构造上

On the basis of the conversion relation of inverse matrix and adjoint matrix, by using 1/ω instead of |B'(xBx(subscript k|, a new Landweber iteration formula x(superscript δ subscript k+1)=x(superscript δ subscript k)-ωB'(x(superscript δ subscript k)Bx(superscript δ subscript kB'x(superscript δ kf(x(superscript δ subscript k)-y(superscript δ)is constructed for solving rank deficiency nonlinear least squares problem, with which the phenomenon that leads to ill-posed problem because the iteration matrix is rank-deficient and very ill-conditioned in numerical iterative process is avoided.

基于逆矩阵和矩阵伴随算子的换算关系，并用1/ω代替|B′(xBx(下标k|，构造出一个新的求解秩亏非线性最小二乘问题的Landweber迭代格式，x(上标δ下标 k+1)=x-ωB'(xBx(上标δ下标 k*B'x(上标δ下标 kf(x-y，从而避免了在迭代过程中由于迭代矩阵的秩亏和病态而产生的不适定现象。

The reservoir-forming model of Huizhou Sag is almost two-step according to reservoir-forming stage, and there are single-source and two-source reservoir according to oil sources. There are three reservoir-forming models of abrupt slope type, apophysis type and gentle slope type according to structural form.

惠州凹陷的油气藏成藏模式，从成藏期次上分多为两期成藏，从油源上分有单油源和双油源两种成藏模式，构造形式上有陡坡型、隆起型和缓坡型成藏模式。

Ringel realized positive parts of semisimple Lie algebras in the framework of Ringel-Hall algebras. The main result of this thesis is to build a geometric and topological model over triangulated categories such as derived categories and stable module categories of repetitive algebras. We defines a Lie bracket by Euler characteristics of constructible subsets and thus realizes infinite dimensional Lie algebras of various types with non-degenerated bilinear form.

本文的主要结果是在导出范畴和重复代数的稳定模范畴等三角范畴水平上建立相应的几何-拓扑模型，并利用相应可构集的欧拉示性数定义了一个Hall代数的交换子乘法，从而在三角范畴水平上实现了一大类无限维李代数的整体构造，并且这类李代数本质上都具有非退化的不变双线性型。

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Furthermore,we consider the relations between the general linear groups and the corresponding BN-pairs and show that they satisfy a commutative diagram of groups.In Chapter 2,we study the structure of unitary groups over finite group rings R and its applications.

第一章考虑任意局部环上典型群的BN-对问题，构造了局部环上一般线性群、辛群、正交群的BN-对，并且证明了局部环上一般线性群与对应的BN-对之间满足群交换图关系。

At first, the examples are given to explain a new method in signal processing, in which functions are defined from the viewpoint of multi-scale analysis. Then the authors present "coordinate heft separate" method, discover self-similar structure of points set on plain area; based on this self-similar structure, construct orthogonal complete 2-value function system of high-dimension simplicity; enrich and extend the theory and application of Rademacher function and Walsh function.

首先，举例说明在多尺度分析观点下，信号处理中某些函数定义的新方法；进而提出"坐标分量分离方法"，并由此发现了平面区域上点集坐标数值的自相似结构；在揭示了如此自相似结构的基础上，构造了高维单纯形上的正交完备的二值函数系统；丰富与推广了Rademacher函数及Walsh函数的理论及应用。

Based on this, to avoid using the Green′s formula on infinite domain, an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained.

在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

The research results imply that the regional tectonic stress field has resulted in deformation and flow of upper mantle material with clockwise rotation,and make the alignment of upper mantle peridotite lattice parallel to the direction of material deformation. The deformation of the crust and upper mantle is possibly vertically coherent deformation.

