121,572 research outputs found

    Some examples of Mahler measures as multiple polylogarithms

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    The Mahler measures of certain polynomials of up to five variables are given in terms of multiple polylogarithms. Each formula is homogeneous and its weight coincides with the number of variables of the corresponding polynomial.Comment: 21 pages, 1 figur

    Mahler measure of some n-variable polynomial families

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    The Mahler measures of some n-variable polynomial families are given in terms of special values of the Riemann zeta function and a Dirichlet L-series, generalizing the results of \cite{L}. The technique introduced in this work also motivates certain identities among Bernoulli numbers and symmetric functions

    Tempered Fermions in the Hybrid Monte Carlo Algorithm

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    Parallel tempering simulates at many quark masses simultaneously, by changing the mass during the simulation while remaining in equilibrium. The algorithm is faster than pure HMC if more than one mass is needed, and works better the smaller the smallest mass is.Comment: 4 pages, 2 figures, Combined proceedings for Lattice 97, Edinburgh and the International Workshop 'Lattice QCD on Parallel Computers', University of Tsukuba, Japa

    Remarks on Form Factor Bounds

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    Improved model independent upper bounds on the weak transition form factors are derived using inclusive sum rules. Comparison of the new bounds with the old ones is made for the form factors h_{A_1} and h_V in B -> D* decays.Comment: 8 pages, 2 figures, title changed and typos corrected for journal publicatio

    Giving New Functions to Old Forms: The Aesthetics of Reassigned Architecture

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    In modern cities, many old or abandoned buildings occupy valuable land without providing a comparably valuable service. In the past they have often met with the fate of being demolished and replaced, but modern day sentiment, be it foolhardy nostalgia or legitimate concern for architectural heritage, often leads to a building’s refurbishment. As a result, buildings save themselves from the wrecking ball by providing a service that satiates modern day demand

    Why Youth (heart) Social Network Sites: The Role of Networked Publics in Teenage Social Life

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    Part of the Volume on Youth, Identity, and Digital Media Social network sites like MySpace and Facebook serve as "networked publics." As with unmediated publics like parks and malls, youth use networked publics to gather, socialize with their peers, and make sense of and help build the culture around them. This article examines American youth engagement in networked publics and considers how properties unique to such mediated environments (e.g., persistence, searchability, replicability, and invisible audiences) affect the ways in which youth interact with one another. Ethnographic data is used to analyze how youth recognize these structural properties and find innovative ways of making these systems serve their purposes. Issues like privacy and impression management are explored through the practices of teens and youth participation in social network sites is situated in a historical discussion of youth's freedom and mobility in the United States

    Right Triangles of Gian Francesco Malfatti

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