Results 21 to 30 of about 16,110 (265)
Fractals via Controlled Fisher Iterated Function System
This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research.
C. Thangaraj, D. Easwaramoorthy
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Understanding the urban land-cover spatial patterns is of particular significance for sustainable development planning. Due to the nonlinear characteristics related to the spatial pattern for land cover, it is essential to provide a new analysis method ...
Luxiao Cheng, Ruyi Feng, Lizhe Wang
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Fractal dimensions in the Gromov–Hausdorff space
In this paper, we first show that for all four non-negative real numbers, there exists a Cantor ultrametric space whose Hausdorff dimension, packing dimension, upper box dimension, and Assouad dimension are equal to given four numbers, respectively. Next, by constructing topological embeddings of an arbitrary compact metrizable space into the Gromov ...
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Recycled Dystopias: Cyberpunk and the End of History
While cyberpunk is often described as a dystopian genre, the paper argues that it should be seen rather as a post-utopian one. The crucial difference between the two resides in the nature of the historical imagination reflected in their respective ...
Elana Gomel
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Fractalization of Fractional Integral and Composition of Fractal Splines
The present study perturbs the fractional integral of a continuous function $f$ defined on a real compact interval, say $(\mathcal{I}^vf)$ using a family of fractal functions $(\mathcal{I}^vf)^\alpha$ based on the scaling parameter $\alpha$.
Gowrisankar Arulprakash
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In this paper, we obtain multifractals (attractors) in the framework of Hausdorff b-metric spaces. Fractals and multifractals are defined to be the fixed points of associated fractal operators, which are known as attractors in the literature of fractals.
Sudesh Kumari +3 more
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He’s frequency formula to fractal undamped Duffing equation
Nonlinear oscillation is an increasingly important and extremely interesting topic in engineering. This article completely reviews a simple method proposed by Ji-Huan He and successfully establishes a fractal undamped Duffing equation through the two ...
Guang-Qing Feng
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Multi-target detection by using combined color and fractal features in complex background
A multi-target detection algorithm combining color with fractal features was proposed for multi-objective detection in complex natural background.The RGB color space was converted to the Lab color space and the improved K-means clustering algorithm was ...
ZHENG Linping +4 more
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Constructing a Linearly Ordered Topological Space from a Fractal Structure: A Probabilistic Approach
Recent studies have shown that it is possible to construct a probability measure from a fractal structure defined on a space. On the other hand, a theory on cumulative distribution functions from an order on a separable linearly ordered topological space
José Fulgencio Gálvez-Rodríguez +1 more
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Estimating the Permeability of Carbonate Rocks from the Fractal Properties of Moldic Pores using the Kozeny-Carman Equation [PDF]
Reservoir modeling of carbonate rocks requires a proper understanding of the pore space distribution and its relationship to permeability. Using a pigeonhole fractal model we characterize the fractal geometry of moldic pore spaces and extract the fractal
Adewale Amosu +2 more
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