查询词典 nonlinear equation

A closed-form equation is derived between the normalized mutual information and the augmented confusion matrix for the generic classification problems.

为互信息与传统分类性能指标作出了初步理论方面解释。

Through comparing the process of working out simple three-dimensional equation in "Jiu Zhang Suan Shu" with the elementary line transformation of augmented matrix,we got the conclusion that Gaussian elimination is a traditional method of china.

通过《九章算术》解三元一次方程组的过程与增广矩阵的初等行变换进行对照，得出高斯消元法是中国古法的结

Considering the numerically more stable properties of Normal Equation with Constraints and Hachtel's augmented matrix method for SE, all telemetered and virtual measurements are classified reasonably. Using blocked and sparse matrices technology, a new SE algorithm with computing speediness and numerical stability is proposed.

借鉴WLS估计中带等式约束的正规方程法和Hachtel法数值稳定性更强的优点，将遥测量和虚拟量测合理分类，并采用分块和稀疏矩阵技术形成了一种计算速度快、数值稳定性好的状态估计改进算法。

By means of analyzing the noise error, it is proposed to use an algorithm of singular value decomposition total least squares to conduct the interharmonics estimation, namely taking the noise interference at both sides of the matrix equation into account simultaneously and solving the minimum norm problem by least square method under such condition. In the proposed algorithm by means of singular value decomposition of a new augmented matrix and by use of a simple and practical method to determine the number of principal singular value related to signal to noise ratio, the storage calculation of right singular matrix is performed, thus a more accurate frequency estimation of interharmonics can be obtained.

通过分析噪声误差，提出采用奇异值总体最小二乘(singular value decomposition total least squares，SVDTLS)算法进行间谐波频率估计，即同时考虑矩阵方程两边的噪声干扰，采用SVDTLS算法求解该情况下的最小范数解，通过对增广矩阵进行奇异值分解(singular value decomposition，SVD)，采用简单实用的与信噪比相关的主奇异值个数确定方法对分解的右奇异矩阵进行存储计算，得到了较精确的间谐波频率估计结果。

Derive recursive least squares method, recursive general least squares method, recursive augmented matrix method, recursive multiple-stage least squares method and recursive maximum likelihood method based on recursive Householder transformation by applying the three real-time solutions of overdetermined linear equation to difference model.

将线性矛盾方程组的三种实时解法应用于差分模型，导出了基于Househol-der变换的递推最小二乘法、递推广义最小二乘法、递推增广矩阵法、递推多级最小二乘法和递推极大似然法。

In the end, we obtain an explicit expression of the spin atom autocorrelation function using flow equation theory.

此外，利用流方程方法得到了原子自旋算符在流中的变化规律及它的自关联函数。

The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.

这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。

Based on the autoregression equation for the standard variation of the residual errors obtained by ordinary regression analysis, the least square estimates and the maximum likelihood estimates for the regression, the autoregression and the moving average coefficients are derived.

提出一种异方差回归－时序模型，通过建立回归分析残差的标准差自回归方程，给出回归系数、自回归系数和滑动平均系数的最小二乘估计和极大似然估计。

We can ex-tractn roots accurately and easily to each definite equation by the means of converting, discriminat-ing and substituting the auxiliary angle and so forth into the relevant radical formula.

对每个给定方程，通过转换、判别等方式，将其转换出的辅助角等代入配套求根公式，就可求出准确而简便的n个根。

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane. By substituting the mapping function into it governing boundary equation, the complex stress functions can be obtained as

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。