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Articles 24481 - 24510 of 27196
Full-Text Articles in Entire DC Network
Cyclicizers, Centralizers, And Normalizers, David Patrick, Eric Wepsic
Cyclicizers, Centralizers, And Normalizers, David Patrick, Eric Wepsic
Mathematical Sciences Technical Reports (MSTR)
Our goal is to define the cyclicizer, which is analogous to the centralizer and normalizer, and to examine groups in which these subsets have certain special properties.
A Mathematical Model For Outgassing And Contamination, Weifu Fang, Meir Shillor, E. Stahel, E. Epstein, C. Ly, J. Mcniel, E. Zaron
A Mathematical Model For Outgassing And Contamination, Weifu Fang, Meir Shillor, E. Stahel, E. Epstein, C. Ly, J. Mcniel, E. Zaron
Mathematics and Statistics Faculty Publications
A model for the mathematical description of the processes of outgassing and contamination in a vacuum system is proposed. The underlying assumptions are diffusion in the source, convection and diffusion in the cavity, mass transfer across the source-cavity interface, and a generalization of the Langmuir isotherm for the sorption kinetics on the target. Three approximations are considered where the asymptotic behavior of the model for large time is shown as well as the dependence and sensitivity of the model on some of the parameters. Some numerical examples of the full model are then presented together with a proof of the …
Templates And Framed Braids, Paul Melvin, N. B. Tufillaro
Templates And Framed Braids, Paul Melvin, N. B. Tufillaro
Mathematics Faculty Research and Scholarship
We show how a template for a dynamical system can be uniquely specified by a framed braid. This leads to a homological classification of strange attractors in terms of an associated linking matrix.
The Arboricity Of The Random Graph, Paul A. Catlin, Zhi-Hong Chen
The Arboricity Of The Random Graph, Paul A. Catlin, Zhi-Hong Chen
Scholarship and Professional Work - LAS
No abstract provided.
Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen
Nonsupereulerian Graphs With Large Size, Paul A. Catlin, Zhi-Hong Chen
Scholarship and Professional Work - LAS
No abstract provided.
Some Complex Grassmannian Manifolds That Do Not Fibre Nontrivially, John Ferdinands
Some Complex Grassmannian Manifolds That Do Not Fibre Nontrivially, John Ferdinands
University Faculty Publications and Creative Works
A finite CW complex X is said to be prime if, given a Hurewicz fibration F→E→B with E homotopy equivalent to X, and B and F homotopy equivalent to finite CW complexes, either B or F is contractible. We show that certain 3- and 4-plane complex Grassmanian manifolds are prime. © 1991.
Counting Centralizers In Finite Groups, Sarah Marie Belcastro, Gary J. Sherman
Counting Centralizers In Finite Groups, Sarah Marie Belcastro, Gary J. Sherman
Mathematical Sciences Technical Reports (MSTR)
We discuss various results on the number of commuting pairs and the sizes of the centralizers of a group.
Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li
Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li
Mathematics and Statistics Faculty Publications
No abstract provided.
Allocations To Discriminated Players In Discriminatory Von Neumann-Morgenstern Solutions, J. G. C. Heijmans
Allocations To Discriminated Players In Discriminatory Von Neumann-Morgenstern Solutions, J. G. C. Heijmans
Mathematics Technical Papers - Archive
Von Neumann-Morgenstern solutions (stable sets) for cooperative sidepayment games are notoriously difficult to find. This paper provides guidelines on how to find discriminatory vN-M solutions and exhibits some difficulties one may encounter. Easy to use necessary restrictions on the allocations to the discriminated players are derived. Easy to use complete characterisations of discriminatory vN-M solutions for simple games and of discriminatoy vN-M solutions with some additional structure for arbitrary games are provided.
On Some Problems In Analysis Of Covariance Structure., Sadhan Samar Maiti Dr.
On Some Problems In Analysis Of Covariance Structure., Sadhan Samar Maiti Dr.
Doctoral Theses
In recent years, the teahniques of struotural analynie of covarianoe and correlation matrioes have frequently be en employed espeed ally in the s ooial and behavioural soieno es for analysing multivariate data. Analysis of covarlance structures (ACOVS) lea; generie tem describing a variety of statistioal procedures for testing and measuring the goodnese-of-fit of certain types of struotures postulated a priori for the cova- riance matrix by plaoing al temative restriotione on the para- neter natrioes of the general model" [Mukherjee, 1976, p. 132].The aoronyn AOOVS' standa for; analyeis of covarianoe atructurea; and waa firat proposed by Book (1960) as a …
Integer Triangles With Rational Medians, Bart Goddard, Dale Mesner
Integer Triangles With Rational Medians, Bart Goddard, Dale Mesner
Mathematical Sciences Technical Reports (MSTR)
A characterization of all integer-sided triangles with a rational median is given, similar to the categorization of Pythagorean triangles. An infinite family of integer-sided triangles with two rational medians is given, along with several examples of three rational medians. All examples come from solutions to systems of quadratic Diophantine equations.
