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2006

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Articles 3841 - 3870 of 5872

Full-Text Articles in Physical Sciences and Mathematics

A Multigrid Method For Variable Coefficient Maxwell's Equations, Jim E. Jones, Barry Lee Jan 2006

A Multigrid Method For Variable Coefficient Maxwell's Equations, Jim E. Jones, Barry Lee

Mathematics and System Engineering Faculty Publications

This paper presents a multigrid method for solving variable coefficient Maxwell's equations. The novelty in this method is the use of interpolation operators that do not produce multilevel commutativity complexes that lead to multilevel exactness. Rather, the effects of multilevel exactness are built into the level equations themselves-on the finest level using a discrete T -V formulation and on the coarser grids through the Galerkin coarsening procedure of a T - V formulation. These built-in structures permit the levelwise use of an effective hybrid smoother on the curl-free near-nullspace components and permit the development of interpolation operators for handling the …

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Differential Inclusions On Proximate Retracts Of Separable Hilbert Spaces, Ravi P. Agarwal, Donal O'Regan Jan 2006

Differential Inclusions On Proximate Retracts Of Separable Hilbert Spaces, Ravi P. Agarwal, Donal O'Regan

Mathematics and System Engineering Faculty Publications

New existence results are presented which guarantee the existence of viable solutions to differential inclusions in separable Hilbert spaces. Our results rely on the existence of maximal solutions for an appropriate differential equation in the real case. Copyright ©2006 Rocky Mountain Mathematics Consortium.

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Generalized Flow Invariance For Differential Inclusions, Tarun Gnana Bhaskar, V. Lakshmikantham Jan 2006

Generalized Flow Invariance For Differential Inclusions, Tarun Gnana Bhaskar, V. Lakshmikantham

Mathematics and System Engineering Faculty Publications

We introduce a generalized notion of invariance for differential inclusions, using a proximal aiming condition in terms of proximal normals. A set of sufficient conditions for the weak and strong invariance in the generalized sense are presented.

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Propagation Speed Of Runaway Electron Avalanches, Lee M. Coleman, Joseph R. Dwyer Jan 2006

Propagation Speed Of Runaway Electron Avalanches, Lee M. Coleman, Joseph R. Dwyer

Aerospace, Physics, and Space Science Faculty Publications

Simulations of relativistic runaway breakdown (RRB) are performed as functions of both time and space, resulting in explicit calculations of e-folding lengths (λ) and times (τ). The ratio of λ to τ agrees well with the speed of the avalanche, which ranges from 2.61 × 108 m sˉ¹ to 2.72 × 108 m sˉ¹. Thus, using the speed of light, c, for the ratio of λ to τ can cause a 10% error when estimating λ from τ. A 10% error in λ will cause a factor of three error in the predicted number of runaway electrons for every ten …

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Better Understanding Of Resonance Through Modeling And Visualization, Daniel O. Ludwigsen, Cayla Jewett, Matthew Jusczcyk Jan 2006

Better Understanding Of Resonance Through Modeling And Visualization, Daniel O. Ludwigsen, Cayla Jewett, Matthew Jusczcyk

Physics Presentations And Conference Materials

Students encounter cavity resonance and waveguide phenomena in acoustics courses and texts, where the study is usually limited to cases with simple geometries: parallelepipeds, cylinders, and spheres. Long-wavelength approximations help with situations of more complexity, as in the classic Helmholtz resonator. At Kettering University, we are beginning to employ finite element modeling in our acoustics classes to help undergraduates better understand the acoustic modes of actual structures. This approach to the time-independent wave equation (the Helmholtz equation) was first used in a research and measurements class to investigate two classic resonance problems. The first problem was a study of resonance …

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Pulsar Studies Of Tiny-Scale Structure In The Neutral Ism, Joel M. Weisberg, S. Stanimirovi´C Jan 2006

Pulsar Studies Of Tiny-Scale Structure In The Neutral Ism, Joel M. Weisberg, S. Stanimirovi´C

Faculty Work

We describe the use of pulsars to study small-scale neutral structure in the interstellar medium (ISM). Because pulsars are high velocity objects, the pulsarEarth line of sight sweeps rapidly across the ISM. Multiepoch measurements of pulsar interstellar spectral line spectra therefore probe ISM structures on AU scales. We review pulsar measurements of small scale structure in HI and OH and compare these results with those obtained through other techniques.

