编队飞行星座相对运动的运动学描述与编队构型设计

分别以纬度幅角和平近点角、平纬度幅角及偏近点角为变量,推导了几种简单的编队飞行星座相对运动的运动学模型,这些模型和动力学模型(Hill方程)相一致,但更便于应用。并在此基础上,给出了当编队构型为空间圆形和星下点圆形时进行编队构型设计的一种运动学方法,该方法直接给出了星座中各星的轨道根数的计算方法,实例证明该方法简单实用。     

Existence for a matrix equation arising in microelectronics

In this paper we rigorously show the existence of solutions of a matrix equation which arises in the design of micro electronical circuits. This equation was studied by Szidarovszky and Palusinsk [Appl. Math. Comput. 64, 115-119(1994)], who also presented an iterative algorithm for its solution. We show, via an example, that this algorithm could converge extremely slow in certian cases. The solution can then be used to minimize the reflection coefficients of the active signals.

     

A method to shift moiré fringes using gap effect

A new method to shift moiré fringes using the gap effect is proposed. It is shown that the shift of fringe is linearly related to the shift of optical axis. The method can also be used for the determination of sign.     

Global synchronization in lattices of coupled chaotic systems

Based on the concept of matrix measures, we study global stability of synchronization in networks. Our results apply to quite general connectivity topology. In addition, a rigorous lower bound on the coupling strength for global synchronization of all oscillators is also obtained. Moreover, by merely checking the structure of the vector field of the single oscillator, we shall be able to determine if the system is globally synchronized.     

Preparation of organic/inorganic hybrid nanocomposites by ultraviolet irradiation and their packaging applications for organic optoelectronic devices

By ultraviolet (UV)-assisted synthetic procedure, we have successfully prepared several UV curable organic/inorganic hybrid nanocomposites with excellent gas barrier capabilities, moderate hardness, and good adhesive strength. The experimental results reveal that the physical properties of nanocomposites depend on their chemical structures. Therefore, introduction of silicone and polyurethane (PU) into the Acrylics backbone dramatically raises the adhesive strength as well as refractive index and lowers the gas penetration. Furthermore, we have also applied lab-made nanocomposite g for the encapsulation of organic optoelectronic devices such as OLEDs, flexible OLEDs, and organic solar cells. With the package of lab-made nanocomposite g, the organic optoelectronic devices effectively resist the entry of moisture and oxygen in the air, extending the lifetimes.     

One-pot synthesis and antiproliferative evaluation of pyrazolo[3,4-d]pyrimidine derivatives

An efficient one-pot methodology for the synthesis of pyrazolo[3,4-d]pyrimidines was developed by using 5-aminopyrazoles with formamide in presence of PBr₃ as the coupling agent. Among the examples presented in this work, compounds 41 and 54-56 with phenyl or 2-quinolinyl groups at N-1 and p-Me-Ph, p-Cl-Ph, or p-OMe-Ph group at C-3 position in the pyrazole ring possessed better potency against NCI-H226 and NPC-TW01 cancer cells with GI₅₀ values between 18 μM and 39 μM.