Results 21 to 30 of about 128,827 (147)
Visibility representations of boxes in 2.5 dimensions [PDF]
Computational Geometry, 2016 We initiate the study of 2.5D box visibility representations (2.5D-BR) where vertices are mapped to 3D boxes having the bottom face in the plane $z=0$ and edges are unobstructed lines of sight parallel to the $x$- or $y$-axis. We prove that: $(i)$ Every complete bipartite graph admits a 2.5D-BR; $(ii)$ The complete graph $K_n$ admits a 2.5D-BR if and ...
Arleo, Alessio +9 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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Fractal Analysis of Overlapping Box Covering Algorithm for Complex Networks
IEEE Access, 2020 Due to extensive research on complex networks, fractal analysis with scale invariance is applied to measure the topological structure and self-similarity of complex networks. Fractal dimension can be used to quantify the fractal properties of the complex
Wei Zheng +4 more
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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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Some typical properties of dimensions of sets and measures
Abstract and Applied Analysis, 2005 This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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Hyperbolic graphs: Critical regularity and box dimension
Transactions of the American Mathematical Society, 2019 We study fractal properties of invariant graphs of hyperbolic and partially hyperbolic skew product diffeomorphisms in dimension three. We describe the critical (either Lipschitz or at all scales H lder continuous) regularity of such graphs. We provide a formula for their box dimension given in terms of appropriate pressure functions.
Díaz, Lorenzo Justiniano +3 more
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The Discrepancy of Boxes in Higher Dimension [PDF]
Discrete & Computational Geometry, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chazelle, B., Lvov, A.
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Box dimensions of (\timesm,\timesn)-invariant sets
Indiana University Mathematics Journal, 2023 We study the box dimensions of sets invariant under the toral endomorphism $(x, y) \mapsto (m x \text{ mod } 1, \, n y \text{ mod } 1)$ for integers $n>m \geq 2$. The basic examples of such sets are Bedford-McMullen carpets and, more generally, invariant sets are modelled by subshifts on the associated symbolic space.
Fraser, Jonathan, Jurga, Natalia
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Fractal analysis of sound signals in SAMPO 3065 combine harvester [PDF]
Journal of Agricultural Machinery, 2017 Introduction Nowadays, many studies were performed about noise source and its type and effects related to duration of sound emission. Most of these researches just report sound pressure level in frequency or time domain.
F Mahdiyeh Broujeni, A Maleki
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Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions
Fractal and FractionalThe Weierstrass function W(x)=∑n=1∞ancos(2πbnx) is a function that is continuous everywhere and differentiable nowhere. There are many investigations on fractal dimensions of the Weierstrass function, and the investigation of its Hausdorff dimension is ...
Yue Qiu, Yongshun Liang
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