最后，我们应用所得结果给出加权幂平均不等式以及加权平均不等式的加细形式。
Finally, we provide an application of obtained result to the refinement of weighted power means inequality and weighted means inequality.
给出了幂平均不等式及其推广、二维加权幂平均不等式等的构成函数，并讨论了它们的单调性。
This paper discusses the generating functions of monotony for the Power-Mean Inequality, Binary dimension power mean inequality and Binary integral power mean inequality.
在模糊综合评判法的基础上，引入幂平均算子的概念，并结合综合评估法，建立了幂平均模糊综合评判的评标理论模型。
An exponential assessment model is established on the basis of the comprehensive evaluation, the fuzzy integrating assessment and the exponential operator.
针对具有幂律度分布的复杂网络的平均最短路径长度进行了研究。
The average path length of Internet with power law degree distribution is studied in this paper.
研究表明，中国城市航空网络是一个小世界网络，具有短的平均路径长度和大的簇系数，且其度分布服从双段幂律分布。
The present network is a small-world network with short average path length and high degree of clustering, and its degree distribution follows a double power law.
研究表明，中国城市航空网络是一个小世界网络，具有短的平均路径长度和大的簇系数，且其度分布服从双段幂律分布。
It is shown that the present network is a small-world network with short average path length and high degree of clustering, and its degree distribution follows a double power law.
通过速率方程证明了该网络是节点度分布符合幂律分布的无标度网络，其幂指数为- 3，且平均连接度为给定值。
It is proved that the degree distribution of the network obeys power-law form with the exponent-3, and the mean connected degree is given value.
给出了三维线性中心势场不同幂次径向平均值的一般递推公式。
This paper put forward the recurrence formula for radial average values of three-dimensional line potential central field.
从P次幂误差的概念出发，提出了广义加权算术平均组合预测法新的预测方法优超和冗余度的定义。
New dominant forecasting method and redundant measure are defined for combination forecasting method with generalized weight arithmetic average, based on error of power of p.
并提出了岩石的压缩系数与岩石的平均水力半径间呈幂律关系；
The compressibility and average hydraulic radius of the rocks is exponential is put forward;
并提出了岩石的压缩系数与岩石的平均水力半径间呈幂律关系；
The compressibility and average hydraulic radius of the rocks is exponential is put forward;
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