幂

One of the cases was showed in theorem 4.18: finite group G is solvable if and only if Sec is nilpotent for every maximal subgroup At without prime index in G.

在本文中作者将要证明：G可解当且仅当对G中的任意极大子群M，或者I中存在极大元C使C/K幂零并且其Sylow2-子群的幂零类≤2，或者Sec为2-闭。

In particular, Bryce, Fedri, Serens and Guo( [2]and[8]) have studied thenilpotent length of the groups in NF \ φ, where φ is the class Y of allsupersoluble groups or the class Nr of groups with nilpotent length ≤r.

特别是，Bryce，Fedri和Serens以及郭([2]和[8])对N~FΦ中的群的幂零长度作出了研究，其中Φ是所有超可解群类Y，或者是幂零长度≤r的群类。

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

Support has been provided for that annulus fluid instances were numerical simulated with PHOENICS, PHOENICS is used to set up a numerical model of power-law fluid in a concentric annulus flow, by comparing the numerical simulation results for the axis velocity of the power-law fluid in a concentric annulus flow with two dimensional PIV experimental results.

为应用PHOENICS数值模拟环空管道内其它流体情况提供借鉴，利用PHOENICS建立幂律流体环空流动的数值模型，将同心环空幂律流体轴向速度数值模拟结果与二维PIV实验结果对比。

A high-performance modular exponentiation coprocessor, SEA, is presented here, and three novel ways are employed. First, a parallel binary modular exponentiation algorithm is used to decrease cycles, and a high radix Montgomery modular multiplication algorithm is modified to the radix based high radix Montgomery modular multiplication algorithm to increase the frequency; second when mapping algorithms to a systolic array, modular square and modular multiplication are alternatively computed to cover up the dependencies between iterations in the RBHRMMM algorithm and the bypass is used to eliminate the dependencies in the PBME algorithm; third, multipliers are split first, and then accumulations are compressed as partial products to decrease carry propagation delay in the critical path.

SEA是一种针对大数模幂的高性能协处理器，其主要采用如下3种加速方法：①采用二进位并行模幂算法和以基数长度为处理字长的高基数Montgomery算法；②将算法映射到脉动阵列处理结构，并交替计算平方和乘以掩盖RBHRMMM算法中的相关，同时应用定向技术消除PBME算法中的相关；③基於"先拆分乘法、后将累加压缩"的思想优化关键路径。

The theory of rings is an important content of Modern Algebra, while the polynomial rings is an important part of the rings. Polynomial ring is similar with power series ring, and it is a subset of the power series.

摘要环论是近世代数中的重要内容，而多项式环的性质又是环论理论中的重要组成部分，多项式环是幂级数环的子环且与幂级数环形式相近。

Through comparing the ring and polynomial ring to power series, the defition and theorem of the ring and polynomial ring can be extended into power series.

通过对比环、多项式环与幂级数环，将环、多项式环中的性质推广到幂级数环中。

127 Chapter 1 The History and Future of Computers 3.1.2 Positional Notation The exponential powers of the positions are critical for understanding numbers in other numbering systems.

位的指数幂在理解其他计数制中的数时是个关键。基数小数位的指数幂在理解其他计数制中的数时是个关键。

8 Chapter 3 Number Systems and Boolean Algebra 3.1.2 Positional Notation The exponential powers of the positions are critical for understanding numbers in other numbering systems.

位的指数幂在理解其他计数制中的数时是个关键。基数小数位的指数幂在理解其他计数制中的数时是个关键。

The classical logistic equation is generalized to a new model with power exponent to the rate of growth of the population.

本作品将经典的逻辑斯蒂人口增长模型改进为具有幂律型增长因子的更一般形式，使其能够更加适用于现实中复杂的人口增长问题，并选用相应适用的幂律指数数值进行了对我国大陆，部分省区、直辖市及县区的人口分布规律的实证。

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。