查询词典 topological dimension

Firstly, we establish a topological space associated to the derived category of a finite dimensional algebra with finite global dimension, which is a generalization of module variety and complex variety.

首先，我们在有限整体维数的代数的复形范畴上建立了复形拓扑空间。

After a brief introduction of Three Dimensional Boolean Operation concepts, we illustrated the way how to decrease the procedure from three dimension to two dimension, and discussed on those singular problems, so that we can get the three dimensional topological information.

在简要的描述三维布尔运算基本概念后，我们给出了具体的三维到二维的降维过程，讨论了在二维空间中解决奇异问题的方法，最后得到三维重构拓扑信息。

Connected topological manifolds have a well-defined dimension; this is a theorem rather than anything a priori .

连接拓扑流形的具有明确的层面，这是一个定理，而不是任何先验。

The method includes the following steps: firstly, a spherical neighborhood of present sample points is established by using the geometric spherical-modelling theory and all the sample points contained in the spherical neighborhood are adopted as candidate neighbor points, thus not only preserving the effectivity of the dimension reduction capability when data sets are sparse but also getting the advantages of low-sensitivity to isolated points and good stability of the preserved topological structure; then a data relevance matrix more matching semantics can be obtained by relevance measurement based on route clusters to update the candidate neighbor points in the spherical neighborhood and optimize the regular neighborhood space of the present sample points, thus improving the phenomenon that the dimension reduction of sample sets provided with folded curved faces is apt to suffer the integrated-structure distortion in case of heterogeneous data distribution.

首先利用几何开球原理建立当前样本点的球状邻域，将包含在球状邻域内的所有样本点作为候选近邻点，不但能够保持在数据集稀疏情况下的降维性能的有效性，而且具有对孤立点敏感性不高、保留拓扑结构稳定性好的优点。然后利用基于路径聚类的相关性度量得到更符合语义的数据相关性矩阵，用来对球状邻域内的候选近邻点进行更新，优化当前样本点的规则邻域空间，改善了当数据不均匀分布时在带有折叠弯曲面的样本集上降维容易出现整体结构扭曲的现象。

Hereby, an improved 9I model and a dimension extended 9I model that could describe topological relation between complex spatial objects are given.

该定义不但适合于对空间实体进行任意剖分后形成的复形，而且适合于多个独立实体进行剖分后的组合复形。

Thus the topological invariants, including dimension, the number of separates, type of components, and sequence of components, are introduced for detailed classifications of topological relations.

这些模型都是在其分类层次上对面目标间拓扑关系的完备描述，并且它们的区分能力是层次递进的。

Firstly, on the base of graph theory, this dissertation gives the integrity knowledge expression and realization of product motion model, including the topological structure, motion dimension, drive information and physical characteristics.

给出了产品运动模型的完整信息表达及实现方法，在基于图论的机构拓扑结构表达基础上，建立机构运动尺度信息、驱动信息和运动单元的物理特性信息。

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。

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。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