Navigating one million tags

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Navigating One Million Tags

Web 2.0 users engage in collaborative activities. Many 2.0 websites allow their users to associate words (a.k.a. tags) with the users’ own and with other users’ content. The result is an additional layer with descriptions of web resources. The created associations between tag sets and web resources are used to facilitate social navigation, individual resource re-finding, defining communities of...

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Landau’s function for one million billions

Let Sn denote the symmetric group with n letters, and g(n) the maximal order of an element of Sn. If the standard factorization of M into primes is M = q1 1 q α2 2 . . . q αk k , we define l(M) to be q α1 1 + q α2 2 + . . .+ q αk k ; one century ago, E. Landau proved that g(n) = maxl(M)≤n M and that, when n goes to infinity, log g(n) ∼ √ n log(n). There exists a basic algorithm to compute g(n) ...

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Cyclotomic Invariants for Primes to One Million

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ژورنال

عنوان ژورنال: Proceedings of the American Society for Information Science and Technology

سال: 2009

ISSN: 0044-7870

DOI: 10.1002/meet.2009.1450460381