二项式

NMath Stats contains a data table class with functions for computing descriptive statistics, such as mean, variance, standard deviation, percentile, median, quartiles, geometric mean, harmonic mean, RMS, kurtosis, skewness, and many more; PDF, CDF, inverse CDF, and random variable moments for a variety of probability distributions, including normal, Poisson, chi-square, gamma, beta, Student's t, F, binomial, and negative binomial; Combinatorial functions, such as factorial, log factorial, binomial coefficient, and log binomial; Multiple linear regression; Basic hypothesis tests, such as z-test, t-test, and F-test, with calculation of p-values, critical values, and confidence intervals; One-way and two-way analysis of variance and analysis of variance with repeated measures; Multivariate statistical analyses, including principal component analysis and hierarchical cluster analysis.

nmath统计包含一个数据表的阶层与职能计算描述性统计，如平均，方差，标准差，百分位，中位数， 25 ％，几何平均数，调和的意思是，有效值，峭度，偏度，还有更多的； PDF格式，民防部队，逆民防部队，并随机变量矩的各种概率分布，包括正常，泊松，卡方检定，伽玛，测试版，学生的吨，男，二项式，并负二项分布；组合的功能，例如阶乘，日志阶乘，二项式系数，并登入二项式；多元线性回归；基本假设测试，如的Z测试， t检验， F检验，计算p值，临界值，和置信区间；之一，双向和双方法方差分析和方差分析与反复的措施；多元统计分析，包括主成分分析和聚类分析。

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。

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)。

In chapter 2, the basic ideas of binomial pricing model are concerned, we discuss binomial pricing model of discrete up-and-out calls and show the formula, it extends binomial pricing model of European option. It is then followed by the discussion of the structure and thought of trinomial pricing model, the formula of barrier option is derived. At last, we provide mixed trinomial pricing model.

第二章，首先介绍了二项式定价模型的基本思想，推导出了障碍期权的二项式定价公式，此式推广了标准的二项式定价公式；其次，介绍了三项式定价模型的构造及基本思想，得出了障碍期权的三项式定价模型；最后，推广了三项式定价模型，提出了混合型三项式定价模型。

You can use one of three option pricing models: Black-Scholes, Binominal European and Binominal American.

您可以使用一个3期权定价模型：黑色-舒尔斯，二项式二项式欧洲和美国。

In this thesis, a new method for designing nonreciprocal binomial transformer is deduced from the design method of the traditional binomial transformer based on the theory of small reflection.

本文将小反射理论应用于非互易二项式变换器设计，从传统二项式变换器的设计方法中导出了非互易二项式变换器的设计方法。

P. Then extension is done for Bajards algorithm about efficient multiplication in GF,we use non-liner binomials instead of liner binomials used in former algorithm and give thenew algorithm. We prove the algorithm theoretically and practically that new algorithm ismore applicable and has more advantages in software implementation.

对Bajard提出的GF上乘法快速实现算法进行了扩展，使用非线性二项式代替原先算法所使用的线性二项式，给出了一个新的GF上乘法快速实现算法，理论分析和仿真试验均证明了新算法适用范围更广且复杂度更低，更适合于软件实现。

The intensity-dependent interaction of the different states:the superposition of thebinomial states,generalized binomial states,hypergeometric states,Polya states,negative binomialstates,the superpositions of the negative binomial states,Glauber-Laehs states,displaced binomialstates and displaced negative binomial states with two-level atoms are studied and the dynamicsof the atomic population inversion and the field second-order correlation function areinvestigated.

对各种量子态：二项式叠加态，广义二项式态，超几何态，玻利亚态，负二项式态，负二项式叠加态，Glauber-Lach态，位移二项式态，位移负二项式态与二能级原子在强度耦合情况下的相互作用中原子与光场的动力学特性做了仔细的研究。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。