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Moreover for derivatives of benzimidazole, density functional theory method calculations of the structure, atomic charge distributions and electronicspectra have been performed at B3LYP/6-311G*~* level. The results of the calculationshave been compared with experimental data and they are found to support each other,which provide useful information for the further study on derivatives ofbenzimidazole.

并运用密度泛函理论在B3LYP／6-311G~**料水平上，对化合物的优化几何、原子电荷分布及转移、电子光谱以及及在不同温度下的热力学性质进行了计算，从而为苯并咪唑类化合物的进一步研究提供了有价值的参考和理论数据。

It was found that the sequence distributions of CO2-PAN obey Bernoulli statistics.

采用~(13)C NMR分析技术对CO_2-PAN的立体化学进行了研究。

Within this framework we develop a theoretical approach to interpret photoelectron angular distributions in terms of a generalized phase Bessel function which can determine the principal features of the distribution and its variation with laser frequency and intensity.

文章作者及其合作者发展了光电子角分布的处理方法，利用复合相位Bessel函数来表征光电子的跃迁几率幅，将光电子的角分布与复合相位Bessel函数直接联系起来。

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] parameterized by two positive shape parameters, typically denoted by α and β.

在概率论与统计，贝塔分布是一个连续概率分布上定义的区间[ 0 ， 1 ]参数由两个积极的形状参数，通常是指由α和β。

They are common optical measurement and their distributions are obtained from the large sample data. Beta distribution is used as a unified distribution to simplify the research of optical measurement distribution.

通过对光学测量中常见的叉线对准以及焦距、曲率半径测量进行大样本数据采集和分析处理，利用实验方法得到常见光学测量数据的分布，并选择Beta分布统示表示多种分布，简化了光学测量中的分布研究。

The performance of EFT is investigated, which indicates that time-frequency distributions using single-sided window could not accurately trace the variation of the instantaneous frequency, since their performance depend only on the history of the signal, so they are biased frequency estimator.

提出了基于对称阵元互Wigner分布平均的瞬时频率估计算法，这种方法利用多通道数据对时频分布的瞬时频率估计方法的性能进行了有效的改善，并且能够在低信噪比的条件下获得良好的估计效果， 6。

The light distributions in an erythrocyte with the shape of native biconcave,oblate spheroid,or disk sphere under the irradiation of a plane light of 632.8nm were studied with a numerical calculation method of finite difference time domain.

我们用有限时域差分的数值计算方法来研究用632.8nm平面光波照射双凹型，扁球体型或圆盘球体型红细胞后在红细胞内部产生的光分布。

The response variable is fitted with Poisson and negative binomial distributions,and the coefficient is estimated with IGLS.

分布函数采用Poisson分布和负二项分布，参数估计为迭代广义最小二乘法。

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 will see how data can be characterized as observed values of random variables and study three important probability distributions: the uniform distribution, the binomial distribution, and Normal distribution.

我们会看到资料如何表现随机变数观测值的特征，并且研读三种重要的概率分布：均匀概率分布，二项分布与正态分布。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。