不完备

Yet we have to admit we cannot demonstrate its truth beyond all possible cavil and , further , we have to recognize that the communication which we have with other persons may be less complete than we imagine , but in spite of all this , we feel that it is more than a reasonable assumption - it is a practical certainty - that other persons exist and that we are able to communicate our thoughts to them

但是，我们必得承认，对此真实现象的证明不可能达到无懈可击，而且我们还需要进一步了解，我们跟他人的交谈，可能不像我们想象的那么完备，可是，尽管有这些顾虑，我们对于他人的存在，以及我们能够把自己的思想传达给他人之类的认定，觉得已经超出合乎常理的假定？？

Yet we have to admit we cannot demonstrate its truth beyond all possible cavil and, further, we have to recognize that the communication which we have with other persons may be less complete than we imagine, but in spite of all this, we feel that it is more than a reasonable assumption - it is a practical certainty - that other persons exist and that we are able to communicate our thoughts to them.

但是，我们必得承认，对此真实现象的证明不可能达到无懈可击，而且我们还需要进一步了解，我们跟他人的交谈，可能不像我们想象的那么完备，可是，尽管有这些顾虑，我们对于他人的存在，以及我们能够把自己的思想传达给他人之类的认定，觉得已经超出合乎常理的假定——它实际上是毫无疑问的事实。

By using generalized-weak commutativity mapping, the existence of common fixed point for this class of contractive type mappings is studied in complete metric space, a common fixed point theorem for contractive type mappings is obtained, which largely improve and extend the corresponding results in some references.

通过使用映象的广义弱交换条件，在完备度量空间中研究了更为广泛的一类压缩型映象的公共不动点的存在性，给出了一个新的公共不动点定理，从而在很大程度上改进和推广了现有文献中的一些结果。

Examples are given to illustrate the conditional entropy maybe increased, so Shannon's definition of information is not absolutely correct.

论文摘要：从新的角度指出了香农信息论和信息定义的局限性，指出了它没有考虑信息的可靠性，完备性等特点，指出条件熵的命名不恰当，香农的"条件熵"应该称为加权平均条件熵，并且举例证明了条件熵可能增加，进而香农信息定义中的不确定性的减少也不是绝对的。

Limitations of Shannon's information theory and information definition are analyzed from new angles. It is pointed out that they didn't consider the reliability, completeness and other characteristics of information, and the naming of conditional entropy is not proper. The correct naming of Shannon's "conditional entropy" should be weighted average conditional entropy. Examples are given to illustrate the conditional entropy maybe increased, so Shannon's definition of information is not absolutely correct.

从新的角度指出了香农信息论和信息定义的局限性，指出了它没有考虑信息的可靠性，完备性等特点，指出条件熵的命名不恰当，香农的"条件熵"应该称为加权平均条件熵，并且举例证明了条件熵可能增加，进而香农信息定义中的不确定性的减少也不是绝对的。

This paper proves that every probabilistic contraction map from E to E has a unique fixed point, where E is a complete and uniformly local semi-convex probabilistic normed spacer and obtains a fixed point theorem in metric linear spaces.

摘要证明了完备的一致局部半凸概率赋范空间上的概率压缩映象必有唯一不动点，得到了一类度量线性空间中关于伪范数族一致压缩映象的不动点定理。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性，〓数乘收敛级数的全程不变性，有基空间中的〓数乘收敛级数，无穷矩阵拓扑代数〓中的紧集，〓在不同拓扑下具有相同紧集的刻划，〓的弱序列完备性，Schur—矩阵的刻划，p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

Escher's Print Gallery is a complete but inconsistent strange loop,which puts the absent into the present.

艾舍尔的《画廊》是一幅完备但不一致的怪圈，它让不能同时在场者同时出场。

With this bosom, they walk free. Their self-nature, Buddha-nature, Qi, calmness and refinement are smooth to roam around the high mountains and they are not drowned when diving into the bottom of abyss and sea. It doesn't go against the grain for them to live in the city with the common people, so their lives are free.

有了这样的胸怀，因此修行完备的人，他们的自信、佛性、气、挫火、妙用等游乎崇山峻岭而无碍，潜至深渊海底而不溺，身处市井乡里，与平民百姓生活在一起也一样的自由自在，不会觉得格格不入，或感其低俗而不能适应。

Firstly, all the terms concerned are split up into basic term elements-termels, then eight aspects of quantificational indexes are given: errors-in-printing ratio,'inconsistent/uncanonical spelling' ratio,'unnecessary one-many/many-one correspondence' ratio,'inequivalent term' ratio,'discrepant interdisciplinary term' ratio,'unconformable-to-GB term' ratio,'incomplete/redundant term' ratio, and overall 'term worthy of revision/discussion' ratio.

其基本方法，一是从名词集中拆分出基础要素－名词元；二是提出八项量化指标：印误率，英语拼写不一致与不规范率，非必要的一多与多一对应率，英汉名词不对等率，与交叉学科名词有异率，与国标定名不符率，收词欠完备与冗余率及总体值得修榷率。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。