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Cauchy核奇异积分方程关于积分曲线的稳定性 被引量:13
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作者 王小林 龚亚方 《数学年刊(A辑)》 CSCD 北大核心 2001年第4期447-452,共6页
当E为复平面上的有界连通区域,所有已知函数在E上满足Holder条件,光滑封闭曲线Г■E时,借助广义逆,讨论了正则型Cauchy核奇异积分方程在Г发生某种光滑扰动时的稳定性问题,给出了相应的误差估计。
关键词 Cauchy核奇异积分方程 广义逆 光滑扰动曲线 稳定性 积分曲线 正则型 误差估计 收敛性定理 Hoelder条件
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核密度中含参数的Cauchy型积分关于积分曲线摄动的稳定性
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作者 林娟 《福建商业高等专科学校学报》 2002年第3期17-20,共2页
本文讨论当任意给定的 φ(z,τ)在某个区域E内属于H类时 ,Cauchy型积分Φ(z) =12πi∫Γφ(z,τ)τ-z dτ ,φ(z,τ)∈H(T×Γ) ,在封闭光滑曲线Γ E发生光滑扰动时的稳定性 ,并给出了相应的误差估计。
关键词 奇异积分 CAUCHY型积分 光滑扰动曲线 稳定性
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积分曲线摄动的Cauchy核奇异积分方程的稳定性
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作者 林娟 《福建商业高等专科学校学报》 2002年第1期28-29,共2页
设E为复平面上的有界连通区域,光滑封闭曲线г E, 借助Riemann边值问题的稳定性,讨论正则型Cauchy核奇异积分方程在г发生某种光滑扰动时的稳定性问题。
关键词 Carchy核奇异积分方程 RIEMANN边值问题 光滑扰动曲线 稳定性
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一种采用容错宽度Hough变换的路网优化方法 被引量:2
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作者 张国英 宋科科 +1 位作者 赵鹏 程金龙 《测绘科学技术学报》 CSCD 北大核心 2014年第3期269-273,共5页
采用容错宽度Hough变换对道路提取后形成的基础路网进行优化和修正。经典Hough变换适合直线提取,算法计算过于严格,不适合路网曲折情况下的扰动曲线提取。将容错宽度引入Hough变换中,设置容错宽度,有效弥补了经典Hough变换处理曲折路网... 采用容错宽度Hough变换对道路提取后形成的基础路网进行优化和修正。经典Hough变换适合直线提取,算法计算过于严格,不适合路网曲折情况下的扰动曲线提取。将容错宽度引入Hough变换中,设置容错宽度,有效弥补了经典Hough变换处理曲折路网的不足。提取直线后,采用连接、延长和裁剪等方法对基础路网进行优化。实验证明,容错宽度Hough变换计算速度快、占用内存更少,有效克服了路网的曲线扰动问题,检测的直线位置更为精准,路网优化效果显著。 展开更多
关键词 路网优化 HOUGH变换 容错宽度 曲线扰动 直线斜率
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Perturbation to Mei Symmetry and Noether Adiabatic Invariants for Birkhoffian Systems
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作者 DING Ning FANG Jian-Hui 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第6期1410-1412,共3页
Based on the concept of adiabatic invariant, the perturbation to Mei symmetry and Noether adiabatic invariants for Birkhoffian systems are studied. The exact invariants of Mei symmetry for the system without perturbat... Based on the concept of adiabatic invariant, the perturbation to Mei symmetry and Noether adiabatic invariants for Birkhoffian systems are studied. The exact invariants of Mei symmetry for the system without perturbation are given. The perturbation to Mei symmetry is discussed and the Noether adiabatic invariants induced from the perturbation to Mei symmetry of the system are obtained. 展开更多
关键词 Mei symmetry PERTURBATION Noether adiabatic invariant Birkhoffian system
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Riemann边值问题关于边界曲线的稳定性 被引量:23
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作者 章红梅 王传荣 《福州大学学报(自然科学版)》 CAS CSCD 2001年第1期1-4,共4页
讨论了当E为复平面上的有界连通区域且所有已知函数在E上满足H lder条件时 ,Rieman边值问题在边界曲线Γ E发生光滑扰动时的稳定性问题 ,给出了相应的误差估计 ,并建立了收敛性定理 ,且当Riemann边值问题的指标R <0 时提出了扰动拟... 讨论了当E为复平面上的有界连通区域且所有已知函数在E上满足H lder条件时 ,Rieman边值问题在边界曲线Γ E发生光滑扰动时的稳定性问题 ,给出了相应的误差估计 ,并建立了收敛性定理 ,且当Riemann边值问题的指标R <0 时提出了扰动拟可解的概念 . 展开更多
关键词 RIEMANN边值问题 简单光滑扰动曲线 稳定性 边界曲线 误差估计 收敛性定理 扰动拟可解
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Translational zero-disturbance curve and its application to zero-disturbance motion planning of space manipulator system 被引量:4
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作者 LIAO YiHuan LI DaoKui TANG GuoJin 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第5期1234-1239,共6页
A new motion planning method is proposed for enlarging the solvable space of zero-disturbance motion planning for the space free-floating manipulator system. First, a class of translational zero-disturbance curves is ... A new motion planning method is proposed for enlarging the solvable space of zero-disturbance motion planning for the space free-floating manipulator system. First, a class of translational zero-disturbance curves is put forward for the first time. The equation of translational zero-disturbance curve is deduced using the nonholonomic constraint of the manipulator system, and its characteristics are also discussed. Second, the zero-disturbance curve of the whole operating process is divided into two segments. The first one is a translational zero-disturbance curve which passes through the target point. Another one is a common zero-disturbance curve which passes through the original point and intersects with the translational zero-disturbance curve. Finally, the common zero-disturbance curve is obtained by a hybrid programming strategy based on Gauss pseudo-spectral method (GPM) and direct shooting method (DSM). The numerical simulation results indicate that the proposed method is effective, and that the solvable space of this method almost covers the whole work space of the manipulator system. 展开更多
关键词 motion planning space manipulator muitibody system zero-disturbance curve
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Influence Analysis in Growth Curve Model with Covariate Matrix Disturbance
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作者 Gang Liu Shangli Zhang Guomei Zhou 《Journal of Systems Science and Information》 2006年第1期117-120,共4页
Abstract: In this paper, we discuss the influence analysis of BLUE in growth curve model with covariate matrix disturbance, and establish the relationships of BLUEs among different models, give the measurement and co... Abstract: In this paper, we discuss the influence analysis of BLUE in growth curve model with covariate matrix disturbance, and establish the relationships of BLUEs among different models, give the measurement and computational formula which can assess the disturbing influence. 展开更多
关键词 growth curve model covariate matrix disturbance Best Linear Unbiased Estimate (BLUE) influence analysis
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