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Physical Sciences and Mathematics Commons™
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Articles 23041 - 23070 of 27424
Full-Text Articles in Physical Sciences and Mathematics
The Story Of A Service-Learning Project: Mathematics In The Park, Joyce O'Halloran
The Story Of A Service-Learning Project: Mathematics In The Park, Joyce O'Halloran
Humanistic Mathematics Network Journal
No abstract provided.
Training Elementary Teachers For The New Millennium, Dixie Metheny, David Davison
Training Elementary Teachers For The New Millennium, Dixie Metheny, David Davison
Humanistic Mathematics Network Journal
No abstract provided.
True Prime, Pat Mower
Will You Still Be Teaching In The Twenty-First Century?, Theodore Panitz
Will You Still Be Teaching In The Twenty-First Century?, Theodore Panitz
Humanistic Mathematics Network Journal
No abstract provided.
The School/Home Communication Project: A Study Of The Effect Of More Frequent Grade Reporting On The Achievement Of High School Mathematics Students, Robert Dean Rogers
The School/Home Communication Project: A Study Of The Effect Of More Frequent Grade Reporting On The Achievement Of High School Mathematics Students, Robert Dean Rogers
Humanistic Mathematics Network Journal
No abstract provided.
Ode To The Square Root: A Historical Journey, Dorothy W. Goldberg
Ode To The Square Root: A Historical Journey, Dorothy W. Goldberg
Humanistic Mathematics Network Journal
The author gives a personal history of experiences in finding the square root of a number by the “do it thus” method—from algorithm to table to calculator. Why each procedure works is elucidated, making liberal use of the history of mathematics.
Book Review: Experiencing School Mathematics By Jo Boaler, Stephen Sproule
Book Review: Experiencing School Mathematics By Jo Boaler, Stephen Sproule
Humanistic Mathematics Network Journal
No abstract provided.
Book Review: Knowing And Teaching Elementary Mathematics By Liping Ma, Roger Howe
Book Review: Knowing And Teaching Elementary Mathematics By Liping Ma, Roger Howe
Humanistic Mathematics Network Journal
No abstract provided.
Book Review: Geometry From Africa: Mathematical And Educational Explorations By Paulus Gerdes, Claudia Zaslavsky
Book Review: Geometry From Africa: Mathematical And Educational Explorations By Paulus Gerdes, Claudia Zaslavsky
Humanistic Mathematics Network Journal
No abstract provided.
Qualitative Quantities, Susan Parman
Qualitative Quantities, Susan Parman
Humanistic Mathematics Network Journal
No abstract provided.
Weizmann Day’S “Math Night” Brings Parents To Their Knees
Weizmann Day’S “Math Night” Brings Parents To Their Knees
Humanistic Mathematics Network Journal
No abstract provided.
Skolem’S Paradox And Contradictory Popular Songs, Maurice Machover
Skolem’S Paradox And Contradictory Popular Songs, Maurice Machover
Humanistic Mathematics Network Journal
No abstract provided.
Senior Seminar: A Capstone Course In The Computer And Mathematical Sciences, Ken Oberhoff, Ron Barnes
Senior Seminar: A Capstone Course In The Computer And Mathematical Sciences, Ken Oberhoff, Ron Barnes
Humanistic Mathematics Network Journal
This paper describes the evolution of a course developed to tie together many strands of activity encountered by students in the computer and mathematical sciences (CMS). The senior level course is required of all majors in our computer science, applied mathematics and statistics undergraduate degree programs. One of the primary purposes of the course is to refine writing and presentation skills needed for those who will later pursue individual research projects. Writing projects are organized around the theme of “Ethical Decision Making in the Computer and Mathematical Sciences”. Numerous case studies are investigated. Additional topics in the course include designing …
Number, Infinity And Truth: Reflections On The Spiritual In Mathematics, James V. Rauff
Number, Infinity And Truth: Reflections On The Spiritual In Mathematics, James V. Rauff
Humanistic Mathematics Network Journal
No abstract provided.
A Nonlinear Parabolic Equation Modelling Surfactant Diffusion, Xinfu Chen, Chaocheng Huang, Jennifer Zhao
A Nonlinear Parabolic Equation Modelling Surfactant Diffusion, Xinfu Chen, Chaocheng Huang, Jennifer Zhao
Mathematics and Statistics Faculty Publications
An initial-boundary value problem for nonlinear parabolic equations modelling surfactant diffusions is investigated. The boundary conditions are of nonlinear adsorptive types, and the initial value has a single point jump. We study the well-posedness of the problem, the convergence of a numerical scheme, and the regularity as well as quantitative behaviour of solutions.
