Introduction For many years my family and I have enjoyed outdoor classic theatre at American Players Theatre (APT) in Spring Green, WI, located just under 100 miles from where we live. We usually picnic on the grounds, attend the play, and return by...
This paper describes procedures that are used to analyze proposals that arise in the acquisition of military systems by the Department of Defense, a scenario that involves elements of both conflict and cooperation. Current practices lead to...
ABSTRACT. The network television game involves three players, with each player trying to maximize his share of the market. An example is developed that illustrates how game theory can be applied to determine optimal competitive choices, given the...
To paraphrase Sigmund Freud, What do physicists want? It takes no psychoanalysis to figure out what teachers of the introductory course in physics want. They want students with experience and skills in quantitative methods. These skills are generally...
The game Klappenspiel (flipping game) is a traditional German game of flipping tiles according to dice rolls. In this paper, we derive the optimal strategy for this game by using dynamic programming. We show that the probability of winning using the...
Not so long ago most mathematicians showed little interest, and some of them even a little contempt, for the history, and the historian, of mathematics. This race has not yet died out. True, history was good for an anecdote or two: the vegetarian...
For the past several decades Presidents have been noted for the wars they have fought. Lyndon Johnson was famous for the war on poverty and the war in Vietnam. President Nixon was famous for ending the war in Vietnam and his war against crime and...
In October, 1977, the respected Institute for Electrical and Electronic Engineers was startled to receive a cryptic warning that it was about to violate a federal law against international traffic in arms.
Models of population growth are frequently employed for educational purposes. In this article we propose some reasons why this is a sensible thing to do. We also provide some answers to the query who cares about population models, anyway? To begin, we...
Artificial intelligence (commonly referred to as A.I.) can be regarded as a subfield of computer science, or more broadly, as an independent body of knowledge having a large, recognizable component that can rightly be identified as a subfield of...
The fundamental common concept of all applied mathematics is a mathematical model. Before the twentieth century, most of mathematics, pure and applied, was concerned with the analysis of mathematical models of physical phenomena. Since the advent of...
As part of one of our mathematics courses, we decoded the Missouri driver's license code, using Gallian 119921 as a guide. It was a lot of fun Prof. Gallian admits in the article that he does not know where Missouri got its weighting factors for the...
Introduction In addition to the traditional choices of one problem each oriented toward continuous mathematics and discrete mathematics, the 2016 Mathematical Contest in Modeling (MCM) will offer for the first time the choice of a problem featuring...
In 1849 a German forester , Martin Faustmann, published a model for the optimal harvesting of timber. This model was almost completely ignored for more than a century; however, recently it has been the focus of a good bit of attention from both the...
Applied mathematics in an industrial setting often involves the reformulation of problems stated in nonmathematical language, the writing of computer programs for the numerical solution of the mathematical problems, the ability to work as part of a...
Few would question whether mathematicians contribute to the study of the physical sciences. Physicists and engineers are frequently so highly skilled as mathematicians that it is difficult to judge where such fields as theoretical physics differ from...
Abstract Mathematics is often advertised as pure, applied, or computational. What are the differences, and how relevant is pure mathematics in a world that is increasingly digital? We will explore these themes and discover important tools that are at...
This article describes a practical problem that arises when not all of the possible sizes for an industrial product can be stocked, and demands for unstocked sizes are met by using larger stocked sizes (subsequently cut). The study was suggested by...
For several years the Department of Biophysical Sciences at the State University of New York at Buffalo has given a course in which instruction in decision analysis. as applied to medical practice, is interspersed with instruction in biophysical,...