Results 1 to 10 of about 58,987 (131)
Fractal and Fractional, 2021 There has been a considerable evolution of the theory of fractal interpolation function (FIF) over the last three decades. Recently, we introduced a multivariate analogue of a special class of FIFs, which is referred to as α-fractal functions, from the ...
Kshitij Kumar Pandey +1 more
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Convolution Kernel Function and Its Invariance Properties of Bone Fractal Operators
Fractal and FractionalThis article studies the error function and its invariance properties in the convolutional kernel function of bone fractal operators. Specifically, the following contents are included: (1) demonstrating the correlation between the convolution kernel ...
Zhimo Jian +4 more
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β-catenin-α-catenin and actomyosin signaling differentially regulate growth cone contours and axon undulation and branching of retinal ganglion cells in situ [PDF]
Frontiers in Cellular NeuroscienceIntroductionCadherin adhesive and actomyosin signaling are key cytomechanical cues required for neuronal circuit formation, but whether they function together to sculpt developing neurons is not known. Previously, we demonstrated that a β-catenin mutant (
Valerie Lew +6 more
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Scale-Free Fractal Interpolation
Fractal and Fractional, 2022 An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A. Navascués +2 more
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Fractal Curves on Banach Algebras
Fractal and Fractional, 2022 Most of the fractal functions studied so far run through numerical values. Usually they are supported on sets of real numbers or in a complex field. This paper is devoted to the construction of fractal curves with values in abstract settings such as ...
María A. Navascués
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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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Approximation by Quantum Meyer-König-Zeller Fractal Functions
Fractal and Fractional, 2022 In this paper, a novel class of quantum fractal functions is introduced based on the Meyer-König-Zeller operator Mq,n. These quantum Meyer-König-Zeller (MKZ) fractal functions employ Mq,nf as the base function in the iterated function system for α ...
Deependra Kumar +2 more
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Advances in Mechanical Engineering, 2021 The contact mechanism for joint surfaces is important for predicting the loading process and dynamic properties of precision machinery products. A multiasperity model considering the lateral interaction and coalescence of contact regions with oblique ...
Kai Zhang, Zhihu Wei, Yangyi Chen
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Swarming Transition in Super-Diffusive Self-Propelled Particles
Entropy, 2023 A super-diffusive Vicsek model is introduced in this paper that incorporates Levy flights with exponent α. The inclusion of this feature leads to an increase in the fluctuations of the order parameter, ultimately resulting in the disorder phase becoming ...
Morteza Nattagh Najafi +2 more
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Fractal analyses reveal independent complexity and predictability of gait. [PDF]
PLoS ONE, 2017 Locomotion is a natural task that has been assessed for decades and used as a proxy to highlight impairments of various origins. So far, most studies adopted classical linear analyses of spatio-temporal gait parameters.
Frédéric Dierick +3 more
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