In the second part firstly based on the vector Lie algebra a new commutator is defined .

在第二部分中，首先，基于 向量Lie 代数，定义一个新的算子。

So we introduce two Kinds of system for vector algebra section of analytic geometry .

从而介绍了解析几何 向量 代数部份的两种新体系。

Explaining with Examples the Structure of Vector to Solve Elementary Algebra Problems

例说构造 矢量 法解初等 代数问题

The Householder transformation-norm structure function in L_2 vector space of linear algebra is introduced and the edge enhancement for remote sensing images is realized .

采用线性 代数L2 向量空间Householder变换-Norm（范数）构造函数，实现了遥感影像的边缘增强。

In 2003 based on vector algebra Goldman presented a unified driving method . His algorithm can be used to derive linear transformations in 3D computer graphics .

2003年，Goldman提出了一种基于 向量 代数的线性变换统一推导方法。

As an addition made to the new courses plane vector is a concept combined algebra with geometry and is closely connected with other chapters .

平面 向量是新教材新增添的一部分，是 蕴含 代数与几何二重性的一个概念，并且与其它章节结合紧密。

Power Quality Unitary Quantification and Evaluation Based on Probability and Vector Algebra

基于概率统计和 矢量 代数的电能质量归一量化与评价

Kinematics model of a point on driven lever of spatial CCS mechanism was established mathematically by vector algebra and matrix operations .

以 向量 代数及回转变换矩阵为工具，建立了CCS空间机构从动构件上一点的运动学数学模型。

Applying the vector representation of formula for definite proportional division point in vector algebra this paper obtains a new useful method of compunction for segment ratio in volume ratio .

阐述了内容积比的 概念、调节的目的和实现方式、分析了与内容 积比调节相关的案例，明确了内容积比在螺杆制冷压缩机运行中的重要性。

In the form of geometry and algebra vector is the bridge linking trigonometry algebra and geometry .

它既具有几何的形式又具有 代数的形式，是沟通三角， 代数、 几何等内容的桥梁。

Comprehensive Evaluation of Power Quality Based on Probability and Vector Algebra

基于概率和 矢量 代数的电能质量综合评估

This paper presents a new method for quantitatively determining the feature and displacement of a fault by using the spatial geometric relationship of the structural plans and lines and vector algebra theorem .

介绍一种利用构造面和构造线的空间几何关系，运用 矢量 代数理论，通过数学计算定量地确定断层位移性质和位移距离的新方法。

On the Application of Comparing Methods in the Field of Vector Algebra and Analytic Geometry Teaching

论比较法在 向量 代数和空间解析几何中的运用

By analyzing the deriving methods of matrix vector algebra and quaternion algebra a unified deriving formula of linear transformations is presented by using geometrical algebra .

本文在分析了矩阵代数、 向量 代数和四元数代数进行三维线性变换推导的基础上，采用几何代数，研究了三维线性变换的统一推导公式。

This paper contains two parts : 1.Algebraic operations of quaternion are defined by utilizing the knowledge in vector algebra and the fundamental properties of algebra of quaternions are derived .

本文包含两个部分：1.用 矢量 代数的知识定义四元数的代数运算，导出四元数代数的基本性质；

This article calculates the radiative decay process π + → e + + v + r of the π + meson by employing the field-current identity of the axial vector current which may be deduced from field algebra theory or the quantum theory of composite fields .

本文应用由复合场场论或场 代数导出的轴 矢流的场流恒等式计算了π介子的辐射衰变π~+→e~++ν+γ过程。

Because fractal dimension can not respond to the orientation of the gray level images an image orientation angle estimating method is proposed by basic knowledge of vector algebra .

由于分数维不能反应灰度图像的方向性，本文利用 矢量 代数的基本知识，提出了一种灰度图像方向角的提取方法。

Linear relation of vector group is an important concept in linear algebra and is also an important theoretical foundation of solving problems .

向量组的线性相关性是线性 代数中的重要概念，也是解决问题的重要的理论根据。

A simplified kinematic model of 3 DOF Delta parallel robot has been proposed for the adoption of the spatial geometry and vector algebra method to solve the direct kinematic problems .

为此运用空间几何学及 矢量 代数的方法建立了三自由度Delta型并联机器人的简化运动学模型，求解并联机器人运动学正解。

The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra .

利用 矢量 代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；

Equivalence Between Defining Outer Product By Coordinate and Defining Outer product by vector & two Kinds of new system for vector algebra section of analytic geometry

外积的坐标法定义与向量法定义的等价性&解析几何 向量 代数部份新体系之二

Differential vector and area element of a surface & heuristic deduction based on vector algebra

曲面的微分向量与面积微元&基于 向量 代数的启发性推导

An important concept here is that of vectors generalized to vector spaces and studied in linear algebra .

这是 抽象 代数领域。这里一个重要的概念是，向量，推广到 向量空间，以及线性 代数研究。

Experience with events and vector algebra will definitely help but isn 't necessary .

了解事件和 向量 代数一定有帮助，但不是必要的。

New concept of magic squares was proposed in this paper Latin magic square vector space as magic square algebra can be obtained from every Latin magic square . The construction of magic square comes down to the same procedure of magic square base .

提出了幻方空间的概念，证明了同阶拉丁幻方构成 向量空间，而且是一个幻方 代数，从而把幻方的构造化归为拉丁幻方空间一组幻方基的构造。

The application of vector algebra to coordinate transformation of double and threefold integral

向量 代数在重积分的坐标变换中的应用

The unit quaternion transformation and vector algebra are applied to be analysis tools .

四元数变换和 矢量 代数是本文中并联机构分析的理论工具。

The definition of work suggests a third process of vector algebra namely scalar multiplication of two vectors .

功的定义用到 矢量 代数的第三种 运算，即两个矢量的标积。

Vector quantitative product is one of calculations of vector algebra . It not only connects the conversion relationship between vector and algebra but also solves effectively the problems of geometric measure and angle .

矢量数性积是 矢量 代数中的一种运算，它沟通了矢量与代数间的转换关系，同时它也有效地解决了几何度量和角度问题。