目的通过一组单线性梯度洗脱实验获取线性溶剂强度模型的参数值,为色谱图的预测提供所必须的参数值。方法首先,在实验中固定流动相组成的起始和结束值,通过改变梯度洗脱的时间,从而改变梯度的斜率(B)。测定溶质在这些梯度条件下的保留时...目的通过一组单线性梯度洗脱实验获取线性溶剂强度模型的参数值,为色谱图的预测提供所必须的参数值。方法首先,在实验中固定流动相组成的起始和结束值,通过改变梯度洗脱的时间,从而改变梯度的斜率(B)。测定溶质在这些梯度条件下的保留时间,计算其流出色谱柱时所对应的流动相组成(φR)。然后,将描述φR与B之间关系的数学公式对实验数据进行非线性拟合,从而获取线性溶剂强度模型的参数值。拟合基于Levenberg-Marquardt算法,通过Excel中的Visual Basic for Applications(VBA)语言编程实现。结果计算机程序的可靠性通过实验进行验证。以12种芳环化合物为分离的对象,以C18柱为固定相,含1%乙酸的甲醇-水溶液为流动相,应用所编写的程序对单线性梯度洗脱实验数据进行处理,获取溶剂强度模型的参数值。然后,根据所得到的参数值预测多线性梯度洗脱条件下的色谱图,得到的理论色谱图与实验色谱图吻合。结论所建立的方法可快速准确地获取线性溶剂强度模型的参数值,具有良好的实用价值。展开更多
针对高级量测体系中的海量数据问题,首次引入压缩感知以克服传统数据压缩方法的不足,深入探索了基于压缩感知的高级量测体系(advanced metering infrastructure based on compressed sensing,AMI-CS)。首先,在分析各类数据特点的基础上...针对高级量测体系中的海量数据问题,首次引入压缩感知以克服传统数据压缩方法的不足,深入探索了基于压缩感知的高级量测体系(advanced metering infrastructure based on compressed sensing,AMI-CS)。首先,在分析各类数据特点的基础上,提出了基于时间和基于空间的2种基本模型及其选取原则;然后,设计模型中的关键要素,提出分类K-SVD稀疏基和适用于时间模型的优选重构算法,并设置二进稀疏测量方式、通用重构算法及适用采集参数;基于此,形成了AMI-CS具体构建方案。实验结果表明,所提出的AMI-CS方案关键要素均具合理性,优于CS传统要素且较传统压缩提升了抗丢包性,通过合理选择压缩比,数据重构信噪比在58 dB以上、重构误差在0.24%以下,满足AMI要求。展开更多
Extracting nonlinear governing equations from noisy data is a central challenge in the analysis of complicated nonlinear behaviors.Despite researchers follow the sparse identification nonlinear dynamics algorithm(SIND...Extracting nonlinear governing equations from noisy data is a central challenge in the analysis of complicated nonlinear behaviors.Despite researchers follow the sparse identification nonlinear dynamics algorithm(SINDy)rule to restore nonlinear equations,there also exist obstacles.One is the excessive dependence on empirical parameters,which increases the difficulty of data pre-processing.Another one is the coexistence of multiple coefficient vectors,which causes the optimal solution to be drowned in multiple solutions.The third one is the composition of basic function,which is exclusively applicable to specific equations.In this article,a local sparse screening identification algorithm(LSSI)is proposed to identify nonlinear systems.First,we present the k-neighbor parameter to replace all empirical parameters in data filtering.Second,we combine the mean error screening method with the SINDy algorithm to select the optimal one from multiple solutions.Third,the time variable t is introduced to expand the scope of the SINDy algorithm.Finally,the LSSI algorithm is applied to recover a classic ODE and a bi-stable energy harvester system.The results show that the new algorithm improves the ability of noise immunity and optimal parameters identification provides a desired foundation for nonlinear analyses.展开更多
If we use Littlewood-Paley decomposition, there is no pseudo-orthogonality for Ho¨rmander symbol operators OpS m 0 , 0 , which is different to the case S m ρ,δ （0 ≤δ 〈 ρ≤ 1）. In this paper, we use a spec...If we use Littlewood-Paley decomposition, there is no pseudo-orthogonality for Ho¨rmander symbol operators OpS m 0 , 0 , which is different to the case S m ρ,δ （0 ≤δ 〈 ρ≤ 1）. In this paper, we use a special numerical algorithm based on wavelets to study the L p continuity of non infinite smooth operators OpS m 0 , 0 ; in fact, we apply first special wavelets to symbol to get special basic operators, then we regroup all the special basic operators at given scale and prove that such scale operator’s continuity