一类模式演化方程的全局吸引子及其维数估计

研究了一类源自模式演化问题的非线性发展方程所产生的动力系统,并考虑了其全局吸引子的存在性及维数估计问题.这类模式演化方程与化学反应和火焰燃烧有密切关系,因此具有重要的物理背景,而且因为它含有关于空间变量的四阶微分算子,还具有重要的理论价值.借助插值不等式以及sobolev嵌入定理,可以进行一系列精细的估计,最终根据一个经典的结果,证明了在维数不超过三维的空间中的有界集合上,系统的全局吸引子存在.进一步应用Sobolev-Lieb-Thirring不等式进行估计,可以得到全局吸引子的分形维数的界.     

基于遗传算法多目标非重叠路径诱导算法

依据遗传算法基本原理,提出一种多目标路径诱导算法. 染色体编码采用可变长度节点序列方法表示,以减少染色体编码长度. 设计了相应的多目标适应度函数. 该算法在给定多个目标约束条件下,能够解出多个近优路径. 实验结果证明,该算法能有效解决多目标非重叠路径选择问题,和目前已有其它方法相比,路径相似度更小.     

一个新的四阶迭代法和一族新的三阶迭代法

目的研究解非线性方程组中的算法问题,得到更高收敛阶的迭代法。方法采用离散C-方法,用数值例子与其他方法进行比较。结果得到一族三阶迭代法且参数取特定值时得到解非线性方程组的一个四阶迭代法。结论此迭代法对解非线性方程组有极其重要的意义。     

过渡区提取方法综述

图像分割是图像理论发展的瓶颈, 过渡区是指图像中介于目标和背景之间的 特殊区域,借助于过渡区的确定进行图像 分割。主要介绍了过渡区提取的两大类方法 ：基于梯度的方法和基于非梯度的方法, 并对提取效果以及存在的问题做了简要分析。     

伪Newton-B族算法对一般目标函数的收敛性

针对无约束优化问题,将Goldstein非精确线搜索技术引入伪Newton-B族算法.在假设目标函数f(x)二阶连续可微有下界,水平集L={x|f(x)≤f(x(1))}有界的条件下,证明该算法对一般目标函数的全局收敛性,得到一个条件更弱的结论.     

一个新的非单调自动确定信赖域半径的信赖域算法

将非单调线搜索技术与自动确定信赖域半径的方法相结合,提出了求解无约束优化问题的一个新的非单调自动确定信赖域半径的信赖域算法.在假设对任意x1∈Rn,水平集L(x1)={x|f(x)≤f(x1)}有界,且目标函数f(x)在水平集L(x1)上连续可微;矩阵序列{Bk}一致有界的条件下证明了本算法的全局收敛性.数值结果显示本算法是有效的.     

电性距离矢量预测有机污染物的生物富集因子

以电性距离矢量Mt表征165种非离子性有机物(NOC)的分子结构.利用多元回归方法建立了122种NOC的生物富集因子(lg BCF)与32个Mt的数学模型,其相关系数R为0.976.经逐步回归建立最佳四变量(M15,M17,M36,M91)模型,其R为0.960;并以Jackknife法检验,其LOO交互检验系数(q2)为0.915.这4个Mt参数揭示了影响NOC生物富集因子的主要因素,结果表明该模型具有良好的估算能力与鲁棒性.以111个NOC为训练集的生物富集模型作用于11个NOC的检验集,显示出良好的预测能力.     

Banach空间中有限族“三解合一”的混合临近点法

在一致凸一致光滑的Banach空间中引进了一个新的混合迭代序列,利用混合临近点法,找到了均衡问题与变分不等式及有限族半相对非扩张映射不动点问题的公共解(简称"三解合一"),并证明了该迭代序列强收敛到其公共解.所得结果改进和推广了已有的相应结果.     

Rapid growth and sterility of growth hormone gene transgenic triploid carp

Triploid carp (100%) with 150 (3n=150) chromosomes were obtained by crossing the females of improved tetraploid hybrids (♀, 4n=200) of red crucian carp (♀)×common carp (♂) with the males of diploid yellow river carp (♂, 2n=100). The crosses yielded transgenic triploid carp (positive triploid fish, 44.2% of the progeny) and non-transgenic triploid carp (negative triploid fish). Histological examination of the gonads of 24-month-old positive triploid fish suggested they were sterile and the fish were not able to produce mature gametes during the breeding season. Morphologically, both the positive and negative triploid fish were similar. They had a spindle-shaped, laterally compressed, steel grey body with two pairs of barbells. Most of the quantifiable traits of the triploid carp were intermediate between those of the two parents. The positive and negative triploid fish were raised in the same pond for 2 years. The mean body weight of the positive triploid fish was 2.3 times higher than the negative triploid fish. The weight of the largest positive triploid fish was 2.91 times higher than that of the largest negative triploid fish. Thus, we produced fast-growing transgenic triploid carp that have a reduced ecological risk because of their inability to mate and produce progeny.     

Exploring non-equilibrium statistical ensembles

Since Gibbs synthesized a general equilibrium statistical ensemble theory, generalizing the Gibbsian theory to non-equilibrium phenomena has been a dream for some theorists. However, the status of the theory for the non-equilibrium ensemble formalism is not as well established as the Gibbsian ensemble theory. In this work, we explore the formalism behind the non-equilibrium statistical ensemble theory based on the sub-dynamic kinetic equation originating from the Brussels-Austin school and develop...