Results 1 to 10 of about 4,108 (93)
The geometrical Kosambi–Cartan–Chern approach has been applied to study the systems of differential equations which arise in quantum-mechanical problems of a particle on the background of non-Euclidean geometry.
N. G. Krylova, V. M. Red’kov
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A novel information geometry method for estimating parameters of the Weibull wind speed distribution; pp. 39–49 [PDF]
Accurate modelling of wind speed is very important for the assessment of the wind energy potential of a region. The two-parameter Weibull distribution is widely used to model wind speed.
Mehmet Kurban, Emrah Dokur, Salim Ceyhan
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On the trace-manifold generated by the deformations of a body-manifold [PDF]
In this paper, concerned to the study of continuous deformations of material media using some tools of modem differential geometry, a moving frame of Frenet type along the orbits of an one-parameter group acting on a so-called "trace-manifold", M ...
Boja Nicolae
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Geometrical modeling and numerical analysis of screw dislocation
This study conducts the modeling and numerical analysis of a screw dislocation in a three-dimensional continuous medium. Our modeling is based on the differential geometry of Weitzenböck manifold, i.e., a Riemann-Cartan manifold which equips itself with ...
Shunsuke KOBAYASHI, Ryuichi TARUMI
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Geometry and Geodesy on the Primary Visual Cortex as a Surface of Revolution
Biological mapping of the visual field from the eye retina to the primary visual cortex, also known as occipital area V1, is central to vision and eye movement phenomena and research.
Lorenzo G. Resca, Nicholas A. Mecholsky
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Moving frames and compatibility conditions for three-dimensional director fields
The geometry and topology of the region in which a director field is embedded impose limitations on the kind of supported orientational order. These limitations manifest as compatibility conditions that relate the quantities describing the director field
Luiz C B da Silva, Efi Efrati
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Swimming in Curved Surfaces and Gauss Curvature
The Cartesian-Newtonian paradigm of mechanics establishes that, within an inertial frame, a body either remains at rest or moves uniformly on a line, unless a force acts externally upon it.
Leonardo Solanilla +2 more
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We present a new conceptual approach for modeling of fluid flows in random porous media based on explicit exploration of the treelike geometry of complex capillary networks.
Andrei Khrennikov +2 more
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Cross-Modal Perception in the Framework of Non-Riemannian Sensory Space
Though human sensations, such as the senses of hearing, sight, etc., are independent each other, the interference between two of them is sometimes observed, and is called cross-modal perception[1].
Masaru Shimbo +2 more
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Riemannian L-systems: modelling growing forms in curved spaces
In the past 50 years, the formalism of L-systems has been successfully used and developed to model the growth of filamentous and branching biological forms. These simulations take place in classical 2-D or 3-D Euclidean spaces.
Christophe Godin, Frédéric Boudon
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