PID-algrithm

分数阶傅立叶变换程序总结，共有6个程序。(Fractional Fourier Transform program summary, a total of six procedures.)

vc++实现编译原理中的LL(1)文法的编译过程,非常好用.(vc realization of the principle of compiler LL (1) grammar compiler course, very handy.)

说明：  关联维数求解，大组件构建，可以快速得到关联维数的值。(The value of correlation dimension can be obtained quickly by solving the correlation dimension and constructing large components.)

说明：  遗传算法反演程序源代码，主要反演瞬变电磁数据(Code for GA)

正入射的自由曲面透镜设计，计算获得透镜的二维坐标(The free-form surface lens is incident on the design, the two-dimensional coordinates of the lens calculated)

用于模拟混凝土单元的弹塑性模型，并有损伤变量，在ABAQUS中umat中输入弹性模量，泊松比与屈服应力即可。(The elastic-plastic model for the simulation of concrete unit, and the damage variable in the ABAQUS umat enter the elastic modulus, Poisson' s ratio and yield stress can be.)

数值模拟方腔内Rayleigh-Benard对流。采用交错网格投影法，能量方程采用松耦合方法。(Numerical Simulation of square cavity Rayleigh-Benard convection. Using staggered grid projection method, the energy equation using loosely coupled approach.)

music高阶谱分析算法，IDW距离反比加权方法，BP神经网络用于函数拟合与模式识别。( music higher order spectral analysis algorithm, IDW inverse distance weighting method, BP neural network function fitting and pattern recognition.)

上三角或下三角矩阵也有大部份的元素不储存值（为0），我们可以将它们使用一维阵列来储存以节省储存空间，而对称矩阵因为对称于对角线，所以可以视为上三角或下三角矩阵来储存。(Upper or lower triangular matrix or a large majority of elements are not stored value (0), we can use them to store a one-dimensional array in order to save storage space, and because the symmetrical diagonal symmetric matrix, it can be regarded as the or lower triangular matrix storage.)

正入射的自由曲面透镜设计，计算获得透镜的二维坐标(The free-form surface lens is incident on the design, the two-dimensional coordinates of the lens calculated)