decreases very fast, we sum such scale operators and a symbol operator can be approached by very good compact operators. By correlation of basic operators, we get very exact pseudo-orthogonality and also L 2 → L 2 continuity for scale operators. By considering the influence region of scale operator, we get H 1 （= F 0 , 2 1 ） → L 1 continuity and L ∞→ BMO continuity. By interpolation theorem, we get also L p （= F 0 , 2 p ） → L p continuity for 1 〈 p 〈 ∞ . Our results are sharp for F 0 , 2 p → L p continuity when 1 ≤ p ≤ 2, that is to say, we find out the exact order of derivations for which the symbols can ensure the resulting operators to be bounded on these spaces.展开更多
In the era of big data,the ways people work,live and think have changed dramatically,and the social governance system is also being restructured.Achieving intelligent social governance has now become a national strate...In the era of big data,the ways people work,live and think have changed dramatically,and the social governance system is also being restructured.Achieving intelligent social governance has now become a national strategy.The application of big data technology to counterterrorism efforts has become a powerful weapon for all countries.However,due to the uncertainty,difficulty of interpretation and potential risk of discrimination in big data technology and algorithm models,basic human rights,freedom and even ethics are likely to be impacted and challenged.As a result,there is an urgent need to prioritize basic human rights and regulate the application of big data for counter terrorism purposes.The legislation and law enforcement regarding the use of big data to counter terrorism must be subject to constitutional and other legal reviews,so as to strike a balance between safeguarding national security and protecting basic human rights.展开更多
为了提高RV减速器承载能力,对摆线针轮副基本参数进行了优化.在RV减速器体积标准化前提下,将基本参数偏心距和针齿半径作为设计变量,建立以提高承载能力为目标的优化模型;针对承载能力与基本参数关系无法用简单解析式表达的问题,通过对...为了提高RV减速器承载能力,对摆线针轮副基本参数进行了优化.在RV减速器体积标准化前提下,将基本参数偏心距和针齿半径作为设计变量,建立以提高承载能力为目标的优化模型;针对承载能力与基本参数关系无法用简单解析式表达的问题,通过对遗传算法适应度函数的改进,达到快速搜寻的目的.选择RV-20E减速器进行实例分析,数值仿真结果表明优化后其承载能力提升了11.15%;试制出优化后的摆线针轮副,完成了整机装配,并进行了承载能力实验.结果显示:优化后RV减速器在额定负载时传动效率提高了2.3%,温度和噪声分别降低了0.7℃和1 d B,且在重载时表现更佳.展开更多
文摘目的通过一组单线性梯度洗脱实验获取线性溶剂强度模型的参数值,为色谱图的预测提供所必须的参数值。方法首先,在实验中固定流动相组成的起始和结束值,通过改变梯度洗脱的时间,从而改变梯度的斜率(B)。测定溶质在这些梯度条件下的保留时间,计算其流出色谱柱时所对应的流动相组成(φR)。然后,将描述φR与B之间关系的数学公式对实验数据进行非线性拟合,从而获取线性溶剂强度模型的参数值。拟合基于Levenberg-Marquardt算法,通过Excel中的Visual Basic for Applications(VBA)语言编程实现。结果计算机程序的可靠性通过实验进行验证。以12种芳环化合物为分离的对象,以C18柱为固定相,含1%乙酸的甲醇-水溶液为流动相,应用所编写的程序对单线性梯度洗脱实验数据进行处理,获取溶剂强度模型的参数值。然后,根据所得到的参数值预测多线性梯度洗脱条件下的色谱图,得到的理论色谱图与实验色谱图吻合。结论所建立的方法可快速准确地获取线性溶剂强度模型的参数值,具有良好的实用价值。
文摘针对高级量测体系中的海量数据问题,首次引入压缩感知以克服传统数据压缩方法的不足,深入探索了基于压缩感知的高级量测体系(advanced metering infrastructure based on compressed sensing,AMI-CS)。首先,在分析各类数据特点的基础上,提出了基于时间和基于空间的2种基本模型及其选取原则;然后,设计模型中的关键要素,提出分类K-SVD稀疏基和适用于时间模型的优选重构算法,并设置二进稀疏测量方式、通用重构算法及适用采集参数;基于此,形成了AMI-CS具体构建方案。实验结果表明,所提出的AMI-CS方案关键要素均具合理性,优于CS传统要素且较传统压缩提升了抗丢包性,通过合理选择压缩比,数据重构信噪比在58 dB以上、重构误差在0.24%以下,满足AMI要求。
基金The work was supported by the National Science Foundation of China(grant nos.11772218 and 11872044)China-UK NSFC-RS Joint Project(grant nos.11911530177 in China and IE181496 in the UK)Tianjin Research Program of Application Foundation and Advanced Technology(grant no.17JCYBJC18900).
