幂

The residual resistance factor of foam to gas and water decreased in power exponent with equilibrium time.

结果表明，随着氮气注入压差的增加，泡沫对气体的初始残余阻力系数呈幂指数增加；而其残余阻力系数随时间均呈幂指数下降。

Based on the power series expansion of the general flexible matrix of the sub-system, a general expression of the dynamic stiffness matrix of the reduced model was derived from the exact expression of the reduced model for the direct substitution dynamic condensation methods. The general expression was also expressed as a power series of the unknown eigenvalues. After that, the validity and error of the Guyan condensation method were analyzed.

对于动力缩聚直接代入法，本文从降阶模型的精确表达式出发，利用子系统广义柔度矩阵的幂级数展开式，导出了降阶模型动刚度矩阵的一般表达，并把它表示为未知特征值的幂级数形式，在此基础上对 Guyan缩聚法的适用范围和误差进行了一般分析。

A general ring I is a clean general ring if and only if its power series ring is a clean general ring if and only if its skew power series ring is a clean general ring.

1一般环I是一般clean环当且仅当I的形式幂级数环是一般clean环当且仅当I的斜幂级数环是一般clean环。

So using theory of power series to define and study function is an effective method of deal with question of function.

因此，用幂级数定义和研究函数是处理函数问题的一种有效的手段，并能给问题的解决带来一些方便，但是，幂级数只是函数的一种表示形式，只有与函数的其他表示形式相互协调和补充，才能真正简洁有效地处理函数问题。

Our main results are as follows: There are infinitely many positive odd integers not of the sum of two powers of 2 and a prime power.

其主要工作如下：(1)证明了存在无穷多个正奇数不能表成两个2的幂次与一个素数幂次的和。

The author studied the formula of the sum of natural number power, and got a recurrence formula of the coefficient about the sum of natural number′s power, it was better than the other formulas that had been obtained.

研究了自然数方幂和的表示公式，给出了其系数的一个递推关系式，利用递推公式很容易得到幂和的各项系数，为计算机解题提供了依据。

Since there is natural different of the kinematic density formula for pairs of intersecting lines in two-dimensional surface and three-dimensional space, the inequalities for double chord-power integrals have studied from two side of two-dimensional surface and three-dimensional space using chord-power intergral inequality. Schwarz inequality. Holder inequality and so on.

由于二维平面和三维空间上的相交直线偶的运动不变密度公式有着本质的不同，本文从二维平面和三维空间两个角度，利用弦幂积分不等式，Schwarz不等式，Holder不等式等不等式分别得到了一系列双弦幂积分不等式。

In this paper, by using conditional cnormalityof some special subgroups(such as minimal subgroups, maximal subgroups, Sylowsubgroups, maximal subgroups of Sylow subgroups)of G, we obtain some sufficient or necessaryconditions for a finite group to be solvable, supersolvable, nilpotent. Some previouslyknown results are generalized.

本文结合有限群的某些特殊子群(如，极小子群，极大子群，Sylow子群，Sylow子群的极大子群)的条件c-正规性来研究有限群的可解性，超可解性，幂零性，得到了有限群可解，超可解，幂零的若干充分和充要条件，推广了有限群的一些结果。

In fact, it was proved by Pastijn that the idempotent semirings for whichis a congruence form a proper subvariety of the variety of all id empotent semirings. Also the defining equations were given with three free var iables of this variety.

Pastijin证明了：是S上的同余的幂等元半环S的全体构成了幂等元半环簇的一个子簇，进一步还给出了这个子簇的含有3个变量的簇等式组，当时不知道这个子簇是否有两个变量的簇等式组。

Second, some mutual relations for two kinds of powers sum polynomial s are been established.

首先 ，给出这类多项式的定义和基本性质；其次，建立两类幂和多项式的相互关系；最后，介绍上述结果在求解自然数幂和公式方面的应用。

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。