C~ diffeomorphism of R^2 that has a Cantor Set that is a minimal Set. The Cantor Set is contained inside an annulus (Refer to PDF file for exact formulas).

College Students’ Perceptions Of The C-Print Speech-To-Text Transcription System, Lisa B. Elliot, Michael Stinson, Barbara G. Mckee, Victoria S. Everhart, Pamela J. Francis

Articles

C-Print is a real-time speech-to-text transcription system used as a support service with deaf students in mainstreamed classes. Questionnaires were administered to 36 college students in 32 courses in which the C-Print system was used in addition to interpreting and notetaking. Twenty-two of these students were also interviewed. Questionnaire items included student ratings of lecture comprehension. Student ratings indicated good comprehension with C-Print, and the mean rating was significantly higher than that for understanding of the interpreter. Students also rated the hard-copy printout provided by C-Print as helpful, and they reported that they used these notes more frequently than the …

Applications For An Improvised Digital Streak Camera, Andrew Davidhazy

Articles

A close relative of the strip camera, details about which are available in several articles listed below, the streak camera is not very well known but it can be a valuable tool for research and development. Streak cameras display time as an obvious dimension of the images they generate.

Law, Economics, And The Skeleton Of Value Fallacy, Kyron Huigens

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Experiments in the last decade or so have demonstrated persistent failures on the part of ordinary individuals rationally to pursue self-interest. The experiments pose serious challenges to economics, rational choice theory, and the law and economics school. Some experiments, for example, suggest an "endowment effect", that contradicts the Coase Theorem; the notion that, in the absence of transaction costs, goods will find their most efficient distribution regardless of their initial assignment. Cass Sunstein has collected a set of essays by economists and legal scholars exploring these challenges, in a volume entitled Behavioral Law and Economics.

On The Difference Equation Xn+1=(Alpha)+(Beta)Xn-1e^(-Xn), H. El-Metwally, Edward Grove, Gerry Ladas

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We study the global stability, the boundedness nature, and the periodic character of the positive solutions of the difference equation x(n+1)=(alpha)+(beta)x(n-1)e^(-xn), n=0,1,... which is interesting in its own right, but which may also be viewed as describing a population model (Refer to PDF file for exact formulas).

Conjunction And Aggregation, Saul Levmore

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No abstract provided.

Intellectual Property: Old Boundaries And New Frontiers, Richard A. Epstein

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No abstract provided.

Signaling Discount Rates: Law, Norms, And Economic Methodology (Reviewing Eric A. Posner, Law And Social Norms (2000)), Richard H. Mcadams

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No abstract provided.

Naturalized Epistemology And The Law Of Evidence, Brian Leiter, Ronald J. Allen

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No abstract provided.

Anchoring Justice: The Constitutionality Of The Local Law Enforcement Act In United States V. Morrison'S Shifting Seas, Anthony E. Varona, Kevin Layton

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No abstract provided.

Subrogation And Insolvency, Alan O. Sykes

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When tort judgments exceed the assets of tortfeasors and the tort victim has first-party insurance for a portion of the loss suffered, the question arises as to how the recovery from the tortfeasor should be divided between' the tort victim on the one hand and the insurer via its rights of subrogation on the other. A common view among the courts and legal commentators is that the insured should be made whole before the insurer recovers subrogation. This paper employs simple models of optimal insurance contracts to show that the opposite rule will often be optimal. Accordingly, there is little …

The Limits Of Gaylaw, Dale Carpenter

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The world into which Gaylaw arrives is one whose poles are very far apart. At one pole, a man fatally fractures his dog's skull by beating him with a plastic vacuum cleaner accessory and then throwing the dog against a tree trunk. 3 Why? The man concluded the dog was homosexual after he saw the poodle-Yorkshire terrier mix repeatedly attempt sexual activity with another male terrier. 4 At the man's subsequent trial for animal cruelty, a veterinarian testified that such behavior in dogs is a common way for them to assert dominance, rather than necessarily a sexual act, much less …

Zr-Containing 4,4'-Oda/Pmda Polyimide Composites Parts I And Ii, Marvin Illingsworth, J. Betancourt, Liling He

Articles

The objective of this research is to improve the atomic oxygen resistance of KaptonTM, a polyimide (PI) made from pyromellitic acid dianhydride (PMDA) and 4,4'-oxydianiline (ODA), while retaining or enhancing the desirable properties of the pure polymer. Toward this end, zirconium-containing complexes and polymers were used to make composites and blends. Tetra(acetylacetonato)zirconium(IV), Zr(acac)4, which is commercially available, was identified as the best zirconium-containing complex for enhancing the atomic oxygen resistance of polyimide composites of the 10 complexes screened. Films prepared from the commercially-available polyamic acid (PAA) of PMDA-ODA (DuPont) have good uniformity, flexibility, and tensile strength. A 24-layer 10% (mol) …

E' Is For Eclectic: Multiple Perspectives On Evidence (Symposium: New Perspectives On Evidence), Richard D. Friedman

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A conference titled "New Perspectives on Evidence: Experts, Empirical Study and Economics" has a pronounced alliterative theme, a theme made even more apparent when, inevitably in evidentiary discourse, epistemological questions come to the fore. It is enough to make one suspect that the conference is secretly brought to you by the letter "E," hiding behind its public front, the Olin Foundation. Putting aside such conspiratorial thoughts, all these "E's" suggest the presence of a meta-"E"-Eclecticism. Indeed, I believe this conference has demonstrated the need for an eclectic approach to evidentiary problems. That should be no surprise. The domain of evidentiary …

The Problem Of A Viscoelastic Cylinder Rolling On A Rigid Half-Space, John Murrough Golden, G.A.C. Graham

Articles

The problem of a viscoelastic cylinder rolling on a rigid base, propelled by a line force acting at its centre, is solved in the noninertial approximation. The method used is based on a decomposition of hereditary integrals developed by the authors in previous work, and on the viscoelastic Kolosov-Muskhelishvili equations which are used to generate a Hilbert problem. In this formulation, the problem reduces to a nonsingular integral equation in space and time, which simplifies under steady-state conditions and for exponential decay materials, to algebraic form. There are also two subsidiary conditions.

In the case of a standard linear model, …

Carrington, Cooley, Kennedy, Klare, Patrick O. Gudridge

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No abstract provided.

The Ramsey Multiplicity Of K_4, Konrad Piwakowski, Stanislaw Radziszowski

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With the help of computer algorithms, we improve the lower bound on the Ramsey multiplicity of K4, and thus show that the exact value of it is equal to 9.