查询词典 vector algebra

This paper introduces a physical feature-sensitive topological simplification algorithm for planar vector fields to solve the physical feature preserving problem ignored by pre-existing methods. Its central idea is to classify the vector field region under the application-specified physical criterion, and combine the feature detection of a vector field with its topological simplification.

针对现有拓扑简化方法忽略物理特征保持的缺陷，提出一种对物理特征敏感的平面向量场拓扑简化算法，其中心思想是使用为应用定制的物理判据分类向量场区域，将向量场的特征检出与拓扑简化关联起来。

Firstly, based on the generalized function,φ-mapping topological current are rigorously proved to be of delta-function form δ and can be labelled by the nodal indices of the vector field, namely by Hopf indices and Brouwer degrees of this vector field, which reveals the inner relationships between our theory and the topology of vector bundle.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

Firstly,based on the generalized function,φ-mapping topological currentare rigorously proved to be of delta-function formδand can be labelledby the nodal indices of the vector field,namely by Hopf indices and Brouwerdegrees of this vector field,which reveals the inner relationships between ourtheory and the topology of vector bundle.A singular divergence theorem isalso presented.

论文首先以广函数为基础严格证明了，φ-映射拓扑流具有δ函数形式，并且可以向量场的零点指标表征，即以其Hopf数和Brouwer度拓扑量子化，从而揭示了它与向量丛的拓扑学之间的内在联系。

Based on the analysis of the affected extent of the neutral-point potential by every space vector on all kinds of voltage and current conditions the concept named neutral point control grade was proposed for the first time in this paper. The calculation formulas of NPCG were presented as well. Based on NPCG, a novel modulation scheme called optimized 3D space vector modulation (O3DSVM) scheme was proposed in a-b-0 coordinates based on the translation principle of axes, by which the space vectors with higher NPCG values are selected to synthesize the object vector to suppress the unbalance of the neutral-point potential.

该文通过对各种电流电压状态下每个三维空间矢量对直流中点电位的影响进行分析，提出了"中点控制度"(neutral-point control grades，NPCG)的概念，并给出了NPCG的计算公式；基于NPCG，在a-b-0坐标系下提出一种基于坐标平移原理的新型"三维矢量优化选择调制策略"(optimized 3D space vector modulation，O3DSVM)，该调制策略能优化选择NPCG值较高的矢量以合成目标矢量，从而达到最大程度控制直流中点电位偏移的目的。

Using the way of Dirac left and right vector, this paper shows the representation s of Hamilton operator for cyciooctateraene and the relation of the representation and unit vector when taking different unit vector of cy-clooctateraene molecule.

用Dirac左、右矢量符号，讨论了环辛四烯分子采用原子轨道为基矢量，原子轨道两两组合为基矢量时，其Hamilton算符H的表象及基矢量之间的关系。

The TST was applied to multi-scaling vector to increase it's approximation order, and with PR condition, the dual of transformed multi-scaling vector was obtained. Then the special TST was taken for this dual, the dual of original multi-scaling vector with higher approximation order obtained, finally the multi-wavelet function with higher vanishing moment maybe constructed.

我们先对已知的尺度向量进行双尺度相似变换，以提高其逼近阶，再求出变换后的尺度向量的对偶，对这个对偶再进行特定的双尺度相似变换，就可得到原尺度向量的有高逼近阶的对偶，从而可能得到具有高阶消失矩的多小波函数。

Is a collection of some of the attributes of all things; vector is also value addition to the amount of direction at the same time; vector space, also known as linear space, is composed of many components of the vector and in line with the specific rules of operation of the collection.

集合是具有某种属性的事物的全体；向量是除了具有数值还同时具有方向的量；向量空间也叫线性空间，是由许多向量组成的并且符合某些特定运算的规则的集合。

If physical quantity is vector quantity it must obey the addition rule of vector quantity, that is to say, when two vector quantities is added, its result is not influenced by adding order.

物理量又分为标量、矢量和张量，若物理量是矢量，它应服从矢量的加法法则，即两个矢量相加时，相加次序不影响它的结果，由A→+B→=B→+A→所得到的最终结果相同。

Objective To learn the influence of the earthquake in Wenchuan on vectors and vector borne disease, grasp timely the vector species and its density dynamics, and provide a reliable basis for the risk assessment of vector borne disease.

目的 了解汶川特大地震对病媒生物及相关传染病产生的影响，及时掌握地震灾区病媒生物种类、密度动态，为病媒生物性疾病风险评估提供可靠依据。

Methods The density of vector was monitored comprehensively and systematically in the Olympic core area,Olympic venues and outside of Olympic venues.Large-scale vector control activities were carried out in the area within 2 km and the whole city,with Olympic venues as the key places of vector control.

对奥运核心区、全市奥运场馆、场馆外围进行全面系统的病媒生物密度监测，以奥运场馆为重点，对周边2km及全市范围开展大规模的病媒生物控制活动。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。