幂

If α had been determined,the dissociation and non-dissociation species photolysis rate constants could be calculated by the tangent equation of the power function.

任意解离度条件下的解离态和非解离态光解速率常数，可根据幂函数的切线方程来确定。

The high-order power function is then approximated by the Taylor expansion which can be further pre-filtered for each of the items.

并对高次幂函数进行泰勒展开，在展开的各项上分别进行预滤波；在绘制过程中。

Which is called the Taylor's formula with Peano Remainder Term of order based at , and is called the Peano Remainder Term.

上式称为按的幂展开的带有佩亚诺型余项的阶泰勒公式，称为佩亚诺型余项。

Results show that they both have good power-law correlation with total cloud amount,and have obvious seasonal variations.

结果表明：我国地气系统短波辐射云强迫及其敏感性系数都与总云量有较好的非线性相关，呈幂指数形式，且季节变化明显。

When coverage varying from high to low, the parameter a decreasing, and b increasing. The fitted regression equation between total vegetation coverage and runoff duration as following, C = 3.4881nt_p -11.772 (R~2=0.9477). The equation shows that the vegetation is positive correlation to duration, i.e.

高寒草甸产流、产沙的试验结果表明，不同植被盖度的嵩草草甸其产流、产沙过程可以用幂函数R=at~b分布来描述，随着盖度由大变小，方程参数a值逐渐变小，b值逐渐增大；而覆盖度在5％以下的黑土滩，其产流、产沙过程更符合指数函数R=ae~分布。

The purpose of this dissertation is to study a principle or method to describe and analyze the complex problems with high gradients arising from practical engineering. The main contents cover:1. The Bezier function was introduced to approximate high gradient functions, and a suitable coupled function was derived. Some detail numerical results show that the Bezier-based function is dominant over other combination function such as polynominal and trigonometric series, when to describe a high gradient function.

针对工程中大量存在的高梯度问题进行函数逼近的研究，引入Bezier函数对高梯度问题进行函数逼近，构成以Bezier函数为主的复合逼近函数，数值考证表明：与常规多项式插值函数的逼近及"幂／三角"复合函数的逼近相比，基于Bezier函数的逼近函数对高梯度问题的描述具有明显优势。

Based on dynamic test data, using curve fitting and optimum method, three dynamic empirical model are developed according to the principle of minimizing errors, they are trilinear hysteresis model, variable linear hysteresis model and variable nonlinear hysteresis model.

对系统辩识模型作出了改进，把准静态特性的幂函数乘积模型与辩识模型相结合，形成了制动器的理论分析模型。

For overcome nonlinear terms of any degree in the equation, we made a proper transformation according to the structure of the equation at first, make the equations into ordinary differential equation. Then solve the ordinary differential equation exactly, by auxiliary functions method and undetermined the coefficient method and algebraic computer system Mathematica.

为了克服方程中非线性项的任意次幂，我们采用的方法是首先根据方程的特点，做适当的变换，使原问题转化为常微分方程的问题，其次对该常微分方程再进行各类变换，如辅助函数法以及待定系数法……。

Critical voltage for a simply supported rectangular thin plate under uniform electric field is presented by using Navier solutions.

基于经典板理论，假设材料的电弹参数为板厚方向坐标的幂函数，采用含压电耦合项的修正层合理论，推导了压电功能梯度薄板在电载荷作用下的屈曲方程，并利用Navier解，得到四边简支矩形薄板在均匀电场下的屈曲临界电压。

The results show that the absorbed SO_2 per unit volume of slurry is related exponentially to the slurry pH.

根据试验结果，提出了单位体积浆液吸收SO2的量与浆液的pH值呈幂函数关系。

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％。