exam1

功能为求解系数矩阵为三对角矩阵或者循环三对角矩阵的线性方程。 输入的四个参数均为行向量，分别对应系数矩阵的上副对角线，主对角线，下副对角线，以及方程等号另一侧的常数矩阵(The four parameters of the input are line vectors, which correspond to the upper diagonal lines of the coefficient matrix, the main diagonal line, the lower diagonal line, and the constant matrix on the other side of the equation.)

说明：  导入matlab后添加另一个gearsolve函数，使用ode45进行t为0.001：0.001：1000和刚度ky数组，即可获得齿轮组的全自由度运动图像(After importing MATLAB, add another gearsolve function, use ode45 to do t = 0.001:0.001:1000 and stiffness KY array, then the full degree of freedom motion image of gear set can be obtained)

说明：  实现快速分数阶傅里叶变换功能。分数阶傅里叶变换是整数傅里叶变换的普遍形式，可用于光的菲涅尔衍射模拟。(The function of fast fractional Fourier transform is realized. Fractional Fourier transform is a general form of integer Fourier transform, which can be used to simulate Fresnel diffraction of light.)

说明：  超短脉冲在光纤中传输产生各种非线性效应，影响因素包括激光器的高斯脉冲，本模拟是初始啁啾脉冲的脉冲形状。(The transmission of ultrashort pulses in optical fibers produces various non-linear effects. The influencing factors include the Gaussian pulse of the laser. This simulation is the pulse shape of the initial chirped pulse.)

计算不同高度下大气湍流对空间光到单模光纤的耦合效率。(The coupling efficiency of space to single-mode fiber in the atmospheric turbulence is calculated at different heights.)

用于计算传热学五种常见对流扩散数值计算对比(Numerical comparison of five kinds of convection diffusion)

说明：  基于晶体塑性自洽理论 vpsc 模拟多晶体塑性变形的织构演化(Texture evolution of polycrystalline plastic deformation simulated by vpsc based on crystal plasticity self consistent theory)

利用matlab软件的Curve Fitting工具对声速剖面进行拟合，仿真其真实情况，同时对三维数据进行了仿真拟合。(The sound velocity profile was fitted by the Curve Fitting tool of Matlab software, and the real situation was simulated. At the same time, the three-dimensional data was simulated and fitted.)

说明：  根据塞米尔方程，计算不同波长下钽酸锂晶体折射率。以及相关文献(Calculate the refractive of LiTaO3)

说明：  For the model of indoor air distribution tuyere proposed by Professor Zhang Tengfei, this paper is UDF code for fluent simulation.