Results 111 to 120 of about 208,576 (353)
Mathematical and Computer Modelling of Dynamical SystemsFor the visualization of fractals, iterative schemes are fundamental and serve as important tools. In this paper, we introduce an escape criterion using the Hybrid Picard S-iteration to visualize fractals for the function [Formula: see text], where ...
Anita Tomar +3 more
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Mathware & soft computing, 1994 From the concept of attractor of a family of contractive affine transformations in the Euclidean plane R², we study the fractality property of the De Rham function and other singular functions wich derive from it. In particular, we show as fractals the strong negations called k-negations.
Mayor Forteza, Gaspar +1 more
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Deep Underground Science and Engineering, EarlyView.Based on acoustic emission response characteristics, it can be more accurate to identify the damage evolution process of coal under the combined dynamic and static loads, reveal the moment corresponding to coal damage, and identify the characteristics of coal failure. The research results are conducive to the further use of acoustic emission monitoring
Wei Zhang +10 more
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Generation of fractal curves using new binary 8-point interpolatory subdivision scheme
Applied Mathematics in Science and EngineeringThe subdivision scheme is a valuable tool for designing shapes and representing geometry in computer-aided geometric design. It has excellent geometric properties, such as fractals and adjustable shape.
Abdul Ghaffar +4 more
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Erratum: Chemistry in noninteger dimensions between two and three. I. Fractal theory of heterogeneous surfaces [J. Chem. Phys. 7 9, 3558 (1983)] [PDF]
, 1984 Peter Pfeifer, David Avnir
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Topology, 1989 In this paper we give examples of \(C^{2+\delta}\) diffeomorphisms of the annulus A permuting a countable set of disjoint disks \(\{R_ n\}\subset A\). Theorem A. For \(\delta >0\) sufficiently small there exists a Jordan curve \(Q\subset A\), a family of disjoint disks \(\{R_ n\}\subset A\) with \(R_ n\cap Q\neq \emptyset\) and a \(C^{2+\delta ...
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Deep Underground Science and Engineering, EarlyView.In this article, the finite element method‐smoothed particle hydrodynamics adaptive coupling algorithm is applied to numerically simulate and analyze the dynamic response of the slit tube and the crack propagation under high in situ stress. The dynamic response of the slit tube mainly exhibits radial response in the vertical direction of the slit and ...
Zhe Sui +3 more
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Real time design and animation of fractal plants and trees [PDF]
, 1986 Peter E. Oppenheimer
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Physical Review ResearchWe numerically explore the interplay of fractal geometry and quantum entanglement by analyzing the von Neumann entropy (known as entanglement entropy) and the entanglement contour in the scaling limit. Adopting quadratic fermionic models on Sierpinski carpet, we uncover intriguing findings.
Yao Zhou, Peng Ye
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Deep Underground Science and Engineering, EarlyView.Particle rounding effects comparison of different methods: (a), (b), and (c) are the rounding results using the B‐spline curve method with different R; (d), (e), and (f) are the results of vertex rounding substitution method with different rounding radii.
Jiabin Dong +6 more
wiley +1 more source