研究表明青藏高原东北缘上地幔物质在区域构造应力场的作用下，发生了顺时针旋转的形变以至流动，使得上地幔中橄榄岩的晶格排列方向平行于物质形变或流动方向，上地幔变形和上覆地壳变形可能存在垂直连贯变形特征。

This paper first analyses and summarizes the ststus quo and evolution trend of encryption, some common used cryptograph are introduced, including the algorithms used in symmetric cryptosystem and asymmetirc cryptosystem. We describe the theory of each algorithms and compare the elliptic curve cryptosystem with the other two asymmetric cryptosystems to show the advantages of this algorithm. Second, the principle of ECC is discussed, including the math foundation of ECC, basic conception of elliptic curves, constructiong idea of ECC, operation on the elliptic curve and so on. Third, the current attacks of ECC were analyzed deeply, and an algorithm based on limited prime number field was constructed. We analyzed its realizability in theory, and implement it by using certain function of MIRACL software package. Latter half in this paper, the implementation model of a simple elliptic curve encryption system which based on GF has been introduced. The paper also put a deep analysis on the algorithm of point addition and point multiplication.

本文首先对密码技术的发展现状及其发展趋势进行了分析和综述，详细的介绍了私钥密码系统和公钥密码系统的发展，说明各种算法的原理和优缺点，并给出了一些典型的密码体制的简要分析，重点将椭圆曲线算法与其它几种公钥密码算法比较，说明椭圆曲线算法的优势；其次，探讨了椭圆曲线密码体制的原理，包括椭圆曲线密码的数学基础、基本概念、椭圆曲线密码体制的构造思想等问题；第三作者对椭圆曲线的攻击现状作了详细的分析，针对所使用的大素数域F_p，设计了素数域上安全椭圆曲线产生的算法，从理论上做了可实施性分析，从软件上做了具体实现；在本文的后半部分，提出了一个简单的基于有限素数域上的椭圆曲线加密方按算实现模型，并对SECES中设计的点加和点乘运算进行了深入分析。

Such doubts havesitimulated the researchers'curiosity and start to explore the students' terms This research proceeds by observation interview test using learning sheets and etc The purpose is to explore students' terms of scientific concepts sources of terms connections between students' usage nomenclature and chooses of usage The results of the research are as follows: 1 There are five kinds of naming principles for students' terms of scientific concepts: appearance habit function replacing and sound Appearance principle contains three categories: color shape and partial construction; habit principle contains custom and ability; replacing principle contains reality and non-reality 2 Students' terms of scientific concepts come from two ways: self-acquisition and learning through senses The former way is only a bit more common than the latter 3 There are three different relationships between students' usage of terms and nomenclature: one both the same in usage and meaning; the other both different; another different usage but the same meaning Normally terms that students used are various from nomenclature in the aspects of usage and meaning only a few would match and even rare for "Synonyms" to occur 4 Alternative options for students' scientific terms are maintenance adaptation or co-existence with formal scientific terms The most common way of selecting usage of terms is to maintain Sometimes students would adapt themselves once learn of scientist's term However some believe that very odd chances for both could exist at the same time

这样的疑问深深引起研究者的好奇，著手探索学生科学概念所使用的语言。本研究透过观察、访谈、学习单施测等方法来进行，目的在探讨学童在科学概念上所使用之学生惯用语、学生惯用语来源、学生惯用语与科学家用语之关联性、学生惯用语选择。研究结果如下：一、学童在科学概念上所使用之学生惯用语的命名原则有五种：外型、习性、功能、藉代称呼及声音，其中外型原则有颜色、体型及部份构造三类目，习性原则有习惯及能力两类目，藉代称呼原则有实体及虚拟两类目。二、学童在科学概念上所使用之学生惯用语有两种来源，分别为自己称取和听来。学生惯用语来源较多为自己称取，透过其他方式听来少一点，但两种来源的比率差距甚小。三、学童在科学概念上所使用之学生惯用语和科学家用语的关系有三种，分别为用语意涵均相同、用语不同意涵相同和用语意涵均不同。学生惯用语通常和科学家的用语是不同的，且其意涵也不同，只有部份学生惯用语和科学家用语意涵均相同，至於学生惯用语和科学家用语不同但意涵相同的极少。四、学童的科学概念相关学生惯用语选择有三种，分别为维持学生惯用语、改变成科学家用语和科学家与学生惯用语皆可。学童的科学概念相关学生惯用语选择，以维持学生惯用语最多，而有些时候学生会在得知科学家的用语后改变成科学家用语，但认为科学家用语和自己使用的学生惯用语皆可的则很少。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。