查询词典 manifold

Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang.

对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行中曲率向量的紧致伪脐子流形，给出了这种伪脐子流形是全脐子流形的3个充分条件，推广了纪永强的相关结果。

Hana Industries Co., Ltd. specializes manufacturing auto parts including Engine Water Pump, Brake cyclinder, Steering pump and Exhaust Manifold as well as spare parts for motor vehicle braking systems and engine cooling systems exporting to overseas market for the OEM market.

海纳机械有限公司是从事汽车零部件生产的专业制造商，主要生产发动机冷却水泵、转向泵及排气管等其它汽车零部件，并为国外汽车零部件OEM市场提供汽车制动系统及发动机冷却系统的零部件。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

In this paper, we give a generic condition of differentiable function s on noncompact complete Rie- mannian manifold.

本文给出了比文［4］更好的非紧完备黎曼流形上可微函数的最大值与最小值原理的一般性条件。

It is worth to translate this technique from its original setting in differential geometry, to the task of manifold learning.

虽然先前的研究指出了不同流形学习之间的联系，但是在核框架下来看不同流形学习之间的联系却是一个新的研究方向。

The curriculum comprises the fundamental concepts of point set topology, differential manifold and differential dynamics, followed by the conceptions and theoretical methods of abrupt change, bifurcation, chaos and fractal. The analysis and compare combined with the practice in power system make it easy for readers to learn the basic methods of nonlinear dynamics and write high quality papers.

本课程主要内容包括点集拓扑学、微分流形和微分动力系统的基本概念，后面部分主要涉及到突变与分叉、混沌、分形和分维概念和理论方法，并结合电力系统实际例子加以分析与比较，使读者很快掌握非线性动力学的基本方法，能够写出高质量的文章和学术论文。

The pressure hydrophone array manifold can be divided into two subarray manifolds,which constitute a rotation pair,and the rotational invariant factors comprise the source's direction cosine.

其中声压水听器阵可以被划分为2个子阵，它们构成旋转对，旋转因子为包含某一轴方向余弦信息的相位延迟因子。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

wind tunnel test ; parallel tube-manifold system ; dissipative model ; transfer function ; parametric analysis

为了适应以上需要，研究人员将多通道测压系统运用到风洞测压试验中[1]：连接模型表面测点的多个测压

Where possible screw and dowel hole clearance will be provided in the manifold.

只要可能，在分流式系统上应提供螺丝及合销孔。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。