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《筹算》在中国的传布和发展 被引量:2
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作者 张爱英 邓可卉 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2007年第6期672-676,共5页
《筹算》是罗雅谷于1628年写成的一本关于西方的(纳贝尔)筹及其算法的数学著作.介绍了《筹算》在中国的流传和中国清代数学家对该算法的发展情况.
关键词 《筹算》 罗雅谷 传布 发展
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梅文鼎对方程解法问题的研究 被引量:3
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作者 潘亦宁 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第4期698-702,共5页
目的深入分析梅文鼎对方程解法问题的研究。方法历史分析和文献考证。结果梅文鼎在《筹算》中统一了传统数学中二项方程和一般方程的解法,所给方法与伟达一般方程数值解法相同,但属于独立发现;他在《少广拾遗》中对《同文算指》中高次... 目的深入分析梅文鼎对方程解法问题的研究。方法历史分析和文献考证。结果梅文鼎在《筹算》中统一了传统数学中二项方程和一般方程的解法,所给方法与伟达一般方程数值解法相同,但属于独立发现;他在《少广拾遗》中对《同文算指》中高次方程数值解法作了进一步的研究和推广。结论从某种意义上说,梅文鼎对方程解法问题的研究达到了明清以来士人追求的会通中西数学的目的。 展开更多
关键词 梅文鼎(1633-1721) 方程解法 《筹算》 《少广拾遗》
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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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