Results 71 to 80 of about 45,130 (244)
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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Design and Analysis for Digital Twin Optimization
Quality and Reliability Engineering International, EarlyView.ABSTRACT Digital twins (DTs) provide dynamic, virtual representations of physical systems, facilitating real‐time monitoring, prediction, and optimization through the integration of sensor data, computational models, and feedback mechanisms. Despite their potential, deploying DTs in complex systems often entails substantial computational costs.
Xueru Zhang +2 more
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Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
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Multivariable Wilson polynomials and degenerate Hecke algebras [PDF]
Selecta Mathematica, 2007 We study a rational version of the double affine Hecke algebra associated to the nonreduced affine root system of type $(C^\vee_n,C_n)$. A certain representation in terms of difference-reflection operators naturally leads to the definition of nonsymmetric versions of the multivariable Wilson polynomials.
Wolter Groenevelt
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steel research international, EarlyView.Here, the microstructure evolution of a new generation ultrahigh‐strength S1300‐type structural steel has been investigated for direct‐quench and tempering route. Various stages of tempering are elucidated by thorough characterization, and a new strain‐size parameter of martensite is proposed to have a correlation with hardness, which will be useful in
Buddhadev Jana, Radhakanta Rana
wiley +1 more source
Behavioural responses of brown bears to helicopter capture
Wildlife Biology, EarlyView.Understanding the effects of capture and handling on wild animals is crucial in evaluating ethical practices in ecological research, and in avoiding biased conclusions from misinterpreting biologging data potentially affected by capture. The aim of this study was to assess the effects of helicopter capture on the behaviour of Scandinavian brown bears ...
Alexandra Thiel +9 more
wiley +1 more source
A Relativistic Conical Function and its Whittaker Limits
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials.
Simon Ruijsenaars
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Ernest G. Kalnins +2 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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A Polynomial Blossom for the Askey–Wilson Operator [PDF]
Constructive Approximation, 2018 We introduce a blossoming procedure for polynomials related to the Askey–Wilson operator. This new blossom is symmetric, multiaffine, and reduces to the complex representation of the polynomial on a certain diagonal. This Askey–Wilson blossom can be used to find the Askey–Wilson derivative of a polynomial of any order. We also introduce a corresponding
Simeonov, Plamen, Goldman, Ron
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