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奥帕尔在等价级数理论上的贡献 被引量:1
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作者 王全来 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2019年第2期177-183,共7页
基于原始文献,利用历史分析和比较的方法,首次研究了奥帕尔在等价级数理论方面的工作及影响.分析了奥帕尔的工作背景,指出图兰的工作是其直接基础;研究了他在泰勒级数及法布尔级数的等价级数理论,深入分析了其数学思想和方法.研究结果表... 基于原始文献,利用历史分析和比较的方法,首次研究了奥帕尔在等价级数理论方面的工作及影响.分析了奥帕尔的工作背景,指出图兰的工作是其直接基础;研究了他在泰勒级数及法布尔级数的等价级数理论,深入分析了其数学思想和方法.研究结果表明,奥帕尔对等价级数理论的发展做出了重要贡献,其工作对其他数学家有重要影响. 展开更多
关键词 奥帕尔 等价级数 共形变换
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正项级数收敛性的一种快速判别方法
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作者 李海霞 聂东明 《九江学院学报(自然科学版)》 CAS 2017年第3期54-56,共3页
文章在定义等价级数概念的基础之上,结合极限计算中常用的"抓大头"和等价无穷小代换的方法,通过找到级数的等价级数给出了快速判断正项级数收敛性的一种方法,并举例说明了其应用。
关键词 抓大头 等价无穷小 等价级数 正项级数 收敛 发散
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Water inrush evaluation of coal seam floor by integrating the water inrush coefficient and the information of water abundance 被引量:3
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作者 Shi Longqing Qiu Mei +2 位作者 Wei Wenxue Xu Dongjing Han Jin 《International Journal of Mining Science and Technology》 SCIE EI 2014年第5期677-681,共5页
The method of singular coefficient of water inrush to achieve safety mining has limitation and one sidedness. Aiming at the problem above, large amounts of data about water inrush were collected. Then the data, includ... The method of singular coefficient of water inrush to achieve safety mining has limitation and one sidedness. Aiming at the problem above, large amounts of data about water inrush were collected. Then the data, including the maximum water inrush, water inrush coefficient and water abundance in aquifers of working face, were processed by the statistical analysis. The analysis results indicate that both water inrush coefficient and water abundance in aquifers should be taken into consideration when evaluating the danger of water inrush from coal seam floor. The prediction model of safe-mining evaluation grade was built by using the support vector machine, and the result shows that this model has high classification accuracy. A feasible classification system of water-inrush safety evaluation can be got by using the data visualization method which makes the implicit support vector machine models explicit. 展开更多
关键词 Floor water inrush Water inrush coefficient Water abundance Units-inflow Support vector machine
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