可和函数

This paper proposes an universal e-cash system based on partially blind signature which can be divided to small pieces of arbitrary number one time, so-called single-divisibility.

针对通用电子现金系统的难点在于其可分性，本文提出的方案以SK00系统为基础，实现其转移性(SK00公开问题)，并给商家颁发电子执照行使银行的部分职能，进而提出了一个显式可分(即一次性任意分割电子现金)的离线电子货币系统；同时利用以前的技术实现了一个采用树型结构的可分电子现金系统，并比较了这两个方案和以前方案的效率；二者安全性基于离散对数问题和强无碰撞Hash函数安全性；最后本文利用代理签名给出了一个新的部分盲签名方案。

The examples indicate that the unkown line parameters can be estimated faster and more accurately with the proposed objective function and SPSO and the solving procedure relies less on the augmented jacobian matrix.

仿真算例表明：修正目标函数和SPSO算法能快速准确地估计线路参数，且可提高估计准确度和降低对量测系统参数可估计性的要求；取连续多次估计的均值，则可减小量测误差导致的参数估计偏差。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

Our analysis framework relies on the reflected Backward Stochastic Differential equation approach.We characterize the value functions of the noncallable bonds in terms of the reflected Backward Stochastic Differential equation,Then the relationship between the value function of convertible bonds and reflected backward stochastic differential equations with single reflect is built at the same time,and provide the optimal conversion strategy for bondholders.2:We get the value of non-callable convertible bonds by numerical methods.

探讨了可转换债券的最优停时价值与带反射边界倒向随机微分方程解的关系，在市场完备，公司价值只包括股权和可转债这两种权益等各种假定下，给出不可赎回可转换债券的价值函数，证明了不可赎回可转换债券的最优停时问题的解是存在的，同时给出了其最优的转换策略。2：通过数值方法求解不可赎回可转换债券的价值。

For the one-dimensional p-Laplacian with indefinite weights, four sequences of periodic and anti-periodic eigenvalues are given by introducing the rotation number function, and these eigenvalues are the endpoints of the preimage intervals of the rotation number function at nonnegative integers.

本文以带变号权函数和带变号势函数的一维p-Laplacian为基本模型，系统地阐述了特征值的旋转数方法、带正权Dirichlet特征值的最佳估计、特征值在正则和奇异渐近半线性方程的可解性中的应用、Fucik谱的旋转数方法以及Fucik谱在周期解的扭转性和多解性中的应用。

The main achievements of the project are as follows: 1 the hypothesis that a decrease in seed mass causes an increase in mean dispersal distance has been tested based on the experiments of weed dispersal by wind. The experimental results partly support the hypothesis. The results will help farmers to make an optimal strategy of weed control; 2 a statistic method for inferring probabilistic distribution function of a random variable has been developed, by which probabilistic distribution functions of weed species dispersal have been determined; 3 the reproduction structure of Bromus sterilis has been studied; 4 a more complex CA model with 25 neighborhood cells were built, which can simulate spread of a weed population. This work promotes developments in both theory and application of CA models; 5 the "mean law" in weed control has been proposed. Accordingly, the algorism of patch spring may be calibrated; 6 the "patch" and "true patch" have been mathematically defined so that herbicide can be efficiently applied; 7 simulation validates that initial configurations of weed will affect dispersal of its population and strategies of controlling it, or its distribution patterns affect its dispersal progresses.

主要完成的工作和取得的成果有：1）用实验证实了重量较轻的杂草种子并不一定飞得比较重的远，其结果有助于农民制订杂草的优化控制策略；2）发展了一种推断随机变量分布函数的统计方法并用它来获得了几个杂草种的扩散分布函数；3）对杂草Bromus sterilis的繁殖结构进行了研究；4）建立了一个具有25邻的较复杂的能模拟杂草扩散的CA模型，并在理论和应用方面促进了CA模型的发展；5）在杂草控制方面提出了&平均法则&，据此可对按块施药方法进行校正；6）精确地定义了&块&和&真块&以便在杂草控制中能更有效地使用除草剂；7）模拟证实杂草种群的初始配置影响其扩散和控制策略，或者格局影响过程。

Based on the analysis of the Jahn-Teller effect, vibronic interaction and the resolution of group representations, the possible geometrical configurations of 〓 have been derived for the first time. The Gaussian-98 program has been used to optimize the geometrical configurations of 〓 based on B3LYP/6-311G method. It is found that there are at least six different stable geometrical configurations for 〓 The results show that the multiplicity of 2S＋1=7 for cluster 〓 is the most stable state among the eight geometry configurations.

基于多体项展式理论方法，研究得到了〓、HZrCo和〓三原子分子的分析势能函数，这些分析势能函数正确反映了它们的结构特点，可用于研究HZrCo、〓和〓的微观分子反应动力学。3从群的分解与直积理论出发，通过Jahn-Teller变形，vibronic相互作用以及群表示的分解的分析，首次导出了Jahn-Teller效应引起D〓和〓构型〓分子几何构型变化及其可能的电子状态。

On the approximate uncorrelation property of DWT coefficients of LMSV process in the same scale and different scales, first the quasi maximum likelihood estimation method of parameters and the estimation method of volatility process of LMSV model are presented.

根据小波变换可将过程分解到不同的尺度上以及LMSV过程同一尺度下和不同尺度下DWT系数的近似不相关性，提出了建立局部似然函数的方法，又根据DWT系数和MODWT系数之间的关系，将局部似然函数表示为模型参数和局部小波方差估计的形式，并用该方法对中国股市收益进行了时变LMSV模型参数的估计。

Changing formula forms of single-shear, twin-shear and three-shear yield strength criteria, show that many of yield strength criteria of rock and soil materials can be expressed by the τ8 = gf function forms unter the ordinary condition, and that the main differ ences of yield strength value will mainly forcus on the different function forms of gθσ among single-shear, twin-shear and three-shear yield strength criteria.

对岩土体常用的单剪屈服强度准则、双剪屈服强度准则和三剪屈服强度准则进行了系统的论述，通过对单剪、双剪和三剪屈服强度准则进行转化，指出岩土的屈服强度准则一般可表达为τ8=gf的函数形式，阐明了单剪、双剪和三剪屈服强度准则的差异主要表现在g函数的不同，并进一步解释了中间主应力σ2对岩土类材料屈服强度的影响。

Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.

本文引入三个位移函数，将球面各向同性弹性力学运动方程，简化为关于ψ的二阶偏微分方程，和关于W和G的联立方程。在静力学问题中，联立方程可进一步简化，w和G可用另一位移函数F表示，而F满足一个四阶偏微分方程。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。