查询词典 least squares

Revised geodesic line method is conducted, by which the cutting patterns analysis are performed. A kind of smoothing method of the least squares is introduced to process the membrane piece in order to satisty the need of accuracy and engineering practice.

提出了一种修正测地线法，利用该方法对薄膜充气构件进行了裁剪分析；引入了一种最小二乘光顺方法，对薄膜裁剪块进行了光顺处理，以便裁剪分析的结果满足精度和工程两方面的需要。

Finally numerical examples with three shape functions are analyzed in detail. The numerical examples show that the modifying generalized moving least squares approximation has high accuracy not only for function value but also one or higher orders derivative.

最后，通过多个数值算例的计算比较了三种形函数的计算结果，结果显示本文提供的MGMLS方法关于函数值和各阶导数值都具有很高的精度。

A simple polynomial approach for A Class of nonlinear system modeling is presented. By this, the input-output data are firstly changed into [0, 1] by using topological homeomorphism conversion; then an initial polynomial model is selected. The parameters of polynomial model are estimated by using recursion least squares method. A final polynomial model is obtained by repeatedly estimating parameter and eliminating redundant terms.

给出一类非线性系统的实现简单的多项式逼近的建模方法，在此方法中，将输入输出数据通过拓扑同胚变换，变换到[0，1]区间内，用多项式逼近的方法进行建模，对初始给定的多项式模型，通过反复的参数辨识、去除模型中的冗余项，得到非线性系统的多项式逼近模型，再利用拓扑反变换，将数据还原回原始数据区间。

The following conclusions have been made in this paper.(1) Based on CO_2 flux data of eddy covariance, variation characteristics of gross primary productivity in four flux observation stations were studied, which are an alpine meadow, an alpine shrub meadow, a swamp alpine meadow and a steppe alpine meadow at Dongxiong. The results show that photosynthetic capacity of the alpine meadow is the highest, and the annual total GPP is 652.2g C/m~2. Daily-differencing approach is used to analyze the random error of CO_2 fluxes measurements. The results show that the distribution of random error follows more closely follows a double-exponential, rather than a normal distribution, capturing the high peak and thick tail, and the random error varies with environment variables, which violates the assumptions for the ordinary least squares fitting with normality and homoscedasticity, consequently, we introduce maximum likelihood method for parameter optimization.

本文主要在以下几个方面开展工作并获得了一些认知和结论：(1)通过分析样带区域内高寒草甸、高寒灌丛、沼泽化湿地和草原化高寒草甸四个通量观测站点草地生态系统总初级生产力变化特征，研究结果表明HBBT矮嵩草草甸生态系统植被光合作用能力较强，年GPP总量为652.2 gC/m~2，明显高于其他三种生态系统；通过利用"单塔日变化法"获得四站点通量观测数据随机误差，结果表明通量观测随机误差概率分布呈现尖峰厚尾的特征，与正态分布相比，更服从双边指数分布，进一步分析表明通量观测随机误差随环境变量(风速、温度和光合有效辐射)的变化而变化，这违背了普通最小二乘法进行生态过程模型参数优化正态分布且误差同质的假设，因此本研究中引入最大似然法进行生态过程模型参数优化。

Tree's volume; biomass; nonlinear least-squares regression; power function model; hyperbolic function model

材积；生物量；非线性最小二乘回归；幂函数模型；双曲函数模型

This can be a least-squares plane or a plane passing through the center of gravity of the corners and is parallel to the mid-rulings of the hyperbolic paraboloid determined by the corners.

这可以是一个最小平方平面或者是一个通过拐角的重心并且平行于由拐点决定的双曲线抛物面的半轴的平面。

An accurate and simple computational method was developed to determine the apparent activation energy and material parameters of the hyperbolic sine constitutive equation based on one parameter nonlinear least squares regression.

基于单参数非线性最小平方法，提出了一种优化求解双曲线本构方程中表观激活能和其他材料常数的方法。

Keywords hyperbolic sine equation;flow stress;activation energy;non-linear least squares

双曲线方程；流变应力；激活能；非线性最小平方

Each end point of an imaginary linear regression trend line makes up a path for this curve. All these imaginary trend lines are placed at nearest distance to the closing prices through 'least squares' method applied to the input set bars.

每一根绘制的线性回归趋势线的末端标志着曲线的路径，而所有的趋势线以价格的最小距离摆放，通过输入的K线的最小方差方法。

The conventional matrix decomposition methods have been used to find the least-squares solutions of the abovementioned inconsistent matrix equations over given matrix set in many references, and the general expressions of these solutions were obtained. But it is difficult to determine the solution of Problem I by utilizing these expressions due to the fact that the orthogonal invariance of Frobenius norm does no hold for the general nonsingular matrices.

对于求上述不相容矩阵方程在给定矩阵集合上的最小二乘解，很多文献中利用传统的矩阵分解方法得到了其通解表达式，但是利用该表达式很难得到问题Ⅰ的解，这是因为一般的非奇异矩阵并不满足Frobenius范数的正交不变性。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。