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Beauty In Mathematics: Some Theological Implications, David L. Neuhouser

ACMS Conference Proceedings 1989

It may come as a surprise to some that science or mathematics could be considered beautiful, but many prominent sciences and mathematicians from around the world have made such claims. Furthermore, the beauty of mathematics and order of the universe inspired some of the greatest developments in science and mathematics. This paper examines the beauty of mathematics and what scientists and other individuals have said about the subject.

Using Writing In The Mathematics Classroom, Dr. Barbara J. Rose

ACMS Conference Proceedings 1989

No abstract provided.

Mathematics Between The Lines Of Ecclesiates, Donald A. Joesphson

ACMS Conference Proceedings 1989

No abstract provided.

Writing Across The Curriculum Using Statistics, Carlos A. Pereira

ACMS Conference Proceedings 1989

No abstract provided.

Written Assignments In College Freshman And Sophomore Mathematics Courses, Jean Alliman

ACMS Conference Proceedings 1989

No abstract provided.

Mathematical Modeling In The Classroom, Jefferson Hartzler

ACMS Conference Proceedings 1989

No abstract provided.

The Fourth Dimension And The Theology Of Edwin Abbot Abbott, Thomas F. Banchoff

ACMS Conference Proceedings 1989

No abstract provided.

Schedule (1989), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1989

A Seventh Conference on Mathematics from a Christian Perspective

Gene B. Chase, Editor

Introduction (1989), Gene B. Chase

ACMS Conference Proceedings 1989

A Seventh Conference on Mathematics from a Christian Perspective

Gene B. Chase, Editor

Table Of Contents (1989), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1989

A Seventh Conference on Mathematics from a Christian Perspective

Gene B. Chase, Editor

The Fourth Dimension And The Theology Of Edwin Abbott Abbott, Thomas Banchoff

ACMS Conference Proceedings 1989

This paper is a brief biography of Edwin Abbott Abbott, author of Flatland, and a sketch of the main ideas in the book. It also incorporates some personal reflections.

Homoclinic Bifurcations With Nonhyperbolic Equilibria, Bo Deng

Department of Mathematics: Faculty Publications

A general geometric approach is given for bifurcation problems with homoclinic orbits to nonhyperbolic equilbrium points of ordinary differential equations. It consists of a special normal form called admissible variables, exponential expansion, strong A-lemma, and Lyapnunov- Schmidt reduction for the Poincare maps under Sil'nikov variables. The method is based on the Center Manifold Theory, the contraction mapping principle, and the Implicit Function Theorem.

Σary, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

Applications Of The Calculus For Factorial Arrangements And Allied Topics., Mausumi Bose Dr.

Doctoral Theses

This thesis deals primarily with the application of the calculus for factorial ar- rangements (Kurkjian and Zelen (1962, 1963)) to various designs. The thesis has been divided into six chapters. We have made extensive use of Kronecker products and various other results from matrix theory. The results in the first two chapters involve the use of projection operators.In the first four chapters, different classes of factorial experiments have been studied by applying the calculus. Chapter 5 deals with another class of designs called repeated measurements designs (RMD's). It has been shown that the calculus for factorial arrangements serves as a …

On Uniform And Relative Distribution In The Brauer Group, Gary R. Greenfield

Department of Math & Statistics Technical Report Series

In this progress/technical report our objective is twofold. First, to formalize and expand upon remarks appearing in [7] concerning the relativization of the fundamental identity in the setting of the Brauer group of a ring, and second to exhibit a construction which shows how to interpret uniform distribution as a homological phenomenon.

Isometries Homotopic To The Identity, Douglas A. Norris

Mathematics and Computer Science

The types of surfaces which admit nontrivial isometries homotopic to the identity are classified up to diffeomorphism. In dimension three this is done for complete manifolds of constant negative curvature. Three-dimensional visibility manifolds that admit nontrivial isometries homotopic to the identity are shown to be diffeomorphic to a product L x RI.

Software For The Computation Of The Capacity Of The Polyhedra, C. Sue Brown

Mathematics Technical Papers - Archive

This program computes the boundary values for a selected function and then computes the values on an interior domain by solving the governing dirichlet problem. The boundary is defined by the inverted tetrahedron with an insphere of unit radius, centered at the origin.

A Note On Roe's Characterization Of The Sine Function, Ralph Howard

Faculty Publications

No abstract provided.

Some Contributions To The Asymptotic Theory Of Estimation In Non Regular Case., Tapas Samnta Dr.

Doctoral Theses

The introduction of the concept of onymptotie efficiency of statistical eatimators in connection with proposing and developing she method of maximu, 1ikelihood by . Fislior (Fisher (1922, 1929)) 1s really the atar ting point of the asymptotie theory of es timation. -istorieally, however, Laplace (1774) and Gausa (1009) had made tuo irferent studieo oarlier then Fisher bo ti connected d th as ymp to tie theory of estination. Fisher considered only consistent a symptotically rewnal untinotoro and meured the asyaptotie performance of an anti- mator by ite aayep totle variaree. Thus, a coreistent aeynp to tieally nomal eetimoator with let …

Connections On Small Vertex Model., R. Srinivasan Dr.

