在几乎下半连续的假设下抽象经济的均衡

The purpose of this paper is to make a further study on the abstract economy. Here, for the constraint correspondences we assume that they are almost lower semi-continuous (n-lower semi-continuous), which is weaken than that they are lower semi-continuous. Several equilibria existence theorems are proved.     

p-order Feigenbaum＇s Maps

A continuous map f from the unit closed interval into itself is called a p-order Feigenbaum‘s map if f^P(λx)=λf(x), f(0)=1 and f|λ,1| is univallecular. In this paper, some characterizations of p order Feigenbaum‘s maps are discussed and the existence for both types of such maps is proven.     

有限群中素数方幂阶子群的介数

本文利用基础代数中有关稳定子，陪集等理论，给出了有限群G中p^k阶子群个数的一个结果。     

Active Mixing in a Microchannel

We investigate a minute magneto hydro-dynamic mixer with relatively rapid mixing enhancement experimentally and analytically. The mixer is fabricated with brass and polymethyl methacrylate （PMMA） layers. A secondary flow is generated by using the Lorentz force in the fluids. The efficiency of mixing is greatly improved due to the large increase of the contact area between two mixing fluids. The micro particle image velocimetry technique is employed to measure the fluid flow characteristics in the micro-channel. Numerical simulation is performed based on the theoretical model of the computational fluid dynamics and the electromagnetic field theory. The experimental results are in good agreement with the numerical results, which indicates that the mixing area is enlarged by the driving of Lorentz force and the mixing can be enhanced.     

Fourier-Laplace级数的Vallee Poussin平均逼近

本文研究了Fourier-Laplace级数Vall閑 Poussin平均的逼近性质,建立了Vall閑Poussin平均的一致逼近度估计和几乎处处逼近的阶.