Physical Sciences and Mathematics Commons^™

Interpolation And Spectra Of Regular Lp-Space Operators, Karen Saxe

Karen Saxe

No abstract provided.

Why December 21 Is The Longest Day Of The Year, Stan Wagon

Stan Wagon, Retired

No abstract provided.

Editor's Corner: The Euclidean Algorithm Strikes Again, Stan Wagon

Stan Wagon, Retired

No abstract provided.

Efficient Application Of The Schauder-Tychonoff Theorem To Systems Of Functional Differential Equations, William F. Trench

William F. Trench

No abstract provided.

Bivariate C1 Quadratic Finite Elements And Vertex Splines, Tian-Xiao He

Tian-Xiao He

No abstract provided.

Spectral Evolution Of A One-Parameter Extension Of A Real Symmetric Toeplitz Matrix, William F. Trench

William F. Trench

No abstract provided.

An Analogue In Certain Unique Factorization Domains Of The Euclid-Euler Theorem On Perfect Numbers, Wayne L. Mcdaniel

UMSL Emeritus

Editorial, Issue 4, 1989, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

Front Matter, Issue 4, 1989

Humanistic Mathematics Network Journal

No abstract provided.

Pumps, Filters, And Lenses; Humanistic Issues In Calculus Reform, Dan Kalman

Humanistic Mathematics Network Journal

No abstract provided.

Reflections On Attending Three Contributed Paper Sessions On Humanistic Mathematics In Phoenix 1989, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.

The Visits Of Hassler Whitney To Brazil: Hassler Whitney, In Memoriam, Ubiratan D'Ambrosio

Humanistic Mathematics Network Journal

No abstract provided.

Hassler Whitney 1907-1989: Some Recollections, 1979·1989, Anneli Lax

Humanistic Mathematics Network Journal

No abstract provided.

Lessons From Cognitive Theory For Teaching Mathematical Modeling To Freshmen, Richard H. Elderkin

Humanistic Mathematics Network Journal

No abstract provided.

Pdp/Academic Excellence Workshops In Mathematics, M. Catharine Hudspeth

Humanistic Mathematics Network Journal

No abstract provided.

Education Is For The Students' Future, Hassler Whitney

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics Appreciation: A Humanities Course, Thomas L. Bartlow

Humanistic Mathematics Network Journal

No abstract provided.

Introducing Undergraduates To Mathematics Information Resources, Sallie H. Barringer

Humanistic Mathematics Network Journal

No abstract provided.

Abstracts Of All Papers Presented At The Humanistic Mathematics Sessions In Phoenix 1989

Humanistic Mathematics Network Journal

No abstract provided.

Tapping Creativity And Ingenuity Of Liberal Arts Majors In A Math Course, Helen Christensen

Humanistic Mathematics Network Journal

No abstract provided.

Back Matter, Issue 4, 1989

Humanistic Mathematics Network Journal

No abstract provided.

An Empowering, Participatory Research Model For Humanistic Mathematics Pedagogy, Arthur B. Powell, Dawud A. Jeffries, Aleshia E. Selby

Humanistic Mathematics Network Journal

No abstract provided.

Prophet Inequalities For Parallel Processes, Theodore P. Hill, D. P. Kennedy

Research Scholars in Residence

Generalizations of prophet inequalities for single sequences are obtained for optimal stopping of several parallel sequences of independent random variables. For example, if {X_{i, j}, 1 ≤ i ≤ n, 1 ≤ j < ∞} are independent non-negative random variables, then E(sup X_i,j) ≤ (n + 1) max sup {E(X_i,t): t is a stop rule for X_i,1, X_i,2, ...} and this bound is best possible. Applications are made to comparisons of the optimal expected returns of various alternative methods of stopping of parallel processes.

Local Molecular Temperature, Donald Greenspan

Mathematics Technical Papers

For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept, defined and studied previously for atoms, is extended in this paper to molecules. The fundamental formula involves Planck's constant, not Boltzmann's. Related dynamical calculations are described for approximating, theoretically, the melting points of N2, 02, CO, NO, and CH4, and the results are compared with those available experimentally.

Mat 751 Algebraic Topology I - Fall '89, David Handel

Mathematics Faculty Research Publications

A collection of notes for the course Mat 751, Algebraic Topology I, prepared by Professor David Handel of the Wayne State University Mathematics Department. The notes include examples, exercises, and additional lecture notes on related concepts.

On Minimal Triangle-Free 5-Chromatic Graphs, Charles M. Grinstead, Matthew H. Katinsky , '87, David William Van Stone , '88

Mathematics & Statistics Faculty Works

No abstract provided.

Local Atomic Temperature, Donald Greenspan

Mathematics Technical Papers

For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept is defined and studied in this paper. From computer studies of tetrahedral arrangements of four atoms, the constant which results in the formulation is Planck's constant, not Boltzmann's. Related dynamical calculations reveal that the approach yields good approximations for the melting point of the Noble gases, copper and alpha-iron.

Definitizable Extensions Of Positive Symmetric Operators In A Krein Space, Branko Ćurgus

Mathematics Faculty Publications

The Friedrichs extension and the Krein extension of a positive operator in a Krein space are characterized in terms of their spectral functions in a Krein space.

Optimal-Partitioning Inequalities In Classification And Multi-Hypotheses Testing, Theodore P. Hill, Y. L. Tong

Research Scholars in Residence

Optimal-partitioning and minimax risk inequalities are obtained for the classification and multi-hypotheses testing problems. Best possible bounds are derived for the minimax risk for location parameter families, based on the tail concentrations and Levy concentrations of the distributions. Special attention is given to continuous distributions with the maximum likelihood ratio property and to symmetric unimodal continuous distributions. Bounds for general (including discontinuous) distributions are also obtained.

Radially Symmetric Solutions To A Superlinear Dirichlet Problem In A Ball With Jumping Nonlinearities, Alfonso Castro, Alexandra Kurepa

All HMC Faculty Publications and Research

Let p,φ :[0,T] → R be bounded functions with φ > 0. Let g:R → R be a locally Lipschitzian function satisfying the superlinear jumping condition:

(i) lim u → - ∞ (g(u)/u) ε R

(ii) lim u → ∞ (g(u)/(u^{1 + ρ} )) = ∞ for some ρ > 0, and

(iii) lim u → ∞ (u/g(u))^N/2(NG(κ u) - ((N - 2)/2)u · g(u)) = ∞ for some κ ε (0,1] where G is the primitive of g.

Here we prove that the number of solutions of the boundary value problem Δu + g(u) = p(|x|) + cφ …