Torsion-Free Modules Over Reduced Witt Rings, Robert W. Fitzgerald
Torsion-Free Modules Over Reduced Witt Rings, Robert W. Fitzgerald
Articles and Preprints
We compute the genus class group of a torsion-free module over a reduced Witt ring of finite stability index. This is applied to modules locally isomorphic to odd degree extensions of formally real fields.
On Some Self-Organizing Models And Their Applications., Amitava Dutta Dr.
On Some Self-Organizing Models And Their Applications., Amitava Dutta Dr.
Doctoral Theses
Abstract: Self-organizing neural network models constitute the main theme of this thesis. Some well-known self-organizing models are surveyed and their properties are discussed. The application areas on which the thesis focuses are briefly described.This thesis deals with Artificial Neural Network models, in particular, Self- organizing (unsupervisnd) models. We develop here a few self-organizing neural net- work models to solve certain problems which are well studied in the areas of Image Processing and Computationel Geometry and have wide applications in shape eztrac- tion and optimization.1.1 Artificial neural networkThe study of Biological Neural Networks originally comes under biological sciences. They deal with …
Bounded Point Evaluations And Local Spectral Theory, Abdellatif Bourhim
Bounded Point Evaluations And Local Spectral Theory, Abdellatif Bourhim
Mathematics - All Scholarship
We study in this paper the concept of bounded point evaluations for cyclic operators. We give a negative answer to a question of L.R. Williams Dynamic Systems and Apllications 3(1994) 103-112. Furthermore, we generalize some results of Williams and give a simple proof of theorem 2.5 of L.R. Williams (The Local Spectra of Pure Quasinormal Operators J. Math. anal. Appl. 187(1994) 842-850) that non normal hyponormal weighted shifts have fat local spectra.
Biological Implications Of A Discrete Mathematical Model For Collagen Deposition And Alignment In Dermal Wound Repair, J. C. Dallon, J. A. Sherratt, P. K. Maini, M. W. Ferguson
Biological Implications Of A Discrete Mathematical Model For Collagen Deposition And Alignment In Dermal Wound Repair, J. C. Dallon, J. A. Sherratt, P. K. Maini, M. W. Ferguson
Faculty Publications
We develop a novel mathematical model for collagen deposition and alignment during dermal wound healing. We focus on the interactions between fibroblasts, modelled as discrete entities, and a continuous extracellular matrix composed of collagen and a fibrin based blood clot. There are four basic interactions assumed in the model: fibroblasts orient the collagen matrix, fibroblasts produce and degrade collagen and fibrin and the matrix directs the fibroblasts and determines the speed of the cells. Several factors which influence the alignment of collagen are examined and related to current anti-scarring therapies using transforming growth factor " The most influential of these …
Optimal Token Allocations In Solitaire Knock'm Down, Arthur T. Benjamin, Mark L. Huber, Matthew T. Fluet '99
Optimal Token Allocations In Solitaire Knock'm Down, Arthur T. Benjamin, Mark L. Huber, Matthew T. Fluet '99
All HMC Faculty Publications and Research
In the game Knock 'm Down, tokens are placed in N bins. At each step of the game, a bin is chosen at random according to a fixed probability distribution. If a token remains in that bin, it is removed. When all the tokens have been removed, the player is done. In the solitaire version of this game, the goal is to minimize the expected number of moves needed to remove all the tokens. Here we present necessary conditions on the number of tokens needed for each bin in an optimal solution, leading to an asymptotic solution.
An Approximation To Miscible Fluid Flows In Porous Media With Point Sources And Sinks By An Eulerian-Lagrangian Localized Adjoint Method And Mixed Finite Element Methods, Hong Wang, Liang Dong, Richard E. Ewing, Stephen L. Lyons, Guan Qin
An Approximation To Miscible Fluid Flows In Porous Media With Point Sources And Sinks By An Eulerian-Lagrangian Localized Adjoint Method And Mixed Finite Element Methods, Hong Wang, Liang Dong, Richard E. Ewing, Stephen L. Lyons, Guan Qin
Faculty Publications
We develop an Eulerian–Lagrangian localized adjoint method (ELLAM)-mixed finite element method (MFEM) solution technique for accurate numerical simulation of coupled systems of partial differential equations (PDEs), which describe complex fluid flow processes in porous media. An ELLAM, which was shown previously to outperform many widely used methods in the context of linear convection-diffusion PDEs, is presented to solve the transport equation for concentration. Since accurate fluid velocities are crucial in numerical simulations, an MFEM is used to solve the pressure equation for the pressure and Darcy velocity. This minimizes the numerical difficulties occurring in standard methods for approximating velocities caused …
Dynamics Of Lattice Kinks, Panos Kevrekidis, M. I. Weinstein
Dynamics Of Lattice Kinks, Panos Kevrekidis, M. I. Weinstein
Panos Kevrekidis
In this paper we consider two models of soliton dynamics (the sine Gordon and the \phi^4 equations) on a 1-dimensional lattice. We are interested in particular in the behavior of their kink-like solutions inside the Peierls- Nabarro barrier and its variation as a function of the discreteness parameter. We find explicitly the asymptotic states of the system for any value of the discreteness parameter and the rates of decay of the initial data to these asymptotic states. We show that genuinely periodic solutions are possible and we identify the regimes of the discreteness parameter for which they are expected to …
Oslo Summer Workshop On Stochastic Analysis, Salah-Eldin A. Mohammed
Oslo Summer Workshop On Stochastic Analysis, Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
No abstract provided.
