“…We develop a series of fracture models with various degrees of roughness characterized by fractal dimensions that are based on the Weierstrass–Mandelbrot fractal function. …”
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“…Fractal lacunarity analysis represents a useful tool to analyze mtDNA mutations. …”
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“…On the other hand, the SiCN network of the polysilazane-derived ceramic is characterized by mixed bonded SiN(x)C(4−x) tetrahedra that are inefficiently packed with a mass fractal dimension of D(f) ~2.5 that is significantly lower than the embedding Euclidean dimension (D = 3). …”
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“…Extraction of fractal exponents via the slope of the power spectrum is common in the analysis of many physiological time series. …”
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“…Additionally, the present manuscript represents a new independent empirical validation of such relationship, the first one for the atmosphere. The MSE-fractal relationship is verified for synthetic fractal time-series covering the full range of exponents typically observed in the atmosphere. …”
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“…METHODS: This paper introduces the surface fractal dimension (D(s)) as a numerical index of the two-dimensional (2-D) geometrical complexity of tumor vascular networks, and their behavior during computer-simulated changes in vessel density and distribution. …”
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“…The degree of LV trabeculation was assessed by fractal dimension (FD) as a robust measure of trabeculation complexity using a semi-automated technique. …”
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“…This study examines whether the cumulative size distribution of LAA clusters, defined with thresholds of the 15th, 25th, and 35th percentiles of a CT density histogram instead of the fixed-threshold of − 950 HU, exhibits a fractal property and whether its fractal dimension (D’15, D’25, and D’35, respectively) provides additional structural information in emphysematous lungs that is difficult to detect with the conventional − 950-HU-based fractal dimension (D950). …”
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“…Fluctuation of time series of center of pressure (COP) movement of back and sitting pressure was observed to possess a fractal property. The fractal dimensions were calculated to compare the high and low arousal conditions. …”
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“…Besides, MRA is also combined with the Higuchi fractal dimension (a non-linear measure) to establish the decision rule permitting the detection of the absence or presence of one or multiple primary users in the studied wideband spectrum. …”
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“…The auric chloride (AuHCl(4)) induced micellization of amphiphiles from fractal pattern to chainlike aggregates was examined by critical micelle concentration measurements, quenching studies, field emission scanning electron microscopy, and optical microscopy techniques. …”
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“…This can be studied by means of the rate of temporal variation, the contrast, and also the fractality of patterns. The fractality of the speckle pattern can be investigated by a fractal dimension, which can quantify a level of the complexity of platelet aggregation structure and a fibrin network formed in the process of blood coagulation. …”
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“…The chaos game representation (CGR) method, modified to visualize heteroplasmic mutations, was used to display fractal properties of mtDNA sequences and fractal lacunarity analysis was applied to quantitatively characterize PD based on mtDNA mutations. …”
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“…Fractal analysis and measurement of the crown-implant ratio were performed with ImageJ. …”
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“…The present work theoretically and numerically studies the electroosmotic flow (EOF) within a fractal treelike rectangular microchannel network with uniform channel height. …”
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“…Herein, we propose a fractal-design based switched-capacitor-convertors with characteristics including high conversion efficiency, minimum output impedance, and electrostatic voltage applicability. …”
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“…The fractal microchannel is used to achieve uniform temperature distribution. …”
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