Results 41 to 50 of about 32,914 (238)
, 2005 The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
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Loss Behavior in Supervised Learning With Entangled States
Advanced Quantum Technologies, EarlyView.Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
wiley +1 more source
Shape Invariant Rational Extensions And Potentials Related to Exceptional Polynomials
, 2015 In this paper, we show that an attempt to construct shape invariant extensions of a known shape invariant potential leads to, apart from a shift by a constant, the well known technique of isospectral shift deformation.
Kapoor, A. K +2 more
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Algorithms for trigonometric polynomials [PDF]
Proceedings of the 2001 international symposium on Symbolic and algebraic computation, 2001 In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonometric polynomials, that is, polynomials in sin(x) and cos(x).
Jamie Mulholland, Michael Monagan
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PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh +2 more
wiley +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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A Simple Proof of the Classification of Normal Toeplitz Matrices
, 2002 We give an easy proof to show that every complex normal Toeplitz matrix is classified as either of type I or of type II. Instead of difference equations on elements in the matrix used in past studies, polynomial equations with coefficients of elements ...
Arimoto, Akio
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Automated Bandwidth Selection for Inference in Linear Models With Time‐Varying Coefficients
Journal of Time Series Analysis, EarlyView.ABSTRACT The problem of selecting the smoothing parameter, or bandwidth, for kernel‐based estimators of time‐varying coefficients in linear models with possibly endogenous explanatory variables is considered. We examine automated bandwidth selection by means of cross‐validation, a nonparametric variant of Akaike's information criterion, and bootstrap ...
Charisios Grivas, Zacharias Psaradakis
wiley +1 more source
Discrete limit theorems for trigonometric polynomials
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Roma Kačinskaitė
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Identities Involving Zeros of Ramanujan and Shanks Cubic Polynomials [PDF]
, 2014 In this paper we highlight the connection between Ramanujan cubic polynomials (RCPs) and a class of polynomials, the Shanks cubic polynomials (SCPs), which generate cyclic cubic fields.
Abrate, Marco +3 more
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