Digital Commons Network^™

Densities Of 4-Ranks Of K(2) Of Rings Of Integers., Robert Burke Osburn

LSU Historical Dissertations and Theses

Conner and Hurrelbrink established a method of determining the structure of the 2-Sylow subgroup of the tame kernel K2( O ) for certain quadratic number fields. Specifically, the 4-rank for these fields was characterized in terms of positive definite binary quadratic forms. Numerical calculations led to questions concerning possible density results of the 4-rank of tame kernels. In this thesis, we succeed in giving affirmative answers to these questions.

Seiberg-Witten Invariants Of 4-Manifolds With Free Circle Actions, Scott Baldridge

Faculty Publications

The main results of this paper describes a formula for the Seiberg-Witten invariant of a 4-manifold which admits a nontrivial free circle action. We use this theorem to produce a nonsymplectic 4-manifold with a free circle action whose orbit space fibers over circle. We also describe a nontrivial 3-manifold which is not the orbit space of any symplectic 4-manifold with a free circle action. A corollary of the main theorem is a formula for the 3-dimensional Seiberg-Witten invariants of the total space of a circle bundle over a surface. © World Scientific Publishing Company.

Causal Compactification And Hardy Spaces For Spaces Of Hermitian Type, Frank Betten, Gestur Ólafsson

Faculty Publications

Let G/H be a compactly causal symmetric space with causal compactification Φ : G/H → Š1, where Š1 is the Bergman-Šilov boundary of a tube type domain G1/K1. The Hardy space H2(C) of G/H is the space of holomorphic functions on a domain Ξ(C°) ⊂ Gℂ/Hℂ with L2-boundary values on G/H. We extend Φ to imbed Ξ(C°) into G1/K1, such that Ξ(C°) = {z ∈ G1/K1 | ψm(z) ≠ 0}, with ψm explicitly known. We use this to construct an isometry I of the classical Hardy space Hcl on G1/K1 into H2(C) or into a Hardy space H̃2(C) defined on …

Useful Alternative To The Multipole Expansion Of Potentials, H. S. Cohl, A. R.P. Rau, J. E. Tohline, D. A. Browne, J. E. Cazes, E. I. Barnes

Faculty Publications

Few-body problems involving Coulomb or gravitational interactions between pairs of particles, whether in classical or quantum physics, are generally handled through a standard multipole expansion of the two-body potentials. We develop an alternative based on an old, but hitherto forgotten, expression for the inverse distance between two points that builds on azimuthal symmetry. This alternative should have wide applicability throughout physics and astronomy, both for computation and for the insights it provides through its emphasis on different symmetries and structures than are familiar from the standard treatment. We compare and contrast the two methods, develop addition theorems for Legendre functions …

The Bennequin Number Of N-Trivial Closed N-Braids Is Negative, Oliver T. Dasbach, Lin Xiao-Song

Faculty Publications

A famous result of Bennequin states that for any braid representative of the unknot the Bennequin number is negative. We will extend this result to all n-trivial closed n-braids. This is a class of infinitely many knots closed under taking mirror images. Our proof relies on a non-standard parameterization of the HOMFLY polynomial. Another interesting corollary of this parameterization is that if all Vassiliev invariants up to degree c vanish on a knot of crossing number c, then this knot has trivial HOMFLY polynomial.

Viscosity Solutions Of The Bellman Equation For Exit Time Optimal Control Problems With Non-Lipschitz Dynamics, Michael Malisoff

Faculty Publications

We study the Bellman equation for undiscounted exit time optimal control problems with fully nonlinear Lagrangians and fully nonlinear dynamics using the dynamic programming approach. We allow problems whose non-Lipschitz dynamics admit more than one solution trajectory for some choices of open loop controls and initial positions. We prove a uniqueness theorem which characterizes the value functions of these problems as the unique viscosity solutions of the corresponding Bellman equations that satisfy appropriate boundary conditions. We deduce that the value function for Sussmann’s Reflected Brachystochrone Problem for an arbitrary singleton target is the unique viscosity solution of the corresponding Bellman …

Cosmopolitanism In Early Travel Literature Alexandre De Rhodes In Vietnam, Barbara W. Maggs

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

No abstract provided.

