碳化硅多型的会聚束电子衍射（CBED）研究

采用会聚束电子衍射（ＣＢＥＤ０的方法对我国辽南金伯利岩中的碳化硅矿物多型性进行了分析鉴定，通过对其结构的分析以及ＨＯＬＺ环半径的计算，发现了６Ｈ以及４Ｈ两种多其中４Ｈ多型为我国首次在自然界中发现的碳化硅多型种类，实践证明，会聚束电子射（ＣＢＥＤ）是分析矿物多型结构的方便可行的方法。     

含可变时延的大规模通有神经网络动力系统的吸引域

使用不等式技巧和非负矩阵性质,讨论了含可变时延的大规模通有神经网络动力系统的渐近行为,建立了估计该平衡态吸引域的方法。当时延有界时,给出了平衡态的指数吸引域及指数收敛速度估计。所得结论可用于含时延的大规模通有神经网络动力系统的容错性能评价以及综合过程。     

可允许极拓扑K(X,X′),(K)(X,X′),u(X,X′)与Dierolf拓扑F(μ),F(μ*)

指出K(X,X′)拓扑与K(X,X′)拓扑之间,u(X,X′)拓扑与K(X,X′)之间以及u(X,X′)拓扑与F(μ)(或F(μ*))之间均无固定强弱关系,是不可比较的.     

A review of red-eye pigmentation and diel activity patterns in skippers (Lepidoptera,Papilionoidea, Hesperiidae)

ABSTRACT

The visual systems and diel activity patterns of butterflies and moths have been studied for decades, yet understanding the underlying mechanisms that are associated with the evolution of these remains a major challenge. The order Lepidoptera is principally composed of nocturnal lineages with extreme morphological and behavioural adaptations to this lifestyle. Although most butterflies are diurnal, some clades are predominantly nocturnal, for instance, the Hedylidae. Skippers are another family that comprises multiple crepuscular and/or nocturnal lineages. Interestingly, many such lineages have red-eye pigmentation, and this morphological feature has been hypothesised to be an adaptation to the night-time lifestyle. Here, we review the occurrence and frequency of red-eye pigmentation as well as diel activity patterns in Hesperiidae. We place these data within a phylogenomic framework and provide hypotheses and predictions relative to the evolution of red-eye pigmentation in skippers with respect to diel activity. We suggest that several types of red-eye pigmentation exist in skippers, with possible structural red-eye pigmentation in some lineages of diurnal skippers. The colouration of eyes in Hesperiidae, the evolutionary mechanisms that drive these traits and the physiological underlying processes require further attention and could bring new insights into our understanding of butterfly vision systems.     

基于变分不等式KKT条件的等价关系的Levenberg-Marquardt算法

建立变分不等式问题KKT条件与光滑带约束方程组的等价关系,进而转化为约束优化问题。利用Levenberg-Marquardt方法给出求解变分不等式问题的算法,在不要求梯度矩阵非奇异的条件下得到了算法的全局收敛性。该算法在一定条件下是局部超线性或二次收敛的。     

迭代公式的一种加速收敛方法

基于求解非线性方程迭代公式收敛速度的定义,提出了一种新的迭代加速方法,特别对具有p(p≥2)阶收敛的迭代公式可以至少加速到p2+1阶,当1＜p＜2时,收敛阶可以提高到p2 +p-1阶,另外也讨论了p=1的情形.     

弱奇性积分方程的最优阶多尺度Petrov-Galerkin快速算法

 考虑求解第二类Fredholm弱奇性积分方程的多尺度Petrov-Galerkin压缩格式,给出压缩策略中截断参数的选取范围,证明了相应的压缩格式在保持稳定性、计算复杂度和系数矩阵条件数一致有界的基础上,收敛阶达到最优。并以数值算例验证了理论结果的正确性和有效性。     

加快斯考德法收敛速度的探讨

本文通过理论分析，结合作者编制的通风网络分风解算“ＮＳＳＰ”程序的实际验证，探讨了加快斯考德法收敛速度的技巧，从而进一步使该算法稳定，求解迅速，以满足通风系统优化对计算方法的不断要求。     

n阶Cesaro—Perron积分的收敛定理

利用变差型Ｃｅｓａｒｏ-Ｐｅｒｓｏｎ积分给出了（Ｃ，Ｐ）积分的几个收敛定理．     

迫敛性在解决求极限问题中的应用讨论

本文主要是讨论迫敛性在解决极限问题时所遇到的问题,并就这些问题的解决展开必要的讨论。