Complete Orthogonal Function Series Expansion ( OFSE) method is generalized and applied to make research about the time evolution coupling process of fast and Alfven waves in coronal loops. 推广完备正交函数系(OFSE)展开方法,应用它研究冕环中无耗散扭转Alfven波和快波耦合的时变过程。
In this paper, through structure analysis by means of orthogonal function system expansion, a Fourier series solution for the bending problem of the rectangular plates with free edges on Pasternak foundation is reached. 应用正交函数系级数展开法分析结构的理论,以带附加补充项的Fourier级数作为挠度函数模式,求解了Pasternak地基上自由边矩形板的弯曲问题。
Learning Algorithms of Process Neural Networks Based on Orthogonal Function Basis Expansion 基于函数正交基展开的过程神经网络学习算法
By making use of the complete eigenfunction expansion forms ( EEF) in the interface crack problem and its pseudo orthogonal properties, the higher order weight function method is developed to calculate the expansion coefficients and the stress intensity factors of the interface crack. 从界面裂纹完备的特征展开式出发,利用伪正交特性,提出了计算界面裂纹特征展开式系数和应力强度因子的高次权函数法。
The random function theory is used in the paper. Taking the regional seismicity energy as the random function of space and time, the features of small seismicity field in Ningxia and its neighborhood region are studied by the analytical method of natural orthogonal function expansion. 应用随机函数理论,将区域地震活动能量看作是空间和时间的随机函数,采用自然正交函数展开的分析方法,对宁夏及邻近地区小地震活动场的特征进行了研究。
On the basis of learning algorithm based on orthogonal function basis expansion, genetic algorithm ( GA) was used to optimize learning rate and realized learning rate adaptive adjustment. 在基于正交基展开的学习算法基础上进行改进,采用遗传算法对模型训练的学习速率进行优化,实现自适应变速率的学习。