几何向量

Determinants and their properties are also introduced. After review of the algebraic structure of the Euclidean space, the algebraic vector space then will be studied.

再复习欧几里德空间的一些代数性质与几何，然后学习向量空间与向量空间的性质。

The shape-form analysis and load analysis were done by nonlinear FEM. On the basis of surface FEM grid nodes, geometry property research of structure curved surface was progressed, including normal vector, GAUSS curvature, mean curvature and principal direction vector. In this process, the approximate expression of surface didn't need to he known.

采用非线性有限元法进行了膜结构的形态分析和荷载分析，得到了曲面有限元网格；通过离散微分几何方法，研究了薄膜结构曲面的几何性质，包括曲面的法线向量、高斯曲率、平均曲率和主方向矢量，避免了复杂的曲面拟合过程。

We describe density matrix as a vector in this space,that is,to drawout the vector expression in this space.

我们把密度矩阵描述为该空间中的向量，即给出密度矩阵的向量表示，然后将一系列的纠缠判据纳入到一个清晰的几何框架中。

In order to give the geometric meaning of Inner product of two vector,the textbook printed by People's Education Press use the concepts of "projection" and "image" of vector.

为了给出两个向量的"数量积"的几何意义，现行人教版教材引入了向量的投影和射影的概念。

Regarding to the multi-granularity of and analysis demand of stock index futures transaction data, this article proposed a classification method based on support vector machines. Tangent plane solution of support vector machines is established by introducing geometrical solution. Therefore, investors can be classified based on straightforward transaction data.

针对股指期货成交数据的多粒度性以及成交数据分析的需求，本文提出在解决噪声、多粒度数据分类问题方面有突出优越性的支持向量机分类方法，引入几何求解方式，提出了支持向量机的切平面解法，根据成交数据直观地对投资者进行分类。

The algebraic and geometric invariance of singular value vector is firstly given,and then singular value vector compressed is extracted as the image feature,then RBF neural network is used to training and recognition.

首先说明了彩色图像的奇异值向量具有代数和几何不变性，再将降维的奇异值向量作为图像的特征，然后应用RBF神经网络进行训练和识别。

We use a size changeable adjacent field to describe the topological structure of 3D unorganized points in our algorithm. It can offer essential dynamic information for tessellation and points normal.

算法采用可以控制大小的邻域作为空间散乱数据点的拓扑关系的几何描述，为网格划分和点的法向量的几何描述提供了必要的动态几何信息。

By learning this course, students should proficiently use algebraic methods to solve geometric problems and practical problems, and proficiently grasp the basic ideas and methods of vector algebra and geometric properties of spatial line, plane and quadratic surface.

通过本课程的学习使学生熟练掌握运用代数方法解决几何问题并应用于实际问题之中，并熟练掌握向量代数的基本思想和方法，同时使学生熟练掌握空间的直线、平面和二次曲面及其各种几何性质。

To the characteristics that plural operate, can draw a vector diagram, make use of severals of the vector diagram relation to help the analysis and simplifications calculation, thus extended to solve the way of thinking and the method of problem.

但根据复数运算的特点，可画出向量图，利用向量图的几何关系来帮助分析和简化计算，从而扩大了求解问题的思路和方法。

This paper first discusses the nature of the kernel function,and then based on Riemannian geometry dependent on the data structure and method,an improved modifying kernel function is proposed,the kernel function is a simple and less calculation method,which conformal factor and support vector irrelevant,compared with previous studies overcomes the impact of support vector's number and distribution.

首先讨论核函数的本质，并且基于黎曼几何结构和数据依赖的方法，提出了一种改进的修正核函数，改进后的核函数形式简单，计算量较低，其中保形因子与支持向量无关，较之于以前的研究克服了支持向量的数目和分布的影响。

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。