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。     

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...     

非小细胞肺癌外周血有核细胞miRNA表达特点研究

miRNA在非小细胞肺癌的发生发展中发挥重要作用,为了解非小细胞肺癌患者外周血有核细胞的miRNA表达特征及其作用,采用第二代高通量测序技术对7例非小细胞肺癌患者和7例对照的外周血有核细胞miRNA表达水平进行检测,比较非小细胞肺癌患者与对照的外周血有核细胞miRNA表达特征,分析两者miRNA表达水平差异情况,共鉴定出非小细胞肺癌患者与对照的外周血有核细胞中有显著表达差异的miRNA 209种,其中肺癌样本miRNA表达上调的有138种,表达下调的有71种.研究结果显示非小细胞肺癌患者与对照样本的外周血有核细胞中miRNA表达具有显著差异,其中部分已被证实参与肿瘤发生、发展等过程.     

原人参二醇和三醇的制备

将三七总皂苷与碱混合,在非溶剂的条件下,加热150℃进行常压碱解,再经硅柱层析纯化得到20(S)-原人参二醇(产率10%,纯度>90%)和20(S)-原人参三醇(产率18%,纯度>90%).     

非自治吊桥方程的一致吸引子

作者讨论了非自治吊桥面方程的长时间动力学行为.通过应用一些新的结果和能量估计技巧,获得了能量的一致衰退估计.当外力项f满足条件（C*）（而非平移紧）时,作者证明了一致吸引子在H20（Ω）×L2(Ω)上的存在性,此结果推广和改进了一些已有结果.