Towards A Geriatric Enlightenment, George Rousseau

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

No abstract provided.

Foliation Jokes In Tristram Shandy, Diana Patterson

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

No abstract provided.

Quantum Measurement And Decoherence, G. W. Ford, J. T. Lewis, R. F. O’Connell

Faculty Publications

Distribution functions defined in accordance with the quantum theory of measurement are combined with results obtained from the quantum Langevin equation to discuss decoherence in quantum Brownian motion. Closed form expressions for wave packet spreading and the attenuation of coherence of a pair of wave packets are obtained. The results are exact within the context of linear passive dissipation. It is shown that, contrary to widely accepted current belief, decoherence can occur at high temperature in the absence of dissipation. Expressions for the decoherence time with and without dissipation are obtained that differ from those appearing in earlier discussions. © …

Cure For Unstable Numerical Evolutions Of Single Black Holes: Adjusting The Standard Adm Equations In The Spherically Symmetric Case, Bernard Kelly, Pablo Laguna, Keith Lockitch, Jorge Pullin, Erik Schnetter, Deirdre Shoemaker, Manuel Tiglio

Faculty Publications

Numerical codes based on a direct implementation of the standard Arnowitt-Deser-Misner (ADM) formulation of Einstein's equations have generally failed to provide long-term stable and convergent evolutions of black hole space-times when excision is used to remove the singularities. We show that, for the case of a single black hole in spherical symmetry, it is possible to circumvent these problems by adding terms involving the constraints to the evolution equations, thus adjusting the standard ADM system. We investigate the effect that the choice of the lapse and shift has on the stability properties of numerical simulations and thus on the form …

The Privatization Of Big Brother: Protecting Sensitive Personal Information From Commercial Interests In The 21st Century, Mike Hatch

William Mitchell Law Review

No abstract provided.

An Opinionated Analysis Of The Radio Industry Including A Primer On Valuation Of Radio Spectrum, Terrance W. Moore

William Mitchell Law Review

No abstract provided.

Monodromy Of Fiber-Type Arrangements And Orbit Configuration Spaces, Daniel C. Cohen

Faculty Publications

We prove similar theorems concerning the structure of bundles involving complements of fiber-type hyperplane arrangements and orbit configuration spaces. These results facilitate analysis of the fundamental groups of these spaces, which may be viewed as generalizations of the Artin pure braid group. In particular, we resolve two disparate conjectures. We show that the Whitehead group of the fundamental group of the complement of a fiber-type arrangement is trivial, as conjectured by Aravinda, Farrell, and Rouchon [AFR]. For the orbit configuration space corresponding to the natural action of a finite cyclic group on the punctured plane, we determine the structure of …

An Indoor Amphitheater?, Furman University

Furman Magazine

No abstract provided.

A Furman Legend, Jim Stewart '76

Furman Magazine

Peggy Park steps down after 40 years in the dean's office

Rinker Challenge Builds On Its Own Success, Furman University

Furman Magazine

No abstract provided.

Funds Grow For Campaign Construction Projects, Furman University

Furman Magazine

No abstract provided.

Planned Giving: Plan Ahead, Betsy Moseley '74

Furman Magazine

No abstract provided.

Book Marks, Furman University

Furman Magazine

Each issue of Furman magazine includes brief reviews of books written by Furman faculty and alumni, or reviews of books recommended by faculty as "good reads."

Strictly Positive Definite Functions On A Compact Group, Mohamed Allali, Tomasz Przebinda

Mathematics, Physics, and Computer Science Faculty Articles and Research

We recognize a result of Schreiner, concerning strictly positive definite functions on a sphere in an Euclidean space, as a generalization of Bochner's theorem for compact groups.

