递推公式

In this paper, we present five sorts of methods for finding the particular solutions of the n-th-order inhomogeneous linear differential equation with constant coefficients.

本文给出了五种求n阶常系数线性非齐次微分方程待解的方法。这些方法只需计算特征函数A及其各阶导数在某点的值，方法简单，两种递推公式适合计算饥计算，本文还简化了文［1］中递推公式的证明

In prime number distributed research process,and through established one kind of new sieve method and the stair theory,this article obtained about three group of prime number distribution recurrence formula: The 1st is not bigger than x the prime number integer recurrence formula;The 2nd is not bigger than x the twin prime integer recurrence formula;The(3rd Recurrence) formula.

在研究素数分布过程中，通过创立一种新的筛法与台阶理论，得到关于素数分布的三组递推公式：不大于x的素数个数与孪生素数对数量的递推公式；不大于x的孪生素数个数的递推公式；任意偶数x≥6表为两个奇素数之和与孪生素数对数量对数的递推公式。

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。

The Total probability formula is an important formula in the probability theory , this text carries on several popularization to this formula, and until probability calculate, margin distribute calculate and foundation of recurrence formula application of carry on some discussions to formula this.

摘要全概率公式是概率论中的一个重要公式，本文对此公式进行若干推广，并对此公式在概率计算、边际分布计算以及递推公式的建立等方面的应用进行了一些探讨。

And thus we ve worked out a new recursion formula of power sum problem ,using it ,we can get the calculationg formula of all the power sum problem .

本文利用二项式定理得到K =8，9，10 ，11时幂和∑ni=1ik 的计算公式，较文[1 ] 中结果表达式简单，并推出了关于幂和问题的一个新的递推公式，利用它可导出所有幂和问题的计算公式。

The FDTD formulations of dispersive medium are deduced. Using shift operator method, the recursive relation for 〓 and 〓 available for FDTD computation of plasma coating is obtained.

推导了色散介质FDTD的递推公式，给出了时域计算中电位移矢量〓和电场强度〓之间关系的移位算子法，并用该方法得到了本构关系在离散时域的递推关系。

This paper infer a series of recursive equation based on lease square estimation in order to reduce computing amount, include recurrence equation of regression coefficient, total dispersion square sum, residual square sum, regression square sum etc.

为了减少计算量，本文推导了基于最小二乘估计的一系列递推公式，包括回归系数、总离差平方和、残差平方和、回归平方和等的递推公式。

The author mainly studies the probabilistic representation of a special combinatorial number. Meanwhile, some special values of both kinds of Stirling numbers are obtained. Some new recurrence formulas and identities related to both kinds of Stirling numbers are found.

作者主要研究了一种特殊组合数的概率表示及其应用，得到了Stirling数的一个性质，推导出了其他有关Stirling数的递推公式并且发现了新的递推公式，并利用这些递推公式得到了几个恒等式，从而丰富发展了已有的一些结果。

In this paper, a sort of recursive formulas of spherical harmonics integrals, which often appear in the gravitational gradient harmonic analysis, are deduced according to the recursive formulas between every other order of spherical harmonics and the trigonometric functions＇properties. And the calculated formulas on the recursive initialization also are brought forward.

本文根据球谐函数的跨次递推公式和三角函数的性质，详细推导了在重力梯度调和分析中出现的一类球楷函数积分的跨次递推公式和递推初始值的计算公式。

This text has mainly introduced seven kinds of popularization of the total probability formula , and the total application in three aspects of probability formula, i.e.

摘要全概率公式是概率论中的1个重要公式，本文对此公式进行若干推广，并对此公式在概率计算、边际分布计算以及递推公式的建立等方面的应用进行了1些探讨。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。