阶乘的

In this paper, for m× n Loewner-type matrix or symmetric Loewner-type matrix with full column rank, we form special block matrix firstly and research their triangular factorization or of its inverse, and then get the fast algorithm of the minimal norm least squaresolution .

本文对于秩为n的m×n阶Loewner型或对称Loewner型矩阵L，通过构造特殊分块矩阵并研究其逆的三角分解或自身三角分解，进而得到了线性方程组Lx=b的极小范数最小二乘解快速算法，计算复杂度为O+O(n~2)，而一般方法的计算复杂度为O(mn~2)+O(n~3)。

For the sake of decrease of the computing time, modifying generalized moving least squares approximation is constructed under adding the residual of arbitrary high orders derivative only at the portion nodes.

为了降低计算工作量，构造了要求近似函数在全部节点处和任意阶导数在部分节点处误差的平方和最小的改进广义移动最小二乘近似。

For the sake of decrease the computing time, modifying generalized moving least squares approximation was constructed under adding the residual of high orders derivative only on the portion nodes.

为了降低计算工作量，本文构造了要求近似函数在全部节点处和任意阶导数在部分节点处误差的平方和最小的改进广义移动最小二乘近似。

First derivative combined with standard normal variate was used to pretreat spectra, and calibration model for ginsenosides had been built by partial least squares regression method.

标准正则变换结合一阶导数对光谱进行预处理后，采用偏最小二乘回归算法建立在线测量总皂苷浓度的近红外光谱校正模型。

The NIRS quantitative analysis model was developed for measuring MBM content in fish meal by using partial least squares. The initial spectrum was pretreated by standard normalized variate, 7 point smoothind and one derivative respectively.

应用偏最小二乘定标方法，在8 678.10~4 250.34cm^(-1)波数范围内，采用变量标准化、7点平滑和一阶导数对光谱进行预处理，建立了鱼粉中肉骨粉含量的NIRS定量分析模型。

By analysing the compute result of the quadratic approximation formula, we educe the conclusion that 3 is the best rank code for the quadratic approximation formula.

通过对最小二乘拟合公式实际计算结果的分析，得出了"拟合公式阶数取3为最佳"的结论。

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The strong convergene and convergence rate of the estimators are obtained.

对于乘性和加性噪声中的谐波信号，建立了一、二、三阶循环矩样本估计的统计性质。

On the ground that the covariance between the disturbing gravity field elements is not isotropic, the covariance matrix has a complicated structure (its submatrix being not repetitive Toeplitz matrix) and thus its degree cannot be degraded with transformation matrix method, so it cannot be put into practice. So far, the application of least squares collocation to the modeling and data processing of the horizontal disturbing gravity field observations has not been found in literature.

由于水平扰动场元之间的协方差并非各向同性，导致协方差矩阵结构复杂(子矩阵不是 Toeplitz 循环阵)，不能利用变换矩阵将其降阶，无法付诸实践，迄今尚无最小二乘配置理论应用于水平扰动场元观测量的模型化公式和数据处理方法。

Fast algorithms for the minimal norm least square solutions of linear equations which coefficients are m×n Toeplitz matrix are given.

给出了求以m×n阶Toeplitz矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法。

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。