Analysis And Finite-Element Approximation Of Optimal-Control Problems For The Stationary Navier-Stokes Equations With Distributed And Neumann Controls, Max D. Gunzburger, L. Hou, Tom Svobodny
Analysis And Finite-Element Approximation Of Optimal-Control Problems For The Stationary Navier-Stokes Equations With Distributed And Neumann Controls, Max D. Gunzburger, L. Hou, Tom Svobodny
Mathematics and Statistics Faculty Publications
We examine certain analytic and numerical aspects of optimal control problems for the stationary Navier-Stokes equations. The controls considered may be of either the distributed or Neumann type; the functionals minimized are either the viscous dissipation or the L4-distance of candidate flows to some desired flow. We show the existence of optimal solutions and justify the use of Lagrange multiplier techniques to derive a system of partial differential equations from which optimal solutions may be deduced. We study the regularity of solutions of this system. Then, we consider the approximation, by finite element methods, of solutions of the …
A Result On Dillon's Conjecture In Difference Sets, James A. Davis
A Result On Dillon's Conjecture In Difference Sets, James A. Davis
Department of Math & Statistics Faculty Publications
Dillon has conjectured that any group of order 22d+2 with a normal subgroup isomorphic to Z2d+1 will have a difference set. He was able to show that this is true if the subgroup is central: this paper extends that idea to noncentral subgroups.
Difference Sets In Abelian 2-Groups, James A. Davis
Difference Sets In Abelian 2-Groups, James A. Davis
Department of Math & Statistics Faculty Publications
Examples of difference sets are given for large classes of abelian groups of order 22d + 2. This fills in the gap of knowledge between Turyn's exponent condition and Dillon's rank condition. Specifically, it is shown thatℤ/(2d)×ℤ/(2d+2) andℤ/(2d+1)×Z/(2d+1) both admit difference sets, and these have many implications.
The Solution Of A Singular Integral Equation Arising From A Lifting Surface Theory For Rotating Blades, Mark H. Dunn
The Solution Of A Singular Integral Equation Arising From A Lifting Surface Theory For Rotating Blades, Mark H. Dunn
Mathematics & Statistics Theses & Dissertations
A technique is presented for the solution of a linear, two dimensional, singular, Volterra integral equation of the first kind. The integral equation, originally developed by Farassat and Myers, is derived from the basic equations of linearized acoustics and models the lifting force experienced by an infinitesimally thin surface moving tangent to itself. As a particular application, the motion of modern high speed aircraft propellers (Advanced Technology Propellers) is considered. The unknown propeller blade surface pressure distribution is approximated by a piecewise constant function and the integral equation is solved numerically by the method of collocation. Certain simplifying assumptions applied …
On Shock Capturing For Liquid And Gas Media, Tze Jang Chen
On Shock Capturing For Liquid And Gas Media, Tze Jang Chen
Mathematics & Statistics Theses & Dissertations
The numerical investigation of shock phenomena in gas or liquid media where a specifying relation for internal energy is absent poses special problems. Classically, for gas dynamics the usual procedure is to employ a splitting scheme to remove the source terms from the Euler equations, then up-wind biased shock capturing algorithms are built around the Riemann problem for the system which remains. However, in the case where the Euler equations are formulated in the term of total enthalpy, a technical difficulty associated with equation splitting forces a pressure time derivative to be treated as a source term. This makes it …
Classical, Computer Studies Of One-Electron And Two-Electron Atoms And Ions, Donald Greenspan
Classical, Computer Studies Of One-Electron And Two-Electron Atoms And Ions, Donald Greenspan
Mathematics Technical Papers - Archive
A geometrical, computer-oriented method is utilized to generate circular orbits of electrons in one-electron and two-electron atoms and ions. The radii of these orbits are defined to be the radii of the atoms or ions. Only energy conserving computer methodology is used. The results suggest a natural modification of the Bohr approach to hydrogen which is then applied heuristically to helium.
Corrigendum To "Taxonomies Of Model-Theoretically Defined Topological Properties", Paul Bankston
Corrigendum To "Taxonomies Of Model-Theoretically Defined Topological Properties", Paul Bankston
Mathematics, Statistics and Computer Science Faculty Research and Publications
An error has been found in the cited paper; namely, Theorem 3.1 is false.
A Tale Of Two Mathematicians, Robert Brabenec
A Tale Of Two Mathematicians, Robert Brabenec
ACMS Conference Proceedings 1991
The goal of this paper is to identify some of the discoveries in mathematics during the period from 1820 to 1875 that have profoundly changed the nature of mathematics. To provide a context for this, the author compares some results of mathematics before the year 1820 with those present after 1875. And to humanize this, the author discusses the details of the life and times of two mathematicians, one who was active before 1820 and one who was active after 1875.
