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8-谈量子力学中的时间反演算子 被引量:2
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作者 张永德 杨德田 《大学物理》 北大核心 1996年第1期9-13,17,共6页
用概念辨析法对时间反演算子作了较全面深入的讨论,澄清和指明了在时间反演算子的基本性质问题上常见的含混和错误.
关键词 时间反演算子 反线性算子 不变性 量子力学
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A-proper 算子的反演算子及其广义拓扑度计算 被引量:2
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作者 徐承璋 《四川师范大学学报(自然科学版)》 CAS CSCD 1993年第1期29-35,共7页
本文研究了A-proper算子的反演算子的A-proper性,并将孙经先(1989)给出的全连续反演算子的拓扑度计算公式推广到A-proper 反演算子,同时还给出了某些应用.
关键词 A-proper 算子 Pr-算子 反演算子 广义拓扑度
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p-反演算子及拓扑度计算
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作者 张宪 《西南师范大学学报(自然科学版)》 CAS CSCD 1995年第6期625-631,共7页
设X是实Banach空间,Ω(X)是非空有界开集,θ对P≠1,令称Ω_p为Ω的p-反演集.设F:→全连续,在bd(Ω)上没有不动点,定义F_p:→X为称F_p为F的p-反演算子.证明了:定理1deg(I-F_p,Ω_... 设X是实Banach空间,Ω(X)是非空有界开集,θ对P≠1,令称Ω_p为Ω的p-反演集.设F:→全连续,在bd(Ω)上没有不动点,定义F_p:→X为称F_p为F的p-反演算子.证明了:定理1deg(I-F_p,Ω_p,θ)=sign(1-p)·deg(I-F,Ω,θ).定理2 若存在x_0∈Ω,使对任意x∈bd(Ω),λ≥1,有则deg(I-F,Ω,θ)=sign(1-p). 展开更多
关键词 p-反演算子 不动点指数 拓扑度
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A—proper算子的反演算子及其广义拓扑度计算
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作者 徐承璋 《重庆师专学报》 1993年第2期7-11,41,共6页
本文研究了A-proper算子的反演算子的A-proper性,并将孙经先在[1]中给出的全链续反演算子的拓扑度计算公式推广到A-proper反演算子,同时还给出了某些应用。
关键词 A-proper算子 Pr-紧算子 反演算子 广义拓扑度
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反演算子的拓扑度计算 被引量:2
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作者 孙经先 《山东大学学报(自然科学版)》 CSCD 1989年第2期1-5,共5页
本文研究了反演算子的拓扑度计算,并给出了某些应用。
关键词 反演算子 全连续算子 拓扑度
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PSO algorithm for Young's modulus reconstruction
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作者 陈敏 王楠 汤文成 《Journal of Southeast University(English Edition)》 EI CAS 2006年第2期208-212,共5页
To get the quantitive value of abnormal biological tissues, an inverse algorithm about the Young's modulus based on the boundary extraction and the image registration technologies is proposed. With the known displace... To get the quantitive value of abnormal biological tissues, an inverse algorithm about the Young's modulus based on the boundary extraction and the image registration technologies is proposed. With the known displacements of boundary tissues and the force distribution, the Young's modulus is calculated by constructing the unit system and the inverse finite element method (IFEM). Then a tough range of the modulus for the whole tissue is estimated referring the value obtained before. The improved particle swarm optimizer (PSO) method is adopted to calculate the whole Yong's modulus distribution. The presented algorithm overcomes some limitations in other Young's modulus reconstruction methods and relaxes the displacements and force boundary condition requirements. The repetitious numerical simulation shows that errors in boundary displacement are not very sensitive to the estimation of next process; a final feasible solution is obtained by the improved PSO method which is close to the theoretical values obtained during searching in an extensive range. 展开更多
关键词 Young's modulus inverse finite element method particle swarm optimizer
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Inversion of self-potential anomalies caused by simple polarized bodies based on particle swarm optimization 被引量:6
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作者 LUO Yi-jian CUI Yi-an +2 位作者 XIE Jing LU He-shun-zi LIU Jian-xin 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第6期1797-1812,共16页
Prticle swarm optimization(PSO)is adopted to invert the self-potential anomalies of simple geometry.Taking the vertical semi-infinite cylinder model as an example,the model parameters are first inverted using standard... Prticle swarm optimization(PSO)is adopted to invert the self-potential anomalies of simple geometry.Taking the vertical semi-infinite cylinder model as an example,the model parameters are first inverted using standard particle swarm optimization(SPSO),and then the searching behavior of the particle swarm is discussed and the change of the particles’distribution during the iteration process is studied.The existence of different particle behaviors enables the particle swarm to explore the searching space more comprehensively,thus PSO achieves remarkable results in the inversion of SP anomalies.Finally,six improved PSOs aiming at improving the inversion accuracy and the convergence speed by changing the update of particle positions,inertia weights and learning factors are introduced for the inversion of the cylinder model,and the effectiveness of these algorithms is verified by numerical experiments.The inversion results show that these improved PSOs successfully give the model parameters which are very close to the theoretical value,and simultaneously provide guidance when determining which strategy is suitable for the inversion of the regular polarized bodies and similar geophysical problems. 展开更多
