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The Star Pile In Abell 545, R. Salinas, T. Richtler, M. J. West, Aaron J. Romanowsky, Y. Schuberth Jan 2007

The Star Pile In Abell 545, R. Salinas, T. Richtler, M. J. West, Aaron J. Romanowsky, Y. Schuberth

Faculty Publications

Context.Struble (1988, ApJ, 330, L25) found what appeared to be a cD halo without cD galaxy in the center of the galaxy cluster Abell 545. This remarkable feature has been passed almost unnoticed for nearly twenty years. Aims.Our goal is to review Struble's claim by providing a first (preliminary) photometric and spectroscopic analysis of this "star pile". Methods.Based on archival VLT-images and long-slit spectra obtained with Gemini-GMOS, we describe the photometric structure and measure the redshift of the star pile and of the central galaxy. Results.The star pile is indeed associated with Abell 545. Its velocity is higher by about …


Boosted Classification Trees And Class Probability/Quantile Estimation, David Mease, A. Wyner, A. Buja Jan 2007

Boosted Classification Trees And Class Probability/Quantile Estimation, David Mease, A. Wyner, A. Buja

Faculty Publications

The standard by which binary classifiers are usually judged, misclassification error, assumes equal costs of misclassifying the two classes or, equivalently, classifying at the 1/2 quantile of the conditional class probability function P[y = 1jx]. Boosted classification trees are known to perform quite well for such problems. In this article we consider the use of standard, off-the-shelf boosting for two more general problems: 1) classification with unequal costs or, equivalently, classification at quantiles other than 1/2, and 2) estimation of the conditional class probability function P[y = 1jx]. We first examine whether the latter problem, estimation of P[y = 1jx], …


Numerical Methods For The Stochastic Landau-Lifshitz Navier-Stokes Equations, Alejandro Garcia, J. B. Bell, S. Williams Jan 2007

Numerical Methods For The Stochastic Landau-Lifshitz Navier-Stokes Equations, Alejandro Garcia, J. B. Bell, S. Williams

Faculty Publications

The Landau-Lifshitz Navier-Stokes (LLNS) equations incorporate thermal fluctuations into macroscopic hydrodynamics by using stochastic fluxes. This paper examines explicit Eulerian discretizations of the full LLNS equations. Several computational fluid dynamics approaches are considered (including MacCormack’s two-step Lax-Wendroff scheme and the piecewise parabolic method) and are found to give good results for the variance of momentum fluctuations. However, neither of these schemes accurately reproduces the fluctuations in energy or density. We introduce a conservative centered scheme with a third-order Runge-Kutta temporal integrator that does accurately produce fluctuations in density, energy, and momentum. A variety of numerical tests, including the random walk …


The Pn.S Elliptical Galaxy Survey: Data Reduction, Planetary Nebula Catalog, And Basic Dynamics For Ngc 3379, N. G. Douglas, N. R. Napolitano, Aaron J. Romanowsky, L. Coccato, K. Kuijken, M. R. Merrifield, M. Arnaboldi, O. Gerhard, K. C. Freeman, H. R. Merrett, E. Noordermeer, M. Capaccioli Jan 2007

The Pn.S Elliptical Galaxy Survey: Data Reduction, Planetary Nebula Catalog, And Basic Dynamics For Ngc 3379, N. G. Douglas, N. R. Napolitano, Aaron J. Romanowsky, L. Coccato, K. Kuijken, M. R. Merrifield, M. Arnaboldi, O. Gerhard, K. C. Freeman, H. R. Merrett, E. Noordermeer, M. Capaccioli

Faculty Publications

We present results from Planetary Nebula Spectrograph (PN.S) observations of the elliptical galaxy NGC 3379 and a description of the data reduction pipeline. We detected 214 planetary nebulae, of which 191 are ascribed to NGC 3379 and 23 to the companion galaxy NGC 3384. Comparison with data from the literature shows that the PN.S velocities have an internal error of lesssim20 km s-1 and a possible offset of similar magnitude. We present the results of kinematic modeling and show that the PN kinematics is consistent with absorption-line data in the region where they overlap. The resulting combined kinematic data set, …


