Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of dou...Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.展开更多
环氧树脂是古建筑木构件修复加固的常用材料,为了科学合理地使用环氧树脂,基于多准则决策理论建立古建筑木构件修复加固用环氧树脂性能评价模型。参考古建筑木构件修复加固工程对环氧树脂的要求与相关标准确定环氧树脂的性能指标集合,...环氧树脂是古建筑木构件修复加固的常用材料,为了科学合理地使用环氧树脂,基于多准则决策理论建立古建筑木构件修复加固用环氧树脂性能评价模型。参考古建筑木构件修复加固工程对环氧树脂的要求与相关标准确定环氧树脂的性能指标集合,采用熵权法与层次分析法分别得到各性能指标客观权重与主观权重,综合主客观权重对各性能指标赋权,使用优序法与逼近理想解排序法(technique for order preference similar to an ideal solution,TOPSIS法)结合各性能指标复合权重构建两种综合性能评价模型。通过验证试验对十组环氧树脂进行综合性能评价,结果表明复合加权TOPSIS综合性能评价模型更全面客观,更适用于古建筑木构件修复加固用环氧树脂,可作为选择和使用环氧树脂的参考方法。展开更多
文摘Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.
文摘环氧树脂是古建筑木构件修复加固的常用材料,为了科学合理地使用环氧树脂,基于多准则决策理论建立古建筑木构件修复加固用环氧树脂性能评价模型。参考古建筑木构件修复加固工程对环氧树脂的要求与相关标准确定环氧树脂的性能指标集合,采用熵权法与层次分析法分别得到各性能指标客观权重与主观权重,综合主客观权重对各性能指标赋权,使用优序法与逼近理想解排序法(technique for order preference similar to an ideal solution,TOPSIS法)结合各性能指标复合权重构建两种综合性能评价模型。通过验证试验对十组环氧树脂进行综合性能评价,结果表明复合加权TOPSIS综合性能评价模型更全面客观,更适用于古建筑木构件修复加固用环氧树脂,可作为选择和使用环氧树脂的参考方法。