关键词 SELF-POTENTIAL INVERSION particle swarm optimization
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Particle swarm optimization and its application to seismic inversion of igneous rocks 被引量:3
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作者 Yang Haijun Xu Yongzhong +6 位作者 Peng Gengxin Yu Guiping Chen Meng Duan Wensheng Zhu Yongfeng Cui Yongfu Wang Xingjun 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2017年第2期349-357,共9页
In order to improve the fine structure inversion ability of igneous rocks for the exploration of underlying strata, based on particle swarm optimization(PSO), we have developed a method for seismic wave impedance inve... In order to improve the fine structure inversion ability of igneous rocks for the exploration of underlying strata, based on particle swarm optimization(PSO), we have developed a method for seismic wave impedance inversion. Through numerical simulation, we tested the effects of different algorithm parameters and different model parameterization methods on PSO wave impedance inversion, and analyzed the characteristics of PSO method. Under the conclusions drawn from numerical simulation, we propose the scheme of combining a cross-moving strategy based on a divided block model and high-frequency filtering technology for PSO inversion. By analyzing the inversion results of a wedge model of a pitchout coal seam and a coal coking model with igneous rock intrusion, we discuss the vertical and horizontal resolution, stability and reliability of PSO inversion. Based on the actual seismic and logging data from an igneous area, by taking a seismic profile through wells as an example, we discuss the characteristics of three inversion methods, including model-based wave impedance inversion, multi-attribute seismic inversion based on probabilistic neural network(PNN) and wave impedance inversion based on PSO.And we draw the conclusion that the inversion based on PSO method has a better result for this igneous area. 展开更多
关键词 Particle swarm optimization Seismic inversion Igneous rocks Probabilistic neutral network Model-based inversion
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An improved particle filtering algorithm based on observation inversion optimal sampling 被引量:3
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作者 胡振涛 潘泉 +1 位作者 杨峰 程咏梅 《Journal of Central South University》 SCIE EI CAS 2009年第5期815-820,共6页
According to the effective sampling of particles and the particles impoverishment caused by re-sampling in particle filter,an improved particle filtering algorithm based on observation inversion optimal sampling was p... According to the effective sampling of particles and the particles impoverishment caused by re-sampling in particle filter,an improved particle filtering algorithm based on observation inversion optimal sampling was proposed. Firstly,virtual observations were generated from the latest observation,and two sampling strategies were presented. Then,the previous time particles were sampled by utilizing the function inversion relationship between observation and system state. Finally,the current time particles were generated on the basis of the previous time particles and the system one-step state transition model. By the above method,sampling particles can make full use of the latest observation information and the priori modeling information,so that they further approximate the true state. The theoretical analysis and experimental results show that the new algorithm filtering accuracy and real-time outperform obviously the standard particle filter,the extended Kalman particle filter and the unscented particle filter. 展开更多
关键词 particle filter proposal distribution re-sampling observation inversion
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