查询词典 vector analysis

Vector spaces are a central theme in modern mathematics ; thus, linear algebra is widely used in both abstract algebra and functional analysis .

向量空间的一个中心主题在现代数学，因此，线性代数被广泛使用在抽象代数和功能分析。

Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一，它有着丰富的物理背景，它既是代数研究的对象，又是几何研究的对象，是集"数、形"于一身的数学概念，是抽象代数、线性代数、泛函分析中的基本数学模型。

This paper is expanded into three main parts to study and analyze the stock time series.1 Through the normality tests, All the sample stock-data curves show different phenomenon of Aiguille and Fat-tail, as well as Left-Deviation, which proves that none of the sample series belong to normal distribution, in other words, the linear method can't be applied into the analysis process, so we adopted the R/S method instead.2 The application of R/S method has verified the long-term memory characteristics of the sample series, and Support Vector Regression is combined to enhance the precision of Average circle period.

文中对股票时间序列从以下三个方面进行了研究和分析：1通过正态性检验，发现各样本股票数据均表现出不同程度的尖峰和胖尾以及左偏现象，证明了所有的样本序列全都不属于正态分布，也就是说明它们不能够适用线性方法进行分析，必须采用重标极差分析方法的非线性方法。2应用R/S分析方法验证他们具有长期记忆的特性，并且结合支持向量回归机提高了测定平均循环周期时的精确性。

More recent developments followed the formulation of the vector space concept into an algebraic structure , and the growth of functional analysis .

最近的事态发展后制定的向量空间的概念纳入代数结构和生长的功能分析。

For the key of vector- Distance algorithm , Curve fitting is used for the derivation of deviation angle algorithm, demonstrating the feasibility of deviation angle Algorithm and the error analysis.

针对矢量距离算法的关键，采用曲线拟合对计算偏离角的关系式进行了推导，论证了偏离角算法的可行性，对算法进行误差分析，用归纳的方法推导出计算磁短节中点与直井之间距离的关系式。

An analysis for the intensity of light and diffraction angle of bright fringes of the single -slit Fraunhofer diffraction is developed from qualitative to quantitative discussion,basing on the method of Fresnel s half-band and its extention,and on the obrvation for the amplitute vector features of wave band and sub-band on screen.

由菲涅耳半波带法思路出发，加以延伸扩展，结合观察屏上波带与子波带的振幅矢量图象，对单缝夫琅禾费衍射的明纹光强与明纹衍射角作了由定性到定量的讨论，剖析了半波带法明纹公式的近似性。

With the advancement of science and technology, some new theories and new ways emerged gradually, some of them merged with specific theoretical tools, this specific theoretical tools include mathematical morphology, fuzzy techniques, neural networks, wavelet and so on. Secondly, in this paper, it described and analyzed the segmentation method based on the edge in the domain of image segmentation in detail. It did experiments on several edge detection operators using MATLAB, it summarized the advantage and the shortcoming of traditional edge detection operators, and the operating environment. On the basis of the experimental analysis, it implemented an edge location more precise, more efficient operating speed edge extraction method——Template Vector. In this method, it optimized differential approximate calculation of first differential operators the paper mentioned. After experimented on this edge extraction method, contracted with the traditional methods, the edge outline is extracted more accurately and more exquisitely, furthermore, it retained the object outline furthest, and achieved more satisfied edge extraction result.

其次，对图像分割领域中常用的基于边缘的分割方法进行了详细的研究与分析，对各种边缘检测算子进行了MATLAB环境下的实验，分析总结了各种传统边缘检测算子的优缺点和适应环境，并针对传统边缘检测算子在处理显微图像时的缺陷，在实验分析的基础上研究并实现了一种边缘定位更加精确、运算速度更加快捷的边缘提取方法——模板向量算法，在该算法中，对文章提到的一阶微分算子中微分的近似计算作进一步优化，经过对该边缘提取方法进行实验，其结果与传统方法相比，轮廓提取更为精确细腻，且最大程度的保留了图像中物体(目标个体或者明显噪声点)的轮廓，得到了比较理想的边缘提取效果。

Based on the theoretical model,we design a Vector Autoregression Model and conduct empirical analysis to understand the relationship of real exchange rate, economic growth and interest rate.

根据理论模型的动态特点，设计了一个向量自回归模型，用来实证分析实际汇率、经济增长率和利率的关系，回答了当前条件下人民币实际汇率是否高估的问题，提出了实际汇率调整的三种途径及其政策涵义。

China's 1979-2004 data based on the use of cointegration analysis, vector autoregression, error correction model and Granger causality test theoretical analytical framework to study China's tax revenue and government expenditure on economic growth and short-term impact long-term relationship.

本文以我国1979—2004年数据为基础，运用协整分析、向量自回归、误差修正模型和格兰杰因果检验理论的分析框架，研究了我国税收和****支出对经济增长的短期影响与长期关系。

In the time series analysis, Granger causality is adapted to vector autoregression models to analyze the causal relationships among variables.

本文利用时间数列资料的特性，建立向量自我回归模型，再运用 Granger因果关系的概念，探讨台湾妇女劳动参与、婚姻、生育行为和劳动市场状况等相关变数的因果关系。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。