小波软阈值径向基神经网络同时测定多组分混合物

建立了一种小波软阈值径向基函数神经网络 (STWRBFN)方法 ,同时定量分析了多组分混合物。结合小波软阈值法和径向基函数神经网络改进了回归质量。通过最佳化 ,选择了小波函数、小波分解水平(L)、阈值法类型和网络的伸展参数 (σ)。两个程序PSTWRBFN和PRBFN被设计执行STWRBFN和径向基函数神经网络 (RBFN)计算。实验结果表明STWRBFN是成功的且优于RBFN法 ,和经典的多变量线性回归(MLR)方法相比较 ,这两个方法更为有效     

应力和位移约束下桁架拓扑优化的有无复合体方法

按照独立连续拓扑变量的思想,将有无复合体模型由构造应力约束问题发展为应力与位移约束问题,用于桁架结构拓扑优化．基于该文提出的位移约束与拓扑变量关系的近似显式,建立了具有应力、位移约束下桁架结构拓扑优化的有无复合体模型,用序列二次规划算法求解．数值结果令人满意．这一工作表明独立连续拓扑变量的提出对于结构拓扑优化的研究是有价值的。     

Comparative Study of Variable Selection Using Genetic Algorithm with Various Types of Chromosomes

In this study,different methods of variable selection using the multilinear step-wise regression(MLR) and support vector regression(SVR) have been compared when the performance of genetic algorithms(GAs) using various types of chromosomes is used.The first method is a GA with binary chromosome(GA-BC) and the other is a GA with a fixed-length character chromosome(GA-FCC).The overall prediction accuracy for the training set by means of 7-fold cross-validation was tested.All the regression models were evaluated by the test set.The poor prediction for the test set illustrates that the forward stepwise regression(FSR) model is easier to overfit for the training set.The results using SVR methods showed that the over-fitting could be overcome.Further,the over-fitting would be easier for the GA-BC-SVR method because too many variables fleetly induced into the model.The final optimal model was obtained with good predictive ability(R2 = 0.885,S = 0.469,Rcv2 = 0.700,Scv = 0.757,Rex2 = 0.692,Sex = 0.675) using GA-FCC-SVR method.Our investigation indicates the variable selection method using GA-FCC is the most appropriate for MLR and SVR methods.     

修理设备和开关不完全可靠的温贮备可修系统的可靠性

最近,KUO和KE[Reliability Engineering and System Safety. 2016, 145: 74-82, 参考文献[11]在假定部件故障后的修理时间以及修理设备故障后的修理时间均为一般分布的情形下,运用补充变量技术分别推导出三种可修系统模型的稳态可用度。然而作者并没有研究系统的瞬时可用度,本文在文献[11]的基础上,运用补充变量法推导出文献[11]中模型一的瞬时可用度的表达式。最后,用一个数值算例对所得结果进行了模拟实现。     

利用单驱动变量实现一类混沌系统的线性和非线性广义同步

研究了一类混沌系统的线性和非线性的广义同步.对此类混沌系统,通过设计一个合适的响应系统,可以仅通过传递一个驱动变量实现系统的线性和非线性广义同步.给出了该响应系统设计的一般方法.由于只需传递一个信号,比已有方法具有更高的实用价值,理论推导和数值仿真进一步表明了该方法的有效性. 关键词： 混沌系统 广义同步 单驱动变量     

利用不变量本征算符求解二维耦合量子谐振子的能级间隔

目前不变量本征算符方法已成功地解决了某些量子系统哈密顿量能级问题.对于二维耦合量子谐振子,利用这一方法可以非常简捷有效地给出其能级信息,而不需要使其哈密顿量对角化.计算结果表明,不同耦合形式的二维耦合量子谐振子的能级间隔是不同的.     

正四面体外接球的几个不变量

本文给出了正四面体外接球面上点的三个性质，得到了三个不变量(定值)，并利用向量给予证明．     

一般变系数耗散长水波方程的精确解

By using the homogeneous balance principle(HBP),we derive a B■cklund trans- formation(BT)to the generalized dispersive long wave equation with variable coefficients. Based on the BT,we give many kinds of the exact solutions of the equatioh,such as,single solitary solutions,multi-soliton solutions and generalized exact solutions.     

STUDY ON A THREE DIMENSIONAL CHAOTIC SYSTEM

In this letter a new chaotic system is discussed. Some basic dynamic properties, such as symmetry, dissipation, continuous spectrum and chaotic behaviors of the butterfly attractor are studied. Furthermore, period-doubling bifurcations in a system with definite parameters has been investigated.