Mathematics Commons^™

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.

Cost Domination In Graphs, David John Erwin

Dissertations

Let G be a connected graph having order at least 2. A function f : V (G) —> {0 , 1 , . . . , diam G} for which f ( v ) < e(v) for every vertex v of G is a cost function on G. A vertex v with f ( v ) > 0 is an f-dominating vertex, and the set Vj~ = {v 6 V(G) : f(v) > 0} of f-dominating vertices is the f-dominating set. An /-dominating vertex v is said to f-dominate every vertex u with d(n, v) < f(u ), while …

A Dynamical Model Of The Distributed Interaction Of Intracellular Signals, Adrienne C.N. James

Dissertations

A major goal of modern cell biology is to understand the regulation of cell behavior in the reductive terms of all the molecular interactions. This aim is made explicit by the assertion that understanding a cell's response to stimuli requires a full inventory of details. Currently, no satisfactory explanation exists to explain why cells exhibit only a relatively small number of different behavioral modes.

In this thesis, a discrete dynamical model is developed to study interactions between certain types of signaling proteins. The model is generic and "connectionist" in nature and incorporates important concepts from the biology. The emphasis is …

Efficient Inversion Methods In Underwater Acoustics, Xiaoqun Ma

Dissertations

This dissertation describes efficient methods developed and implemented for source localization and sound speed and bottom depth estimation using sound propagation in the ocean. The proposed inversion techniques are based on the linearization of the generally non-linear inverse problem of parameter estimation in underwater acoustics. These techniques take into account properties of the ocean environment and are accurate in their estimation results without being prohibitively computationally intensive. For the inversion, select ray paths are taken into account: the direct, first surface bounce, and first bottom bounce. Ray travel time derivatives with respect to parameters that affect path arrival times are …

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

Some Aspects Of Banks And Financial Markets In Emerging Economics., Gurbachan Singh Dr.

Doctoral Theses

Liquidity and Bank RunsThe policy of deposit insurance in the banking sector has succeeded in pre- venting bank runs but it has encouraged moral haxard (Kane, 1985 and 1989). This has increased the cost of capital. So the government and/or the central bank need to regulate (Flannery, 1982). In chapter 2, we ask the question - Is there an alternative to deposit insurance? What is the role of equity capital in this context? Is full insurance optimal?The seminal paper on bank runs by Diamond and Dybvig (1983) argues that a lack of deposit insurance leads to muitiple Nash equilibria, including …

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

A Geometry Course For Prospective Secondary School Teachers, Jeff Connor, Barbara Grover

Humanistic Mathematics Network Journal

No abstract provided.

Zero, Sheila A. Mcneill

Humanistic Mathematics Network Journal

No abstract provided.

Journal Review: Third International Anthology On Paradoxism, Joanne Growney

Humanistic Mathematics Network Journal

No abstract provided.

Students And Their Learning From Reading, Chris Fenwick

Humanistic Mathematics Network Journal

My aim in this article is to summarize work I have done over the last three years, focusing on the issue of helping students learn from whatever mathematics text they read. Although these types of texts generally contain 3 modes of communication, namely technical English, the language of mathematics itself and diagrams, I will focus this article only on the technical English of such texts. The idea, then, that students can develop techniques and strategies for learning from what they read is generally known as “reading to learn.”

A Note On The Decimal Numeral System, Shaharir Bin Mohamad Zain

Humanistic Mathematics Network Journal

No abstract provided.

Real Numbers, Math Lives, Arnold L. Trindade

Humanistic Mathematics Network Journal

No abstract provided.

Hotel Infinity, Lawrence Mark Lesser

Humanistic Mathematics Network Journal

No abstract provided.

Naïve Thoughts On The Paradox Of Gödel, Philip J. Davis

Humanistic Mathematics Network Journal

No abstract provided.

Mathematical Constance (A Poem Dedicated To Constance Reid), Arthur T. Benjamin

All HMC Faculty Publications and Research

Mathematical Constance (A Poem Dedicated to Constance Reid)

I think that I shall never see

A constant lovelier than e,

Whose digits are too great too state,

They're 2.71828…

And e has such amazing features

It's loved by all (but mostly teachers).

With all of e's great properties

Most integrals are done with … ease.

Theorems are proved by fools like me

But only Euler could make an e.

I suppose, though, if I had to try

To choose another constant, I

Might offer i or phi or pi.

But none of those would satisfy.

Of all the …

Towards Regional Assimilation Of Lagrangian Data: The Lagrangian Form Of The Shallow Water Reduced Gravity Model And Its Inverse, J. L. Mead, A. F. Bennett

Mathematics Faculty Publications and Presentations

Variational data assimilation for Lagrangian geophysical fluid dynamics is introduced. Lagrangian coordinates add numerical difficulties into an already difficult subject, but also offer certain distinct advantages over Eulerian coordinates. First, float position and depth are defined by linear measurement functionals. Second, Lagrangian or ‘comoving’ open domains are conveniently expressed in Lagrangian coordinates. The attraction of such open domains is that they lead to well-posed prediction problems [Bennett and Chua (1999)] and hence efficient inversion algorithms. Eulerian and Lagrangian solutions of the inviscid forward problem in a doubly periodic domain, with North Atlantic mesoscales, are compared and found to be in …

What "Is" Mathematics?: In Memoriam Of Gian-Carlo Rota, Gian-Carlo Rota

Humanistic Mathematics Network Journal

No abstract provided.

Poetry, Arnold L. Trindade

Humanistic Mathematics Network Journal

No abstract provided.

Problems In Which Given Information Is Ignored, Howard Wachtel

Humanistic Mathematics Network Journal

A set of problems is presented and discussed for which there is a tendency for students to ignore part of the given information in the problem and to substitute some extraneous assumptions. Typical student reactions are also discussed.

The Need To Diversify The Ranks Of Teachers Of Mathematics, Frederick L. Uy

Humanistic Mathematics Network Journal

This paper intends to give rationales for the need to diversify the ranks of teachers of mathematics. It also suggests ideas that we can take to alleviate the situation that we currently are confronting.

Announcement: Association For Women In Mathematics Mentor Network

Humanistic Mathematics Network Journal

No abstract provided.

Educating The Public About School Mathematics, Zalman Usiskin

Humanistic Mathematics Network Journal

No abstract provided.