向量

The relations among three parallel sections,such as parallel mean curvature vector fields, parallel isoperimetric section and parallel umblic section,on submanifolds in the constantly curved Riemannian manifolds R ~ are studied.

讨论常曲率空间Rn+p中子流形上三类平行截面：平行平均曲率向量场、平行等参截面、平行脐截面三者之间的相互关系。

Researches the submanifolds in nested space,for constant curvature Riemannian submanifold in quasi-constant curvature manifold and pseudo-umbilical submanifold with parallel mean curvature vector in constant curvature Riemannian submanifold,presents three sufficient conditions for this pseudo-umbilical submanifold to be total-umibilical submanifold,generalizes the result of JI Yongqiang.

对于拟常曲率流形中的常曲率黎曼子流形以及常曲率黎曼子流形中具有平行中曲率向量的紧致伪脐子流形，给出了这种伪脐子流形是全脐子流形的3个充分条件，推广了纪永强的相关结果。

Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not.

几何向量引入了更为先进的方法，它不仅汇集了许多传统的治疗无所适从，而且还导致进入载体的实际用途，一般直接通过仔细分离曲线的拓扑关系是从那些没有不变的坐标。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有：函数与极限，一元函数的导数与微分，中值定理与导数的应用，不定积分，定积分，定积分的应用，空间解析几何和向量代数，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数，微分方程。

Owing to its cyclic symmetry the complex constraint method for the eigenproblems of cyclic symmetric structure is applied to calculating the eigenpairs of the helical gear structure.

根据齿轮结构的循环对称性，以仅含有一个完整轮齿的扇形子结构作为齿轮有限元计算模型，用计算循环对称结构特征值问题的复约束方法，通过求解一个扇形子结构的特征值问题得到整个齿轮结构的特征值和特征向量。

In this thesis, we implement a computational procedure to categorize and classify 3-D objects from their contour under a simple environment. First, we use foreground detection, Canny edge detection and speedy GVF snake to obtain the object's contour. The contour is then used to establish the object's features. Two databases are built using methods which compute similarity by modified aspect-combination algorithm proposed by Cyr and Kimia and new proposed aspect-combination algorithm. By using these two databases, we recognize 3-D objects using four recognition methods and compare their performance. Finally, a conclusion is made that our newly proposed algorithm is better than the modified algorithm proposed by Cyr and Kimia.

在本论文中，对一个在单纯环境下的三维物体，由撷取到辨识出此物体做了一个完整的实现，首先，利用前景侦测结合肯尼边缘侦测法和加速的梯度向量流动态轮廓侦测法，来得到物体轮廓，接著利用此轮廓找寻出物体的特徵，然后配合计算相似度的方法，代入修改后的Cyr and Kimia的外观结合演算法（aspect-combination algorithm）和新提出的外观结合演算法去建资料库，然后，对於三维物体则依据两种不同方法所建出的资料库，利用四种辨识的方法来辨识并比较其结果，最后得出新提出的外观结合演算法是优於修改后的Cyr and Kimia的外观结合演算法的结论。

According to the geometrical theory, the information of one-dimensional distributions and vector fields can be obtained after a completion of DAE.

根据DAE的几何理论，对DAE完备化能得到一维分布和向量场的信息。

In cylindrical coordinate system,a modified mixed variational principle with viscous damping force is established and the corresponding state-vector equation is derived.

建立了圆柱坐标系下包含粘滞阻尼力的修正后的Hellinger-Reissner变分原理，推导了对应的状态向量方程。

The design of the sampling rate conversion sub-module includes that of interpolator,decimator and shaping filter,during the course of which,the researcher choose different methods,comparing their corresponding spectrum masking performance of the transmitter as well as EVM and PER performance of the receiver respectively to choose an appropriate shaping filter.

在设计当中，作者选择了不同的方法，通过比较发送端的频谱屏蔽性能以及接收端的误差向量幅度性能和误包率性能选取合适的成形滤波器。

The digital part contains space vector pulse width modulation, simple center computer processor, proportional-integral controller and descend frequency decimator.

整体架构大致可分为数位和类比电路二大部份，数位部份可分为：空间向量脉波宽度调变器、简易中央电脑处理器、比例积分控制器、降频滤波器。

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。