查询词典 topological dimension

As an example, the time series of China composite stock index is considered Firstly, the distribution of five days return on China composite stock index is studied. Secondly, based on the R/S analysis Hurst exponent is worked out and determination detecting can be done . Lastly, the topological characteristics such as correlation dimension and maximum Lyapunov exponent are extracted from time series.

作为例子，本文对中国股票指数时间序列做了实证分析，首先研究了中国股票指数的五天收益率的分布规律，然后运用重标极差分析方法计算出赫斯特指数，并以此为基础进行确定性检验，最后在相空间重构的基础上提取吸引子的拓扑特征指数。

So, based on research on agroforestry system and structure optimization technology, this paper gives a theoretical and quantifiable study on structure optimization of agroforestry system on scales of among or in land cell, aspects including selection of species, dimension optimization, topological structure optimization and evaluation.

为此，本文在综合国内外农林复合系统研究以及结构优化技术研究的基础上，在土地单元间和土地单元内两个尺度上，植物材料选择、尺寸结构优化、拓扑结构优化以及优化模式评价四个层次，对三峡库区的农林复合系统结构优化进行了理论以及定量研究。

Based on the topological dimension reduction method presented by B. Zhang et al for the problem of motion planning in the environment consisting of precisely known polygonal or polyhedral obstacles, we further discuss the problem of motion planning for a multi—joint robotic arm.

对由完全精确已知的多边形或多面体组成的障碍环境中的运动规划问题，在张钹等提出的拓扑降维法的基础上，本论文进一步探讨了应用拓扑法的多关节机械手的运动规划问题，其中重点解决了状态空间中连通块的划分问题和连通块之间连通性的判别问题。

After the simulation system based on these algorithm for motion planning is set up, the correctness of partition principles is confirmed by many typical simulation experiments, so does the feasibility of motion planning for multi-joint robot based on topological dimension reduction method.

经过状态空间的划分，得到许多连通块，根据连通块之间的连通性的判别条件，构建特征网，最后根据搜索算法在特征网上搜索连通路径，进而从特征网上的连通路径求出机器人运动的几何路径。

All of these material entities spring at their point of origin from the same source as the topological manifold of space, that is, from a higher spatial dimension.

所有这些物质实体从同一来源回到原点如同空间的拓扑流行，也就是说，来自更高的空间维度。

It is proved that the topological neighborhood is self-adaptive and goes to triviality with the increase of the dimension.

对拓扑邻域进行了理论分析，说明其是自适应的，随着维数的不断升高，趋于平凡拓扑邻域。

At the basic of the review of traditional intangible assets in the side of affirmance、dimension、amortization and publication, this article analyses the problems of the Traditional intangible assets accounting, which is in the age of the knowledge-based economy, and introduces some concrete steps of enlarging its vange, improving the method of dimension and amortization, then beefing up the content of a financial statement.

本文在对传统无形资产会计核算的确认、计量、摊销、披露四个方面进行评述的基础上，分析了进入知识经济时代传统无形资产核算所面临的问题，并提出了拓展无形资产的范围，改进无形资产的计量、摊销的方法及充实财务报表的内容等具体措施。

We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念，证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1，…， fs)（f1=0，…， fs=0表示s个代数超曲面）上的维数，并利用倒差分算子给出一个方便计算的表达式；构造了沿代数流形上插值适定结点组的叠加插值法；证明了在充分相交的代数流形上任意次插值适定结点组的存在性；给出代数流形上插值适定结点组的性质和判定条件。

Suppose is two-dimension random variable, for arbitrary real value ,call distribution function for two-dimension random variable or unity distribution function .

Definition 3.2 设是二维随机变量，对于任意实数，称二元函数为二维随机变量的分布函数，或称为的联合分布函数。

So a new model of three-dimension neural network is proposed in this paper to deal with the problem of three-dimension assignment.

该文提出了一种三维神经网络模型，用以解决三节点情况下航迹关联的三维分配问题，并进行了实验仿真。

Some of them were ligated to the plasmid vector pCR 2.1 andsequenced,respectively.

将所获DNA片段克隆到pCR2.1载体进行测序，并与基因组数据库进行同源性比较。

Thinking since Google owns Blogger, I would be able to escalate this issue to the support team.

自谷歌的思考拥有Blogger的，我将能够缓解这一问题的支持团队。