反

In chapter 4, Based on the orthogonality relations and duality of C-algebras, we study the decompositions of C-algebras, and give a Fourier inversion formula on C-algebras, which generalizes the Fourier inversion formula on the center of a finite group algebra over complex. As an application, we characterize the integral closure of C-algebras over the ring of integers, and show a necessary and sufficitient condition for elements of C-algbras being algbraic integral over integers.

第四章 我们应用C-代数的正交性及对偶性刻画了C-代数的一个分解，给出了C-代数上这个完全分解的Fourier反演公式，从而推广了Z分解的Fourier反演公式；作为Fourier反演公式的一个应用，我们刻画了Z在整数环Z上的整闭包，进一步我们研究了C-代数在整数环Z上的整闭包，给出了C-代数在整数环Z上为整元的一个充要条件。

In addition, simplex algorithm is used to inverse calculation the material parameters and thickness from experimental data and the results are quite good.

本文利用已发展成熟的弹性波理论，针对均质等向性弹性体，以所得的理论正解作为反算过程中的正算解，并利用一种几何搜寻的最佳化方法同时反算材料参数及厚度，反算过程中所使用的材料参数均为未知，仅须给予几组材料的预测值。

Based on the analysis of the influence to the testing result induced by the roller parameters, such as the diameter, attachment coefficient and locating angle, the thesis proves that, through construction of a mechanics model of the rig to calculate the biggest braking forcing which can be detected, the detectible braking force has a direct ratio with the roller attachment coefficient and a inverse ratio with the cosine of the locating angle.

在分析了汽车滚筒反力式制动检验台的滚筒直径、滚筒的附着系数及安置角对检测结果影响的基础上，通过建立力学模型计算汽车滚筒反力式制动检验台所能检测到的最大汽车制动力得出结论：汽车滚筒反力式制动检验台所能检测到的制动力与滚筒的附着系数成正比，与安置角的余弦成反比。

From the point of view of inverse problems in mechanics, two trains of thought for solving ICS/IBS computative problems, i. e: by means of intelligence computation method without geometrical modeling and by the aid of finite element inverse analysis method with geometrical modeling, are expounded.

从力学反问题的角度出发，阐述了智能桥梁结构的智能计算问题的两种思路——无模型力学反问题的计算智能法解决思路以及有模型力学反问题的有限元法解决思路。

Results of XRD,SEM,and UV-Vis indicated that ZnS nanocrystals can grow in and fill in the void of opal template,and SiO2 microspheres of templates are dissolved so as to form some three dimensional ordered porous structure and to form the inverse opal ZnS photonic crystals. Compared with opal templates,ZnS-opal and inverse opal ZnS photonic crystals assembled with SiO2 spheres in the same diameter show good optical properties and exhibited photonic band gap. The photonic band gap position of inverse opal ZnS moves towards UV area compared with opal and ZnS-opal.

结果表明：溶剂热法多次充填可使ZnS纳米晶在模板密堆积形成的空隙中均匀成核；经过酸处理的ZnS-opal中SiO2微球溶解、坍塌，形成蜂窝状三维有序介孔和反opal结构ZnS基光子晶体；相同粒径SiO2微球组装的opal模板、ZnS-opal以及反opal结构ZnS光子晶体均表现出光子带隙特性，但反opal结构ZnS光子晶体带隙位置相比前两者发生了蓝移。

At first, the conventional elastic parameters inversion based on Shuey formula and simplified Shuey formula is discussed for the model of Chinese and Mexican, and the errors of inversion elastic parameters is analyzed.

对于不同地区、不同深度的含气和含水砂岩等各种模型其反演参数的误差情况不同，并且利用不同的入射角度对应的反射系数反演的误差也相差很大，许多情况反演的误差甚至非常大，没有一定的规律可循。

Based on conducting P/S wave joint inversion formula and ascertaining the inversion process, we make the P/S wave inversion of some seismic line of Sulige gas field, obtain the P wave impedance, S wave impedance and the V/V and limit distribution range of low speed mudstone, tight sandstone and effective sandstone respectively.

据此，在推导纵横波联合反演公式和确定反演过程的基础上，对苏里格气田某测线进行纵横波联合反演，得到纵波阻抗、横波阻抗和纵横波速度比，从而确定了低速泥岩、致密砂岩与有效砂岩的分布范围。

The digital signal method is a discrete deconvolution technology.It uses the shape-factor to create the forward equation of subdivision interpretation,and the discrete signal anti-filtering technology to get the inversion equation and the general formula for numerical solution of quantitative radionuclide content.

本文提出的数字信号法是一种离散反褶积法，它采用形态系数创建分层解释正演方程，利用离散信号反滤波技术求得反演方程及定量核素含量的数值解通式。

Base on the threshold voltage model presented, an intrinsic drain current model in strong inversion region is developed, which can describe the short-channel effects such as DIBL and charge-sharing effect well, and give special considerations for mobility, velocity saturation, channel length modulation and quantum effect. Based on the front interface surface potential model, a formula of unified inversion charge is derived, and an intrinsic drain current model in middle inversion region is developed.

利用所提出的深亚微米FD器件正、背界面表面势模型，建立了一个能够完整描述深亚微米FD器件本征亚阈漏电流特性的模型，能够准确地描述DIBL效应和背沟道漏电效应；利用所提出的阈值电压模型，建立了深亚微米全耗尽器件的本征强反型电流模型，很好地描述包括DIBL效应、电荷分配效应在内的小尺寸效应，对迁移率、速度饱和效应、沟道长度调制效应和量子效应进行了特别的考虑；利用所提出的深亚微米FD器件正界面表面势模型，推导了统一反型层电荷公式，建立了深亚微米FD器件的本征中反型漏电流模型。

Based on the principle of inversion analysis , applications of inversion analysis in welding field including material properties, heat source model, boundary conditions were introduced.

在阐述了反演分析原理的基础上，介绍了国内外焊接领域，包括材料性能，热源模型，边界条件等问题中反演分析的应用，及反演分析各种算法的原理及特点。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。