Aga Khan University Progress Report 2000-2001, Aga Khan University

The Aga Khan University Reports Archives

• Foreword
• Aga Khan University
• University Focus
• University in the Community
• Research and Development Highlights
• Seminar and Conference Highlights
• Major University Partners and Supporters
• New Facilities
• Financial Information
• University Overview
• University Governance and Board of Trustees

Utility Of Walleyes And Saugeyes As Secondary Predators In Small South Dakota Impoundments, Mark J. Ermer

Electronic Theses and Dissertations

Walleye Stizostedion vitreum and saugeye (walleye x sauger S. canadense) fingerlings were concurrently stocked at equal densities into five small impoundments in 1997, 1988, and 1999 to evaluate relative survival, growth and their ability to restructure existing panfish communities. Prior to stocking, fish were differentially marked on the right or left side with freeze brands or with 700 ppm oxytetracycline hydrochloride (OTC) to allow accurate identification of each fish as a walleye (fry mark) or a saugeye (fingerling mark). Spring and fall night electrofishing was used to sample the stocked percids, as well as potential competing species such as largemouth …

2001-2003 Undergraduate 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 for the academic years 2001-2002 and 2002-2003.

The Partial Evaluation Approach To Information Personalization, Naren Ramakrishnan, Saverio Perugini

Computer Science Faculty Publications

Information personalization refers to the automatic adjustment of information content, structure, and presentation tailored to an individual user. By reducing information overload and customizing information access, personalization systems have emerged as an important segment of the Internet economy. This paper presents a systematic modeling methodology— PIPE (‘Personalization is Partial Evaluation’) — for personalization. Personalization systems are designed and implemented in PIPE by modeling an information-seeking interaction in a programmatic representation. The representation supports the description of information-seeking activities as partial information and their subsequent realization by partial evaluation, a technique for specializing programs. We describe the modeling methodology at a …

Coproduct Of Su_{Q} (2), Coherent States And Four Point Function With Logarithmic Regge Trajectories, M. Arik, Ayşe Peker-Dobie

Turkish Journal of Physics

The representation of the operators belonging to a 2 \times 2 SU_q (2) matrix yield a Hilbert space H. The coproducts of these operators define a Hilbert space H^{(2)} isomorphic to H and canonically embedded in H \otimes H. The four-point function obtained by taking the scalar product of the ground state of H^{(2)} with the coherent states in H \otimes H is uniquely defined, is meromorphic and has Regge behaviour.

Comparison Of Two B-Polynomial Methods: Application To The Identification Of Time Delayed Processes, Ruiyao Gao, Aidan O'Dwyer

Conference papers

An extensive literature exists on the estimation of the model parameters of time delayed processes. The objective of this paper is to review the main B-polynomial approaches to the delay estimation problem. More specifically, two algorithms are discussed and compared theoretically and in simulation. The algorithms involve various procedures to assess how the model relates to the observed data, to a priori knowledge, and to the algorithms’ intended use. Simulation results indicate that both the algorithms can suitably identify the model parameters, including the time delay. This paper also discusses advantages and disadvantages of the methods and gives some guidelines …

General Guide- 2001, Admissions Staff

Student Handbooks

Student guide

Viewbook- 2001, Admissions Staff

Student Handbooks

Student guide

Semiclassical Application Of The Mo/Ller Operators In Reactive Scattering, Sophya V. Garashchuk, J. C. Light

Faculty Publications

Mo/ller operators in the formulation of reaction probabilities in terms of wave packet correlation functions allow us to define the wave packets in the interaction region rather than in the asymptotic region of the potential surface. We combine Mo/ller operators with the semiclassical propagator of Herman and Kluk. This does not involve further approximations and can be used with any initial value representation (IVR) semiclassical propagator. Time propagation in asymptotic regions of the potential due to Mo/ller operators reduces the oscillations of the propagator integrand and improves convergence of the results with respect to the number of trajectories. The effectiveness …