952 resultados para Robert Cooper


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Samuel Cooper

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This study concerns the manuscript music book of Robert Edward (c. 1614–c. 1697), minister, author and musician. The manuscript, formerly part of the library at Panmure House, is now held in the National Library of Scotland and is commonly referred to as ‘Robert Edward’s Commonplace Book’ (GB-En MS.9450). The present study is in two parts and begins with an exploration of the physical book, including the structure, compilation, hands and ownership before a second chapter explores the biography of the eponymous owner, contextualising GB-En MS.9450 locally and nationally. The third chapter concerns the function of the manuscript which, it is argued, is closely related to pedagogy. The final three chapters discuss the content of the manuscript, taking in turn the vocal music, instrumental music and the selection of Italian three-part villanelle. The implications for dating and use arising from the first part of this

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The problem of spectra formation in hydrodynamic approach to A + A collisions is considered within the Boltzmann equations. It is shown analytically and illustrated by numerical calculations that the particle momentum spectra can be presented in the Cooper-R-ye form despite freeze-out is not sharp and has the finite temporal width. The latter is equal to the inverse of the particle collision rate at points (t(sigma) (r, p), r) of the maximal emission at a fixed momentum p. The set of these points forms the hypersurfaces t(sigma)(r,p) which strongly depend on the values of p and typically do not enclose completely the initially dense matter. This is an important difference from the standard Cooper-Frye prescription (CFp), with a common freeze-out hypersurface for all p, that affects significantly the predicted spectra. Also, the well known problem of CFp as for negative contributions to the spectra from non-space-like parts of the freeze-out hypersurface is naturally eliminated in this improved prescription.

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In this paper we study some purely mathematical considerations that arise in a paper of Cooper on the foundations of thermodynamics that was published in this journal. Connections with mathematical utility theory are studied and some errors in Cooper's paper are rectified. (C) 2001 Academic Press.