Results 21 to 30 of about 20,875 (268)
Fractals with optimal information dimension [PDF]
Relevant data is included in the paper.
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The dredger fill of Shanghai Hengsha Island Dongtan is solidified by curing agents with different fly ash content, and the shear strength index of solidified dredger fill is measured by the direct shear test.
Shuai Yang, Wenbai Liu, Hongwei Liu
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Estimating the Dimension of a Fractal
SUMMARY We suggest refinements of the box counting method which address the obvious problems caused by the incomplete information and inaccessibility of the limit. A method for the statistical analysis of these corrected data is developed and tested on simulated and real data.
Taylor, Charles C., Taylor, S. James
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Fracture Surface Fractal Characteristics of Alkali-Slag Concrete under Freeze-Thaw Cycles
Fractal theory is introduced in fracture surface research of alkali-slag concrete (ASC) under freeze-thaw cycles; crack distribution of ASC fracture surface and freeze-thaw damage zone were calculated.
Wantong Cai, Guoping Cen, Haifu Wang
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The Fractal Dimension of SAT Formulas [PDF]
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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Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of the study area. This phenomenon has been puzzling many researchers. This paper is devoted to discussing the problem of uncertainty of fractal dimension estimation and the potential ...
Bekmirzayev D.A, Uralova I.A
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Rock Mechanical Property Influenced by Inhomogeneity
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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In order to characterize the pore structure and fractal characteristics of coal-measure sedimentary rocks, three types of typical sedimentary rocks of the Middle Jurassic shale, mudstone and sandstone were selected as the research objects.
Zhang Na +3 more
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Algorithmic interpretations of fractal dimension
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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From rock microstructure to macromechanical properties based on fractal dimensions
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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