منابع مشابه
Fast Tetrahedron-Tetrahedron Overlap Algorithm
We present an algorithm to test two tetrahedra for overlap. The algorithm is based on a dimension reduction technique that allows to apply the Separating Axis Theorem avoiding part of the computation needed to perform the Separating Axis Test. Source code is available online.
متن کاملTetrahedron template
High yielding synthetic routes to 3’,5’-diamino-2’,3’,5’-trideoxycytidine and 3’,5’-diamino-2’,3’,5’-trideoxyadenosine are described. In addition, the protonation behavior of 3’,5’-diamino-2’,3’,5’-trideoxycytidine, 3’,5’-diamino-2’,3’,5’-trideoxyadenosine, 3’,5’diamino-3’,5’-dideoxythymidine, and 3’,5’-diamino-2’,3’,5’-trideoxyuridine has been studied by means of pH-metric measurements and NMR...
متن کاملThe S4-action on the Tetrahedron Algebra
The action of the symmetric group S4 on the Tetrahedron algebra, introduced by Hartwig and Terwilliger [HT05], is studied. This action gives a grading of the algebra which is related to its decomposition in [HT05] into a direct sum of three subalgebras isomorphic to the Onsager algebra. The ideals of both the Tetrahedron algebra and the Onsager algebra are determined.
متن کاملA Geometric Proof of the Feigin-frenkel Theorem
We reprove the theorem of Feigin and Frenkel relating the center of the critical level enveloping algebra of the Kac-Moody algebra for a semisimple Lie algebra to opers (which are certain de Rham local systems with extra structure) for the Langlands dual group. Our proof incorporates a construction of Beilinson and Drinfeld relating the Feigin-Frenkel isomorphism to (more classical) Langlands d...
متن کاملThe Quantum Tetrahedron in 3 and 4
Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in thèquantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries of the tetrahedron in R 3 , we use geometric quantization to obtain a Hilbert space of states. This Hilbert space has a basis of states labeled by the areas of the faces of the tetrahedron together wi...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2015
ISSN: 1815-0659
DOI: 10.3842/sigma.2015.024