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  • Free energy of 3D Ising-like system near the phase transition point 
    Kozlovskii, M.P. (Condensed Matter Physics, 2009)
    A generalized representation for the scaling form of free energy of the system near the phase transition point is proposed. Explicit expressions for coefficients as functions of the reduced temperature and external field ...
  • Free Fermi and Bose Fields in TQFT and GBF 
    Oeckl, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a rigorous and functorial quantization scheme for linear fermionic and bosonic field theory targeting the topological quantum field theory (TQFT) that is part of the general boundary formulation (GBF). Motivated ...
  • Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations 
    Kuroki, K.; Nakayashiki, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Solutions of the qKZ equation associated with the quantum affine algebra Uq(^sl2) and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining ...
  • Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models 
    Parkhomenko, S.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    This is a review article of my recent papers on free field construction of D-branes in N = 2 superconformal minimal models and Gepner models.
  • Free field realizations of certain modules for affine Lie algebra slˆ(n,C) 
    Martins, R.A. (Algebra and Discrete Mathematics, 2011)
    For the affine Lie algebra slˆ(n,C) we study a realization in terms of infinite sums of partial differential operators of a family of representations introduced in [BBFK]. These representations generalize a construction ...
  • Free n-dinilpotent doppelsemigroups 
    Zhuchok, A.V.; Demko, M. (Algebra and Discrete Mathematics, 2016)
    A doppelalgebra is an algebra defined on a vector space with two binary linear associative operations. Doppelalgebras play a prominent role in algebraic K-theory. In this paper we consider doppelsemigroups, that is, sets ...
  • Free n-nilpotent dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2013)
    We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent ...
  • Free normal dibands 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2011)
    We construct a free normal diband, a free (ℓn,n)-diband, a free (n,rn)-diband and a free (ℓn,rn)-diband. We also describe the structure of free normal dibands and characterize some least congruences on these dibands.
  • Free products of finite groups acting on regular rooted trees 
    Gupta, C.K.; Gupta, N.D.; Oliynyk, A.S. (Algebra and Discrete Mathematics, 2007)
    Let finite number of finite groups be given. Let n be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted n-tree contains subgroups isomorphic to the ...
  • Free rectangular dibands and free dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2011)
    We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least (rb,rz)-congruence, the least left zero and right zero congruence, the least rectangular ...
  • Free (ℓr, rr)-dibands 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2013)
    We prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, rr)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, ...
  • Free semigroups in wreath powers of transformation semigroups 
    Oliynyk, A. (Algebra and Discrete Mathematics, 2010)
    It is established a criterion when the infinite wreath power of a finite transformation semigroup contains a free subsemigroup. It is shown that the infinite wreath power of a transformation semigroup either contains no ...
  • Free ultra-groups, generators and relations 
    Tolue, B.; Zolfaghari, P.; Moghaddasi, Gh. (Algebra and Discrete Mathematics, 2019)
    In this paper, we intend to define an ultra-group by its presentation. The attitude of the presentation for a group was the key for us to investigate in this area. Instead of writing whole elements of an ultra-group, we ...
  • Free Vibration of the Axially Loaded System of Two Beams Connected by Two-Directional Viscoelastic Interlayer 
    Cabanska-Placzkiewicz, K. (Проблемы прочности, 2000)
    In this paper the analytical method has been used for solving a problem of free vibration with clamping of the axially loaded sandwich beam. The sandwich beam consists of two external layers connected by viscoelastic ...
  • Free vibration of the system of two viscoelastic beams coupled by viscoelastic interlayer 
    Cabanska-Placzkiewicz, K. (1999)
    An analytical method of solution of the free vibration problem for composite system of two viscoelastic beams coupled by a viscoelastic interlayer has been proposed. The phenomenon of free vibration has been described using ...
  • Free-volume correlations in positron-sensitive annihilation modes in chalcogenide vitreous semiconductors: on the path from illusions towards realistic physical description 
    Shpotyuk, O.I.; Vakiv, M.M.; Shpotyuk, M.V.; Ingram, A.; Filipecki, J.; Vaskiv, A.P. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2014)
    A newly modified correlation equation between defect-related positron lifetime t₂ (ns) defined within two-state model and corresponding radius R (Å) of freevolume positron traps in the full non-linear form or simplified ...
  • Frequency analysis of the stochastic filtering using transfer functions. Part I: Sinusoidal input 
    Kharchenko, O. I.; Lonin, Yu.F.; Ponomarev, A.G. (Вопросы атомной науки и техники, 2018)
    Volterra-series-type analyses to communication systems with stochastic resonance driven by sine waves result to. The n -hold Fourier transform of the n -th Volterra kernel plays an important role in the analysis. Methods ...
  • Frequency-angular spectra of the stimulated Raman scattering parametric components under self-action 
    Ivanisik, А.І.; Isaenko, O.Iu.; Korotkov, P.A. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2012)
    It’s theoretically proved that in self-focusing mode of exciting radiation, selfphase modulation, and the relaxation oscillations of the nonlinear polarization amplitude, the frequency-angular structure of the parametric ...
  • Frequency-dependent dielectric coefficients of TlInS₂ amorphous films 
    Mustafaeva, S.N.; Asadov, M.M.; Qahramanov, K.Sh. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2007)
    The frequency dispersion of the loss tangent (tgδ) and the ac conductivity (σac) of amorphous films prepared by evaporation of TlInS₂ has been investigated at frequencies f = 5⋅10⁴…3.5⋅10⁷ Hz. It is shown that, at f > ...
  • Frequency drift rates of powerful decameter Type III bursts 
    Boiko, A.I.; Mel'nik, V.N.; Konovalenko, A.A.; Rucker, H.O.; Abranin, E.P.; Dorovskyy, V.V.; Lecacheux, A. (Advances in Astronomy and Space Physics, 2011)
    We report on the observations of powerful (fluxes are larger than 10⁻¹⁹ W m⁻² Hz⁻¹) solar Type III bursts at frequencies 10 − 30 MHz. Recordings of 163 bursts, observed in July 2002 and of 231 bursts observed in August ...