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AbstractAbstract
[en] The Maxwell algebra, an enlargement of Poincaré algebra by Abelian tensorial generators, can be obtained in arbitrary dimension D by the suitable contraction of O(D-1,1)⊕O(D-1,2) (Lorentz algebra ⊕ AdS algebra). We recall that in D=4 the Lorentz algebra O(3,1) is described by the realification SpR(2|C) of complex algebra Sp(2|C)≃Sl(2|C) and O(3,2)≃Sp(4). We study various D=4N-extended Maxwell superalgebras obtained by the contractions of real superalgebras OSpR(2N-k;2|C)⊕OSp(k;4) (k=0,1,2,…,2N); (extended Lorentz superalgebra ⊕ extended AdS superalgebra). If N=1 (k=0,1,2) one arrives at three different versions of simple Maxwell superalgebra. For any fixed N we get 2N different superextensions of Maxwell algebra with n-extended Poincaré superalgebras (1⩽n⩽N) and the internal symmetry sectors obtained by suitable contractions of the real algebra OR(2N-k|C)⊕O(k). Finally the comments on possible applications of Maxwell superalgebras are presented.
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S0370-2693(11)01494-8; Available from http://dx.doi.org/10.1016/j.physletb.2011.12.037; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: Syrian Arab Republic
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Journal Article
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Stevic, Stevo, E-mail: sstevic@ptt.rs2009
AbstractAbstract
[en] This paper presents a comprehensive study of the boundedness, global asymptotic stability and periodic character for positive solutions of a higher-order difference equation of interest.
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S0960-0779(08)00516-X; Available from http://dx.doi.org/10.1016/j.chaos.2008.11.012; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 42(1); p. 138-145

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AbstractAbstract
[en] We study the corner-to-corner resistance of an M x N resistor network with resistors r and s in the two spatial directions and obtain an asymptotic expansion of its exact expression for large M and N
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S1751-8113(09)93710-6; Available from http://dx.doi.org/10.1088/1751-8113/42/2/025205; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 42(2); [10 p.]

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AbstractAbstract
[en] We prove an asymptotic formula for the distribution of primes among the denominators of the approximants for almost all real numbers
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Available from http://dx.doi.org/10.1070/IM2008v072n02ABEH002400; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Izvestiya. Mathematics; ISSN 1064-5632;
; v. 72(2); p. 265-282

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AbstractAbstract
No abstract available
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Source
Available from http://dx.doi.org/10.1070/RM2004v059n02ABEH000724; Abstract only; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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AbstractAbstract
[en] A fast approach is described for determination of the normalized parameter of the failure flow for recoverable objects. It is shown that the asymptotic values of the parameter are reached in a very short period. This conclusion allows to consider the failure flow stationary in the reliability analysis and to use the asymptotic value ω-tilde for the whole period
Original Title
Експресен подход за определяне на надеждностните характеристики на обекти с възстановяване
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Source
1997; 4 p; FPEPM 1997: 15. Annual Conference of the Faculty of Power Engineering and Power Machines; Sozopol (Bulgaria); 17-20 Sep 1997; 2 refs., 2 figs.
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Miscellaneous
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Hoffmann-Ostenhof, M.
Vienna Univ. (Austria). Inst. fuer Theoretische Physik1987
Vienna Univ. (Austria). Inst. fuer Theoretische Physik1987
AbstractAbstract
[en] Results on nodal properties of L2 solutions of two-dimensional Schroedinger equations obtained in a previous paper are refined. The generally unbounded nodal set of ψ is investigated for r → ∞ and shown that in this limit the nodal set consists of non-intersecting nodal lines which look asymptotically either like straight lines or like branches of parabolas. (G.Q.)
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1987; 29 p
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Report
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Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.
Vienna Univ. (Austria). Inst. fuer Theoretische Physik1987
Vienna Univ. (Austria). Inst. fuer Theoretische Physik1987
AbstractAbstract
[en] Let ΩR=RnBR where n≥3 and BR{x is an element of Rn:|x|≤R}. We investigate the asymptotics of real valued solutions ψ is an element of L2(ΩR) of the Schroedinger equation (-Δ+V-E)ψ=0, where E<0 and V(x)→0 for |x|→∞ : Let D denote an unbounded nodal domain of ψ(i.e. a component of ΩR {x:ψ(x)=0}) and let S(r)={y is an element of Sn-1:ry is an element of D} with Sn-1 the unit sphere in Rn. Under suitable assumptions on V it is shown that for some γ>0 lim infr→∞rγ∫S(r)ψ2dσ/ ∫Sn-1ψ2dσ >0 and lim infr→∞ln(Volume(D intersection Br))/lnr≥(n+1)/2. Results of this type are already non trivial for radial problems with ψ satisfying non radial boundary conditions on ∂ΩR or for exited states of the Hydrogen atom if one considers linear combinations of different l-waves. 25 refs. (Author)
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1987; 37 p
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Report
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AbstractAbstract
[en] The discrete ergodic method is used to find a complete solution of the problem of the asymptotic behaviour of the number of representations of integers by an arbitrary integral isotropic ternary quadratic form both over regions on the corresponding surface and over the residue classes of a given modulus
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Source
Available from http://dx.doi.org/10.1070/IM2006v070n03ABEH002320; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Izvestiya. Mathematics; ISSN 1064-5632;
; v. 70(3); p. 587-604

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AbstractAbstract
No abstract available
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Available from http://dx.doi.org/10.1070/RM1998v053n04ABEH000057; Abstract only; Country of input: International Atomic Energy Agency (IAEA)
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