Results 31 to 40 of about 1,122,667 (310)
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
openaire +5 more sources
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
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
Fractal Dimension Links Responses to a Visual Scene to Its Biodiversity [PDF]
, 2018 Humans appear to have an innate, beneficial response and preference for natural over urban scenes, yet “natural” is an ambiguous concept that varies from culture to culture. In looking for a commonality to natural scenes that tends to be lacking in built
Paul Stevens, Stevens, Paul
core +1 more source
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
openaire +8 more sources
, 2022 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
openaire +2 more sources
, 2013 This thesis aims at getting a better understanding of the properties, scalings and similarities of turbulent axisymmetric wakes, as well as possible applications that arise from the information learnt.
Nedic, Jovan
core +1 more source
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
doaj +1 more source
Fractal Analysis on Asphalt Mixture Using a Two-Dimensional Imaging Technique
Advances in Materials Science and Engineering, 2016 Fractal is a mathematical set that has a fractal dimension which usually exceeds its topological dimension and may be nonintegral. Since the asphalt pavement texture has limitations of randomness and self-similarity, fractal theory has been explored to ...
Yue Hou +3 more
doaj +1 more source