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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...
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...
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...
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 ...
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 ...
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...
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...
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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