查询词典 atiyah singer index theorem

Based on the example of shahe reservoir, the text makes an analysis on circulation, management and environment and social economy development condition of the surrounding ecosystem. Then, the author carries on inquisition, data analysis and summary and makes calculation and demonstration of the safe stability of the dam ,and discusses the risking obviation and reinforcing technique. Finally, based on the existing research of sustainable development, experts" opinions and Mathematical Statistics analysis, the author brought forward an indication system suitable for reservoirs" sustainable development This system is made up of 4 first class indexes, 13 second class indexes, 38 foundational indexes. The 4 first class indexes are the dam safety evaluating index, the management index of reservoirs, the water ecosystem system stability index, the reservoirs construction effect index. The 13 second class indexes are the construction quality evaluating index, the dam running and management evaluating index, the flood control standard recheck index, the structure safety evaluating index, the anti- earthquake evaluating index, seepage safety evaluation index sign, the metal structure safety evaluating index, the engineering facility index, the management index, the water ecosystem system stability index, engineering effect index, the economic development index, the society development index.

本文以沙河水库为例，对其运行、管理及周围生态环境和社会经济发展状况进行调查，并将调查资料进行分析、归纳、总结；然后对水库大坝的安全稳定情况作出了简要的计算和论证，并讨论了水库的主要除险加固技术；最后在总结现有可持续发展研究的基础上，征集专家的意见，进行数理统计分析，提出了由4个一级指标、13个二级指标、38个基层指标组成的一套适合该水库可持续发展的指标体系。4个一级指标分别为：水库大坝运行安全综合评价指标、水库管理指标、水资源生态系统稳定性指标、水库建设效应指标；13个二级指标分别为：工程质量评价指标、大坝运行管理评价指标、防洪标准复核指标、结构安全评价指标、抗震安全评价指标、渗流安全评价指标、金属结构安全评价指标、工程设施指标、管理指标、水资源生态系统稳定性指标、工程效应指标、经济发展指标、社会发展指标。

The individual density was 4.77 inds. per gram dry soil. The results indicated that the number of soil nematode fluctuated significantly with season, the number of soil nematode in autumn is significantly more than that in summer and in spring. Shannon-Wiener index, Pielou index, Margalef index and Trophic diversity index were used in analyzing the diversity of nematode community, ranking Cc＞Pm＞Clc, while Simpson index ranking Pm＞Clc＞Cc. The value of f/b, MI index, PPI index, MMI index, MI2-5 index, SI index and EI index were used in analyzing the characteristics of the functional structure of the nematode communities, ranking Cc＞Pm＞Clc, while PPI/MI value ranking Clc＞Pm＞Cc. It showed that the Clc was disturbed significantly.

研究结果表明，土壤线虫数量存在明显的季节波动，秋季明显高于夏季和春季；土壤线虫群落多样性指数、均匀度指数、丰富度指数和营养类群指数大小依次为阔叶林、针叶林和混交林，而优势度指数却表现为：针叶林＞混交林＞阔叶林；土壤线虫群落营养类群f/b值、MI 指数、PPI 指数、MMI指数、MI2-5指数、SI指数和EI指数均表现为：阔叶林＞针叶林＞混交林，而PPI/MI指数则表现为：混交林＞针叶林＞阔叶林，表明混交林受干扰明显；土壤理化特征与线虫数量、属数、生态指数间也存在明显相关关系。

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中，给出了孤立奇点的定义和分类、函数零点与极点的关系，从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用，包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

19" As the market rebounded, the strongest index for the real estate index, which is a small number of non-adherence to the market index hit another new low and take the lead in "9.19" high index; followed by small and medium-sized plate composite index, manufacturing Industry index, the pharmaceutical industry index, as well as Zero index, which had been cut,"9.19 high rebound in the region.

9.19&随着市场反弹，对房地产指数，这是一种非少数坚持市场指数再创新低，并带头在&9.19&高指标；其次是最强的指数中小企业大型板综合指数，制造业指数，制药行业指数，以及零指数，已被切断，&9.19高回弹在该地区。

Differential intermediate value theorem and the Taylor formula In this paper, leads to Fermat's theorem Rolle Mean Value Theorem, and then constructing auxiliary function of the Lagrange mean value theorem and Cauchy's Mean Value Theorem to prove that.

