Solution of the linear differential equation containing arrangement number and binomial coefficient

The Solutions of the High Step Binomial Coefficient Type Linear Differential Equation

高阶二项式系数型线性微分方程

New understanding of the binomial coefficient "b" of gas well

对气井二项式系数B的新认识

In the paper, on the basis of the binomial productivity general formula, the change law of the binomial coefficient "B" is theoretically derived in consideration of the investigation radius and its corresponding permeability change.

文章基于气井二项式产能方程通式，考虑探测半径及对应渗透率的变化，从理论上推导了二项式系数B的变化规律。

This new formula is complementary with the classic CRR binomial option pricing formula and completes the binomial model.

比较分析了二项式期权定价量子模型新公式与经典CRR定价公式，指出此两者是互补存在的，有着各自不同的适用范围。

Non-Darcy binomial deliverability testing formula of horizontal gas wells

气藏水平井非达西流动二项式产能试井公式

Three methods-structural volume, binomial formula and definite integral-can be employed to derive the formula for the snm of the K power of positive N term integer. The calculation can be made on the basis of them.

用构造体积、应用二项式定理、利用定积分的三种方法，导出正整数前n项k方和公式，并对此进行推算。

Based on the differential factor approach, several practical transformation formulae between plane coordinate systems together with their application areas are proposed in this paper. These formulae are: improved power series formula, Taylor series formula, and Newton's binomial formula.

本文利用微分算子的方法，提出了坐标系统转换的几种实用公式，即：改进幂级数公式、台劳级数公式、牛顿二项式公式及应用范围。

Binomial Expansion Advantage Method for Computing the Kill Probability

计算毁伤概率的二项展开优化法

It is obtained by improving the original common useful method& Binomial Expansion Method.

它是在原有的常用算法二项展开法基础上改进得到的。

A new method in design of arbitrary order analog fractance circuit based on binomial expansion is presented.

提出一种通过二项展开式设计任意阶模拟分抗电路的新方法。

Ruin probability of negative binomial risk model with variable lower limit deflection at working ultimate load

可变下限的负二项风险模型的破产概率工作极限负荷下变形量

A simple method for establishing binomial deliverability equation of gas well

建立气井二项式产能方程的一种简单方法

Based on the radial transient flow equation and the superposition principle, a corrected formula for calculating the unstabilized and stabilized binomial equation is obtained by analyzing the whole procedure of the modified isochronal test.

根据气井早期不稳定渗流理论和渗流叠加原理，对修正等时试井的全过程进行理论分析，推导出确定不稳定及稳定二项式产能方程的校正公式。

RESULTS: The binomial equation of the influencing factors and the optimized formula of roxatidine sustained-release tablet were available through spherical symmetric design, and the experimental result was in line with the predicted data.

结果采用球面对称设计法，可得到影响因素的二项式方程和优化处方，且试验值与预测值非常接近。

In this paper, some especial higher power equation be enumerated, just like Binomial equation or Reciprocal equation, for people cannot fine common extract roots formula about five and above power equation.

基于五次或五次以上方程没有一般通用的求根公式，本文列举了一些特殊的高次方程的解法。

Based on superposition principle, steady productivity binomial equation of gas well in compound formation is developed. Two steady productivity binomial equations and open flow rate calculations are obtained.

根据试井渗流理论中的叠加原理对复合地层中气井的稳定产能方程进行推导，得到了两个不同渗透区域的稳定产能方程和无阻流量计算公式。方程则不能得到正确的结果。

Therefore, steady productivity binomial equation can be applied in gas well productivity evaluation in compound formation, in which permeability in outer zone is much higher than inner one.

通过分析证明，稳定产能方法适用于外区渗透性高于内区渗透率的复合地层中气井产能评价，而对于外区渗透性变差的气井，用稳定产能方法很难指导现场气井生产。

Exact lower limits of the reliability for mixed binomial and exponential series system is derived.

pdf，并推导了二项与指数单元混合组成的串联系统的可靠性Fid。

It seems to us that the problem of how to obtain the exact confidence limits for a binomial series system is still unsolved.

我们认为，求解二项串联系统可靠性经典方法的精确置信限问题至今仍然没有解决。

Discussion on bayes' confidence bound for binomial series system reliability using B ( 0,0) as the prior distribution of component reliability

以B（O，O）作为元件可靠性的先验分布的二项串联系统可靠性的贝叶斯置信限的讨论