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Based on the analytical solution of heat conduction equation, an equation of temperature wave of the type of Fourier series was derived to predict the response of temperature at variable depths to ground surface condition.

通过热传导方程对土壤中的传热过程进行分析,得到傅立叶级数表示的温度波方程,用于预测不同深度土壤响应地表条件而产生的温度变化。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习,内容包括线性代数,矩阵运算,特徵值问题,向量的微分与积分,一阶线性微分方程组,傅力叶级数和正交函数,傅力叶转换,并将对椭圆,抛物线,双曲线型式的偏微分方程式作概略介绍。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

The main research aspects are as following. 1. The zero-order differential operator is constructed, based on the inside interpolation collocation method.

一、在内延拓配点的基础之上,构造了0阶导算子去对函数进行相应的级数展开和插值,证明了它对边缘效应和Gibbs现象的抑制作用。

Considering that the temperature gradient through thickness is much higher than that through width and length of plate, in this model, the governing equation of heat transfer was simplified as a one dimensional differential equation, and the series function solution for temperature is established in Lagrangian coordinate setting.

在该模型中,考虑到轧件厚度方向的温度梯度远大于沿宽度和长度方向的温度梯度,因而将热传导方程简化为一维微分方程,基于拉格朗日坐标建立了温度场的级数解法。

Finally, based on the presented techniques, program is worked out to identify the parameters of Dirichlet series of BP2 model.

在此基础上编制的程序,可将BP2模式的Dirichlet级数形式的所有参数辨识出来。

In this paper the convergence of random dirichlet series under identicaldistributed and φ-mixing variables {Xn} satisfy the following|and other suitable conditions are studied and some new results are also given.

本文利用强大数定律和Borel-cantelli引理研究了随机狄里克莱级数为同分布的φ-混合序列,且满足,等条件时的收敛性,得到了一些新的结果。

With ideal sampling the method used in continues area can be used in discrete area , so we get the Discrete Fourier Series and Series Fourier Transform.

利用连续域的结论,通过理想采样,得到了离散傅里叶级数和序列的傅里叶变换,找到了离散域的频谱分析方法。

Then after the author researches the interaction problem of the partial derivative operators with respect to the two points P and Q, analytical expressions as well as series expansions of the kernel function within disturbing gravity field elements are determined, and their explicit expressions which can be applied practically are given for the first time.

深入研究了关于 P 和 Q 两点局部导数算子的相互作用问题,得到了扰动场元之间核函数和协方差函数的解析与级数展开式,首次给出了较为实用的明晰表达式。

Reactive moments distributed along the clamped edges of a rectangular plate by means of double sine series.

本文提供以双重三角级数解作用于矩形板的固定边的弯矩,以代替通常所用的叠加法。

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