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Showing papers in "American Mathematical Monthly in 1962"


Journal ArticleDOI
TL;DR: In this article, the authors studied the relationship between college admission and the stability of marriage in the United States, and found that college admission is correlated with the number of stable marriages.
Abstract: (2013). College Admissions and the Stability of Marriage. The American Mathematical Monthly: Vol. 120, No. 5, pp. 386-391.

5,655 citations


Journal ArticleDOI
TL;DR: In this paper, the authors describe the nature of decision problems in drilling for gas and oil, a business situation where uncertainties are exceptionally great, and describe how businessmen actually make drilling decisions in the face of these uncertainties.
Abstract: In general, this book is concerned with capital budgeting and decision theory. Specifically, it centers around a singular uncertainty decision the decision by oil and gas operators to drill, or not to drill, a well. Actually, a sequence of decisions must precede this final action, but each one of these preliminary decisions is principally directed toward the final payoff question: Should we invest money in this well? If so, how much should we risk, and how much of the risk should we share with others? The objective of this book is twofold. The first objective is to describe the nature of decision problems in drilling for gas and oil, a business situation where uncertainties are exceptionally great, and to describe how businessmen actually make drilling decisions in the face of these uncertainties. This descriptive section, of great interest in its own right, then provides the foundation for the second objective, which is to explore the possibilities of applying \"decision theories\" to such decisions. This second objective is normative or prescriptive in its attempt to provide the driller with better guides to consistent action to meet his own goals. The presentation of the applications of mathematical theories is kept clear and simple, and the methods suggested for dealing with these problems can be understood by a reader with only a working knowledge of arithmetic and high school algebra. This book should be of interest to several audiences, among whom are the following: ( 1 ) people in the oil industry; (2) people in other industries who are actively interessed in finding ways of making better decisions in situations of risk and uncertainty; and (3) people whose interests are perhaps inore academic and who are concerned with both theory and practice in the area of decision making. xmlui.dri2xhtml.METS1.0.item-descriptionmiscellaneous 380 p., graph. Search all I-Revues This Collection

800 citations









Journal ArticleDOI
TL;DR: In this paper, an introduction is given to some recent developments connected with properties of compact sets of continuous functions, and complete proofs are not given, but their main ideas are explained.
Abstract: : An introduction is given to some recent developments connected with properties of compact sets of continuous functions. Complete proofs are not given, but their main ideas are explained. (Author)

72 citations



Journal ArticleDOI
TL;DR: A theorem on n-coloring the points of a linear graph is given in this article, where the color of the points is defined as a function of the number of points in the graph.
Abstract: (1962). A Theorem on n-Coloring the Points of a Linear Graph. The American Mathematical Monthly: Vol. 69, No. 7, pp. 623-624.

Journal ArticleDOI
TL;DR: In this paper, an extension of the self-homeomorphisms of a Compact Metric Space is presented, which is called the Expansive Self-Homeomorphisms (ESH) of a compact metric space.
Abstract: (1962). Expansive Self-Homeomorphisms of a Compact Metric Space. The American Mathematical Monthly: Vol. 69, No. 5, pp. 386-391.


Journal ArticleDOI
TL;DR: In this paper, the Binary Ring Sequences (BERS) were used to represent binary ring sequences, and they were shown to have a binary ring sequence in the following order:
Abstract: (1962). Binary Ring Sequences. The American Mathematical Monthly: Vol. 69, No. 9, pp. 852-855.

Journal ArticleDOI
TL;DR: In this paper, a linear operation on matrices is presented. But linear operations on matrix do not have a linear operator and linear operations cannot be expressed as linear operations, either.
Abstract: (1962). Linear Operations on Matrices. The American Mathematical Monthly: Vol. 69, No. 9, pp. 837-847.





Journal ArticleDOI
TL;DR: In this paper, the authors introduce the concept of complex analysis and propose a complex analysis framework for complex analysis in the context of complex data analysis, including the following concepts: Introduction to complex analysis,
Abstract: Introduction to complex analysis , Introduction to complex analysis , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی


Journal ArticleDOI
TL;DR: Some results on order-convexity are given in this paper, where the authors consider the case where order is defined as a product of order and concaveity of order.
Abstract: (1962). Some Results on Order-Convexity. The American Mathematical Monthly: Vol. 69, No. 5, pp. 357-359.




Journal ArticleDOI
TL;DR: In this paper, area-perimeter relations for two-dimensional lattices were studied. But the authors focused on the area of the lattice rather than the area around it.
Abstract: (1962). Area-Perimeter Relations for Two-Dimensional Lattices. The American Mathematical Monthly: Vol. 69, No. 8, pp. 742-744.