Defect Sauer results

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Defect Sauer Results

In this paper we present a uniied account of various results concerning traces of set systems, including the original lemma proved independently by Sauer 14], Shelah 15], and Vapnik and Chervonenkis 16], and extend these results in various directions. Included are a new criterion for a set system to be extremal for the Sauer inequality and upper and lower bounds, obtained by random methods, for...

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Many readings of Nella Larsen's Passing have focused on Clare Kendry as a liminal figure who passes back and forth between the White life she chose and the Black life she longs to return to, posing a threat to Irene Redfield's security that she has worked so hard to achieve. Contrarily, I believe that, just as Irene Redfield and Passing's narrator are preoccupied by Clare's distracting beauty a...

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For a subset I of [1, ..., n], let us denote by PI the natural projection from [0, 1] to [0, 1]. The Sauer Shelah lemma [Sa], [Sh] asserts that given a subset A of [0, 1] and an integer k with card A> i k ( i ), there exists I/[1, ..., n] with card I>k and PI (A)=[0, 1]. This result has proved to be of considerable use in analysis and probability. One drawback of this result is however the fact...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1995

ISSN: 0097-3165

DOI: 10.1016/0097-3165(95)90060-8