Results 21 to 30 of about 164,476 (143)
On Fractal Features and Fractal Linear Space About Fractal Continuous Functions [PDF]
Fractals, 29(1), 2021, 2021 This paper investigates fractal dimension of linear combination of fractal continuous functions with the same or different fractal dimensions. It has been proved that: (1) $BV_{I}$ all fractal continuous functions with bounded variation is fractal linear space; (2) ${}^{1}D_{I}$ all fractal continuous functions with Box dimension one is a fractal ...
arxiv
Evaluation of long term storage of apples by means of fractal analysis
Research in Agricultural Engineering, 2003 Realization of long-term apple storage requires the most detailed information about the flesh structure and texture, whose quality is contributing by responsible way to the whole quality of the evaluated fruits.
Ľ. Kubík +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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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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Scattering from surface fractals in terms of composing mass fractals [PDF]
J. Appl. Cryst. 50, 919-931 (2017), 2015 We argue that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of surface fractal is shown to be a sum of the amplitudes of composing mass fractals. Various approximations for the scattering intensity of surface fractal are considered.
arxiv +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
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Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality [PDF]
J. Fractal Geom. 5 (2018), 1-119, 2016 We establish pointwise and distributional fractal tube formulas for a large class of relative fractal drums in Euclidean spaces of arbitrary dimensions. A relative fractal drum (or RFD, in short) is an ordered pair $(A,\Omega)$ of subsets of the Euclidean space (under some mild assumptions) which generalizes the notion of a (compact) subset and that of
arxiv +1 more source
Electromagnetic Fields on Fractals [PDF]
Modern Physics Letters A. Vol.21. No.20. (2006) 1587-1600, 2007 Fractals are measurable metric sets with non-integer Hausdorff dimensions. If electric and magnetic fields are defined on fractal and do not exist outside of fractal in Euclidean space, then we can use the fractional generalization of the integral Maxwell equations. The fractional integrals are considered as approximations of integrals on fractals.
arxiv +1 more source
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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Fractal dimensions of fractal transformations and Quantization dimensions for bi-Lipschitz mappings [PDF]
arXiv, 2022 In this paper, we study the fractal dimension of the graph of a fractal transformation and also determine the quantization dimension of a probability measure supported on the graph of the fractal transformation. Moreover, we estimate the quantization dimension of the invariant measures corresponding to a weighted iterated function system consisting of ...
arxiv