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This paper introduces a criterion of linear system stability , which is de rived from the relationship between matrix trace and matrix characteristic value and the analysis of companion matrix .

通过矩阵迹和特征值的关系,以及对友矩阵特性的分析,本文导出一个线性系统稳定性的算法,它简单实用,收敛快,准确度高。

In the final stage of the algorithm, the real and imaginary parts of the ith eigenvalue of a matrix are one-to-one related respectively to the direction cosines of the ith source relative to the x and y-axes.

在算法最后阶段构造一个矩阵,其第i个特征值的实部和虚部分别与第i个信号源相对X轴和Y轴的方向余弦一一对应。

The curvature radius and vehicle speed effects were analyzed based on the dynamic amplification factor of a curved-bridge considering the traveling eccentricity of vehicles.

内力和位移的动力放大系数对曲率半径的变化的敏感性各不相同,当曲率半径小于某个特征值后,动力放大系数变化很大。

Experimental research on the vibration of single slab and multi ones set in the arch ring is carried out in the first time. Slab vibration divisions along the water flow are proposed and their lists are determined. Laws of vibration distribution along water flow, across the arch ring, in time zone and frequency one are established. The most dangerous condition to slab's stability is obtained by comparing slab vibration in the different downstream depth.

首次对反拱水垫塘拱圈弹性单、多底板块的振动特性进行了试验研究,提出了拱圈底板块沿流程的振动分区,给出了各振动区的界限,得到拱圈单、多底板块振动特征值沿流程及沿拱圈的分布规律,底板块振动的时域和频域特性,对不同下游水位的振动特性进行了比较,给出了对拱圈底板块的稳定最不利的条件。

By using eigenvalue method and Bessel functions, the closed solutions of 3D transient temperature field in each layer of the cylinder were deduced.

利用特征值法和Bessel函数,导出了各层柱体中三维瞬态温度场的封闭解析解。

This is a vast collection of computational algorithms ranging from elementary functions like sum, sine, cosine, and complex arithmetic, to more sophisticated functions like matrix inverse, matrix eigenvalues, Bessel functions, and fast Fourier transforms.

MATLAB 的工具箱函数库收集了大量的数学函数,从求和,正弦,余弦以及复杂的算术运算等基本函数,到矩阵求逆,矩阵求特征值,贝塞尔函数和快速傅里叶变换等复杂函数。

So we make the linear regression multianalysis between eigenvalues of bird distribution and plant elements, the results show that bird distribution has remarkably linear relation to average height of top tree, arboreal cover, shrub cover, diversity of horizontal and surrounding habitats.

因此运用植物群落学、数理统计分析方法,对可能影响鸟类分布特征值的植物景观因子及其它因子,进行多元线性回归分析,结果表明园林空间鸟类分布与乔木上层平均高度、乔木层盖度、灌木层盖度、水平生境多样性和周围生境复杂程度有显著线性关系。

In the traditional AdaBoost method,the weights are updated based on the weak classifier's overall error rate, this article proposes one kind of the method which unifies the level of difference between the threshold and the feature value of the weak classifier with the weak classifier's overall error rate. Compared to the method which only based on the overall classification error rate to update the weights,this method can achieve higher detection rate while reduces the mistaken-detection rate.

在传统AdaBoost方法中,权重是根据弱分类器的整体错误率来更新的,本文提出了一种将弱分类器的阈值与特征值相差程度和弱分类器的整体错误率相结合来更新样本权重的方法,相比较只根据整体分类错误率来进行权重更新的方法,这种方法可以在降低误检率的同时达到较高的检测率。

According to the distances, the SPWUG algorithm computed the initial partition of the coarsest graph by extending the Laplacian spectral graph theory from the unweighted undirected graph into the weighted undirected graph.

SPWUG算法借助Laplacian矩阵次小特征值对应的特征向量,刻画了节点间相对距离,将基于非赋权无向图的Laplacian谱理论在图的剖分应用方面扩展到无向赋权图上,实现了对最小图的初始剖分。

The soliton hierarchies associated with the modified second order polynomialeigenvalue problems can be factorized into the commuting x- and 〓-constrainedflows, the r-matrices and classical Poisson structures for the x- and 〓-constrained flows are constructed.

与修正的二阶多项式特征值问题相联系的孤立子方程族可以被分解为相互交换的x-和〓-约束系统,本文求出了约束系统的r-矩阵和经典Poisson结构。

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