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Restricted Signed Permutations Counted By The Schröder Numbers, Eric S. Egge Jan 2006

Restricted Signed Permutations Counted By The Schröder Numbers, Eric S. Egge

Faculty Work

Gire, West, and Kremer have found ten classes of restricted permutations counted by the large Schröder numbers, no two of which are trivially Wilf-equivalent. In this paper we enumerate eleven classes of restricted signed permutations counted by the large Schröder numbers, no two of which are trivially Wilf-equivalent. We obtain five of these enumerations by elementary methods, five by displaying isomorphisms with the classical Schröder generating tree, and one by giving an isomorphism with a new Schröder generating tree. When combined with a result of Egge and a computer search, this completes the classification of restricted signed permutations counted by …

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Sequence Of Tuffs Between The Kbs Tuff And The Chari Tuff In The Turkana Basin, Kenya And Ethiopia, Francis H. Brown, Bereket Haileab, Ian Mcdougall Jan 2006

Sequence Of Tuffs Between The Kbs Tuff And The Chari Tuff In The Turkana Basin, Kenya And Ethiopia, Francis H. Brown, Bereket Haileab, Ian Mcdougall

Faculty Work

No abstract provided.

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Presentations Of Finitely Generated Cancellative Commutative Monoids And Nonnegative Solutions Of Systems Of Linear Equations, Scott T. Chapman, Pedro A. García Sánchez, David Llena, José Carlos Rosales Jan 2006

Presentations Of Finitely Generated Cancellative Commutative Monoids And Nonnegative Solutions Of Systems Of Linear Equations, Scott T. Chapman, Pedro A. García Sánchez, David Llena, José Carlos Rosales

Mathematics Faculty Research

Varying methods exist for computing a presentation of a finitely generated commutative cancellative monoid. We use an algorithm of Contejean and Devie [An efficient incremental algorithm for solving systems of linear diophantine equations, Inform. and Comput. 113 (1994) 143–172] to show how these presentations can be obtained from the nonnegative integer solutions to a linear system of equations. We later introduce an alternate algorithm to show how such a presentation can be efficiently computed from an integer basis.

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Restoration Of Frequency-Dependent Depression Of The H-Reflex By Passive Exercise In Spinal Rats, N. B. Reese, R. D. Skinner, D. Mitchell, C. C. Yates, Christina B. Cooley, T. S. Kiser, E. E. García-Rill Jan 2006

Restoration Of Frequency-Dependent Depression Of The H-Reflex By Passive Exercise In Spinal Rats, N. B. Reese, R. D. Skinner, D. Mitchell, C. C. Yates, Christina B. Cooley, T. S. Kiser, E. E. García-Rill

Chemistry Faculty Research

Hyper-reflexia, measured as a decrease of low frequency-dependent depression of the H-reflex, is known to occur in both humans and animals after spinal cord injury (SCI). Previous studies have shown that passive exercise for 3 months could be used to restore low frequency-dependent depression of the H-reflex after SCI. To determine the effects of various periods of time on the ability of passive exercise to restore low frequency-dependent depression of the H-reflex. Spinal Cord Injury Mobilization Program of the Center for Translational Neuroscience, the research arm of the Jackson T Stephens Spine and Neuroscience Institute, Little Rock, AR, USA. Adult …

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Composable M&S Web Services For Net-Centric Applications, Charles D. Turnitsa Jan 2006

Composable M&S Web Services For Net-Centric Applications, Charles D. Turnitsa

Faculty Bibliography

Service-oriented architectures promise easier integration of functionality in the form of web services into operational systems than is the case with interface-driven system-oriented approaches. Although the Extensible Markup Language (XML) enables a new level of interoperability among heterogeneous systems, XML alone does not solve all interoperability problems users contend with when integrating services into operational systems. To manage the basic challenges of service interoperation, we developed the Levels of Conceptual Interoperability Model (LCIM) to enable a layered approach and gradual solution improvements. Furthermore, we developed methods of model-based data engineering (MBDE) for semantically consistent service integration as a first step. …

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Introducing Semantics In Web Personalization: The Role Of Ontologies, Magdalini Eirinaki, Dimitrios Mavroeidis, George Tsatsaronis, Michalis Vazirgiannis Jan 2006

