向量分解

Thereinto, for the spectral decomposition estimate of the covariance matrix ,we can gain the risk functions under some losses.

其中，对于观测向量协方差阵的谱分解估计，我们很容易得到它在一些损失下的风险函数。

Lanczos method is optimized in LDLT triangular decomposition 、 vector reorthogonalization and result judgement. At the same time a new method of result judgement is brought forward, and named mode compare method. The example proves the optimized results of the method.

在LDLT三角分解、向量重正交及丢根判断等步骤上，对Lanczos算法进行了多步优化，同时提出了新的丢根判断方法——模态比较法，并给出算例对优化效果进行了验证。

This article analyses the Vector Space Model based on Algebra, and expands the model: expresses the index terms with minterm in order to reflect the relationship between terms, uses singular value decomposition to present the semantic structure of documents.

本文分析了代数理论的向量空间模型，并对该模型进行了扩展：用最小项标引词以反映词与词之间的关系，用奇异值分解来捕捉文献的语义结构；最后对这三种模型进行了比较。

A hybrid intelligent forecasting method based on empirical mode decomposition and support vector regression is proposed.

本论文提出了基于经验模式分解和支持向量回归的混合智能预测模型。

A new method classifying power quality disturbances based on least square support vector machine and wavelet packet decomposition is presented.

提出一种基于最小二乘支持向量机和小波包分解的电能质量扰动分类方法。

A novel fault diagnosis approach for rolling bearings based on singularity value decomposition and support vector machine was proposed.

提出了基于奇异值分解和支持向量机进行滚动轴承故障诊断的新方法。

Wind speed forecast;support vector machine;empirical mode decomposition;persistent method

风速预测；支持向量机；经验模式分解；持续法

The random variation of the wind speed is main reason. This paper proposes a new method which based on the support vector machine and empirical mode decomposition to forecast the one-hour ahead wind speed.

随机变化的风速是风力资源难以利用的源头，本文提出基于经验模式分解的支持向量机模型进行小时风速预测研究。

A Decomposition Forward Support Vector Machine algorithm for large scale samples learning and a new dimension reduction model based on Independent Component Analysis were proposed. The calculational complexity is lower than that of the traditional chunking algorithm and the standard SVM.

提出一种基于大样本学习的分解向前支持向量机算法和一种新的基于独立成分分析的降维学习模型，其算法的复杂度比传统块算法和标准SVM低。

Besides,we also draw and describe some other problems in theexisting frame:such as the relation between Schmidt decomposition and localunitary transformation,the vector expression of pure state density matrix,traitsof certain points locating near the boundary of disentangled region.

另外，对于其它一些不甚重要的问题，如Schmidt分解与定域酉变换的联系，纯态密度矩阵的向量表示的特点，非纠缠态区域边界上的点的某些特性等等，我们一并在现有的框架中给出描述。

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。