Showing papers in "American Mathematical Monthly in 1969"
TL;DR: Central concerns of the book are related theories of recursively enumerable sets, of degree of un-solvability and turing degrees in particular and generalizations of recursion theory.
3,665 citations
TL;DR: In this paper, dynamique des : fluides reference record created on 2005-11-18, modified on 2016-08-08 was used for dynamique de fluides Reference Record.
Abstract: Keywords: dynamique des : fluides Reference Record created on 2005-11-18, modified on 2016-08-08
804 citations
TL;DR: Some results on fixed points were discussed in this article, where the authors proposed a method for computing fixed points in a fixed point set, using fixed points as the fixed point function.
Abstract: (1969). Some Results on Fixed Points—II. The American Mathematical Monthly: Vol. 76, No. 4, pp. 405-408.
519 citations
152 citations
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TL;DR: In this paper, the Formal Power Series was extended to the formal power series and the American Mathematical Monthly: Vol. 76, No. 8, pp. 871-889.
Abstract: (1969). Formal Power Series. The American Mathematical Monthly: Vol. 76, No. 8, pp. 871-889.
123 citations
113 citations
TL;DR: In this article, the Elusive Fixed Point Property (ELFP) has been studied in the context of algebraic geometry, and it is shown that the ELFP property can be obtained.
Abstract: (1969). The Elusive Fixed Point Property. The American Mathematical Monthly: Vol. 76, No. 2, pp. 119-132.
91 citations
TL;DR: In this article, a general chain rule for derivatives and a change of variables formula for the Lebesgue Integral is presented, which is a generalization of the change-of-variables formula for derivatives.
Abstract: (1969). A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral. The American Mathematical Monthly: Vol. 76, No. 5, pp. 514-520.
90 citations
83 citations
78 citations
TL;DR: In this paper, the authors present a list of series titles for the Brownian Motion Process (BMP) and the Central Limit Problem (CLP) with a focus on the central limit problem.
Abstract: Foundations Laws of Large Numbers and Random Series Limiting Distributions and the Central Limit Problem The Brownian Motion Process Appendix Bibliography Index List of Series Titles.
TL;DR: In this article, the American Mathematical Monthly: Vol. 76, No. 7, pp. 791-791, the authors discuss the Erdos number and what is the number of Erdos.
Abstract: (1969). And What is Your Erdos Number? The American Mathematical Monthly: Vol. 76, No. 7, pp. 791-791.
TL;DR: In this paper, the similarity and the diagonal of a matrix were discussed. But they focused on the similarity of the diagonal of the matrix and not the similarity between the two dimensions.
Abstract: (1969). On Similarity and the Diagonal of a Matrix. The American Mathematical Monthly: Vol. 76, No. 2, pp. 167-169.
TL;DR: In this article, the authors present a problem in Cartography, which they call A Problem in Cartographic Problem in Mathematical Programming. The American Mathematical Monthly: Vol. 76, No. 10, pp. 1101-1112.
Abstract: (1969). A Problem in Cartography. The American Mathematical Monthly: Vol. 76, No. 10, pp. 1101-1112.
TL;DR: In this paper, the expected volume of a Simplex whose vertices are chosen at random from a given convex body is investigated, and the authors show that the number of vertices chosen depends on the complexity of the complex.
Abstract: (1969). What is the Expected Volume of a Simplex Whose Vertices are Chosen at Random from a Given Convex Body? The American Mathematical Monthly: Vol. 76, No. 3, pp. 286-288.
TL;DR: Partition Identities from Euler to the present as discussed by the authors is a collection of partition identities from the present to the early 1970s, from the perspective of Euler and his successors.
Abstract: (1969). Partition Identities—From Euler to the Present. The American Mathematical Monthly: Vol. 76, No. 7, pp. 733-746.
TL;DR: In this paper, the authors introduce the concept of the "buffon's noodle problem" and show that it can be solved in polynomial time with a simple solution.
Abstract: (1969). Buffon's Noodle Problem. The American Mathematical Monthly: Vol. 76, No. 8, pp. 916-918.
TL;DR: In this article, the authors show that every polygonal region in the world is luminous from some point in the plane, regardless of the distance from the point of view of the sun.
Abstract: (1969). Is Every Polygonal Region Illuminable from Some Point? The American Mathematical Monthly: Vol. 76, No. 2, pp. 180-180.
TL;DR: In this paper, the authors present a topological space with minimum neighborhoods, which they call Topological Spaces with Minimum Neighborhoods (TSN). But they do not specify the topology.
Abstract: (1969). Notes on Topological Spaces with Minimum Neighborhoods. The American Mathematical Monthly: Vol. 76, No. 6, pp. 616-627.
TL;DR: The Central Limit Theorem for the prime divisor function has been studied in this article, where the central limit theorem for the Prime Divisor Function has been proved for the first time.
Abstract: (1969). On the Central Limit Theorem for the Prime Divisor Function. The American Mathematical Monthly: Vol. 76, No. 2, pp. 132-139.
TL;DR: In this paper, the joint continuuity of monotonic functions is studied and the authors propose a joint continuity model for monotone functions, which they call Joint Continuity of Monotonic Functions (JCLF).
Abstract: (1969). Joint Continuity of Monotonic Functions. The American Mathematical Monthly: Vol. 76, No. 1, pp. 74-76.
TL;DR: In this paper, Filling Boxes with Bricks is described as "filling boxes with bricks" and is shown to be useful for filling boxes with trees and grasses.
Abstract: (1969). Filling Boxes with Bricks. The American Mathematical Monthly: Vol. 76, No. 1, pp. 37-40.
TL;DR: In this paper, a Countable, Connected, Locally Connected Hausdorff Space (CCLHC) is presented. But it does not consider the Hausdorn space.
Abstract: (1969). A Countable, Connected, Locally Connected Hausdorff Space. The American Mathematical Monthly: Vol. 76, No. 2, pp. 169-171.
TL;DR: In this article, generalizations of the Theorems of Pappus are discussed, and a generalization of the Pappas Theorem is presented in the American Mathematical Monthly: Vol. 76, No. 4, pp 355-366.
Abstract: (1969). Generalizations of the Theorems of Pappus. The American Mathematical Monthly: Vol. 76, No. 4, pp. 355-366.
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TL;DR: In this paper, Souslin's Conjecture has been studied in the context of algebraic geometry, and the results show that the conjecture holds for the following classes of classes:
Abstract: (1969). Souslin's Conjecture. The American Mathematical Monthly: Vol. 76, No. 10, pp. 1113-1119.