幂

In the PFD, both the differentials and non-differential terms in the differential equation are discretized, and the coefficients of the power series are determined by means of eliminating the truncation error of the corresponding modified scheme, then the high accurate difference scheme is obtained.

摄动有限差分方法在微分方程的差分近似中，离散微商项的同时，也离散非微商项，把非微商项摄动展开成网格步长△x的幂级数，并通过提高差分格式相应修正微分方程误差阶的方法求出摄动幂级数系数，从而获得高精度差分格式。

The paper gives a derivation rule of the power exponential function and analyzes some common calculation methods.

摘要证明了一条幂指函数的求导法则，并总结了幂指函数导数计算的常用方法。

On the basis of fitting the shell flight-time of anti-aircraft gun by integral exponential, this paper researches into the problem on changing the exponents of the parameter.

在高炮射弹飞行时间整数次幂拟合研究的基础上，用修改参数幂的次数的方法对拟合问题进行了研究。

This function is not a practical exponentiation routine, since it handles only positive powers of small integers, but it's good enough for illustration.

该函数并非一个实用的求幂函数，它只能处理较小的整数的正整数次幂，但这对于说明问题己足够了。

The large numer exponentiation algorithms is the key of RSA cryptography system,which is performed by a series of modular multiplication.

RSA算法的核心运算是大整数模幂运算，而模幂运算是由一系列的模乘运算构成。

Second,it also puts this new method to compute modular exponentiation and gives a Montgomery modular exponentiation algorithm based on slidsing window techniques.

然后将该方法应用于模幂计算，给出了基于滑动窗口技术的Montgomery模幂算法。

Computation of modular exponentiation is very low because of big plain-text group and cipher-text group,so this algorithm is of great significance to design fast algorithm of RSA and select public-key and private-key of RSA.

RSA算法中明文分组和密文分组都较大，方幂模运算消耗大量的运算时间。因此，简化方幂模计算减少计算次数对设计RSA快速算法和选择密钥具有重要的指导意义。

Through the operation of formal power series, we set up the expansion of Ar, a popularizing of the common polynomial theorem, where r is a non-zero real number.

通过形式幂级数A的幂运算，建立了Ar的展开式，这里r为非零实数，这是常见的多项式定理的推广。

In this thesis, we define the notions of μ-semirings, A-semirings,*-μ-semirings and *-λ-semirings which extend the notions of inductive *-semirings. we also study the basic properties of these semirings and discuss the interrelation between them. Also, we discuss whether these semirings are closed for the construction of formal power series via a fixed point-theoretical viewpoint.

本文给出了归纳术*-半环及弱归纳*-半环概念的推广，即μ-半环、λ-半环、*-μ-半环以及*-λ-半环的定义；研究了这些半环的一些基本性质以及它们之间的相互关系；同时结合形式幂级数及不动点理论，讨论了这些半环关于形式幂级数构造的封闭性问题。

This model can estimate the size of the affected area in the event of a full-bore rupture by the diameter, the operating pressure and the length of pipeline Hazard area is directly proportional to the operating pressure raised to a half power, and to the pipeline diameter raised to five-fourths power, but inversely proportional to the pipeline length raised to a quarter power.

应用该模型可以通过管道直径、工作压力和管道长度计算出全口径断裂事故的影响范围。危险影响区域与工作压力的平方根成正比，与管道直径的5/4次幂成正比，与管道长度的1/4次幂成反比。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。