The consistency of estimator under fixed design regression model with NQD errors

In this article, basing on NQD samples, we investigate the fixed design nonparametric regression model, where the errors are pairwise NQD random errors, with fixed design points, and an unknown function. Nonparametric weighted estimator will be introduced and its consistency is studied. As special case, the consistency result for weighted kernel estimators of the model is obtained. This extends the earlier work on independent random and dependent random errors to NQD case

A consistent description of kinetic equation with triangle anomaly

We provide a consistent description of the kinetic equation with triangle anomaly which is compatible with the entropy principle of the second law of thermodynamics and the charge/energy-momentum conservation equations. In general an anomalous source term is necessary to ensure that the equations for the charge and energy-momentum conservation are satisfied and that the correction terms of distribution functions are compatible to these equations. The constraining equations from the entropy principle are derived for the anomaly-induced leading order corrections to the particle distribution functions. The correction terms can be determined for minimum number of unknown coefficients in one charge and two charge cases by solving the constraining equations.Comment: RevTex 4, 11 pages; With minor changes: typos are corrected and one reference is added. Accepted version to PR

High Altitude Steel Roof Truck Crane Installation

In order to solve the problems of crane operating range in blind areas and insufficient weight support of crane for steel structure bubble roof lifting construction, it is a must to design propelling crane on the roof, so that it can move on selected routes, completing the lifting work of steel roofing bubble. Mainly introduce the technical measures and related technical preparation of propelling crane on the roof for steel structure lifting process, to ensure the originality of steel structure during lifting process and safety of construction work,also to guarantee the progress of steel structure lifting work

Revisit spin effects induced by thermal vorticity

We revisit the spin effects induced by thermal vorticity by calculating them directly from the spin-dependent distribution functions. For the spin-1/2 particles, we give the polarization up to the first order of thermal vorticity and compare it with the usual result calculated from the spin vector. For the spin-1 particles, we give the spin alignment in terms of thermal vorticity. Although the spin alignment receives only second-order contribution from thermal vorticity, we find that some non-diagonal elements in spin density matrix can receive first order contribution. We also find that the spin effects for both Dirac and vector particles will receive extra contribution when the spin direction is associated with the particle's momentum.Comment: 23 pages, no figure