Showing papers in "American Mathematical Monthly in 1965"
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TL;DR: The best possible inequalities for the probability of a logical function of events were established in this article, where the best possible inequalities for the Probability of a Logical Function of Events were established.
Abstract: (1965). Best Possible Inequalities for the Probability of a Logical Function of Events. The American Mathematical Monthly: Vol. 72, No. 4, pp. 343-359.
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TL;DR: In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian groups.
Abstract: In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the treatment relatively self-contained.
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TL;DR: In this paper, a new proof of the Tychonoff Theorem is presented for the first time, and the proof is proved in the American Mathematical Monthly: Vol. 72, No. 7, pp. 711-717.
Abstract: (1965). A New Proof of the Tychonoff Theorem. The American Mathematical Monthly: Vol. 72, No. 7, pp. 711-717.
TL;DR: Brown as mentioned in this paper presented a historical note on a recurrent combinatorial problem, The American Mathematical Monthly, 72:9, 973-977, DOI: 10.1080/00029890.1965.
Abstract: ISSN: 0002-9890 (Print) 1930-0972 (Online) Journal homepage: https://www.tandfonline.com/loi/uamm20 Historical Note on a Recurrent Combinatorial Problem William G. Brown To cite this article: William G. Brown (1965) Historical Note on a Recurrent Combinatorial Problem, The American Mathematical Monthly, 72:9, 973-977, DOI: 10.1080/00029890.1965.11970654 To link to this article: https://doi.org/10.1080/00029890.1965.11970654
TL;DR: The American Mathematical Monthly (AMM) Vol. 72, No. 8, pp. 831-841 as mentioned in this paper, is the earliest publication of the present paper.
Abstract: (1965). On Absolutely Continuous Functions. The American Mathematical Monthly: Vol. 72, No. 8, pp. 831-841.
TL;DR: In this paper, a characterisation of the Geometric distribution is presented, and the authors propose a characterization of the geometric distribution with respect to the geometrical distribution distribution.
Abstract: (1965). A Characterization of the Geometric Distribution. The American Mathematical Monthly: Vol. 72, No. 3, pp. 256-260.
TL;DR: The American Mathematical Monthly: Vol. 72, No. 10, pp. 1075-1081 as discussed by the authors, 1965] and the N-Point Compactifications (NPC).
Abstract: (1965). N-Point Compactifications. The American Mathematical Monthly: Vol. 72, No. 10, pp. 1075-1081.