Applied Mathematics Commons^™

Mathematical Models And Reality, John Byl

ACMS Conference Proceedings 2003

This paper examines the nature and function of mathematical models, using illustrations from cosmology, space geometry and atomic physics. Mathematical models enable us to make precise calculations and predictions; they serve as analogies and conceptual frameworks that lead to new discoveries; and they bridge the gap between appearance and reality. Their success implies that the universe had a mathematical structure. However, one must be careful not to confuse models of reality with reality itself. A variety of models can represent the same data; any model can be given different physical interpretations. The choice of a model and its interpretation depends …

Mathematics And The Love Of God: An Introduction To The Thought Of Simone Weil, Scott Taylor

ACMS Conference Proceedings 2003

No abstract provided.

Non-Random Equidistant Letter Sequence Extensions In Ezekiel, Richard E. Sherman, Nathan Jacobi

ACMS Conference Proceedings 2003

No abstract provided.

A Pseudo-History Of Number Systems, Richard Laatsch

ACMS Conference Proceedings 2003

No abstract provided.

Mathematics And The Love Of God: An Introduction To The Thought Of Simone Weil, Scott Taylor

ACMS Conference Proceedings 2003

Simone Weil was the sister of Andre Weil, one of the twentieth century's foremost mathematicians. She is a widely read and creative writer on spiritual themes. She addressed mathematics extensively in her writings. This paper discusses her views of mathematics and beauty, her critiques of modern science, her views on truth, and her concept that mathematical ideas can serve as symbols of spiritual ideas.

Introduction (2003), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2003

Fourteenth Conference of the Association of Christians in the Mathematical Sciences

Schedule (2003), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2003

Fourteenth Conference of the Association of Christians in the Mathematical Sciences

A Christian Perspective On Mathematics – History Of Mathematics And Study Guides, Johan Deklerk

ACMS Conference Proceedings 2003

This paper addresses two questions: (1) Will a study of the history of the subject serve any purpose in promoting a Christian perspective on mathematics? (2) Can the "science in context" approach be of further help in promoting such a perspective? The author answers both positively and provides specific examples of how he has done this in his own classes.

Table Of Contents (2003), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2003

Fourteenth Conference of the Association of Christians in the Mathematical Sciences

Reply To "Comment On ‘Atomic Spectral Line Free-Parameter Deconvolution Procedure’”, Vladimir Milosavljevic, Goran Poparic

Articles

We do not agree with the authors of the preceding Comment [X. Nikolic, X. Ojurovic, and X. Mijatovic, Phys. Rev. E, 67, 058401, 2003]. Our numerical procedure for the deconvolution of the theoretical asymmetric convolution integral of a Gaussian and a plasma broadened spectral line profile jA,R(λ) for spectral lines enables the determination of all broadening parameters. All broadening parameters can be determined directly from the recorded line profile of a single line, with minimal assumptions or prior knowledge. Additional experimental diagnostics are not required.

A Christian Perspective On Mathematics – History Of Mathematics And Study Guides, Johan Deklerk

ACMS Journal 2004

This paper addresses two questions: (1) Will a study of the history of the subject serve any purpose in promoting a Christian perspective on mathematics? (2) Can the "science in context" approach be of further help in promoting such a perspective? The author answers both positively and provides specific examples of how he has done this in his own classes.

Creationism – A Viable Philosophy Of Mathematics, Jonathan Zderad

ACMS Journal 2004

In this paper, the author addresses two classical questions of the philosophy of mathematics: What, if any, of mathematics exists in the objective sense? How do humans know that our knowledge of mathematics is correct? He argues that the Christian doctrine of God as creator provides a basis for answering these questions. He also provides a critique of eight widely discussed philosophies of mathematics.

Mathematics And The Love Of God: An Introduction To The Thought Of Simone Weil, Scott Taylor

ACMS Journal 2004

Simone Weil was the sister of Andre Weil, one of the twentieth century's foremost mathematicians. She is a widely read and creative writer on spiritual themes. She addressed mathematics extensively in her writings. This paper discusses her views of mathematics and beauty, her critiques of modern science, her views on truth, and her concept that mathematical ideas can serve as symbols of spiritual ideas.

Thesis Digest: Mathematical Interpretation Of Political Power And The Arkansas State Government, Andrew King

Inquiry: The University of Arkansas Undergraduate Research Journal

On the whole, political power can he very difficult to quantify. A person may be powerful due to his or her personal charm, wealth, fame, credibility, or influential connections. Political bodies do not account for these qualities when creating voting procedures; they only assign voting rules to specific positions. For example, most would say that in the United States government that a Senator is more powerful than a Representative, but less powerful than the President, without knowing any way to quantify or verify those differences. Since the 1950's, mathematicians and political scientists have attempted to create mathematical models that partially …

Real-Time Travel Time Estimation Using Macroscopic Traffic Flow Models, Pushkin Kachroo, Kaan Ozbay, Antoine G. Hobeika

Electrical & Computer Engineering Faculty Research

This paper presents the estimation of travel time on highways based on macroscopic modelling. The focus is on real-time values as compared to average or static values. The macroscopic models are used for distributed and time/space lumped settings and corresponding travel time estimation functions and algorithms are developed. The implications of these algorithms for the implementation of various incident management and traffic control strategies are also discussed.