Introducing Semantics In Web Personalization: The Role Of Ontologies, Magdalini Eirinaki, Dimitrios Mavroeidis, George Tsatsaronis, Michalis Vazirgiannis

Faculty Publications

Web personalization is the process of customizing a web site to the needs of each specific user or set of users. Personalization of a web site may be performed by the provision of recommendations to the users, high-lighting/adding links, creation of index pages, etc. The web personalization systems are mainly based on the exploitation of the navigational patterns of the web site’s visitors. When a personalization system relies solely on usage-based results, however, valuable information conceptually related to what is finally recommended may be missed. The exploitation of the web pages’ semantics can considerably improve the results of web usage …

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Spectroscopic And Thermodynamic Analysis Of Co Rebinding And Photodissociation From Fe (Ii) Lpo, Dustin Michael Lockney Jan 2006

Spectroscopic And Thermodynamic Analysis Of Co Rebinding And Photodissociation From Fe (Ii) Lpo, Dustin Michael Lockney

Theses, Dissertations and Capstones

Lactoperoxidase (LPO) is a heme peroxidase found in tears, milk, saliva, and cervical fluids that has bactericidal activity. The bactericidal nature of LPO is due to its ability to oxidize halides and pseudohalides in the presence of H2O2. Full understanding of the catalytic cycle of LPO requires detailed characterization of the mechanism of ligand binding to the enzyme active site. This includes a dynamic and energetic description of conformational changes associated with heme-ligand interactions. Photoacoustic calorimetry is applied to determine the kinetics and magnitude of reaction volume and enthalpy changes for CO dissociation from CO-LPO. Time-resolved absorption spectroscopy was used …

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Satellite Image Based Classification Mapping For Spatially Analyzing West Virginia Corridor H Urban Development, Chandra L. Inglis-Smith Jan 2006

Satellite Image Based Classification Mapping For Spatially Analyzing West Virginia Corridor H Urban Development, Chandra L. Inglis-Smith

Theses, Dissertations and Capstones

The study area for this project is Corridor H, a designated Appalachian Development Highway located in Lewis, Upshur, Barbour Counties which are part of the Appalachian Plateau Province, and Randolph, Tucker, Grant and Hardy Counties which are Part of the Ridge and Valley Province in West Virginia. The region has a long history of occupation and a traditional economic structure consisting of mainly agriculture, timbering and coal mining. The final objective of the study was to perform change detection, using two Landsat datasets obtained from the USGS of the study area from 1987 and 2005 to determine if economic development, …

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Geometric Field Stability And Normal Field Curvature Of Solution Sets Of Ordinary Differential Equations In Two Variables, Leslie L. Kerns Jan 2006

Geometric Field Stability And Normal Field Curvature Of Solution Sets Of Ordinary Differential Equations In Two Variables, Leslie L. Kerns

Theses, Dissertations and Capstones

The classical linearization approach to stability theory determines whether or not a system is stable in the vicinity of its equilibrium points. This classical approach partly depends on the validity of the linear approximation. The definition of stability developed in this article takes a different approach and uses a curvature function to assess the relative locations of solutions within a field of solutions (the underlying solution set of the ODE). The present approach involves calculations that directly yield stability information, without having to enter into the often lengthy eigenvalue-eigenvector method. The present results both complement and are compatible with the …

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The Dynamics Of Newton's Method On Cubic Polynomials, Shannon N. Miller Jan 2006

The Dynamics Of Newton's Method On Cubic Polynomials, Shannon N. Miller

Theses, Dissertations and Capstones

The field of dynamics is itself a huge part of many branches of science, including the motion of the planets and galaxies, changing weather patterns, and the growth and decline of populations. Consider a function f and pick x0 in the domain of f . If we iterate this function around the point x0, then we will have the sequence x0, f (x0), f (f (x0)), f (f (f (x0))), ..., which becomes our dynamical system. We are essentially interested in the end behavior of this system. Do …

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Solving Higher Order Dynamic Equations On Time Scales As First Order Systems, Elizabeth R. Duke Jan 2006

Solving Higher Order Dynamic Equations On Time Scales As First Order Systems, Elizabeth R. Duke

