关于k紧优双环网络

给出了判断N个节点存在k(k≥0)紧优双环网络的一个算法,得到该算法的复杂性为O(N1/4).作为具体应用,给出一个7紧优双环网络的无限族.首次给出了一个7紧优双环网络G(81 190 689;16 035),其直径为15 612.     

关于无限维线性系统的小时滞鲁棒稳定性

在一般Banach空间中，给出了线性系统小时滞鲁棒稳定性的一个新类型的充分条件。     

遗传正规弱θ↑——空间的无限乘积

主要证明(1)如果X=∏σ∈∑Xσ是遗传∑-仿紧空间,则是遗传正规弱θ-可加空间当且仅当F∈∑<ω,∏σ∈∑FXσ是遗传正规弱θ-可加空间.(2)设X=∏i∈ωXi是遗传可数仿紧的,则下列三条件等价是遗传正规弱θ-可加的;F∈ω<ω,∏i∈FXi是遗传正规弱θ-可加的;n∈ω,∏i≤nXi是遗传正规弱θ-可加的.     

一类带16阶鞍结点的平面四次系统的全局结构

本文研究了第三临界情形下的一类带16阶鞍结点的平面四次系统的全局结构。     

关于行列有限方阵的对角化

给出了般域上行列有限无限方阵对角化（在等价意义下）问题的解答，对其中主要定理之一作了详细证明。     

无限群分次环的双积对偶定理

本文得出了无限群分次环的一般结构下的对偶定理，另给出例子说明其非凡性。     

Some evidence of drying trend over northern China from 1951 to 2004

The surface wetness index, Palmer drought sererity index and the retrieval of soil moisture over China were calculated using monthly precipitation and monthly mean surface air temperature. Based on the contrast analysis of the variation of the above three indices and precipitation, the dry/wet spatio-temporal pattern of northern China in the last 54 years was revealed, and the evidence of drying trend over northern China was analyzed, especially. The results show the following four facts: (1) The drying trend is the main characteristic of the eastern part of Northwest China and the central part of North China since the 1980s and it was enhanced in the last 15 years mainly due to the precipitation decrease and the temperature increase; (2) During the last 54 years, there was only one dry/wet shift at the interdecadal scale occurring in the eastern part of Northwest China and the central part of North China in the late 1970s, which was related to 1977/1978 global abrupt change, whereas there were three shifts in Northeast China, one was in the mid 1990s and the other two were in 1965 and 1983, respectively; (3) Unlike the variation trend of other subregions of northern China, the western part of Northwest China is currently located in a relatively wetting period, which is weak-ened due to the temperature increase; (4) The extreme drought frequency is obviously increasing in the eastern part of Northwest China, the central part of North China and Northeast China since the 1980s, which is closely related to the precipitation decrease and temperature increase in these subregions.     

自适应无限冲激响应陷波器抑制窄带干扰的误差补偿算法

考虑到直接序列扩频(DS-SS)系统中无限深度格型陷波器在去除窄带干扰的同时对扩频信号的损伤,在无限深度格型陷波器上添加一自适应横向滤波器,其输出作为对受损扩频信号的误差补偿.仿真结果证实,新设计的误差补偿滤波器改善了无限深度格型陷波器的性能,而系统计算复杂度只有少量增加.     

用最小二乘法求无限深势阱基态能量和波函数

用最小二乘法求出了粒子在无限深势阱中运动时的基态能量和波函数,并与精确解进行比较,结果表明二者相差很小.     

隧道地震反应分析中几种边界条件的比较

比较了粘弹性边界、粘性边界和固定边界条件的精度，根据不同边界条件，采用振动方法和波动方法，进行了在地震荷载作用下隧道结构的反应分析，分析了无限地基对计算结果的影响以及在地震荷载作用下隧道衬砌的薄弱部位。