Digital Commons Network^™

Heat Conduction In Fine Scale Mixtures With Interfacial Contact Resistance, Robert Lipton

Faculty Publications

Heat conduction in a fine scale mixture of two conductors is examined in the presence of a contact resistance between phases. The problem is studied rigorously in the context of periodic homogenization. Unlike the case of perfect heat transmission between phases, the temperature gradients converge weakly as Radon measures. The strict ellipticity of the homogenized transport equation depends upon the geometry of the interface. The effective conductivity associated with the overall heat dissipation rate inside a composite cube is considered. It is shown that this property exhibits a size effect under rescaling.

The Second Stekloff Eigenvalue And Energy Dissipation Inequalities For Functionals With Surface Energy, Robert Lipton

Faculty Publications

A functional with both bulk and interfacial surface energy is considered. It corresponds to the energy dissipated inside a two-phase electrical conductor in the presence of an electrical contact resistance at the two-phase interface. The effect of embedding a highly conducting particle into a matrix of lesser conductivity is investigated. We find the criterion that determines when the increase in surface energy matches or exceeds the reduction in bulk energy associated with the particle. This criterion is general and applies to any particle with Lipschitz continuous boundary. It is given in terms of the of the second Stekloff eigenvalue of …

Influence Of Interfacial Surface Conduction On The Dc Electrical Conductivity Of Particle Reinforced Composites, Robert Lipton

Faculty Publications

We describe new effects associated with electrical conduction along phase interfaces for particle reinforced conductors. For particles of general shape we introduce a new quantity β1 called the 'surface to volume dissipation' of a particle. This quantity is a measure of the particle's ability to dissipate energy on its surface relative to the energy dissipated in its interior. It is described mathematically as the minimum value of a suitably defined Rayleigh quotient and is related to an eigenvalue problem posed on the particle surface. We consider the overall conductivity of a particle reinforced conductor when the particle conductivities are less …

On Weak Maps Of Ternary Matroids, James Oxley, Geoff Whittle

Faculty Publications

Let M and N be ternary matroids having the same rank and the same ground set, and assume that every independent set in N is also independent in M. The main result of this paper proves that if M is 3-connected and N is connected and non-binary, then M = N. A related result characterizes precisely when a matroid that is obtained by relaxing a circuit-hyperplane of a ternary matroid is also ternary. © 1998 Academic Press Limited.

On Packing 3-Connected Restrictions Into 3-Connected Matroids, James Oxley

Faculty Publications

Let M1,M2,...,Mn be 3-connected restrictions of a 3-connected matroid M on disjoint ground sets E1,E2,...,En, respectively. This paper proves that M has a 3-connected minor N that contains E1 UE2 U ··· UEn, has its restriction to each Ei, being Mi, and has at most 2n - 2 additional elements.

On Summability Of Distributions And Spectral Geometry, R. Estrada, J. M. Gracia-Bondía, J. C. Várilly

Faculty Publications

Modulo the moment asymptotic expansion, the Cesàro and parametric behaviours of distributions at infinity are equivalent. On the strength of this result, we construct the asymptotic analysis for spectral densities arising from elliptic pseudodifferential operators. We show how Cesàro developments lead to efficient calculations of the expansion coefficients of counting number functionals and Green functions. The bosonic action functional proposed by Chamseddine and Connes can more generally be validated as a Cesàro asymptotic development.

Shame And Identity Pope's "Critique Of Judgement" In An Essay On Criticism, Blakey Vermeule

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

Benjamin Whichcote's Aphorisms And The Importance Of Latitudinarianism, Melvyn New

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

The Pulses Of The Body Romantic Vegetarianism And Its Cultural Contexts, Timothy Morton

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

Complementary Group Resolution Of The Su(N) Outer Multiplicity Problem. I. The Littlewood Rules And A Complementary U(2n-2) Group Structure, Feng Pan, J. P. Draayer

