阶矩

A method of moment features testing components' states is put forward to solve this problem.First the components' barycentric coordinates and second-order centered moments are calculated.Then the inclined angles are obtained,on the basis of which the inclined components can be rectified.

针对这一问题，提出了一种矩特征检测构件状态的方法，该方法首先计算出图像中构件的质心坐标和二阶中心矩，然后求出构件的倾斜角度，根据倾斜角对处于倾斜状态的构件进行校正。

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。

Inaddition,we propose a so-called symmetric random weighting method to deal withthe case when the third central moment of underlying population is zero.

此外，我们还提出了所谓的对称随机加权法以处理总体三阶中心矩为零的情形。

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。

This algorithm firstly calculates the fourth-order cumulant and second-order central moment of the window and identify noise threshold. Later it adaptively adjusts the filter windows and right value according to the number of the noise points in the window.

算法首先计算窗口的四阶累积量和二阶中心矩并确定噪声点阈值：然后根据窗口内噪声点个数自适应调整滤波窗口，自适应计算权值；最后对噪声点逐点滤波。

The fast algorithm for computation of Zernike moments and normalization method are used to calculate the initial shape feature.

更多ike矩的参数n和m查询计算，减少了系数计算和半径幂次重复计算，对同一幅图像的多阶Zernike矩计算速度明显提高。

The TST was applied to multi-scaling vector to increase it's approximation order, and with PR condition, the dual of transformed multi-scaling vector was obtained. Then the special TST was taken for this dual, the dual of original multi-scaling vector with higher approximation order obtained, finally the multi-wavelet function with higher vanishing moment maybe constructed.

我们先对已知的尺度向量进行双尺度相似变换，以提高其逼近阶，再求出变换后的尺度向量的对偶，对这个对偶再进行特定的双尺度相似变换，就可得到原尺度向量的有高逼近阶的对偶，从而可能得到具有高阶消失矩的多小波函数。

Order determination is accomplished in two stages, i.e., the AR order is first determined by the minimum eigenvalue of overdetermined instrumental variable product moment and the MA order is then estimated by the minimum eigenvalues of a covariance matrix derived from the observed data.

该方法将ARMA模型的结构辨识分两步进行：首先利用超定辅助变量乘积矩(0IVPM)的最小特征值确定自回归部分的阶，然后利用协方差矩阵的特征值估计滑动平均部分的阶。

Watermark is inserted into perceptually significant Krawtchouk moments of original, and watermark based on Krawtchouk moments is local.

水印信号嵌入到图像的低阶Krawtchouk矩中，这种基于Krawtchouk矩的水印算法是局部水印技术。

through making use of the reciprocal statistical fluctuation and the confirmed experimental data of the mass and charge of bose hadrons,to improve the research of the mass effect of the high order integral calculus connection of hadrons multiple number distribution.

本文通过利用bose强子的倒易统计起伏和质量与电荷证认数据来改进构造多重数分布的高阶积分关联的质量效应的研究，不仅质量效应被明显地揭示出来，而且说明高阶关联的实验数据，积分关联参数、奇斜度、峭度和统计矩是质量效应的理论基础，同时半群对称性的兰道不等式也得到了实验的支持。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。