关于二项式系数倒数和幂和的渐近性

利用发生函数方法得到了涉及二项式系数倒数和幂和的恒等式并且应用发生函数的渐近计数方法给出了其渐近值.     

(3+1)-维广义随机KP方程的精确解

利用统一方式构造非线性偏微分方程行波解的广义Jacobi椭圆函数展开法和Hermite变换来研究(3+1)-维广义随机KP方程,给出了它的随机对偶周期和多孤子解.     

二维递归序列的渐近性

In this paper, we give precise formulas for the general two-dimensional recursion sequences by generating function method, and make use of the multivariate generating functions asymptotic estimation technique to compute their asymptotic values.     

Wick类型的随机广义KdV的精确解

利用埃尔米特变换求出了W ick-类型的随机广义K dV方程的精确解.这种方法的基本思想是通过埃尔米特变换把W ick类型的随机广义K dV方程变成广义变系数K dV方程,利用齐次平衡法求出方程的精确解,然后通过埃尔米特的逆变换求出方程的随机解.     

(2+1)-维Wick类型随机广义KP方程的类孤子解

利用埃尔米特变换和特殊的截断展开法求出(2+1)-维Wick类型随机广义KP方程的类孤子解. 这种方法的基本思想是通过埃尔米特变换把(2+1)-维Wick类型随机广义KP方程变成的(2+1)-维广义变系数KP方程,利用特殊的截断展开方法求出方程的解,然后通过埃尔米特的逆变换求出方程的随机解.     

批量到达带启动时间的单重休假M/G/1排队系统

本文研究批量到达带启动时间的单重休假的M／G／1排队系统，给出稳态队长的母函数和等待时间分布的LST及其它们的随机分解结果，推导出忙期、闲期和线期母函数和均值。     

随机广义KdV方程的随机精确解

通过一个辅助性方程和埃米尔特变换研究广义随机KdV方程的随机雅克比椭圆函数类波解.此外,还通过椭圆函数在模数取极限m→0和m→1的情况,给出方程的随机类孤子解和随机三角函数波解,所得结果丰富了广义随机KdV方程的精确解.     

大孔聚甲基丙烯酸缩水甘油酯固定化酶载体的合成及性能研究

选用反应性单体甲基丙烯酸缩水甘油酯，以N,N'-亚甲基双（丙烯酰胺）为交 联剂，甲酰胺为致孔剂，用反相悬浮聚合方法制得一系列珠状共聚物载体，通过测 定其表面的物化性能、表面的环氧基浓度和固定青霉素酰化酶活性，讨论了交联剂 用量、配比及合成条件对共聚物表面性能和固定化青霉素酰化酶活性的影响。     

Fast filtering algorithm based on vibration systems and neural information exchange and its application to micro motion robot

This paper develops a fast filtering algorithm based on vibration systems theory and neural information exchange approach. The characters, including the derivation process and parameter analysis, are discussed and the feasibility and the effectiveness are testified by the filtering performance compared with various filtering methods, such as the fast wavelet transform algorithm, the particle filtering method and our previously developed single degree of freedom vibration system filtering algorithm, according to simulation and practical approaches. Meanwhile, the comparisons indicate that a significant advantage of the proposed fast filtering algorithm is its extremely fast filtering speed with good filtering performance. Further, the developed fast filtering algorithm is applied to the navigation and positioning system of the micro motion robot, which is a high real-time requirement for the signals preprocessing. Then, the preprocessing data is used to estimate the heading angle error and the attitude angle error of the micro motion robot. The estimation experiments illustrate the high practicality of the proposed fast filtering algorithm.