Results 71 to 80 of about 10,471,647 (271)
Axioms for Behavioural Congruence of Single-Pass Instruction Sequences [PDF]
Scientific Annals of Computer Science, 2017 In program algebra, an algebraic theory of single-pass instruction sequences, three congruences on instruction sequences are paid attention to: instruction sequence congruence, structural congruence, and behavioural congruence.
J.A. Bergstra, C.A. Middelburg
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Mathematics, 2021 This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra
Francisco G. Montoya +4 more
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Quantum Q systems: From cluster algebras to quantum current algebras
, 2016 In this paper, we recall our renormalized quantum Q-system associated with representations of the Lie algebra $A_r$, and show that it can be viewed as a quotient of the quantum current algebra $U_q({\mathfrak n}[u,u^{-1}])\subset U_q(\widehat{\mathfrak ...
Di Francesco, Philippe, Kedem, Rinat
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Currents on Grassmann algebras [PDF]
Journal of Geometry and Physics, 1995 We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on $Gr(N)$).
Coquereaux, R., Ragoucy, E.
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Nonlinear AnalysisIn a three-phase symmetric power system, we propose a transformation that converts the original current to a current with minimal losses while preserving the standard constraints. The selected transformation is realized in suitable geometric algebra and
Johanka Brdečková, Jaroslav Hrdina
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IEEE Access, 2020 With the increasing demand for multidimensional data processing, Geometric algebra (GA) has attracted more and more attention in the field of geographical information systems.
Uzair Aslam Bhatti +8 more
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Generalized Quantum Current Algebras [PDF]
Communications in Theoretical Physics, 2001 Two general families of new quantum deformed current algebras are proposed and identified both as infinite Hopf family of algebras, a structure which enable one to define ``tensor products'' of these algebras. The standard quantum affine algebras turn out to be a very special case of both algebra families, in which case the infinite Hopf family ...
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Cogent EducationAs technology becomes increasingly prominent in modern mathematics education, there’s a growing need to understand the essential knowledge mathematics teachers need to effectively integrate technology in algebra instructions.
Williams Osei, Douglas Darko Agyei
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Kac-Moody symmetry in the light front of gauge theories
Journal of High Energy Physics, 2023 We discuss the emergence of a new symmetry generator in a Hamiltonian realisation of four-dimensional gauge theories in the flat space foliated by retarded (advanced) time.
Hernán A. González +2 more
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Representations of Truncated Current Lie Algebras [PDF]
, 2007 Let g denote a Lie algebra, and let T(g) denote the tensor product of g with a ring of truncated polynomials. The Lie algebra T(g) is called a truncated current Lie algebra.
Wilson, Benjamin J.
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