微分中值定理和泰勒公式本文通过费马定理引出罗尔中值定理，再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。

Then the spatial index is constructed which includes not only the external approximate expression but also interior approximate expression of spatial object and is extended from tranditional index only with external approximate expression. The index structures of MR-tree and MRD-tree based on multi-approximate expression are set up with the prototype index of R-tree, and the relevant algorithms about the index of insertion, deletion and search are provided. Then, the efficiencies of constructing index based on the multi-approximate expression and window range query are analysised and compared. In addition, the several algorithms and efficiency of soving the maximum enclosed circle and maximum enclosed rectangle are discussed and analyzed during constructing index based on multi-approximate expression.

首先，论文讨论了空间数据的特点、空间数据库的关键技术以及空间对象间的拓扑、距离以及方向关系，分析了空间对象的外部和内部近似表达，然后将传统索引中只利用空间对象的外部近似扩展为既有空间对象的外部近似又有空间对象的内部近似，即以空间对象的多重近似来构建索引，并以R-tree为索引原型构建基于多重近似的MR-tree和MRD-tree索引结构，然后给出了相关索引的插入、删除及查找算法，并通过实验比较分析了基于多重近似索引与基于外部近似索引的构建效率及窗口范围查询效率。

The plant species diversity of 9 associations in the Oxytropis coerulea community of mount Wutai was studied by using richness index, Simpson index, Shannon-Weiner index and evenness index, respectively. The results indicated that: The quantity of populations and species in the community have obvious unevenness character, which leads to variation of λ. index and H' index among different associations. R1 and H' increase firstly, and then decline slowly with the increase of elevation, which reach peak value at 2100 while E1 index waves steadily with elevation change.

应用丰富度指数(R1)、Simpson指数、Shannon-Weiner指数和均匀度指数(E1)研究了9个群丛的植物种多样性，结果表明：种群数量及其种群内个体数量具有明显不均匀性，进而导致λ指数和H'指数在不同群丛间的变化，R1、H'指数随海拔高度增加表现为先上升而后缓慢下降，在海拔2100m处达峰值，E1指数则随海拔变化呈现不稳定波动。

And the direction query efficiency based on multi-approximate index is compared with that based on taditional external approximation index. 2 The algorithms of nearest neighbor and reverse nearest neighbor about point, line and ploygen based on multi-approximate index are proposed after the virous methods of distance measure are discussed in detail. And the query efficiency of NN and RNN based on multi-approximate index is compared with that based on taditional external approximation index. 3 The basic concept of semi-join and the strategy of distance-direction semi-join are introduced. And the model of distance relationship, direction relationship and the bounding for spatial object are discussed. Then the method is presented about how to implement the query of distance-direction semi-join, and the efficiency of the algorithm based on multi-approximate index is compared with that based on taditional external approximation index.

即：1在方向关系矩阵模型、开域方向模型基础上，讨论了基于多重近似索引下的定性与定量方向检索方法，并通过实验对基于多重近似索引与外部近似索引下的方向检索效率进行了对比分析；2详细讨论了各种距离度量方法，提出了基于多重近似索引下的点、线、面的最邻近查询和反最邻近查询算法，并通过实验对基于多重近似索引与外部近似索引下的最邻近查询和反最邻近查询效率进行比较分析；3介绍了半连接的基本概念，探讨了距离关系、方向关系以及空间对象数量的约束模型，给出了基于多重近似索引下的距离方向半连接实现方法，并通过实验对基于多重近似索引与外部近似索引下的距离方向半连接的效率进行了比较分析。

Taking landscape pattern fractal model and Landsat TM/ETM images in 1995 and 2000 as the basic data,the spatialtemporal database of land use in Chongqing City was established; and using fractal model of landscape pattern,fractal dimension and stability index of landscape pattern,landscape diversity index,landscape apartness index,landscape fragmentation index,landscape evenness index and landscape dominance index were obtained.

采用1995和2000年Landsat TM/ETM影像为基础数据，提取并建立土地利用空间数据库，应用景观空间格局分形模型，获取景观类型的分形维数和稳定性指数以及景观多样性指数、分离度指数、破碎度指数、均匀度指数和优势度等指标。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。