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Articles 24841 - 24870 of 27391
Full-Text Articles in Physical Sciences and Mathematics
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 …
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.
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
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.
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.
Using Mathematics To Teach Calculus, Russell W. Howell
Using Mathematics 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 …
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 …
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.
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.
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.
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, …
Introduction (1991), Robert Brabenec
Introduction (1991), Robert Brabenec
ACMS Conference Proceedings 1991
An Eighth Conference on Mathematics from a Christian Perspective
Table Of Contents (1991), Association Of Christians In The Mathematical Sciences
Table Of Contents (1991), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1991
An Eighth Conference on Mathematics from a Christian Perspective
Schedule (1991), Association Of Christians In The Mathematical Sciences
Schedule (1991), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1991
An Eighth Conference on Mathematics from a Christian Perspective
Give Saxon The Ax!, Calvin Jongsma
Give Saxon The Ax!, Calvin Jongsma
Faculty Work Comprehensive List
No abstract provided.
The Theorms Of The Alternative, Kathryn L. Balsman '91
The Theorms Of The Alternative, Kathryn L. Balsman '91
Honors Projects
In layman's terms, a Theorem of the Alternative is a theorem which states that given two conditions, one of the two conditions is true. It further states that if one of those conditions fails to be true, then the other condition must be true. Mathematically, this does not give a very clear picture of this group of theorems, however. Katta Murty defines a typical Theorem of the Alternative as one which shows that corresponding to any given system of linear constraints, system I, there is another associated system of linear constraints, system II, based on the same data, satisfying the …
On The Computation Of Bang-Bang Controls, Carol San Soucie
On The Computation Of Bang-Bang Controls, Carol San Soucie
Honors Theses
No abstract provided.
An Upper Bound For 3-Rewriteability In Finite Groups, Jordan Ellenberg
An Upper Bound For 3-Rewriteability In Finite Groups, Jordan Ellenberg
Mathematical Sciences Technical Reports (MSTR)
An ordered triple of group elements (x,y,z) is said to be rewriteable if the product xyz is equal to one of the products xzy, yxz, yzx, zxy, zyx. In the present paper, we shall ask the following question: how rewriteable can a finite group be if its derived group has order greater than 2?
Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
No abstract provided.
The Calculus Virgin, Louis Leithold
The Calculus Virgin, Louis Leithold
Humanistic Mathematics Network Journal
No abstract provided.
Leibniz — Beyond The Calculus, Hardy Grant
Leibniz — Beyond The Calculus, Hardy Grant
Humanistic Mathematics Network Journal
No abstract provided.
Student Seminars On "Famous Equations", Richard G. Montgomery
Student Seminars On "Famous Equations", Richard G. Montgomery
Humanistic Mathematics Network Journal
No abstract provided.
The Human/Computer Interface: Their Side Or Ours?, R. S.D. Thomas
The Human/Computer Interface: Their Side Or Ours?, R. S.D. Thomas
Humanistic Mathematics Network Journal
No abstract provided.
An Historical Approach To Precalculus And Calculus, Victor J. Katz
An Historical Approach To Precalculus And Calculus, Victor J. Katz
Humanistic Mathematics Network Journal
No abstract provided.
Ethics In Mathematics: A Request For Information, Robert P. Webber
Ethics In Mathematics: A Request For Information, Robert P. Webber
Humanistic Mathematics Network Journal
No abstract provided.
Augsburg's Humanistic Curriculum Project, Larry Copes, Beverly Stratton
Augsburg's Humanistic Curriculum Project, Larry Copes, Beverly Stratton
Humanistic Mathematics Network Journal
No abstract provided.
An Alternative Approach To The History Of Mathematics, Claudia Henrion
An Alternative Approach To The History Of Mathematics, Claudia Henrion
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics: Contributions By Women, Jacqueline M. Dewar
Mathematics: Contributions By Women, Jacqueline M. Dewar
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics And Philosophy: The Story Of A Misunderstanding, Gian-Carlo Rota
Mathematics And Philosophy: The Story Of A Misunderstanding, Gian-Carlo Rota
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics And Poetry : Isolated Or Integrated?, Joanne S. Growney
Mathematics And Poetry : Isolated Or Integrated?, Joanne S. Growney
Humanistic Mathematics Network Journal
No abstract provided.