atiyah singer index theorem

atiyah singer index theorem的基本解释

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阿蒂亚辛格指数定理

与atiyah singer index theorem相关的网络例句 [注：此内容来源于网络，仅供参考]

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。

与atiyah singer index theorem相关的网络解释 [注：此内容来源于网络，仅供参考]

atiyah singer index theorem：阿蒂亚 辛格指数定理

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atiyah singer index theorem：阿奇娅 辛谔指数定理

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