Results 51 to 60 of about 128,827 (147)

Point-Dimension Theory (Part I): The Point-Extended Box Dimension

, 2022
This article is an introductory work to a larger research project devoted to pure, applied and philosophical aspects of dimension theory. It concerns a novel approach toward an alternate dimension theory foundation: the point-dimension theory. For this purpose, historical research on this notion and related concepts, combined with critical analysis and
Maaroufi, Nadir, Zerouali, El Hassan
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Geometrical properties of systems with spiral trajectories in R^3

Electronic Journal of Differential Equations, 2015
We study a class of second-order nonautonomous differential equations, and the corresponding planar and spatial systems, from the geometrical point of view.
Luka Korkut, Domagoj Vlah, Vesna Zupanovic   +2 more
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Fast stabbing of boxes in high dimensions

Theoretical Computer Science, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Natural Representations of Black Box Groups SL₂$\left(\mathbb{F}q\right)$

Axioms
In this paper, we make one step further in the recognition of black box groups of Lie type: given a black box group encrypting a special linear group of dimension 2 over a finite field of an unknown odd characteristic, we construct a black box field and ...
Alexandre Borovik, Şükrü Yalçınkaya
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Modeling Phase Transitions in Starling Flocks Using Fractal Dimension of Self-Affine Functions

Fractal and Fractional
This paper uses the theory of self-affine fractal functions to model the dynamic flight graphs of starling flocks, integrating the fractional calculus of self-affine fractal functions to quantitatively characterize the intrinsic nonlinear dynamics and ...
Kunyuan Li, Xiongwei Zhang, Kui Yao, Kai Zhang, Meng Sun, Ming He, Kefeng Liu, Yangjun Wang   +7 more
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Application of the fractal analysis in the sea bottom recognition

Archives of Acoustics, 2014
The paper proposes a newly developed simple method of the sea bottom typing using elements of fractal analysis. The fractal dimension was calculated as a box dimension for sampled envelopes of echo signals from four types of sea bottom recorded during ...
Z. ŁUBNIEWSKI, A. STEPNOWSKI
doaj  

Semi-Regular Continued Fractions with Fast-Growing Partial Quotients

Fractal and Fractional
In number theory, continued fractions are essential tools because they provide distinct representations of real numbers and provide information about their characteristics. Regular continued fractions have been examined in great detail, but less research
Shirali Kadyrov, Aiken Kazin, Farukh Mashurov   +2 more
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Fingerprints Authentication Using Grayscale Fractal Dimension

Al-Mustansiriyah Journal of Science, 2019
Characterizing of visual objects is an important role in pattern recognition that can be performed through shape analysis. Several approaches have been introduced to extract relevant information of a shape.
Nadia. M. G. Alsaidi, Arkan J. Mohammed, Wael J. Abdulaal   +2 more
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The generalized upper box dimension

We introduce the generalized upper box dimension which is defined for any set, whether the set is bounded or unbounded. We study basic properties of the generalized upper box dimension. We prove that the generalized upper box and upper box dimensions coincide for bounded sets.
Wang, Lipeng, Li, Wenxia
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Fractal Characteristic of Rock Cutting Load Time Series

Discrete Dynamics in Nature and Society, 2014
A test-bed was developed to perform the rock cutting experiments under different cutting conditions. The fractal theory was adopted to investigate the fractal characteristic of cutting load time series and fragment size distribution in rock cutting.
Hongxiang Jiang, Changlong Du, Songyong Liu, Kuidong Gao   +3 more
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