构造上的

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。

Small structure of oil reservoir and thin interbedded are find.

提出将小波神经网络边缘检测算法应用到地震剖面图像的特殊处理上，提高对油藏的分辨率，从而寻找地下小的含油构造和薄的储油层，使计算机能更准确地再现地下油藏的构造形态，提高勘探的精确度。

The main results are as follows:(1) In Chapter 2, the proof of the main theorem on quadratically related m-geometric sequences in [5] is simplified and consummated; A family of GMW-geometric sequences derived from GMW sequences are constructed, and their correlation functions and linear complexities are given.

本文也正是从扩频码序列的相关性能和安全性的角度来构造和研究了几类扩频码序列集合，得到以下的结论：（1）第二章首先简化并且完善了文献[5]中关于二次相关m-几何序列的主要定理；其次，在GMW序列的基础上构造了GMW-几何序列，计算了GMW-几何序列的相关函数；最后给出了GMW-几何序列的线性复杂度。

The results are shown as below.1 Tectono-thermal evolution: The history of the Songliao basin is divides into four stages, high-temperature doming and extension, high-temperature rifting, low-temperature depression, and low-temperature shrinkage. Numerical simulation of mechanical process shows that the basin appeared in the early- to late- Jurassic as a result of rapid low-angle subduction of the Pacific plate towards the northwest, of movement of the Siberian block towards the southeast, of many other influences such as internal thermal stress in the mantle, gravitational force, stress of phase transition, etc. Both the Pacific plate and the Siberian block slowed down in the early Cretaceous, and almost stopped in the middle Cretaceous with the rapid decrease of abnormal heat in the mantle below.

盆地构造热演化力源机制数值模拟研究表明：早、中侏罗世至晚侏罗世晚期，盆地演化主要是太平洋块体向北西方向以低角度快速俯冲和西伯利亚块体向东南俯冲共同作用的结果，同时也与地幔内部热力、重力、相变力以及地球自转及公转速度变化效应和上覆块体绝对运动的作用有关；早白垩世早期至早白垩世中期，来自东部太平洋块体俯冲作用的减弱，而这一时期影响盆地演化的主要力源是地幔内部热力、重力、相变力以及地球自转及公转速度变化效应和来自西伯利亚块体俯冲作用；进入早白垩世晚期至晚白垩世早期，由于双重俯冲带中西侧俯冲作用带基本停止活动，而本区地幔热能的快速衰减则控制盆地的构造热演化；晚白垩世晚期以后，太平洋块体活动加强和地幔热运动是影响盆地演化的主要动力。

However, to construct a tensor product orthonomal wavelet basis in L〓, 2〓-1 different functions are used. Furthermore, it is concluded that the family, obtained by dilations and translations from this radial wavelet as well as their linear combinations, can constitute an orthonomal basis in L〓. The conclusion is a major breakthrough in multidimensional wavelet analysis.

从而得到：由一个径向小波的伸缩、平移系及其线性组合可以构成n维平方可积函数空间L〓的规范正交基，这个结果将当前利用张量积方法构造n维正交小波基所需要的2〓-1个不同的函数降为仅需要一个径向小波函数，这在理论上是一个重大突破；构造了同时具备局部支撑和无穷次连续可微性质的高维不可分小波的例子，这是不同于I。

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。

In practical study, the essential flow is""on the basis of the study of the faults, strata denuded thickness and original thickness, analyzing the controlling effect of the faults to the sedimentation and denudation, and combined with the areal geology background, reconstructing the basin prototype of each stage"". 2. As the basic theories and methods of the calculation of the denuded thickness, such as, the methods of cosmogenic nuclides, wave equation, apatite fission track, structural sections, acoustic wave, vitrinite reflection, etc, were argued detailedly , and their applicable ranges were analyzed , the denuded strata thickness of each structural layer layer of pre-Tertiary was reconstructed.

