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Up to now, the performance index is almost described as an algebraic function of manipulating variables, it implies the response of performance index to the manipulating variables is instantaneous or the system is in steady state, and the effects of disturbances on the objective function are not taken into consideration.

在以往的工作中,大都把过程的调优变量与目标函数之间的关系用代数方程描述,这意味着目标函数对调优变量的响应是瞬时的,或假定过程处于静态,而且一般也不考虑过程中其它干扰对目标函数的影响,即在算法结构中,调优变量与目标函数构成唯一的因果关系。

The traditional method is to transfer the differential equation into the algebraic equation via orthogonal function. This paper adopts the advantage of Slant function including:(1) The characteristic that Slant operational matrix of integration changes fast can simplify the question.

传统的特性技巧是透过正交函将微分方程式转换为一个代方程式,本文采用其优点有:(1)用Slant 积分运算矩阵快速转换的特性可以简化问题。

Software Description: XICalc is an integer calculator program with the following features: multiple precision integers with millions of digits; uses Hartley Transform to speed-up long multiplies; separate input and outputnotation, base 2 to base 36; greatest common divisor function; Modulo arithmetic options; Bernoullinumbers, Euler Numbers; Boolean functions; random number generator; prime factor algorithm using theElliptic Curve Method; number theoretic functions phi, sigma and tau; prime testing and searching using the Adleman function; algebraic notation; if-then-else statement; go-to statement; can run XICalc code from files; hot help from F1 key; and it抯 written in Microsoft Visual C#.

XICalc 是一款带有如下功能的综合性计算器软件:带有百万数位的多精度整数;使用 Hartley Transform 加速长整型多样化计算;以2到36为基数分隔输入和输出符号;最大公约数函数;模数算法选项;Bernoulli 数字;Euler 数字;布尔函数;随机数字生成器;使用圆周曲线算法的主要因素运算法则;π,τ,Σ的数字理论函数;使用 Adleman 函数的最初测试和搜索功能;代数符号;if-then-else 语法结构声明;go-to 语法结构声明;来自于文件的XICalc 代码;F1键的热点帮助;并且该软件是采用适用于 Windows 操作系统的微软 Visual C#。

What s more, we wonder whether there are some qualities about algebroid function corresponding to meromorphic func-tion,specially, concerning deficiency, characteristic function,differential polynomial and so on.

而且一些亚纯函数中存在的性质在代数体函数中是否相应存在仍有待研究,特别是涉及亏量、特征函数及微分多项式等方面。

Differential equation; uniqueness theory; meromorphic function; algebroid function; unit disc

基础科学,数学,数学分析微分方程;唯—性理论;亚纯函数;代数体函数;单位圆

algebroidal function ; uniqueness theorem ; characteristic function

最后,我们应用新定义的加法,将杨乐的联系重值的唯一性定理推广到多值的代数体函数。设A,,…,A。是定义在复平面C上的一组没有

Zhang proposed pseudo almost periodic function and pseudo almost periodic function sequence.

张传义教授提出了伪概周期函数和伪概周期序列。

The paper consists of two parts: one part concerns on the applications of almost periodic type functions, the other part concerns on remotely almost periodic function and slowly oscillating function and their applications.

本文主要包括两部分内容:一部分是关于概周期型函数应用的,另一部分是关于遥远概周期函数和缓慢振动函数及其应用的。

We consider Lienard equation X + fx'+ g =e and obtain that if and for any periodic function or almost periodic function e it has a periodic solution or almost periodic solution.

本文考虑Lienard方程x十fx'+g=e,我们得到:当且时,对于任意周期或概周期。数e,它有周期或概周期解。

For Lienard equation X +fx'+ ex = e, we obtain that if and for any periodic function or almost periodic function e it has a periodic solution or an almost periodic solution.

而对于Lienard方程x+fx'+cx=e,我们得到:当c>0且时,对于任意周期、或概周期函数e,它有周期或概周期解。

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