Results 41 to 50 of about 957,336 (307)

Fast stabbing of boxes in high dimensions

Theoretical Computer Science, 1996
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openaire   +5 more sources

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.
Najmeddine Attia, Bilel Selmi
openaire   +3 more sources

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.
Tazeen Athar, Nayab Khalid, Shams Ul Islam   +2 more
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Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions

Fractal and Fractional
The 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
doaj   +1 more source

Coastline Fractal Dimension of Mainland, Island, and Estuaries Using Multi-temporal Landsat Remote Sensing Data from 1978 to 2018: A Case Study of the Pearl River Estuary Area

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
doaj   +1 more source

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
doaj   +1 more source

The box dimension of random box-like self-affine sets

, 2017
In this paper we study two random analogues of the box-like self-affine attractors introduced by Fraser, itself an extension of Sierpi\'nski carpets. We determine the almost sure box-counting dimension for the homogeneous random case ($1$-variable random)
Troscheit, Sascha
core   +1 more source

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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Assessing Forest Vitality and Forest Structure Using 3D Data: A Case Study From the Hainich National Park, Germany

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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Local box-counting dimensions of discrete quantum eigenvalue spectra: Analytical connection to quantum spectral statistics

, 2017
Two decades ago, Wang and Ong [Phys. Rev. A 55, 1522 (1997)] hypothesized that the local box-counting dimension of a discrete quantum spectrum should depend exclusively on the nearest-neighbor spacing distribution (NNSD) of the spectrum.
Nieminen, John M., Sakhr, Jamal
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