完备

The details of proving the completeness theorem of formula system L~*, which is given by Prof. Wang, are reviewed, and the proving of strong completeness about L~* is analyzed and revised.

考察了形式系统*完备性的现有证明过程，并对其中所涉及的R0代数同构问题进行了研究，分析了关于*系统强完备性证明中的错误并给出了一个全新的修正证明。

It is in urgent need to build a traffic accident information spatial-database based on GIS. The contents of a perfect traffic accident information spatial-database should include three parts, i.e. spatial-database, influential factors database and database of metadata and data dictionary. Its important application value is described. The data in the database are organized with the idea of layer-organization in GIS. The structure of each table and correlation in-between these tables are designed in detail. T...

笔者分析了建立基于GIS的交通事故信息空间数据库的紧迫性；探讨了完备的交通事故信息数据库的内容构成，认为应包括空间数据库、影响因素数据库以及元数据和数据字典库三大部分；研讨了交通事故空间数据库的重要应用价值，进而采用GIS的分层组织思想对交通事故信息空间数据库中的数据进行组织；详细设计了各个数据表以及数据表间的关系，建立了包含交通事故对象、人、车、路以及环境等要素的交通事故空间数据库，为交通事故研究提供完备的数据支持。

On the other hand, Let M~n be an z-dimensional complete noncompactoriented submanifold with finite total curvature in an-dimensional simplyconnected space form F~ of constant curvature c. In this thesis, we provethat if M satisfies one of the following: n≥3, c=0 and integral from n=M H~n＜∞;n≥5, c=-1 and H＜1-2/n~(1/2); n≥3, c=1 and H is bounded, where Hdenotes the mean curvature of M. then the dimension of the space of L~2 harmonic1-forms on M is finite.

本文还证明：若具常曲率c的完备单连通空间型F~中具有有限全曲率的n维完备非紧可定向子流形M满足下面条件之一：n≥3，c=0且integral from n=M H~n＜∞；n≥5，c=-1且H＜1-2/n~(1/2；n≥3，c=1且H有界的，则M上L~2调和1-形式空间的维数是有限的，这里H为M的平均曲率。

In section 2 ,if one Lie colour algebra can be decomposed to direct sum of two ideas ,the same as the center.And when the center is zero , the derivation and the inner derivation can be also decomposed .Lie colour algebra L is complete if and only if its two ideas are both complete .

第二部分首先讨论了若李color代数L可以分解为两个理想的直和，则中心也可以分解为两个理想的直和，而且当中心为零时导子和内导子也有同样的理想直和分解，并且L完备的充要条件是两个理想都完备。

If lack of a child is going to disintegrate you, then have a child if you possibly can.

如果没有儿子使你不完备，那么，只要你能够，生个孩子罢，不过，做这种事要以获得一个完备的生活为目的。

Classic rough set theory based on equivalence relation takes complete system as object of study , and divides the region into some non-intersect equivalence class; But, in the real life, because of the errors in data measuring, understanding of data, or the restriction in data collection , it can make the decision-making system incomplete, that is, value of attribution of some objects is unknown, which restrains development of the theory to practical direction.

经典粗糙集理论以完备系统为研究对象，以等价关系为基础，通过等价关系将论域划分为互不相交的等价类；然而，在现实生活中，由于数据测量的误差，对数据理解或获取的限制等原因，使得在知识获取时往往面临的是不完备系统，即可能存在部分对象的一些属性值未知的情况，这就极大地限制了粗糙集理论向实用化方向发展。

Deng Xiao-ping gave overall consideration to the solution to the problem of"Agriculture, Countryside and Peasantry"and farsightedly put forwards many ideas and developed them into a systemic theory.

邓小平为了解决中国现实的"三农"问题，他不管是从思考解决该问题的深度、广度、重要性、紧迫性，还是就解决对策的科学性、全面性、完备性、长远性，都作了全盘考虑，提出了许多很有远见的思想，形成了完备的理论。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

The method used to check for completeness is based on a set of sufficient conditions proposed by Guttag and Horning We weakened the definition of the measure function and the conditions under which an extension function can be converted to constructors and generators.

完备性的验证方法是，以Guttag-Horning的一组完备性充分条件为基础，放宽其中测度函数的定义，以及扩充函数可以转为生成函数与构造函数的判别条件，拓广了充分条件的适用范围。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。