Results 31 to 40 of about 128,827 (147)
Frontiers in Forests and Global Change, 2022 The adaptation of forest management to changing environmental conditions due to climate change relies on information on the current forest and tree vitality. In common practice, the percentage of crown defoliation is used as a proxy for tree vitality, an
Marius G. Heidenreich, Dominik Seidel
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Box dimension, oscillation and smoothness in function spaces
Journal of Function Spaces and Applications, 2005 The aim of this paper is twofold. First we relate upper and lower box dimensions with oscillation spaces, and we develop embeddings or inclusions between oscillation spaces and Besov spaces.
Abel Carvalho
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On sets containing a unit distance in every direction
Discrete Analysis, 2021 On sets containing a unit distance in every direction, Discrete Analysis 2021:5, 13 pp. A _Kakeya set_ in $\mathbb R^d$ is a subset $A\subset\mathbb R^d$ that contains a line in every direction. Besicovitch famously proved that a Kakeya set in $\mathbb
Pablo Shmerkin, Han Yu
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Metric dimension, doubly resolving set and strong metric dimension for $(C_n\Box P_k)\Box P_m$
, 2021 arXiv admin note: substantial text overlap with arXiv:2103 ...
Liu, Jia-Bao, Zafari, Ali
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An Improve Differential Box Counting Method to Estimate Fractal Dimension [PDF]
Engineering and Technology Journal, 2015 The mathematical concept that used to measure the complexity of the fractal sets is known as fractal dimension. It is considered as a global feature for fractal images.
N.M.G. Alsaidi, W.J. Abdulaal
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Mathematics, 2023 This research aimed to estimate the length of the Citarum watershed boundary because the data are still unknown. We used the concept of fractal’s power law and its relation to the length of an object, which is still not described in other research.
Michael Lim +2 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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Ecology and Evolution, 2018 The three‐dimensional forest structure affects many ecosystem functions and services provided by forests. As forests are made of trees it seems reasonable to approach their structure by investigating individual tree structure.
Dominik Seidel
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Box-Counting Dimension Using Triangles
, 2016 An alternate definition of the box-counting dimension is proposed, to provide a better approximation for fractals involving rotation such as the 'Bradley Spiral' structure. A curve fitting comparison of this definition with the box-counting dimension is also presented.
Athar, Tazeen +2 more
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Persistent Homology and the Upper Box Dimension [PDF]
Discrete & Computational Geometry, 2019 39 pages, 8 ...
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