منابع مشابه
investigating the integration of translation technologies into translation programs in iranian universities: basis for a syllabus design in translation technology
today, information technology and computers are indispensable tools of any profession and translation technologies have become an indispensable part of translator’s workstation. with the increasing demands for high productivity and speed as well as consistency and with the rise of new demands for translation and localization, it is necessary for translators to be familiar with market demands an...
Orbits in the Leech Lattice
We provide an algorithm for determining whether two vectors in the Leech lattice are equivalent under its isometry group, the Conway group Co 0 of order ∼ 8× 10. Our methods rely on and develop the work of R. T. Curtis, and we describe our intended applications to the symmetry groups of Lorentzian lattices and the enumeration of lattices of dimension ≈ 24 with good properties such as having sma...
متن کاملOctonions and the Leech lattice
We give a new, elementary, description of the Leech lattice in terms of octonions, thereby providing the first real explanation of the fact that the number of minimal vectors, 196560, can be expressed in the form 3× 240× (1 + 16 + 16× 16). We also give an easy proof that it is an even self-dual lattice.
متن کاملLattices like the Leech lattice
The Leech lattice has many strange properties, discovered by Conway, Parker, and Sloane. For example, it has covering radius √ 2, and the orbits of points at distance at least √ 2 from all lattice points correspond to the Niemeier lattices other than the Leech lattice. (See Conway and Sloane [6, Chaps. 22-28].) Most of the properties of the Leech lattice follow from the fact that it is the Dynk...
متن کاملThe Contact Polytope of the Leech Lattice
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. There are 1,197,362,269,604,214,277,200 many facets in 232 orbits.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1987
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(87)80009-4