Given a real finite-dimensional or infinite-dimensional Hilbert space H with a Jordan product, the second-order cone linear complementarity problem(SOCLCP)is considered. Some conditions are investigated, for which the...Given a real finite-dimensional or infinite-dimensional Hilbert space H with a Jordan product, the second-order cone linear complementarity problem(SOCLCP)is considered. Some conditions are investigated, for which the SOCLCP is feasible and solvable for any element q?H. The solution set of a monotone SOCLCP is also characterized. It is shown that the second-order cone and Jordan product are interconnected.展开更多
We present calculations and improvement inspired by the work of Lorenzo Zaninetti, published in 2020, it concerns a problem whose origin dates back 1911 with so called Maxwell-Jüttner distribution these lies on t...We present calculations and improvement inspired by the work of Lorenzo Zaninetti, published in 2020, it concerns a problem whose origin dates back 1911 with so called Maxwell-Jüttner distribution these lies on the Lorentz factor , with . This work uses powerful modern software for a reconstruction of Zaninetti work, which computes with special functions, these are included in the Mathematica software, as by instance Bessel and Meijer G-functions ready to manipulate. A progress is made, it is possible to perform an integral that is not computed in Zaninetti paper. This author connects the correct relativistic probability law: the Maxwell-Jüttner to the synchrotron emissivity with a magnetic B field, this work generalize these results, using the linear Stark effect and deals with an electric field E.展开更多
Given a real(finite-dimensional or infinite-dimensional) Hilbert space H with a Jordan product,we consider the Lorentz cone linear complementarity problem,denoted by LCP(T,Ω,q),where T is a continuous linear operator...Given a real(finite-dimensional or infinite-dimensional) Hilbert space H with a Jordan product,we consider the Lorentz cone linear complementarity problem,denoted by LCP(T,Ω,q),where T is a continuous linear operator on H,ΩH is a Lorentz cone,and q ∈ H.We investigate some conditions for which the problem concerned has a unique solution for all q ∈ H(i.e.,T has the GUS-property).Several sufficient conditions and several necessary conditions are given.In particular,we provide two suficient and necessary conditions of T having the GUS-property.Our approach is based on properties of the Jordan product and the technique from functional analysis,which is different from the pioneer works given by Gowda and Sznajder(2007) in the case of finite-dimensional spaces.展开更多
Given a real （finite-dimensional or infinite-dimensional） Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some inter...Given a real （finite-dimensional or infinite-dimensional） Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some interconnections among these concepts. In particular, we discuss the ω-unique and ω-P properties for Lyapunov-like transformations on H. The properties of the Jordan product and the Lorentz cone in the Hilbert space play important roles in our analysis.展开更多
针对变光照环境下给皮带撕裂视觉检测过程造成的识别干扰,提出了一种基于洛伦兹信息测度(Lorentz Information Measure,LIM)分块的改进Ostu分割算法的结构光视觉检测方法。首先将红色线性激光投射到皮带表面,通过CCD相机捕获高对比度图...针对变光照环境下给皮带撕裂视觉检测过程造成的识别干扰,提出了一种基于洛伦兹信息测度(Lorentz Information Measure,LIM)分块的改进Ostu分割算法的结构光视觉检测方法。首先将红色线性激光投射到皮带表面,通过CCD相机捕获高对比度图像;然后利用LIM方法将ROI(Region of Interesting)区域根据其水平方向光照强度分块,并逐块通过线性加权Ostu算法进行图像分割,进而合并出整幅图像的激光条纹;最后提取激光条纹中心线,并对其信息特征进行分析比较,判断皮带是否发生撕裂。通过现场在皮带机上进行试验,在轻度和重度污染环境下,892张样本的正确检测率为95.72%,平均单张样本检测时间为89ms,检测精度和速度满足实用要求。展开更多
基金Supported by the National Natural Science Foundation of China(No.11101302 and No.11471241)
文摘Given a real finite-dimensional or infinite-dimensional Hilbert space H with a Jordan product, the second-order cone linear complementarity problem(SOCLCP)is considered. Some conditions are investigated, for which the SOCLCP is feasible and solvable for any element q?H. The solution set of a monotone SOCLCP is also characterized. It is shown that the second-order cone and Jordan product are interconnected.
文摘We present calculations and improvement inspired by the work of Lorenzo Zaninetti, published in 2020, it concerns a problem whose origin dates back 1911 with so called Maxwell-Jüttner distribution these lies on the Lorentz factor , with . This work uses powerful modern software for a reconstruction of Zaninetti work, which computes with special functions, these are included in the Mathematica software, as by instance Bessel and Meijer G-functions ready to manipulate. A progress is made, it is possible to perform an integral that is not computed in Zaninetti paper. This author connects the correct relativistic probability law: the Maxwell-Jüttner to the synchrotron emissivity with a magnetic B field, this work generalize these results, using the linear Stark effect and deals with an electric field E.
基金supported by National Natural Science Foundation of China(Grant No. 10871144)the Natural Science Foundation of Tianjin Province (Grant No. 07JCYBJC05200)
文摘Given a real(finite-dimensional or infinite-dimensional) Hilbert space H with a Jordan product,we consider the Lorentz cone linear complementarity problem,denoted by LCP(T,Ω,q),where T is a continuous linear operator on H,ΩH is a Lorentz cone,and q ∈ H.We investigate some conditions for which the problem concerned has a unique solution for all q ∈ H(i.e.,T has the GUS-property).Several sufficient conditions and several necessary conditions are given.In particular,we provide two suficient and necessary conditions of T having the GUS-property.Our approach is based on properties of the Jordan product and the technique from functional analysis,which is different from the pioneer works given by Gowda and Sznajder(2007) in the case of finite-dimensional spaces.
基金Supported by the National Natural Science Foundation of China(No.10871144)the Natural Science Foundation of Tianjin(No.07JCYBJC05200)
文摘Given a real （finite-dimensional or infinite-dimensional） Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some interconnections among these concepts. In particular, we discuss the ω-unique and ω-P properties for Lyapunov-like transformations on H. The properties of the Jordan product and the Lorentz cone in the Hilbert space play important roles in our analysis.
文摘针对变光照环境下给皮带撕裂视觉检测过程造成的识别干扰,提出了一种基于洛伦兹信息测度(Lorentz Information Measure,LIM)分块的改进Ostu分割算法的结构光视觉检测方法。首先将红色线性激光投射到皮带表面,通过CCD相机捕获高对比度图像;然后利用LIM方法将ROI(Region of Interesting)区域根据其水平方向光照强度分块,并逐块通过线性加权Ostu算法进行图像分割,进而合并出整幅图像的激光条纹;最后提取激光条纹中心线,并对其信息特征进行分析比较,判断皮带是否发生撕裂。通过现场在皮带机上进行试验,在轻度和重度污染环境下,892张样本的正确检测率为95.72%,平均单张样本检测时间为89ms,检测精度和速度满足实用要求。
