MCMC(Markov chain Monte Carlo)粒子滤波算法改善了粒子滤波算法的估计性能,但同时也带来了过大的计算量.在研究MCMC粒子滤波算法的基础之上,对其进行改进.改进算法引入有效粒子数概念,适时抛弃退化粒子,动态调整粒子数,减少了运算量,...MCMC(Markov chain Monte Carlo)粒子滤波算法改善了粒子滤波算法的估计性能,但同时也带来了过大的计算量.在研究MCMC粒子滤波算法的基础之上,对其进行改进.改进算法引入有效粒子数概念,适时抛弃退化粒子,动态调整粒子数,减少了运算量,提高了运行效率.仿真结果表明,该改进算法在不降低原算法估计性能的同时,有效地提高了MCMC粒子滤波算法的运行效率,并且随着粒子数目的增加,这种优势表现更加显著.展开更多
We study two aspects of higher dimensional operators in standard model effective field theory.We first introduce a perturbative power counting rule for the entries in the anomalous dimension matrix of operators with e...We study two aspects of higher dimensional operators in standard model effective field theory.We first introduce a perturbative power counting rule for the entries in the anomalous dimension matrix of operators with equal mass dimension.The power counting is determined by the number of loops and the difference of the indices of the two operators involved,which in turn is defined by assuming that all terms in the standard model Lagrangian have an equal perturbative power.Then we show that the operators with the lowest index are unique at each mass dimension d,i.e.,(H^(†)H)^(d/2)for even d≥4,and(L^(T)εH)C(L^(T)εH)^(T)(H^(†)H)^((d-5)/2)for odd d≥5.Here H,L are the Higgs and lepton doublet,andε,C the antisymmetric matrix of rank two and the charge conjugation matrix,respectively.The renormalization group running of these operators can be studied separately from other operators of equal mass dimension at the leading order in power counting.We compute their anomalous dimensions at one loop for general d and find that they are enhanced quadratically in d due to combinatorics.We also make connections with classification of operators in terms of their holomorphic and anti-holomorphic weights.展开更多
硅橡胶复合绝缘子的憎水性迁移特性使其污层具有憎水性,污层中盐分的溶出和流失过程都变得复杂。绝缘子的污闪特性与表面污层受潮时溶解并参与导电的盐分紧密相关,对有效附盐密度(effective equivalent salt deposit density,EESDD,标...硅橡胶复合绝缘子的憎水性迁移特性使其污层具有憎水性,污层中盐分的溶出和流失过程都变得复杂。绝缘子的污闪特性与表面污层受潮时溶解并参与导电的盐分紧密相关,对有效附盐密度(effective equivalent salt deposit density,EESDD,标记为ρEESDD)进行了更深入的研究。用溶出盐密减去流失盐密来表征有效附盐密度,通过试验研究了憎水性迁移时间和绝缘子表面灰密对ρEESDD的影响,以及自然积污绝缘子受潮过程中的ρEESDD。结果发现:绝缘子受潮时ρEESDD先增大后减小,最终趋于稳定;污层憎水性导致受潮时有效附盐密度的变化过程持续时间更长;灰密的增大会导致有效附盐密度的最大值更晚出现;自然积污绝缘子ρEESDD的最大值仅为污层总等值盐密的15%,说明较低的等值盐密也是复合绝缘子污闪电压高的原因之一。展开更多
