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.
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。
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.
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。
However, when the underlying lower-dimensional manifold is self-intersecting at some points, it's difficult to obtain local lower-dimensional structure from the Euclidean neighborhoods.
然而，当高维数据所逼近或近似的一个低维流形自相交时，欧氏距离意义上的邻域不能完全反映低维点的相邻关系，往往难以体现真实的局部线性结构。
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.
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。
The other is about the calculation and experiment of the two-dimensional unsteady turbulent flow in an exhaust manifold.
二是对排气管的二维不稳定湍流流动进行了计算和实验研究。
This thesis mainly carries on research of three dimensional surface reconstruction of variable intake manifold and air fluid simulation analysis.
本文主要进行可变式进气歧管的三维曲面重建和空气流动模拟分析的研究。
In this paper, a FVM-TVD method for simulation of one-dimensional unsteady flow in inlet and exhaust manifold of ICE has been constructed.
介绍了进排气系统一维非定常流动的FVM-TVD法（总残差减少的有限体积法）。
By the intuitive idea of approximate an infinite dimensional manifold by finite dimensional manifolds, concepts of projected subsystems and project limit controllability are proposed.
根据用有限维流形逼近无穷维流形的思想，提出了投影子系统和投影极限能控性的概念。
According to center manifold theory, high dimensional map and simplified map are equivalent near by bifurcation point.
根据中心流形定理，高维映射与被降维的简化映射的局部分岔行为是等价的。
The three dimensional velocities of the manifold junction with a rectangular section were measured by use of three dimensional particle dynamic analyzer (3D PDA) to verify the modified KIVA program.
利用3维粒子动态分析仪（3D-PDA）测量了矩形截面三分支管试验件的3维速度场，以验证改进后的程序软件的可靠性；
Gaussian process latent variable model (GPLVM) is a popular manifold method recently proposed for dimensional reduction.
高斯过程隐变量模型是最近提出的比较流行的无监督降维方法。
The relations between topological mixingand topological exact of maps on one-dimensional compact manifold are discussed and a few conditions of topological mixing turning into exact are given.
讨论了一维自映射中拓扑混合与拓扑正合的关系，得到了拓扑混合映射成为拓扑正合的几个条件。
This paper presents a generalized one-dimensional unsteady flow model for the calculation, of gas flow in manifold of I.
本文提出广义一维非定常流动的模型，用以计算内燃机进、排气管中气体的流动。
The three dimensional velocities of the manifold junction with rectangular section are measured by use of three dimensional particle dynamic analyzer(3D-PDA).
应用三维粒子动态分析仪 （3DPDA）测得了矩形截面三分支联接的三维速度分布。
This note takes a sketch of a proof of a characterization theorem for diffeomorphisms oa a compact 3-dimensional smooth manifold to be structurally stable.
本文摘要叙述有关三维紧致光滑流形上结构稳定的微分同胚的一个特征性定理的证明。
Also we show that for an open, dense set of economies, the set of equilibrium prices contains a smooth II-1 dimensional manifold, where H is the numb…
我们证明了存在经济空间的一个稠密开子集，使得对开子集的每个点，都存在着均衡点，并且均衡商品价格包含一个H-1维光滑流形，这里H是事件树中顶点的数目。
Also we show that for an open, dense set of economies, the set of equilibrium prices contains a smooth II-1 dimensional manifold, where H is the numb…
我们证明了存在经济空间的一个稠密开子集，使得对开子集的每个点，都存在着均衡点，并且均衡商品价格包含一个H-1维光滑流形，这里H是事件树中顶点的数目。
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