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Identification of candidate sex hormone-associated genes and immune infiltration characteristics in osteoarthritis based on bioinformatics analysis and machine learning. [PDF]
Wang Y +9 more
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Exploring epigenome-proteome interactions underlying post-surgical progression of non-functioning pituitary adenomas using hypernetwork modelling. [PDF]
Suman M +9 more
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Fast and accurate extraction of microwave filter coupling matrix via physics-informed deep learning. [PDF]
Sallam T, Attiya AM.
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Functional Analysis and Its Applications, 1983
Classical r-matrices were introduced as a useful tool to deal with the Poisson bracket relations for classical integrable systems. They are a natural counterpart to R. Baxter's quantum matrices. Their study was initiated by the Leningrad group (L. S. Faddeev, E. Sklyanin et al.); important contributions are due to \textit{A. A.
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Classical r-matrices were introduced as a useful tool to deal with the Poisson bracket relations for classical integrable systems. They are a natural counterpart to R. Baxter's quantum matrices. Their study was initiated by the Leningrad group (L. S. Faddeev, E. Sklyanin et al.); important contributions are due to \textit{A. A.
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Theoretical and Mathematical Physics, 2008
In this paper the authors propose another way, the so-called dual \(R\)-matrix integrability, to construct algebras of mutually commuting first integrals of some Euler-Arnold-type equations using the notion of the classical \(R\)-operator. Considered examples of the Lie algebras \(\mathfrak{g}\) with the Kostant-Adler-Symes and triangular ...
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In this paper the authors propose another way, the so-called dual \(R\)-matrix integrability, to construct algebras of mutually commuting first integrals of some Euler-Arnold-type equations using the notion of the classical \(R\)-operator. Considered examples of the Lie algebras \(\mathfrak{g}\) with the Kostant-Adler-Symes and triangular ...
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1996
We introduce the R-matrix method as applied to electron-atom and electron-ion scattering, and in particular we discuss the specific two-electron problem of electron-hydrogen-like ion scattering. A computer code for the calculation of cross sections for electron—hydrogen-like ion scattering is described together with some sample input and output data.
P. G. Burke, M. P. Scott
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We introduce the R-matrix method as applied to electron-atom and electron-ion scattering, and in particular we discuss the specific two-electron problem of electron-hydrogen-like ion scattering. A computer code for the calculation of cross sections for electron—hydrogen-like ion scattering is described together with some sample input and output data.
P. G. Burke, M. P. Scott
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2021
In this thesis, we extend the numerical S-matrix bootstrap program to 1+1d theories with a boundary, where we bootstrap the 1-to-1 reflection matrix (R-matrix). We review the constraints that a physical R-matrix must obey, namely unitarity, analyticiy and crossing symmetry.
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In this thesis, we extend the numerical S-matrix bootstrap program to 1+1d theories with a boundary, where we bootstrap the 1-to-1 reflection matrix (R-matrix). We review the constraints that a physical R-matrix must obey, namely unitarity, analyticiy and crossing symmetry.
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The R-matrix Method in Nuclear Astrophysics
EAS Publications Series, 2007We present a short overview of the R-matrix method in nuclear physics, with emphasis on nuclear astrophysics. The method can be applied in two ways: solving the Schrodinger equation for scattering states, or fitting experimental cross sections. Both variants are presented in a common framework. The method is illustrated with the α + α scattering, and
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The uniqueness theorem for the universal R-matrix
Letters in Mathematical Physics, 1992It is well-known that the universal \(R\)-matrices for quantized semisimple finite dimensional Lie algebras and for quantized Kac-Moody algebras are uniquely determined (under some conditions) by quasi-cocommutativity and quasi-triangularity of the corresponding (quasi-triangular) Hopf algebra.
Khoroshkin, S. M., Tolstoĭ, V. N.
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Multiparameter R-matrix for orthosymplectic groups
Journal of Physics A: Mathematical and General, 1993Summary: We consider the multiparameter deformation of a quantum mechanical phase space associated with \(n\) bosonic and \(m\) fermionic coordinates. This generates \((n+m)\times (n+m-1)/2+1\) parameter solution of the quantum Yang-Baxter equation for \(OSp(2m/2n)\).
Parashar, Preeti, Soni, S. K.
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