Results 11 to 20 of about 15,884 (161)
ELECTRON MICROSCOPY ANALYSIS OF SEMI-COKE FROM THE MICROWAVE PYROLYSIS OF OIL SHALE WITH ITS FRACTAL DESCRIPTION; pp. 209–228 [PDF]
Oil Shale, 2010 This paper discusses the potential use of microwave technology as an energy-efficient alternative to current heating technologies employed for treatment of Jilin Huadian oil shale and analyzes the surface pore structure of its semi-coke particle by a ...
WANG QING +4 more
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Remote Sensing, 2020 The Pearl River Estuary Area was selected for this study. For the past 40 years, it has been one of the most complex coasts in China, yet few studies have analyzed the complexity and variations of the area’s different coastlines.
Xinyi Hu, Yunpeng Wang
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On the equality of Hausdorff and box counting dimensions [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993 By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described by a scaling function to show why the capacity and Hausdorff dimension are expected to be equal.
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Embedding properties of sets with finite box-counting dimension [PDF]
Nonlinearity, 2019 Abstract In this paper we study the regularity of embeddings of finite-dimensional subsets of Banach spaces into Euclidean spaces. In 1999, Hunt and Kaloshin (1999 Nonlinearity 12 1263–75) introduced the thickness exponent and proved an embedding theorem ...
Margaris, Alexandros, Robinson, James C.
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Approximate resolutions and box-counting dimension
Topology and its Applications, 2003 The notion of approximate resolution was introduced and investigated in earlier papers of S. Mardešić and the authors [\textit{S. Mardešić} and \textit{T. Watanabe}, Glas. Mat., III. Ser. 24(44), 587--637 (1989; Zbl 0715.54009); \textit{T. Miyata} and \textit{T. Watanabe}, Topology Appl. 113, No. 1--3, 211--241 (2001; Zbl 0986.54033); \textit{T. Miyata}
Miyata, Takahisa, Watanabe, Tadashi
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Strict Inequality in the Box-Counting Dimension Product Formulas [PDF]
Real Analysis Exchange, 2013 The authors supplement the well-known upper and lower box-counting product inequalities. If we denote \(\dim_{LB} F\) and \(\dim_B F\) as the lower box-counting dimension and box-counting dimension of a set \(F\), respectively, then the authors obtain the following new formula: \[ \begin{aligned}\dim_{LB} F+\dim_{LB} G \leq \dim_{LB} (F\times G) \leq ...
Robinson, James C., Sharples, Nicholas
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Hydrology Research, 2020 In the past, a great deal of research has been conducted to determine the fractal properties of river networks, and there are many kinds of methods calculating their fractal dimensions. In this paper, we compare two most common methods: one is geomorphic
Xianmeng Meng +4 more
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Box-counting dimensions of generalised fractal nests [PDF]
Chaos, Solitons & Fractals, 2018 Fractal nests are sets defined as unions of unit $n$-spheres scaled by a sequence of $k^{-α}$ for some $α>0$. In this article we generalise the concept to subsets of such spheres and find the formulas for their box counting dimensions. We introduce some novel classes of parameterised fractal nests and apply these results to compute the dimensions ...
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Advances in Mechanical Engineering, 2016 Aiming at the nonlinear and nonstationary characteristics of bearing vibration signals as well as the complexity of condition-indicating information distribution in the signals, a novel rolling element bearing fault diagnosis approach based on improved ...
Yunpeng Cao +4 more
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Enhancement of the Box-Counting Algorithm for Fractal Dimension Estimation
Journal of Institute of Control, Robotics and Systems, 2016 Abstract The box-counting (BC) method is frequently used as a measure of irregularity and roughness of fractals with self-similarity property due to its simplicity and high reliability. It requires a proper choice of the number of box sizes, corresponding sizes, and size limits to guarantee the accuracy of the fractal dimension estimation.
Gun-Baek So, Hye-Rim So, Gang-Gyoo Jin
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