25 resultados para Courant metric


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he first order perturbations of the energy levels of a stationary hydrogen atom in a static external gravitational field, with Schwarzschild metric, are investigated. The energy shifts are calculated for the relativistic 1S, 2S, 2P, 3S, 3P, 3D, 4S, 4P, 4D, and 4F levels. The results show that the energy-level shifts of the states with total angular momentum quantum number 1/2 are all zero, and the ratio of absolute energy shifts with total angular momentum quantum number 5/2 is 145. This feature can be used to help us to distinguish the gravitational effect from other effects.

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The first-order perturbations of the energy levels of a hydrogen atom in central internal gravitational field are investigated. The internal gravitational field is produced by the mass of the atomic nucleus. The energy shifts are calculated for the relativistic 1S, 2S, 2P, 3S, 3P, 3D, 4S, and 4P levels with Schwarzschild metric. The calculated results show that the gravitational corrections are sensitive to the total angular momentum quantum number.

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Huazhong Univ Sci & Technol, Natl Tech Univ Ukraine, Huazhong Normal Univ, Harbin Inst Technol, IEEE Ukraine Sect, I& M/CI Joint Chapter

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The Ophiophagus hannah (King Cobra) neurotoxin CM-11 is a small protein with 72 amino acid residues, Based on complete assignments of H-1-NMR resonances and determination of secondary structures of CM-11, 349 distance and 27 dihedral angle constraints including 19 phi's and 8 chi's were collected from NOESY and DQF-COSY , and the chemical stereospecific assignment of beta(1)H was partially achieved, Twelve structures with lower energy was obtained via metric matrix distance geometry and refinement with simulated annealing, These structures have a low RMSD of 0.14 nm for backbone atoms and 0.20 nm for heavy atoms, with no distance constraint violation more than 0.05 nm, and no dihedral angle violation more than 3 degrees.

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On the basis of data collected in the summer of 2006 from 27 sampling stations in the Changjiang Estuary and its adjacent waters, the ecological characteristics of macrobenthos and the relationship between the macrobenthos and the environmental factors were studied using hierarchical cluster and non-metric multidimensional scaling ( MDS). The biomass, abundance, Shannon - Wiener's and Margalef' s indices of the macrobenthos were presented. The results showed that a total of 253 maerobenthic species were found in the research region, and most. of them belong to mollusks and polychaetes. The dominant species were Cossurella dimorpha, Eocylichna cylindrella, Episiphon kiaochowwanense, Nassarius semiplicatus, Ocstergrenia variabilis and Sternaspis scutata. The average abundance of the macrobenthos was (313.15 +/- 233.4) ind. / m(2), and the average biomass was (15.2 +/- 11.2) g/ m(2). The distribution patterns of the abundance and biomass of the macrobenthos were similar. The abundance and biomass in the area close to the estuary were lower than those from the area more distant to the estuary; the central part of the research region had higher abundance and biomass than other parts of the research region. In accordance with the results, four macrobenthic communities with distinct spatial differences were identified. The low abundance and biomass in the area close to the estuary should be caused by the high sedimentation rate. The statistical analysis indicated that the depth is the most important factor affecting the distribution of macrobenthos.

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该文研究了部分结构化室内环境中自主移动机器人同时定位和地图构建问题.基于激光和视觉传感器模型的不同,加权最小二乘拟合方法和非局部最大抑制算法被分别用于提取二维水平环境特征和垂直物体边缘.为完成移动机器人在缺少先验地图支持的室内环境中的自主导航任务,该文提出了同时进行扩展卡尔曼滤波定位和构建具有不确定性描述的二维几何地图的具体方法.通过对应用于SmartROB-2移动机器人平台所获得的实验结果和数据的分析讨论,论证了所提出方法的有效性和实用性.

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本文给出一种运用约束最优化的变尺度法求解Schilling水下机械手运动学逆解的方法。这种方法不仅具有牛顿方法的快速性和理想的总体收敛性,通过迭代求取H阵,不仔在奇异性问题,运用惩罚函数法选取步长,保证了从任意点进行搜索,同时有效地处理了约束的存在。这种方法较其它优化算法和搜索法有明显的快速性,在PⅡ550微机上的求解实验证明此算法完全可以用在此机械手运动学的实时求解中。

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本文建立了排序的度量空间,并且在该空间上建立了映射概念.在此基础上,应用采样方法,讨论了采样次数与优化的关系,并提出了均匀采样的启发式方法.

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相机标定是2D图像重建3D测度信息的关键步骤,也是一项耗时的任务,由于标定过程中经常需要人工寻找对应点。本文提出了一种基于圆形标志点的全自动相机标定方法。首先,在传统圆形标志点模板的基础上增设了5个方位圆。然后提出了新标定板下图像特征点的自动检测和匹配算法。匹配结果直接作为Zhang的算法的输入,从而计算出相机内外参数,避免了标定过程的人工干预。最终实验结果显示了所提方法在不同场景和光照条件下的自动性和正确性。

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从二维图像恢复物体的三维结构是计算视觉的一个重要研究方向。通过研究三视图之间的对极几何,提出了一种基于三线性关系的度量重建方法。不需要对相机的运动或者景物结构施加任何约束,使用直接重建方法,利用三焦点张量恢复场景的度量重构。仿真实验和真实图像实验表明,该度量重建方法具有很高的准确性和实用性。