Computational Geometry Column 39, Joseph O'Rourke
Computational Geometry Column 39, Joseph O'Rourke
Computer Science: Faculty Publications
The resolution of a decades-old open problem is described: polygonal chains cannot lock in the plane.
Examples, Counterexamples, And Enumeration Results For Foldings And Unfoldings Between Polygons And Polytopes, Erik D. Demaine, Martin L. Demaine, Anna Lubiw, Joseph O'Rourke
Examples, Counterexamples, And Enumeration Results For Foldings And Unfoldings Between Polygons And Polytopes, Erik D. Demaine, Martin L. Demaine, Anna Lubiw, Joseph O'Rourke
Computer Science: Faculty Publications
We investigate how to make the surface of a convex polyhedron (a polytope) by folding up a polygon and gluing its perimeter shut, and the reverse process of cutting open a polytope and unfolding it to a polygon. We explore basic enumeration questions in both directions: Given a polygon, how many foldings are there? Given a polytope, how many unfoldings are there to simple polygons? Throughout we give special attention to convex polygons, and to regular polygons. We show that every convex polygon folds to an infinite number of distinct polytopes, but that their number of combinatorially distinct gluings is …
Modelling The Dynamics Of Abyssal Equator-Crossing Currents, P. F. Choboter, G. E. Swaters
Modelling The Dynamics Of Abyssal Equator-Crossing Currents, P. F. Choboter, G. E. Swaters
Mathematics
No abstract provided.
Stochastic Systems With Memory: Theory, Examples And Applications (Postgraduate Seminar, University Of Central Venezuela), Salah-Eldin A. Mohammed
Stochastic Systems With Memory: Theory, Examples And Applications (Postgraduate Seminar, University Of Central Venezuela), Salah-Eldin A. Mohammed
Miscellaneous (presentations, translations, interviews, etc)
No abstract provided.
An Efficient Method For Band Structure Calculations In 3d Photonic Crystals, David C. Dobson, Jay Gopalakrishnan, Joseph E. Pasciak
An Efficient Method For Band Structure Calculations In 3d Photonic Crystals, David C. Dobson, Jay Gopalakrishnan, Joseph E. Pasciak
Mathematics and Statistics Faculty Publications and Presentations
A method for computing band structures for three-dimensional photonic crystals is described. The method combines a mixed finite element discretization on a uniform grid with a fast Fourier transform preconditioner and a preconditioned subspace iteration algorithm. Numerical examples illustrating the behavior of the method are presented.
Nonparametric Estimation Of The Cumulative Intensity Function For A Nonhomogeneous Poisson Process From Overlapping Realizations, Bradford L. Arkin, Lawrence Leemis
Nonparametric Estimation Of The Cumulative Intensity Function For A Nonhomogeneous Poisson Process From Overlapping Realizations, Bradford L. Arkin, Lawrence Leemis
Arts & Sciences Articles
A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations on an interval is extended here to include realizations that overlap. This technique does not require any arbitrary parameters from the modeler, and the estimated cumulative intensity function can be used to generate a point process for simulation by inversion.
Computing The Cumulative Distribution Function Of The Kolmogorov–Smirnov Statistic, John H. Drew, Andrew G. Glen, Lawrence Leemis
Computing The Cumulative Distribution Function Of The Kolmogorov–Smirnov Statistic, John H. Drew, Andrew G. Glen, Lawrence Leemis
Arts & Sciences Articles
We present an algorithm for computing the cumulative distribution function of the Kolmogorov–Smirnov test statistic Dn in the all-parameters-known case. Birnbaum (1952, J. Amer. Statist. Assoc. 47, 425–441), gives an n-fold integral for the CDF of the test statistic which yields a function defined in a piecewise fashion, where each piece is a polynomial of degree n. Unfortunately, it is difficult to determine the appropriate limits of integration for computing these polynomials. Our algorithm performs the required integrations in a manner that avoids calculating the same integrals repeatedly, resulting in shorter computation time. It can be used …