Results 31 to 40 of about 129,909 (293)
The Fractal Dimension of SAT Formulas [PDF]
, 2014 Modern SAT solvers have experienced a remarkable progress on solving industrial instances. Most of the techniques have been developed after an intensive experimental testing process. Recently, there have been some attempts to analyze the structure of these formulas in terms of complex networks, with the long-term aim of explaining the success of these ...
Carlos Ansótegui +3 more
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From rock microstructure to macromechanical properties based on fractal dimensions
Advances in Mechanical Engineering, 2019 Basic rock mechanical parameters, that is, the uniaxial compressive strength σ c and elastic modulus E , have close relationships with the fractal dimension and inhomogeneity.
Dongmei Huang +4 more
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Algorithmic interpretations of fractal dimension
CoRR, 2017 We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces are the subject of intensive study in various branches of mathematics, including geometry, topology, and measure theory. There are several well-studied notions of fractal dimension for sets and measures in Euclidean space.
Anastasios Sidiropoulos, Vijay Sridhar
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Chaotic motion in multi-black hole spacetimes and holographic screens [PDF]
, 2006 We investigate the geodesic motion in $D-$dimensional Majumdar-Papapetrou multi-black hole spacetimes and find that the qualitative features of the D=4 case are shared by the higher dimensional configurations. The motion of timelike and null particles is
Bousso R. +5 more
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Rock Mechanical Property Influenced by Inhomogeneity
Advances in Materials Science and Engineering, 2012 In order to identify the microstructure inhomogeneity influence on rock mechanical property, SEM scanning test and fractal dimension estimation were adopted.
Yunliang Tan, Dongmei Huang, Ze Zhang
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Fractal and Fractional, 2023 It is of great significance to understand the particle distribution characteristics at different heights to effectively control particle pollution. Based on fractal theory, the fractal dimension of outdoor particles in a high-rise building in Xi’an and ...
Fuquan Liu +3 more
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Numerical Simulation of Rockfill Materials Based on Fractal Theory
Applied Sciences, 2021 With the use of the particle flow code in two dimensions, a fractal model is established with the number of particles of different particle fractions used as the statistics to study the fractal characteristics of particle size distribution.
Hongxing Han +4 more
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Computability and Fractal Dimension [PDF]
, 2004 This thesis combines computability theory and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic approach to Hausdorff measures makes it possible to define the Hausdorff dimension of individual points instead of sets in a metric space. This idea was first realized by Lutz (2000). Working in the Cantor space of all infinite
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The scattering from generalized Cantor fractals
, 2010 We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from zero to one in ...
A. I. Kuklin +28 more
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Guan'gai paishui xuebao, 2021 【Objective and objective】 Soil aggregate is a function unit commonly used to describe the impact of soil structure on soil fertility and quality. It is temporally dynamic, modulated by a myriad of biotic and abiotic factors such as wetting-drying cycles ...
HAN Xiao +3 more
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