向量

Base vectors are selected for formulating the nonlinear mapping. An approximate explicit expression is formed by using the Nystrm method for nonlinear mapping which is not available originally. The data in the nonlinear input space is mapped into some linear feature subspace and fisher linear discriminant analysis is computed for the mapped data.

首先提取基向量；然后采用Nystrm方法，以基向量为训练样本，将形式未知的非线性映射近似表达为已知形式的非线性映射，这种近似的非线性映射将变量由非线性的输入空间转换到线性的特征子空间；最后对映射数据进行线性Fisher判别分析。

It should be pointed out that this necessary and sufficient condition isessentially one of the main results in author's doctoral thesis, but, here weonly need the weaker locally Lipschitz condition for both system vectorfield and control vector field.

另外，我们应该指出的是此充要条件本质上是作者博士论文中的主要结果之一，但本文中对系统向量和控制向量都只需要更弱的局部Lipschitz条件。

The offset direction is defined by the local coordinate system, which is formed of the tangent vector and the normal vector of every point on the curve.

本文利用曲线上各点的切向量和法向量所形成的局部坐标系来确定等距方向，从而给出一种广义偏距曲线的新定义。

It is an important problem to find the optimized parameter of ε-non-sensitive loss function, because it is closely related with the behavior of support vector machine.

回归支持向量机的ε不敏感损失函数的参数寻优是一个重要的问题，它与支持向量机的行为特性有紧密关系。

So I always will think of this as a matrix A, the matrix of coefficients.

然后是未知数向量，未知数向量我们经常用X表示，大写的X。

The algorithm analysis was carried out and the algorithm simplification was made with the matrix transformation.

最后对最佳权向量的求解这个问题，给出了适用于工程化的最佳权向量求解的简单迭代算法。

In selecting vectors, the algorithm also uses the class label of training set and the judgment information of class mean vector.

在特征向量的选择中，本算法还用到了训练集的类别标签和类别平均向量的判别信息。

In Chapter 1, we introduce some theories and methods about the estimation of regression coefficient and do some preparations including some theories in the mean vector, the covariance matrix, the quadratic form of random vector, matrix derivative.

第1章概括介绍线性回归模型回归系数估计的一些理论和方法，并给出均值向量与协方差阵、随机向量的二次型、矩阵微商等预备知识。

Through simulation, the size of the filter template affecting on filtering imaging is investigated, the filtering effects of second mean filtering method and vector filtering method at the same size of filter template is comparised, the curve distribution of power spectral density of second mean filtering method and vector filtering method is analyzed.

仿真实验研究了滤波模板的大小对滤波效果的影响，比较了在同样模板的选取下向量滤波方法与二次均值滤波法的滤波效果，分析了向量滤波方法与二次均值滤波法的功率谱密度分布。

A new similarity measure based on concept semantic space is designed.

本方法的优点是：在计算两个向量之间的距离时，即使某个特征不存在，但与其具有语义关联的其它特征可以在某种程度上起替代作用，从而较为精确的计算了向量间的距离。

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。