多维空间

Since the 2-D perfect difference codes have a MUI cancellation property and cross-correlation much lower than that of conventional 2-D spectral/spatial codes, such as Maximal-area matrices codes, the proposed system can completely eliminate the MUI and effectively suppress the PIIN.

由於二维完美相差码系具有一多使用者干扰相消特性，并且其交叉相关系数系远小於传统之二维频谱/空间码，如最大面积矩阵码maximal-area matrices codes， i.e。

In this paper, granularity in rough set theory is used to describe rules based on the concept of rough degree. A tool for knowledge dependent relation diagram is put forward. Then dimensional knowledge granularity decision space and the same construction mapping decision space based on multi-decision sorts is established, and decision algorithm based on KDRD and decision space is introduced. Finally, through combining with the technique of fault diagnosis, it is proved that the approach is very appropriate to the intelligent decision system.

本文利用粗糙集理论中的粗度概念，在对获取规则进行扩展性的粒度描述的基础上，提出了一种工具―知识依赖关系图，构造了n维知识粒度决策空间以及基于多决策类的同构映射决策空间，建立了基于KDRD和决策空间的决策算法，并结合机械故障诊断说明了本方法非常适于故障诊断等通过结论获取原因的智能决策系统。

Combining the homogeneous matrix transformation theory of space mechanism and computer graphics, we raise the general principle and motion simulation's method of complicated mechanism, which is represented by spacial multipole structure of open chain.

通过将空间机构学齐次矩阵变换原理和计算机图形学原理相结合，提出了以空间多杆开式链机构为代表的复杂机械系统运动三维图形仿真的一般原理和方法。

With space and time two dimensional signal, a matrix is constructed, and the null space of the matrix is utilized to realize SDMA. The complexity of this technigue is analyzed.

该算法通过对空时二维信号的处理，发送空时二维信号构成一个矩阵，利用矩阵的零子空间以实现空分多址。

For case study, db4 optimum wavelet base is used to transform GR, SP and AC from a well in Shengtuo oilfield. By this transformation the logging data are expended from one dimensional depth space into two dimensional depth-scale space.

以胜坨油田某井为例，采用db4最佳小波基分别对自然伽马、自然电位和声波等测井曲线进行了多尺度分析，将一维测井数据拓展为二维深度－尺度空间，提取小波变换系数的时频色谱信息和能量信息，从而确定出测井曲线识别准层序界面的最佳尺度。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

Let me now reinsert the space you deliberately subtracted for your question, so you can feel the torque

这样就使诗歌页面上形成一种曲线空间，一种多维度的空间，而不是一种二维的欧几里得几何空间。

In this framework, image frame, audio and text are represented, which are the three modalities in video shots as data points by the 3rd-order tensor. Then a subspace embedding and dimension reduction method is proposed, which explicitly considers the manifold structure of the tensor space from temporal-sequenced associated co-occurring multimodal media data in video. It is called TensorShot approach. Transductive learning uses a large amount of unlabeled data together with the labeled data to build better classifiers. A transductive support tensor machines algorithm is proposed to train effective classifier. This algorithm preserves the intrinsic structure of the submanifold where tensorshots are sampled, and is also able to map out-of-sample data points directly. Moreover, the utilization of unlabeled data improves classification ability.

在此框架中，视频镜头首先被表示成由视频中所包含的文本、视觉和听觉等多模态数据构成的三阶张量；其次，基于此三阶张量表达及视频的时序关联共生特性设计了一种子空间嵌入降维方法，称为张量镜头；由于直推式学习从已知样本出发能对特定的未知样本进行学习和识别，最后在这个框架中提出了一种基于张量镜头的直推式支持张量机算法，它不仅保持了张量镜头所在的流形空间的本征结构，而且能够将训练集合外数据直接映射到流形子空间，同时充分利用未标记样本改善分类器的学习性能。

And by further correlated analyze the surface and spatial moving process and trajectory of different vortices, and the representative points on the vortex line and characteristic points on the curve of side force distribution, a physical model of multi-asymmetric vortices over a 3-D slender body is developed.

在对每个背涡从物面到空间发展和运动轨迹、不同背涡在空间的特殊位置关系、以及这些特殊位置与截面侧向力分布特征点的相关性进行对应分析的基础上，建立了细长体在大迎角亚临界Re数流动状态下非对称多个背涡的空间三维涡系结构物理模型。

The relationship between an object s three dimensional entity and its two-dimensional multi-views can be expressed vividly and visually by Solid Edge V11 parametric molding software, which constructs three-dimensional entity model and represents an engineering object spatially and dynamically.

用SolidEdgev11参数化造型软件建立三维实体模型，以真正的空间概念和动态方式表示工程对象能形象直观地表达一个对象的三维实体与多幅二维视图之间的关系。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新