对宇宙成因核素法、波动方程法、裂变径迹分析法、构造横剖面法、声波时差法、镜质体反射率法等计算剥蚀量方法的基本原理进行充分论证、改进，分析了各方法的适用范围，在此基础上，综合充分运用上述方法，计算了济阳坳陷前第三系各构造层在不同时期的剥蚀量，绘制了中生代时期古生界顶面的地层剥蚀量等值线图、新生代时期古生界顶面的地层剥蚀量等值线图、白垩纪沉积时侏罗系剥蚀等值线图、新生代沉积期白垩系剥蚀等值线图、新生代沉积期侏罗系剥蚀等值线图等图件，并通过对古生界地层的热变质程度分析，确定了有1500～2000m的早、中三叠世的原始沉积地层在晚三叠世被剥蚀殆尽。3。

By studying the deformation and evolutionary sequences around the Panshan granitic pluton, east-central Yanshan orogenic belt, and 40 Ar/ 39 Ar thermochronological test and analysis,we present the structural evolutionary process of the overlying strata before pluton intruded as well as it was intruding. The sequences of regional deformation are as follows: before the intrusion of Panshan granitic pluton, the N-S trend contraction in the east-central Yanshan orogenic belt took place, which resulted in the regional EW-trending Malanyu multi-fold and Jixian thrust fault; then Panshan granitic pluton intruded into the south limb of the Malanyu multi-fold and cut-through the Jixian thrust fault; later, the reactivity of the Jixian thrust fault cut off the synclines around thePans han granitic pluton.

通过对燕山东段盘山花岗岩岩体周缘构造变形特征、演化过程的研究，并结合40Ar/39Ar 热年代学测试和分析，提出盘山岩体侵位前、侵位时其上覆岩层的构造演化过程：三叠纪末(210-200 Ma)盘山岩体侵位前，燕山中东段受南北向挤压作用形成了近东西向的马兰峪复背斜和蓟县逆冲断裂；盘山岩体侵位于先期形成的马兰峪复背斜南翼，并侵蚀了蓟县断裂；蓟县断裂的后期再次活动截切了盘山岩体的周缘向斜。

If you will try to form a notion of yourself, of the sort of a something that you suspect to inhabit and partially to control your flesh and blood body, you will encounter a walking bundle of superfluities: and when you mentally have put aside the extraneous things—your garments and your members and your body, and your acquired habits and your appetites and your inherited traits and your prejudices, and all other appurtenances which considered separately you recognize to be no integral part of you,—there seems to remain in those pearl-colored brain-cells, wherein is your ultimate lair, very little save a faculty for receiving sensations, of which you know the larger portion to be illusory.

假如你试图构造出一个&你自己&的概念，构造出你觉得是在占据并部分控制你血肉之躯的这么一个东西的概念，那你就会遇上&一副行走着的皮囊&要你处理：你在脑海里会想着把这些与&你自己&无关的东西——衣裳、四肢、躯体、后天习惯、口味、先天特征、个人成见、以及分离之后你认为不是构成&你&所必需的其他部件——通通剔除出去，剩下珍珠般灰白色的脑细胞，就是&你&的老窝，但是残存其中的，除了知觉功能，好像就所剩无几了。而你知道，知觉又多半是虚幻之象。

Thirdly, it analyzes and studies in detail Surpac mechanism and the relevant concepts on constructing the model of mineral deposits and mining engineering systems according to the modeling procedure and the actual conditions of Jinchuan"s mines. Based on these:Lit points out some differences between the western countries and China in the practice of the geological data record, explores the inputting data on computers performed by more people at the same time and the method to improve constructing the data-base and finished the data-base of Jinchuan mineral deposits;2.It puts forward the steps and flow chart to construct the solid model and brings forward the scheme of "first individual then whole to set up Jinchuan mineral deposits geological model, summarizes some experiences for constructing the complicated geological ore body of the high accuracy: add control lines, add auxiliary demarcation lines +control lines, the operation of intersection, cross and incorporation between solid bodies and plane and section combination. The above-mentioned methods applied to construct the mineral deposits solid models of four mine areas in Jinchuan; 3.lt studies and presents the detailed flow chart of constructing block and grade model, analyses the workable scheme in setting up the block and grade model of main ore body for Jinchuan mineral deposits and also sets it up.

接着，按建模流程并结合公司矿山实情，详细研究、分析了Surpac构造矿床模型和采矿工程系统模型的机理、有关概念，在此基础上：(1)指出了西方国家与我国在地质数据记录习惯方面存在的一些差异，探索出多人多机同时录入、提高建库效率的方法，建立了金川矿床地质数据库；(2)研究并提出了构造实体模型的步骤和流程图及&先分后整&建立金川矿床地质体实体模型方案，总结出建立高精度复杂地质体模型几点经验：添加控制线法、添加辅助分界线+控制线法、实体间的交、叉、并运算法及平剖面图联合法，建立了金川矿床四个矿区主矿体的实体模型；(3)研究并提出了建立块模型、品位模型详细流程图，分析了建立金川矿床主矿体块模型和品位模型的可行方案，建立了金川矿床主矿体的块模型和品位模型。

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。