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平面波与涡旋光束干涉的干涉图样，可以用来制作全息图，从而产生涡旋光束(Interference pattern of plane wave and vortex beam interference, can be used to produce hologram, resulting in vortex beam)

高斯正算坐标程序计算高斯投影的正算问题克拉索夫斯基椭球(Gaussian count is calculated coordinates of the Gaussian projection is counting police used batons for dispersing ellipsoid)

自己编写的期望最大化（EM）算法的MATLAB实现，里面有较为运行方法和程序说明，对新手有很好的帮助( I have written the expectation-maximization (EM) algorithm in MATLAB, which has run more methods and procedures described, there is a good help for the novice)

伪随机序列（N=4的M序列）的C语言编程实现，可以应用于相关分析法和最小二乘辨识的输入信号。(Pseudo-random sequence (N = 4 M-sequence) of the C programming language, can be used in correlation analysis and least squares identification of the input signal.)

说明：  下三角复矩阵求逆的ASIC设计及实现 论文 pdf(Lower triangular complex matrix inverse of the ASIC Design and Implementation of)

奇异值快速分解程序，相比其他奇异值分解程序，速度快，解的精度高。(Fast singular value decomposition process, compared to other singular value decomposition process, fast, high precision solution.)

说明：  共轭梯度法（Conjugate Gradient）是介于最速下降法与牛顿法之间的一个方法，它仅需利用一阶导数信息，但克服了最速下降法收敛慢的缺点，又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点，共轭梯度法不仅是解决大型线性方程组最有用的方法之一，也是解大型非线性最优化最有效的算法之一。 在各种优化算法中，共轭梯度法是非常重要的一种。其优点是所需存储量小，具有步收敛性，稳定性高，而且不需要任何外来参数。(Conjugate gradient method Gradient) is a method between the steepest descent method and Newton's method. It only uses the first derivative information, but overcomes the disadvantage of slow convergence of steepest descent method, and avoids the disadvantage of storing and calculating Hesse matrix and solving inverse of Newton's method. Conjugate gradient method is not only one of the most useful methods to solve large-scale linear equations, but also the most effective method to solve large-scale nonlinear optimization One of the algorithms of. Among all kinds of optimization algorithms, conjugate gradient method is very important. It has the advantages of small storage, step convergence, high stability and no external parameters.)

内插高程点，CASS不提供插求高程点功能，我们手工输入容易出错，且极度不方便，。 此程序用VBA编写，界面操作，按设定的比例自动计算需内插的个数并注记。(Interpolated elevation points)

计算光子晶体的源程序，基于fdtd 算法，很有帮助(photonic crystal calculation of the source, based on fdtd algorithm, helpful)

c++运算符程序编写运用，包括+，-，*，/，>>,<<(c++ operator programming use, including+,-,*, /, > > , < < )