Riemannian metric
- 网络黎曼度量;黎曼度规
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Surface Mesh Generation Based on Riemannian Metric
基于黎曼度量的复杂参数曲面有限元网格生成方法
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D - sufficiency of bifurcation problems under singular Riemannian metric
奇异黎曼度量之下的分支问题的d-充分性
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Deeply study the relationship between the Riemannian metric and the adjoint operator Ad kk ?
对Riemannian流形中的度规与空间伴随算子的内在联系作了深入研究,并给出了具体的映射关系。
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In the end , the problem of robot trajectory planning is investigated by the linearization method and Riemannian metric .
最后,应用近似化方法和黎曼度量方法,研究了机器人最优轨迹规划的问题。
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The Riemannian metric of fiber bundles
纤维丛的黎曼度量
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On the deformation of a Riemannian metric v_m of class I which preserves the mean curvature
论保持平均曲率的黎曼测度Vm在欧氏空间E(m+1)的变形
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However , mapped method tends to generate distortion elements , which leads to poor quality meshes . Based on mapped method , the Riemannian metric was applied .
针对映射法容易产生畸变而导致网格质量较差的问题,提出了一种黎曼度量和前沿推进技术相结合的曲面网格生成方法。
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The examples demonstrate the advantages of the mesh generation scheme based on Riemannian metric which indicating that high quality surface meshes can be generated within a reasonable time limit .
算例表明,该算法对复杂曲面能够生成高质量的网格,而且整个算法具有很好的时间特性和可靠性。
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Can the fundamental groups of any compact topological manifold determin that it admits a non-positively curved Riemannian metric ?
反之,对于紧致拓扑流形,能否由基本群决定在它上面是否容许有非正曲率的黎曼度量?
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Under the invariance principle , the manifold is proved to have a unique Riemannian metric given by the Fisher information matrix , and a dual pairs of affine connections .
统计流形在一定的不变原则下被证明具有唯一的黎曼度量,即为Fisher信息阵,以及一对对偶的仿射联络。
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Riemannian metric is introduced to define mesh sizes and to calculate point-to-point distances , thus a traditional isotropic Bowyer-Watson kernel for Delaunay mesh generation is revised for Riemannian context of planar anisotropic mesh generation .
在各向同性算法中引入黎曼度量表征单元尺寸,计算两点距离,获得黎曼度量场下的Bowyer-Watson增量插点内核,实现平面各向异性Delaunay网格生成。
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We think that conformal surface parameterization is equivalent to finding a proper Riemannian metric on the surface , such that the metric is conformal to the original metric and induces zero Gaussian curvature for all interior points .
认为曲面的共形参数化过程等价于寻找一个合适的黎曼度量,使得该度量和网格的初始度量共形等价,并且它所诱导的Guass曲率在内部点处为零。
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A dual affine structure is constructed on it and a divergence is defined as a distance like measure . Furthermore , the Riemannian metric , α - connections and α - curvatures of the Fisher Z manifold are given .
讨论了FisherZ分布流形的对偶结构及其平坦性,进而给出了该流形的黎曼度量、α仿射联络和α曲率,并在该统计流形上定义了散度来衡量两点之间的距离;
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A new definition concerning the Riemannian metric of bundle spaces is given by using of the Riemannian metric of related base spaces and fibers . Theorem 1 and theorem 2 give the line elements of the metric for the vector bundles and for the principal bundles , respectively .
如何从纤维丛的底空间和纤维型的黎曼度量构造丛空间的黎曼度量,接着,定理1和定理2分别给出了向量丛和主丛关于这种度量的线素。
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On groups of motions in a Riemannian space with indefinite metric
关于非正定的黎曼空间中的运动群
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On the Group of Conformal Transformations of a Riemannian Space with Indefinite Metric
关于线素非正定的黎曼空间的共形变换群