Operator (computer programming)

About: Operator (computer programming) is a research topic. Over the lifetime, 40896 publications have been published within this topic receiving 671452 citations. The topic is also known as: operator symbol & operator name.

G-convergence of parabolic operators

Abstract: CONTENTS Introduction § 1. Abstract parabolic operators § 2. G-convergence of abstract parabolic operators. The compactness theorem § 3. G-convergence of parabolic differential operators. Auxiliary results § 4. Basic properties of the G-convergence of parabolic differential operators § 5. Estimates for the coefficients of a G-limiting operator. Some examples References

Deformed oscillator algebras and QFT in κ-Minkowski spacetime

Abstract: In this paper, we study the deformed statistics and oscillator algebras of quantum fields defined in $\ensuremath{\kappa}$-Minkowski spacetime. The twisted flip operator obtained from the twist associated with the star product requires an enlargement of the Poincar\'e algebra to include the dilatation generators. Here we propose a novel notion of a fully covariant flip operator and show that to the first order in the deformation parameter it can be expressed completely in terms of the Poincar\'e generators alone. The $R$ matrices corresponding to the twisted and the covariant flip operators are compared up to first order in the deformation parameter and they are shown to be different. We also construct the deformed algebra of the creation and annihilation operators that arise in the mode expansion of a scalar field in $\ensuremath{\kappa}$-Minkowski spacetime. We obtain a large class of such new deformed algebras which, for certain choice of realizations, reduce to results known in the literature.

Method for generating performance ratings for a vehicle operator

Abstract: In one aspect of the present invention, a method for generating performance ratings that indicate the driving performance of a vehicle operator is disclosed. The method senses various operating parameters of the vehicle and produces representative signals. Sensed signals are compared to corresponding target values. A plurality of is performance ratings are determined. Finally, an operator summary report illustrating the performance ratings is generated. The report includes recommended actions to improve the performance of the operator.

Semiclassics, Goldstone bosons and CFT data

Abstract: Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers of the charge. The key is the operator state correspondence by which such operators are associated with a finite density superfluid phase for the theory quantized on the cylinder. The dynamics is dominated by the corresponding Goldstone hydrodynamic mode and the derivative expansion coincides with the inverse charge expansion. We illustrate and further clarify this situation by first considering simple quantum mechanical analogues. We then systematize the approach by employing the coset construction for non-linearly realized space-time symmetries. Focussing on CFT3 we illustrate the case of higher rank and non-abelian groups and the computation of higher point functions. Three point function coefficients turn out to satisfy universal scaling laws and correlations as the charge and spin are varied.