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Codes as Fractals and Noncommutative Spaces [PDF]
Mathematics in Computer Science, 2012 We consider the CSS algorithm relating self-orthogonal classical linear codes to q-ary quantum stabilizer codes and we show that to such a pair of a classical and a quantum code one can associate geometric spaces constructed using methods from noncommutative geometry, arising from rational noncommutative tori and finite abelian group actions on Cuntz ...
Marcolli, Matilde, Perez, Christopher
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Remote Sensing, 2021 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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Fractalization of Fractional Integral and Composition of Fractal Splines
Chaos Theory and Applications, 2023 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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Recycled Dystopias: Cyberpunk and the End of History
Arts, 2018 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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He’s frequency formula to fractal undamped Duffing equation
Journal of Low Frequency Noise, Vibration and Active Control, 2021 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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Mathematics, 2019 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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Constructing a Linearly Ordered Topological Space from a Fractal Structure: A Probabilistic Approach
Mathematics, 2022 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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Generalized fractals in semimetric spaces
Nonlinear Analysis, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bessenyei, Mihály, Pénzes, Evelin
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Estimating the Permeability of Carbonate Rocks from the Fractal Properties of Moldic Pores using the Kozeny-Carman Equation [PDF]
Research Ideas and Outcomes, 2018 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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Fractal Study of the Development Law of Mining Cracks
Fractal and Fractional, 2023 Studying mining fracture development is vital for geotechnical and mining engineering and geological disaster prevention. This research assesses crack effects on rock mass stress equilibrium during coal mining, potentially causing geological disasters ...
Jinsui Wu +6 more
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