Physical Sciences and Mathematics Commons^™

On Abel-Gontscharoff-Gould's Polynomials, Tian-Xiao He, Leetsch Hsu, Peter Shiue

Tian-Xiao He

In this paper a connective study of Gould’s annihilation coefficients and Abel-Gontscharoff polynomials is presented. It is shown that Gould’s annihilation coefficients and Abel-Gontscharoff polynomials are actually equivalent to each other under certain linear substitutions for the variables. Moreover, a pair of related expansion formulas involving Gontscharoff’s remainder and a new form of it are demonstrated, and also illustrated with several examples.

Ultrafast Two-Photon Free Induction Decay, D. Keusters, Peifang Tian, W. Warren

Peifang Tian

No abstract provided.

Space Ship Earth – Clinic In Forest, Nat Quansah

Nat Quansah

No abstract provided.

A Comparison Of Semi-Analytical And Numerical Solutions For The Microwave Heating Of A Lossy Material In A Three-Dimensional Waveguide, Prof. Tim Marchant

Tim Marchant

The microwave heating of a three-dimensional block in an infinitely long rectangular waveguide propagating the TE10 mode is considered. The electrical conductivity (the dielectric loss) is assumed to be a function of temperature, and modelled by the Arrhenius law. A coupled set of equations is obtained that describes the electromagnetic fields and the temperature distribution in the block. The numerical solutions of this problem are obtained by two methods, the well known FD-TD scheme and a frequency domain method which makes the further assumption that a single TE10 mode exists in the waveguide and material. The results show that an …

No Frictional Heat Along The San Gabriel Fault, California: Evidence From Fission-Track Thermochronology, M.A. D’Alessio, Ann Blythe, R Bu¨Rgmann

Ann Blythe

Large earthquakes generate frictional heat, and the magnitude of heating is related to the slip magnitude, the applied effective normal stress, and the frictional strength of the fault. We looked for evidence of this heating in apatite fission-track age and track-length distributions of samples from adjacent to and within the San Gabriel fault zone in southern California. The fault is thought to be an abandoned major trace of the San Andreas fault system active from 13 to 4 Ma and has since been exhumed from depths of 2–5 km. At our sample locality, as much as 40 km of total …

Boundary-Type Quadrature And Boundary Element Method, Tian-Xiao He

Tian-Xiao He

In this paper, we apply a boundary-type quadrature technique to derive a type of boundary element scheme, which is used to solve the boundary-value problems of partial differential equations.Numerical examples for solving the exterior boundary-value problem of Helmholtz equation by using the spline approximation and the spline wavelet approximation are given.

Committee On Climate Change And Sustainable Development: 2002 Annual Report, John Dernbach

John C. Dernbach

No abstract provided.

Micro Thermoelectric Cooler Fabrication: Growth And Characterization Of Patterned Sb2te3 And Bi2te3 Films ., Luciana Da Silva, M. Kaviany, A. Dehennis, Jeffrey Dyck

Jeffrey Dyck

A column-type micro thermoelectric cooler is being fabricated using p-type Sb2Te3 and n-type Bi2Te3 films (approximately 4 μm thick). The films are grown by thermal co-evaporation and patterned on Cr/Au/Ti/Pt (hot) connectors, which are deposited onto a silicon dioxide coated wafer. The column height is limited by control of the Te deposition rate. Although a high substrate temperature during thermoelectric film deposition is desired, it has been limited by the degradation of the photoresist used for patterning. The measured Seebeck coefficient and electrical resistivity of the thermoelectric films are reported, and preliminary results show that excess tellurium increases the Seebeck …

Analytical Upstream Collocation Solution Of A Forced Steady-State Convection-Diffusion Equation, Stephen Brill

Stephen H. Brill

We give herein formulas for the solution of the Hermite collocation discretization of a nonhomogeneous steady-state convection-diffusion equation in one spatial dimension and with constant coefficients, defined on a uniform mesh, with Dirichlet boundary conditions. The accuracy of the method is enhanced by employing "upsteam weighting" of the convective term in an optimal way. We discuss also the issue of where to optimally sample the forcing function. Computational examples illustrate the efficacy of the optimal upstream weighting technique combined with optimal sampling of the forcing function.