From Observers To Participants: Joining The Scientific Community, Catherine A. Reinke, Susan R. Singer, Carl Mcdaniel, Carolyn J. Ferguson, Julia Vandermeer, Adam Williamson Jan 2007

From Observers To Participants: Joining The Scientific Community, Catherine A. Reinke, Susan R. Singer, Carl Mcdaniel, Carolyn J. Ferguson, Julia Vandermeer, Adam Williamson

Faculty Publications

In this essay, we have integrated the voices of our mentors and students to explore 45 years of undergraduate research experiences and their role in shaping our scientific community. In considering our collective experiences, we see undergraduate involvement in research as a rich source of community development, one that has both touched our lives and influenced our teaching.


Factor Market Oligopsony And The Location Decision Of Free Entry Oligopoly, Yeung-Nan Shieh, Chiung - I Wang Jan 2007

Factor Market Oligopsony And The Location Decision Of Free Entry Oligopoly, Yeung-Nan Shieh, Chiung - I Wang

Faculty Publications

No abstract provided.


The Relaxed Game Chromatic Index Of K-Degenerate Graphs, Charles Dunn Jan 2007

The Relaxed Game Chromatic Index Of K-Degenerate Graphs, Charles Dunn

Faculty Publications

The (r, d)-relaxed coloring game is a two-player game played on the vertex set of a graph G. We consider a natural analogue to this game on the edge set of G called the (r, d)-relaxed edge-coloring game. We consider this game on trees and more generally, on k-degenerate graphs. We show that if G is k-degenerate with ∆(G) = ∆, then the first player, Alice, has a winning strategy for this game with r = ∆+k−1 and d≥2k2 + 4k.


Daubert Challenges To Firearms (“Ballistics”) Identifications, Paul C. Giannelli Jan 2007

Daubert Challenges To Firearms (“Ballistics”) Identifications, Paul C. Giannelli

Faculty Publications

No abstract provided.


Academic Writing And Theological Inquiry, Terry Dwain Robertson Jan 2007

Academic Writing And Theological Inquiry, Terry Dwain Robertson

Faculty Publications

A comparison of two approaches to academic writing and research pedagogies demonstrates that, for Vyhmeister, truth is to be found outside and above us--it is a process of discovery, while Hamilton's approach focuses on the spiritual formation of the writer and can be understood as reflecting a process of spiritual growth. A third approach, which I develop in this article, views academic writing and theological inquiry as a ministry, in which the writer is served by and, in turn, serves the community of faith for the purpose of building a corporate knowledge of God. Research is service and the dissemination …


A Cognitive Robotics Approach To Comprehending Human Language And Behaviors, Deryle W. Lonsdale, D. Paul Benjamin, Damian Lyons Jan 2007

A Cognitive Robotics Approach To Comprehending Human Language And Behaviors, Deryle W. Lonsdale, D. Paul Benjamin, Damian Lyons

Faculty Publications

The ADAPT project is a collaboration of researchers in linguistics, robotics and artificial intelligence at three universities. We are building a complete robotic cognitive architecture for a mobile robot designed to interact with humans in a range of environments, and which uses natural language and models human behavior. This paper concentrates on the HRI aspects of ADAPT, and especially on how ADAPT models and interacts with humans.


Analogical Modeling: An Update, Deryle W. Lonsdale, David Eddington Jan 2007

Analogical Modeling: An Update, Deryle W. Lonsdale, David Eddington

Faculty Publications

Analogical modeling is a supervised exemplar-based approach that has been widely applied to predict linguistic behavior. The paradigm has been well documented in the linguistics and cognition literature, but is less well known to the machine learning community. This paper sets out some of the basics of the approach, including a simplified example of the fundamental algorithm’s operation. It then surveys some of the recent analogical modeling language applications, and sketches how the computational system has been enhanced lately to offer users increased flexibility and processing power. Some comparisons and contrasts are drawn between analogical modeling and other language modeling …


