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Fractal Analysis and Fractal Dimension in Materials Chemistry
Fractal and FractionalUsing fractal analysis and computing fractal dimension to understand materials chemistry and solve problems such as catalysis, chemical reactions, fuel storage, and material design is an important scientific research domain [...]
Gianina Dobrescu +2 more
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From Fractal Geometry to Fractal Analysis
Applied Mathematics, 2016 Euclidian geometry pertained only to the artificial realities of the first, second and third dimensions. Fractal geometry is a new branch of mathematics that proves useful in representing natural phenomena whose dimensions (fractal dimensions) are non ...
G. Losa +4 more
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Contour fractal analysis of grains [PDF]
EPJ Web of Conferences, 2017 Fractal analysis has been shown to be useful in image processing to characterise the shape and the grey-scale complexity in different applications spanning from electronic to medical engineering (e.g. [1]). Fractal analysis consists of several methods to
Guida Giulia +2 more
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Fractal Symbolic Analysis [PDF]
Proceedings of the 15th international conference on Supercomputing, 2000 Modern compilers restructure programs to improve their efficiency. Dependence analysis is the most widely used technique for proving the correctness of such transformations, but it suffers from the limitation that it considers only the memory locations read and written by a statement without considering what is being computed by that ...
Nikolay Mateev +2 more
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Fractal and Fractional, 2022 The occurrence and flow of shale gas are substantially impacted by nanopore structures. The fractal dimension provides a new way to explore the pore structures of shale reservoirs. In this study, eight deep shale samples from Longmaxi Formation to Wufeng
Hongming Zhan +6 more
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Fractal Dimension and Retinal Pathology: A Meta-Analysis
Applied Sciences, 2021 Due to the fractal nature of retinal blood vessels, the retinal fractal dimension is a natural parameter for researchers to explore and has garnered interest as a potential diagnostic tool.
Sam Yu, Vasudevan Lakshminarayanan
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Communications on Pure & Applied Analysis, 2020 41 pages, 25 figures, 4 ...
P. Alonso Ruiz +4 more
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Fractal Analysis of Vasomotion [PDF]
Annals of the New York Academy of Sciences, 1990 Random-like fluctuations have been observed in blood flow in the microvasculature. This we term flow motion, thus distinguishing it from the closely related phenomenon, vasomotion, which refers to fluctuations in vessel diameter. This intermittent perfusion of vascular beds has been observed in skeletal muscle,1 skin,2 mesentery,3 and brain.4 These ...
James B. Bassingthwaighte +5 more
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Use of fractal analysis in dental images: a systematic review.
Dento maxillo facial radiology, 2020 OBJECTIVES This study reviewed the use of fractal analysis (FA) in dental images. METHODS A search was performed using PubMed, MEDLINE, LILACS, Web of Science and SCOPUS databases. The inclusion criteria were human studies in the English language, with
Camila Nao Kato +6 more
semanticscholar +1 more source
Harmonic analysis of fractal measures [PDF]
Constructive Approximation, 1996 38 pages, AMS-TeX ("amsppt" document style)
Steen Pedersen, Palle E. T. Jorgensen
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