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Additionally, in the process of calculating reliability index, the rational polynomial technique was introduced to solve the derivative problem of non-linear and inexplicit performance function.

在可靠指标的求解过程中，引入了有理多项式技术，解决了隐式求导的问题。

The EMM is suitable for the case that all F-type influentially uncontrollable subnets are normalized cascade Petri nets, and the advantage is that control patterns can be on-line computed within polynomial times.

各序状子网要么是无环网，要么是状态图的场合，该方法的优点在于在数学上有一标准的求解工具。

The CTM is suitable for the case that all E-type influentially uncontrollable subnets are state graphs, and the outstanding virtue is that the designed controller is explicit. The EMM is suitable for the case that all F-type influentially uncontrollable subnets are normalized cascade Petri nets, and the advantage is that control patterns can be on-line computed within polynomial times.

约束变换法适用于所有E-型影响不可控子网为状态图这种特殊的场合，用该方法所综合的控制器最大的优点在于所获得的控制器是显式的；特征标识法适用于所有F-型影响不可控子网为规范化序状Petri网这种场合，用该方法设计的控制器在线运算工作量是多项式可解的。

Let OKbe the integral closure of the polynomial ring A = Fq in K, and UK be the group ofunits of OK .

设OK为多项式环A = Fq在K中的整闭包， UK为OK的单位群。

The paper available mapping of integral coefficient polynomial and rational number, obtain

利用整系数多项式与正有理数的对应，将多项式因式分解通过对真分数序列筛选的办法求得因式，给出了整系数多项式因式分解的一种新方法。

This paper considers weighted estimate s of polynomial operator spectra by using the methods of integral,Rayleigh theorem and Schwartz inequality and establishes the inequality of upper bound of the(n+1) spectrum by depending on the former n spectra and the estimated coefficient is independent of the measure of the domain.

考虑多项式算子谱的带权估计，利用分部积分、Rayleigh定理、Schwartz不等式等方法，建立了用前n个谱来估计第n+1个谱的上界的不等式，且其估计系数与区域度量无关。

The temporary polynomial is exploited to save the intermediate result, and evaluations of polynomials are performed in the large-scale evaluation.

在上述研究的基础上，分析了逆向工程系统的开发方法和包含的软件模块，开发了软件原型系统。

This is for my use of polynomial interpolation method Fu procedures.

详细说明：这是我编的利用傅多项式插值计算法的程序。

How to construct Lagrange interpolation polynomial is quite important.

如何构造多元Lagrange插值多项式是十分关键的。

Polynomial interpolation in several variables is a subject which is currently an active area of research.

多元插值是目前热门的研究领域之一。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。