Clustering Streaming Music Via The Temporal Similarity Of Timbre, Jacob Merrell, Bryan S. Morse, Dan A. Ventura Jan 2007

Clustering Streaming Music Via The Temporal Similarity Of Timbre, Jacob Merrell, Bryan S. Morse, Dan A. Ventura

Faculty Publications

We consider the problem of measuring the similarity of streaming music content and present a method for modeling, on the fly, the temporal progression of a song’s timbre. Using a minimum distance classification scheme, we give an approach to classifying streaming music sources and present performance results for auto-associative song identification and for content-based clustering of streaming music. We discuss possible extensions to the approach and possible uses for such a system.


The Forum Defendant Rule In Arkansas, Scott Dodson Jan 2007

The Forum Defendant Rule In Arkansas, Scott Dodson

Faculty Publications

Section 1441(b) of the removal statute prohibits removal of a diversity case if a defendant is a citizen of the state in which the case was originally filed. The bar to removal is known as the Forum Defendant Rule. Is removal in violation of the Forum Defendant Rule a jurisdictional or nonjurisdictional defect? The characterization matters because a jurisdictional defect can be raised at any time, while a nonjurisdictional defect must be raised within a specific period of time or is waived. The Supreme Court has not resolved the characterization, but a number of circuit courts, including the Eighth Circuit, …


Creating Mathematics Performance Assessments That Address Multiple Student Levels, Damon L. Bahr Jan 2007

Creating Mathematics Performance Assessments That Address Multiple Student Levels, Damon L. Bahr

Faculty Publications

In recent times there has been considerable commentary regarding the need to enhance mathematical assessment as evidenced by Numeracy, A Priority for All: Challenges for Australian Schools (2000). This emphasis on assessment is timely because although the mathematical reform movement has produced much-needed improvements in both curriculum and instruction, changes in assessment have not kept pace (Firestone & Schorr. 2004; Morgan, 1998). As Ridgeway (1998, p.2) states, "As an issue of policy, the implementation of standards-based curricula should always be accompanied by the implementation of standards-based assessment. In fact, incremental change in assessment systems will foster concurrent improvement in professional …


Aeronautical Telemetry Using Multiple-Antenna Transmitters, Michael A. Jensen, Michael D. Rice, Adam L. Anderson Jan 2007

Aeronautical Telemetry Using Multiple-Antenna Transmitters, Michael A. Jensen, Michael D. Rice, Adam L. Anderson

Faculty Publications

The placement of multiple antennas on an air vehicle is one possible practice for overcoming signal obstruction created by vehicle maneuvering during air-to-ground transmission. Unfortunately, for vehicle attitudes where more than one of these antennas has a clear path to the receiving station, this practice also leads to self-interference nulls, resulting in dramatic degradation in the average signal integrity. This paper discusses application of unitary space-time codes such as the Alamouti transmit diversity scheme and unitary differential space-time codes to overcome the self-interference effect observed in such systems. The mathematical foundations of these techniques within the context of this application …


Snell's Law Of Refraction Observed In Thermal Frontal Polymerization, John A. Pojman, Veronika Viner, Burcu Binici, Shanna Lavergne, Melanie Winsper, Dmitry Golovaty, Laura Gross Jan 2007

Snell's Law Of Refraction Observed In Thermal Frontal Polymerization, John A. Pojman, Veronika Viner, Burcu Binici, Shanna Lavergne, Melanie Winsper, Dmitry Golovaty, Laura Gross

Faculty Publications

We demonstrate that Snell's law of refraction can be applied to thermal fronts propagating through a boundary between regions that support distinct frontal velocities. We use the free-radical frontal polymerization of a triacrylate with clay filler that allows for two domains containing two different concentrations of a peroxide initiator to be molded together. Because the polymerization reaction rates depend on the initiator concentration, the propagation speed is different in each domain. We study fronts propagating in two parallel strips in which the incident angle is 90°. Our data fit Snell's law vr vi = sin θr sin θi, where vr …


Intellectual Relations Between Historical Geography And Latin Americanist Geography, Andrew Sluyter, Kent Mathewson Jan 2007

