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The study of circulant matrices, an important component of the matrix theory, has become one of the most important and active research fields in applied mathematics.

循环矩阵是矩阵理论的一个重要组成部分，且日益成为应用数学领域中一个非常活跃和重要的研究方向。

Circulant matrices, which are an important component of the matrix theory, have become one of the most important and active research fields of applied mathematics increasingly.

关于循环矩阵类的研究是矩阵理论的重要组成部分，且日益成为应用数学领域中一个非常活跃和重要的研究方向。

The different distributions of electrical fields produced by circular coil and butterfly-shaped coils are calculated. The results are compared with those of other researches. And some differences in theory are analyzed.

在考虑和不考虑累积电荷的情况下，理论计算了圆形线圈、蝶形线圈感应电场的分布，分析了蝶形线圈夹角对感应电场分布的影响，并且与已有研究作了对比，对一些理论上的分歧进行了讨论。

Special solutions for the ring circular domain with crack surfaces acted on uniform compressive force, linear compressive force and linear shearing force are deduced in polar coordinate employed the eigenfunction expansion technique in the Hamiltonian system of elastic mechanics. Combined with the general solution for the above problems, the analytical solutions for crack tip fields with surfaces acted on the above three kinds of loads are obtained. These solutions offer theoretical basis to construct analytical elements for plastic analysis of crack.

从弹性力学哈密顿体系理论出发，利用平面弹性力学极坐标系下的本征向量展开求解，推导了环形圆形域裂纹边作用有均布压力、线性压力和均布剪切力情况下的特解，从而得到了裂纹表面作用有以上三种荷载情况下的裂纹尖端场的解析解，为进一步构造进行弹塑性裂纹分析的奇异解析元奠定了理论基础。

Based on symmetry of the circular light spot of the laser, a two dimensional numerical simulation of temperature fields of laser molten pool has been developed.

利用激光圆形光斑对称性的特点，建立了激光表面快速熔凝条件下温度场的二维数值模型。

This feature gives a reasonable explanation for the mechanism of CAS. The phase velocity of diffraction fields for uniform plane wave on a circular aperture has been investigated. It is shown that diffraction can result in subluminous phase velocity at certain points of optical field in vacuum.

如果相对论电子能够注入到这一通道内，那么它与激光场间的相移就可能变得非常小，从而能够长时间地保持在加速相中得到极高能量。

In some ways, science is one of the easiest places to start to show the intricate blend of academic fields. While some may spout the existence of hierarchy when trying to create an order to disciplines, I have been trying to teach my students the notion of circularity.

从某种意义上来说，科学是探索不同专业领域的复杂方法当中最简单的一种，当很多人都在用金字塔结构的方式教学的时候，我一直在尝试用循环的方法去教学生。

The system is assumed to be free of any losses and the fields of separated regions in circulator cavity are expanded by means of mode-matching method.

没有磁偏场作用时，我们提出一种行之有效的在给定频率下设计H面波导环行器中部份高度铁氧体性的新方法。

The strategy that Taiwan merchants value most is obtaining lower cost. Apart from that they have to think of their own manufacturing characteristics, taking otherfactors into their consideration, so as to show various development trends. The cither factors involved are:The fields where investment is concentrated are moving northward. So they should take market ranking positions and electricity providing, etc. into consideration; Taiwan investment of electronic and appliances manufacturing industry consider comprehensively of upper and lower enterprises, high efficiency and fine services of local government.

台商决策投资主要从考虑降低成本方面考虑，即选择劳动力和土地成本较低的地区进行投资，但除了考虑降低成本的因素以外，台商企业还根据自身产业的特点，综合考虑其他因素的影响：台商投资地区呈现北移的趋势，综合考虑内销市场合理占位、电力能源供应等方面的因素；台商电子电器制造业投资，综合考虑配合上下游企业、当地政府工作效率和服务水平等方面的因素；台商投资形态逐渐向大陆内销发展，综合考虑合理的市场布局，即选择良好的内销市场占位；台商企业投资建设研发中心，综合考虑研究机构成果和高级技术人才方面的因素，即利用当地高级人才；台商服务行业企业投资，综合考虑自身服务市场的走向，跟随服务对象的投资而决策投资。

As the most fundamental method to express democratic rights in civic society, it functions as legal means in public fields, providing a basis for the legality of politics.

它作为市民社会民主权利表达的最基本方式，发挥公共领域的合法性功能，为政治的合法性提供基础。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。