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The key point of this paper made a study of the application of FDTD method to dispersive, nonlinear materials. Two methods are introduced to deal with the relationship between the electric flux density vector and the electric field vector: auxiliary differential equation method and Z transform method.

本文的重点在于研究时域有限差分法在非线性色散媒质中的应用，主要采用了两种方法来处理电通量密度矢量D和电场强度矢量E之间的关系：辅助差分方程法和Z变换法。

Average velocity is a vector quantity, in the same direction as the vector △s.

平均速度是矢量，它与矢量△s的方向相同。

We show that the differences between the results of our approach and the previous for the axial vector and vector vacuum susceptibilities are large, while that for the tensor vacuum susceptibility is small.

结果表明，我们的方法在计算轴矢量和矢量真空磁化率时与以前的方法相比数值差别是很大的，而张量真空磁化率的差别不大。

An axial vector may itself enter into a vector product.

轴矢量自身可参与矢积。

The paper is made up of two parts:Firstly, we studied systematically the radiative decays of light vector mesons:〓in the framework of a U(3)L×U(3)〓chiral theory of mesons. In this theory, low-lying pseudo scalar, vector, axial vectormesons are introduced as the bound states of the quark fields.

全文分轻味矢量介子辐射衰变和重味矢量介子的软π衰变两部分：首先，我们在U(3)〓×U(3)〓手征介子理论的框架内，系统的研究了轻味矢量介子ρ，φ的辐射衰变〓在该理论中，低能的赝标，矢量和轴矢介子场是作为夸克场的束缚态被纳入。

In studying the linear response of the dressed quark propagator in the presence of the variable external field, we derive a general expression for the vacuum susceptibility, based on the two-point external field formula in the Quantum Chromodynamical sum rule. The expressions we have derived for the calculation of vacuum susceptibility are model independent. Then we use the expressions to calculate the renormalised axial vector, vector and tensor vacuum susceptibilities.

接下来在研究夸克传播子在外场中的线性响应时，我们利用QCD求和规则两点外场公式推导出了一般的计算真空磁化率的公式（以变化的轴矢量外场为例），我们这里推导出的真空磁化率的计算公式是模型无关的。

However, Grassmanns system is so abstract and far away from the tradition as not to be understood. Its influence on the foundation of modern vector analysis is not as it should have impacted although it does affect on the axiomatization of vector theory.

遗憾的是，由于格拉斯曼的系统内容过于抽象和偏离传统而难为时人理解，它对现代向量理论的创立没有起到应有的作用，但格拉斯曼的工作却对向量的公理化具有较大影响。

However, Grassmann's system is so abstract and far away from the tradition as not to be understood. Its influence on the foundation of modern vector analysis is not as it should have impacted although it does affect on the axiomatization of vector theory.

遗憾的是，由于格拉斯曼的系统内容过于抽象和偏离传统而难为时人理解，它对现代向量理论的创立没有起到应有的作用，但格拉斯曼的工作却对向量的公理化具有较大影响。

Further more, a new Vector Base Learning network is proposed which is based on the concept of Base Vector Set and Network Base .

同时总结了算法具有小样本、可控的推广能力、鲁棒性和快速性等良好的工程特性。

This thesis has established the mathematical model of n-phase PMSM after thorough analysis of PMSM structure and running mode, and then put forward the vector transform method, which is as the base of vector control.

建立完善的多相化永磁同步电动机及控制系统的数学模型和分析方法是系统研究和实现的重要技术保证。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。