The fundamental group of period domains over finite fields

We determine the fundamental group of period domains over finite fields. This answers a question of M. Rapoport raised in [M. Rapoport, Period domains over finite and local fields, in: Proc. Sympos. Pure Math., vol. 62, part 1, 1997, pp. 361-381].     

毫米波行波管电子光学系统的设计

 利用基于虚边界元法的VBGUN程序和基于边界元法的MOM程序，对一折叠波导毫米波行波管的电子光学系统进行了设计。设计过程中使用计算相关性系数的方法调节参数，通过计算敏感性系数以考察加工误差带来的影响。设计过程显示：低导流系数、小束腰、高压缩比的毫米波电子枪的层流性与电极尺寸相关性很大，易受到加工误差的影响；聚束系统的设计难点在于轴上峰值磁感应强度要受到漂移管半径的限制，这一点可以通过提高工作电压和降低电流来平衡，因此它的设计必须与慢波结构的设计同时进行。     

具有i个强分支的有向图的幂敛指数集

本文给出了ｎ阶具有ｉ个强分支的有向图的幂敛指数集Ｒ（ｎ，ｉ）的一个明显表达式。     

Kinetic evaluation of the reactivity of flavonoids as radical scavengers

The reactivity of flavonoids as radical scavengers was investigated under kinetic considerations using radical polymerization of methyl methacrylates initiated by benzoyl peroxide. The number of radicals which are trapped by each molecule of phenol (the stoichiometric factors, n values) decreased in the order of epigallocatechin-3- O -gallate (ECG) (5.5) > catechin (3.5) > resveratrol (2.4) > quercetin (1.9)> n -propylgallate (1.5) > hesperetin (1.0). The inhibition rate constants ( k inh ) (1-3 ‐ 10 3 l/(mol s)) for the flavonoids were not different from each other, and, therefore, the radical scavenging activity depend on n values. The n values of the fully oxidized flavonoids were estimated from the frontier orbital theory, using PM3 semiempirical molecular orbital calculation. The experimental n values were consistent with the calculated values.     

两相连续铸钢周期Stefan问题的古典解

本文讨论一维情形下两相连续铸钢周期stefan问题,证明了周期古典解的存在性、唯一性和稳定性。     

应用LPFG/EFPI集成式光纤传感器实现温度及应变的同时测量

叙述了基于LPFG/EFPI的集成式光纤传感器的结构、温度和应变同时测量的原理及实验,首次制作了该传感器并测试了其性能.实验结果表明温度精度为±0.5℃,应变精度为±20με,可满足实际应用的要求.     

全有向图的幂敛指数

设D为有向图，T（D）为D的全有向图（Total-digraph),k(D)和p(D)分别为D的幂敛指数（Index of convergence)与周期（Period)，本文证明了。1，对任意非平凡有向图D,p(T(D))=1,k(T(D))≤max{2p(D)-1,2K(D) 1}，特别地，当D为本原有向图时，k(T(D))≤k(D) 1，当D不含有向圈时，k(T(D))=2k(D)-1；当D为有向圈Cn时，k(T(D))=2n-1.2。对任意非平凡强连通图D,k(T(D))≥Diam(D) 1。我们还证明了以上界是不可改进的最好界。     

Period Doubling in the Rössler System—A Computer Assisted Proof

Using rigorous numerical methods, we validate a part of the bifurcation diagram for a Poincaré map of the Rössler system (Rössler in Phys. Lett. A 57(5):397–398, 1976)—the existence of two period-doubling bifurcations and the existence of a branch of period two points connecting them. Our approach is based on the Lyapunov–Schmidt reduction and uses the C ^r -Lohner algorithm (Wilczak and Zgliczyński, available at http://www.ii.uj.edu.pl/~wilczak) to obtain rigorous bounds for the Rössler system.     

基于周期性矩形压力槽的可调谐长周期光纤光栅

利用机械线加工技术设计矩形压力槽制作了周期为600 μm,周期数为60的长周期光纤光栅.实验研究了所制作长周期光纤光栅的温度和压力特性,并通过调整光纤和压力槽之间的角度改变长周期光纤光栅的谐振波长.采用此技术制作的长周期光纤光栅最大谐振峰值可达15 dB,通过调整光纤与压力槽之间的角度可使谐振波长变化超过12 nm.