二项式

Horizontal gas well model considering well-bore structure parameters, turbulent flow under high-speed non-Darcy flow and start-up pressure gradient was established and solved. Binomial deliverability equation describing horizontal gas well was derived.

建立和求解了包含水平气井井身结构参数、近井区高速非达西渗流条件下气体紊流因素以及启动压力梯度效应的水平气井渗流模型，推导出了描述水平气井产能的二项式产能方程。

Assuming a condition cont-rol reserve calculation,combimatively solve the material balance equation of gas recovery and binomial gas recovery equation for gas well,calculate the production curve of gas well and match it with the actual production curve,finally determine the reserve and productivity parameter,this method doesn't need much pressure build-up data,and can calculate the c...

该方法的推导思路是：假设在某一控制储量条件下，联立求解气藏物质平衡方程式和气井二项式采气方程，计算气井采气曲线并将其与实际的采气曲线相匹配，最后确定储量、产能参数。该方法不需要较长的多次关井复压资料，在气藏受水驱影响较小时，还可计算一口探井或气藏试采早期所反映出的气井控制储量，在气藏生产中得到应用，计算结果较为可靠

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。

Firstly, convergence condition of a binomial is discussed, and along with the calculating formula of region of convergence, the matching band of fractance circuit attained by binomial expansion method is indicated definitely.

首先讨论了二项式的收敛条件，并结合收敛域的计算公式，明确指出使用二项展开法所得到的分抗电路的逼近带范围。

If the power series ∑anxn an ∑anxn and ∑bnxn satisfy the condition r =∑bn xn, we obtain the twin combinatorial identity theorem between the sequences {an} and bn}.We also obtain some specific twin combinatorial identities by using the expansion on the binomial expression formula, including two expansions of combinatorial number(rsn and ...

如果幂级数∑anxn与∑bnxn满足条件r＝∑bnxn 时，获得数列｛an｝与｛bn｝之间孪生组合恒等式的定理，应用在二项式定理等展开式上得出具体的多组孪生组合恒等式，其中包含组合数的两种展开法，Bernoulli数直接表达式的新证等结果。

In Chapter 2, by means of the integral theory, a number of reciprocal series involving binomial coefficients have been established and some results related to binomial coefficients have been extended.

本章利用定积分的方法和常见的发生函数，结合一些运算技巧，建立了一些与二项式系数的倒数有关的恒等式。

The frequency of observations in both the region just above and that just below zero departs significantly from the expected frequency under the normal distribution at the 1% significance level using the binomial test.

频率的意见都略高于该地区，并略低于零背离预期的有很大的频率下正常分配的1 ％显着性水平使用二项式测试。

He initiated his pupils into the mysteries of the binomial theorem.

他给他的学生们讲授二项式定理的奥秘。

By the age of 20, Sir Isaac Newton found a general binomial theorem which lead to the later development of calculus.

20岁的时候，牛顿发现了一个二项式地理，为以后发展微积分做好了准备。

It included Karaji's binomial theorem and rules of the arithmetic polynomial operations and developed Karaji's theory of polynomial.

其中保存了凯拉吉的关於二项式定理的工作以及多项式的运算法则，并进一步发展了凯拉吉的多项式理论。

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％。