منابع مشابه
Fast Tetrahedron-Tetrahedron Overlap Algorithm
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The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the previous results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to expressing the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.
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In 3 dimensions, the Ising model is in the same universality class as φ-theory, whose massive 3-loop tetrahedral diagram, C, was of an unknown analytical nature. In contrast, all single-scale 4-dimensional tetrahedra were reduced, in hep-th/9803091, to special values of exponentially convergent polylogarithms. Combining dispersion relations with the integer-relation finder PSLQ, we find that C/...
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In this paper we derive from arguments of string scattering a set of eight tetrahedron equations, with different index orderings. It is argued that this system of equations is the proper system that represents integrable structures in three dimensions generalising the Yang-Baxter equation. Under additional restrictions this system reduces to the usual tetrahedron equation in the vertex form. Mo...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2006
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/23/20/008