查询词典 binomial coefficient

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。

Therefore, in this article,we first discussed the compound negative binomial, it able to simultaneously fitthe claim size and the claim number. At the same time, we studied the sum of themutually independent compound negative binomial and the sum of the mutuallyindependent compound negative binomial with discount factor and the sum of themaximal compound negative binomial; Next, for the claim data to be better fitted, this article has establishedthe superposition distributed model about the weighted average of the discreterandom and has discussed the estimation method of the parameters of thesuperposition distribution; Once more, we in detail elaborated the NCD which based on the claim numberand the NCD which based on the claim size and the claim number. Besides, weestablished an applied NCD model which also based on the claim size and the claimnumber; At last, we introduced the rewards and punishment coefficient of automobiletravel region into the applied NCD model, availably consummated the present NCD.

因此，本文首先讨论了能拟合索赔额大小和索赔次数的复合负二项分布，并对相互独立的复合负二项分布的和、带有折现因子的相互独立的复合负二项分布的和以及最大复合负二项分布进行了研究；其次，为了更好地拟合索赔数据，本文建立了离散随机变量加权平均的叠加分布模型，并讨论了其中的权数的估计方法；再次，本文详细阐述了基于索赔次数的无赔款优待系统、考虑索赔次数和索赔额大小的无赔款优待系统以及应用型的同时考虑索赔次数和索赔大小的无赔款优待系统；最后，本文在无赔款优待系统中引入了汽车行驶区域奖惩系数，对现行的无赔款优待系统进行了完善。

From the results of different coefficient and similar coefficient,Schima superbashowed high total mean different coefficient and low total mean similar coefficient;Castanopsis chinensis showed high total mean different coefficient and media totalmean similar coefficient;Cryptocarya chinensis showed low total mean differentcoefficient and high total mean similar coefficient.

从相异系数和相似系数的计算看，荷木总平均相异系数最大，总平均相似系数最小；锥栗总平均相异系数大，总平均相似系数居中；厚壳桂总平均相异系数最小，总平均相似系数最大。

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。

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。

On two binomial coefficient s and their related combinatorial identities;2. Several identities on binomial coefficient s and trigonometric func tion values of special angles are obtained.

利用组合数学的一些技巧给出了切比雪夫多项式的通项表达式，并得到了一些二项式系数，特殊三角函数值的恒等

Methods:(1) The two-sided ovary of female animal and the two-sided testicle of male animal were excised. After the XLGBC to treat 28 days, the estradiol and the teststerone of serum were checked;(2) With intramuscular injection the Hydrocortisone,the Yangxu animals was made. After the XLGBC to treat 10 days, the testicle coefficient,the spermathecal gland coefficient and the ovary coefficient were observed;(3) With ig the Thyroid tablets and the Reserpine, the Yinxu animal was made. After the XLGBC to treat 10 days, the testicle coefficient,the spermathecal gland coefficient and the ovary coefficient were observed.

（1）雌性动物摘除双侧卵巢，雄性动物摘除双侧睾丸，复制成去势动物模型后予仙灵骨葆胶囊治疗28天，检测血清雌二醇和血清睾酮；（2）肌注氢化可的松，复制成阳虚动物模型后予仙灵骨葆胶囊治疗10天，观测并计算动物的睾丸系数、精囊腺系数和卵巢系数；（3）灌胃甲状腺片和利血平，复制成阴虚动物模型后予仙灵骨葆胶囊治疗10天，观测并计算动物的睾丸系数、精囊腺系数和卵巢系数。

Some parameters such as Indoor radiation heat transfer, convective heat transfer, MRT, OT, radiation heat transfer coefficient, convective heat transfer coefficient, and PMV-PPD were calculated under a steady condition. From the result, we can conclude, when operation under the combination system and worst-case test, if floor temperature is about 21℃, supply air temperature is 21℃, air velocity is 1m/s, the equlvalent coefficient of heat transfer between floor temperature and OT is 13.6w/m2k, where 5.68w/m2k is equlvalent coefficient of radiant heat transfer, 9.48w/m2k is convective heat transfer coefficient. And when air velocity is higher, supply air temperature is lower, the radiant heat transfer between floor and others is lower. In the whole experiment, the floor temperature was keeping above the indoor air dew point, and condensation was not appeared.

通过分析计算，在复合式系统运行中，最不利室外环境下，当地面温度维持在21℃左右，送风温度21℃，送风风速1m/s，此时地板对作用温度的当量综合换热系数为13.6w/m2k，其中当量辐射换热系数为5.68w/m2k，对流换热系数为9.48w/m2k，并且送风速度越高、送风温度越低，地板与其他壁面的辐射换热量有一定程度的降低，但总供冷量增加；在整个实验中地板温度始终高于地板上层空气的露点温度，并未发现有结露现象；室内空气温度梯度能满足0.1m-1.1m的温差小于3℃的要求，并且适当提高送风温度可以进一步提高人体的热舒适性。

Hence, based on acoustic potential function and boundary condition on solid interface, we get reflection coefficient and refraction coefficient of longitudinal wave and transverse wave on solid-solid interface, and provide approximate formula of the reflection coefficient and the refraction coefficient about the first critical angle of incidence. We analyze relation between the refraction coefficient and acoustic impedance.

为此，基于固体介质的声势函数和界面的边界条件，推导了固-固界面纵横波的反射系数和透射系数，以及第一临界角入射情况下反射系数和透射系数的近似公式，并且分析了透射系数与声阻抗之间的关系。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。