查询词典 finitely generatable vector space

Formly, HDR casts classification problems and regression problems into a unified regression problem. Clustering is performed in both output space and input space at each internal node, termed "doubly clustered" and discriminants in the input space are automatically derived from the clusters in the input space. A hierarchical probability distribution model is applied to the resulting discriminating subspace at each internal node.

在图像的分类和检索中，以前的层次判别回归方法把分类和回归统一成回归问题，在每个内部节点进行输入和输出空间的双聚类，输入空间的分类子空间可以自动从聚类中获得，再用层次概率分布模型计算判别子空间，这样就构成了输入空间由粗到精的概率分布，可以准确而且快速地实现高维数据的检索。

In the second part, we give the relationships between some inequalities of trigonometric martingales with values in Banach space and TP uniform convexity of the space. So we characterize the TP q-uniformly convex of the Banach space by inequalities of trigonometric martingales with values in Banach space.

第二部分研究了取值于Banach空间的一类特殊而义具体的鞅-—三角鞅，三角鞅不等式与该空间的q一致TP凸性的关系，从而用三角鞅不等式刻划了空间的q一致TP可凸性。

They state that the state space of a system is a Hilbert space and the observables are Hermitian operators acting on that space, but do not tell us which Hilbert space or which operators.

它们规定系统的状态矢量空间是希耳伯特空间以及可见的是作用于空间的哈密特操作者，但是不告诉我们哪个是希耳伯特空间或哈密特操作者。

Determinants and their properties are also introduced. After review of the algebraic structure of the Euclidean space, the algebraic vector space then will be studied.

再复习欧几里德空间的一些代数性质与几何，然后学习向量空间与向量空间的性质。

The new method of the singular value decomposition is used to calculate the eigenvalue of embedding space matrix , and the corresponding algorithm to calculate eigenvectors and to obtain the basis of embedding vector space is put up in this paper.

应用本征值分解技术对动力系统实测数据嵌入空间矩阵的本征值进行了计算，提出了具体计算嵌入空间矩阵本征值及其本征向量的改进计算方法，以及嵌入空间矩阵基的改进选取方法。

A reduced order state observer is adopted to reconstruct the rotor flux component, and the poles of flux observer are assigned properly by pole assignment algorithm to satisfy the performance criteria of system and to get the purpose of observing flux.To start with the basis concept of space vector, the paper analyzes the relationship of stator phase voltages and voltage vectors in space.

磁通观测器采用降维观测器，仅对转子磁通分量进行重构，并通过极点配置算法，合理配置观测器的极点，使观测器满足系统的性能指标，达到磁通观测的目的。

A sequenced method in consideration of the sample range was proposed to rationally array classifiers of a support vector machine with binary tree architecture. A sample distribution radius and a sample distribution distance were introduced to estimate sample range of all classes in high-dimension characteristic space. The classes with bigger sample range were classified earlier in the higher nodal point of the binary tree architecture, and were given wider classificatory areas in the characteristic space.

考虑到样本的分布情况对分类器推广能力具有较大影响，提出一种次序二叉树支持向量机多类算法，采用样本分布半径和样本分布距离估算各个类别的样本在高维特征空间中的分布情况，把分布半径较大的类别或者分布距离较大的类别较早地分出来，并且在特征空间中给其划分较大的分类区域。

It compares the vector space model andthe sentence space model in classifying the same document with the recall and the precision from different granularity, word granularity andsentence granularity.

比较了从词、句子两个不同粒度对文档进行表示的向量空间模型和句子空间模型在对同一问题进行分类时的召回率和准确率。

It is necessary to point out that our results not only extend the classical results of composition operators C〓 on Hardy spaces, Bergman space, Dirichlet space and Nevanlinna class, but also expand composition operator C〓 to sequence {C〓} or C〓C〓 and C〓C〓, and expand basic spaces to the vector-valued analytic function spaces, etc.

应该指出的是，本文不仅涵盖了经典Hardy空间、Bergman空间、Dirichlet空间、Nevanlinna类上复合算子C〓的原有结果，而且进一步弄清了不同空间之间的复合算子的性质，同时扩展了单个复合算子C〓至复合算子序列{C〓}及乘积算子C〓C〓与C〓C〓的情况，基本空间扩展至向量值解析函数空间的情形等等。

To obtain the likelihood function indicating the uncertainty of observed information, noisy data is firstly expressed by a set of data vectors instead of a single vector, and then transferred to probability density curve defined in model space through confidence value defined in data space.

我们将数据向量的概念扩展为数据向量的集合，通过引入数据空间内的信赖度，把数据噪声转移到模型空间的概率密度函数上，即获得了反映数据本身的不确定性的似然函数。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！