明了

This paper researches linear maps preserving orthogonality,obtains the linear maps preserving othrogonality,it is either a rank -declining or rank -keeping map or a map with nilpotent element in its codomain.

利用分块成向量的方法证明了MnMn(F为域F上所有n×n矩阵构成的乘法半群上的n×n拟正交矩阵组至多含有n个矩阵，利用方程组的解的理论证明了Mn中与给定矩阵A构成两两拟正交矩阵组的矩阵个数不超过n-Rank+1，从而得到Mn上保持拟正交性的线性映射φ要么是降秩的或者保秩的映射，要么φ的值域中含有幂零元。

Through constructing a counterexample it is showed that there is a non distributive complete lattice in which a component of some element with finite width is not finite wide....

通过构造反例证明了在非分配的完备格中，有限宽元素的成分不必是有限宽的；还证明了完备格间的同构映射能保持颗粒表示性质和颗粒性质，通过反例证明了同构映射的条件不能减弱，从而解决了以上两上问题。

I understand this deceit and tangle of cross-purposes," he thought,"but now am I to tell them all I understand?

我明了这种虚伪和杂乱无章，"他想道，"可是我怎样才能把我明了的一切讲给他们听呢？

When ATRP of styrene was investigated with 1-phenylethyl bromide/benzyl a,a-dibromide mixture as initiator, the GPC chromatogram shows two elution peaks and the molecular weighs of the peaks are approximately in a 2/1 ratio. It suggests that benzyl dibromide is a difunctional initiator of ATRP of styrene. The analysis of end group using 1H-NMR also proves the result above.

采用1-苯基溴乙烷／α，α-二溴化苄混合引发剂进行苯乙烯的ATRP反应时，所得聚苯乙烯的GPC谱图为双峰，分子量相差一倍，初步证明了α，α-二溴化苄引发苯乙烯ATRP反应时是双官能引发剂，并用~1H-NMR对聚合物结构进行分析，进一步证明了α，α-二溴化苄引发苯乙烯ATRP时是双端同时增长的。

On the way, By giving the example as the names of the thing (such as silk silks etc.) with color and the basic colorific phrase associated with it, this text demonstrated a fact that the basic colorific phrases were evolved from the names of the thing that include the color, under the function of the come from the method that is borrowing the thing assumes the color, and expatiated the condition of the basic colorific phrase in Chinese language. Take the synthesize colorific phrase implied compliment or dispraiser as an example, explained the imagism of Chinese thought method how to influence the synthesize the colorific phrase, and do it by taking the food, metals and nature scenery makes the ratio at other Chinese thought method that is take shape to analogy as too. It expatiated the influence that the Han ethnologic culture result in the acceptation of the colorific phrase, pass on analyze the diverse the diverse metaphor meanings of colorific phrase and the opposite phenomenon of acceptation among them of, and the colorific etyma metaphor of "yellow","vermilion","purple","blue","green" and "white", under the premise that distinct the different between themetaphor meanings of colorific phrase and colorific etyma metaphor.

由此本文通过例举有色彩含义的事物专有名称及相应的基本色彩词，分析了基本色彩词是在"借物呈色"思维方式的影响下，由有色彩含义的事物专有名称演变而来的事实，并阐述了汉语基本色彩词的状况；以含有褒扬、贬抑语义的合成色彩词为例说明了汉民族"意向性"思维方式对合成色彩词的影响，以取食物、金属、自然界景物作比的合成色彩词为例说明了汉民族"取象类比"思维方式对合成色彩词的影响；在区分色彩词隐喻意义与色彩语素隐喻意义的基础上，通过分析色彩词的多元隐喻意义及其中的语义对立现象，并分析"黄"、"朱"、"紫"、"青"、"绿"、"白"等色彩语素的隐喻意义，阐述了汉民族文化对色彩词语义的影响。

To the problem of unbiasedness of L 1 estimation,basing on uniqueness of solution,Zhou Shijiang proved it according to dual theorem of linear programming; and Wang Zhizhong proved it according to probability statistics theorem by using the method from special to general; also,basing on error distribution theorem and probability statistics theorem,the authors proved it.

对于L1 估计的无偏性问题，周世健基于解法的惟一性，根据线性规划的对偶理论，证明了L1 估计的无偏性[5] ；王志忠根据数理统计理论，采用由特殊情形推广到一般情形的方法，证明了L1 估计的无偏性[6] 。

This thesis discusses expert system and fuzzy control technology; dissertates emphatically the apply of intelligent fuzzy control method inthe control of aluminium electrolytic cell; illuminates in detailed the idea of design with realization of the systems software and hardware; at the same time, with the technology characteristic of the aluminium electrolytic cell, the thesis discusses the methods of anti-interference in control system.

本文就专家系统、模糊控制等智能控制技术进行了探讨；并着重论述了智能模糊控制方法在铝电解槽工艺控制中的应用；详细说明了控制系统软、硬件的设计思想及其实现；同时，针对铝电解槽的工艺特点，说明了控制系统所采取的抗干扰措施。

In 2000, F. LUCA proved that Fermat number are anti-sociable numbers, and in 2005, M. H. LE proved all powers of 2 are anti-sociable numbers. We have used the method of M. H. LE to obtain some new results of the anti-sociable numbers. For every integer n containing prime divisors that are 1 mod 4, let p mod 4 be an arbitrary prime divisor of n. There is at least one anti-sociable number in n^2, p^2n^2, p^4n^2, and p^6n^2. Therefore we can prove that anti-sociable numbers have positive density in perfect square numbers. We also give a method to find the exact anti-sociable numbers.

LUCA证明了Fermat数都是孤立数；2005年，乐茂华教授证明了2的方幂都是孤立数，用乐茂华教授的方法给出孤立数的一些新的结果：对于任意含有4w+1型素因子的正整数n，设p为n的任意一个4w+1型素因子，则在n^2，p^2n^2，p^4n^2，p^6n^2里至少有一个是孤立数，因此可以证明孤立数在完全平方数里有正密度，另外也给出求解确定孤立数的方法。

Database, GIS and. Then, the design of the survey database in detail: Requirementanalysis, and function design. Then the impletion of the surveying spatial database inclass view.

首先介绍了基础地理管理系统的需求状况，分析测绘基础地理信息管理系统需要达到的目标；接着说明的是空间数据库的设计，详细说明了数据库设计、功能设计；然后详细说明了数据库实现的类视图。

For an armed unit or bigger formation which is engaged in a concentrated operation, the principle to be applied is one of centralization in its internal relationship of command, since the situation is clear to the higher command, but the moment this unit or formation breaks up for dispersed action, the principle of centralization in general matters and of decentralization in details should be applied, for then the specific situation cannot be clear to the higher command.

如果是一个集中行动的部队或兵团，其内部指挥关系，适用集中指挥的原则，因为情况是明了的；但是如果该部队或该兵团一旦分散行动，便又适用一般集中、具体分散的原则，因为具体的情况无从明了。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。