Theses, Dissertations and Capstones

Time scales calculus seeks to unite two disparate worlds: that of differential, Newtonian calculus and the difference calculus. As such, in place of differential and difference equations, time scales calculus uses dynamic equations. Many theoretical results have been developed concerning solutions of dynamic equations. However, little work has been done in the arena of developing numerical methods for approximating these solutions. This thesis work takes a first step in obtaining numerical solutions of dynamic equations|a protocol for writing higher-order dynamic equations as systems of first-order equations. This process proves necessary in obtaining numerical solutions of differential equations since the Runge-Kutta …

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Scanning Probe Microscopy And Oxidation Of Silicon At Breakdown Voltages, Thabo Gcwabaza Jan 2006

Scanning Probe Microscopy And Oxidation Of Silicon At Breakdown Voltages, Thabo Gcwabaza

Theses, Dissertations and Capstones

The growing importance of Scanning Probe Microscopy (SPM) as a tool for nanofabrication is opening many avenues in lithography nano-science. One type of Scanning Probe Lithography involves electrochemistry at the tip/substrate interface. Atomic Force Microscopy (AFM) with conductive tips and substrates was used in our study to both pattern and image those patterns on silicon substrates. Our long-term objective is to design and fabricate micron-scale patterns of nanometer sized spots on silicon chips that can serve as attachment sites for DNA based nano-arrays. In order to fabricate such substrates a study of the underlying electrochemistry was required. A most promising …

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Determining Biogeochemical Assemblages On The Stony River, Grant County, Wv, Using Fuzzy C-Means And K-Nearest Neighbors Clustering, M. Joseph Hughes Jan 2006

Determining Biogeochemical Assemblages On The Stony River, Grant County, Wv, Using Fuzzy C-Means And K-Nearest Neighbors Clustering, M. Joseph Hughes

Theses, Dissertations and Capstones

Periphyton assemblages were assessed on the Stony River, a high-gradient stream in the Potomac drainage of Grant County, WV. Periphyton samples were collected from nine sites along the mainstem and in two tributaries. Chlorophyll-a, dry weight, taxonomic identifications, and bioaccumulated metals concentrations data were compiled. These data were related to water quality parameters measured at each site during the study. Fuzzy C-means and k-nearest neighbor clustering on the combined, normalized dataset produced similar results. Clustering separated species occurring in each tributary from each other and those dominating the mainstem. Nearly every bioaccumulated metal was associated with one of these tributary …

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Farnesylated Lamins, Progeroid Syndromes And Farnesyl Transferase Inhibitors, Michael Sinensky, A. E. Rusinol Jan 2006

Farnesylated Lamins, Progeroid Syndromes And Farnesyl Transferase Inhibitors, Michael Sinensky, A. E. Rusinol

Faculty Publications, Biological Sciences

Three mammalian nuclear lamin proteins, lamin B1, lamin B2 and the lamin A precursor, prelamin A, undergo canonical farnesylation and processing at CAAX motifs. In the case of prelamin A, there is an additional farnesylation-dependent endoproteolysis, which is defective in two congenital diseases: Hutchinson-Gilford progeria (HGPS) and restrictive dermopathy (RD). These two diseases arise respectively from defects in the prelamin A substrate and the enzyme (ZmpSte24) that processes it. Recent work has shed light on the roles of the lamin proteins and the enzymes involved in their farnesylation-dependent maturation. Other experimental work, including mouse model studies, have examined the possibility …

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Dna Damage Responses In Progeroid Syndromes Arise From Defective Maturation Of Prelamin A, Michael Sinensky, Y. Liu, A. Rusinol, Y. Wang, Y. Zou Jan 2006

Dna Damage Responses In Progeroid Syndromes Arise From Defective Maturation Of Prelamin A, Michael Sinensky, Y. Liu, A. Rusinol, Y. Wang, Y. Zou

Faculty Publications, Biological Sciences

The genetic diseases Hutchinson-Gilford progeria syndrome (HGPS) and restrictive dermopathy (RD) arise from accumulation of farnesylated prelamin A because of defects in the lamin A maturation pathway. Both of these diseases exhibit symptoms that can be viewed as accelerated aging. The mechanism by which accumulation of farnesylated prelamin A leads to these accelerated aging phenotypes is not understood. Here we present evidence that in HGPS and RD fibroblasts, DNA damage checkpoints are persistently activated because of the compromise in genomic integrity. Inactivation of checkpoint kinases Ataxia-telangiectasia-mutated (ATM) and ATR (ATM- and Rad3-related) in these patient cells can partially overcome their …