文摘Extracting nonlinear governing equations from noisy data is a central challenge in the analysis of complicated nonlinear behaviors.Despite researchers follow the sparse identification nonlinear dynamics algorithm(SINDy)rule to restore nonlinear equations,there also exist obstacles.One is the excessive dependence on empirical parameters,which increases the difficulty of data pre-processing.Another one is the coexistence of multiple coefficient vectors,which causes the optimal solution to be drowned in multiple solutions.The third one is the composition of basic function,which is exclusively applicable to specific equations.In this article,a local sparse screening identification algorithm(LSSI)is proposed to identify nonlinear systems.First,we present the k-neighbor parameter to replace all empirical parameters in data filtering.Second,we combine the mean error screening method with the SINDy algorithm to select the optimal one from multiple solutions.Third,the time variable t is introduced to expand the scope of the SINDy algorithm.Finally,the LSSI algorithm is applied to recover a classic ODE and a bi-stable energy harvester system.The results show that the new algorithm improves the ability of noise immunity and optimal parameters identification provides a desired foundation for nonlinear analyses.
基金Supported by the Doctoral programme foundation of National Education Ministry of China
文摘If we use Littlewood-Paley decomposition, there is no pseudo-orthogonality for Ho¨rmander symbol operators OpS m 0 , 0 , which is different to the case S m ρ,δ （0 ≤δ 〈 ρ≤ 1）. In this paper, we use a special numerical algorithm based on wavelets to study the L p continuity of non infinite smooth operators OpS m 0 , 0 ; in fact, we apply first special wavelets to symbol to get special basic operators, then we regroup all the special basic operators at given scale and prove that such scale operator’s continuity decreases very fast, we sum such scale operators and a symbol operator can be approached by very good compact operators. By correlation of basic operators, we get very exact pseudo-orthogonality and also L 2 → L 2 continuity for scale operators. By considering the influence region of scale operator, we get H 1 （= F 0 , 2 1 ） → L 1 continuity and L ∞→ BMO continuity. By interpolation theorem, we get also L p （= F 0 , 2 p ） → L p continuity for 1 〈 p 〈 ∞ . Our results are sharp for F 0 , 2 p → L p continuity when 1 ≤ p ≤ 2, that is to say, we find out the exact order of derivations for which the symbols can ensure the resulting operators to be bounded on these spaces.
文摘In the era of big data,the ways people work,live and think have changed dramatically,and the social governance system is also being restructured.Achieving intelligent social governance has now become a national strategy.The application of big data technology to counterterrorism efforts has become a powerful weapon for all countries.However,due to the uncertainty,difficulty of interpretation and potential risk of discrimination in big data technology and algorithm models,basic human rights,freedom and even ethics are likely to be impacted and challenged.As a result,there is an urgent need to prioritize basic human rights and regulate the application of big data for counter terrorism purposes.The legislation and law enforcement regarding the use of big data to counter terrorism must be subject to constitutional and other legal reviews,so as to strike a balance between safeguarding national security and protecting basic human rights.
文摘为了提高RV减速器承载能力,对摆线针轮副基本参数进行了优化.在RV减速器体积标准化前提下,将基本参数偏心距和针齿半径作为设计变量,建立以提高承载能力为目标的优化模型;针对承载能力与基本参数关系无法用简单解析式表达的问题,通过对遗传算法适应度函数的改进,达到快速搜寻的目的.选择RV-20E减速器进行实例分析,数值仿真结果表明优化后其承载能力提升了11.15%;试制出优化后的摆线针轮副,完成了整机装配,并进行了承载能力实验.结果显示:优化后RV减速器在额定负载时传动效率提高了2.3%,温度和噪声分别降低了0.7℃和1 d B,且在重载时表现更佳.
