样本函数

The coefficient from the balanced sample is somewhat higher than from the others but all are very similar, indicating that the increase in the importance of distance is widespread and not just a function of excluding new partners.

从均衡样本得到的系数多少高于从其他样本得到的系数，但是也都非常类似，表明距离重要性的提高是广泛的，而且不仅仅是一个不包括新伙伴的函数。

The paper consists of three parts. First, we give the calculation for every order central moment for the Logistic population, mean vector and covariance matrix of the order statistic of random sample from the Logistic population, and means of several special functions for the order statistic of random sample from the Logistic population. Secondly, we discuss the parameter estimation for the Logistic population. Finally, we solve the question about the goodness-of -fit test for the Logistic population.

研究的主要内容分三部分：第一部分是关于Logistic总体各阶中心矩、样本次序统计量期望向量与协方差阵及若干个特殊的样本次序统计量函数期望的计算问题；第二部分是关于Logistic总体分布参数的估计问题；第三部分是关于Logistic总体的拟合优度检验问题。

Weapply the kernel methods of regression functions and conditional density functions to obtain aseries ofβas the estimators ofβ.

回归函数核估计方法中，又分别提出了在选定连续样本点和离散样本点时的两种非参数估计模型，并对这两种模型做了详细的阐述。

In POT model, it used the technique of parameter estimator stability, making up for the limits of the currently popularly-used Mean Excess Function e, and the threshold quantitatively selected by Kurtosis Method has also been achieved, and solving the problem the illustration method couldn't be applied to.

特别是，在BMM模型中充分地考虑了子区间极值一般极限分布与极值序列极限分布之间的关系，测度了受子区间长度影响的极值VaR；在POT模型中运用参数估计量稳定性法弥补了目前普遍采用的样本平均超出量函数e法的不足，针对一些图解法无法适用的问题，实现了峰度法对阈值的定量选取，并对指数回归模型法、子样本自助法、序贯法等定量法进行了分析探讨。

The laminar flamelet model in combination with joint probability density function transport equation of mixture fraction and turbulence frequency is used to simulate fluctuating behavior of radiative source term in turbulent jet diffusion flames of hydrogen.

采用κ-ε湍流模型、标量联合的概率密度函数输运方程和层流火焰面模型相结合，模拟氢气自由扩散火焰中辐射源项湍流脉动特征。给出了主燃区内辐射源项湍流脉动的频率图。辐射源项的样本点分布集中，大约95%以上的样本落在其系综的±3倍方差以内，频谱图为单峰

Followed by the decomposition phase is optimal feature subset selection, in which the optimal feature subset acquired the best divergence is obtained according to interclass/intraclass distance of the training samples. This procedure is implemented by a Genetic Algorithm, with each possible feature subset encoded as chromosome. Fitness scores in GA are calculated and evaluated based on Jeffries-Matusita distance of the selected training samples.

然后，对这些线性光谱特征利用遗传算法结合训练样本计算类内/类间距离搜索最优分类子集，其具体染色体编码取可能的特征号，适应度函数基于样本平均Jeffries-Matusita距离计算。

As for the undivided linear sample space, the kernel function is needed to map onto another high dimension linear space.

对于线性不可分的样本空间，需要寻找核函数，将线性不可分的样本集映射到另一个高维线性空间。

The fault diagnosis of Fuzzy ANN is realized by the Neural Network Toolbox of MATLAB. The result is proved valid, but also proved easy to be trapped in the local extremum.

这里以BP网络为应用模型，把模糊化后的故障特征参数作为网络的输入样本，对样本数据训练、仿真，应用MATLAB提供的神经网络工具箱函数实现了模糊神经网络对设备故障的诊断，结果证明了该诊断模型的有效性，但也暴露出BP算法易陷入局部极值的弱点。

According to the actual circumstance of performance evaluation for mechanical products, the general neural network is reformed. Therefore, we construct the fuzzy neural network. This paper expresses membership function in the network by trapezium formulae .The indicators are fuzzed using the membership function .

网络中采用梯形函数的四元组形式构造模糊隶属函数，并用隶属函数的端点值和中间值作为样本，用改进的反向传播算法训练网络，得到与待评价产品情况相符合的权重值。

Based on researching into the classification mechanisms of feedforward single-layer radial basis function and linear basis function networks,the author presents the viewpoints that the RBF centers and widths should be determined through a self-learning procedure,that some new kernels naturally come into being according to which class the labeled patterns are misclassified to.

研究了前向单层径基函数网络和前向单层线性基本函数网络的分类机理，提出了RBF的中心和宽度应通过学习自动确定，在学习过程中根据错分样本被错分入的类别自动生成新的核函数这一观点。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。