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• The least square solution and minimum mean square error(MMSE) solution for roundness error and spindle error was derived by measurement matrix in frequency-domain.

这种方法利用频测量矩阵直接给出了圆度形状误差回转误差的最小二乘最小误差解。

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• The least square problem of the convolution result and real seismic data can be considered as the solution of a huge rarefactional matrix equation, which can be solved by singular value decomposition.

然后将其地震子波积，使其求解结果实际地震数据最小平方问题归结求解大型稀疏矩阵方程采用奇异位分解法求解

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• Successive approximation and least square collocation are used to find the solution of geometrically nonlinear bending problem of orthotropic rectangular plates.

用逐次逼近法最小二乘点法正交异性矩形薄板弯曲几何非线性

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• But in the specific solution, only the least square regression is needed to solve.

具体求解中只需最小乘法

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• A technique for sieving the overdetermined system is gived by utilizing least-square method and the unique solution with minimum-error is obtained.

采用最小二乘法求解矛盾方程组，可获得误差最小的唯一解。

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• The nonlinear least square method and functional condition extremum model are introduced to describe the problems and numerical solution of them is proposed.

首先确定了自由度组合指尖空间位置的映射，建立了求解上述问题最小二乘模型泛函条件极值模型，并给出数值解法。

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• We proved that each square quaternion matrix has at least one right characteristic principal value and its eigenvector, and a concrete solution was given.

证明了对元数矩阵至少存在一个特征，存在一个属于的特征向量给出了具体求解方法

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• The least - square method applied to CCD graph fitting is analysed, and a further solution of the problematic point in the application is given.

分析最小合法CCD采样曲线拟合中的应用，对应用中存在问题及其解决方法做了进一步的探讨。

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• Firstly, the error of fit must be defined for nonlinear least-square fitting of generalized geometry model. Then the nonlinear optimization algorithm can be used to obtain the optimum solution.

对于一般几何模型非线性最小均方误差合，首先必须定义拟合误差，然后采用非线性最优化方法求解最小误差意义下的优解。

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• Firstly, the error of fit must be defined for nonlinear least-square fitting of generalized geometry model. Then the nonlinear optimization algorithm can be used to obtain the optimum solution.

对于一般几何模型非线性最小均方误差合，首先必须定义拟合误差，然后采用非线性最优化方法求解最小误差意义下的优解。

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