Intellectual Relations Between Historical Geography And Latin Americanist Geography, Andrew Sluyter, Kent Mathewson

Faculty Publications

Content analysis of Geography in America (Gaile and Willmott 2003), which collects forty-seven chapters written by representatives of each of the specialty groups of the Association of American Geographers (AAG), reveals much about the recent intellectual structure of the discipline (Sluyter et al. 2006). One striking feature of that structure is the lack of intellectual connectivity, measured in practitioners named and publications cited, between the chapters of the Latin Americanist Specialty Group (LASG) and the Historical Geography Specialty Group (HGSG). Detailed comparison of the HGSG chapter and the Historical and Cultural Perspectives section of the LASG chapter addresses the character …


Measurement Of Neutral Current Cross Sections At High Bjorken-X With The Zeus Detector At Hera, S. Chekanov, M. Derrick, S. Magill, S. Miglioranzi, B. Musgrave, D. Nicholass, J. Repond, R. Yoshida, Margarita C. K. Mattingly, N. Pavel, A. G. Yagües Molina, S. Antonelli, P. Antonioli, G. Bari, M. Basile, L. Bellagamba, M. Bindi, D. Boscherini, A. Bruni, G. Bruni, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, S. De Pasquale, G. Iacobucci, A. Margotti, R. Nania, A. Polini, L. Rinaldi, G. Sartorelli Jan 2007

Measurement Of Neutral Current Cross Sections At High Bjorken-X With The Zeus Detector At Hera, S. Chekanov, M. Derrick, S. Magill, S. Miglioranzi, B. Musgrave, D. Nicholass, J. Repond, R. Yoshida, Margarita C. K. Mattingly, N. Pavel, A. G. Yagües Molina, S. Antonelli, P. Antonioli, G. Bari, M. Basile, L. Bellagamba, M. Bindi, D. Boscherini, A. Bruni, G. Bruni, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, S. De Pasquale, G. Iacobucci, A. Margotti, R. Nania, A. Polini, L. Rinaldi, G. Sartorelli

Faculty Publications

A new method is employed to measure the neutral current cross section up to Bjorken-x values of one with the ZEUS detector at HERA using an integrated luminosity of 65.1 pb-1 for e+p collisions and 16.7 pb-1 for e-p collisions at √s = 318 GeV and 38.6 pb-1 for e+p collisions at √s = 300 GeV. Cross sections have been extracted for Q2 ≥648 GeV2 and are compared to predictions using different parton density functions. For the highest x bins, the data have a tendency to lie above the expectations using recent parton density function parametrizations. © Springer-Verlag Berlin Heidelberg …


Measurement Of Prompt Photons With Associated Jets In Photoproduction At Hera, S. Chekanov, M. Derrick, S. Magill, S. Miglioranzi, B. Musgrave, D. Nicholass, J. Repond, R. Yoshida, Margarita C. K. Mattingly, N. Pavel, A. G. Yagües Molina, S. Antonelli, P. Antonioli, G. Bari, M. Basile, L. Bellagamba, M. Bindi, D. Boscherini, A. Bruni, G. Bruni, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, S. De Pasquale, G. Iacobucci, A. Margotti, R. Nania, A. Polini, L. Rinaldi, G. Sartorelli Jan 2007

Measurement Of Prompt Photons With Associated Jets In Photoproduction At Hera, S. Chekanov, M. Derrick, S. Magill, S. Miglioranzi, B. Musgrave, D. Nicholass, J. Repond, R. Yoshida, Margarita C. K. Mattingly, N. Pavel, A. G. Yagües Molina, S. Antonelli, P. Antonioli, G. Bari, M. Basile, L. Bellagamba, M. Bindi, D. Boscherini, A. Bruni, G. Bruni, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, S. De Pasquale, G. Iacobucci, A. Margotti, R. Nania, A. Polini, L. Rinaldi, G. Sartorelli

