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This article investigates approximatively describe the set F = {[Ao,...,An ] |An+∑si,Ai ∈ K,∨s ∈ U where K is a geometric cone while $\mathcal{U}$ is an ellipsoid. The idea of approximation of a secon...
Abstract: We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliatio...
Bound Dimers in Bilayers of Cold Polar Molecules      Bound Dimers  Bilayers of Cold Polar Molecules        font style='font-size:12px;'> 2011/3/3
The exploration of cold polar molecules in different geometries is a rapidly developing experimental and theoretical pursuit. Recently, the implementation of optical lattices has enabled confinement ...
We obtain a criterion for the quasi-regularity of generalized (non-sectorial) Dirich-let forms, which extends the result of P.J. Fitzsimmons on the quasi-regularity of (sectorial) semi-Dirichlet form...
Universal polar coding and sparse recovery      Universal polar coding  sparse recovery        font style='font-size:12px;'> 2011/1/17
This paper investigates universal polar coding schemes. In particular, a notion of ordering (called convolutional path) is introduced between probability distributions to determine when a polar compre...
On polar foliations and fundamental group      fundamental groups  singular Riemannian foliations  polar actions       font style='font-size:12px;'> 2011/1/18
In this work we investigate the relation between the fundamental group of a complete Riemannian manifold M and the quotient between the Weyl group and reflection group of a polar action on M, as well ...
Categorical aspects of polar decomposition      Categorical aspects  polar decomposition        font style='font-size:12px;'> 2011/2/24
Polar decomposition unquestionably provides a notion of factorization in the category of Hilbert spaces. But it does not fit existing categorical notions, mainly because its factors are not closed und...
Let  be a polar space of rank n and let Gk(), k 2 {0, . . . , n−1} be the polar Grassmannian formed by k-dimensional singular subspaces of .The corresponding Grassmann graph will be denoted b...
A complete classification is presented of quantum and classical superintegrable systems in $E_2$ that allow the separation of variables in polar coordinates and admit an additional integral of motion ...
On the numerical simulation of induced anisotropy in polar ice          font style='font-size:12px;'> 2010/9/13
The aim of this work is to present a phenomenological constitutive flow model for polar ice derived from so-called mesoscopic considerations and its consistent implementation into an appropriate finit...
H. R. MÄuller, [2], had studied the polar moment of inertia for the orbit curves during the one-parameter closed planar motions and the area of the projection curve, [3], under the spatial kine...
$L_p$ Inequalities for the Polar Derivative of a Polynomial     $L_p$ inequalities  Polar derivatives  Polynomials       font style='font-size:12px;'> 2010/1/25
Let denote the polar derivative of a polynomial of degree with respect to real or complex number . If does not vanish in ORDER="0" src="images/144_07...
Inequalities for the Polar Derivative of a Polynomial     Polynomials  Inequality  Polar Derivative       font style='font-size:12px;'> 2010/1/22
In this paper we obtain new results concerning maximum modules of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Rather [3] ...

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