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Abstract: In \cite{BCKM} it was shown that "Tiling implies Spectral" holds for a union of three intervals and the reverse implication was studied under certain restrictive hypotheses on the associated...
Abstract: We introduce a procedure for establishing pure discrete spectrum for substitution tiling systems of Pisot family type and illustrate with several examples.
Tiling recognizable two-dimensional languages, also known as REC,generalize recognizable string languages to two dimensions and share with them several theoretical properties. Nevertheless REC is not ...
High-throughput genotype data can be used to identify genes important for local adaptation in wild populations, phenotypes in lab stocks, or disease-related traits in human medicine. Here we advance...
Generalizing results by Valette, Zamfirescu and Laczkovich, we will here prove that the tiling of any convex body K into convex subsets contains some information on K itself, namely if many tiles are ...
A $t-\a$ covering array is an $m\times n$ matrix, with entries from an alphabet of size $\alpha$, such that for any choice of $t$ rows, and any ordered string of $t$ letters of the alphabet, there ex...
We propose a method to construct ``large'' Condorcet domains by use of so-called rhombus tilings. Then we explain that this method fits to unify several previously known constructions of Condorcet dom...
The edge-to-edge tiling of the 2-dimensional sphere by congruent pentagons must contain at least 12 tiles. We give almost complete classification of the minimal tiling by 12 congruent pentagons, with ...
In this paper we introduce new types of tiling for some manifolds which have covering spaces. The relations between tilings of manifolds and their covering space are discussed. Theorems governing thes...
Tiling Array实验技术是从传统的微阵列(microarray)基因芯片技术发展而来, 在Tiling Array新技术产生发展的5年间, 它已经成为了全基因组生物信息挖掘的主要工具, 其高密度、高通量的特性使人们可以从全基因组水平考察生命过程和探索生命奥秘. 对Tiling Array技术和应用研究最新进展进行了较为详尽的描述, 其中包括Tiling Array技术概述、Tiling A...
Hydrogen bonded liquids like water present a rich thermodynamic behaviour due to the strength and directionality of the bonds. In a recent paper a geometric model based on Bernal’s model for liquids w...

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