数

A symbol or mark used to represent a number .

用数的符号及数的值来表示数的一种方法。

The matrix operator norm and unitarily invariant norm are two important normclasses.

0引言矩阵的算子范数和矩阵的西不变范数是两大类不同的重要范数类。

It is proved by means of constructing the new norm of the vector and the norm of matrix that the Runge-Kutta method is H-stable if|R | and A is nonsingular.

我们构造了一个新的向量范数和矩阵范数，利用该范数证明了如下定理，如果|R|和矩阵A非奇异，则Runge-Kutta方法是H-稳定的。

Rotation matrix s representation with the unit quaternion has no singular points, so the unit quaternion-based estimation method is of more practical importance, and the algorithm in this paper does not need iteration computation compared to those unit quaternion-based method proposed by Horn(1987) and Su, et al.

单位四元数表示旋转矩阵时不存在奇异点，故基于单位四元数的运动估计方法具有更大的实用价值，而本文算法无需Horn(1987)和Su等人(1989)提出的单位四元数方法的迭代运算。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究，将地下厂房区划分为五个岩体结构统计均质区，应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征，并以此为基础对岩体宏观力学特性进行了深入研究：(1)首次通过在结构面网络模拟计算结果的基础上，应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比，结果表明以结构面网络模拟结果为基础，应用模糊信息优化技术进行岩体质量评价能够取得很好的效果，解决了工程岩体质量的定量评价问题；(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究，建立了结构面分布的分形维数和岩体变形指标间的相关关系，并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算，解决了工程岩体宏观变形参数的评价问题；(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法，得出了岩体在不同方向上的强度参数，结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系，各个岩体结构均质区具有不同的强度参数；同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明，按连通率加权平均计算法在考虑合理的折减系数情况下，可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计，通过以上研究解决了工程岩体抗剪强度参数的评价问题；(4)通过结构面网络分形维数的研究，应用分形损伤耦合分析方法，研究了厂房区岩体的损伤特征，并首次引入"损伤度"的概念，建立了应用最大主损伤评价岩体质量的指标体系。

Net mesh size is an obvious factors, but this does not refer to the specific lines per inch, but with the increase in the number, the diameter of the wire.

网目数是一个显而易见的成分，但这外不是指每英寸的抽象线数，而是指随着线数的补充，线的直径减小。

Scores of somatization, sensitivity of interpersonal relation, depression, anxiety, hostility, fear, monomania, psychiatric and total scores, total average scores, positive numbers, and positive average numbers of the experimental group were higher than those of the control group（P＜0.01）. Correlation analysis showed that age was positively correlated with the mood of depression and negative copying（P＜0.05）, educational level was negatively correlated with the mood of depression and anxiety, and serum albumin was negatively correlated with negative copying（P＜0.05）. Conclusion: The mood of depression and anxiety is an obvious symptom in nondialysis patients with chronic kidney disease.

结果：慢性肾脏疾病组焦虑情绪、抑郁情绪和消极应对显著高于对照组（P＜0.01）；人格类型稳定性两组相比差异有统计学意义（P＜0.01）；两组心理健康状况相比，躯体化、人际关系敏感、抑郁、焦虑、敌对、恐惧、偏执、精神病性及总分、总均分、阳性数、阳性均数差异均有统计学意义（P＜0.01）；心理指标与被试变量的相关性分析显示年龄与抑郁、消极应对呈正相关（P＜0.05）；受教育程度与焦虑、抑郁呈负相关（P＜0.05）；血清白蛋白与消极应对呈负相关（P＜0.05）；而性别、职业、肾功能、血红蛋白与焦虑抑郁情绪、应对方式及心理健康状况总分、总均分、阳性数无相关性。

Scores of omatization, sensitivity of interpersonal relation, depression, anxiety, hostility, fear, monomania, psychiatric and total scores, total average scores, positive numbers, positive average numbers of the experimental group were higher than those of the control group（P＜0.01）. Correlation analysis showed that age was positively correlated with the mood of depression and negative copying（P＜0.05）, educational level was negatively correlated with the mood of depression and anxiety, and serum albumin was negatively correlated with negative copying（P＜0.05）. Conclusion: The mood of depression and anxiety is an obvious symptom in nondialysis patients with chronic kidney disease.

结果：慢性肾脏疾病组焦虑情绪、抑郁情绪和消极应对显著高于对照组（P＜0.01）；人格类型稳定性两组相比差异有统计学意义（P＜0.01）；两组心理健康状况相比，躯体化、人际关系敏感、抑郁、焦虑、敌对、恐惧、偏执、精神病性及总分、总均分、阳性数、阳性均数差异均有统计学意义（P＜0.01）；心理指标与被试变量的相关性分析显示年龄与抑郁、消极应对呈正相关（P＜0.05）；受教育程度与焦虑、抑郁呈负相关（P＜0.05）；血清白蛋白与消极应对呈负相关（P＜0.05）；而性别、职业、肾功能、血红蛋白与焦虑抑郁情绪、应对方式及心理健康状况总分、总均分、阳性数无相关性。

P×P and P were two major non-Bayesian algorithms. 6 Less than 25% of the participants used frequency. In those who got other results except P , much more people used probability. Experiment 2 had a randomized multigroup posttest design. There was only one factor named implied condition which had five levels: not imply, imply P, imply addition, imply division and imply all. The results showed that: 1 All the implied conditions significantly improved the participants' performance. When under the condition of implying division, the participants derived the best results. 2 31.9% of the participants got correct answer, 73% of who used frequency to rewrite the information. 3 78% of the participants could apply one or several of the four concepts: probability of "not the event", multiplication rule, addition rule and condition probability.

结果表明：1 被试的估计受问题内容的影响，权威型问题情境容易使被试高估，非权威型问题情境使被试的高估现象大大减少；数据结构和提问形式对被试估计不产生影响。2 有近5%的被试能正确估计P，其中 73%使用频数对信息进行再表征。3 贝叶斯推理中各分步骤的困难程度由低到高分别是：乘法、P、加法、除法。4 有50%的被试能运用对立事件概率、概率乘法、概率加法、条件概率这四个概念中的一种或者几种。5 使用最多的两种非贝叶斯算法是P×P和P。6 不到25%的被试使用频数；求得除P以外各类结果的被试中，使用概率的人数远多于使用频数的。

Course contents include the analysis of variance and covariance, multivariate analysis of variance and covariance, principle component, factor analysis, cluster analysis, discriminant analysis, canonical correlation analysis, multidimensional scaling, discrete choice model, and LISREL.

其主要内容包括变异数与共变异数分析、多变量变异数分析、主成份分析、因素分析、集群分析、区别分析、规则相关分析、多元尺度法、二元质量选择模型、及 LISREL 模型。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。