基于拟群的伪随机序列周期研究

基于拟群的非线性伪随机序列在密码学中有着重要的应用,尤其是周期长的非线性伪随机序列,但该序列的拟群目前只能通过计算机做统计实验的方法得到.笔者从理论上给出了周期增长率高的拟群的代数与组合特征以及其构造方法.     

观测站非机动情况下的渐进无偏目标跟踪算法

针对无源目标跟踪中将非线性测量方程伪线性化带来有偏估计的缺点,提出了一种基于方位和径向速度联合估计的渐进无偏目标跟踪算法。该算法通过对方位-径向速度组成的伪线性测量方程的噪声协方差矩阵进行约束,使其均方误差达到最小,得到目标状态向量的最小二乘无偏解。仿真和实验结果表明,在观测站非机动情况下,算法能够渐进无偏地收敛到真值,收敛后的距离跟踪误差在5%以内。     

多狭缝空间滤波假彩色编码

利用空间滤波合成狭缝彩虹全息技术对二维透射物进行假彩色编码,当参考光以不同的方向传播时,记录二维透射物的不同空间频谱所对应的物像,全息图在白光再现时将透镜平移就呈现不同颜色全息效果图。     

Quasi‐randomness of graph balanced cut properties

Quasi‐random graphs can be informally described as graphs whose edge distribution closely resembles that of a truly random graph of the same edge density. Recently, Shapira and Yuster proved the following result on quasi‐randomness of graphs. Let k ≥ 2 be a fixed integer, α₁,…,α_k be positive reals satisfying \begin{align*}\sum_{i} \alpha_i = 1\end{align*} and (α₁,…,α_k)≠(1/k,…,1/k), and G be a graph on n vertices. If for every partition of the vertices of G into sets V ₁,…,V _k of size α₁n,…,α_kn, the number of complete graphs on k vertices which have exactly one vertex in each of these sets is similar to what we would expect in a random graph, then the graph is quasi‐random. However, the method of quasi‐random hypergraphs they used did not provide enough information to resolve the case (1/k,…,1/k) for graphs. In their work, Shapira and Yuster asked whether this case also forces the graph to be quasi‐random. Janson also posed the same question in his study of quasi‐randomness under the framework of graph limits. In this paper, we positively answer their question. © 2011 Wiley Periodicals, Inc. Random Struct. Alg., 2011     

Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations

In this paper, we establish a new composition theorem about Stepanov-like pseudo almost automorphic functions under the local Lipschitz condition. Using this composition theorem, we also study the existence and uniqueness of pseudo almost automorphic solutions for nonautonomous evolution equations. Our results extend many recent known ones on these topics.     

一类三维拟抛物粘性扩散方程有限差分逼近的长时间行为(英文)

研究了一类带有周期边界条件的三维拟抛物粘性扩散方程有限差分解的长时间行为.证明了数值解的存在唯一性,离散系统全局吸引子的存在性,差分格式的长时间稳定性和收敛性.此外,我们给出了上半连续性.     

Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument [t]

In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the notion of pseudo almost periodic vector sequences     

颗粒流体两相流模型研究进展

本文介绍了颗粒流体两相流动的特征及其模拟方法, 重点论述了拟流体模型的研究现状及发展, 并对两相流动模拟中的各种方法进行了展望。     

Influence of Cyclodextrin and Temperature on the Kinetics of Free Radical Polymerization of N‐Adamantylacrylamide in Water

N‐Adamantylacrylamide ( 3 ) was complexed with randomly methylated β‐cyclodextrin (RAMEB) forming the water‐soluble host–guest monomer‐complex 3a . A 1:1 complex stoichiometry was proven by NMR titration (Job's method). We investigated the free radical polymerization of the complex 3a using the water‐soluble azoinitiator 2,2′‐azobis[2‐(2‐imidazolin‐2‐yl)‐propane]dihydrochloride (VA044) at different temperatures. We observed that, below T_crit a solution polymerization of 3a takes place. Above T_crit, a precipitation mechanism leads to an increase in the relative polymerization rate.

     

麻黄生物碱中一对光学异构体在薄层色谱原位的表面增强拉曼光谱研究

应用表面增强技术(SERS)将薄层色谱(TLC)与傅里叶变换拉曼光谱(FT-Raman)联用,在薄层色谱分离斑点原位,获得中草药麻黄中麻黄生物碱衍生物中一对关于手性碳的光学异构体：去甲基麻黄碱,去甲基伪麻黄碱指纹光谱的新方法。研究表明,在薄层色谱原位仅16 μg的样品,就可获得以上分子的主要特征谱带;并且光学异构体的光谱特征明显不同,在银溶胶微粒表面增强作用下去甲基麻黄碱、去甲基伪麻黄碱分子中与苯环相关的波数为1 004,1 605 cm-1振动获最大增强。从而阐明了应用TLC-SERS联用技术,可有效地对中草药主要化学成分中光学异构体进行高灵敏度分离与指纹鉴定。