Results 1 to 10 of about 179,932 (164)

Group Invariant Solutions in Mathematical Physics and Differential Geometry

open access: green, 2001
To appear in the proceedings of the 2000 NSF-CBMS conference The Geometrical Study of Differential Equations, 10 pages ...
Anderson, Ian M.   +2 more
  +8 more sources

Manifold Shape: from Differential Geometry to Mathematical Morphology [PDF]

open access: closed, 1994
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
openaire   +4 more sources

Integrable systems arising in differential geometry and mathematical physics

open access: green, 2006
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
openaire   +3 more sources

Using the GeoGebra interactive mathematical system in teaching differential geometry. Spatial curves [PDF]

open access: goldVestnik of Orenburg State Pedagogical University. Electronic Scientific Journal, 2019
G. A. Klekovkin
openaire   +2 more sources

Moufang Patterns and Geometry of Information [PDF]

open access: yesPure and Applied Mathematics Quarterly, 2021
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

The Effect of Dynamic Mathematics Software Geogebra on Student’ Achievement: The Case of Differential Equations

open access: yesJournal of Educational and Social Research, 2021
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
semanticscholar   +1 more source

Axiomatic Differential Geometry II-2: Differential Forms [PDF]

open access: yes, 2012
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
semanticscholar   +1 more source

Differential Geometry of Microlinear Frolicher Spaces IV-1 [PDF]

open access: yes, 2010
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
semanticscholar   +1 more source

Symbolic Toolboxes For Differential Geometry and Mathematical Physics

open access: yes, 2017
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
openaire   +1 more source

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