和向量

In this article, we keep on doing this work and stress on the continued fraction vector valued rational interpolation in complex number field.

第二章 叙述向量有理插值的定义和基本概念，向量有理插值已有的构造方式和计算方法及其拓广和应用。

A new concept on the continuously distributed directional image/field and the method to compute it in the fingerprint images are proposed,which exhibits not only good continuity,well gradualness,and excellent robustness to the noises,but very high precision,as well.

本文提出了指纹连续分布方向图的概念及其算法，连续分布方向图具有很好的连续性、渐变性、抗噪性和较高的精确度；对经典的PoincaréIndex计算公式和指纹奇异点检测算法进行了改进，改进后的PoincaréIndex不仅能精确表示向量场的旋转角度，而且还能精确表示向量场的旋转方向，能够在像素级水平精确定位指纹奇异点(core点和delta点)。

By combining the interval mathematics and the finite element analysis, the mass matrix, damping matrix, stiffness matrix and the external loads are represented as interval matrices and vector.

通过结合区间数学和有限元分析，结构质量矩阵、阻尼矩阵、刚度矩阵和外载荷列向量采用区间矩阵和区间向量来描述。

It is one of the important characters of the grey system theory to utilize grey generation modeling. The basis structures of generating space in AGO and in IAGO are respectively obtained by the mathematical research of r-AGO series and r-IAGO series. The results are the following: the coherent and direct expression of the generating basis vector in AGO and r-AGO, the relation expression between two r-AGO series and two r-IAGO series, the relation among generating basis vector, generating series and moving operator.

利用灰色生成建模是灰色系统理论的重要特点之一，通过对r次生成序列（包含r-AGO序列和r-IAGO序列）的数学研究，得到了AGO生成空间和IAGO生成空间的基本结构：AGO和r-AGO生成基向量的统一的直观表达式、任意两个r-AGO序列间与任意两个r-IAGO序列间的关系式、生成基向量生成序列与移动算子间的关系。

Moreover, their intrinsic connection, advantages and disadvantages were analyzed from the view of multilinear projections, essential differences and their own superiorities between tensor and vector patterns were clarified, and the problems to be solved and future research were discussed.

对现有张量型学习算法进行总结：针对向量模式表示存在的问题，讨论了设计张量型学习算法的必要性和重要意义；从特征提取和分类器设计2个层面，对现有张量型学习算法进行分类和汇总，并着重从多线性投影方式出发，讨论了其内在联系及优缺点；分析了张量模式与向量模式表示间的本质关系及各自优势；探讨了张量型学习算法有待解决的问题及可能的研究趋势。

By the definition of Darboux type vector and rectifying Darboux type vector ,we constructed the rectifying type developable surfaces and Darboux type developable surfaces and tangential Darboux type developable surfaces ,and study these three developable surfaces relationship with Minkowski slant helices and Minkowski conical geodesic curves. Bying applying the singularity theoerical knowledge, We give a classification of special developable surfaces under the condition of the existence of such a special curve as geodesic.

通过定义三维Minkowski空间中的达布型向量以及修正达布型向量，构造出三维Minkowski空间中的三类可展曲面，即修正型可展曲面、达布型可展曲面和切达布型可展曲面，研究Minkowski斜螺线和Minkowski锥面测地线这两种特殊曲线和这些曲面的关系，并研究Minkowski斜螺线和Minkowski锥面测地线作为这些曲面的测地线的条件下，运用奇点理论的知识，对这三种可展曲面进行奇点分类。

Total gastrointestinal transit time, left colonic transit time, right colonic transit time and rectosigmoid colonic transit time were measured by the simplified method of radiopaque makers.Meanwhile, anorectal vector manometry was performed. The Constipation group was subdivided into Slow-transit group and Normal transit group according to the TGITT to explore the value of anorectal manometry in different types of constipation.

对28例便秘儿童和43例正常儿童进行全胃肠传输时间、左半结肠传输时间、右半结肠传输时间和直肠乙状结肠传输时间测定和直肠肛管向量测压(包括肛管压力、向量容积和对称指数)。

By combining the weight vector of all the attributes and the large group preference matrix, an integration evaluation value vector of all the schemes is obtained. From the integration evaluation values in this vector, the ordering result of each scheme is got. The methood solves the problem of multi-attributes and multi-schemes large group decision making better.

将各个属性权重向量和大群体偏好矩阵进行合成，获得各个方案的综合评价值向量，由该向量中的综合评价值得出各方案的综合排序结果，较好地解决了多属性多方案大群体决策问题。

There are four parts presented in this paper. In the first part, the B.F ironmaking process, B.F Expert System and the methods to predict the silicon content in molten iron are introduced. In the second part, the control parameters and state parameters of B.F ironmaking process are analyzed. In the third part, the Statistical Learning Theory and Support Vector Machine are introduced.

论文主要包括以下四个方面的内容：高炉炼铁、高炉专家系统和炉温预测的概述；高炉冶炼过程状态参数和控制参数的分析；统计学习理论和支持向量机方法；基于支持向量机的铁水硅含量数值预报模型和铁水硅含量多类别分类模型。

After created by Gibbs and Heaviside, modern vector theory is applied to branches of physics and mathematics, especially electromagnetics.

吉布斯和亥维赛的向量理论创立后，随着物理学和数学的进一步发展，物理学家和应用数学家开始大量地把向量语言用在物理学和数学的各个分支。

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。