Results 61 to 70 of about 2,294 (185)
Local Fractal Interpolation on Unbounded Domains [PDF]
Proceedings of the Edinburgh Mathematical Society, 2018 AbstractWe define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some properties of these local fractal functions, consider their tensor products, and give conditions for local fractal functions on unbounded domains to be elements of Bochner–Lebesgue ...
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مجله آب و خاک, 2017 Introduction: The range of meteorological parameters, such as temperature, are different at different scales. Fractal geometry is a branch of mathematics that has many applications in the field of discrete and continuous domains.
shima tajabadi +2 more
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Fractal-fractional study of the hepatitis C virus infection model
Results in Physics, 2020 The main purpose of this article is proposed and investigated a new model of fractal-fractional-order model for hepatitis C virus (HCV) infection with immune response, in which the effect of dendritic cells (DC) and cytotoxic T lymphocytes (CTL) on HCV ...
Khaled M. Saad +2 more
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New Aspects of Bloch Model Associated with Fractal Fractional Derivatives
Nonlinear Engineering, 2021 To model complex real world problems, the novel concept of non-local fractal-fractional differential and integral operators with two orders (fractional order and fractal dimension) have been used as mathematical tools in contrast to classical derivatives
Akgül Ali +2 more
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High Voltage, EarlyView.ABSTRACT Crack‐type defects are commonly found in epoxy composite cast insulation due to residual, thermal and external stresses. When combined with inverter‐type voltage stress, as in epoxy cast high‐frequency transformers (HFTs), the likelihood of insulation failure increases significantly. In this study, a method setting microcracks perpendicular to
Xingyu Shang +4 more
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Journal of Applied Crystallography, EarlyView.A unified multi‐scale framework is proposed for the consistent analysis of small‐angle X‐ray scattering (SAXS) and X‐ray diffraction (XRD) in disordered clay minerals, combining morphology, stacking and turbostratic contributions within a single formalism.
Walid Oueslati
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Fractal Image Interpolation: A Tutorial and New Result
Fractal and Fractional, 2019 This paper reviews the implementation of fractal based image interpolation, the associated visual artifacts of the interpolated images, and various techniques, including novel contributions, that alleviate these awkward visual artifacts to achieve ...
Chi Wah Kok, Wing Shan Tam
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Terrain Synthesis and Authoring based on Iso‐Contours
Computer Graphics Forum, EarlyView.Abstract Digital terrains are central to realistic landscape depiction, yet authoring tools must balance perceptual realism with intuitive artistic control. We propose a compact vector‐based representation that models terrain as nested iso‐contours, inspired by geomorphology and cartography.
B. Huftier +5 more
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Fractal interpolants on the unit circle
Applied Mathematics Letters, 2008 The author uses an interesting methodology based on fractal interpolation functions to define new real maps (real fractal functions) on the circle generalizing the classical ones. Every periodic function with integrable square can be endowed with a family of fractal interpolants generalizing the original.
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SPINE: VAE‐driven Counterfactuals for Decision Boundary Maps
Computer Graphics Forum, EarlyView.Abstract As Deep Learning models become increasingly complex, Explainable AI becomes essential for deploying machine learning classifiers. Decision Boundary Mapping (DBM) is a technique for visualizing a classifier's global decision boundary. Despite their relative success, current DBM methods rely on global inverse multidimensional projections that ...
I.M. Bloemen, V. Prasad, F. V. Paulovich
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