不是数字，不是向量，也不是矩阵，它们是不同的数学对象。
And they are not Numbers, they are not vectors, they are not matrices, they are a different kind of object.
在信息检索中，向量空间模型是最有效的数学工具之一。
In information retrieval, vector space model is one of significant mathematics tools.
特征提取的依据是利用有关数学工具，去掉对分类无用的信息，寻找最有效的信号特征来构成用于分类识别的模式特征向量。
The extracting process is to throw off the useless information and look for the most efficient signal feature to form a pattern feature vectors for classification with mathematics tools.
本文利用数学定理和新的灵敏度定义给出特征值和特征向量导数的精确解。
The exact solution of derivatives of eigenvalue and eigenvector is presented by utilizing the mathematical theorem and new definitions of sensitivities.
提出了一种基于分类技术的支持向量回归方法，解决数据分布未知、数学模型未知的非线性回归问题。
A support vector regression method based on classification is presented to solve the nonlinear regression problem with unknown data distribution and mathematical model.
区间数学将有界不确定结构参数用超长方体即区间向量进行定量化，而凸模型理论则用椭球对有界不确定参数进行定量化。
Structural parameters with uncertain but bounded parameters are described by a hypercube-an interval vector in interval mathematics and by ellipsoid in convex models.
向量理论是19世纪后半叶数学和物理学领域取得的重要成就之一。
The vector theory is one of the important achievements of the domain of mathematics and physics in the second half of the 19th century.
采用复数向量法建立了车用起重尾板起重装置运动学的数学模型，分析了该举升机构运动的特点。
The kinematics mathematic model of lifting mechanism of vehical tail-lift is built by plural vector method.
通过时间序列分析建立反映切削状态的数学模型，从动态数据中凝聚信息，构成用于判别的特征向量。
By time series analysis, we build models depicting the cutting tool states, coacervate information from dynamic date and construct feature vectors for discrimination.
用向量知识解决数学问题，使数学问题更简单化。
Using knowledge of vector to solve a math question makes it much easier and visual.
数学上存在各种不同的抽象空间，例如向量空间，内积空间等。
There are many different types of abstract space in mathematics, for examples, vector space, inner product space, etc.
但在我国，因为其刚刚进入中学数学教材，各方面的研究都处于一个起步的阶段，特别是关于向量的教育价值研究与怎样实施教学方面的研究更是薄弱。
However, in our country as it just has been applied in the middle school mathematics curriculum, the study of vector is still in its start stage. And the research of its is even weaker.
向量是近代数学最基本的概念之一，它具有代数形式和几何形式的“双重身份”，是沟通几何、代数、三角等内容的桥梁。
The vector is one of the most basic concepts in modern mathematics, it has a "dual status" - "Algebra form" and "geometry form". It is a bridge to link up the contents of geometry.
然而，在向量集中进行推广研究是很复杂的，需要许多数学知识。
The generalization over sets of vectors, however, is heavily studied and mathematically well developed.
向量，包括平面向量和空间向量，是高中数学新教材的主要内容之一。
Vectors, both plane and solid, are important parts in Math For Senior and key points in National Entrance Exam.
采用复数向量法建立了地下运矿车举升机构运动学的数学模型，分析了该举升机构运动的特点。
The mathematical model of the lifting mechanism kinematics of the underground dump truck is established with the plural vector and the feature of the lifting mechanism is analyzed.
本文主要致力于支持向量机、近似支持向量机的学习算法研究，特征提取的数学模型与算法的改进及其应用，聚类分析算法的收敛性证明。
This paper's main works is that: learning algorithm studies of support vector machine, mathematical model and application about feature selection, convergence analysis of clustering algorithm.
竞赛矩阵和竞赛图由于具有固定行和向量及列和向量的非负矩阵类的计数，是组合数学的一个非常困难的问题，因此对具有固定得分向量的竞赛矩阵的计数问题也比较困难。
But it is very difficult to compute the number of non-negative matrix with fixed score row or column vectors, so to compute the number of tournament matrix with fixed score vector is also difficult.
为进行斜齿锥齿轮副的齿面接触分析，并直观显示齿面接触区，利用圆向量函数和球向量函数的矢量回转和坐标变换方法，建立了斜齿锥齿轮齿面接触分析的数学模型；
To analyze and display the contact of skew bevel involute gears, a mathematic model was established by vector gyration and coordinate transform of circle vector functions and sphere vector functions.
本文提出的“智能向量”的概念是一种基于二维向量的具有自判结构的数学模型。
The concept of "intelligent vector" called in this paper is a kind of mathematics model which has the structUre of self-selection based on a two-dimensional vector.
本文采用粗糙集和支持向量机这些数学方法构成智能预测系统，研究解决工程造价预测效率不高这一难题。
Using Intelligent prediction system which is constituted by rough set and support vector machine, this paper studies the low efficiency of project cost prediction.
向量知识在代数、几何、三角等数学分支中有着十分广泛的应用，利用向量这一工具可巧妙而简捷地处理多种题型。
The vector is widely applied to algebra, geometry and trigonometry. With it being properly used, many problems can be solved flexibly and easily.
在经典数学中，每个非空的仿射空间都平行于惟一的向量子空间。
Each nonempty affine set is parallel to a unique vector subspace.
本文考虑软件故障严重程度，并采用C&K面向对象度量集，以支持向量机分析方法为数学工具，建立一种基于面向对象软件易发性故障预测模型。
With software fault severity considered, a software fault-proneness prediction model is proposed in this paper by Support Vector Machine and the Chidamber-Kemerer(C&K)object-oriented metrics.
本文考虑软件故障严重程度，并采用C&K面向对象度量集，以支持向量机分析方法为数学工具，建立一种基于面向对象软件易发性故障预测模型。
With software fault severity considered, a software fault-proneness prediction model is proposed in this paper by Support Vector Machine and the Chidamber-Kemerer(C&K)object-oriented metrics.
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