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In particular, Stolarsky mean are generalized from two variables to n variables. Moreover,we make ωi become weight function to diversity the kinds of mean function. For the mean family, we discuss mean family with single parameter or multi-parameter .

此外还通过改变权w_i，使之成为权函数，从而使n元平均函数的形式多样化，在n元平均族中给出了单参数和多参数平均族，并讨论了具体的单参数的幂平均族和指数平均族，多参数的Dresher平均以及由此构造的另一种形式的双参数平均族。

It comes from "googol", the number 1 followed by 100 zeros.

"google"一词源于单词"googol"，即10的100次幂，写出的形式为数字1后跟100个零，表示数量极大。

In this paper, the graphic solution for predicting horizontal fracture geometry is proposed and the calculation graphs are given.

本文提出了利用幂律液体压裂时求解水平裂缝几何尺寸的方法，分析了便于现场使用的图解法。

The result shows that the relationship between stress and strain can be described by Hardin model.

试验结果表明：该尾矿砂的动应力应变关系可用Hardin等效黏弹性模型描述，模型中的起始动剪切模量和最大动剪应力皆随固结应力比和有效固结围压的增大而增大，这两个参数与有效固结轴压成幂函数关系，且其受固结应力的影响较小。

Matrix serves as a key tool in the study of higher algebra.

在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵的乘法运算时给出了幂零矩阵的定义，但对其性质研究很少。

The study shows that the pressure transient curve of fractured wells in closed circular formation can be divided into six different flow regimes. In condition of the same fracture opening width and fracture length, compared to rectangular fracture, the pressure drop with tapered fracture is bigger, and the dimensionless pressure and pressure derivative curves are higher. In condition of the same fracture opening permeability, compared to linear declining and constant conductivity fractures, the pressure drop with exponential declining conductivity fracture is the biggest, and the dimensionless pressure and pressure derivative curves are the highest.

研究结果表明：圆形封闭地层压裂井的压力动态曲线可以划分为6个流动阶段；在相同裂缝开口宽度和相同裂缝长度的条件下，与矩形裂缝相比，楔形裂缝压力消耗大，表现为无因次压力及压力导数曲线越高；在相同裂缝开口渗透率的条件下，与导流能力呈线性降低的裂缝以及常导流能力裂缝相比，导流能力呈幂指数降低的裂缝压力消耗最大，表现为无因次压力及压力导数曲线最高。

Since the exchange rings with all idempotents central satisfy the general comparability and have stable range1 [100] , this gives a new class of rings for which S K〓(R , is affinely homeomorphic to M〓 BS

若R为正则环，注意到S仿射同胚于P，便立得Goodearl定理[41]；因为所有幂等元中心的exchange环满足一般可比性且有稳定度1，这提供了S仿射同胚于M〓的一类新环。

Assuming infinite diffusion medium, based on the diffusion equation for prestressed concrete structure, and accounting for the effects of concrete chloride binding capacity, time dependence of diffusion coefficients, temperature and moisture, models of chloride diffusion in two-dimensional infinite body with both power function and constant homogeneous boundary conditions were formulated.

针对无限大的扩散介质，以综合考虑氯离子结合能力、氯离子扩散系数的时间依赖性和环境温湿度影响的实际预应力混凝土氯离子方程为基础，分别在常数和幂函数边界条件下，推导出二维氯离子扩散理论的齐次模型。

The letters of its name are derive d from the absolute value of the power of the hydrogen ion concentration.

其名源自这样的事实，即pH是氢离子浓度的幂数。

The letters of its name are derived from the absolute value of the power of the hydrogen ion concentrat ion.

其名源自这样的事实，即pH是氢离子浓度的幂数。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。