Results 11 to 20 of about 1,009,431 (281)
Results in Engineering, 2020 Fractal dimension is an appropriate indicator to describe the complexity of a certain geometry, and box-counting analysis is proved to be an effective and appropriate method for fractal dimension estimation which is widely used.
Jiaxin Wu, Xin Jin, Shuo Mi, Jinbo Tang
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The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals
Mathematics, 2022 In this paper, we present a second partial solution for the problem of cardinality calculation of the set of fractals for its subcategory of the random virtual ones.
Mohsen Soltanifar
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Ecology and Evolution, 2021 Tree functional traits together with processes such as forest regeneration, growth, and mortality affect forest and tree structure. Forest management inherently impacts these processes.
Ninni Saarinen +8 more
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Box ladders in a noninteger dimension [PDF]
Theoretical and Mathematical Physics, 2013 We construct a family of triangle-ladder diagrams which may be calculated by making use of Belokurov-Usyukina loop reduction technique in d = 4 -2e dimensions. The main idea of the approach proposed in the present paper consists in generalization of this loop reduction technique existing in d = 4 dimensions.
Gonzalez, Ivan, Kondrashuk, Igor
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Determining method of multiscale fractal dimension of red bed sandstone pores based on CT scanning
地质科技通报, 2022 The distribution of pore structure inside rock has fractal characteristics in statistical sense, the determination of itsfractal dimension is of great significance to characterize the distribution law of pore structure quantitatively and reveal various ...
Zihan Zhang +3 more
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, 2022 23 pages, 1 figure, accepted for presentation at SoCG ...
Dvorák, Z. +4 more
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Journal of Business Economics and Management, 2008 This paper focuses on the management of small businesses in Russia. Despite the growing importance of the Russian small business sector, there are surprisingly few empirical studies focusing on this topic.
Jari Jumpponen +2 more
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Embedding Properties of sets with finite box-counting dimension [PDF]
, 2019 In this paper we study the regularity of embeddings of finite--dimensional subsets of Banach spaces into Euclidean spaces. In 1999, Hunt and Kaloshin [Nonlinearity 12 1263-1275] introduced the thickness exponent and proved an embedding theorem for ...
Margaris, Alexandros, Robinson, James C.
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Relative multifractal box-dimensions
Filomat, 2019 Given two probability measures ? and ? on Rn. We define the upper and lower relative multifractal box-dimensions of the measure ? with respect to the measure ? and investigate the relationship between the multifractal box-dimensions and the relative multifractal Hausdorff dimension, the relative multifractal pre-packing dimension.
Attia, Najmeddine, Selmi, Bilel
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A hairy box in three dimensions
Nuclear Physics B, 2020 In this short note, we consider the phases of gravity coupled to a $U(1)$ gauge field and charged scalar in 2+1 dimensions without a cosmological constant, but with box boundary conditions. This is an extension of the results in arXiv:1609.01208, but unlike in higher dimensions, here the physics has sharp differences from the corresponding AdS problem.
Chethan Krishnan +2 more
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