What Mathematical Paradoxes Teach Us About Paradoxes In Christianity, Paul Bialek

ACMS Conference Proceedings 2001

In Christian academic circles, we talk about the integration of our faith and learning. That is, we seek to discover and develop connections between our Christian faith and our particular discipline. This is notoriously difficult when the discipline is mathematics. I have found that asking myself these three questions has helped me to integrate my Christian faith with mathematics, although they could be applied to any discipline: (1) How does the fact that I am a Christian affect the way I view mathematics? (2) How does the fact that I am a mathematician affect the way I view Christianity? (3) …

Three Problems From Number Theory, Robert Brabenec

ACMS Conference Proceedings 2001

This paper discusses the experiences of Wheaton College mathematics and computer science department colloquium as they explored open-ended problems.

The Soviet Concept Of The Correlation Of Forces, James Bradley

ACMS Conference Proceedings 2001

This paper takes a look at the Soviet Union’s accumulation of nuclear weapons during the Cold War and what mathematical strategy they employed to make their choices.

Gravitational Acceleration In Hades, Andrew Simoson

ACMS Conference Proceedings 2001

Does acceleration due to gravity increase or decrease upon descending from Earth’s surface? The answer—as we show—depends on one’s model for Earth’s density. For our Earth, gravity increases before it collapses to zero at Earth center.

Theism & Mathematical Realism, John Byl

ACMS Conference Proceedings 2001

This paper examines connections between theism and mathematical realism. Mathematical realism, which offers the best account of mathematics, strongly supports theism. Theism, in turn, supports mathematical realism. Theism readily explains the intricate relations between mathematics, matter, and mind. The attributes of the biblical God provide justification for classical mathematics.

Mathematics Memory Verses: Weekly Devotionals For Math Class, Mark Colgan

ACMS Conference Proceedings 2001

Each Monday during the semester I start class with a short devotional on a verse that relates in some way to mathematics. After three weeks I choose one of the three at random for students to write out on their quiz for a possible bonus point. This encourages students to practice memorizing Scripture and it gives us the opportunity to discuss biblical principles that relate to some of the topics we are studying in the course.

I would like to share some of the Bible verses and weekly devotionals I have used in my mathematics classes. These can be organized …

Parables For Mathematicians: With Good News For Curved Beings, Ashley Reiter Ahlin

ACMS Conference Proceedings 2001

Because we often lack the language for talking about such deep matters, the things of God can be hard to understand or talk about. The things that we do see and know were made by the same God of whom we speak. Thus, they are reflections of His nature, purposes, and ways and can help us to think and take about Him. This presentation expresses a parable using the language of math.

On Periodic Points On Maps Of Trees And The Expansive Property, Fred Worth

ACMS Conference Proceedings 2001

In this paper, we consider the expansive property (A homeomorphism, f, of a metric space, X, onto itself is called expansive if there is a positive number, ε, such that if x and y are distinct points of X, then there exists an integer, n = n(x,y), such that d(f n(x), f n(y)) > ε. It should be noted that n may be negative.) and how it relates to shift homeomorphisms of a tree with a single, surjective bonding map. We also consider some results regarding the periodicity of points in self-maps of trees.

Why Natural Selection Can't Design Anything, William A. Dembski

ACMS Conference Proceedings 2001

In The Fifth Miracle Paul Davies suggests that any laws capable of explaining the origin of life must be radically different from scientific laws known to date? The problem, as he sees it, with currently known scientific laws, like the laws of chemistry and physics, is that they cannot explain the key feature of life that needs to be explained. That feature is specified complexity. Life is both complex and specified. The basic institution here is straightforward. Davies rightly notes, laws (that is, necessities of nature) can explain specification but not complexity. Once life (or more generally some self-replicator) …

Mathematics As Worship, David J. Stucki

ACMS Conference Proceedings 2001

In keeping with the mission of this organization to explore the relationship of faith to our discipline, I would like to take this opportunity to investigate the relationship, if any, between mathematics and worship. There have been throughout history, at least since Pythagoras, connections made between the mathematical and the theological. Many of these such efforts have followed the Pythagorean cult in deifying number, thus making mathematics the object of worship. Othes have effectively situated theology in subservience to mathematical reason. However, these are not the only alternatives.

Once we admit the possibility of a connection between mathematics and theology, …

Thml: Theological Markup Language For The Christian Classics Ethereal Library, Harry Plantinga

ACMS Conference Proceedings 2001

This document describes the Theological Markup Language (ThML), an XML markup language for theological texts. ThML was developed for use in the Christian Classics Ethereal Library (CCEL), but it is hoped that the language will serve as a royalty-free format for theological texts in other applications. Key design goals are that the language should be (1) rich enough to represent information needed for digital libraries and for theological study involving multiple, related texts, including cross-reference, synchronization, indexing, and scripture references, (2) based on XML and usable with World Wide Web tools, (3) automatically convertible to other common formats, and (4) …

Integration Of A Christian Perspective In The Mathematical Sciences, Johan De Klerk

ACMS Conference Proceedings 2001

No abstract provided.

Introduction (2001), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2001

Thirteenth ACMS Conference on Mathematics from a Christian Perspective

Table Of Contents (2001), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2001

Thirteenth ACMS Conference on Mathematics from a Christian Perspective

Schedule (2001), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2001

Thirteenth ACMS Conference on Mathematics from a Christian Perspective