منابع مشابه
On Tychonoff's type theorem via grills
Let ${X_{alpha}:alphainLambda}$ be a collection of topological spaces, and $mathcal {G}_{alpha}$ be a grill on $X_{alpha}$ for each $alphainLambda$. We consider Tychonoffrq{}s type Theorem for $X=prod_{alphainLambda}X_{alpha}$ via the above grills and a natural grill on $X$ related to these grills, and present a simple proof to this theorem. This immediately yields the classical theorem...
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ACKNOWLEDGMENTS This note was inspired by Brian Davies, who challenged Nick Trefethen at Oxford by pointing out that the evaluation of the integral (7) would cause serious difficulties both analytically and numerically. One of the authors (T.S.) had the pleasure of attending Trefethen’s course in Oxford, where problems like Davies’s had to be solved on a weekly basis. Discussing the integral wi...
متن کاملon tychonoff's type theorem via grills
let ${x_{alpha}:alphainlambda}$ be a collection of topological spaces, and $mathcal {g}_{alpha}$ be a grill on $x_{alpha}$ for each $alphainlambda$. we consider tychonoffrq{}s type theorem for $x=prod_{alphainlambda}x_{alpha}$ via the above grills and a natural grill on $x$ related to these grills, and present a simple proof to this theorem. this immediately yields the classical theorem...
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For any fixed integer d≥ 1, let ud(N) denote the number of permutations in the symmetric group S(N)which have no decreasing subsequence of length d+1.Regev determined the asymptotic form of ud(N) in the N→ ∞ limit; his argument relies on Selberg’s integral formula. In this article we give an elementary derivation of Regev’s formula via an asymptotic bijection with standard Young tableaux of rec...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2007
ISSN: 0002-9890,1930-0972
DOI: 10.1080/00029890.2007.11920465