多重的

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

in order to establish a rapid, sensitive and specific detection method for identification of four kinds of food-borne pathogenic bacteria including salmonellla spp, listeria monocytogenes, staphylococcus aureus and bacillus cereus by using multiplex pcr, according to invasion protein a geneof salmonellla spp, transcriptional regulatory protein gene of listeria monocytogenes, autolysin gene ofstaphylococcus aureus and gyrase b subunit gene of bacillus cereus, four pairs of specific primers were designed for multiplex pcr amplification.

小 摘要：为建立一种利用多重pcr技术检测和鉴定沙门氏菌、单核细胞增生李斯特菌、金黄色葡萄球菌和蜡样芽孢杆菌的方法，根据沙门氏菌侵袭力蛋白a基因、单核细胞增生李斯特菌蛋白转录调控基因、金黄色葡萄球菌自溶素基因、蜡样芽孢杆菌的促旋酶b亚单位基因设计引物，进行多重pcr扩增，并对多重pcr反应体系进行优化。

Finally, the calculation process of CGR graphic's multi-fractal analysis was studied. the scope of choice of the weight factor and the scale invariance range were discussed, the weight factor can be chosen as ? 15≤q≤50; multi-fractal spectrum and generalized dimension of different sequence were calculated, multi-fractal spectrum and generalized dimension in different scales of different sequences were compared, it was found that multi-fractal spectrum and generalized dimension can show different levels of fractal characteristics of CGR graphics of DNA sequence, which can distinguish more complex structure of sequences.

最后，研究了DNA序列CGR图形的多重分形的计算过程，讨论了权重因子及满足标度不变性的范围选择等问题，得到结论：对CGR图形进行多重分形时权重因子可以选择为-15≤q≤50；计算了不同序列的多重分形谱和广义维数，比较了不同序列不同尺度的多重分形谱和广义维数，发现多重分形谱和广义维数能够表现DNA序列CGR图形的不同层次的分形特征，能够区分更复杂的序列结构。

However, the multi- identities of artists have still been doubt by many people, and the forepassed concept of occupation has always blocked to understand the artist's multi-identities. Artists' intervene in socialty often be regarded as unmindful of their own works or doing other occupations. The identity of the artists in the "rebuilding in art "activity is one aspect of the identities' multiple. But The activity itself has answered to the suspicions, that is ,as for the society, it is good or not to have this kind of activity.

不过，这种艺术家身份的多重性仍然受到众多人的怀疑，职业焦虑一直阻碍着对艺术家多重身份的理解，艺术家介入社会以后，往往会认为是不务正业，或者是做了其他职业的人做的事，&以艺术重建家园&的艺术家身份的这种多重化还只是身份多重化的一个侧面，但这个活动已经对这样的置疑作了回应，即，对社会而言，我们有这样的活动好呢还是没有这样的活动好？

Chapter 8: We discuss the acceleration of multigrid by Krylov subspace approaches, and recognize the reason for slow convergence of algebraic multigrid methods is that error reduction is significantly less efficient for some very specific error components which may cause a few eigenvalues of the algebraic multigrid iteration matrix to be considerably closer to 1 than all the rest. However, the eigenvectors belonging to the few isolated eigenvalues can be expected to be typically captured after only a few conjugate gradient iterations, which accelerate algebraic multigrid algorithms. Theoretical analysis and numerical results of some practical problems show the iterant recombination accelerates algebraic multigrid convergence.

第八章：先介绍用Krylov子空间迭代法加速一般多重网格方法收敛的基本框架，然后紧紧抓住引起代数多重网格方法收敛减慢的根本原因往往是误差减小对几个特别的误差分量不明显，这导致代数多重网格方法的迭代矩阵的几个特征值接近于1，而共轭梯度方法则能比较典型地捕捉属于孤立特征值的特征向量，从而推导出有效的共轭梯度加速算法和程序实现，不仅从一些具体的实际应用例子的数值结果去验证迭代复合加速收敛的效果，而且还从理论上分析了预处理共轭梯度法加速代数多重网格法收敛的机理。

The mtrD expression had no significant change in highlevel multiple resistant group or intermediated resistant group. Conclusion The mtrF expression is higher in highlevel multiple resistant group than in other two groups, and mtrF gene may play an important role in mediating highlevel multiple resistance in Neisseria gonorrhoeae.

mtrF基因在高水平多重耐药组中表达均高于敏感组和低中等水平多重耐药组，表明其在介导淋球菌产生高水平多重耐药过程中可能发挥着十分重要的作用。

In this article, a new multigrid method for solving p-Laplacian equations is proposed based on the existing multigrid method: FAS multigrid method and Cascade multigrid method. This method is a combination of Cascade method and a new method named "back" method.

本文主要研究现有的几种求解p-Laplace方程的多重网格方法：FAS多重网格方法和Cascade多重网格法，并在此基础上提出了一种新的求解p-Laplace方程的多重网格方法：Cascade-back方法。

As for the study of isospin in intermediate energy HICs, we've investigated how bothstength and density dependence of symmetry potential affect many measurableobservables, such as the yield, phase-space, and isospin distributions of fragments, as wellas the correlations between Intermediate-Mass-Fragment multiplicity 〓 andCharged-Particle multiplicity 〓 Light-Charged-Particle multiplicity 〓 andNeutron multiplicity 〓. The aim is to find sensitive observables specifically for strengthand density dependence of SP.

在中能重离子碰撞的同位旋研究方面，分别研究了对称势的强度和其密度依赖形式对中能重离子核反应各类碎片产物产额、相空间、及其同位旋的分布，中等质量碎片多重数与带电粒子多重数、轻带电粒子多重数、中子多重数的关联等多种实验观测量的影响，以获取对称势中该两方面的信息，尤其着重于研究如何分别获取有关该两方面的信息的途径。

Significantly different scalings of the mean IMF multiplicities with neutron,charged-particle,light charged-particle multiplicities,and Zbound are observed for the two reactions.

观察到两个反应系统中，中等质量碎片多重性、中子多重性、荷电粒子多重性与轻荷电粒子多重性之间的关联存在着明显的差别。

Sighficantly different scalings of the mean IMF multiplicties with neutron, charged-particle, light charged-particle multiplicities, and Z_bound are observed for the two reactions.

观察到两个反应系统中，中等质量碎片多重性、中子多重性、荷电粒子多重性与轻荷电粒子多重性之间的关联存在着明显的差别。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