A multi-scale flow model for production performance analysis in shale gas reservoirs with fractal geometry. [PDF]
Sci Rep, 2018 Wang L, Dong Z, Li X, Xia Z.
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Fractal Geometry-Based Decrease in Trimethoprim-Sulfamethoxazole Concentrations in Overweight and Obese People. [PDF]
CPT Pharmacometrics Syst Pharmacol, 2016 Hall RG +5 more
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Fractal geometry in precipitation
Rainfall, or more generally the precipitation process (flux), is a clear example of chaotic variables resulting from a highly nonlinear dynamical system, the atmosphere, represented by a set of physical equations such as the Navier-Stokes equations, energy balances and hydrological cycle among others.
Monjo Agut, Robert +1 more
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Hierarchical Fractal Interfaces in 3D-Printed Stiff-Soft Polymer Composites: Fracture Resistance and Toughening Mechanisms. [PDF]
Polymers (Basel)Lin PR, Tsai YC, Chen PY.
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RIFT: A Fractal-Holographic Theory of Consciousness and Autopoietic Control. [PDF]
Brain SciBieberich E.
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Effect of Surface Characteristics on Contact and Leakage in Sealed Joints with Metal Gaskets: A Review. [PDF]
Materials (Basel)Piwowar A, Jaszak P.
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Hierarchical and Fractal-Inspired Mechanical Metamaterials: A Mechanics-Oriented Review of Multiscale Design, Strength, Deformation, and Energy Absorption. [PDF]
Materials (Basel)Diliūnas S +3 more
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Surface morphology-driven gas sensing performance of CdS-modified TiO<sub>2</sub> thick film: a study based on fractal concepts. [PDF]
RSC AdvVishwakarma AK +5 more
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Assessment of right-left differences in trabecular bone structure within the maxillary lateral incisor-canine region using fractal analysis. [PDF]
BMC Oral HealthAlgul H +3 more
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Dimensions of Fractals, an introduction to Fractal Geometry
In this work we introduce rigorous analysis in fractal geometry. Fractal geometry studies subsets of R^n and C^n with properties that are not common to see in other areas of mathematics. One may encounter sets such as the middle-third Cantor set in analysis, proving that uncountable sets, even when closed, do not necessarily have positive length.
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