采用时空混沌耦合映象格子产生混沌扩频序列

利用耦合映象格子这一具体的时空混沌模型来产生混沌扩频序列，研究了产生混沌扩频序列的方法，并对序列特性进行了分析，结果证明产生出来的序列扩频特性性能良好，可以应用于扩频通信系统。     

A genetic algorithm on multiple sequences alignment problems in biology

The study and comparison of sequences of characters from a finite alphabet is relevant to various areas of science, notably molecular biology. The measurement of sequence similarity involves the consideration of the possible sequence alignments in order to find an optimal one for which the “distance” between sequences is minimum. In biology informatics area, it is a more important and difficult problem due to the long length (100 at least) of sequence, this cause the compute complexity and large memory require. By associating a path in a lattice to each alignment, a geometric insight can be brought into the problem of finding an optimal alignment, this give an obvious encoding of each path. This problem can be solved by applying genetic algorithm, which is more efficient than dynamic programming and hidden Markov model using commomly now. Foundation item: Supported by Zi-qiang Foundation of Wuhan University and Open Foundation of the State Key-Laboratory of Software Engineering, Wuhan University Biography: Shi Feng(1966-), male, Associate professor, research direction: bioinformatics.     

蛋白质的二级结构序列和结构型

从蛋白质的二级结构序列出发 ,提出了冗余的概念 ,定义了冗余数量和冗余长度 ,给出了不同结构型蛋白的冗余数量和长度的分布特性 .统计结果表明 α类蛋白中 30 %、β类蛋白中84 %、α/β类蛋白中 95 %的序列不同程度的存在冗余 ,冗余数量和冗余长度主要分布在 1～ 3的范围 .以主二级结构序列三联体为参数 ,利用信息聚类方法对 α类、β类、α/ β类、α β类的6 0 0个蛋白进行了聚类 ,结果表明 ,对冗余较少的α类蛋白 85 %以上能够较好地聚类在一枝中 ,但对于冗余较多的其它类蛋白不能分在一个大支中 ,大部分可以分散在多个小支中 .以主二级结构序列三联体为参数 ,利用 Mahalanobis距离方法对上述四种结构型进行预测 ,预测的总体准确率为 81 .1 % .聚类结果和利用 Mahalanobis距离分类结果充分展示了蛋白质二级结构序列对结构型的特殊作用 ,但由于冗余的影响使得二级结构序列的信息并未充分显示出来 .说明从蛋白质二级结构序列出发预测结构型和构建蛋白质框架结构是合理的选择     

Spectral analysis of phylogenetic data

The spectral analysis of sequence and distance data is a new approach to phylogenetic analysis. For two-state character sequences, the character values at a given site split the set of taxa into two subsets, a bipartition of the taxa set. The vector which counts the relative numbers of each of these bipartitions over all sites is called a sequence spectrum. Applying a transformation called a Hadamard conjugation, the sequence spectrum is transformed to the conjugate spectrum. This conjugation corrects for unobserved changes in the data, independently from the choice of phylogenetic tree. For any given phylogenetic tree with edge weights (probabilities of state change), we define a corresponding tree spectrum. The selection of a weighted phylogenetic tree from the given sequence data is made by matching the conjugate spectrum with a tree spectrum. We develop an optimality selection procedure using a least squares best fit, to find the phylogenetic tree whose tree spectrum most closely matches the conjugate spectrum. An inferred sequence spectrum can be derived from the selected tree spectrum using the inverse Hadamard conjugation to allow a comparison with the original sequence spectrum. A possible adaptation for the analysis of four-state character sequences with unequal frequencies is considered. A corresponding spectral analysis for distance data is also introduced. These analyses are illustrated with biological examples for both distance and sequence data. Spectral analysis using the Fast Hadamard transform allows optimal trees to be found for at least 20 taxa and perhaps for up to 30 taxa. The development presented here is self contained, although some mathematical proofs available elsewhere have been omitted. The analysis of sequence data is based on methods reported earlier, but the terminology and the application to distance data are new.     

独立随机变量第k个最大值的密度函数的局部一致收敛

ξ_1,ξ_2,…,ξ_n是独立同分布随机变量,公共分布函数F(x)绝对连续,g_n.k(x)为ξ_1,…,ξ_n的第k个规范化最大值的分布密度函数.本文讨论了g_n,k(x)的局部一致收敛性以及在L_p(O相似文献   

Banach空间中混合型非线性积分──微分方程的最大解和最小解

在弱序列完备的Ｂａｎａｃｈ空间中，利用推理论和单调迭代方法，研究了混合型非线性积分－微分方程初值问题最大解和最小解的存在性。其结果改进和推广了许多已知的结果。     

收敛复数列空间上的Taylor猜想

本文证明,取值于收敛复数列Banach空间c的随机元列Vn,不能同时满足EV_n=0,||V_n||≡1及||∑_(i=1)~nV_1/n||≡1.c为收敛实数列空间时,这是Taylor在Stochastic Convergence of Weighted sums of Random Elementsin Linear Spaces,Springer,107面中提出的一个猜想,已被作者解决,并在1986年世界数学家会议上宣读,当时有人问,c能否是收敛复数列空间?本文回答了这个问题.     

一株黄铜矿专属浸出细菌的分离与鉴定

从甘肃白银硫化矿区矿坑水中分离得到一株能够浸矿的细菌（命名为BY）,该菌株为革兰氏阴性细菌,短杆状,菌体的直径×长度为（0.45±0.05）μm×（1.5±0.4）μm,最适生长温度为25-30℃,最适pH值为2.0,化能自养型,能利用亚铁、单质硫和低浓度的葡萄糖生长,不能利用硫代硫酸钠、蛋白胨生长。研究结果表明：BY菌株与嗜酸氧化亚铁硫杆菌（简称A.f菌）WJ13位于系统发育树同一个分支中,相似度为99.66%,与标准A.f菌株ATCC23270的相似度为99.93%;编码区的核酸序列与报道序列（登记序列号DQ166839-DQ166841）仅差1个碱基,氨基酸序列完全一致;于30℃浸出27 d后,含菌株的摇瓶的Cu^2＋的质量浓度即达到60 mg/L,而无菌浸出时Cu^2＋的质量浓度仅为10 mg/L,表明该菌株具有应用于黄铜矿浸出的潜力。     

m序列法测量室内脉冲响应的非线性失真分析

m序列法测量室内脉冲响应已经被广泛接受，鉴于实际系统中的噪声和非线性会降低脉冲响应测量的精确性，对m序列法测量过程中室内系统微弱非线性所引起的失真进行了分析．叠加有微弱非线性的室内系统在时域可以等效为一个线性子系统和非线性无记忆环节的级联模型．根据该模型，推导了单一非线性作用下运用m序列法测量的室内脉冲响应误差，并且分析了该方法对各阶非线性的抑制能力．仿真实验验证了推论的正确性．