向量的

Defined a new combination rule for the vectors of a vector space, obtain a new special group, called Bai-Liang group,which is exchange group, i.e. Aber group.

定义了新的向量结合法的多维向量空间的所有向量，组成了一个特别的BAI-LIANG 群，是交换群，即阿贝尔群。

Definded a new combination rule for the vectors of a vector space, obtain a new special group, called Bai-Liang group,which is exchange group, i.e. Aber group.

定义了新的向量结合法的多维向量空间的所有向量，组成了一个特别的BAI-LIANG 群，是交换群，即阿贝尔群。

Rotation, store the data in the matrix as an axis/angle and do the conversions yourself or will need to convert it to a quaternion.A quaternion is composed of four components: a vector with x, y, z coordinates and a w rotation.

当用一个四元数乘以一个向量时，实际上就是让该向量围绕着这个四元数所描述的旋转轴，转动这个四元数所描述的角度而得到的向量。

This dissertation focuses on the vector stochastic integral and its applicationsto mathematical finance. We first conduct a comprehensive study on VSI and provide aneconomical justification on the question of why VSI is more suitable than the component-wise stochastic integral for mathematical finance.

本论文以向量随机积分为主线，首先较为系统地研究了向量随机积分，给出了在金融数学中使用向量随机积分较之使用按分量的随机积分更合理的经济学解释。

Such as seeking the solution of inverse matrix and maximum unconcerned system of linear equations,and solution of matrix equation,proving equation of system of vectors,and judging the linear independence of system of vectors,etc.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

Can be used to inverse matrix, and Vector Group's nothing to do great group that Vector Group equivalent, of linear equations, and the judgement of the matrix equation Vector Group's linear, and so on.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

A new least-squares-based algorithm that introduces a within-class scatter with guaranteed classification performance in the design of least squares support vector machines is presented.This algorithm can obtain better correctness that reformulates primal LS-SVM problems with optimality criterion Min w′Mw where w is the weight vector corresponding the primal LS-SVM problems,M is the within-class scatter matrix.

提出了一个新的最小二乘支持向量机算法，该算法向最小二乘支持向量机优化模型中融入了类内散度思想，即用优化准则Min w′Mw对原LS-SVM进行重组合，w为对应LS-SVM中的权向量，M是类内散度矩阵。

The way I remember how to compute a cross product, is to put i, j, k in the first row of a matrix, then the first vector and finally the second, and then compute the determinant.

我记忆向量积公式的方法是把i，j，k 放在矩阵的第一行，然后是第一个向量，最后一行是第二个向量，然后计算这个行列式。

The vector equilibrium problems for bi-variable mapping from a topological vector space to another are researched.

研究拓扑向量空间之间二元映射的向量均衡问题，得到弱向量均衡问题解的存在性结果。

Wavelet packet decompresses vibration signals, and wavelet packet nodes which are sensitive to the change of state, as eigen-nodes, form a decomposition tree; the signal restructured at all eigen-nodes can be used as the fingerprint in many breaker diagnostic systems. Support vector machine with the "most important" factors at eigen-nodes as input vector classifies the states at "one to others" strategy.

首先利用小波包分解振动数据，提取状态变化敏感节点作为特征节点形成分解树，利用敏感节点重构完好状态振动信号，并以此作为当前大多断路器诊断系统中使用的指纹信号；同时提取特征节点最大系数形成特征向量，作为支持向量机的输入向量，使用&一对其余&策略进行特征分类。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。