“…We present the analysis of multiplicity distributions of charged secondary particles produced in minimum bias and central interactions of S32 and O16 at 200A GeV, O16 at 60A GeV, Si28 at 14.5A GeV, and protons at 800 GeV with nuclear emulsion in terms of the information entropy and higher generalized fractal dimensions. Comparisons of the Si28 data with Monte Carlo model venus and S32 data with fritiof model are also presented.…”
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“…New avenues of research, such as fractal/multifractal measure theory with potential applications in life sciences, are opened.…”
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“…Fractal geometry is a well-known model for capturing the multi-scaled complexity of many natural objects. …”
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“…In this study, we propose a universal, fractal-guided film annealing strategy to realize the random Au network-based PUFs that can be designed on demand in complexity, enabling the tags’ intrinsic uniqueness and stability. …”
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“…We found that the box counting method yields fractal dimension between 1 for sharp boundaries and 1.3 for indiscriminate mixing, and intermediate values for fingering-like boundaries. …”
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“…This work is devoted for establishing adequate results for the qualitative theory as well as approximate solution of “fractal-fractional order differential equations” (F-FDEs). …”
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“…In this context, we explore the fractal nature of the gastrointestinal system and the potential of fractal geometry as a robust descriptor of its complex forms and functions. …”
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“…PURPOSE: The aim of this study was to assess the impact of exposure parameters and image formats on fractal dimension (FD) values in periapical, panoramic, and CBCT images. …”
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“…The average molecular weights (M(Dη)) and polydispersity parameters were calculated based on the results of the fractionation, as follows: M(w) = 14.6 × 10(3), M(n) = 9.0, and M(w)/M(n) = 1.62 for lignins from fir wood and M(w) = 14.9 M(n) = 13.5 and M(w)/M(n) = 1.1 for lignins from oat husks. The fractal analysis of the lignin macromolecules allowed us to identify the distinctive characteristics of the fractal and topological structures of these lignins. …”
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“…CONCLUSION: Starting from a spore, the mycelium develops as a mass fractal and, depending on culture conditions, it either turns to a surface fractal or remains a mass fractal. …”
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“…Although simple statistical parameters derived from the stabilogram have been shown to predict risk of falls, such measures offer little insight into the underlying control mechanisms responsible for degradation in balance. In contrast, fractal and non-linear time-series analysis of stabilograms, such as estimations of the Hurst exponent (H), may provide information related to the underlying motor control strategies governing postural stability. …”
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“…METHODS: This paper introduces two new tools to speech analysis: recurrence and fractal scaling, which overcome the range limitations of existing tools by addressing directly these two symptoms of disorder, together reproducing a "hoarseness" diagram. …”
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“…We propose new method of assessment of histological images for medical diagnostics. 2-D image is preprocessed to form 1-D landscapes or 1-D signature of the image contour and then their complexity is analyzed using Higuchi's fractal dimension method. The method may have broad medical application, from choosing implant materials to differentiation between benign masses and malignant breast tumors.…”
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