Results 11 to 20 of about 1,110 (213)
Effects of Soil Properties and Slope Angle on Deformation and Stability of Cut Slopes
Advances in Civil Engineering, 2022 The impact of soil parameters and slope angle on the deformation and stability of cut slopes is critical for defining road project safety measurement. This study investigates the effect of soil properties and slope angle on the deformation and stability ...
Behailu G. Habtemariam +2 more
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On generalized self-similarities of cut-and-project sets [PDF]
Linear Algebra and its Applications, 2021 Cut-and-project sets $Σ\subset\mathbb{R}^n$ represent one of the types of uniformly discrete relatively dense sets. They arise by projection of a section of a higher-dimensional lattice to a suitably oriented subspace. Cut-and-project sets find application in solid state physics as mathematical models of atomic positions in quasicrystals, the ...
Zuzana Masáková +2 more
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The Meyer property of cut-and-project sets [PDF]
Journal of Physics A: Mathematical and General, 2004 Summary: We consider cut-and-project sets \(\Sigma(\Omega)\) with compact acceptance window \(\Omega\subset\mathbb{R}^d\). It is known that \(\Sigma(\Omega)\) satisfies the Meyer property, i.e., it is a Delone set and there exists a finite set \(F\) such that \(\Sigma(\Omega)-\Sigma (\Omega)\subset \Sigma(\Omega) +F\). The investigation of the set \(F\)
Balková, L'ubomíra +2 more
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Crystals, 2016 A rigorous method for obtaining the diffraction patterns of quasicrystals is presented. Diffraction patterns are an essential analytical tool in the study of quasicrystals, since they can be used to determine their photonic resonances.
Farhad A. Namin, Douglas H. Werner
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The Curled Up Dimension in Quasicrystals
Crystals, 2021 Most quasicrystals can be generated by the cut-and-project method from higher dimensional parent lattices. In doing so they lose the periodic order their parent lattice possess, replaced with aperiodic order, due to the irrationality of the projection ...
Fang Fang, Richard Clawson, Klee Irwin
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The discussion about comprehensive regulation and control methods of Low and non-effective circulation layers in ultra-high water cut stage [PDF]
E3S Web of Conferences, 2022 As the oilfield enters the ultra-high water cut stage, the development situation of water flooding is becoming increasingly severe, facing problems such as increasing natural decline, rapid water cut rise, and serious low and non-effective circulation ...
Wang Yu
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Complexity and cohomology for cut-and-projection tilings [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractWe consider a subclass of tilings: the tilings obtained by cut-and-projection. Under somewhat standard assumptions, we show that the natural complexity function has polynomial growth. We compute its exponentαin terms of the ranks of certain groups which appear in the construction. We give bounds forα. These computations apply to some well-known
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Methods for Calculating Empires in Quasicrystals
Crystals, 2017 This paper reviews the empire problem for quasiperiodic tilings and the existing methods for generating the empires of the vertex configurations in quasicrystals, while introducing a new and more efficient method based on the cut-and-project technique ...
Fang Fang, Dugan Hammock, Klee Irwin
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Quasicrystal Tilings in Three Dimensions and Their Empires
Crystals, 2018 The projection method for constructing quasiperiodic tilings from a higher dimensional lattice provides a useful context for computing a quasicrystal’s vertex configurations, frequencies, and empires (forced tiles).
Dugan Hammock, Fang Fang, Klee Irwin
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Non-Local Game of Life in 2D Quasicrystals
Crystals, 2018 On a two-dimensional quasicrystal, a Penrose tiling, we simulate for the first time a game of life dynamics governed by non-local rules. Quasicrystals have inherently non-local order since any local patch, the emperor, forces the existence of a large ...
Fang Fang +3 more
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