多维空间

Defined a new combination rule for the vectors of a vector space, obtain a new special group, called Bai-Liang group,which is exchange group, i.e. Aber group.

定义了新的向量结合法的多维向量空间的所有向量，组成了一个特别的BAI-LIANG 群，是交换群，即阿贝尔群。

Definded a new combination rule for the vectors of a vector space, obtain a new special group, called Bai-Liang group,which is exchange group, i.e. Aber group.

定义了新的向量结合法的多维向量空间的所有向量，组成了一个特别的BAI-LIANG 群，是交换群，即阿贝尔群。

According to the data's division and organization, multidimensional data indexes can be divided to two classes: indexes based on space, indexes base on data .

根据数据的划分组织方式，多维索引结构分为两大类：基于空间划分的索引结构和基于数据划分的索引结构。

A multidimensional online data analysis model based on the business space and method base is introduced, and a framework based on the model is presented.

本文介绍了一个基于业务空间和方法库上的联机分析模型以及多维联机数据分析系统框架XOLDAS的实现技术，采用该框架可以快速开发OLAP系统并具有良好的可扩展性。

In multidimensional space,the niche breadths of these plants tended to expand,whereas theniche overlaps tended to decrease and the niche separations tended toincrease.

在多维生态位空间内，各植物种的生态位宽度有扩大的趋势而相互间的生态位重叠有减小的趋势，生态位分离度有增加的趋势。

In addition, the transition from statistical optimization of simulated annealing to deterministic optimization of simplex method is also taken to shorten run time. Secondly, two methods are used to automatically synthesize cell-level analog circuits, which include equation-based method and simulation-based method.

具体来讲，采用对解空间进行划分、并多区间优化的方法来解决多维下降单纯形算法的全局优化问题；采用求解好的迭代起始点、并由"统计优化"向"确定性优化"过渡的方法来加速模拟退火法的收敛速度。

Map is a powerful tool for recording,displaying,computing and analysing roomage relationship of geographic objects. With the development of Science of Computer and Mapping technology, traditonal paper map will be replaced by digital map for its preponderant attribute of dynamical, alternative, Super-Media intergrated, Multi-Yardstick expression and Multi-Dimension displays.

地图是记录、显示、计算、分析地理事物空间关系的一个重要工具，数字地图则具有动态性、交互性、超媒体集成、多尺度表达、多维化显示等优越特性，计算机科学与测绘技术的发展，使得传统纸质地图逐渐被数字地图取代。

Different types of terrain would lie on the different site in the spectral space, which is the basic theory for remote analysis and clustering.

不同类型的地物具有不同的反射光谱，在多维光谱空间中构成不同的特征向量，这便是我们利用多光谱图像区分地物的物理依据。

For a long time,structuralism has played quite different parts in lexicological studies of Chinese,both active and inactive.At present,a better way out for Chinese lexical study is to break away from the framework of structuralism and return to the most essential state.A multi-proportion view should be introduced with the interaction between man and space of existence as the most primary.Besides,a hierarchy of goals should be set up with the understanding of "man" in the national mind as the highest.Finally,different approaches should be developed with cognition.explanation??

摘 要：面对长期以来结构主义等学派在发挥巨大积极作用同时又具有深刻消极影响的状况，当前的汉语词汇研究，最好能突破结构主义框架，走出结构主义走势，回到最为根本之处，开启多维视角而突出人与生存空间互动这一主要视角，确立多层目标而突出认识民族&人&这一最高目标，拓展多向思路而突出认知？

The seismic excitation of space lattice structures is not only multi-dimensional but also multi-support, so ground motions are very complicated.

大跨空间网格结构受到的地震作用不仅是多维的，也是多点的，结构的受力情况十分复杂。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。