向量和

It is proved by means of constructing the new norm of the vector and the norm of matrix that the Runge-Kutta method is H-stable if|R | and A is nonsingular.

我们构造了一个新的向量范数和矩阵范数，利用该范数证明了如下定理，如果|R|和矩阵A非奇异，则Runge-Kutta方法是H-稳定的。

This approach was based on the NonSubsampled Contourlet Transform. The means and variables of NSCT coefficients matrix in different subbands and various directions were extracted to form the feature vectors which were regarded as indexes of texture images in image database. Two similarity functions were used to compute the similarity between images. A texture retrieval system based on query image was developed.

该方法利用非下采样Contourlet变换对图像进行分解，提取不同子带和不同方向变换系数矩阵的均值和方差为特征向量，作为数据库中纹理图像的索引，并利用两种不同的相似度函数计算图像之间的相似度，建立了一套基于示例查询图像的纹理图像检索系统。

Because the optimal triangle fuzzy numbers and optimal fuzzy vector which were used to replace the maximum sets and the ideal solution may be got by observation, not need the complex comparison process of fuzzy triangle fuzzy numbers.

研究发现，本文提出的模糊灰色关联分析法以可通过观察而直接得到的最优三角模糊数和最优模糊向量分别代替了以往的模糊极大集和模糊理想解，避免了模糊数比较的复杂过程，提高了模糊综合评价的决策效率。

The framework established was practical and universal, and could provide abase for specific area to select its assessment indicators. The operable indicatorsystem developed which synthetically reflected the sustainable development status ofliling could fill up the blank of regional sustainable development evaluation in liling,and this work was of practical and strategic significance to a certain extent. Inallusion to the flaw existed indimensionlessness of original data in grey system,mean value method was adopted instead of traditional standardized method, and theguidance for confirming the direction of eigenvector was first brought to grey systemin the application of sustainable development evaluation aimed to increase theobjectivity and accuracy of evaluation. The evaluation results on liling could supplybeneficial references for decision makers to make and adjust sustainabledevelopment strategic goal and counter measures.

本文所构建的区域可持续发展指标体系框架具有实用性和通用性，可作为特定区域在筛选具体评价指标时的参考依据；针对醴陵市建立的区域可持续发展指标体系易于操作，能够综合反映醴陵市可持续发展的各个方面，在很大程度上填补了区域可持续发展评价研究的空白，具有一定的实践意义和战略意义；应用主成分分析法评价各子系统的可持续发展水平时，针对原始数据处理存在的弊端，提出以均值法代替传统的标准法，并首次引入了特征向量确定的原则，从理论上可提高评价的客观性与准确性；对醴陵市区域可持续发展状况的评价结果，可以为醴陵市可持续发展总体战略目标及相关措施的制定与结构调整提供有益参考。

By implementing both the least mean square and support vector machines algorithm, the linear and nonlinear coupled dynamics model is accurately identified.

同时应用最小均方差方法和支持向量机算法，可以准确地识别机器人的线性和非线性耦合的动力学模型。

This paper researches on support vector classification in theory and model in order to solve classification problem.

目前对支持向量机的研究主要集中在对其本身性质的研究和完善以及加大应用研究的深度和广度两方面。

Point data is reorganized by generating index list respectively for geometric coordinates, texture coordinates and normal vectors. Triangular facet data is reorganized by collecting the faces with the same material attribute and generating triangle strip. Texture image data is reorganized in the format of DDS.

采用对几何坐标数据、纹理坐标数据和法线向量数据分别建立索引列表的方式重组点数据，通过集中存储相同材质面片和生成三角形条带来重组三角形面片数据，采用DDS图像压缩格式重组纹理数据。

The stochastic expansions given here depend only on the independent normal random variables and curvature arrays, therefore they are easy to understand and to deal with.

f'(0)一f(二'，0)。二'为已知的自变量，相应的因变量和随机误差为y'和。'，0为p维未知参数，其参数空间为R中的子集习。在约束方程(2)中，甲(0)为k维向量k

And in the second part, we consider the following four inverse eigenproblems: the reconstruction of normal five-diagonal matrix by two or three ordered eigenvalues and cor...

第二个部分则讨论四类矩阵逆特征值问题：在考虑给定的两个或三个特征值次序的情况下构造唯一的规范五对角线矩阵：由三个给定的特征值和相应特征向量来构造唯一的实对称三对角线矩阵和不可约实对称三对角线矩阵。

Based on the theories of normal distribution and vector norm,a novel method for evaluating the effectiveness and precision of the sensor used in currency recognition is proposed.

基于正态分布和向量范数理论的方法，提出用于判断货币识别传感器的有效性和精确性分析方法，并建立了货币识别的性质模型。

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。