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Hydrodynamic Description Of The Adiabatic Piston, Alejandro Garcia, M. M. Mansour Jan 2006

Hydrodynamic Description Of The Adiabatic Piston, Alejandro Garcia, M. M. Mansour

Faculty Publications

A closed macroscopic equation for the motion of the two-dimensional adiabatic piston is derived from standard hydrodynamics. It predicts a damped oscillatory motion of the piston towards a final rest position, which depends on the initial state. In the limit of large piston mass, the solution of this equation is in quantitative agreement with the results obtained from both hard disk molecular dynamics and hydrodynamics. The explicit forms of the basic characteristics of the piston’s dynamics, such as the period of oscillations and the relaxation time, are derived. The limitations of the theory’s validity, in terms of the main system …

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Estimating Hydrodynamic Quantities In The Presence Of Microscopic Fluctuations, Alejandro Garcia Jan 2006

Estimating Hydrodynamic Quantities In The Presence Of Microscopic Fluctuations, Alejandro Garcia

Faculty Publications

This paper discusses the evaluation of hydrodynamic variables in the presence of spontaneous fluctuations, such as in molecular simulations of fluid flows. The principal point is that hydrodynamic variables such as fluid velocity and temperature must be defined in terms of mechanical variables such as momentum and energy density). Because these relations are nonlinear and because fluctuations of mechanical variables are correlated, care must be taken to avoid introducing a bias when evaluating means, variances, and correlations of hydrodynamic variables. The unbiased estimates are formulated; some alternative, incorrect approaches are presented as cautionary warnings. The expressions are verified by numerical …

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A Deep Kinematic Survey Of Planetary Nebulae In The Andromeda Galaxy Using The Planetary Nebula Spectrograph, H. R. Merrett, M. R. Merrifield, N. G. Douglas, K. Kuijken, Aaron J. Romanowsky, N. R. Napolitano, M. Arnaboldi, M. Capaccioli, K. C. Freeman, O. Gerhard, L. Coccato, D. Carter, N. W. Evans, M. I. Wilkinson, C. Halliday, T. J. Bridges Jan 2006

A Deep Kinematic Survey Of Planetary Nebulae In The Andromeda Galaxy Using The Planetary Nebula Spectrograph, H. R. Merrett, M. R. Merrifield, N. G. Douglas, K. Kuijken, Aaron J. Romanowsky, N. R. Napolitano, M. Arnaboldi, M. Capaccioli, K. C. Freeman, O. Gerhard, L. Coccato, D. Carter, N. W. Evans, M. I. Wilkinson, C. Halliday, T. J. Bridges

Faculty Publications

We present a catalogue of positions, magnitudes and velocities for 3300 emission-line objects found by the Planetary Nebula Spectrograph in a survey of the Andromeda galaxy, M31. Of these objects, 2615 are found likely to be planetary nebulae (PNe) associated with M31. The survey area covers the whole of M31's disc out to a radius of Graphic. Beyond this radius, observations have been made along the major and minor axes, and the Northern Spur and Southern Stream regions. The calibrated data have been checked for internal consistency and compared with other catalogues. With the exception of the very central, high …

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Planetary Nebula Velocities In The Disc And Bulge Of M31, C. Halliday, D. Carter, T. J. Bridges, Z. C. Jackson, M. I. Wilkinson, D. P. Quinn, N. W. Evans, N. G. Douglas, H. R. Merrett, Aaron J. Romanowsky, K. Kuijken, M. J. Irwin Jan 2006

Planetary Nebula Velocities In The Disc And Bulge Of M31, C. Halliday, D. Carter, T. J. Bridges, Z. C. Jackson, M. I. Wilkinson, D. P. Quinn, N. W. Evans, N. G. Douglas, H. R. Merrett, Aaron J. Romanowsky, K. Kuijken, M. J. Irwin

