Results 1 to 10 of about 179,932 (164)
Group Invariant Solutions in Mathematical Physics and Differential Geometry
To appear in the proceedings of the 2000 NSF-CBMS conference The Geometrical Study of Differential Equations, 10 pages ...
Anderson, Ian M.+2 more
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Manifold Shape: from Differential Geometry to Mathematical Morphology [PDF]
Much progress has been made in extending Euclidean mathematical morphology to more complex structures such as complete lattices or spaces with a non-commutative symmetry group. Such generalizations are important for practical situations such as translation and rotation invariant pattern recognition or shape description of patterns on spherical surfaces.
Jos B. T. M. Roerdink
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Integrable systems arising in differential geometry and mathematical physics
Our thesis is divided into 2 independant chapters each other corresponding to a paper. In the first chapter, we define a notion of isotropic surfaces in O, i.e. on which some canonical symplectic forms vanish. Using the cross-product in O we define a map rho from the Grassmannian of plan of O to the 6 dimension sphere.
Idrisse Khemar
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Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
Eric Poisson
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Using the GeoGebra interactive mathematical system in teaching differential geometry. Spatial curves [PDF]
G. A. Klekovkin
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Moufang Patterns and Geometry of Information [PDF]
Technology of data collection and information transmission is based on various mathematical models of encoding. The words"Geometry of information"refer to such models, whereas the words"Moufang patterns"refer to various sophisticated symmetries appearing
N. Combe, Y. Manin, M. Marcolli
semanticscholar +1 more source
In mathematics, a differential equation uses important mathematical concepts like function, derivative, integral, etc. Geogebra is a dynamic mathematical software uniting geometry, algebra and differential calculus. There are two objectives in this study.
Mohamed Latifi, K. Hattaf, N. Achtaich
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Axiomatic Differential Geometry II-2: Differential Forms [PDF]
We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
H. Nishimura
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Differential Geometry of Microlinear Frolicher Spaces IV-1 [PDF]
The central object of synthetic differential geometry is microlinear spaces. In our previous paper [Microlinearity in Frolicher spaces -beyond the regnant philosophy of manifolds-, International Journal of Pure and Applied Mathematics, 60 (2010), 15-24 ...
H. Nishimura
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Symbolic Toolboxes For Differential Geometry and Mathematical Physics
The DifferentialGeometry (DG) software provides advanced mathematical functionalities for research and teaching in the areas of differential geometry, Lie theory, general relativity, and geometric methods for differential equations. The current project will provide additional infrastructure for symbolic computing in differential geometry and its ...
IAN ANDERSON, Torre, Charles
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