向量

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。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

A positive and negative projection method of object to be tested based on universal pattern display card includes using 3D texture to present rebuilt body data of object to be tested, calculating out directional vector array of ray outgoing point to detectors, storing said vector array into pattern display card to form directional vector texture, rotating directional vector texture and directional vector around rotary shaft to realize once of positive projection course on any projective angle, using 3D texture index technique to let virtual slab set position be not limited any more in negative projection course.

本发明属于投影探测与成像技术领域，其特点在于该方法含有以下步骤：把被测物体的重建体数据用三维纹理存储表示；预先计算射线出射点至平面探测器上个探测器之间的方向向量数组，并存储到通用图形显示卡中形成方向向量纹理；利用方向向量纹理与方向向量绕旋转轴旋转来实现任一投影角度的正投影过程的一次完成，无中间结果转存；在反投影过程中，利用三维纹理索引技术使虚拟切片组的放置位置不再受到限制。

Based on this result,the intrinsic reasons that singular value vector-based recognition methods have the low recognition accauracy are follows: singular value vectors of arbitrary two face images have not the equivalent basis space in general;there is no one-to-one correspondence between singular value vector and face image;singular value vectors are not separated.

进一步研究发现，导致基于奇异值向量人脸识别算法识别率低的根本原因是：不同人脸图像对应的奇异值向量所在的基空间不一致、奇异值向量与人脸图像之间并不存在一一对应关系、奇异值向量具有不可分割性。

Vector is an important mathematical tool for the study, the method is the use of vector algebra vector solution to the issue of three-dimensional geometry of a convenient method, space vector as the new content, in dealing with space issues have considerable advantages space than the original problem to deal with more flexibility.

向量是数学研究的一种重要工具，向量的方法是使用向量的代数方法去解决立体几何问题的一种便捷的方法，空间向量作为新加入的内容，在处理空间问题中具有相当的优越性，比原来处理空间问题的方法更有灵活性。

These methods lead to the absence of the assessment subject and results in inevitable systematic error.

本文介绍了支持向量机方法和模糊积分，通过与基于投票方式的集成支持向量机、单一支持向量机和模糊神经网络的方法进行比较，结果表明基于模糊积分的集成支持向量机的分类准确性明显好于其它几种方法。

Briefly covered vector and tensor notation, vector and tensor algebra, wave kinematics, eigenvectors/values, dimensional analysis, and scale analysis.

简要的介绍向量和张量符号，向量和张量代数，波的运动，特徵向量／值，向量分析，以及尺度分析。

First, we mainly study a class of generalized set-valued vector variational inequality problem.

首先，我们主要研究了一类广义向量集值变分不等式问题，将文献[7]中给出的向量单值情形下的广义L-条件和广义v-强制条件(C_2)推广到向量集值的情形，从而得到新的解的存在性条件，并将它应用到广义向量相补问题_T上。

This new method mainly comprises three steps: firstly, normalize the point-gradient vectors and calculate the block-gradient vectors and the corresponding block-coherence; then detect the noisy areas to eliminate the side effect of noise diffusing; finally, re-estimate all block- gradient vectors based on iteration and transform the gradient field to orientation field.

提出了一种基于梯度的健壮的指纹方向场估计算法，新算法首先归一化点梯度向量并计算块梯度向量及相应的块一致性；然后估计噪声区域；最后采用基于迭代的方法，重新估计所有块梯度向量并将梯度向量场转化为方向场。

Based on the Least Squares Support Vector Machines method, Incremental LS-SVM and Online LS-SVM method is proposed for identification of structural systems in this paper. It efficiently updates a trained LS-SVM by means of incremental and decremental pruning algorithms whenever a sample is added to, or removed from, the training set. The method overcomes the drawback of sparsenesslost within the standard LS-SVM and makes online training for the LS-SVM possible.

本文在最小二乘支持向量机方法的基础上提出了用于识别结构系统的增量最小二乘支持向量机和序贯最小二乘支持向量机方法，当新样本加入进来或老的样本被修剪下去的时候可以有效地更新，这种方法克服了标准最小二乘支持向量机方法的稀疏性缺失，使得结构参数的在线识别成为可能。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。