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A new method to determine a fractal network in chaotic systems is presented together with its application to the microstructure recognition of robot-laser-hardened (RLH) steels under various angles of a laser beam. The method is based on fractal geometry.
Matej Babič, Dragan Marinković
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NeutroGeometry and Fractal Geometry [PDF]
Geometries are structures with certain elements like points, lines, planes, and spaces, among others, that satisfy certain definitions, axioms, properties, and theorems for the total of the elements. NeutroGeometries are geometric structures that meet at
Florentin Smarandache +3 more
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Recognition of the Pavilion in Relation to the Persian Garden from the Perspective of Fractal Geometry (Case Study: Pavilions of the Fathabad Garden in Kerman) [PDF]
Despite numerous studies conducted on Iranian gardens, the analytical investigation of the role of gardens in the shaping of pavilions has not received significant attention.
Mohammadali Ashraf Ganjouei +1 more
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Fractal and geography: Fractal scanning in three different urban areas of Elazığ
The study of systems' ability to self-organize, internal structural balance, and space partitioning is the focus of a larger body of theories produced by mathematicians in the second half of the twenty-first century, which includes fractal theory and ...
Emrah Şıkoğlu
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Evolution of Retinal Neuron Fractality When Interfacing with Carbon Nanotube Electrodes
Exploring how neurons in the mammalian body interact with the artificial interface of implants can be used to learn about fundamental cell behavior and to refine medical applications.
Aiden P. Dillon +8 more
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Review article: methods of fractal geometry used in the study of complex geomorphic networks
Fractal geometry methods allow one to quantitatively describe self-similar or self-affined landscape shapes and facilitate the complex/holistic study of natural objects in various scales.
Michal Kusák
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Theoretical Study of fractal shape material of negative refractive index [PDF]
Advanced materials are artificial structure materials that exhibit properties not found in nature. Material that has a negative refractive index (left-handed materials) is found to get a lot of interest in the literatures.
Amer Shaalan +4 more
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Objectives: This study aimed to identify age-related changes in the fractal dimensions of the cerebellum and compare the sensitivity of fractal analysis and conventional Euclidean geometry-based morphometry to cerebellar aging.
Nataliia Maryenko, Oleksandr Stepanenko
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Fractal-based algorithmic design of Chinese ice-ray lattices
Chinese ice-ray lattices are perhaps one of the earliest and controlled designs of asymmetric and complex patterns applied as a traditional motif in windows. Such intricate and complex designs developed centuries back have created an evident curiosity to
Iasef Md Rian
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Fractal Geometry of Higher Derivative Gravity [PDF]
We determine the scaling properties of geometric operators such as lengths, areas, and volumes in models of higher derivative quantum gravity by renormalizing appropriate composite operators. We use these results to deduce the fractal dimensions of such hypersurfaces embedded in a quantum spacetime at very small distances.
Becker M., Pagani C., Zanusso O.
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