查询词典 vector algebra

Linear algebra also plays an important part in analysis, notably, in the description of higher order derivatives in vector analysis and the study of tensor products and alternating maps.

这样向量可以用来表示物理量比如比力，可以做加法或和标量做乘法。如此形成了第一个例子：实数向量空间。

From linear algebra a normal vector of a plane can be obtained by proceeding a cross product between two vectors of this plane.

从线性代数一个可进行一两个向量的这架飞机获得的产品平面交叉法向量。

A vector named as relation vector to describe relations existing between intervals presented is used by Allen in his Interval algebra theory.

文中为Allen的区间代数理论中区间的关系表达提出了向量表示法，称之为关系向量。

In this thesis, we mainly study the theory of vector optimization in three aspects: the spectral scalarization of Euclidean Jordan algebra vector optimization, the robust methods for solving uncertain multiobjective linear optimization problem and the application in game theory.

本文共分四章，主要致力于向量优化三个方面的研究：欧几里德若当代数向量优化的谱标量化、不确定多目标线性优化问题的鲁棒方法和向量优化在对策论中的应用。

Based on the speciality of the spectral function, we provide the sufficient conditions such that the spectral function are K—increasing (strictly K—increasing) in Euclidean Jordan algebra, and establish the relationship between the spectral scalar solution set and the K— efficient solution set of the Euclidean Jordan algebra vector optimization problem.

基于谱函数的特殊性，刻画了谱标量函数满足K-增性的充分条件，继而建立了谱标量解集与欧几里德若当代数向量优化问题K-弱有效解集和K-有效解集的包含关系。

The course will introduce the basic theory of Linear Algebra including linear equations, Matrix theory and vector space concept. Eigenvalues and eigenvectors are used for describing the characteristics of the system. A set of orthogonal basis vectors represent the vector components and transformation characteristics.

线性代数是利用向量与矩阵特性，解决任何以线性方程式描述之系统，譬如电路系统、通讯系统、控制系统；藉由线性代数之特征值与特征向量，更能深入了解系统之内涵；藉由线性代数正交基底，则能深入了解向量讯号之组成与其转换特性。

Divide the whole region D into finite units and corresponding link points may be obtained. Constructing the equation of variation calculation about every element leads to the finite number of equations. Further more, algebra equation group for general synthesis are gained by adding these finite number of equations, that is,{T}={P} where is the coefficient matrix of the equation group, or say the temperature rigidity matrix,{T} is the row vector of unknown temperature and {P} is the row vector of the terms on the right side of the equation.

然后将整体区域D划分成有限个单元并得到相应的有限个节点，从而可以得到关于每个单元的变分计算方程，将这有限个方程相加就得到了总体合成的代数方程组，即{T}={P}，其中为方程组的系数矩阵，也称温度刚度矩阵，{T}为未知温度值的列向量，{P}为等式右端项组成的列向量。

In Kac-Moody algebra, if the given element is a real root vector or in Cartari subalgebra, there exists an element such that they can generate the algebra.

在Kac-Moody代数中，如果预先给定的元素属于Cartan子代数或者是实根向量，能够找到它的配对生成元。

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。

From a uncertain point which located outside of the figure to draw radial, according to the junction of radial and polygon to judge the internal and outside relationship; Boundary algebra filling, a vector convert to raster arithmetic which based on integral thought, suit for polygon vector convert which

录拓扑关系的多边形矢量数据转换，方法是由多边形边界上某点开始，顺时针搜索边界线，上行时边界左侧具有相同行坐标的栅格减去某值，下行时边界左侧所有栅格点加上该值，边界搜索完毕之后即完成多边形的转换。关系，并表示成矢量格式边界线的过程。步骤包括：多边形边界提取，即使用高通滤波将栅格图像二值化；边界线追踪，即对每个弧段由一个节点向另一个节点搜索；拓扑关系生成和去处多余点及曲线圆滑。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新