Digital Commons Network^™

Multiple Solutions For A Dirichlet Problem With Jumping Nonlinearities Ii, Alfonso Castro, Ratnasingham Shivaji

All HMC Faculty Publications and Research

No abstract provided for this article.

Generalized Distance In Graphs, Garry L. Johns

Dissertations

No abstract provided.

General Equilbrium Analysis Of Price And Distribution Controls For Foodgrains And Textiles In India., P. V. Srinivasan Dr.

Doctoral Theses

Unlike in many developed countries, in India, institutions for distribution of goods and services are not well developed. Hence policy makers are concerned with the development of economic institutions to promote growth, remove unemployment and eradicate poverty. In addition to the general fiscal and monetary policy instruments such as taxes, su bsidies, bank rate, open market operations etc, the government also uses several price and non-price controls. For example, it administers the prices of essential inputs such as steel, coal, power ete, and distributes certain essential commodities through ration s hops at a price lower than the market prices.One way …

Analysis Of The Convergence History Of Fluid Flow Through Nozzles With Shocks, Mohammad Saleem, A Cheer, M Hafez, T Pulliam

Faculty Publications

"Convergence of iterative methods for the solution of the steady quasi-one-dimensional nozzle problem with shocks is considered. The finite-difference algorithms obtained from implicit schemes are used to approximate both the Euler and Navier-Stokes Equations. These algorithms are investigated for stability and convergence characteristics. The numerical methods are broken down into their matrix-vector components and then analyzed by examining a subset of the eigensystem using a method based on the Arnoldi process. The eigenvalues obtained by this method are accurate to within 5 digits for the largest ones and to within 2 digits for the ones smaller in magnitude compared the …

Remarks On A Semilinear Elliptic Equation On Rn, Yi Li

Mathematics and Statistics Faculty Publications

No abstract provided.

Locally Finite Families, Completely Separated Sets And Remote Points, Melvin Henriksen, Thomas J. Peters

All HMC Faculty Publications and Research

It is shown that if X is a nonpseudocompact space with a σ-locally finite π-base, then X has remote points. Within the class of spaces possessing a σ-locally finite π-base, this result extends the work of Chae and Smith, because their work utilized normality to achieve complete separation. It provides spaces which have remote points, where the spaces do not satisfy the conditions required in the previous works by Dow, by van Douwen, by van Mill, or by Peters.

The lemma: "Let X be a space and let {Cε: € < α} be a locally finite family of cozero sets of X. Let {Zε: € < α } be a family of zero sets of X such that for each € < α, Zε с Cε. Then ∪_ε<α Zε is completely separated from X/∪εCε", is a fundamental …

Spectral Measures, Orthogonal Polynomials, And Absolute Continuity, Joanne Dombrowski

Mathematics and Statistics Faculty Publications

This paper studies the spectral measure of an unbounded tridiagonal matrix operator for which the matrix entries satisfy a certain growth condition, and presents a sufficient condition for the existence of an absolutely continuous part. The results are related to a class of orthogonal polynomials with exponential weights.

Atamm Multicomputer System Design, William Robert Tymchyshyn

Electrical & Computer Engineering Theses & Dissertations

The Algorithm To Architecture Mapping Model, or ATAMM, is a graph theoretic design methodology that has been created to resolve design and performance issues involved with concurrent processing. Petri-net marked graphs are used to represent the computational environment.

This thesis describes the development of a multicomputer system which will operate within the bounds specified by the ATAMM model. The system is first designed and implemented using the framework of standard multicomputer design theory. A validation is then performed by the comparison of the system's computational performance to results predicted by ATAMM. This validation is shown to be successful for three …

The Decay And Formation Of One-Dimensional Nonconservative Shocks, Marek Elźanowski, Marcelo Epstein

Mathematics and Statistics Faculty Publications and Presentations

The method of singular surfaces is used to obtain explicit conditions under which a one-dimensional acceleration wave develops into a shock when some dissipation mechanism is present. The conditions which secure the initial growth of the strong shock wave propagating into an undeformed nonlinear and dissipative medium are also derived. The analysis is pre- sented for a single balance law, one-dimensional elasticity, and the non- linear Maxwellian continuum.

Riemann Surfaces: Distribution Of Weierstrass Points On Nodal Curves Of Genus 2, Kathryn A. Furio '88

Fenwick Scholar Program

No abstract provided.