Faculty Publications

A complementary group to SU(n) is found that realizes all features of the Littlewood rules for Kronecker products of SU(n) representations. This is accomplished by considering a state of SU(n) to be a special Gel'fand state of the complementary group U(2n-2) with labels of the latter used to distinguish multiple occurrences of irreducible representations of SU(n) (irreps) in the SU(n)×SU(n)↓SU(n) decomposition that is obtained from the Littlewood rules. Furthermore, this realization also helps us to determine SU(n)⊃SU(n - 1) × U(1) Reduced Wigner Coefficients (RWCs, frequently called Isoscalar Factors) and Clebsch-Gordan Coefficients [CGCs, or full (nonreduced) Wigner Coefficients] of SU(n), …

Wavelets And Quantum Algebras, A. Ludu, M. Greiner, J. P. Draayer

Faculty Publications

Wavelets, known to be useful in nonlinear multiscale processes and in multiresolution analysis, are shown to have a q-deformed algebraic structure. The translation and dilation operators associate to any scaling equation a nonlinear, two parameter algebra. This structure can be mapped onto the quantum group slq(2) in one limit, and approaches a Fourier series generating algebra, in another limit. A duality between any scaling function and its corresponding nonlinear algebra is obtained. Examples for the Haar and B-wavelets are worked out in detail. © 1998 American Institute of Physics.

Complementary Group Resolution Of The Su(N) Outer Multiplicity Problem. Ii. Recoupling Approach For Su(3)⊃U(2) Reduced Wigner Coefficients, Feng Pan, J. P. Draayer

Faculty Publications

A general procedure for the derivation of SU(3)⊃U(2) reduced Wigner coefficients (RWCs) for the coupling (λ1μ1) × (λ2μ2) ↓ (λ μ)η, where η is the outer multiplicity label required in the decomposition, is proposed based on a recoupling approach that follows the complementary group technique for a resolution of the outer multiplicity of SU(n) introduced in Part (I) of this series. RWCs of SU(n) are not unique under a canonical resolution of the outer multiplicity; the transformation from one set to another are elements of SO(m), where m is the number of occurrences of the (λ μ) irrep in the …

A Physical Model Of Warped Galaxy Disks, Kimberly C.B. New, Joel E. Tohline, Juhan Frank, Horst M. Väth

Faculty Publications

Warped H 1 gas layers in the outer regions of spiral galaxies usually display a noticeably twisted structure. This structure almost certainly arises primarily as a result of differential precession in the H I disk as it settles toward a preferred orientation in an underlying dark halo potential well that is not spherically symmetric. In an attempt to better understand the structure and evolution of these twisted, warped disk structures, we have adopted the "twist equation" formalism originally developed by Petterson to study accretion onto compact objects. Utilizing more recent treatments of this formalism, we have generalized the twist equation …

The Future Of Impact Fees In Minnesota , Floyd B. Olson, Daniel J. Greensweig, Scott J. Riggs

William Mitchell Law Review

No abstract provided.

Aga Khan University, Report 1994-1998, Aga Khan University

The Aga Khan University Reports Archives

• Message from the Chairman
• Foreword
• The Faculty of Health Sciences
• School Nutrition Program
• The Institute for Educational Development
• The Aga Khan University Hospital
• New Facilities Accommodate Growth
• AKU's evolving research capacity
• Alumni strengthen the University
• New Leadership appointments
• Brown University honours Chancellor
• National and International Support
• Financial Highlight
• Program at a glance

Attitude Measurement, Mark A. Stedham, Partha P. Banerjee, Seiji Nishifuji, Shogo Tanaka

Electrical and Computer Engineering Faculty Publications

In many practical situations, it is important to determine and measure the attitude of a particular vehicle, such as a ship, an airplane, a piece of mechanical equipment such as a, crane lifter, or a spacecraft. For this reason, many attitude sensors have been developed with advanced computer and semiconductor technologies. This section first introduces the various attitude sensors with an explanation of their operating principles and then presents several methodologies for attitude measurement and determination, including ships and crane lifters, aircraft, and spacecraft applications.

1998-1999 Graduate Catalog, The University Of Alabama In Huntsville

Course Catalogs

Includes academic calendars, campus resources, a campus map, admissions requirements, and information about finances and degree programs.

