Chase

//给定整数n，产生所有[2n]上的匹配（matching） //将其视为一个所有块大小均为2的集合分拆 //以a_i表示其第i个元素所在的集合号 //输出格式为 a1 a2 a3 ... //满足 //a_{i+1} <= max { a1,a2,...a_i } + 1 (//a given integer n, have all [2n] on the matching (matching)// will be considered as an all pieces are two sets of a split// a_i said in its i elements of a collection of lies// output format for a1 a2 a3 ...// meet// a_ i (a))

说明：  编程观察无穷级数 1/n的收敛性。 采用 IEEE 单精度浮点数，观察当 n 为何值时求和结果不再变化，将它与理论分析的结论进 行比较 (注：在 MATLAB 中可用 single 命令将变量转成单精度浮点数)。(Programming observation of convergence of infinite series 1/n)

Fortran编写的VOF经典算法，SOLA-VOF(VOF classical algorithms written in Fortran, SOLA-VOF)

4种计算积分的方法，并对精度进行比较，梯形法则，simpson法则(4 methods for calculating integral)

用于求解非线性代数方程的全部解的函数，提供给大家学习使用(solutions, available to everyone learning to use)

对于PID算法给予了通俗易懂的讲解，有利于初学者快速掌握PID的要领(I give the PID algorithm the understandable explanation，which will help beginners to quickly master the PID essentials)

TM极化入射情况，海面上有散射目标，雷达后向散射仿真，基于矩量法MoM和电磁散射理论。(EM scattering)

膜渗透 FUENT UDF 气液两相流 (Gas-liquid two-phase flow membrane permeation FUENT UDF)

针对多径效应的影响，提出了一种基于矩阵束的MIMO 雷达低仰角快速估计方法。该方法同时考虑了发射多径信号和接收多径信号，采用单样本数信号矢量构造了一个前后向矩阵束，并利用两个酉矩阵对该矩阵束进行降维处理，最后采用广义特征值分解的总体最小二乘法来估计目标角度。算法不需要估计数据协方差矩阵，可在低 信噪比和单样本数情况下，有效地克服多径效应，实现同时多目标低仰角估计，相比最大似然算法，避免了谱峰搜索，计算量小。仿真结果验证了该算法的有效性。(To overcome the multipath effect, a fast algorithm for low elevation estimation for MIMO radar via matrix pencil is proposed. The signals both in transmit multipath and receive multipath are considered. Firstly, a forward-backward matrix pencil is formed based on the single-sampled vector. Secondly, the reduced-dimensional processing is applied to the matrix pencil via two unitary matrices. Finally, the generalized eigen-decomposition is employed to estimate the low elevation in multipath environments directly. Without the covariance matrix estimation, the proposed method can overcome multipath effect effectively in case of low SNR and estimate multi-target simultaneously. Compared with Maximum Likelihood (ML) method, it avoids spectrum peak searching and reduces the computational burden. Numerical results verify the effectiveness of this method)

用于有限元软件Abaqus分析材料断裂的粘结区模型（CZM）子程序，由著名学者高彦飞编程，具有很高的参考价值。(ABAQUS allows the addition of a variety of user subroutines. We define a user element by UEL. Information of element and nodal displacements can be obtained from ABAQUS, and we update the stiffness matrix and the residual vector following the cohesive zone law. More coding details can be found in ABAQUS manual.)