Faculty Publications

We present radial velocities for a sample of 723 planetary nebulae in the disc and bulge of M31, measured using the WYFFOS fibre spectrograph on the William Herschel Telescope. Velocities are determined using the [O III] λ5007 emission line. Rotation and velocity dispersion are measured to a radius of 50 arcmin (11.5 kpc), the first stellar rotation curve and velocity dispersion profile for M31 to such a radius. Our kinematics are consistent with rotational support at radii well beyond the bulge effective radius of 1.4 kpc, although our data beyond a radius of 5 kpc are limited. We present tentative …

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Wide-Field Kinematics Of Globular Clusters In The Leo I Group, G. Bergond, S. E. Zepf, Aaron J. Romanowsky, R. M. Sharples, K. L. Rhode Jan 2006

Wide-Field Kinematics Of Globular Clusters In The Leo I Group, G. Bergond, S. E. Zepf, Aaron J. Romanowsky, R. M. Sharples, K. L. Rhode

Faculty Publications

We present wide-field spectroscopy of globular clusters around the Leo I group galaxies NGC 3379 and NGC 3384 using the FLAMES multi-fibre instrument at the VLT. We obtain accurate radial velocities for 42 globular clusters (GCs) in total, 30 for GCs around the elliptical NGC 3379, eight around the lenticular NGC 3384, and four which may be associated with either galaxy. These data are notable for their large radial range extending from 0$\farcm$7 to 14$\farcm$5 (2 to 42 kpc) from the centre of NGC 3379, and small velocity uncertainties of about 10 km s-1. We combine our sample of 30 …

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The Araucaria Project. An Accurate Distance To Ngc 6822 From Near-Infrared Photometry Of Cepheid Variables, W. Gieren, G. Pietrzyński, K. Nalewajko, I. Soszyński, F. Bresolin, R.-P. Kudritzki, D. Minniti, Aaron J. Romanowsky Jan 2006

The Araucaria Project. An Accurate Distance To Ngc 6822 From Near-Infrared Photometry Of Cepheid Variables, W. Gieren, G. Pietrzyński, K. Nalewajko, I. Soszyński, F. Bresolin, R.-P. Kudritzki, D. Minniti, Aaron J. Romanowsky

Faculty Publications

We have measured near-infrared magnitudes in the J and K bands for 56 Cepheid variables in the Local Group galaxy NGC 6822 with well-determined periods and optical light curves in the V and I bands. Using the template light-curve approach of Soszyński and coworkers, accurate mean magnitudes were obtained from these data, which allowed us to determine with unprecedented accuracy the distance to NGC 6822 from a multiwavelength period-luminosity solution in the VIJK bands. From our data, we obtain a distance to NGC 6822 of (m - M)0 = 23.312 ± 0.021 (random error) mag, with an additional systematic uncertainty …

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Technology Professional Development: Long-Term Effects On Teacher Self-Efficacy, George R. Watson Jan 2006

Technology Professional Development: Long-Term Effects On Teacher Self-Efficacy, George R. Watson

Educational Foundations and Technology

The West Virginia K-12 RuralNet Project was an NSF funded program to train inservice teachers on integrating the Internet into science and mathematics curriculum. The program involved training inservice teachers through an intensive summer workshop and supplemental online courses. This study examines the effects of the project on the long-term self-efficacy of inservice teachers and their use of the Internet in the classroom. The specific research questions addressed are: Do professional development programs affect the long-term self-efficacy of inservice teachers? Did the addition of online courses and follow-up to the program affect self-efficacy levels? Finally, do certain external factors, specifically …

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Undergraduates' Use Of Mathematics Textbooks, Bret Benesh, Tim Boester, Aaron Weinberg, Eimilie Wiesner Jan 2006

Undergraduates' Use Of Mathematics Textbooks, Bret Benesh, Tim Boester, Aaron Weinberg, Eimilie Wiesner

Mathematics Faculty Publications

No abstract provided.

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Universal Kernels, Charles A. Micchelli, Yuesheng Xu, Haizhang Zhang Jan 2006

Universal Kernels, Charles A. Micchelli, Yuesheng Xu, Haizhang Zhang

Mathematics - All Scholarship

In this paper we investigate conditions on the features of a continuous kernel so that it may approximate an arbitrary continuous target function uniformly on any compact subset of the input space. A number of concrete examples are given of kernels with this universal approximating property.

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