Results 21 to 30 of about 650,097 (307)
Effects of Soil Properties and Slope Angle on Deformation and Stability of Cut Slopes
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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The discussion about comprehensive regulation and control methods of Low and non-effective circulation layers in ultra-high water cut stage [PDF]
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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The Meyer property of cut-and-project sets [PDF]
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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Methods for Calculating Empires in Quasicrystals
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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The Curled Up Dimension in Quasicrystals
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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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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Quasicrystal Tilings in Three Dimensions and Their Empires
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
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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Complexity and cohomology for cut-and-projection tilings [PDF]
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
openaire +2 more sources
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices [PDF]
For any irrational cut-and-project setup, we demonstrate a natural infinite family of windows which gives rise to separated nets that are each bounded distance to a lattice. Our proof provides a new construction, using a sufficient condition of Rauzy, of
Alan Haynes, Henna Koivusalo
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