为研究跑步运动中不同紧度护膝对膝关节防护效果的影响,以20名热爱跑步运动的健康女性作为实验对象,运用三维动态捕捉技术捕捉测试者佩戴不同紧度护膝在不同速度跑步下的膝关节三维角度数据,将实验数据进行相关数理统计分析与研究。从...为研究跑步运动中不同紧度护膝对膝关节防护效果的影响,以20名热爱跑步运动的健康女性作为实验对象,运用三维动态捕捉技术捕捉测试者佩戴不同紧度护膝在不同速度跑步下的膝关节三维角度数据,将实验数据进行相关数理统计分析与研究。从紧身压迫角度出发对跑步过程中膝关节三维角度进行探讨,为紧身运动护膝的开发研究提供理论指导。结果表明:紧身压迫是衡量膝关节固定效果的一个重要因素,施加表面防护载荷对膝关节起到了一定的固定束缚作用;护膝紧身压迫应控制在2.152 8~2.861 7 k Pa内,以满足运动过程中对膝关节的固定保护作用。该研究为运动防护装备开发提供了设计依据。展开更多
文摘MCMC(Markov chain Monte Carlo)粒子滤波算法改善了粒子滤波算法的估计性能,但同时也带来了过大的计算量.在研究MCMC粒子滤波算法的基础之上,对其进行改进.改进算法引入有效粒子数概念,适时抛弃退化粒子,动态调整粒子数,减少了运算量,提高了运行效率.仿真结果表明,该改进算法在不降低原算法估计性能的同时,有效地提高了MCMC粒子滤波算法的运行效率,并且随着粒子数目的增加,这种优势表现更加显著.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11025525,11575089the CAS Center for Excellence in Particle Physics(CCEPP)
文摘We study two aspects of higher dimensional operators in standard model effective field theory.We first introduce a perturbative power counting rule for the entries in the anomalous dimension matrix of operators with equal mass dimension.The power counting is determined by the number of loops and the difference of the indices of the two operators involved,which in turn is defined by assuming that all terms in the standard model Lagrangian have an equal perturbative power.Then we show that the operators with the lowest index are unique at each mass dimension d,i.e.,(H^(†)H)^(d/2)for even d≥4,and(L^(T)εH)C(L^(T)εH)^(T)(H^(†)H)^((d-5)/2)for odd d≥5.Here H,L are the Higgs and lepton doublet,andε,C the antisymmetric matrix of rank two and the charge conjugation matrix,respectively.The renormalization group running of these operators can be studied separately from other operators of equal mass dimension at the leading order in power counting.We compute their anomalous dimensions at one loop for general d and find that they are enhanced quadratically in d due to combinatorics.We also make connections with classification of operators in terms of their holomorphic and anti-holomorphic weights.
文摘硅橡胶复合绝缘子的憎水性迁移特性使其污层具有憎水性,污层中盐分的溶出和流失过程都变得复杂。绝缘子的污闪特性与表面污层受潮时溶解并参与导电的盐分紧密相关,对有效附盐密度(effective equivalent salt deposit density,EESDD,标记为ρEESDD)进行了更深入的研究。用溶出盐密减去流失盐密来表征有效附盐密度,通过试验研究了憎水性迁移时间和绝缘子表面灰密对ρEESDD的影响,以及自然积污绝缘子受潮过程中的ρEESDD。结果发现:绝缘子受潮时ρEESDD先增大后减小,最终趋于稳定;污层憎水性导致受潮时有效附盐密度的变化过程持续时间更长;灰密的增大会导致有效附盐密度的最大值更晚出现;自然积污绝缘子ρEESDD的最大值仅为污层总等值盐密的15%,说明较低的等值盐密也是复合绝缘子污闪电压高的原因之一。
文摘为研究跑步运动中不同紧度护膝对膝关节防护效果的影响,以20名热爱跑步运动的健康女性作为实验对象,运用三维动态捕捉技术捕捉测试者佩戴不同紧度护膝在不同速度跑步下的膝关节三维角度数据,将实验数据进行相关数理统计分析与研究。从紧身压迫角度出发对跑步过程中膝关节三维角度进行探讨,为紧身运动护膝的开发研究提供理论指导。结果表明:紧身压迫是衡量膝关节固定效果的一个重要因素,施加表面防护载荷对膝关节起到了一定的固定束缚作用;护膝紧身压迫应控制在2.152 8~2.861 7 k Pa内,以满足运动过程中对膝关节的固定保护作用。该研究为运动防护装备开发提供了设计依据。
