最小值

To register two partially-overlapping mesh surfaces, the least median of squares estimator is adopted to estimate the rigid body transformation, which is composed of two parts of"generation of hypothesis"and "verification of hypothesis".

为配准两个局部重叠的网格面，采用最小平方中值估算器来计算刚体变换，它由"假设的产生"和"假设的验证"等两个部分组成。

Using a singular value decomposition of the total least squares method.

用的是奇异值分解的总体最小二乘法。

Based on specific requirement for the top-coal caving mining to the four-bar linkage ,a design method of the four-bar linkage is put forward in the paper in which the least difference function between the lemniscate locus and the power function curve is used as the main objective function.

基于综放工艺对支架四连杆机构的特殊要求，首次提出以双纽线与幂函数曲线之差值最小作为主要目标函数的数学模型，并在此基础上应用VisualBasic5 0编制了四连杆机构的优化设计程序，可以同时实现优化参数显示与优化结果的动态显

Simulation results demonstrate that it can lead to the convergence of the queue length to the desired value quickly and maintain the oscillation small.

仿真结果表明该方法可以使队列长度快速收敛到设定值，同时使队列震荡最小，结果也表明在网络条件变化的情况下，该算法优于模糊控制和变结构控制。

In order to reduce calculation error, the frequency distribution of average values is used to compute the mixed distribution's digital features of each component distribution, thereinto, the number of the component distribution is determined by AIC, choose the number that meets the minimum value of AIC as the component number of mixed distribution, and the other parameters are estimated by EM algorithm; Secondly, because each component distribution is corresponding to a kind of major gene genotype, according to the values of the average and variance of the each component distribution, we can use the limit error of the normal distribution to plot each individual into the correspondent component distribution, namely into correspondent major gene genotype. Then we regard each major gene genotype as a treatment level of one-way analysis of variances, and the one-way multivariate analysis of variance is carried out to calculate the covariance matrix of major gene effect, covariance matrix of polygene effect, covariance matrix of environment effect and so on; At last, combining the weights of the each component distribution of mixed distribution, we can calculate the variance of major gene effect, the variance of polygene effect, environmental variance and the genetic gain of the quantitative trait.

为减小计算误差，本研究采用均值的频数分布来计算各成分分布的数字特征，其中成分分布个数根据AIC准则，选择使AIC值达到最小的成分分布个数作为混合分布的成分分布数，分布中其它参数的确定利用EM算法来估计；其次，每个成分分布对应一种主基因基因型，根据各个成分分布的均值和方差，利用正态分布的极限误差将每个个体划分到相应的成分分布中，即相应的主基因基因型中，将每种主基因型作为单因素方差分析的一个处理水平，对其进行单因素的多元方差分析，分别计算主基因效应协方差阵、多基因效应协方差阵、环境协方差阵等参数；最后结合混合分布中各成分分布的权重即各主基因基因型的分离比例，计算主基因效应方差，多基因效应方差和环境方差，以及遗传力等参数，进而计算该数量性状的遗传进展。

The linear fractional transformation representation of an uncertain aeroelastic system is formulated to perform model validation and robust flutter analysis.

建立不确定气动弹性系统的线性分式变换模型，给出了频域的模型有效性检验方法，对有效模型集进行参数化并将不确定性幅值最小的模型集求解归结为优化问题。

Singular value decomposition and Least Squares QR factorization are two basic methods for a linear equation group in seismic tomography.

奇异值分解法和最小平方QR分解法是求解反演成像中线性方程组的两种基本解法。

The expression of the least-squares solutions of the matrix equation A~TXA — B on the linear manifold is derived, too.

另外，利用矩阵对的商奇异值分解，给出了它的广义次对称最小二乘解的表达式。

Based on the explicit formulation of matrices on the given linear manifold, the general expression of the solutions to this least squares problem is obtained by using the method of the singular value decomposition and the unitarily invariant of the Frobenius norm.

在推导出所给线性流形中任意矩阵的显式表达的基础上，利用奇异值分解和Frobenius范数的酉不变性得到了该最小二乘问题通解的一般表达式。

In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。