منابع مشابه
On the Delone Triangulation Numbers
“Almost exact” estimates for the Delone triangulation numbers are given. In particular lim n→∞ deln−1 n = 1 2πe = 0.0585498.... 1991 Mathematics Subject Classification. 52A22. The first named author was partially supported by the KBN grant no. 2 P03A 022 15. Both authors were partially supported by the Erwin-Schrödinger-Institute in Vienna. Typeset by AMS-TEX 1 2 PIOTR MANKIEWICZ CARSTEN SCHÜTT...
متن کاملOn the Delone property of (-\beta)-integers
These sets were introduced in the domain of quasicrystallography, see e.g. [2]. It is not difficult to see that Z−β =Z when β ∈Z, and that Z−β = {0} when β < 1+ √ 5 2 . For β ≥ 1+ √ 5 2 , Ambrož et al. [1] showed that Z−β can be described by the fixed point of an anti-morphism on a possibly infinite alphabet. They also calculated explicitely the set of distances between consecutive (−β )-intege...
متن کاملOn the Delone property of (-β)-integers
These sets were introduced in the domain of quasicrystallography, see e.g. [2]. It is not difficult to see that Z−β =Z when β ∈Z, and that Z−β = {0} when β < 1+ √ 5 2 . For β ≥ 1+ √ 5 2 , Ambrož et al. [1] showed that Z−β can be described by the fixed point of an anti-morphism on a possibly infinite alphabet. They also calculated explicitely the set of distances between consecutive (−β )-intege...
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قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...
15 صفحه اولPeriodic Delone Tilings
Given a periodic point set in 3-dimensional Euclidean space, an algorithm is described for computing the corresponding periodic Delone tiling (and its Delaney symbol). Examples of applications in tiling theory and crystallography are discussed.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2001
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3563