Oil Droplet Detachment From Metal Surfaces As Affected By And Applied Potential, A. Rowe, A. Davis, R. Counce, Samuel Morton, D. Depaoli, M. Hu

Samuel A Morton

No abstract provided.

A Solvent-Free Claisen Condensation Reaction For The Organic Laboratory, John Esteb, Matthew Stockton

John Esteb

An experiment involving the Claisen condensation reaction for a first-year organic chemistry laboratory is presented. Claisen condensations are routinely covered in organic textbooks but owing to the long reaction times required to reach equilibrium in solution they are seldom explored in the undergraduate teaching laboratory. In this experiment, potassium tert-butoxide and ethyl phenylacetate are heated to 100 °C for 30 minutes under solvent-free conditions to produce 2,4-diphenyl acetoacetate in 80% yield. The solvent-free nature of this procedure greatly reduces the quantity of waste generated by students relative to typical carbonyl condensation experiments.

Note:Link is to the article in a …

Rating And Ranking Versus Compliance Analysis; Defuzzification Techniques For Conceptual Design Evaluation, Caroline Lubert, D. Verma

Caroline P Lubert

No abstract provided.

A Solvent-Free Oxidation Of Alcohols In An Organic Laboratory, John Esteb, Michael Schelle, Anne Wilson

John Esteb

An oxidation experiment for a first-year organic chemistry class is presented. This oxidation utilizes a solid mixture of CuSO4•5H2O and KMnO4 prepared by mortar and pestle. The oxidations take place under solvent-free conditions and near quantitative yields are obtained for the reactions. Thin-layer chromatography is used to monitor the progress of the reaction. This experiment provides for the simple oxidation of a secondary alcohol to a ketone using a relatively nontoxic oxidizing agent under solvent-free conditions.

Note:Link is to the article in a subscription database available to users affiliated with Butler University. Appropriate login information will be required for …

Femtosecond Pulse Shaping Approaches To Multiphoton Imaging., W. Warren, W. Wagner, Peifang Tian, T. Ye

Peifang Tian

No abstract provided.

Transport Coefficients Of Titanium-Doped Sb2te3 Crystals., P. Svanda, P. LošŤÁK, Č. Drašar, Jeffrey Dyck

Jeffrey Dyck

Titanium-doped single crystals (cTi = 0 to 2×1020 atoms cm-3) were prepared from the elements Sb, Ti, and Te of 5N purity by a modified Bridgman method. The obtained crystals were characterized by measurements of the temperature dependence of the electrical resistivity, Hall coefficient, Seebeck coefficient and thermal conductivity in the temperature range of 5-300 K. It was observed that with an increasing Ti content in the samples the electrical resistance, the Hall coefficient and the Seebeck coefficient increase. This means that the incorporation of Ti atoms into the Sb2Te3 crystal structure results in a decrease in the concentration of …

Thermodynamic Model For The Prediction Of Contact Angle Of Oil Droplets On Solid Surfaces In Sds Solutions, Samuel Morton, D. Keffer, R. Counce, D. Depaoli, M. Hu

Samuel A Morton

No abstract provided.

Length-Preserving Transformations On Polygons, Brad Ballinger

Brad Ballinger

Neuroindices Of Cognitive Workload: Neuroimaging, Pupillometric, And Event-Related Potential Studies Of Brain Work, Marcel Adam Just, Patricia A. Carpenter, Akira Miyake

Marcel Adam Just

No abstract provided.

Scalability And Schedulability In Large, Coordinated, Distributed Robot Systems, John D. Sweeney, Huan Li, Roderic Grupen, Krithi Ramamritham

Roderic Grupen

Multiple, independent robot platforms promise significant advantage with respect to robustness and flexibility. However, coordination between otherwise independent robots requires the exchange of information; either implicitly (as in gestural communication), or explicitly (as in message passing in a communication network.) In either case, control processes resident on all coordinated peers must participate in the collective behavior. This paper evaluates the potential to scale such a coupled control framework to many participating individuals, where scalability is evaluated in terms of the schedulability of coupled distributed control processes. We examine how schedulability affects the scalability of a robot system, and discuss an …

Spectral Distribution Of Hermitian Toeplitz Matrices Formally Generated By Rational Functions, William F. Trench

William F. Trench

No abstract provided.

