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The comparison of geometry skills learning in dynamic geometry educational places based on algebraic and traditional (static) educational places in Iran educational system
geometry dynamic educational traditional
2010/9/26
With development in communication and information technology and fast distribution of personal computers, the use of technology in training has improved. The foundation of mathematics educational fiel...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry future developments
2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry of future developments
2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
Virial Theorem and Hypervirial Theorem in a spherical geometry
Viral Theorem Perturbation Theory Spherical geometry
2011/2/25
In the paper, we obtain the Virial Theorem and Hypervirial Theorem in a spherical geometry.
The Hypervirial Theorem and Hellmann-Feynman Theorem are used to formulate a perturbation
theorem without ...
Basic Riemannian Geometry and Sobolev Estimates used in Symplectic Topology
Basic Riemannian Geometry Sobolev Estimates used Symplectic Topology
2011/2/22
This note collects a number of standard statements in Riemannian geometry and in Sobolevspace
theory that play a prominent role in analytic approaches to symplectic topology. These
include relations...
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimensi...
Transport barrier for the radial diffusion due to the ExB drift motion of guiding centers in cylindrical confinement geometry
Transport barrier for the radial diffusion ExB drift motion cylindrical confinement geometry
2010/12/28
We consider the radial transport of test particles due to the E×B drift motion in the guiding center approximation. In a configuration where the magnetic field is constant and uniform in linear device...
On electromagnetism and generalized energy-momentum tensor of the electromagnetic field in spaces with Finsler geometry
On electromagnetism generalized energy-momentum tensor electromagnetic field spaces Finsler geometry
2011/1/20
By using variational calculus and exterior derivative formalism, we proposed in [30] and [11] a new geometric approach to electromagnetism in pseudo-Finsler spaces.
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
2010/12/27
An analysis of the work of Mira Fernandes on unitary theories is presented.
On the finite spectral triple of an almost-commutative geometry
the finite spectral triple almost-commutative geometry
2010/12/27
In this paper we examine the relevance of the signature of the metric of space-time on constructing the product of the pseudo-Riemannian spectral triple with a finite triple describing the internal ge...
The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion
the stability criteria low angular momentum axisymmetric black hole accretion
2011/1/11
Using mathematical formalism borrowed from dynamical systems theory, a complete analytical investigation of the critical behaviour of the stationary flow configuration for the low angular momentum axi...
A spectral action associated with an Einstein-Cartan formulation of supergravity is proposed. To construct this action we make use of the Seeley-DeWitt coefficients in a Riemann-Cartan space. For con...
Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
Unquenched flavor tropical geometry strongly coupled Chern-Simons-matter theories
2010/12/24
We study various aspects of the matrix models calculating free energies and Wilson loop observables in supersymmetric Chern-Simons-matter theories on the three-sphere. We first develop techniques to e...
Matrix Model for membrane and dynamics of D-Particles in a curved space-time geometry and presence of form fields
Matrix Model membrane dynamics D-Particles
2010/12/23
We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form fi...
Gravitating magnetic monopole in Vaidya geometry
Gravitating magnetic monopole Vaidya geometry
2010/12/27
A magnetic-monopole solution of a non-Abelian gauge theory as proposed by 't Hooft-Polyakov is studied in the Vaidya space-time. We find that the solutions of Einstein equations generates a geometry ...