查询词典 manifold

We prove that an n-dimensional complete open Riemannian manifold M with Ricci curvature Ric_M ≥ 0 is diffeomorphic to an Euclidean n-space if M satisfies some volume growth conditions.

第二章，我们研究了Ricci益率有一定下界的完备非紧n维Riemann流形，证明了这样的流形在满足一定体积增长条件下微分同胚于n维欧几里德空间。

It is mostly character that synthesis consider a number of factor of interior fault,exterior environment,personnel mistake operation to effect of system safety.It embodiment combine with manifold technology.It is very important meaning to und...

这种安全控制策略的一个主要特征是综合考虑内部故障、外部环境以及人员操作等多种因素对系统安全性的影响，并且在系统的实现方法上也体现了多种技术途径相结合的性质，对保证矿井提升机安全和高效运行具有重要意义。

In this paper, the unstable manifold of a continuous self-mapping/on a completely densely ordered linear ordered topological space is discussed.

文章研究完备稠序的线性序拓扑空间上连续自映射f的不稳定流形。

In order to implement Boolean operations on open or closed mesh models with different complexities correctly,a new algorithm for 3D mesh model by using Boolean operations is presented,which is based on the orientability of manifold meshes and the topological relationship of the meshes.

为了快速正确地对各种复杂程度的网格模型进行空间布尔运算，根据复式网格的可定向性建立各元素间的拓扑关系，并根据这些拓扑关系判断网格面片的最终去舍，得到布尔运算结果。

In chapter 3, we discuss a novel parametric curve representation scheme on 1D manifold in-depth.

然后，本文分别对广义有理参数曲线和广义有理参数曲面进行了深入的研究。

Besides that, the use of soil is manifold and the permissibility of soil to Cr and Cr^6 ＋ is different too.

各种地质条件形成的土壤含铬量相差很大，而土地的用途有很多种，对总铬和＋6价铬的容忍性各不相同，故尚未见到铬污染土壤治理标准。

Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.

最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量，运用环面上欧拉数为-1的圆丛的单个不可约SU（2）表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式（定理2.4.1），这一结果补充了P。

Through the use of"COSMO"DF-2810Detector big traffic and the LFM-10-flowexhaust pipe on the 4-channel testing them one by one;final"Advantech"industrial computer through the RS232passage of teh exhaust manifold 4 emissions if qualifide,storage and automatically detect parameters,equipment failure through the tri-color light and buzzer alarm prompted the operator.

通过采用"COSMO"DF-2810大流量检测仪及 LFM-10层流量管对4个排气通道逐一进行检测；最后采用"研华"工控电脑通过 RS232数据接口采集检测参数，并进行分析处理，最终判定排气歧管4个通道的排气量是否合格，并自动存储检测参数，不合格设备通过三色灯及蜂鸣器报警提示操作者。

They can be produced only through the synthesis of the manifold which sensibility A100 presents in its original receptivity.

空间与时间的产生只是通过感性在其本源的感受性中所呈现的杂多的综合。

Hence Catholics may not go the way of Rationalists and of Protestants in the matter of the so-called late and manifold redaction of Judges.

因此，天主教徒可能不会去的方式理性和新教徒在这件事的那些所谓下旬和多方面的节录的法官。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。