应用实例表明：文中算法稳定、高效，适合于任意复杂的二维流形网格。
Experimental results show that the algorithm is efficient, robust and can be applied to arbitrary complex 2d manifold meshes.
当失业工人和空闲职位的匹配是有效时，表示经济系统的四维动力系统存在一个稳定的二维流形。
When the match between the unemployed and the vacant positions is efficient, the economic system described by a four-dimensional differential equation system has a stable two-dimensional manifold.
目前工业界广泛使用的网格细分操作要求表达图形体的网格能够在三维空间中表达一个有效并且正确的二维流形。
Being widely used in industrial field recently, the subdivision operation based on mesh is required the original mesh of graph object which can present robust and valid 2-manifold in 3d Spaces.
其次，直接利用UCA的阵列流形，采用最小二乘法估计信号二维方向角。
Second, based on a direct array manifold in UCA, the azimuth and elevation are estimated by Least Squares (LS).
给出了拟常曲率流形中二维极小子流形的共形度量的高斯曲率之上界估计。
Some estimates of Gaussian curvature of conformal metric of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature were obtained.
证明了拟常曲率流形中二维极小子流形上一个单连通区域为稳定的充分条件。
Sufficient conditions for a simply-connected domain of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature to be stable were proved.
本文通过构造形式级数的方式，给出了一种三维保测度映射系统中一维不变流形和二维不变流形的计算方法。
In the paper researches on a three-dimensional measure-Preserving mapping system are made, which is the three-dimensional extension of the Keplerian map-ping.
应用中心流形理论将二元机翼颤振这一四维系统降为二维系统，用后继函数判别法对分叉点的真假中心及稳定性问题进行了分析。
The type and stability of the bifurcation points in the subsequent reduced two dimensional system are analyzed by the method of succeeding function.
应用中心流形理论将二元机翼颤振这一四维系统降为二维系统，用后继函数判别法对分叉点的真假中心及稳定性问题进行了分析。
The type and stability of the bifurcation points in the subsequent reduced two dimensional system are analyzed by the method of succeeding function.
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