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Considering the thermal-induced birefringence, the g parameter coordinate system is analyzed, the formulas of radially polarized and azimuthally polarized focal lengths in three different cavity structures are deduced and the proper cavity structure to get the thermal focal length coefficients is presented.

考虑热致双折射效应，利用等效谐振腔的g参数坐标图进行分析，推导了三种不同腔型结构下径向热透镜焦距和切向热透镜焦距系数的计算方法，分析并得出了测量热透镜焦距系数所需的腔型结构。

In the passive positioning of three geostationary satellites plus barometrical altimeter,the barometrical altimeter s horizontal dilution of precision and the pseudo-range s position dilution of precision are both defined,the formulas and distribution figures of such HDOP and PDOP are also given.

在三颗地球同步卫星加气压高度表的无源定位中，定义了气压高度表水平几何误差因子和伪距位置几何误差因子，并给出了相应的数学表达式和分布图。

In this paper, manufacturing process and formulas of bendable flame - resisting rigid PVC wire conduit are discussed,various factors affecting product quality are presented and practical technological conditions given.

本文讨论了硬质可弯曲PVC阻燃电线套管的工艺配方，提出了影响产品质量的各种因素，给出了实用的工艺条件。

After studying CCP stacking technique in details, we presented new formulas for CCP points and non hyperbolic time distance relation, and as well, gave an implementation for CCP binning.

我们对CCP叠加技术进行了系统研究，导出了新的CCP位置计算公式和非双曲线时距关系式，并给出了具体的CCP抽道集方法。

The conicoid fitting method used for transforming GPS elevation, and the basic structure and mathematic formulas of BP algorithm of neural networks are introduced briefly in this paper.

简要介绍了转换 GPS高程的二次曲面拟合法，以及神经网络 BP算法的基本结构和数学公式。

First, based on quadratic model and Perrys conjugacy condition, two new formulas of the main parameter β_k of conjugate gradient method are proposed.

第一，本文基于二次模型及Perry提出的共轭性条件，导出共轭梯度法的主要参数β_k的两种新形式。

Owing to the similarity between the consortial licensing for electronic resources and the group purchasing in the electronic marketplace, this paper develops a bidding mechanism with egalitarian sharing formulas to solve the existing problems in consortial licensing. The mechanism is based on the concept of Discount Coalition Game proposed by Li et al.

由於图书馆联盟订购电子资源与成本分摊问题，与电子市集中团体购买商品之行为极为类似，因此，有别於目前图书馆联盟常见之作业方式，本文根据Li et al。，(2003)所提折扣结盟赛局的概念，提出图书馆联盟订购电子资源之结盟机制以及成本分摊方式。

It introduces a kind of novel loading test system, based on the operation principle of damper. this loading system is operated by the driving motor. it realizes the loading, in that the damper has a negative drive force that puts on the motor. Based on the ordinary electromagnetic damper, the thesis presents a novel hybrid excitation electromagnetic damper which has adjustable work characteristic, analyses the working principle and structural feature of the electromagnetic damper, deduces the formulas to calculate the eddy current density through the Electromagnetic theory, analyses the distribution of the eddy current in the cotyloid rotor, and also studies the method of calculating the damp torque, establishes the mathematical model of the electromagnetic damper, analyses the relationship between the electromagnetic damper structural parameter and damp torque, researches the engineering design and analysis method of the electromagnetic damper, provides theory foundation for the design and analysis of the electromagnetic damper, contrives a hybrid excitation electromagnetic damper that satisfies the target request, designs a set of compound excitation electromagnetic damping loading control system whose control core is AT89C51 monolithic integrated circuit, analyses the electric circuit part, and carries on the experimental test to this set of electric circuits. Finally it debugs this electromagnetic damping loading system, this system satisfies the target request proposed.

论文提出了一个全新的加载测试系统种类，该加载系统是在阻尼器工作原理基础上，利用电动机拖动阻尼器运转，从而阻尼器产生一个与运动方向相反的阻尼力矩，该力矩作用在电动机上实现对电动机加载测试；同时，论文在一般电磁阻尼器基础上提出了一种新型的可调式复合励磁电磁阻尼器结构，该种阻尼器的工作特性在一定范围内可进行调节；论文分析了电磁阻尼器的工作原理和结构特点，运用电磁场理论分析推导了电磁阻尼器的涡电流密度公式，分析了涡电流在转子杯内的分布图，并对阻尼力矩计算方法进行了研究，建立了电磁阻尼器的数学模型，分析了电磁阻尼器结构参数和阻尼力矩之间的关系，对电磁阻尼器的设计和分析方法进行了研究，为电磁阻尼器的工程设计建立了理论基础；设计了满足技术指标要求的复合励磁电磁阻尼器和一套以AT89C51单片机为控制核心的复合励磁电磁阻尼加载控制系统，对该控制系统硬件电路各部分进行了分析和设计，对软件进行了设计，并对控制电路进行了试验调试，该系统满足所提出的加载指标要求。

After this, the values of m-th Gauss sums have been determined for small m(= 3,4,···, 12) by using arithmetic properties of cyclotomic fields Q- Recently the formulas of Gauss sums are determined in "self-conjugate" and "index 2" cases in which the Gauss sums belongs to the rational number field and certain imaginary quadratic field respectively.

继高斯之后，人们用代数数论对于m较小情形计算出m次高斯和。近年来，人们对于&自共轭&情形和&指数2&情形算出高斯和。对于这两种情形，高斯和的值分别属于有理数域和虚二次域。

In chapter 5, we investigated Hopf bifurcation properties of Daphnia Magna equation. Based on center manifold and normal form, we get the formulas for determining the directions of Hopf bifurcation and the stability of bifurcational periodic solutions.

在第五章中，我们讨论了无量纲Daphnia Magna方程在Neumann边值条件下的Hopf分支，得到了Hopf分支的存在的条件，利用中心流形和规范型理论得到了分支方向，分支周期解的稳定性的计算公式。

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。