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  • Bias control in the estimation of spectral functionals 
    Sakhno, L. (2007)
    We consider estimators for integrals of a spectrum and a bispectrum for random fields X(t), t belongs R^d, and present conditions guaranteeing the rate of convergence of bias to zero appropriate for dimensions d = 1, 2, 3.
  • Bias for prismatic dislocation loops in zirconium. Numerical analysis 
    Trotsenko, O.G.; Babich, A.V.; Ostapchuk, P.M. (Problems of Atomic Science and Technology, 2023)
    Using the analytical expression for the energy of elastic interaction of radiation point defects with a prismatic edge dislocation loop of zirconium (Burgers vector bᴰ=1/3⟨1120⟩, {1120} occurrence plane), the bias of loops ...
  • Bias of basal dislocation loop in zirconium 
    Babich, A.V.; Ostapchuk, P.N. (Вопросы атомной науки и техники, 2021)
    An analytical expression for the elastic interaction energy of radiation point defects of the dipole type with the basal dislocation loop of the hcp metal is obtained using the Green's function method for hexagonal crystals ...
  • Bicomplex number and tensor product surfaces in R⁴₂ 
    Karakuş, S.Ö.; Yayli, Y. (Український математичний журнал, 2012)
    We show that a hyperquadric M in R⁴₂ is a Lie group by using the bicomplex number product. For our purpose, we change the definition of tensor product. We define a new tensor product by considering the tensor product surface ...
  • Bicrossed Products, Matched Pair Deformations and the Factorization Index for Lie Algebras 
    Agore, A.L.; Militaru, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    For a perfect Lie algebra h we classify all Lie algebras containing h as a subalgebra of codimension 1. The automorphism groups of such Lie algebras are fully determined as subgroups of the semidirect product h⋉(k∗×AutLie(h)). ...
  • Bidifferential Calculus Approach to AKNS Hierarchies and Their Solutions 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We express AKNS hierarchies, admitting reductions to matrix NLS and matrix mKdV hierarchies, in terms of a bidifferential graded algebra. Application of a universal result in this framework quickly generates an infinite ...
  • Biexcitons in solid neon 
    Wiethoff, P.; Kassühlke, B.; Menzel, D.; Feulner, P. (Физика низких температур, 2003)
    We study the creation of biexcitons in neon films on a metal substrate by one-photon processes. We demonstrate that photon stimulated desorption of ions is a perfect tool for the investigation of these excitation processes ...
  • Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors 
    Nastase, H.; Papageorgakis, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to ...
  • Bifurcation and stability for diffusive logistic equations with nonlinear boundary conditions 
    Umezu, K. (Нелинейные граничные задачи, 2000)
    In this note we study a semilinear elliptic boundary value problem of one parameter dependence which arises in population genetics, having nonlinear boundary conditions. For some cases of sign indefinite weights, we ...
  • Bifurcation of an equilibrium point in a system of nonlinear parabolic equations with transformed argument 
    Klevchuk, I.I. (Нелинейные граничные задачи, 1999)
  • Bifurcation picture and stability of the gap and out-gap discrete solitons 
    Kroon, L.; Bogdan, M.M.; Kovalev, A.S.; Malyuta, E.Yu. (Физика низких температур, 2007)
    The dynamics of a quaternary fragment of a discrete system of coupled nonlinear oscillators with modulated frequency parameters is investigated and the stability of its gap and out-gap soliton-like excitations is studied.
  • Bifurcations and a chaos strip in states of long Josephson junctions 
    Yugay, K.N.; Blinov, N.V.; Shirokov, I.V. (Физика низких температур, 1999)
    Stationary and nonstationary, in particular, chaotic states in long Josephson junctions are investigated. Bifurcation lines on the parametric bias current-external magnetic field plane are calculated. The chaos strip along ...
  • Bifurcations of Solitary Waves 
    Kuznetsov, E.A.; Agafontsev, D.S.; Dias, F. (Журнал математической физики, анализа, геометрии, 2008)
    The paper provides a brief review of the recent results devoted to bifurcations of solitary waves. The main attention is paid to the universality of soliton behavior and stability of solitons while approaching supercritical ...
  • Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology 
    Manin, Y.I.; Marcolli, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We introduce some algebraic geometric models in cosmology related to the ''boundaries'' of space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons. We suggest to model the kinematics of Big Bang using ...
  • Big bang modelling in core of the Earth and origin of oil and gas 
    Muraveynyk, Ju. (Геофизический журнал, 2010)
  • Big data - the new challenge facing business 
    Tashkova, M. (Економічний вісник Донбасу, 2016)
    Today there are many sources that create large volumes of data. On the one hand, these are the people themselves, who are able to generate information on their own using the Internet and social networks. On the other hand, ...
  • Big lex rei sitae в угодах з цінними паперами до Гаазької конвенції про право, що застосовується до цінних паперів, які находяться у посередника 
    Буквич, А.В. (Часопис Київського університету права, 2010)
    Статтю присвячено основним проблемам щодо розуміння та застосування ключового принципу ринку вибору права - ринку цінних паперів, нормі місцезнаходження речі (lex rei sitae). Володіння та передача цінних паперів на міжнародних ...
  • Big Picard theorem for meromorphic mappings with moving hyperplanes in Pn(C) 
    Quang, Si Duc; Giang, Ha Huong (Український математичний журнал, 2014)
    We present some extension theorems in the style of the Big Picard theorem for meromorphic mappings of Cm into Pn(C) with a few moving hyperplanes.
  • Big science with 2-m class telescopes in a global network 
    Hatzes, A.P.; Mkrtichian, D.E. (Кинематика и физика небесных тел, 2003)
  • Bihamiltonian approach to the gauge models: closed string model 
    Gershun, V.D. (Вопросы атомной науки и техники, 2001)
    The closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system in assumption that string model is the integrable model for particular kind of the background ...