Faculty Publications

The photoproduction of prompt photons, together with an accompanying jet, has been studied in ep collisions at a centre-of-mass energy of 318 GeV with the ZEUS detector at HERA using an integrated luminosity of 77 pb-1. Cross sections were measured for the transverse energy of the photon and the jet larger than 5 and 6 GeV, respectively. The differential γ+jet cross sections were reconstructed as functions of the transverse energy, pseudorapidity and xγobs, the fraction of the incoming photon momentum taken by the photon-jet system. Predictions based on leading-logarithm parton-shower Monte Carlo models and next-to-leading-order (NLO) QCD generally underestimate the …


Search For Stop Production In R-Parity-Violating Supersymmetry At Hera, S. Chekanov, M. Derrick, S. Magill, S. Miglioranzi, B. Musgrave, D. Nicholass, J. Repond, R. Yoshida, Margarita C. K. Mattingly, N. Pavel, A. G. Yagües Molina, S. Antonelli, P. Antonioli, G. Bari, M. Basile, L. Bellagamba, M. Bindi, D. Boscherini, A. Bruni, G. Bruni, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, S. De Pasquale, G. Iacobucci, A. Margotti, R. Nania, A. Polini, L. Rinaldi, G. Sartorelli Jan 2007

Search For Stop Production In R-Parity-Violating Supersymmetry At Hera, S. Chekanov, M. Derrick, S. Magill, S. Miglioranzi, B. Musgrave, D. Nicholass, J. Repond, R. Yoshida, Margarita C. K. Mattingly, N. Pavel, A. G. Yagües Molina, S. Antonelli, P. Antonioli, G. Bari, M. Basile, L. Bellagamba, M. Bindi, D. Boscherini, A. Bruni, G. Bruni, L. Cifarelli, F. Cindolo, A. Contin, M. Corradi, S. De Pasquale, G. Iacobucci, A. Margotti, R. Nania, A. Polini, L. Rinaldi, G. Sartorelli

Faculty Publications

A search for stop production in R-parity-violating supersymmetry has been performed in e+p interactions with the ZEUS detector at HERA, using an integrated luminosity of 65 pb-1. At HERA, the R-parity-violating coupling λ' allows resonant squark production, e+d→̃ q. Since the lowest-mass squark state in most supersymmetry models is the light stop, ̃t, this search concentrated on production of ̃t, followed either by a direct R-parity-violating decay, or by the gauge decay to b̃x1+. No evidence for stop production was found and limits were set on λ'131 as a function of the stop mass in the framework of the minimal …


Multiple Mixed-Type Attractors In A Competition Model, J. M. Cushing, Shandelle M. Henson, Chantel C. Blackburn Jan 2007

Multiple Mixed-Type Attractors In A Competition Model, J. M. Cushing, Shandelle M. Henson, Chantel C. Blackburn

Faculty Publications

We show that a discrete-time, two-species competition model with Ricker (exponential) nonlinearities can exhibit multiple mixed-type attractors. By this is meant dynamic scenarios in which there are simultaneously present both coexistence attractors (in which both species are present) and exclusion attractors (in which one species is absent). Recent studies have investigated the inclusion of life-cycle stages in competition models as a casual mechanism for the existence of these kinds of multiple attractors. In this paper we investigate the role of nonlinearities in competition models without life-cycle stages. © 2007 Taylor & Francis Group, LLC.


Quantum Information Theory, Mark M. Wilde Jan 2007

Quantum Information Theory, Mark M. Wilde

Faculty Publications

Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also …


Anisotropy Studies Around The Galactic Centre At Eev Energies With The Auger Observatory, J. Abraham, M. Aglietta, C. Aguirre, D. Allard, I. Allekotte, P. Allison, C. Alvarez, J. Alvarez-Muñiz, M. Ambrosio, L. Anchordoqui, J. C. Anjos, C. Aramo, K. Arisaka, E. Armengaud, F. Arneodo, F. Arqueros, T. Asch, H. Asorey, B. S. Atulugama, J. Aublin, M. Ave, G. Avila, J. Bacelar, T. Bäcker, D. Badagnani, A. F. Barbosa, H. M.J. Barbosa, M. Barkhausen, D. Barnhill, S. L.C. Barroso, P. Bauleo, J. Beatty, T. Beau Jan 2007

