cosine series

Based on such a pipeline corrosion model, an elastic foundation beam model is employed to express the seismic displacement and stress of pipeline as orthogonal cosine series.

在此基础上，根据弹性地基梁模型，将管线周围土体位移正交展开为余弦级数的形式，获得了地震作用下腐蚀管线位移反应和应力反应的解析表达式。

The flexural problems of orthotropic rectangular plate with four free edges rested on elastic foundation have been discussed in this paper and analyzed by the Fourier trigonometrical cosine series and double trigonometrical cosine series.

本文利用Fourier双三角余弦级数和单三角余弦级数，讨论和分析了弹性地基上四边自由正交各向异性矩形板的弯曲问题。

L1-convergence of Fourier cosine series with coefficients of bounded variation had been researched in [ 1].

文献[1]的定理2中，研究丁有界变差系数的条件下，Fourier余弦级数的L~1收敛问题。

Definition of hyperbolic sine and hyperbolic cosine by a series of expansion powers

双曲正弦和双曲余弦的幂级数定义

We propose to use the sine cosine function series as the fundamental variables and to apply optimum regression analysis to the experimental data.

本工作引入正余弦函数系对实验数据作最优回归分析。

Firstly, Airy stress function and the distributions of the membrane forces are determined by the combination of double cosine series.

首先采用双重余弦函数的组合确定了面内冲击矩形薄板的艾雷应力函数和中面力的分布；

It is showed that, these sample processes accurately reflect the prescribed probabilistic characteristics of the evolutionary power spectral density function when the number of the terms in the cosine series is large enough;

可以证明，当级数项数足够大时，模拟的样本过程可准确地反映渐进功率谱规定的性质；