Geology structure often presents non-manifold situation due to faults, resulting in relatively difficulties on complex geological structure modeling.
地质结构往往由于断层等的存在经常呈现出非流形的情况，使得对复杂地质结构建模相对困难。
In the progress of modeling, We often meet Non-Manifold polygonal surfaces, but a lot of graphical algorithms that operate exclusively on a Manifold polygonal surfaces.
实际建模过程中，经常会遇到非流形的多边形表面，但很多现有的图形学算法都是基于流形结构的。
Supposing that the reference trajectory is generated by a stable system, the bounded solution of non hyperbolic internal dynamics is existed by using center manifold theory.
假设期望轨迹由某一稳定外部系统产生，利用中心流形的理论，证明了系统内部动态有界解是存在的。
Representing objects by combining non manifold modeling and physically based modeling enlarges the representing domain for both topology and geometry.
通过非流形造型与基于物理的造型相结合，从拓扑结构和几何信息两个方面扩大了模型的表示范围。
Equally, it demands non-attachment to "me and mine" - to the ego, the false self, and its manifold cravings.
同样的，它要求对我和我们没有执著-对本我，错误的自我，和它的多种渴望。
An identification edge structure is put forward to represent non manifold modeling, which is built on the concepts and methods of the complex and CW complex in algebraic topology.
提出了一个非流形结构的表示方法——粘合边结构，其数学基础是代数拓扑中的复形理论。
The calculation code including manifold method (MM) and finite element method (FEM) is developed to study the non-simultaneous coupling problem of stress-strain and seepage for discontinuous material.
提出了一个用流形元与有限元的变形和渗流非同步耦合的分析方法，用于模拟不连续块体在水压作用下的变形过程。
Manifold learning attempts to obtain the intrinsic structure of non-linearly distributed data, which can be used in non-linear dimensionality reduction(NLDR).
流形学习旨在获得非线性分布数据的内在结构，可以用于非线性降维。
The FERTEM technique provided a reliable means for the in-situ observation of the non-aqueous nano-dispersion system, and can collect manifold information simultaneously.
冷冻蚀刻电镜用于原位观测非水纳米分散系，具有准确、直观、清晰、立体的特点，并且可同时采集多种信息。
They are suitable for the control of non-corrosive liquids and gases and are available as in-line or manifold mount constructions.
他们适合的气体控制非腐蚀性液体和建设，并可以在网上或流形山。
They are suitable for the control of non-corrosive liquids and gases and are available as in-line or manifold mount constructions.
他们适合的气体控制非腐蚀性液体和建设，并可以在网上或流形山。
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