查询词典 vector analysis

Curvature vector must be orthogonal to the slope vector.

曲率的向量必须和斜率向量垂直 4。

Some uniform formulae are established, which link the Laplacian of the position vector function to the mean curvature vector field on any submanifold in the space forms.

讨论空间型中的位置向量场，建立一组统一的公式，将子流形的平均曲率向量场与位置向量及其衍生函数的Laplacian联系在一起。

The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space;2. In this paper,the pseudo-umbilical submanifolds with parallel mean curvature vector in pseudo-Riemannian manifold is discussed.

研究了伪黎曼流形中具有平行平均曲率向量的伪脐子流形，Npn+p为n+p维完备连通伪黎曼流形，它的截面曲率KN满足a≤KN≤b，Mn为Npn+p中紧致的具有平行平均曲率向量的伪脐子流形。

The discrete curvature vector based method to fair mesh by modifying vertex positions We first low-pass filter the discrete curvature vector function to make it change more gradually and uniformly, and then modify the vertex positions according the resulted function to improve the fairness of mesh.

以此为基础，给出了两个算法：网格改点光顺的离散曲率向量法基本思想是先用低通滤波算子修匀曲率向量，并由此修改顶点的位置以改善网格的光顺性。具体算法吸取了优化问题中Zoutendijk可行方向法的基本思想。

The far-field analytical expressions for the electromagnetic fields of a cylindrically polarized vector beam propagating in free space are obtained based on the vector angular spectrum and the method of stationary phase.

基于矢量角光谱法与静态位相方法，推导出了矢量圆柱偏振光束在自由空间传输的电磁场的远场解析表达式。

This scheme was composed of two parts: intra prediction and inter prediction. For the intra prediction part, 8×8 block DCT-HT transform-domain converse was used, and then intra mode decision was done in HT domain to obtain the optimum mode, so that good intra prediction was acquired. For the inter prediction part, Motion Vector got from Variable Length Decoding in MPEG-2 stream was reused as Prediction Motion Vector of H.264, then motion prediction mode and search region were reset, so that better prediction result was acquired.

该方案中，帧内预测使用了8×8块的DCT-HT的变换域转换，然后在HT域进行Intra模式判决得出最优模式，从而得到理想的帧内预测；帧间预测重用了MPEG-2码流中变字长解码得到的运动矢量MV，作为H.264的PMV，通过重新设定运动预测模式以及搜索范围，从而获得较好的预测效果。

For determining the membership function in text classification with fuzzy support vector machine, a construction approach of text classifier based on fuzzy support vector machine and decision tree was proposed.

针对模糊支持向量机在文本分类应用中的隶属度函数确定问题，提出了一种基于模糊支持向量机与决策树的文本分类器的构建方法。

Moreover, analytic hierarchy process are used to determine a priority vector in the evaluation of customer satisfaction indices, and the scales, the computation of a priority vector, group decision, the consistency test and adjustment of a judgment matrix in AHP are studied and improved.

顾客满意度指数测评时，用层次分析法确定权重，对层次分析法的标度、权重计算、群决策、判断矩阵的一致性检验与修正5方面进行了研究与改进。

Data sample pretreatment of decision tree and Support Vector Machine method is conducted by the documents of product design knowledge segmentation processing, feature extraction, feature merger and expression vector.

通过对产品设计知识文档的分词处理、特征抽取、特征合并及向量表达，为决策支持向量机方法提(来源：d6f5A6fBC论文网www.abclunwen.com)供样本数据预处理。

A set of deficience recombinant vector had been constructed, which included a universal vector and a cell line expressing constantly capsid protein of poliovirus.

为进一步在技术上发展该系统，一套具有通用性质的缺陷型脊灰重组病毒载体己经构建，并在提供脊灰病毒结构蛋白的技术上做了相应的探讨。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。