幂函数

An asymptotic expansion of the errors with O(h3) is shown. Therefore , by using extrapolation we can improve the accuracy order of approximations.

该方法的优点在于奇点处权函数的选择，并且证明了误差有h3幂渐进展式，从而可以利用外推达到加速收敛的目的，更好地提高了计算精度。

In this paper, the formula of Expect Bayes estimation of the reliability under entropy loss function and square loss function for geometric distribution have been given, when the prior distribution of the reliability is power distribution.

本文在几何分布的先验分布为幂分布时研究了其在熵损失函数下，可靠度的多层Bayes估计及其容许性，给出了可靠度的多层Bayes估计的计算公式。

The simulation results show that the performance of the boxcar window is the best, while the worst is triangular window.

比较了窗函数对逆幂律特性的影响，仿真表明矩形窗的效果最好，三角窗最差，汉宁窗居中。

In this paper, using the concept of the contact angle and considering the capillarity action, the method of small-time expansions is developed to solve accurately nonlinear wave due to the horizental of the plate towards the fluild with an acceleration.

采用对时间t作幂级数展开的方法，利用接触角的概念，并考虑了表面张力的作用，对垂直平板在静止的液体中突然起动所产生的非线性波进行了求解，得到了速度势函数、压强及自由面形状的解析表达式，并对一种特例计算了作用在平板上的动水压强。

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。

This course mainly contents real number muster and function, limit of number sequence, limit of function, continuity, derived number and differential, differential mean value theorem and its application, completeness of real number, integral, series(including positive series and Fourier series), multiple- differential, double integral, integral with parameter, curve integral, camber integral and so on.

理解和掌握《数学分析》的概念、理论和方法，对于学生加深理解数学的基本思想和方法，培养抽象思维能力和逻辑思维能力，提高数学素养具有重要的意义。主要内容包括：实数集和函数，数列极限，函数极限，连续性，导数和微分，微分中值定理及其应用，实数完备性，积分、级数(包括幂级数、Fourier级数)、多元微分学、重积分、含参变量积分、曲线积分、曲面积分等。

The structure character of puffing system will alter after some time, this must affect precision of measurement.

提出用智能神经元来调整隶属函数的幂，以得到隶属函数的最佳形状，这将有利于网络的收敛和推广。

So we have in the dissertation: 1. First we proposed the minimal singular blending function, and established the minimal singular blending functions of power form、Bernstein form and Bézier form.

提出了最小奇异混合函数，研究了它的建立方法，给出了各种形式的最小奇异混合函数，有幂形式、Bézier基形式及Bernstein-Bézier基形式。

We investigate this kind of numbers in Chapter 4 and give the following results:(1) By generating functions theory, we have established a number of identities involving the powers of generalized Fibonacci and Lucas numbers. From these identities, we can obtain some new congruences.

第四章：利用发生函数理论以及一些运算技巧，讨论与广义Fi-bonacci，Lucas数有关的问题：(1)利用发生函数原理，建立了一系列涉及广义Fibonacci，Lucas数的幂的恒等式，并由这些恒等式得到了新的同余关系。

The structure functions D of flux variations caused by refractive scintillations are calculated.

对折射闪烁引起的流量变化的结构函数D的计算表明，结构函数的幂律部份的指数P（D依赖于上述两个成份的相对散射强度，即在连续介质散射为主的情况下；而在薄屏散射为主的情况下；若两个成份的散射可相比较时，1＜P＜2。

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。