误差平方和

The basic principle of least-squares method is to choose the model parameters minimizing model error sum of squares, thus the name "least squares method."

最小二乘法的基本原理是选择模型参数极小化模型误差平方和，因此而得名"最小二乘法"。

The authors present a targets detection method based on the hierarchical clustering which constructs the similarity measuring function according the movement rule of stars and targets,finds the optimal separating hyperplane and classified amount by means of finding the inflexion of error square sum function,then distinguish the targets from stars and noises by two level hierarchical clustering.

提出了基于层次聚类的空间弱小目标检测算法，以星点到参考恒星之间的距离变化为依据，根据恒星和目标的运动特性构造相似性度量函数，通过寻找误差平方和曲线拐点的方法寻找最优分类曲面和分类个数，最后以两层复合分类将恒星、噪声和目标分离。

We gain the distributing instance as a whole by the spatial analyse of the daily、 mensal and annual precipitation.Then, we adopt mean error、 mean absolute error、 mean relative error、 and the root mean squared interpolation error and the correlative coefficient as the determinant standard of interpolation effect. The results show that the mensal precipitation effect of SIA is the best, and the daily precipitation effect is worse reversely.

然后，对年降水量、月降水量以及日降水量的SIA结果采用平均误差、平均绝对误差、平均相对误差、插值平均误差平方和的平方根误差以及相关系数作为判定插值效果的标准，并得到以下结果：月降水量的SIA效果最好，日降水的相对较差。

It is a kind of itertive regularization method,and has the function adjusting regularization parameters automatically,so it overcomes the difficulties when solving the regularization parameters.

因此，对于这样的反问题，最后都可归结为极小化某些刻画问题的地质特征的测量值与理论计算值的误差平方和的函数的优化问题，约束条件为x≥0。

The paper to analyzes because experiments "factor contribution rate".to conduct the research;Discovered "the pure factor from difference square" for the negative value is the statistic stochastic value result;When the factor function is not extremely remarkable,the factor contribution rate also is a negative value;By now should merge not the remarkable factor square the random error square,recomputation ANOVA as well as factor technical progress factor.

论文对析因试验中用于分析因子作用的"因子贡献率"进行研究；发现"纯因子离差平方和"为负值其实是统计量随机取值的必然结果；尤其当因子作用极不显著时，计算的因子贡献率常常也是负值；这时应该将不显著的因子平方和并入随机误差平方和，重新进行ANOVA以及计算因子贡献率。

It is concluded that the order number determines the precision of temperature extrapolation method, and it can be controlled when the quadratic sum of residual error between the opposite solving and the original measuring is minimum. For the specific surface temperature curve, it is derived with the temperature on the site 0.0129cm.

分析结果表明，阶数决定著外推测试的结果以及结果的精度，阶数选取不当甚至会出现错误的外推测试结果，但采用反面求解求得的拟合曲线与实测得的原值具有最小的剩余误差平方和，可以有效地抑制其影响。

Based on the order number 10, the quadratic sum of residual error is 533%, the extrapolating result is wrong. But with the order number 9, the quadratic sum of residual error is 0.673%, the result is right

对於表面特定温度为θ(0， t)的曲线，测得其0.0129cm处的温度变化规律反推，选取阶数为10时，剩余误差平方和为533%，外推结果错误，选取阶数为9时，剩余误差平方和为0.673%，外推结果正确。

A two-layer framework with particle swarms cooperative optimization and a mutation parameter is introduced by the QPSCO algorithm for larger searching scale and quicker convergence. Moreover I the residual sum of squares in least-square principle is introduced into the fitness function to enhance the fitting precision of the sensor position curve.

在QPSCO算法中，采用双层的多粒子群协同优化结构，同时引入参数变异策略，在扩大搜索范围的同时加快该算法收敛；将加权最小二乘法的误差平方和引入适应度函数中，以提高传感器位置曲线的拟合精度，从而实现传感器的优化配置。

The results show that the prediction errors of the variance and curve shape between the quasi consolidation model and hyperbolic model are small and with the verification of the hyperbolic model, the quasi consolidation model can give a better prediction of post-construction settlement of the loess subgrade.

结果表明：双曲线模型与似固结模型的误差平方和与预测曲线的误差均较小，能较好地反映黄土路基工后沉降的规律，两者相互印证，提高了工后沉降预测的可靠度。

To decompose the sum of square of residuals Qε into sum of square of error QE and sum of square of variation of repeat observation QL.

对残差平方和Qε进行分解为误差平方和QE和重复观测变异平方和QL。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。