In this paper we study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations.The principal tool is an everaging techniqe which enables one to establish...In this paper we study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations.The principal tool is an everaging techniqe which enables one to establish oscillation in terms of related functional differential inequallities.展开更多
We experimentally study the generation of a partially coherent non-diffractive beam by focusing a partially coherent vortex beam with an axieon. The investigation results show that when the partially coherent vortex b...We experimentally study the generation of a partially coherent non-diffractive beam by focusing a partially coherent vortex beam with an axieon. The investigation results show that when the partially coherent vortex beam is focused by the axicon, the beam is transferred into a partially coherent higher-order non-diffractive beam. In the non-diffractive zone, the transverse intensity distribution of the partially coherent higher-order non-diffractive beam is invariant during propagation. In addition, the range of the non-diffractive zone is related to the coherence of the partially coherent vortex beam. The poorer the coherence of the partially coherent vortex beam, the shorter the range of the non-diffractive zone.展开更多
间歇过程的产品与现代人的生活息息相关,而建立可靠的模型是保障间歇过程安全运行的基础。针对间歇过程的数据特点,引入一种新的广义线性回归模型——高阶偏最小二乘(higher order partial least squares,HOPLS)。它与传统的间歇过程建...间歇过程的产品与现代人的生活息息相关,而建立可靠的模型是保障间歇过程安全运行的基础。针对间歇过程的数据特点,引入一种新的广义线性回归模型——高阶偏最小二乘(higher order partial least squares,HOPLS)。它与传统的间歇过程建模方法具有本质的不同,三维数据(批次×变量×时间)不需要展开成二维矩阵,而是直接被分解成一组正交的Tucker矩阵之和。通过高阶奇异值分解(high order singular value decomposition,HOSVD),张量变换和高阶正交迭代(higher order orthogonal iteration,HOOI)找到能同时包含自变量和因变量最大信息的潜向量,与此同时得到对应的负载向量。对于新观测值,通过模型就可以实现对因变量的预测。最后利用PenSim2.0,对青霉素发酵过程进行仿真研究,验证了该间歇过程建模方法的有效性。展开更多
文摘In this paper we study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations.The principal tool is an everaging techniqe which enables one to establish oscillation in terms of related functional differential inequallities.
基金Project supported by the National Natural Science Foundation of China (Grant No.60977068)the Foundations of the State Key Laboratory for Transient Optical and Photonic Technology of Chinese Academy of Sciences (Grant No.SKL ST200912)
文摘We experimentally study the generation of a partially coherent non-diffractive beam by focusing a partially coherent vortex beam with an axieon. The investigation results show that when the partially coherent vortex beam is focused by the axicon, the beam is transferred into a partially coherent higher-order non-diffractive beam. In the non-diffractive zone, the transverse intensity distribution of the partially coherent higher-order non-diffractive beam is invariant during propagation. In addition, the range of the non-diffractive zone is related to the coherence of the partially coherent vortex beam. The poorer the coherence of the partially coherent vortex beam, the shorter the range of the non-diffractive zone.
文摘间歇过程的产品与现代人的生活息息相关,而建立可靠的模型是保障间歇过程安全运行的基础。针对间歇过程的数据特点,引入一种新的广义线性回归模型——高阶偏最小二乘(higher order partial least squares,HOPLS)。它与传统的间歇过程建模方法具有本质的不同,三维数据(批次×变量×时间)不需要展开成二维矩阵,而是直接被分解成一组正交的Tucker矩阵之和。通过高阶奇异值分解(high order singular value decomposition,HOSVD),张量变换和高阶正交迭代(higher order orthogonal iteration,HOOI)找到能同时包含自变量和因变量最大信息的潜向量,与此同时得到对应的负载向量。对于新观测值,通过模型就可以实现对因变量的预测。最后利用PenSim2.0,对青霉素发酵过程进行仿真研究,验证了该间歇过程建模方法的有效性。
