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The paper is organized as follows:In chapter 1 we give a brief review of approximation theory of operators,and present the corresponding research background.

本文由四章组成，其内容如下：第一章首先回顾了算子逼近论的发展及本文所做研究课题的进展情况，并简要介绍了本文的主要内容。第二章主要讨论了q-Bernstein算子对各种函数的逼近性质。

To make our approach to be practical, we also discuss the asymptotic expansion of the operator in chapter 6 which is based on the non-abelian Stokes theorem.

但是由于格点上的算符是path-order变量的乘积，并且其构成非常复杂，按照正常的方式展开实际上是不可能的，为了使我们的算法实际可行，本文接着讨论了格点上算符的渐近展开问题，并且给出了基于non-abelStokes定理的方法，这种方法克服了以前各种办法的缺点，并且简单可行，适用于任意的Wilson算符。

A trapezoidal fuzzy ordered weighted averaging operator and its application procedure are proposed, and a method based on the TFOWA operator for aggregating information in decision making is presented.

把有序加权平均算子推广到所给定的数据信息均为梯形模糊数形式的不确定环境中，提出了一种梯形模糊有序加权平均算子，给出了其在应用过程中的具体步骤，并提出了一种相应的集结决策信息的方法。

Some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are intriduced. Based on these operational laws, some aggregation operators, including interval-valued intuitionistic fuzzy ordered weighted arithmetic averaging operator and interval-valued intuitionistic fuzzy hybrid aggregation operator, are proposed.

论文摘要：对区间直觉模糊信息的集结算子进行了进一步研究，引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数，并基于这些运算法则，提出了一些新算子：区间直觉模糊数有序加权算术平均算子和区间直觉模糊数混合集结算子。

This paper establishes a series of equations on IFS inclusion degrees by using fuzzy implication operators and set cardinal numbers,reveals the relationship between inclusion degrees and similarity measures and proposes an inclusion degree based IFS similarity measure.The instance indicates that the proposed method can not only resolve the problem,and that it provide a new approach for the research on theory of IFS similarity measurement as well.

借助模糊蕴涵算子和集合基数，建立了IFS包含度的一系列具体公式，揭示了IFS包含度与相似度的关系，提出了一种基于包含度的IFS相似度量方法，并以具体算例表明该方法不仅可以解决中部分存在的问题，而且为研究IFS相似度量理论开辟一个新的途径。

In the first chapter, we study a sufficent condition for a operator is compact on Bergman space of the unit ball.

本文在第一章中就复超球上Bergman空间上的算子为紧的充分条件进行了研究，在附加了一定的条件，给出了算子为紧的充分条件。

Firstly, we combine the theories of monotone operator and maximal monotone operator's Yosida approaching with domain method to prove the solution's existence of single input-output equation in R n in the similar economical backgrounds in present articles and then gain the solution's continuity by exterior approaching method,at last we give the responding economical meaning about the solution's existence and continuity.

就R n空间中消耗为单调单值型的投入产出方程，在现有文献类似的经济背景之下，利用单调算子的理论以及极大单调算子的Yosida逼近结合邻域逼近法给出了投入产出方程的解的存在性的证明，然后利用外部逼近法结合方程截断技巧证明了投入产出方程的解的连续性，最后给出了相对应于存在性和连续性的经济解释。

We propose two new aggregation operators called extended uncertain linguistic aggregation operator and interval linguistic aggregation operator, and then develop an EULA operator-based linguistic approach and an ILA operator-based linguistic approach, respectively, to multiple attribute decision making in uncertain linguistic setting.

介绍了不确定语言变量的运算法则，给出了不确定语言变量之间两两比较的可能度公式，提出了2种新的数据信息集成算子拓展的不确定语言集成算子和区间语言集成算子，并且分别提出了基於EULA算子和基於ILA算子的不确定语言环境下的多属性决策方法。

This paper is based upon XiShan Colliery Parent Company .The data of DongQu Mine pit ventilation resistance mensuration is combined. And system theory, graph theory, ventilation network technology and computer technology are utilized. According to the reality of coalmine, we think that graph and database is incorporate in mine ventilation system. So based on this, ventilation system standard graph is founded, the tool of ventilation graph to draw is made, the ventilation network calculation is realized, the outcome of the ventilation network calculation is seen on the screen, and opaquing and inquiring of the road parameters and so on. In addition to mine ventilation drawing-database visual management system is developed.

本文基于西山煤矿总公司东曲矿〖东曲矿矿井通风网络计算机管理系统〗科研项目，结合东曲矿矿井通风阻力测定，运用系统理论、图论、通风网络技术及计算机技术，针对煤矿实际，将矿井通风系统中图形和数据库贯穿为一体，创建了通风系统标准图库并编制了通风图形绘制工具，实现了风网解算和解算结果图形显示及巷道参数的修改、查询等功能，开发了矿井通风图形数据可视化管理系统。

Finally the totalizers contact with the PC by RS-485 bus to form a distributed measuring network. The spindle flowmeter and the especially designed totalizer highly improve the precision of measurement, and the measuring system made up of them is very easy to use.

采用纺锤体流量计作为测量前端，成功的解决了传统节流装置测量精度低、压力损失大等缺陷，配以专用的积算仪系统，不仅避免了通用变送器与通用积算仪之间多次A/D、D/A转换所造成的精度损失，提高了测量精度，还简化了系统结构，使仪表的安装更加方便，具有很高的实用价值。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。