Periodicity and decidability of tilings of ℤ2

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Periodicity in Tilings

Tilings and tiling systems are an abstract concept that arise both as a computational model and as a dynamical system. In this paper, we prove an analog of the theorems of Fagin [11] and Selman and Jones [17] by characterizing sets of periods of tiling systems by complexity classes.

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1. to determine whether difference in birth body mass influenced growth performance in pipistrellus kuhlii we studied a total of 12 captive-born neonates. bats were assigned to two body mass groups: light birth body mass (lbw: 0.89 ± 0.05, n=8) and heavy birth body mass (hbw: 1.35 ± 0.08, n=4). heavier body mass at birth was associated with rapid postnatal growth (body mass and forearm length) ...

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ژورنال

عنوان ژورنال: American Journal of Mathematics

سال: 2020

ISSN: 1080-6377

DOI: 10.1353/ajm.2020.0006