Cantor's Concept Of Infinity: Implications Of Infinity For Contingence, Bruce A. Hedman
Cantor's Concept Of Infinity: Implications Of Infinity For Contingence, Bruce A. Hedman
ACMS Conference Proceedings 1991
Georg Cantor (1845-1918) was a devout Lutheran whose explicit Christian beliefs shaped his philosophy of science. Joseph Dauben has traced the impact Cantor's Christian convictions had on the development of transfinite set theory. In this paper I propose to examine how Cantor's transfinite set theory has contributed to an increasingly contingent world view in modern science. The contingence of scientific theories is not just a cautious tentativeness, but arises out of the actual state of the universe itself. The mathematical entities Cantor studied, transfinite numbers, he admitted were fraught with paradoxes. But he believed that they were grounded in a …
Using Mathematica To Teach Calculus, Russell W. Howell
Using Mathematica To Teach Calculus, Russell W. Howell
ACMS Conference Proceedings 1991
For the past two years Westmont College has been one of the beta test sites for the calculus reform experiment being conducted at the University of Illinois under the direction of Jerry Uhl. Brown, Porta, and Uhl have created text which is integrated with Mathematica, a very powerful symbol manipulation, graphics, and number crunching software package produced by Wolfram Research, Inc. A preliminary version of this text has just been released [2]. We have used the Illinois materials for an honors course of incoming Freshmen with prior calculus experience. The purpose of this paper is to evaluate the curriculum and …
Reviving The Argument From Design: Detecting Design Through Small Probabilities, William A. Dembski
Reviving The Argument From Design: Detecting Design Through Small Probabilities, William A. Dembski
ACMS Conference Proceedings 1991
How small do probabilities of events have to get before we refuse to attribute those events to chance? Smallness of probability is itself not enough since events with extremely small probability occur all the time. But when such events are also prespecified, it becomes difficult to attribute their occurrence to chance. Typically we search for a causal account of how chance was offset. Lacking such a causal story, however, are we still justified in asserting that an extremely improbable prespecified event was not the result of chance? This question is relevant to such diverse areas as prophecy, miracles, parapsychology, gambling, …
Real Number Representations And The Distribution Of Following Segments, C.R. Rosentrater
Real Number Representations And The Distribution Of Following Segments, C.R. Rosentrater
ACMS Conference Proceedings 1991
No abstract provided.
Mathematical And Religious Knowledge In Nineteenth-Century England, Joan Richards
Mathematical And Religious Knowledge In Nineteenth-Century England, Joan Richards
ACMS Conference Proceedings 1991
No abstract provided.
The Rigorous And The Natural In Eighteenth Century Mathematics, Joan Richards
The Rigorous And The Natural In Eighteenth Century Mathematics, Joan Richards
ACMS Conference Proceedings 1991
No abstract provided.
Discrete Mathematics Versus Calculus - A Modern Day Extension Of The Formalist-Intuitionist Controversy, Marvin L. Johnson, Ph.D
Discrete Mathematics Versus Calculus - A Modern Day Extension Of The Formalist-Intuitionist Controversy, Marvin L. Johnson, Ph.D
ACMS Conference Proceedings 1991
No abstract provided.
Can Mathematical Methods Yield Theological Truth?, Jan De Koning
Can Mathematical Methods Yield Theological Truth?, Jan De Koning
ACMS Conference Proceedings 1991
This paper discusses the negative impact mathematical methods in theology can have on the church by looking specifically at Arminius and Voetius, Dutch theologians living in the late sixteenth and early seventeenth century. Both Arminius and Voetius used mathematical methodology, although they came to different conclusions. I think their differences were due to their different worldviews, which in turn were fundamentally influenced by their upbringing. Both theologians, however, made the same mistake with their methodology and the church split because of that mistake.
How Has Christian Theology Furthered Mathematics?, Gene B. Chase
How Has Christian Theology Furthered Mathematics?, Gene B. Chase
ACMS Conference Proceedings 1991
In revising my Bibliography of Christianity and Mathematics to include material prior to the 20th century, it is difficult to know what to include and what to exclude, since Christian presuppositions informed much scholarship in a vague, cultural sort of way. This paper is a first cut at attempting to narrow down candidates for that Bibliography by looking for specific ways in which Christian theology has furthered mathematics.
C. S. Lewis, George Macdonald, And Mathematics, David L. Neuhouser
C. S. Lewis, George Macdonald, And Mathematics, David L. Neuhouser
ACMS Conference Proceedings 1991
This paper examines the influence and role of mathematics and mathematicians in the stories of George MacDonald and C. S. Lewis.
Introduction (1991), Robert Brabenec
Introduction (1991), Robert Brabenec
ACMS Conference Proceedings 1991
An Eighth Conference on Mathematics from a Christian Perspective