Results 11 to 20 of about 135,666 (260)
Comparing Two Novel LiDAR‐Based Indices for Quantifying Forest Structural Complexity [PDF]
Forest structural complexity is critical for ecosystem functions, yet standardized metrics for its quantification remain elusive. This study compares two LiDAR‐derived three‐dimensional indices, the box dimension (Db) as a fractal‐based measure, and ...
Tillman Reuter +2 more
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Alveolar fractal box dimension inversely correlates with mean linear intercept in mice with elastase-induced emphysema [PDF]
Mary P Andersen1, A Read Parham1, J Clifford Waldrep1,2, Wayland N McKenzie1, Rajiv Dhand1,21Division of Pulmonary, Critical Care, and Environmental Medicine, Department of Internal Medicine, University of Missouri, 2Research Services, Harry S Truman ...
Andersen MP +5 more
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Hausdorff Dimension and Topological Entropies of a Solenoid
The purpose of this paper is to elucidate the interrelations between three essentially different concepts: solenoids, topological entropy, and Hausdorff dimension.
Andrzej Biś, Agnieszka Namiecińska
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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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The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals
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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A hairy box in three dimensions
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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Box ladders in a noninteger dimension [PDF]
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
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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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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The VC-dimension of axis-parallel boxes on the Torus
We show in this paper that the VC-dimension of the family of $d$-dimensional axis-parallel boxes and cubes on the $d$-dimensional torus are both asymptotically $d \log_2(d)$. This is especially surprising as the VC-dimension usually grows linearly with $d$ in similar settings.
Pierre Gillibert +2 more
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