Results 1 to 10 of about 120,740 (217)
Riemannian L-systems: modelling growing forms in curved spaces [PDF]
Quantitative Plant BiologyIn 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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Non-Euclidean geometry and differential equations [PDF]
Banach Center Publications, 1996 In this paper a geometrical link between partial differential equations (PDE) and special coordinate nets on two-dimensional smooth manifolds with the a priori given curvature is suggested. The notion of G-class (the Gauss class) of differential equations admitting such an interpretation is introduced.
A. Popov
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Доклады Белорусского государственного университета информатики и радиоэлектроники, 2022 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]
Proceedings of the Estonian Academy of Sciences, 2018 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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Geometrical modeling and numerical analysis of screw dislocation
Nihon Kikai Gakkai ronbunshu, 2021 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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On the trace-manifold generated by the deformations of a body-manifold [PDF]
Theoretical and Applied Mechanics, 2003 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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Moving frames and compatibility conditions for three-dimensional director fields
New Journal of Physics, 2021 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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Geometry and Geodesy on the Primary Visual Cortex as a Surface of Revolution
Mathematical and Computational Applications, 2020 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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Swimming in Curved Surfaces and Gauss Curvature
Universitas Scientiarum, 2018 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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Discrete Riemannian Geometry [PDF]
, 1998 Within a framework of noncommutative geometry, we develop an analogue of (pseudo) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation.
Dimakis, A., Muller-Hoissen, F.
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