Ambiguity In The Brain: What Brain Imaging Reveals About The Processing Of Syntactically Ambiguous Sentences, Robert A. Mason, Marcel Adam Just, Timothy A. Keller, Patricia A. Carpenter

Marcel Adam Just

No abstract provided.

A Note On Asymptotic Zero Distribution Of Orthogonal Polynomials, William F. Trench

William F. Trench

No abstract provided.

A Family Of Isomorphic Fusion Algebras Of Twisted Quantum Doubles Of Finite Groups, Christopher Goff

Christopher Goff

Server Selection Techniques For Distribution Information Retrieval, Yoshiya Kinuta, Brian Neil Levine, R. Manmatha

R. Manmatha

Server selection is typically defined as maximizing network performance under the assumption that each server holds an exact replica of all data. We propose and evaluate methods of server selection when servers are not exact replicas such that we maximize both network performance and information retrieval (IR) precision (i.e., the relevance of retrieved data). We show that naive composition of previously proposed techniques from networking and IR perform poorly. We propose improving the performance of current IR selection techniques by using language model/based selection to construct local replicas of databases that network selection predicts are likely to be poor network …

A Statistical Approach To Retrieving Historical Manuscript Images Without Recognition, Toni M. Rath, Victor Lavrenko, R. Manmatha

R. Manmatha

Handwritten historical document collections in libraries and other areas are often of interest to researchers, students or the general public. Convenient access to such corpora generally requires an index, which allows one to locate individual text units (pages, sentences, lines) that are relevant to a given query (usually provided as ASCII text). Several solutions are possible: manual annotation (very expensive), handwriting recognition (poor results) and word spotting - an image matching approach (computationally expensive).

In this work, we present a novel retrieval approach for historical document collections, which does not require recognition. We assume that word images can be described …

Unsupervised Color Constancy, Kinh Tieu, Erik G. Learned-Miller

Erik G Learned-Miller

In [1] we introduced a linear statistical model of joint color changes in images due to variation in lighting and certain non-geometric camera parameters. We did this by measuring the mappings of colors in one image of a scene to colors in another image of the same scene under different lighting conditions. Here we increase the flexibility of this color flow model by allowing flow coefficients to vary according to a low order polynomial over the image. This allows us to better fit smoothly varying lighting conditions as well as curved surfaces without endowing our model with too much capacity. …

Absolute Equal Distribution Of The Spectra Of Hermitian Matrices, William F. Trench

William F. Trench

No abstract provided.

Retrieving Historical Manuscripts Using Shape, Toni M. Rath, Victor Lavrenko, R. Manmatha

R. Manmatha

Convenient access to handwritten historical document collections in libraries generally requires an index, which allows one to locate individual text units (pages, sentences, lines) that are relevant to a given query (usually provided as text). Currently, extensive manual labor is used to annotate and organize such collections, because handwriting recognition approaches provide only poor results on old documents.

In this work, we present a novel retrieval approach for historical document collections, which does not require recognition. We assume that word images can be described using a vocabulary of discretized word features. From a training set of labeled word images, we …

Indexing Of Handwritten Historical Documents - Recent Progress, R. Manmatha, Toni M. Rath

R. Manmatha

Indexing and searching collections of handwritten archival documents and manuscripts has always been a challenge because handwriting recognizers do not perform well on such noisy documents. Given a collection of documents written by a single author (or a few authors), one can apply a technique called word spotting. The approach is to cluster word images based on their visual appearance, after segmenting them from the documents. Annotation can then be performed for clusters rather than documents.

Given segmented pages, matching handwritten word images in historical documents is a great challenge due to the variations in handwriting and the noise in …

Absolute Equal Distribution Of Families Of Finite Sets, William F. Trench

William F. Trench

No abstract provided.