Σary, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

Maximal Rank-One Spaces Of Matrices Over Chain Semirings, Daniel Joseph Scully

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Vectors and matrices over the Boolean (0,1) semiring have been studied extensively along with their applications to graph theory. The Boolean (0,1) semiring has been generalized to a class of semirings called chain semirings. This class includes the fuzzy interval. Vectors and matrices over chain semirings are examined. Rank-1 sets of vectors are defined and characterized. These rank-1 sets of vectors are then used to construct spaces of matrices (rank-1 spaces) with the property that all nonzero matrices in the space have semiring rank equal to 1. Finally, three classes of maximal (relative to containment) rank-1 spaces are identified.

Common Hyperplane Medians For Random Vectors, Theodore P. Hill

Research Scholars in Residence

No abstract provided.

Review Of “Constructive Combinatorics” By D. Stanton And D. White, Stephen B. Maurer

Mathematics & Statistics Faculty Works

No abstract provided.

Two Discrete Forms Of The Jordan Curve Theorem, Lawrence Stout

Scholarship

The Jordan curve theorem is one of those frustrating results in topology: it is intuitively clear but quite hard to prove. In this note we will look at two discrete analogs of the Jordan curve theorem that are easy to prove by an induction argument coupled with some geometric intuition. One of the surprises is that when we discretize the plane we get two Jordan curve theorems rather than one, a consequence of the interplay between two natural products in the category of graphs. Topology in this context has been studied by Farmer in [2]. To state the discrete versions, …

Self Consistent Model Of The Glow Discharge, Hao Chen

Electrical & Computer Engineering Theses & Dissertations

The strong spatial variation of the electric field intensity in the vicinity of the cathode of a gas discharge requires the use of microscopic methods to describe the nonequilibrium behavior of the electron dynamics in this region. A one-dimensional Monte Carlo code was developed. It allows one to obtain the distribution of the electron drift velocity and rate coefficients for a given electric field intensity in the cathode fall. The results of this calculation are used to find the density distribution of charged particles in this region and consequently, by means of Poisson's equation, a corrected electric field intensity. In …

I'Ll Carry My Coals Where They're Needed, Professor Henriksen, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.

Readings In Mathematics Education, Harriet Edwards

Humanistic Mathematics Network Journal

No abstract provided.

Foundational Studies And Mathematics Teaching, Allan Muir

Humanistic Mathematics Network Journal

No abstract provided.

Excerpts From And Inserts Into My January 23 Talk At The Mathematics As A Humanistic Discipline Session, Anneli Lax

Humanistic Mathematics Network Journal

No abstract provided.

Cognitive Science Studies Of Mathematical Thought, Robert B. Davis

Humanistic Mathematics Network Journal

No abstract provided.

Letter From The Editor, Issue 2, 1988, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

Please Carry Your Coals To Where They Are Needed, Professor Stein, Melvin Henriksen

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics And Philosophy*, D. Bushaw

Humanistic Mathematics Network Journal

No abstract provided.

The Basis For The Success Of The Potsdam Program, Rick Luttmann

Humanistic Mathematics Network Journal

No abstract provided.

Two Poems, Miroslav Holub

Humanistic Mathematics Network Journal

No abstract provided.

A Reply To The Question "Why Math?", Louis A. Talman

Humanistic Mathematics Network Journal

No abstract provided.

Stability Of Steady Cross-Waves: Theory And Experiment, Seth Lichter, Andrew J. Bernoff

All HMC Faculty Publications and Research

A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.

Study On Mappings And Maniforlds Of Fueter Hypercomplex And Almost Complex Types., Basudeb Dutta Dr.

Doctoral Theses

This thesis ie concerned chiefly with oertain families of smooth ... mappinga from domains in IRn to IRn which arise as natural generali- setione of complex anelytio mappinge. Thess Fueter families heve important hypercomplex aubfamilies defined via convergent Laurent series in one queternionio or actonionio veriable (with central coeffi- ofents). The various families and subfamdlies are olosed under compositior and inversion (when defined) of, meppinge consequently they form pseudo- groups on which one can model manifolds. The geometry of manifolde which oerry such ;Fueter or hypercomplex structure turna out to be qui ta %3D rich. In particular, they heve oanonioal …

On A Class Of Stochastic Approximation -Type Parameter-Learning Algorithms For Pattern Recognition., Amita Pal Dr.

Doctoral Theses

The first tank can involve one or more subtasks. For instance, it may require the design of a classifier on the basis of whatever prior knowledge there is of the feature space, or given the design, to estimate efficiently the parameters of the classifier. The latter might involve the estimation of the density function itself if very little is known about the class-conditional fenture distribution, or it may necessitate the entimation of the parameters of the fenture distribution, if one can assume it to have some known form. It may also involve estimating the boundaries of the classes, if even …