查询词典 bound norm

Next, after analyzing the nets′relationship in three layer channel routing, setting up the objective function toward channel area minimization, we propose some new terms, for example, the withstand bound columns, valid complete cover net sets, TRACK valid routing, etc.. The conceptions and natures of static bound of nets, dynamic bound of unrouted net set and the lower bound value of the horizontal tracks are discussed; and the methods of calculating static bound, dynamic bound and lower bound are put forward.

文章接着分析了线网在三层通道区布线中的相互关系，为了以完成布线所需通道区面积最小化为目标解决三层通道区布线问题，提出了柱界列、完全有效覆盖线网集、TRACK有效布线等一些新的概念，讨论了三层通道区布线问题中线网定界、未布线网集动界和水平通道数Lower-Bound等概念和它们的性质，给出了定界、动界、Lower-Bound值的计算方法。

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

After morals norm becomes independent social consciousness appearance, on the other hand together political norm, law norm, religious norm keep both and on the other hand again permeate politics, law, religion of composition, with this correspond, west of morals education, on the other hand independently come out from the social consciousness education, educate with political, legal system education, religion education mutually proceed together, permeate on the other hand and inevitably politics, law, religious educational composition.

道德规范成为独立的社会意识形态后，一方面同政治规范、法律规范、宗教规范并存，另一方面又渗透着政治、法律、宗教的成分，与此相应，西方的道德教育，一方面从社会意识教育中独立出来，与政治教育、法制教育、宗教教育相互并行，另一方面又不可避免地渗透着政治、法律、宗教教育的成分。

In chapter three, firstly the author analyzes the conditions of norm, which includes being together, common sense and authority; secondly he analyzes the function and form of norm. After that is the relation between intercourse and norm, the trait of modern norm and a series of disorder in modern intercourse that includes science and technology losing the care on man, value points being in crisis and the problem of countries' legitimacy.

第三章首先分析了规范得以产生的三个条件，即共在、共识和权威，并对规范的功能和表现形式进行了阐述，随之论证现代交往中交往与规范的关系和现代规范的特征，认为现代交往中存在着科学技术失去人文关怀、人文价值观失落、国家合法性危机等失范现象。

Moreover, we get the sufficient and necessary condition of in Orlicz spaces.Chapter 3 Extreme points and strongly extreme points in Orlicz spaces equipped with the generalized Orlicz norm: In this paper, the conceptions of the generalized Orlicz norm and the generalized Luxemburg norm are introduced, and the criteria of extreme points and strongly extreme points of Orlicz function spaces equipped with the generalized Orlicz norm are obtained. Moreover, criteria of space strictly convex and mid-point locally uniform convex are given.

第三章 赋广义Orlicz范数的Orlicz函数空间的端点和强端点：本章在Orlicz空间推广了Orlicz范数和Luxemburg范数，引入了广义Orlicz范数和广义Luxemburg范数的定义，并给出了赋广义Orlicz范数的Orlicz函数空间的端点和强端点的判据，进而得到了赋广义Orlicz范数的Orlicz函数空间严格凸和中点局部一致凸的充要条件。

The results show that 42.86% topsoil samples are polluted by Cadmium, soil synthesis pollution index is moderate, Cadmium pollution degree of topsoil correlate with the environment of sampling sites. The results also show that exchangeable Cd, carbonate-bound Cd, organic-bound Cd and residual Cd are found in all soil samples except for Fe-Mn oxide-bound Cd. Furthermore, the concentration of exchangeable Cd and carbonate-bound Cd, both which have high biological validity, is high. Humus has a certain correlation with exchangeable Cd, organic-bound Cd and residual Cd, and has no obvious correlation with other chemical speciations. Any chemical speciation of Cd has no obvious correlation with pH and total Fe of soil samples. Cadmium in topsoil can be eluviated by acid solution, the quantity of Cadmium eluviated by redistilled water is little. With the rise of pH of eluviating solution, eluviated Cadmium quantity decrease. For the same soil sample, the lower pH value of eluviating solution is, the more fast the Cadmium is eluviated, and the more thequantity of Cadmium is eluviated.

研究结果表明：成都市表生土壤样中有42.86%受镉污染，镉综合污染水平达中度污染，成都市表生土壤镉污染程度与采样点周围环境表现出一定的相关性；除铁锰氧化物结合态镉在部分土壤样中未检出外，所有土壤样均含有可交换态镉、碳酸盐结合态镉、有机结合态镉、残留态镉，且生物有效性较高的可交换态镉和碳酸盐结合态镉占总镉量比例较高；成都市表生土壤中的腐殖质与可交换态镉、有机结合态镉、残留态镉有一定相关性，与碳酸盐结合态镉、铁锰氧化物结合态镉相关性不显著；各形态镉与土壤pH值和全铁的相关性均不显著；土壤中的镉可被酸溶液淋出，重蒸馏水淋出镉量十分微小；随着淋滤液pH值的升高，土壤样的镉淋出量下降，且0～5小时时段的镉淋出量占镉总淋出量比例下降，5～30小时时段的镉淋出量占镉总淋出量的比例上升，对同一土壤样而言，酸度大的淋滤液比酸度小的淋滤液淋出镉速度更快，淋出镉量更大。

Chapter four begins with a typological analysis on the relation between freedom and norm in the background of intercourse, which shows there are three types of viewpoints, i. e. departmentalism of freedom, departmentalism of norm and the theory of consolidation between freedom and norm.

第四章首先对交往中自由与规范关系的理论进行了类型学的分析，认为存在着自由本位论、规范本位论和自由与规范统一论三种观点，并论述了现代交往中自由与规范相统一的基础、含义、原则和限度。

The aims of this paper are to derive the optimal error estimates of eigenpairs, i.e. the optimal error estimate of eigenvalues, and the new error estimates of velocity, pressure including the L~2 - norm and energy norm, respectively, in which the L~2 - norm estimate of velocity on anisotropic meshes has not ever been seen in the precious literature.

对于Stokes特征值问题本文不仅得到了征值对的最优误差估计即：特征值和流速压力的零模和能量模以及压力的能量模最优误差估计，其中在各向异性网格下对此问题的零模估计尚未见报道。

In chapter three,we consider first order generalized difference scheme for linear Sobolev equation in two dimensions.Lp and W1,p-norm error estimates of the Ritz-Volterra projection u-Vhu and W1,p-norm super error estimate of uh-Vhu are made,so we obtain Lp and W1,p-norm error estimatesOf u-uh.

第三章考虑二维线性Sobolev方程的一阶广义差分格式，建立 Ritz－Volterra投影模误差估计和的模超收敛估计，从而得到的最优模误差估计。

In this paper, we first show that the matrix2-norm is the only norm which is not only an operator norm but also a unitarily invariantnorm.

在［l，p.94］中曾提到，向量作为矩阵看待，归范化的西不变范数只有2一范数，本文将这一结论推广成，一个矩阵范数如果它既是算子范数又是规范化的西不变

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。