在最小二乘法首次描述卡尔弗里德里希·高斯约1794年。
The method of least squares was first described by Carl Friedrich Gauss around 1794.
在最小二乘法的基础上采用中心移动逐步搜索，能够不需试探便可确定搜索方向。
On the basis of the least squares, a center moving method by point to point searching can confirm the direction of the moving without probe.
用最小区域法求直线度误差，是在最小二乘法的基础上探讨的一种符合最小条件的新方法。
Computing straightness error on the basis of least square method by way of smallest field method is new method in exploring the minimum condition.
作者在最小二乘法的基础上，提出分段直线拟合算法来代替多项式曲线拟合，从而达到简化数学模型的建立和减少计算量的目的。
The author proposes a sectional line fitting to re - place the polynomial curve fitting, which results in simplifying establishment of mathematical model and reducing the amount of calculation work.
在介绍了基于最小二乘法的多元线性回归建模方法后，建模了机床的热变形实时预测模型。
After expounding the modeling method of multiple linear regression based on least square algorithm, the thermal distortion model is modelled.
在水泵的选型或运行中，通常采用多项式的最小二乘法或根据假设的函数关系来拟合水泵性能曲线。
Least square method of polynomial or the method based on the given function are used to fit pump characteristic curve in pump selection or operation.
在大型线性回归分析中，由于设计矩阵的病态使得经典的最小二乘法失去了优良性。
The superiority of the classical least square method is lost due to the morbid of designed matrix in large-type linear regression analysis.
通过实例分析了最小二乘法原理在化学数据处理中的应用。
The Application of least square method in chemistry data treatment is analysed through two examples.
在研究整体最小二乘法的基础上，分析摄像机成像误差的统计特征，明确误差对基础矩阵估计算法的影响。
This paper analyzes the statistical characteristics of camera imaging error based on studying total least squares, and clarifies the error effect on estimating fundamental matrix.
作为常规的处理信号估计的方法，递归最小二乘法具有能够在估计的时候产生相对比较小的误差。
Act as routine dispose signal estimation route to, recursion least square method possess in a position to at approximate time bring relative comparison small error.
在光学系统优化设计的过程中，应用阻尼最小二乘法和适应法解决了大相对孔径、低畸变和MTF匹配等问题。
In optimized design, damped least squares method and adaptive procedure are used to get higher relative aperture, lower distortion and appropriate MTF, and so on.
本文介绍自回归谱分析法的另一种算法—前后向最小二乘法(LS算法)在亚毫米波付里叶变换谱中的应用。
The least square algorithm using forward and backward linear prediction (LS algorithm) for the autoregressive spectral estimates of the SMMW Fourier transform spectroscopy data is presented.
在RBF网络中，为了克服传统K均值聚类法局部寻优的缺陷，采用了正交最小二乘法选取rBF中心。
In the RBF network, to overcome the defects of traditional K-means scheme with local search, an orthogonal least square algorithm is used to select RBF center.
但在实际的测量中，测量数据不可避免地会带来误差，该文在分析和总结了自变量有误差的情况下，用最小二乘法处理实验数据时的几种方法。
But there is always error in measuring. When the independent variable has error-several methods to process data by least square method are discussed in this paper.
在工程数据线性拟合时，宜选用线性最小二乘法。
The linear least square method should be selected to fit engineering data to a straight line.
在作物水模型及作物水盐响应相关研究中，目前多采用最小二乘法进行参数寻优，动态规划法对系统进行优化。
At present, usually parameters and systems have been optimized by least square techniques and dynamic programming in the research of crop water model and crop response to water and salt.
在该方案中，通过梯度法获取隐层神经元的输入，使用线性最小二乘法训练各神经元的权值和阈值。
In this scheme, the inputs of hidden layer neurons are acquired by using the gradient descent method, and the weights and threshold of each neuron are trained using the linear least square method.
在研究支持向量机的建模理论和参数优化方法的基础上，将最小二乘法支持向量机工具LSSVM。
After studying on modeling theories of SVM and the parameter optimization of SVM, the Least Squares Support Vector Machines tool LSSVM.
在统计工具箱中，增加了交叉验证，特征选择，拟随机数和偏最小二乘法。
Cross validation, feature selection, quasi-random numbers, and partial least squares in Statistics Toolbox.
最小二乘法方程组在某些组合情况下也会出现严重的病态方程。
The least square simultaneous equations in some cases of combination also have the problem of the abnormal state equation.
反演过程归结为求解非线性最小二乘问题，在使用阻尼最小二乘法求解中提出了一种新的选取阻尼因子的算法。
The inverse process is equivalent to solve a nonlinear least square problem and a new way to choose damping factor is presented in utilizing the damping least square method.
本文研究了支持向量回归(SVR)在机动目标跟踪中的应用，并与传统回归方法最小二乘法(LS)进行了比较。
Tracking random targets with Support Vector Regression (SVR) is studied and compared with the Least Square (LS) estimate in this paper.
最小二乘法在化工中广泛用于数据拟合的线性和非线性回归及模型参数估值。
The least square method is popularly used in linear and non-linear regressions for data fitting and estimating model parameters.
在以往围岩蚀变的质量迁移研究基础上，本文提出了一种判定惰性元素的方法，同时结合等浓度线和加权最小二乘法；
The main purpose of this paper is to introduce a new method to study the immobile elements and mass transport of in geochemical process of wall-rock alteration.
在实验的基础上，通过对大量实验数据的综和分析，推导出稳态条件下COD降解动力学，以最小二乘法确定了动力学参数。
On the base of the experiment, through analyzing a large of experiment data, deduce the COD degradation dynamics on the steady condition, define the dynamics parameter k.
在解欧拉方程的过程中，常用的方法是最小二乘法求解。
In the process of calculating Euler's equation, the least squares algorithm is a common choice.
在分析中应用顶角法把传统的最小二乘法加以延伸来处理模糊地震震级。
And the conventional least-square method is extended to deal with fuzzy earthquake magnitude by the vertex method in the analysis.
通过方位精对准状态在北西天坐标系和东北天坐标系两次定位测量水平陀螺漂移，在水平精对准状态下记录北向速度并采用最小二乘法解算方位陀螺漂移。
Horizontal gyro drift is measured in state of azimuthal alignment by the two localization laws of the three directions of north, west and up, as well as east, north and up.
利用最小二乘法和龙格库塔方法求解含时薛定谔方程，研究了一维原子模型在超强激光场中的电离。
The ionization of one dimensional model atoms in ultra intense laser fields has been studied by solving time dependent Schrdinger equation using the least square fitting and the Runge Kutta methods.
在获得星体测量值后，建立数学模型，利用最小二乘法，对经纬仪的各单项差进行解算；
The mathematic model was established after obtaining the measurement value of the star and the errors of the theodolite were calculated by using the least square method.
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