Unified Octonionic Representation of the 10-13 Dimensions Clifford Algebra
Khaled Abdel-Khalek
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ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik +5 more
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Characterizing barren plateaus in quantum ansätze with the adjoint representation. [PDF]
Fontana E +7 more
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Representation theory of deformed oscillator algebras
C. Quesne, N. Vansteenkiste
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On the Behavior of the Solutions of a Modification of a Discrete Financial Model
ABSTRACT In this paper, we investigate the behavior of the solutions of a modification of a discrete financial model, consisting of two difference equations, one rational and one of exponential form, where the coefficients and the initial values are positive real numbers.
Gesthimani Stefanidou +1 more
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The principles behind equivariant neural networks for physics and chemistry. [PDF]
Kondor R.
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
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Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
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Development of a Computerized Adaptive Assessment and Learning System for Mathematical Ability Based on Cognitive Diagnosis. [PDF]
Zhang Y, Zhang L, Zhang H, Wu X.
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COVARIANCE LOSS, SZEMEREDI REGULARITY, AND DIFFERENTIAL PRIVACY. [PDF]
Boedihardjo M, Strohmer T, Vershynin R.
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