查询词典 vector decomposition

A vector multiplied by a scalar quantity is a vector in the same direction as the original vector.

乘以标量的矢量是一个与原矢量同向的矢量。

The multi-dimensional signals measured by sensors with a machine working under normal condition or fault condition, can be used to build Q statistic and T^2 statistic respectively to detect the state of the machine. Meanwhile, the feature vector is constructed by the Q value and the T^2 value, the geometrical distance between the normal feature vector and the feature vector H when the machine goes wrong is used to realize the fault location. The results show that the method is feasible.

利用多个传感器测量的异步电机多维信号参量，构建电机在正常工作和发生故障时的Q统计和T^2统计，以实现电机的状态检测；利用Q统计和T^2统计值构建电机的状态特征向量，通过比较度量当前电机的特征向量与电机发生故障时的特征向量H的几何距离来实现电机故障的定位与分离实验证明，该方法可以有效地实现故障的诊断与分离。

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。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。