二项式方程

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。

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。

Nevertheless, the traditional binomial produ ctivity equation can't work under the formation pressure unknown.

气井产能方程能够直接描述流压与产量的关系，但是传统的二项式产能方程在地层压力未知或者地层压力不准的情况下无法使用。

We use heat equation and binomial model to solve the function.

解方程式则用了热扩散方程法以及二项式模型；二项式模型用了Cox、Ross、Rubinstein所提出的CRR二元树的概念推导选择权期初价格，所得到的二项式模型极限值将逼近於布莱克-休斯模型。

By analyzing the production test data,we get the index production equation,binomial production,production degression equation and the single well control reserve.

通过分析该区的试采井资料，得到了指数式产能方程、二项式产能方程及油井产能递减方程，同时计算了单井控制可采储量。

Research about the Binomial and Chebyshev Match;2. Nevertheless, the traditional binomial produ ctivity equation can't work under the formation pressure unknown.

气井产能方程能够直接描述流压与产量的关系，但是传统的二项式产能方程在地层压力未知或者地层压力不准的情况下无法使用。

The calculated results show that the binomial equation used in the dry gas condition is unsuitable for modelling deliverability of gas condensate well due to its overpredictions.

算例表明，用干气二项式方程将过高地估计凝析气井产能，因而是不适合的。

Then, the steady-state productivity model for horizontal well in gas reservoir is established. On the basis of solving the model, this thesis deduces the binomial deliverabiliry equation by which absolute open flow potential and inflow performance relationship can be gotten and we can forecast the production performance of horizontal well in gas reservoir.

其次，在建立水平气井稳定渗流的数学模型并求得其解的基础上，推导出了考虑地层伤害及非达西渗流影响水平气井二项式产能方程，通过该二项式产能方程可求出水平气井的绝对无阻流量，绘制流入动态关系曲线来预测生产动态。

The binomial deliverability equation can only be used to describe the high velocity non-Darcy filtering flow. For low permeability fracturing gas wells, due to low permeable property and high flow conductivity of the formation, the filtering flow laws of the formation are different from those before fracturing, and binomial deliverability equation can not be used for the flow condition of gas wells, therefore, new equation is needed.

二项式产能方程只能描述高速非达西渗流，对于低渗压裂气井，地层的低渗透性和裂缝的高导流能力使得其渗流规律已经和压裂前大不一样，二项式产能方程已无法描述气井的生产状况，必须建立新的方程。

Result］Like most of C3 plants, the diurnal changes curve of NPR of Lonicera japonica Thunb. showed double peaks, but there were time difference in reaching the peak value between the study and previous ones. The responding mathematical model of NPR to photosynthetic valid radiation could be described by three mathematic functions , such as logarithm, linearity and binomial,but binomial function was more precise than the others. Light saturation point of Lonicera japonica Thunb. was figured out by binomial equation deduced in the study, and light saturation point was 1 086.3 μmol/(m2·s).

结果］与多数其他C3植物一样，金银花净光合速率日变化曲线呈双峰型，但在具体达到峰值的时间上与前人的结果有差异；金银花净光合速率对光合有效辐射的响应可用对数、线性、二项式3种数学函数来描述，但以二项式描述更确切；根据前面得到的二项式方程，计算出了金银花的光饱和点为1 086.3 μmol/(m2·s)。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。