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In this thesis, the results of extremal work path theory are adopted, and the FEM based on deformation theory is formulated. The Inverse Finite Element Approach in sheet metal forming is studied in detail, and an Object-Oriented Finite Element Analysis program is developed, which provides rapid and effective means for stamping process planning and die design.

本文运用极值路径理论推导出基于形变理论的有限元公式，研究了钣料成形有限元逆算法，开发了面向对象的有限元分析程序，为冲压工艺和模具设计提供了快速有效的分析手段。

In chapter three, we first give the definition of quadratic automata (3. 6 definition), then study their invertibility. 3. 10 theorem gives a sufficient and necessary conditions for weak inverse quadratic form finite automata, and a way to find the one whose weak inverse is quadratic form finite automata.

第三章首先构造了二次型有限自动机类（3.6定义），研究其上的可逆性理论。3.10定理给出了弱逆二次型有限自动机的充要条件及弱原逆的求法、3.12定理则给出了弱可逆二次型有限自动机的充要条件及弱逆的求法。

Establish integrated invertibility theory over it: By R〓R〓 transformation method, we solve the problem of deciding weakly invertibility and finding weak inverse, By founding the bijections between all quadratic form automata and input memory linear finite automata, we find a algorithm to produce all weak inverse quadratic form finite automata.

本文着眼于这些最基本问题，将有限域上的二次型和置换多项式理论引入有限自动机可逆性的研究，构造了一类由二次型构成的非线性有限自动机（3.6定义），称之为二次型有限自动机，我们在其上面建立了与线性有限自动机可逆性理论相对应的完整的可逆性理论：采用线性R〓R〓变换方法，解决了此类有限自动机的弱可逆性判定、求弱逆问题（3.10、3.12定理）、通过建立全体二次型有限自动机与全体输入存储线性有限自动机之间的保持弱逆性的一一对应，给出了产生全部可逆二次型有限自动机的方法。

How to calculate the synthesis operator is the key problem of controlled illumination prestack depth migration. In this paper the inverse time focusing operator is synthesized based on the traveltime calculation method of finite difference approach, and with this synthesis operator the authors calculate the focusing point controlled illumination prestack depth migration using Fourier finite difference. The test results of Marmousi model show its effectiveness and the great advantage of improving computational efficiency.

进行控制照明叠前深度偏移的关键是合成算子的选择，笔者基于有限差分的走时计算方法合成了逆时聚焦算子，基于该合成算子利用傅里叶有限差分法进行了聚焦点控制照明叠前深度偏移，针对Marmousi模型的试算结果表明了该方法的有效性及其在提高计算效率方面的巨大优势。

Deterministic irreducible polynomial and primitive polynomial over finite rings, i. e. polynomial rings with coefficients in finite fields, are obtained.

在系数属于有限域的多项式环即有限环上，给出确定型的不可约多项式和本原多项式。

3D finite element model of concrete pavement in transverse joint with dowel bar s or without dowel bar s is established by 3D finite element numerical analysis method.

建立接缝无传力杆及设传力杆时水泥混凝土面层结构的三维有限元模型，运用数值分析方法，分析接缝处水泥混凝土面层的荷载应力、弯沉值和弯沉差，研究了地基模量、传力杆直径对荷载应力及弯沉差的影响规律，并对条件相同的计算结果进行了对比分析。

Based on the characteristics of structure and loading of the cylinder compress coil spring, the 3D finite element analyzing model of the cylinder compress coil spring in utility is established, and the finite analysis under the static and dynamic loading and life prediction are completed.

在充分考虑圆柱压缩螺旋弹簧的受力及结构特点的基础上，建立了比较符合实际的三维有限元计算模型，并对压缩螺旋弹簧进行了动静态有限元分析，获得了弹簧的刚度，进行了静强度校核、疲劳寿命估算和模态分析。

A methodology to connect microscopic finite element model to macro model is proposed, which is important to carry out multiscale finite element analysis of stuctures.

在有限的计算条件下，为了尽可能的提高结构有限元分析的精度，本文引入了有限元多尺度计算方法。

For the multidimensional representation of finite fields, we define a new Mannheim distance, under which codes over finite fields are discussed.

对有限域的任意多维表示，定义了一种Mannheim距离，并在这种距离之下讨论了有限域上的线性分组码。

Finite element method is based on numerical calculation with the help of matrix and material mechanics and other knowledge, which is widely used in structural analysis ANSYS is a big finite element software integrated with structure, fluid, electric and magnetic field.

有限元法是借助矩阵、材料力学等知识，在结构分析中得到广泛运用的数值计算方法，ANSYS是融结构、流体、电场、磁场分析于一体的大型有限元分析软件。

I'm going tor her!

我这就去救她！

As rise are design to help keep a several toney , a brain chemical at continues lever.

SSRI被设计来帮助保持血液中的复合胺即在大脑中一个连续水平的化学物质。