Browsing Mathematics / Matematik by Title
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Quantum key distribution in the classical authenticated key exchange framework
(Springer, 2013)Key establishment is a crucial primitive for building secure channels in a multiparty setting. Without quantum mechanics, key establishment can only be done under the assumption that some computational problem is hard. ... 
Radsupplemented modules
(Universita di Padova, 2010)Let τ be a radical for the category of left Rmodules for a ring R. If M is a τcoatomic module, that is, if M has no nonzero τtorsion factor module, then τ(M) is small in M. If V is a τsupplement in M, then the intersection ... 
Radsupplements in injective modules
(Lugansk Taras Shevchenko National University, 2016)We introduce and study the notion of Radsinjective modules (i.e. modules which are Radsupplements in their injective hulls). We compare this notion with another generalization of injective modules. We show that the class ... 
Rational and multiwave solutions to nonlinear evolution equations by means of the Expfunction method
(Politechnica University of Bucharest, 2012)In this paper, we present a new application of the Expfunction method to carry out the integration of nonlinear evolution equations in terms of multiwave and rational solutions. To elucidate the solution procedure, we ... 
Rational and multiwave solutions to some nonlinear physical models
(Romanian Academy, 2013)The Expfunction method is shown to be an effective tool to explicitly construct rational and multiwave solutions of completely integral nonlinear evolution equations. The procedure does not require the bilinear representation ... 
Reconstruction and identification of τ lepton decays to hadrons and ντ at CMS
(IOP Publishing, 201601)This paper describes the algorithms used by the CMS experiment to reconstruct and identify τ → hadrons + νtau; decays during Run 1 of the LHC. The performance of the algorithms is studied in protonproton collisions recorded ... 
Recursion formula for the Green's function of a Hamiltonian for several types of Dirac deltafunction potentials in curved spaces
(TÜBİTAK, 2016)In this short article, we nonperturbatively derive a recursive formula for the Green's function associated with finitely many point Dirac delta potentials in one dimension. We extend this formula to the one for the Dirac ... 
Relation between relativistic and nonrelativistic quantum mechanics as integral transformation
(Springer, 200204)A formulation of quantum mechanics (QM) in the relativistic configurational space (RCS) is considered. A transformation connecting the nonrelativistic QM and relativistic QM (RQM) has been found in an explicit form. This ... 
Relative modification of prompt ψ (2S) and J /ψ yields from pp to PbPb collisions at sNN =5.02 TeV
(American Physical Society, 201704)The relative modification of the prompt ψ(2S) and J/ψ yields from pp to PbPb collisions, at the centerofmass energy of 5.02 TeV per nucleon pair, is presented. The analysis is based on pp and PbPb data samples collected ... 
Relativistic DNLS and KaupNewell hierarchy
(Institute of Mathematics, 201707)By the recursion operator of the KaupNewell hierarchy we construct the relativistic derivative NLS (RDNLS) equation and the corresponding Lax pair. In the nonrelativistic limit c → ∞ it reduces to DNLS equation and preserves ... 
Remark on:"Expfunction method for the exact solutions of fifth order KdV equation and modified Burgers equation" [Appl. Math. Comput. (2009) doi:10.1016/j.amc.2009.07.009]
(Elsevier, 201012)By means of the Expfunction method, Inan and Ugurlu [Appl. Math. Comput. (2009) doi:10.1016/j.amc.2009.07.009] reported eight expressions for being solutions to the two equations studied. In fact, all of them can be easily ... 
Renormalization of Dirac delta potentials through minimal extension of Heisenberg algebra
(IOP Publishing, 201709)We renormalize the model of multiple Dirac delta potentials in two and three dimensions by regularizing it through the minimal extension of Heisenberg algebra. We show that the results are consistent with the other ... 
Resolutions in cotorsion theories
(American Institute of Physics Publising, 2010)We consider the λ (μ) and λ̄ (μ̄) dimensions of modules taken under a cotorsion theory (F, C) satisfying the Hereditary Condition, and establish some inequalities between the dimensions of the modules of a short exact ... 
Resonance solitons as black holes in Madelung fluid
(World Scientific Publishing, 200208)Envelope solitons of the Nonlinear Schrödinger equation (NLS) under quantum potential's influence are studied. Corresponding problem is found to be integrable for an arbitrary strength, s ≠ 1, of the quantum potential. For ... 
Resonant dispersive Benney and BroerKaup systems in 2+1 dimensions
(IOP Publishing, 2014)We represent the Benney system of dispersionless hydrodynamic equations as NLS type infinite system of equations with quantum potential. We show that negative dispersive deformation of this system is an integrable system ... 
The resonant nonlinear Schrödinger equation in cold plasma physics. Application of BäcklundDarboux transformations and superposition principles
(Cambridge University Press, 200704)A system of nonlinear equations governing the transmission of uniaxial waves in a cold collisionless plasma subject to a transverse magnetic field is reduced to the recently proposed resonant nonlinear Schrödinger (RNLS) ... 
Reusing static keys in key agreement protocols
(Springer, 2009)Contrary to conventional cryptographic wisdom, the NIST SP 80056A standard explicitly allows the use of a static key pair in more than one of the key establishment protocols described in the standard. In this paper, we ... 
Rings and modules characterized by opposites of injectivity
(Elsevier, 201407)In a recent paper, Aydoǧdu and LópezPermouth have defined a module M to be Nsubinjective if every homomorphism N→M extends to some E(N)→M, where E(N) is the injective hull of N. Clearly, every module is subinjective ... 
Rings over which flat covers of simple modules are projective
(World Scientific Publishing, 201206)Let R be a ring with identity. We prove that, the flat cover of any simple right Rmodule is projective if and only if R is semilocal and J(R) is cotorsion if and only if R is semilocal and any indecomposable flat right ... 
Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions
(Mathematica Scandinavica, 2009)In this note we show that a ring R is left perfect if and only if every left Rmodule is weakly supplemented if and only if R is semilocal and the radical of the countably infinite free left Rmodule has a weak supplement.