构造上

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The concept of Generalized Fibonacci Queue is presented, based on which, the construction of module affine transformation is resolved.

研究了仿射模变换的构造问题在第3章提出了广义Fibonacci序列的概念，在此基础上，成功地解决了整系数的仿射模变换的构造问题。

We also show that thc linking C~*-algcbra of the TRO-univcrsal free product of two TRO\'s is~*-isomorphic to thc universal free product of the linking C~*-algcbras of thc two TRO\'s.In addition, inspircd by thc concept of full amalgamated frcc product of C~*-algebras, by using thc full amalgamated free product of thc linking C~*-algcbras of ternary rings of operators,we introduce the definition of TRO-full amalgamatcd free product,and give its construction,which is provcd to satisfy the univcrsal propcrty.

另外，受C~*-代数全融合自由积概念的启发，利用算子三元环的连接C~*-代数的全融合自由积，本章把全融合自由积的概念扩展到了算子三元环上，引入了算子三元环全融合自由积的定义，给出了它的一个构造，证明了这种构造(来源：ABC论文3b3b3b网www.abclunwen.com)的确具有"泛性质"，并且证明了两个算子三元环的TRO-全融合自由积的连接C~*-代数*-同构于这两个算子三元环的连接C~*-代数的全融合自由积。

The present digital water level recording may possibly lose some information,so large earthquake caused abnormal change of water level recorded by analog recording is clearer than that by.

认为：目前的水位模拟记录较数字化记录能更清晰地看到巨大地震引起的水位异常变化过程；大震引起的水位上升和下降可能是地震波的作用改变了构造单元的应力所致，并与井点的地质构造部位有关；同一井孔对同一断层上破裂方式一致的大地震的响应方式是一致的，只是对震级大的地震响应幅度大，震级减小，响应幅度亦减小

Based on detailed study on structural characteristics and reservoir distribution of Taiyangdao-Kuihuadao fractured anticlinal structural belt, through analysis on gas type and genesis, this paper summarizes the geological rules of reservoir formation of this area so as to provide theoretical evidence for further exploration.

摘要在对太阳岛－葵花岛断裂背斜构造带构造特征和储层分布进行精细研究的基础上，通过对该区天然气类型和成因研究分析总结了该区成藏地质规律，为该区的进一步勘探提供了理论依据。

On the basis of collecting systematically the materials of the physical prospecting, the geological drilling and the water pumping experiment of the mine, geological structure ,aqui- fers and other hydrogeological condition of the minefield have been detailedly researched. Finally, the conclusions that geological structure of the mine is ***, aquifers belong to the aquosity small rock layer, hydrogeological condition is ***, were drawn.

在系统收集该井田矿井物探、钻探和抽水试验资料的基础上，对井田内地质构造、各含水层等水文地质条件进行了具体研究，得出结论为矿区地质构造简单；含水层属于含水性弱或微弱的岩层；水文地质类型为中等。

By the single zircon U Pb dating method, the quartz syenite porphyny yielded an age of concordance (1 731±29)Ma, and the aegirine augite syenite and syenogebbro are dated upper cocordi...

应用单锆石U Pb法测定年龄，石英正长斑岩谐和年龄为( 1731± 2 9)Ma ，霓辉正长岩、正长辉长岩上交点年龄分别为( 1644± 14)Ma、( 1750± 65)Ma.1650～ 170 0Ma是碱性岩浆活动热构造事件的标志，石英正长斑岩被中元古代晚期的高山河组不整合覆盖，故以 1650～ 170 0Ma作为熊耳群的上限。1650～ 170 0Ma热构造事件是华北地块重大地质事件，有可能是进一步划分中元古代重要的年龄界限。

The new algorithm provides one new strategy to construct and block non-loop network to get more augmenting path.

该算法实质上提供了一个构造、阻塞无环网络的策略，它可以在每次构造无环网络中得到更多的增载轨。

Provable Security is a formal method for proving the security of cryptographic schemes, in which the difficulty of breaking a particular scheme is formally related to that of solving a widely believed computational hard problem. Provable security has already become an important theme of theoretical researches in modern cryptography. This dissertation investigates the provable security of public-key encryptions and hybrid encryptions of asymmetric and symmetric encryptions. This includes the various formal security notions and the constructions can be proved to achieve them. Among the constructions, hybrid encryptions are themselves an important way to obtain public-key encryption schemes with chosen ciphertext security. The main results are as follows:(1) The one-wayness of the trapdoor one-way function in NTRU depends on the randomness of the session key, which is different from previous ones. Based on this observation, a new kind of trapdoor one-way function, trapdoor one-way functions with an auxiliary random variable is proposed.

可证明安全性是一种证明密码学方案安全性的形式化方法，它将密码学方案的安全性归约为公认的计算难题，已成为现代密码学领域中理论工作的主线，本文主要研究公钥加密与单双钥混合加密的可证明安全性，这包括它们的各种形式化安全性定义以及达到这些安全性定义的方案构造，而单双钥混合加密本身也是一种构造选择密文安全公钥加密的重要方法，本文得到的主要结果如下：(1)在研究NTRU公钥加密的特殊性基础上，对于公钥加密的陷门单向函数加密模型进行了扩展，提出了具有辅助陷门单向函数的概念，并将其扩展到多元的情况，讨论了可能的密码学用途。

The organizations of biotope landscape and their development in Japan was introduced, the physical property structure of the environment and biotope landscape was elaborated, the structure of river was analyzed, and then the method of natural river landscape creation and the specific example of application was introduced.

在介绍日本生物生境相关组织的基础上浅析其在日本的开展状况，阐述环境及生物生境的物理性构造，剖析河川的环境构造、河川自然工法及其具体的运用实例。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。