二项式

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。

In the thesis some vital identities with binomial coefficient are given with their combinatorial proof, and the q-analogues of some identities are offered with corresponding combinatorial proofs on the subspace-lattice. Especially, one remarkable result is that a new q-analogue of the cube-sums identity is obtained with its combinatorial proof over the vector space.

本文给出了一些重要的二项式系数恒等式的组合证明或组合解释，并从向量空间角度给出了一些恒等式的q-模拟及组合证明，其中突出的成果是给出了立方和恒等式的一个新的q-模拟及组合证明。

In the thesis , we give combinatorial proof of some q-identities using integer partition.In the thesis some vital identities with binomial coefficient are given with their combinatorial proof, and the q-analogues of some identities are offered with corresponding combinatorial proof using integer partition.

本文给出了一些重要的二项式系数恒等式的组合证明或组合解释，并从分拆的角度给出了一些q-恒等式的组合证明，其中突出的成果是给出了平方和恒等式的一个直接的组合证明并给出了偶数平方和与奇数平方和的q-模拟及组合证明。

By statistic analysis for modified isochronal testing data from many wells in gas field, the well testing tech of one point method to acquire empirical equation for calculating absolute open flow potential under different work systems and by use of binomial equation coefficient to count inertia r.

通过气田多口井修正等时试井数据进行统计分析，获得了一点法试井在不同生产时间下计算无阻流量的经验公式；利用气田修正等时试井的二项式方程系数B，计算惯性阻力系数并经过曲线回归处理获得了经验关系式，很好地解决了一点法试井计算产能方程的问题。

B Is it reasonable to use the binomial distribution in this problem?

这不是统计学问题，同一类型股票的涨跌并非独立事件，会受到同样的系统风险影响，因此实际上并不适宜采用二项式分配

While the relative abundance of larger clusters followed a binomial distribution .

当更大的群相对丰盈跟随了一块β二项式分布时。

A theoretical distribution that is a good approximation to the binomial distribution when the probability is small and the number of trials is large.

当概率小而试验次数大时逼近二项式分布的一个理论分布。

With a given bias threshold, the correctness for a prediction model can be descr ibed by a reliability function of binomial distribution.

在给定门限偏差的条件下，模型预测结果的正确与否可以用二项式分布的可靠度函数来描述。

It is one new theory and method to replace the binomial with tri-item equation for deliverability test of oil and gas wells.

用三项式取代二项式，是油气井产能试井的一种新的理论和方法。

Index equation and binomial expression are the main methods to determine the absolute open flow capacity of a gas well at present.

目前确定气井绝对无阻流量的方法主要是指数式和二项式。

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％。