分矢量

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。

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。

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

This paper presents a new fractional block coding approach with concept of fixed vector. The approach uses lineral combination of fixed vector in image flat, and it adopts hierarchical thought about fractional coding.

将固定矢量的概念应用于分形块编码中，对图象的平缓区进行固定矢量的线性组合编码，并且在分形编码中，采取了分层处理的思想。

Maxwell's equations group in fact was already found in the basic experimental laws of electromagnetic phenomena, as well as a single magnetic pole does not exist on the facts and the integrated displacement current assumptions, using an international system of units, these equations can be written as: DivDW =ρ or DW =ρ(1) kiDivBq = 0 or Bq = 0 (2) kiCurlEBq =- Zt or × EqkZ =- BqZt (3) ZCurlHDWDW = jE Zt, or × HW = jE Zkt (4) Z-type in the Curl, and Div were vector operator curl and divergence, Micro-k points for the Hamiltonian operator, in the rectangular coordinate system,= iZZEkx jEy kqz, iE, jE, kq along Zx, y, z-axis unit vector, a vector for any AW are × AW = CurlAW, kAW = DivAW; DW for the electric displacement, Bq for the magnetic induction intensity, Eq, and HW, respectively i field and electric field strength, jY for the conduction current density,ρ the charge density for free.

麦克斯韦方程组实际上是当时已发现的电磁现象的基本实验定律以及单个磁极不存在的事实和位移电流假设的综合，采用国际单位制，这些方程式可写成：DivDW＝ρ或DW＝ρ（1）kiDivBq＝0或Bq＝0（2）kiCurlEBq＝－Zt或×EqkZ＝－BqZt（3）ZCurlHDWDW＝jE＋Zt或×HW＝jE＋Zkt（4）Z式中Curl和Div分别为矢量算符旋度和散度，为哈密顿微k分算符，在直角坐标系中，＝iZZEkx＋jEy＋kqz，iE，jE，kq是沿Zx、y、z轴的单位矢量，对任一矢量AW有×AW＝CurlAW，kAW＝DivAW；DW为电位移，Bq为磁感应强度，Eq和HW分别为电i场和磁场强度，jY为传导电流密度，ρ为自由电荷密度。

The constitutive equation between current density vector and electric field strength vector is tranformed into s-domain by the principle of Laplace transform,and the inverse Laplace transform is adopted for the explicit equations between them in time-domain. Finally through exponential time stepping,the FDTD iteration equations are obtained,which can be easily solved in discrete-time-domain.

该方法是将电流密度矢量与电场强度矢量之间的本构方程基于拉普拉斯变换原理转到复频域，然后再逆变换到时域得到它们之间显式的方程，最后再结合指数差分，得到离散时域的显式的FDTD迭代方程，解决了本构方程中电流密度矢量的分量相互耦合而不易直接离散的困难。

Present a new LVQ wavelet image coding algorithm in which entropy coding and enumeration codes of different length are utilized. For wavelet image coding, there is a problem of mismatch between lattice distribution and the input vector probability density function in traditional LVQ algorithms (such as product-code pyramid VQ and piecewise uniform LVQ).

提出一种使用熵编码和非等长枚举码的格点矢量量化算法用于小波图象的编码，该算法以格点标记码码长的变化来适应输入矢量的非均匀分布，解决了传统的乘积码塔形矢量量化和分块均匀格点矢量量化算法中格点的调整难以与输入矢量概率分布实现良好匹配的问题。

Only if the component vectors are on a straight line will the length of the vector for the sum be equal to the sum of the lengths of these components or to their difference.

只有当几个分矢量在一直线上，那么表示其和的矢量长度才会等于这些分量的长度和或它们的差。

Further on, the Trifurcate Tree Searching algorithm was proved to have the least complexity, rather than the Binary Tree Searching algorithm, which was conventionally taken as the one with the least complexity in VQ tree searching. The application of ANS to speech enhancement was studied in chapter six.

第五章设计并实现了一种基于矢量量化技术的语音增强系统，采用了一种新的码本分离技术即采用特征矢量中对噪声不敏感部分用于VQ搜索、而用剩余部分用于形成增强后的语音；证明了矢量量化树搜索中三分法复杂性为最小而不是通常认为的二分法。

Fractal theory quantifies these phenomena mainly by ascertaining their fractal dimensions.Box-counting algorithm is the one most practical and also most frequently adopted method.The traditional box-counting algorithm is based on the grid document and has some serious shortcomings,such as the distortion of the image being enlarged,the trivialness of the process and the finite of the iterative degree,etc.The vector box counting algorithm developed in this paper takes vector document as the carrier and has three advantages.

传统的计盒算法是基于栅格文件的方法，由于其存在图像放大后失真、过程繁琐和迭代次数有限等缺陷，因此为了准确简单方便地进行分维计算，开发了一种以矢量文件为载体的矢量计盒算法，并详细阐述了这种算法的数据结构、处理流程和主要函数，同时以Koch曲线、骨肿瘤边界及水系证明了矢量计盒算法的准确性和优越性。

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。