Anisotropy Studies Around The Galactic Centre At Eev Energies With The Auger Observatory, J. Abraham, M. Aglietta, C. Aguirre, D. Allard, I. Allekotte, P. Allison, C. Alvarez, J. Alvarez-Muñiz, M. Ambrosio, L. Anchordoqui, J. C. Anjos, C. Aramo, K. Arisaka, E. Armengaud, F. Arneodo, F. Arqueros, T. Asch, H. Asorey, B. S. Atulugama, J. Aublin, M. Ave, G. Avila, J. Bacelar, T. Bäcker, D. Badagnani, A. F. Barbosa, H. M.J. Barbosa, M. Barkhausen, D. Barnhill, S. L.C. Barroso, P. Bauleo, J. Beatty, T. Beau

Faculty Publications

Data from the Pierre Auger Observatory are analyzed to search for anisotropies near the direction of the Galactic Centre at EeV energies. The exposure of the surface array in this part of the sky is already significantly larger than that of the fore-runner experiments. Our results do not support previous findings of localized excesses in the AGASA and SUGAR data. We set an upper bound on a point-like flux of cosmic rays arriving from the Galactic Centre which excludes several scenarios predicting sources of EeV neutrons from Sagittarius A. Also the events detected simultaneously by the surface and fluorescence detectors …


An Upper Limit To The Photon Fraction In Cosmic Rays Above 1019 Ev From The Pierre Auger Observatory, J. Abraham, M. Aglietta, C. Aguirre, D. Allard, I. Allekotte, P. Allison, C. Alvarez, J. Alvarez-Muñiz, M. Ambrosio, L. Anchordoqui, J. C. Anjos, C. Aramo, K. Arisaka, E. Armengaud, F. Arneodo, F. Arqueros, T. Asch, H. Asorey, B. S. Atulugama, J. Aublin, M. Ave, G. Avila, J. Bacelar, T. Bäcker, D. Badagnani, A. F. Barbosa, H. M.J. Barbosa, M. Barkhausen, D. Barnhill, S. L.C. Barroso, P. Bauleo, J. Beatty, T. Beau Jan 2007

An Upper Limit To The Photon Fraction In Cosmic Rays Above 1019 Ev From The Pierre Auger Observatory, J. Abraham, M. Aglietta, C. Aguirre, D. Allard, I. Allekotte, P. Allison, C. Alvarez, J. Alvarez-Muñiz, M. Ambrosio, L. Anchordoqui, J. C. Anjos, C. Aramo, K. Arisaka, E. Armengaud, F. Arneodo, F. Arqueros, T. Asch, H. Asorey, B. S. Atulugama, J. Aublin, M. Ave, G. Avila, J. Bacelar, T. Bäcker, D. Badagnani, A. F. Barbosa, H. M.J. Barbosa, M. Barkhausen, D. Barnhill, S. L.C. Barroso, P. Bauleo, J. Beatty, T. Beau

Faculty Publications

An upper limit of 16% (at 95% c.l.) is derived for the photon fraction in cosmic rays with energies greater than 1019 eV, based on observations of the depth of shower maximum performed with the hybrid detector of the Pierre Auger Observatory. This is the first such limit on photons obtained by observing the fluorescence light profile of air showers. This upper limit confirms and improves on previous results from the Haverah Park and AGASA surface arrays. Additional data recorded with the Auger surface detectors for a subset of the event sample support the conclusion that a photon origin of …


Life Without Water: Expression Of Plant Lea Genes By An Anhydrobiotic Arthropod, Steven C. Hand, Dana Jones, Michael A. Menze, Trudy L. Witt Jan 2007

Life Without Water: Expression Of Plant Lea Genes By An Anhydrobiotic Arthropod, Steven C. Hand, Dana Jones, Michael A. Menze, Trudy L. Witt

