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  • Algebraic Calculation of the Energy Eigenvalues for the Nondegenerate Three-Dimensional Kepler-Coulomb Potential 
    Tanoudis, Y.; Daskaloyannis, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized as superintegrable. Kalnins, Kress and Miller (J. Math. ...
  • Algebraic dependences of meromorphic mappings in several complex variables 
    Duc Thoan Pham; Viet Duc Pham (Український математичний журнал, 2010)
    We give some theorems on algebraic dependence of meromorphic mappings in several complex variables into complex projective spaces.
  • Algebraic Geometry of Matrix Product States 
    Critch, A.; Morton, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We quantify the representational power of matrix product states (MPS) for entangled qubit systems by giving polynomial expressions in a pure quantum state's amplitudes which hold if and only if the state is a translation ...
  • Algebraic Morse theory and homological perturbation theory 
    Sköldberg, E. (Algebra and Discrete Mathematics, 2018)
    We show that the main result of algebraic Morse theory can be obtained as a consequence of the perturbation lemma of Brown and Gugenheim.
  • Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups 
    Calvaruso, G.; García-Río, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    Together with spaces of constant sectional curvature and products of a real line with a manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class of n-dimensional Lorentzian manifolds ...
  • Algebraic theory of measure algebras 
    Bezushchak, O.O.; Oliynyk, B.V. (Доповіді НАН України, 2023)
    A. Horn and A. Tarski initiated the abstract theory of measure algebras. Independently V. Sushchansky, B. Oliynyk and P. Cameron studied the direct limits of Hamming spaces. In the current paper, we introduce new examples ...
  • Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review 
    Baianu, I.C.; Glazebrook, J.G.; Brown, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A novel algebraic topology approach to supersymmetry (SUSY) and symmetry breaking in quantum field and quantum gravity theories is presented with a view to developing a wide range of physical applications. These include: ...
  • Algebra in superextensions of groups, II: cancelativity and centers 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2008)
    Given a countable group X we study the algebraic structure of its superextension λ(X). This is a right-topological semigroup consisting of all maximal linked systems on X endowed with the operation A∘B={C⊂X:{x ...
  • Algebra in superextensions of groups, I: zeros and commutativity 
    Banakh, T.T.; Gavrylkiv, V.; Nykyforchyn, O. (Algebra and Discrete Mathematics, 2008)
    Given a group X we study the algebraic structure of its superextension λ(X). This is a right-topological semigroup consisting of all maximal linked systems on X endowed with the operation A∘B={C⊂X:{x∈X:x−1C∈B}∈A} ...
  • Algebra in superextensions of inverse semigroups 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2012)
    We find necessary and sufficient conditions on an (inverse) semigroup X under which its semigroups of maximal linked systems λ(X), filters φ(X), linked upfamilies N₂(X), and upfamilies υ(X) are inverse.
  • Algebra in superextensions of semilattices 
    Banakh, T.; Gavrylkiv, V. (Algebra and Discrete Mathematics, 2012)
    Given a semilattice X we study the algebraic properties of the semigroup υ(X) of upfamilies on X. The semigroup υ(X) contains the Stone-ˇCech extension β(X), the superextension λ(X), and the space of filters φ(X) on X as ...
  • Algebra in the Stone-Čech compactification: applications to topologies on groups 
    Protasov, I.V. (Algebra and Discrete Mathematics, 2009)
    For every discrete group G, the Stone-Čech compactification βG of G has a natural structure of compact right topological semigroup. Assume that G is endowed with some left invariant topology I and let τ¯ be the set of all ...
  • Algebras and logics of partial quasiary predicates 
    Nikitchenko, M.; Shkilniak, S. (Algebra and Discrete Mathematics, 2017)
    In the paper we investigate algebras and logics defined for classes of partial quasiary predicates. Informally speaking, such predicates are partial predicates defined over partial states (partial assignments) of variables. ...
  • Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms 
    Albeverio, S.; Ayupov, Sh.A.; Zaitov, A.A.; Ruziev, J.E. (2009)
    In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all Lº-linear derivations and Lº-linear *-automorphisms ...
  • Algebro-Geometric Solutions of the Generalized Virasoro Constraints 
    Plaza Martín, F.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We will describe algebro-geometric solutions of the KdV hierarchy whose τ-functions in addition satisfy a generalization of the Virasoro constraints (and, in particular, a generalization of the string equation). We show ...
  • Algebro-Geometric Solutions to a New Hierarchy of Soliton Equations 
    Wang, H.; Geng, X. (Журнал математической физики, анализа, геометрии, 2015)
    With the help of the Lenard recursion equations, we derive a new hierarchy of soliton equations associated with a 3×3 matrix spectral problem and establish Dubrovin type equations in terms of the introduced trigonal curve ...
  • Algorithm and software for determining a musical genre by lyrics to create a song hit 
    Triantafillu, A.A.; Mateshko, M.A.; Shevchenko, V.L.; Sinitsyn, І.P. (Проблеми програмування, 2021)
    One of the needs of music business is a quick classification of the song genre by means of widely available tools. This work focuses on improving the accuracy of the song genre determination based on its lyrics through the ...
  • Algorithm flars and recognition of time series anomalies 
    Gvishiani, A.D.; Agayan, S.M.; Bogoutdinov, Sh.R.; Tikhotski, S.A.; Hinderer, J.; Bonnin, J.; Diament, M. (Системні дослідження та інформаційні технології, 2004)
    As a rule, algorithms of recognition of time series anomalies are based on time frequency or statistical analysis . This article is devoted to detailed formal description of new fuzzy set based algorithm FLARS (Fuzzy Logic ...
  • Algorithm for the United Quality Latent Index of the plant adaptability and its application field in monitoring of Deschampsia antarctica È. Desv. populations 
    Miryuta, N.; Smykla, J.; Parnikoza, I. (Український антарктичний журнал, 2019)
    Main objective of the research was to develop an algorithm for the United Quality Latent Index of Adaptability (UQLI, Iq) and to demonstrate its application on the study of Deschampsia antarctica È. Desv. at the monitoring ...
  • Algorithmic computation of principal posets using Maple and Python 
    Gasiorek, M.; Simson, D.; Zajac, K. (Algebra and Discrete Mathematics, 2014)
    We present symbolic and numerical algorithms for a computer search in the Coxeter spectral classification problems. One of the main aims of the paper is to study finite posets I that are principal, i.e., the rational ...