Results 41 to 50 of about 92,356 (230)
The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1)
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension $Delta_q$ of AW(3) called the universal Askey-Wilson algebra.
Paul Terwilliger
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The Exceptional (X_{\ell}) (q)-Racah Polynomials [PDF]
Prog.Theor.Phys.125:851-870,2011, 2011 The exceptional Racah and q-Racah polynomials are constructed. Together with the exceptional Laguerre, Jacobi, Wilson and Askey-Wilson polynomials discovered by the present authors in 2009, they exhaust the generic exceptional orthogonal polynomials of a single variable.
arxiv +1 more source
British Educational Research Journal, EarlyView.Abstract This study focuses on the adaptation of the Georgia School Personnel Survey (GSPS) to assess perceptions of school climate among Portuguese educational professionals, including teachers and support staff. Data from two samples (n1 = 1965; n2 = 2884) were analysed in the study.
Sofia Abreu Mendes +6 more
wiley +1 more source
Anomalous dimensions from crossing kernels
Journal of High Energy Physics, 2018 In this note we consider the problem of extracting the corrections to CFT data induced by the exchange of a primary operator and its descendents in the crossed channel.
Charlotte Sleight, Massimo Taronna
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Bayesian Optimization in Bioprocess Engineering—Where Do We Stand Today?
Biotechnology and Bioengineering, EarlyView.ABSTRACT Bayesian optimization is a stochastic, global black‐box optimization algorithm. By combining Machine Learning with decision‐making, the algorithm can optimally utilize information gained during experimentation to plan further experiments—while balancing exploration and exploitation.
Florian Gisperg +5 more
wiley +1 more source
The Universal Askey-Wilson Algebra
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in ...
Paul Terwilliger
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Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We consider the double affine Hecke algebra H=H(k_0,k_1,k_0^v,k_1^v;q) associated with the root system (C_1^v,C_1). We display three elements x, y, z in H that satisfy essentially the Z_3-symmetric Askey-Wilson relations.
Paul Terwilliger, Tatsuro Ito
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Factorization of colored knot polynomials at roots of unity
Physics Letters B, 2015 HOMFLY polynomials are the Wilson-loop averages in Chern–Simons theory and depend on four variables: the closed line (knot) in 3d space–time, representation R of the gauge group SU(N) and exponentiated coupling constant q.
Ya. Kononov, A. Morozov
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Synthesis and Characterization of A3[ReO4][ReO3N] and A'2[ReO3N] (A = Rb, Cs; A' = K, Cs)
European Journal of Inorganic Chemistry, Accepted Article.Crystallographically phase pure samples of A3[ReO4][ReO3N] with A = Rb, Cs were obtained from the reaction of NH4[ReO4] in an alkali metal hydroxide flux. Both compounds are isotypic to the known compound K3[ReO4][ReO3N] and crystallize in the space group R .[1]A'2[ReO3N] with A' = K, Cs were also synthesized from the respective alkali metal hydroxides,
Désirée Badea +3 more
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Metals, 2023 An investigation of partial radial distribution functions and atomic pair potentials within a system has established that the existing potential functions are rooted in the assumption of a static arrangement of atoms, overlooking their distribution and ...
Jiulong Hang, Dongping Tao
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