Faculty Publications

Anhydrobiotic animals protect cellular architecture and metabolic machinery in the dry state, yet the molecular repertoire supporting this profound dehydration tolerance is not fully understood. For the desiccation-tolerant crustacean, Artemia franciscana, we report differential expression of two distinct mRNAs encoding for proteins that share sequence similarities and structural features with late-embryogenesis abundant (LEA) proteins originally discovered in plants. Bioinformatic analyses support assignment of the LEA proteins from A. franciscana to group 3. This eucoelomate species is the most highly evolved animal for which LEA gene expression has been reported. It is becoming clear that an ensemble of micromolecules and macromolecules …


In Their Own Image: The Public Library Collection As A Reflection Of Its Donors, Suzanne Marie Stauffer Jan 2007

In Their Own Image: The Public Library Collection As A Reflection Of Its Donors, Suzanne Marie Stauffer

Faculty Publications

No abstract provided.


Quasicontinuous Functions, Domains, And Extended Calculus, Rodica Cazacu, Jimmie D. Lawson Jan 2007

Quasicontinuous Functions, Domains, And Extended Calculus, Rodica Cazacu, Jimmie D. Lawson

Faculty Publications

One of the aims of domain theory is the construction of an embedding of a given structure or data type as the maximal or "ideal" elements of an enveloping domain of "approximations," sometimes called a domain environment. Typically the goal is to provide a computational model or framework for recursive and algorithmic reasoning about the original structure. In this paper we consider the function space of (natural equivalence classes of) quasicontinuous functions from a locally compact space X into L, an n-fold product of the extended reals [-∞, ∞] (more generally, into a bicontinuous lattice). We show that the domain …


Supports Unipotents De Faisceaux Caractères, Pramod N. Achar, Anne Marie Aubert Jan 2007

Supports Unipotents De Faisceaux Caractères, Pramod N. Achar, Anne Marie Aubert

Faculty Publications

Soit [formula omitted] un groupe algébrique réductif sur la clôture algébrique d’un corps fini [formula omitted] et défini sur ce dernier. L’existence du support unipotent d’un caractère irréductible du groupe fini [formula omitted], ou d’un faisceau caractère de [formula omitted], a été établie dans différents cas par Lusztig, Geck et Malle, et le second auteur. Dans le présent article, nous démontrons que toute classe unipotente sur laquelle la restriction du caractère ou du faisceau caractère donné est non nulle est contenue l’adhérence de Zariski du support unipotent de ce dernier. Pour établir ce résultat, nous étudions certaines représentations des groupes …


On Symplectic 4-Manifolds With Prescribed Fundamental Group, Scott Baldridge, Paul Kirk Jan 2007

On Symplectic 4-Manifolds With Prescribed Fundamental Group, Scott Baldridge, Paul Kirk

Faculty Publications

In this article we study the problem of minimizing aχ + bσ on the class of all symplectic 4-manifolds with prescribed fundamental group G (χ is the Euler characteristic, σ is the signature, and a, b ∈ ℝ), focusing on the important cases χ, χ + σ and 2 + 3σ. In certain situations we can derive lower bounds for these functions and describe symplectic 4-manifolds which are minimizers. We derive an upper bound for the minimum of χ and χ + σ in terms of the presentation of G. © Swiss Mathematical Society. χ


Numerical Implementation Of The Variational Formulation For Quasi-Static Brittle Fracture, Blaise Bourdin Jan 2007

Numerical Implementation Of The Variational Formulation For Quasi-Static Brittle Fracture, Blaise Bourdin

Faculty Publications

This paper presents the analysis and implementation of the variational formulation of quasi-static brittle fracture mechanics proposed by G. A. Francfort and J.-J. Marigo in 1998. We briefly present the model itself, and its variational approximation in the sense of Γ-convergence. We propose a numerical algorithm based on Alternate Minimizations and prove its convergence under restrictive assumptions. We establish a new necessary condition for optimality for the entire time evolution from which we derive the Backtracking algorithm. We give some elements of analysis of the Backtracking algorithm on a simple problem. We present realistic numerical simulations of a traction experiment …