向量函数

SVM is a newly developed method based on statistical learning theory, and is widely used in non-linear function regression.

支持向量机是近年发展起来的一种基于统计学习理论的学习机器，在非线性函数回归估计方面有很多的应用。

Support vector regression algorithm is an application of structural risk minimization principle in function regression.

支持向量机回归算法是结构风险最小化原理在函数回归方面的应用。

Then we propose a new modeling method: Support vector machine, especially the support vector regression, kernel function.

然后提出了一种新的建模方法：支持向量机回归算法，该算法的核心部分是核函数与两个模型参数的确定。

SVM is a new machine-learning method which is developed based on statistical theory and has many applications in pattern recognition,regression analysis,function evaluation,etc.

支持向量机是在统计学习理论基础上发展起来的一种新的机器学习方法，在模式识别、回归分析、函数估计等领域有着广泛的应用。

Rupture of fractal curves is controled using support vector machine function regression in the later period of fractal interpolation.

为消除分形插值曲线的断裂和周期现象，论文提出在分形插值的后期使用基于统计学习理论的支持向量机函数拟合方法。

In this method, the decision-making variables of GA are the unknown quantities of the non-linear equations, the target function for optimization is the minimum of the root-mean-square error between the computational value on the left and the real value on the right in equations, and the initial value is generated randomly in the feasible fields of the decision-making variables.

该算法以非线性方程组的待求量为决策变量，方程组两端向量的均方差最小值为目标函数，初值在决策变量可行域内随机产生。

Some analytical solutions can be obtained via the methods of separation variables and eigenfunction-vector expansion instead of the traditional semi-inverse solution.

放弃传统的半逆解法，利用变量分离法和辛本征函数向量的展开解法可以获得一些问题的解析解。

The methods include: determining all elements' sensitivities to the sum of error functions, optimization sequence and direction of objective functions, eigenvalues and eigenvectors of Hessian matrix and the approach of stabilizing algorithm.

提出了计算功率GaAs MESFET小信号模型参数的一些改进方法，包括计算Hesse矩阵本征值和本征向量，确定各元件对总误差的敏感度、目标函数的优化顺序和优化方向，以及稳定的计算方法，计算结果与器件的测量值吻合。

And based on this result, we also prove the connectedness of G-properly efficient solution set when the vector objected function is both like-convex and quasi-convex.

在此基础上，还得到向量目标函数既似凸又拟凸的多目标最优化问题G-恰当有效解集是连通的结论。

This chapter defines the conceptsof P linear operator,〓 linear operator and 〓 linear operator by extending theconcepts of P matrix,〓 matrix and 〓 matrix to the linear operator from thelinear space of symmetric matrices to itself.In this chapter,we also present a path-following method and a potential reduction method for solving general linear matrixcomplementary problems,and analyzes their computational complexities undersuitable assumptions.

本章将第二章中给出的P矩阵、〓矩阵及P矩阵的概念推广到由实对称矩阵构成的向量空间到其自身的线性算子L上，得到了P线性算子、〓线性算子及P线性算子的概念，给出了求解一般线性矩阵互补问题的路径跟踪法和势函数约减法，并在L为P线性算子的假设下分析了这些算法的计算复杂性。

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。