Showing papers in "American Mathematical Monthly in 1966"
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TL;DR: Can one hear the shape of a drum? as discussed by the authors, 1966; The American Mathematical Monthly: Vol. 73, No. 4P2, pp. 1-23.
Abstract: (1966). Can One Hear the Shape of a Drum? The American Mathematical Monthly: Vol. 73, No. 4P2, pp. 1-23.
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TL;DR: The existence of reasonably dense lattice coverings and reasonably economical lattice covers has been studied in this article, where the authors show that simplices cannot be very dense and coverings with spheres cannot have very economical coverings.
Abstract: Introduction 1. Packaging and covering densities 2. The existence of reasonably dense packings 3. The existence of reasonably economical coverings 4. The existence of reasonably dense lattice packings 5. The existence of reasonably economical lattice coverings 6. Packings of simplices cannot be very dense 8. Coverings with spheres cannot be very economical Bibliography Index.
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TL;DR: The theory of round robin tournaments has been studied extensively in the literature, see as mentioned in this paper for an overview. But it has not been studied in the mathematical community yet, see, e.g.,
Abstract: (1966). The Theory of Round Robin Tournaments. The American Mathematical Monthly: Vol. 73, No. 3, pp. 231-246.
TL;DR: In this paper, the Jordan Canonical Form in the discussion of linear systems with constant coefficients has been avoided in the context of linear system with constant coefficients, and the authors propose an alternative approach to avoid it.
Abstract: (1966). Avoiding the Jordan Canonical Form in the Discussion of Linear Systems with Constant Coefficients. The American Mathematical Monthly: Vol. 73, No. 1, pp. 2-7.
TL;DR: In this paper, the authors present Flow Networks and Combinatorial Operations Research (FOCR) as a method for combinatorial operations research in the field of flow networks.
Abstract: (1966). Flow Networks and Combinatorial Operations Research. The American Mathematical Monthly: Vol. 73, No. 2, pp. 115-138.
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