in this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the hypercyclicity criterion. we characterize topological transitivity and semi-hereiditarily of a dynamical system given  by an n-tuple of operators acting on a separable infinite dimensional banach space .

one of the most remarkable basis of the gravity data inversion is the recognition of sharp boundaries between an ore body and its host rocks during the interpretation step. therefore, in this work, it is attempted to develop an inversion approach to determine a 3d density distribution that produces a given gravity anomaly. the subsurface model consists of a 3d rectangular prisms of known sizes ...

When Einstein was thinking about the theory of general relativity based on the elimination of especial relativity constraints (especially the geometric relationship of space and time), he understood the first limitation of especial relativity is ignoring changes over time. Because in especial relativity, only the curvature of the space was considered. Therefore, tensor calculations should be to...

Let Σ be a compact Riemann surface of genus g, and G ̄SU(n). The central element c ̄ diag(e#id/n,... , e#id/n) for d coprime to n is introduced. The Verlinde formula is proved for the Riemann–Roch number of a line bundle over the moduli space g," (c,Λ) of representations of the fundamental group of a Riemann surface of genus g with one boundary component, for which the loop around the boundary is...

In this paper, we will provide a simple method for starting with a given finite frame for an $n$-dimensional Hilbert space $mathcal{H}_n$ with nonzero elements and producing a frame which is $epsilon$-nearly Parseval and $epsilon$-nearly unit norm. Also, the concept of the $epsilon$-nearly equal frame operators for two given frames is presented. Moreover, we characterize all bounded invertible ...

Perturbation feedback control is a classical procedure in control engineering that is based on linearizing a nonlinear system around some locally optimal nominal trajectory. In the presence of terminal constraints defined by a k-dimensional embedded submanifold, the corresponding flow of extremals for the underlying system gives rise to a canonical foliation in the (t, x)-space consisting of (n...

In phenomenological models with extra dimensions there is a natural symmetry group associated to a brane universe, – the group of rotations of normal bundle of the brane. We consider Kaluza-Klein gauge fields corresponding to this group and show that they can be localized on the brane in models with warped extra dimensions. These gauge fields are coupled to matter fields which have nonzero rota...

A fast adaptive multiscale algorithm has been devised to characterize a random set of points spanning a high dimensional Euclidean space, but concentrated around special lower dimensional subsets. It has been adapted to analyze gene expression data from microarray experiments. We present here the simplest version of this “multi-strip” algorithm applied to a set of points in R concentrated aroun...