Showing papers in "American Mathematical Monthly in 1984"
TL;DR: Probability and Statistics with Reliability, Queuing and Computer Science Applications, Second Edition, offers a comprehensive introduction to probabiliby, stochastic processes, and statistics for students of computer science, electrical and computer engineering, and applied mathematics.
Abstract: Probability and Statistics with Reliability, Queuing and Computer Science Applications, Second Edition, offers a comprehensive introduction to probabiliby, stochastic processes, and statistics for students of computer science, electrical and computer engineering, and applied mathematics. Its wealth of practical examples and up-to-date information makes it an excellent resource for practitioners as well.
2,738 citations
TL;DR: A blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) is presented in this article.
Abstract: ...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations include many superb examples of computer graphics that are works of art in their own right." Nature
593 citations
501 citations
TL;DR: In this article, Trigonometry in Lorentzian geometry is discussed and the authors propose a trigonometry-in-lorentzians approach to the problem.
Abstract: (1984). Trigonometry in Lorentzian Geometry. The American Mathematical Monthly: Vol. 91, No. 9, pp. 543-549.
105 citations
82 citations
76 citations
TL;DR: The Jordan Curve Theorem via the Brouwer fixed point theorem has been studied in this paper for the first time and the results show that the Jordan curve Theorem can be expressed as follows:
Abstract: (1984). The Jordan Curve Theorem Via the Brouwer Fixed Point Theorem. The American Mathematical Monthly: Vol. 91, No. 10, pp. 641-643.
59 citations
TL;DR: On considere la methode de Newton en relation avec le probleme de literation de polynomes and la determination des zeros as discussed by the authors, a.k.a.
Abstract: On considere la methode de Newton en relation avec le probleme de l'iteration de polynomes et la determination des zeros
53 citations
[...]
40 citations
37 citations
TL;DR: In this paper, the authors present Factorization and Primality Tests for Factorization, Primality Test, and Factorization in the American Mathematical Monthly: Vol. 91, No. 6, pp. 333-352.
Abstract: (1984). Factorization and Primality Tests. The American Mathematical Monthly: Vol. 91, No. 6, pp. 333-352.
TL;DR: The Lagrange Multiplier Problem in Economics (LMMP) as discussed by the authors is a well-known problem in economics, and it has been studied extensively in the past few decades, e.g.
Abstract: (1984). Lagrange Multiplier Problems in Economics. The American Mathematical Monthly: Vol. 91, No. 7, pp. 404-412.
TL;DR: The Taylor expansion of and some applications of Taylor's Taylor expansion is discussed in this article, with a focus on the Taylor expansion and its application in the context of the Taylor classifier.
Abstract: (1984). Taylor Expansion of and Some Applications. The American Mathematical Monthly: Vol. 91, No. 5, pp. 303-307.
TL;DR: The Steinitz lemma and Helly's theorem were proved by Pach's number as discussed by the authors, which is the number of the number used by Steinitz and Pach in their paper.
Abstract: Keywords: Steinitz lemma ; Helly's theorem Note: Professor Pach's number: [016] Reference DCG-ARTICLE-1984-002doi:10.2307/2322144 Record created on 2008-11-14, modified on 2017-05-12
TL;DR: In this paper, the authors summarize the history of Jech's method and some of the debate over his claims and present a broad literature on the method of paired comparisons; they suggest that the reader interested in further information see David [4] and Bradley [2] for a summary.
Abstract: Introduction Tom Jech, in his MONTHLY article of April 1983 [8], claims to have found the "one and only one correct way of comparing teams according to their records even when their playing schedules are not identical" Although Jech's justification for his method is new, the method of comparison is old (it has been discovered independently by Zermelo [14], Bradley and Terry [3], and Ford [7] among others), much is known about it, and Jech's claim and his justification for it have been challenged by some MONTHLY readers Here we intend to summarize the history of Jech's method and some of the debate over his claims There is a vast literature on the method of paired comparisons; we don't intend this note to be exhaustive and we suggest that the reader interested in further information see David [4] and Bradley [2]
TL;DR: In this article, Van Der Waerden's Nowhere Differentiable Function (NDF) is considered and the authors propose a solution to the problem of the Nowhere Diffiable Function.
Abstract: (1984). On Van Der Waerden's Nowhere Differentiable Function. The American Mathematical Monthly: Vol. 91, No. 5, pp. 307-308.
TL;DR: The Measurability of uncountable unions was discussed in this article, where it was shown that the number of unions is bounded by a factor of n. The American Mathematical Monthly: Vol. 91, No. 2, pp. 85-97.
Abstract: (1984). The Measurability of Uncountable Unions. The American Mathematical Monthly: Vol. 91, No. 2, pp. 85-97.
TL;DR: In this article, a Periodicity Problem in Plane Geometry (PGP) is considered. But it is not a regularization problem, it is a periodicity problem in plane geometry.
Abstract: (1984). A Periodicity Problem in Plane Geometry. The American Mathematical Monthly: Vol. 91, No. 2, pp. 97-108.
TL;DR: The Fractal Geometry of Nature as discussed by the authors is a seminal work in the field of fractal geometry of nature, with a focus on fractal geometrical models of nature.
Abstract: (1984). The Fractal Geometry of Nature. By Benoit B. Mandelbrot. The American Mathematical Monthly: Vol. 91, No. 9, pp. 594-598.
TL;DR: In this article, a definition of the processus de Poisson is presented, and a set of results about the erreur d'approximation of certain variables aleatoires par des distributions of Poisson are presented.
Abstract: On donne certains resultats concernant l'erreur d'approximation de certaines variables aleatoires par des distributions de Poisson. On applique ces resultats a une definition du processus de Poisson