Doctoral Theses

This thesis is devoted to the classification of a special class of commuting squares called vertex models.The first chapter is indroductory in nature and is included for the sake of completeness and convenience of reference. It starts with the description of the basic construction and the invariants called the principal and dual graph for an inclusion of II1, factors. After defining a commuting square we describe the special class of commuting squares called vertex model given by an Mn, O Mk, biunitary matrix . Finally we state some results, without proof, about vertex nodels from (KSC).The second chapter in the …

On Consisten Estimation Of Classes In R2 In The Context Of Cluster Analysis., C. A. Murthy Dr.

Doctoral Theses

Brief reviow of oluater analysis. The literature on oluater analy ste is baaically orianted touerda the development of algori thme 1,2,3, 4, 5]. Andaxberg [1] gives the verloue stepo in aluster analy al a starting from the chai ce of data pointa to interpreting the results. Harti gan 5] desoribes veari oun cluatering algo- ri thms in hin book. He also states the ueos of tho ae methoda in vari oue fielde. Jardines end Sibaon [6] dovelopa meaoures of di ssimilarity and regerde a alustor mothod as a funotion from di andmilori tymatrlces to trees. Clustering tochniquos can ba broadly …

An Analysis Of Spatial Patterns And Growth Of Indian Agricultural Activities., Rabindranath Mukhopadhyay Dr.

Doctoral Theses

The main objective of this dissertation has been an empirical identification and evaluation of the regional variations in the pattern and growth of agricultural activities in India during the period 1960-61 to 1980-81, with appropriate use of some of the advanced quantitative methods and statistical tools developed recently in the field of Regional Insolent and Planning. During the period under consideration, the over all national agricultural presumptions have greatly been improved, eliminating India;s dependence on food grain imports, through certain intense-fiction measures initiated at the beginning of the period. But the pursuance of overall growth efforts has not been interwoven …

Some Contributions To Directional Statistics: Characterixation And Asymptotics., Sumitra Purkayastha Dr.

Doctoral Theses

In many natural and physical sciences the obser- vations are in the form of directions in 2- or 3-dimensional Euclidean space or rotations of such a space. In the former case, it is tustomary to represent the observations by points on the unit ball in R2 or R3, or more.generally, Rp. In the latter case, the observations are represented by orthogonal matrices having determinant +1, or more generally, by nxp (ngp) matrices A satisfying AAt=In,i.e., by elements of Stiefel manifold. Examples .of observations on directions in 2-dimensional space include those on wind direction or on flight direction of birds, Similarly, …

Robustness & Precision Of Parametric & Distribution-Free Tolerance Limits For Two Lifetime Distributions, Wei Kei Shiue, Lee J. Bain

Mathematics and Statistics Faculty Research & Creative Works

Exact parametric tolerance limits or confidence limits on reliability are not available for the gamma distribution, and it is, difficult to determine approximate methods which are accurate for all parameter values. The precision lost by using the distribution-free tolerance-limit method based on the first order statistic, compared to using an approximate gamma tolerance limit method is studied. The robustness of the approximate gamma tolerance limit when the true model is Weibull and the robustness of a Weibull tolerance limit when the true model is gamma are also studied. The efficiency of the distribution-free method ranges from about 0.60 to 0.90 …

Periodic Points For Homeomorphisms Of Hereditarily Decomposable Chainable Continua, W. T. Ingram

Mathematics and Statistics Faculty Research & Creative Works

In this paper it is shown that homeomorphisms of hereditarily decomposable chainable continua cannot have periodic points whose periods are not powers of two. Examples show that for each power of two there is a hereditarily decomposable chainable continuum and a homeomorphism of it which has a periodic point of period that power of two. © 1989 American Mathematical Society.

The Semigroup Of One-To-One Transformations With Finite Defects., Inessa Levi

Faculty Bibliography

No abstract provided.

Nonnegative Solutions To A Semilinear Dirichlet Problem In A Ball Are Positive And Radially Symmetric, Alfonso Castro, Ratnasingham Shivaji

All HMC Faculty Publications and Research

We prove that nonnegative solutions to a semilinear Dirichlet problem in a ball are positive, and hence radially symmetric. In particular, this answers a question in [3] where positive solutions were proven to be radially symmetric. In section 4 we provide a sufficient condition on the geometry of the domain which ensures that nonnegative solutions are positive in the interior.

Alexander's Subbase Lemma, Todor D. Todorov, S. Salbany

Mathematics

No abstract provided.

Sharp Lower Bounds For A Generalized Jensen Inequality, A. K. Rigler, S. Y. Trimble, R. S. Varga

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Changing Modes Of Thought: Non-Euclidean Geometry And The Liberal Arts, Thomas Q. Sibley

Mathematics Faculty Publications

No abstract provided.