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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。

Lastly, this paper discussed the invertibility of discrete nonlinear systems and the construction of ANN α-th order time-delay inverse system for the linearization and decoupling of discrete nonlinear system is proposed.

从逆系统理论的完整性出发，本文探讨了离散非线性系统的可逆性，并给出具有线性化和解耦能力的神经网络α阶时延逆系统的结构及其实现。

That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.

就是说，从离散度量空间到另一个有界度量空间的函数是李普希茨连续的，而任何从离散度量空间到另一个有界于 1 的度量空间的函数是短映射。

According to the LLA, the corresponding relationships are established between the trajectories of discrete time state and discrete time control vectors in the ergodic space.

在遍历空间中，建立了离散时间形式的溶质带演化轨线和离散时间控制矢量之间的对应关系。

Digital signature ; proxy digital signature ; discrete logarithmic problems ; elliptic curve discrete logarithmic problems ; elliptic curve digital signature algorithm

数字签名；代理数字签名；离散对数；椭圆曲线离散对数；椭圆曲线数字签名

To achieve better results,we make use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to establish relationship between the projection moments and the image moments,and then estimate the unknown projections from the known projections using this relationship.

提出一种新的投影数据估计算法，利用离散Radon变换和Tchebichef正交多项式建立图像矩和投影矩之间的关系，并用这种关系从已知投影数据中估计未知投影数据，达到提高重建图像质量的目的。

This paper presents a new method to estimate unknown projections. To achieve better results, we make use of the discrete Radon transform and a set of discrete orthogonal Tchebichef polynomials to establish relationship between the projection moments and the image moments, and then estimate the unknown projections from the known projections using this relationship.

提出一种新的投影数据估计算法，利用离散Radon变换和Tchebichef正交多项式建立图像矩和投影矩之间的关系，并用这种关系从已知投影数据中估计未知投影数据，达到提高重建图像质量的目的。

The algorithm is proved to be convergent theoretically and implemented for numerical calculation.Thirdly, two kind problems of multi-unit system maintenance based on the discrete-state deterioration model are analyzed:To achieve the optimization aim of series system consist of two types of units with different failure mode, an opportunistic policy is presented to combine the corrective and condition-based maintenance. The optimal model based on this policy is built and an iteration algorithm based on sequential decision is proposed according to the characteristic of discrete-state deterioration model.

第三、在部件优化分析的基础上，针对基于离散状态劣化模型的多部件系统视情维修决策中的两类典型问题，提出了相应的机会维修策略和优化分析方法：(1)针对串联系统由分别采用视情维修和事后维修的两类部件组成的情况，提出了一类事后维修与视情维修相结合的机会策略，建立了相应的多部件系统维修优化模型，并根据离散状态劣化模型的特点，提出了一类基于序贯决策的求解方法。

The Discrete Logarithm Problem was analyzed. Based on the discrete logarithm in the prime field, and combined with the elliptic curve DLP in the limited domain, a new digital signature was brought up.

分析了离散对数问题，以素数域上的离散对数为基础，同时结合有限域上的椭圆曲线离散对数问题，提出一种新的数字签名方案，其安全性建立在离散对数算法上。

The first kind of the digital signature schemes is based on the discrete logarithm problem and second kind of the digital signature scheme is based on discrete logarithm and factorization problem, the third kind of the digital signature schemes is based on quadratic residue problem.

本文第一章对数字签名方案进行分类，根据数字签名方案所基于的数学问题，将签名方案分为：基于离散对数问题的数字签名方案，基于素因子分解问题的数字签名方案和基于二次剩余问题的签名方案。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。