二项式定理

At first, calculate the missile passageway and the joined launching stand and the missile weapon system processing preparatory degrees; next, seek the probability according to the binomial disperse in probability outline, and the un-interlined theorem of probability addition; finally get the whole weapon system processing preparatory degrees.

两种模型均先求得由任一导弹通道及其相连的发射装置、导弹系统作战准备度，再根据概率论中的二项式分布及互不相容的概率加法定理，求得其概率，最后得出整个武器系统作战准备度。

By transforming the interlace series type linear differential equation with coefficient containing binomial coefficients and arrangement number into the linear differential equation of successive integral,the theory and method for solving this kind of equation are determined.

通过把系数含有二项式系数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程，找出了求这类方程通解的方法与理论，把所得定理给出了严格的证明，并通过实例介绍了它的应用。

A theorem giving the expansion of a binomial raised to a given power.

将二项式扩展到规定幂的定理。

The famous mathematician Newton first proved the binomial theorem.

著名数学家牛顿最早证明了二项式定理。

And by the 14th century Chinese mathematicians had made significant advances in algebra, in the numerical solution of equations and in the rudiments of the binomial theorem.

到14世纪，中国数学家们在代数、数的方程解答和基础二项式定理方面都取得了重大发展。

Combination of 〓P MAS NMR with the binomial theorem calculation suggests that a restricted random distribution of Mg is present in the molecular sieves.

结合〓P MAS谱和二项式定理计算表明镁在磷酸铝分子筛上的分布是随机的。

Newton to humanity's contribution is huge, just like Engels said:"Newton as a result of invented law of universal gravitation to establish the science astronomy; As a result of has carried on the light decomposition, but established the science optics; As a result of established the binomial theorem and the infinite theory established the science mathematics; As a result of has known the strength essence, but established the science mechanics".

牛顿对人类的贡献是巨大的，正如恩格斯所说："牛顿由于发明了万有引力定律而创立了科学的天文学；由于进行了光的分解，而创立了科学的光学；由于创立了二项式定理和无限理论而创立了科学的数学；由于认识了力的本质，而创立了科学的力学"。

Gauss is a farmer's son, childhood, his math on the show extraordinary talent. Three-year-old father to correct an error in calculation; They found 10-year-old independent series of arithmetic summation of the formula; 11-year-old found the binomial theorem.

高斯是一个农民的儿子，幼年时，他在数学方面就显示出了非凡的才华。3岁能纠正父亲计算中的错误；10岁便独立发现了算术级数的求和公式；11岁发现了二项式定理。

Having discussed Wallis'interpolation in great detail, the paper shows that Wallis mainly relied on incomplete induction and analogical inference to obtain his results, an approach which was key to the creation of many important algorithms during the considered period. A comparison between Wallis'method and previous interpolations is then made and the influence of Wallis' thinking style embodied in his interpolation on Newton's invention of binomial theorem is clearly revealed.

通过考察沃里斯的插值过程，指出沃里斯插值法完全是借助于不完全归纳和类比推理得到的，并与过去的插值法做了比较，最后分析了沃里斯插值法对牛顿发明二项式定理的影响。

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。

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％。