منابع مشابه
Scd Patterns Have Singular Diffraction
Among the many families of nonperiodic tilings known so far, SCD tilings are still a bit mysterious. Here, we determine the diffraction spectra of point sets derived from SCD tilings and show that they have no absolutely continuous part, that they have a uniformly discrete pure point part on the axis Re3, and that they are otherwise supported on a set of concentric cylinder surfaces around this...
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We consider “hyperideal” circle patterns, i.e. patterns of disks which do not cover the whole surface, which are associated to hyperideal hyperbolic polyhedra. The main result is that, on a Euclidean or hyperbolic surface with conical singularities, those hyperideal circle patterns are uniquely determined by the intersection angles of the circles and the singular curvatures. This is related to ...
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Pinwheel patterns and their higher dimensional generalisations display continuous circular or spherical symmetries in spite of being perfectly ordered. The same symmetries show up in the corresponding diffraction images. Interestingly, they also arise from amorphous systems, and also from regular crystals when investigated by powder diffraction. We present first steps and results towards a gene...
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In this issue of Blood, Gutsaeva et al describe an aptamer with high affinity for murine P-selectin and its efficacy in preventing vaso-occlusion in a mouse sickle cell disease (SCD) model.1 Each year, more than 200 000 children are born with SCD,2 yet there is a paucity of treatment options available for sufferers.3 The disease is caused by homozygous expression of a mutation in the beta globi...
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Introduction Individual X-Ray diffraction patterns of biological tissues are obtained via interference of coherent scattering with their electrons. Many scientists have distinguished normal and cancerous breast tissue, bone density, and urinary stone types using the X-Ray diffraction patterns resulting from coherent scattering. The goal of this study was to introduce an optimized method for obt...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2005
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1842355