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《同文算指》的译述及其意义 被引量:5
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作者 邹振环 《上海翻译》 CSSCI 北大核心 1990年第2期45-45,共1页
近代著名学者梁启超曾在《中国近三百年学术史》一书中指出:“明末有一场大公案,为中国学术史上应该大书特书者,曰欧州历算学之输入”。而在算学输入方面,《同文算指》是一部影响甚大的译著。
关键词 同文算指 李之藻 中国学术史 历算学 《几何原本》 正负术 中国古代数学 盈不足 筹算法 西方数学
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我国古代对分数的研究
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作者 陈竹如 《东华理工大学学报(社会科学版)》 1988年第3期38-40,共3页
我国古代早对分数有深入研究,我国对分数的研究成果是我国对世界数学的一项伟大贡献,约公元前四世纪《管子·地员》中提到分数算法,“宫”音管长“三分而损之以一”便得着“征”(Zhi)音管的长度,(那时的宫、商、角、征、羽五音相当1... 我国古代早对分数有深入研究,我国对分数的研究成果是我国对世界数学的一项伟大贡献,约公元前四世纪《管子·地员》中提到分数算法,“宫”音管长“三分而损之以一”便得着“征”(Zhi)音管的长度,(那时的宫、商、角、征、羽五音相当1、2、3、5、6),这说明我国在公元前四世纪以前就知道分数的应用。我国古代很重视历法的研究。 展开更多
关键词 管子·地员 十进小数 实如而一 筹算法 《九章算术》 微数 盈不足 秦九韶 数理精蕴 更相减损
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Recovery and grade prediction of pilot plant flotation column concentrate by a hybrid neural genetic algorithm 被引量:6
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作者 F. Nakhaei M.R. Mosavi A. Sam 《International Journal of Mining Science and Technology》 SCIE EI 2013年第1期69-77,共9页
Today flotation column has become an acceptable means of froth flotation for a fairly broad range of applications, in particular the cleaning of sulfides. Even after having been used for several years in mineral proce... Today flotation column has become an acceptable means of froth flotation for a fairly broad range of applications, in particular the cleaning of sulfides. Even after having been used for several years in mineral processing plants, the full potential of the flotation column process is still not fully exploited. There is no prediction of process performance for the complete use of available control capabilities. The on-line estimation of grade usually requires a significant amount of work in maintenance and calibration of on-stream analyzers, in order to maintain good accuracy and high availability. These difficulties and the high cost of investment and maintenance of these devices have encouraged the approach of prediction of metal grade and recovery. In this paper, a new approach has been proposed for metallurgical performance prediction in flotation columns using Artificial Neural Network (ANN). Despite of the wide range of applications and flexibility of NNs, there is still no general framework or procedure through which the appropriate network for a specific task can be designed. Design and structural optimization of NNs is still strongly dependent upon the designer's experience. To mitigate this problem, a new method for the auto-design of NNs was used, based on Genetic Algorithm (GA). The new proposed method was evaluated by a case study in pilot plant flotation column at Sarcheshmeh copper plant. The chemical reagents dosage, froth height, air, wash water flow rates, gas holdup, Cu grade in the rougher feed, flotation column feed, column tail and final concentrate streams were used to the simulation by GANN. In this work, multi-layer NNs with Back Propagation (BP) algorithm with 8-17-10-2 and 8- 13-6-2 arrangements have been applied to predict the Cu and Mo grades and recoveries, respectively. The correlation coefficient (R) values for the testing sets for Cu and Mo grades were 0.93, 0.94 and for their recoveries were 0.93, 0.92, respectively. The results discussed in this paper indicate that the proposed model can be used to predict the Cu and Mo grades and recoveries with a reasonable error. 展开更多
关键词 Artificial neural network Genetic algorithm Flotation column Grade Recovery Prediction
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A High-Order Dikin-Type Algorithm for P*(k)-LCPs in a Wide Neighborhood of the Central Path
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作者 GONG Xiao Yu ZHANG Ming Wang 《Journal of Mathematical Research and Exposition》 CSCD 2009年第1期76-84,共9页
Based on the idea of Dikin-type primal-dual affine scaling method for linear program-ming,we describe a high-order Dikin-type algorithm for P_*(κ)-matrix linear complementarity problem in a wide neighborhood of the c... Based on the idea of Dikin-type primal-dual affine scaling method for linear program-ming,we describe a high-order Dikin-type algorithm for P_*(κ)-matrix linear complementarity problem in a wide neighborhood of the central path,and its polynomial-time complexity bound is given.Finally,two numerical experiments are provided to show the effectiveness of the proposed algorithms. 展开更多
关键词 complementarity problem high-order affine scaling polynomial-time complexity interior-point algorithm P* (κ)-matrix.
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