1998-1999 Undergraduate Catalog, The University Of Alabama In Huntsville

Course Catalogs

Includes academic calendars, admissions requirements, and information about student life and academics.

Allocating Resources Among Prisons And Social Programs In The Battle Against Crime, Peter Siegelman, John J. Donohue Iii

Faculty Articles and Papers

This article evaluates the cost and crime-reducing potential of prisons and social spending, setting forth the conditions under which a shift in resources from an expanding prison population into social spending would lead to a reduction in total crime. Preschool enrichment programs coupled with family intervention have generated impressive results in reducing crime in a number of different studies. Targeting of resources toward those children most at risk of criminal behavior is necessary to generate cost-effective crime reduction, but this may be difficult to achieve because of political or constitutional constraints. Given precise targeting, and if a broadly implemented preschool …

From Odysseus To Capgras: Seven Episodes Of Personal Identity In Law, Robert Birmingham

Faculty Articles and Papers

No abstract provided.

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

Faculty Publications

A correlation function formulation for the state-selected total reaction probability, Nα(E), is suggested. A wave packet, correlating with a specific set of internal reactant quantum numbers, α, is propagated forward in time until bifurcation is complete at which time the nonreactive portion of the amplitude is discarded. The autocorrelation function of the remaining amplitude is then computed and Fourier transformed to obtain a reactivity spectrum. Dividing by the corresponding spectrum of the original, unfiltered, wave packet normalizes the reactivity spectrum, yielding the total reaction probability from the internal state, α. The procedure requires negligible storage and just one time-energy Fourier …

Creative Problem Solving: Purpose, Meaning, And Values, Thomas D. Barton

California Western Law Review

No abstract provided.

Cal State San Bernardino Magazine (Spring 1998-1999), Csusb

CSUSB Magazine

Contents:

Special......Page 2
Police agencies in several nations are working on ways that communities can head off crime, rather than simply react to it.

Observations......Page 4
Alumni and citizens have much to be proud of with the accomplishments of Cal state faculty.

Cal State Update......Page 5
Year 2000, telecommunications infrastructure managed capably on campus.

College News......Page 8
Pete Fairchild's poetry continues to collect top-shelf awards.

Coyote Sports......Page 14
The way it was in the Coyote's most exciting year yet in men's basketball.

Gift Rap......Page 16
San Bernardino resident Evelyn Magnuson establishes scholarships for hometown …

Focus Emu, November 17, 1998, Office Of Public Information

Focus EMU

No abstract provided.

Focus Emu, April 21, 1998, Office Of Public Information

Focus EMU

No abstract provided.

Analysis Of Experimental Designs Used In Bioassays, Vidyadhar Kshirsagar

Master's Theses and Doctoral Dissertations

No abstract provided.

Revisiting The Policy Case For Supplemental Jurisdiction, Robert G. Bone

Indiana Law Journal

Symposium: A Reappraisal of the Supplemental-Jurisdiction Statute: Title 28 U.S.C. § 1367.

The University Of Texas Of The Permian Basin Fall '98 Class Schedule, The University Of Texas Of The Permian Basin

Course Schedules

No abstract provided.

Qualitative-Quantitative Research Methodology: Exploring The Interactive Continuum, Isadore Newman, Carolyn Ridenour

Educational Leadership Faculty Publications

Rejecting the artificial dichotomy between qualitative and quantitative research strategies in the social and behavioral sciences, the authors argue that the two approaches are neither mutually exclusive nor interchangeable; rather, the actual relationship between the two paradigms is one of isolated events on a continuum of scientific inquiry.

Evaluation Of Implicit Numerical Methods For Building Energy Simulation, Michael Crowley, Saleem Hashmi

Articles

The stability of numerical methods used for finite-difference thermal modelling of buildings is discussed. A known instability in a commonly used process is described and alternative numerical methods with suitable stability properties are identified. With a view to selecting the optimum numerical method, the building energy simulation problem is characterized mathematically and appropriate implicit solvers are compared on the basis of accuracy and computational effort using a building related test problem prepared for this purpose. A recently developed numerical method with the necessary strong stability is found to possess higher computational efficiency than methods frequently used in this application and …