Weighted allocations,their concomitant-based estimators,and asymptotics

Annals of the Institute of Statistical Mathematics - Various members of the class of weighted insurance premiums and risk capital allocation rules have been researched from a number of...     

Solid-Phase Synthesis of Acrylamide Using Polymer-Supported β-Selenopropionic Acid

A novel polystyrene-supported β-selenopropionic acid has been developed and applied to facile synthesis of acrylamides.     

光学实验教学法的改进

对光学实验教学法做了一些改进：1)将单个光学实验划分为相对独立的单元，每个单元用不同的实验方法研究一个待测的物理量或观察分析一个物理现象；2)加强预习报告要求；3)以调整仪器为主的操作考核。     

Solid-phase Synthesis of Unsaturated β-Dicarbonyl Compounds from Polymer-supported 4-（Phenylseleno）morpholine

The solid-phase synthesis of unsaturated β-dicarbonyl compounds has been reported.     

Optimum Burn-in Time for a Bathtub Shaped Failure Distribution

An important problem in reliability is to define and estimate the optimal burn-in time. For bathtub shaped failure-rate lifetime distributions, the optimal burn-in time is frequently defined as the point where the corresponding mean residual life function achieves its maximum. For this point, we construct an empirical estimator and develop the corresponding statistical inferential theory. Theoretical results are accompanied with simulation studies and applications to real data. Furthermore, we develop a statistical inferential theory for the difference between the minimum point of the corresponding failure rate function and the aforementioned maximum point of the mean residual life function. The difference measures the length of the time interval after the optimal burn-in time during which the failure rate function continues to decrease and thus the burn-in process can be stopped.      

RP(j)×CP(k)上向量丛的全Stiefel-Whitney类

本文利用Steenrod上同调运算及吴公式决定了RP(j)×CP(k)上的向量丛的全Stiefel-Whitney类的可能的形状．     

Low-power rf plasma sources for technological applications: I. Plasma sources without a magnetic field

A general analytical theory is developed and numerical simulations are carried out of cylindrical plasma sources operating at an industrial frequency of f=13.56 MHz ω=8.52×10⁷ s⁻¹). Purely inductive surface exciters of electromagnetic fields (exciting antennas) are considered; the exciters are positioned either at the side surface of the cylinder or at one of its end surfaces. In the latter case, the plasma flows out of the source through the opposite end of the cylinder. A study is made of both elongated systems in which the length L of the cylinder exceeds its diameter 2R and planar disk-shaped systems with L<2R. The electromagnetic fields excited by the antenna in the plasma of the source are determined, and the equivalent plasma resistance, as well as the equivalent rf power deposited in the plasma, is calculated.     

J_(*,k)~(2~k+2~(k-1))的结构

本文通过构造上协边环MO*的一组生成元决定了J*,k2k+2k-1．     

High-order Harmonic Generation of Aligned Acetylene in Elliptically Polarized Strong Laser Fields?

We perform an experimental study on high-order harmonic generation (HHG) of aligned acetylene molecules induced by a 35-fs 800-nm strong laser field, by using a home-built HHG spectrometer. It is observed that the molecular HHG probability declines with increasing the laser ellipticity, which is in consistence with the deduction from the well-known tunneling-plus-rescattering scenario. By introducing a weak femtosecond laser pulse to nonadiabatically align the molecules, we investigated the molecular orbital effect on the HHG in both linearly and elliptically polarized driving laser fields. The results show that the harmonic intensity is maximum for the molecular axis aligned perpendicularly to the laser electric field. It indicates that both the highest occupied molecular orbitals (HOMO) and HOMO-1 contribute to the strong-field HHG of acetylene molecules. Our study should pave the way for understanding the interaction of molecules with ultrafast strong laser fields.     

Application of Rothe’s Method to a Parabolic Inverse Problem with Nonlocal Boundary Condition

We consider an inverse problem for the determination of a purely time-dependent source in a semilinear parabolic equation with a nonlocal boundary condition. An approximation scheme for the solution together with the well-posedness of the problem with the initial value u₀ ∈ H¹(Ω) is presented by means of the Rothe time-discretization method. Further approximation scheme via Rothe’s method is constructed for the problem when u₀ ∈ L²(Ω) and the integral kernel in the nonlocal boundary condition is symmetric.