查询词典 manifold

Invariant manifold theory was developed by Henri Poincar頩n the late nineteenth century when he studied the three body problem.

不变流形理论是由庞加莱頩n的19世纪晚期，他研究了三体问题。

When various proposals for libration missions came along, a partnership with Purdue University was formed to develop and apply invariant manifold theory for these missions.

当解放使命的各种提案出现了，与美国普渡大学合作成立了开发和应用这些任务不变流形的理论。

When target maneuvers, and if we take target as reference, radar will form a complicated inverse synthetic aperture manifold equivalently in space, this chapter studies the imaging problem systematically in this situation.

当目标作机动飞行时，以目标作固定基准，雷达等效地在空间形成流形复杂的逆合成孔径，本第二章是对这种情况下成像原理进行了系统的研究。

In particular,the C-Autoencoder provides such a bi-directional mapping between the high-dimensional data space and the low-dimensional manifold space and is not only able to overcome the inherited deficiency of most nonlinear dimensionality reduction methods that do not have an inverse mapping but also especially suitable for dimensionality reduction and reconstruction of high-dimensional continuous data.

特别地，这种连续自编码网络可以提供高维连续数据空间和低维嵌套结构的双向映射，不仅有效解决了大多数非线性降维方法所不具备的逆向映射问题，而且特别适用于高维连续数据的降维和重构。

In this paper we obtain Jorgensen s inequality of isometry group M of Pinched manifold X and a geometric characteristic of nonelementary subgroups of M.

本文建立了 Pinched流形 X上等距群 M中的Jorgensen型不等式；证得了M中非初等群的一个几何特征；得到了 M中子群的两个离散准则。

Although the reasons are manifold, but the door itself curriculum is undoubtedly one of the key reasons for the one ring.

虽然原因是多方面的，但教学方法单一无疑是其中关键的一环。

The manifold forms of nature fascinated Klee and inspired him to help himself like from a construction kit and compose his own, imaginary landscapes.

大自然的多姿多彩令克里着迷，激发他从一堆素材中尽情创作出属于他自己的、充满想象力的风景画。

By projecting 3D models into 1D smooth principal curves, equally segmentation and sampling along the length of curve are implemented to extract shape feature vectors, then one can retrieve 3D model according to the matching result of shape feature vectors of 1D manifold.

本文将三维网格模型，投影为三维的光顺主曲线；通过对主曲线沿弧长方向的均匀分割采样，提取主曲线的空间位置和姿态等形状特征；最后通过形状描述向量的比较实现了对应的三维模型检索。

Lens space is a very important kind of three dimensional manifold.

透镜空间透镜空间是三维流形中非常重要的一类，所以认识和研究透镜空间对研究三维流形很有意义。

It is discussed that the methods of discrimination of the stability of the singular point of nonlinear autonomous system by using of eigenvalue,center manifold and Liapunov function .

给出了利用特征根、中心流形和李雅普诺夫函数判断非线性自治系统奇点稳定性的方法。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。