Browsing Mathematics / Matematik by Title
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Qanalog of shock soliton solution
(IOP Publishing, 201011)Based on Jackson's qexponential function, we introduce a qanalog of Hermite and Kampe de Feriet polynomials. It allows us to introduce and solve the qheat equation in terms of qKampe de Feriet polynomials with arbitrary ... 
Qanalytic functions, fractals and generalized analytic functions
(IOP Publishing, 201401)We introduce a new class of complex functions of complex argument which we call qanalytic functions. These functions satisfy qCauchyRiemann equations and have real and imaginary parts as qharmonic functions. We show ... 
qdeformed and cDeformed Harmonic Oscillators
(Yukawa Institute for Theoretical Physics, 200310)Hamilton functions of classical deformed oscillators (cdeformed oscillators) are derived from Hamiltonians of gdeformed oscillators of the Macfarlane and Dubna types. A new scale parameter, lq, with the dimension of ... 
QShock soliton evolution
(Elsevier, 201209)By generating function based on Jackson's qexponential function and the standard exponential function, we introduce a new qanalogue of Hermite and Kampede Feriet polynomials. In contrast to qHermite polynomials with ... 
Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the halfline
(American Institute of Physics Publishing, 20160201)In this paper, we study the interaction between a nonlinear focusing Robin type boundary source, a nonlinear defocusing interior source, and a weak damping term for nonlinear Schrödinger equations posed on the infinite ... 
Quantum calculus of classical vortex images, integrable models and quantum states
(IOP Publishing, 201610)From two circle theorem described in terms of qperiodic functions, in the limit q→1 we have derived the strip theorem and the stream function for N vortex problem. For regular Nvortex polygon we find compact expression ... 
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 ... 
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 ... 
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 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.