逼近

The Locally Linear Embedding algorithm based on Manifold learning is introduced firstly in this paper,because the

从分析基于流形学习理论的局部线性嵌入算法入手，针对传统的局部线性嵌入算法在源数据稀疏时会失效的缺点，提出了基于局部线性逼近思想的流形学习算法，并在S-曲线上采样测试取得良好降维效果。

The main achievements of this dissertation are as follows: Let W be a nonsingular matrix. 1. Problem I and Problem II are considered under the matrix set S is as the following: 1 the set of real W-symmetrizable matrices; 2 the set of real W-symmetrizable nonnegative definite matrices; 3 the set of real W-symmetrizable matrices on the linear manifold.

对于问题I和问题II，本文就S是W可对称化矩阵集合、W可对称非负定化矩阵集合以及线性流形上W可对称化矩阵集合等三种情况进行了研究，分别给出了这三种情况下问题I的解存在的充分必要条件，以及解集合的通式表达式，给出了这三种情况下的最佳逼近解，并提供了相应的数值算法和数值实例。

We approach the original nonlinear system with a second order linear system at each operating point.

在作业面的瞬时操作点上用二阶线性系统来逼近最初的非线性系统。

The main aim of this thesis is to study the properties of the maps for Heisenberg group target, which include Lipschitz and Holder continuity, L~#,H~(n , W~(1,p)#,H~(n , BMO and John-Nirenberg estimates, embedded theorems, Poincare inequalities and reverse Poincare inequalities, the regul-arities about the minimizers.

本文的主要目的是系统研究靶流形为Heisenberg群的函数及其空间的性质，其中包括Lipschitz及Hlder连续性、空间L~p及W~(1，p)的性质、空间BMO的性质及其上的John-Nirenberg估计、嵌入定理、Poincare不等式和逆Poincare不等式、能量极小映射的存在性、正则性及用调和函数逼近能量极小映射等问题。

The linear approximation function uncouples the problems at different terminals so that we arrive at the local problem for each terminal at each time period.

构造线性替代函数来逼近目标函数中的期望函数部分，使问题分解为多个单时段单节点问题。

However, a more significant challenge is looming.

然而，一个更大的挑战正在逼近。

A kind of method adopting polynomial approaches to match the nonlinear curve of looper tension moment is put forward on the base of analyses of the curve characteristic and project practice.

通过对带钢张力矩计算理论公式的分析并结合工程实际，提出了一种采用多项式逼近来拟合活套张力矩非线性曲线的方法。

We meet members of their families, particularly Marilyn Lovell, we follow some of the training, and then the movie follows the ill-fated mission, in space and on the ground.

我们看到了他们的家庭成员，特别是玛里琳。罗维尔，接着我们看到他们在训练，然后，电影循着霉运一步步逼近飞行使命，在太空中、在地面上。

That could bring the luxury tax into view.

这就要考虑正在逼近的奢侈税了。

In order to calculation Lyapunov exponent spectrum of unknown system,firstly,reconstruct phase space of observed one-dimensional time series,secondly,use Least-Squared Support Vector Machine approximate dynamical equation of reconstruction system and calculation Lyapunov exponent spectrum by Jacobian matrix.

为了计算未知系统的Lyapunov指数谱，首先，对一维观测数据序列进行相空间重构，然后，利用最小二乘支持向量机逼近重构系统的动力学方程，再通过雅克比矩阵计算Lyapunov指数谱。

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。