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2.779  Articles
1 of 279 pages  |  10  records  |  more records»
We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical o... see more

I present in this paper some tools in symplectic and Poisson geometry in view of their applications in geometric mechanics and mathematical physics. After a short discussion of the Lagrangian an Hamiltonian formalisms, including the use of symmetry groups... see more

Real systems are often complex, nonlinear, and noisy in various fields, including mathematics, natural science, and social science. We present the symplectic entropy (SymEn) measure as well as an analysis method based on SymEn to estimate the nonlinearity... see more

The aim of this paper is to discuss an important discourse, as most literatures highlighted the dimension of partial flag in a certain manner, according to a fixed definition that does not include all possible cases. In the present paper the existence of ... see more

In this paper, we introduce a new submersion between almost symplectic manifolds, give examples and investigate the geometry of the base manifold when the total manifold has some special cases.

IN MEMORIAM OF ALEXANDER GROTHENDIECK. THE MAN.

Non-canonical equations of motion are derived from a variational principle written in symplectic form. The invariant measure of phase space and the covariant expression for the entropy are derived from non-canonical transformations of coordinates. This sh... see more

The gravitational water vortex turbine is presented as an alternative for electric power generation for both low head and water flow conditions, additionally it is easy and low cost to implement and maintenance. However, the experimentally reported effici... see more

The purpose of this article is to discover the correlation among language elements- semantic, syntactic, pragmatic- and cognitive barriers towards the accuracy of Geometry proofs. This interdisciplinary study was carried out in response to the fact that s... see more

1 of 279 pages  |  10  records  |  more records»