反问题的求解常常需要转化为非线性优化问题，其目标函数定义为观测数据与模型数据之间的残差平方和。
The solution of inverse problem usually requires nonlinear optimization of an objective function describing the difference between measured and simulated data.
通过设计一个平方和函数，使蜡沉积速率的计算值与实测值的残差平方和为最小的优化数学模型成为一个无约束的非线性规划问题。
The paper designs a sum of square function, which is an optimization mathematical model that makes the residual sum of squares of wax deposition rate between the calculated and the measured minimum.
即把一元非线性回归和多元线性回归结合起来，构造一个混合回归模型，这样就减小了模型的残差平方和，从而提高预报的准确性。
We combine unitary nonlinear regression with multivariate linear regression, it can reduce the error sum of squares of the model and improve the precision of forecast.
残差平方和的减少在各种场合有所不同，但呈现出一定的规律性。
The reduction appears some regularity in spite of it's variation in various situation.
利用BIC准则及残差平方和最小原则得到振梁加速度计的最佳误差模型。
The rules of BIC and minimum residual sum of squares are used to gain the optimum error model.
用岭迹分析及平均残差平方和准则筛选影响蓄积估测的主要因子；
The main research methods:(1) Screening the principal arguments influencing stock estimation by utilizing ridge trace analysis and the principle of residual mean squares.
以三维有限元模拟的应变值与三轴压缩实验观测应变数据残差平方和最小为参数反演的目标函数。
The objective function was defined as minimization between strains obtained from finite element method and ones observed from three-axial compression test in laboratory.
以三维有限元模拟的应变值与三轴压缩实验观测应变数据残差平方和最小为参数反演的目标函数。
The objective function was defined as minimization between strains obtained from finite element method and ones observed from three-axial compression test in laboratory.
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