frictional model and umat

采用随机数产生2到10阶的随机矩阵，并实现了矩阵的相关运算，比如：加减，乘除，求逆，求行列式(Using random Numbers generated random matrix from 2 to 10 order , and achieving relative to the implementation of the matrix operations, such as: add and subtract, multiple and divided, inverse and determinant)

这是用于将格点数据转化站点数据的fortran程序，比较详细，可以画图(This is a fortran program for the grid data into the site data in more detail, you can draw)

两种涡旋光束的线性强度、强度密度和三维立体图，改变拓扑荷可以改变强度分布。(two kinds of vortex beam)

fft傅里叶快速变化程序，里面说的很清楚，很使用。(FFT Fourier rapid change program, which made it very clear, is to use. )

说明：  《遗传算法及其在电力系统中的应用》华中科技大学版("Genetic Algorithms and Their Applications in Power Systems" 2002)

一个简单的悬臂梁基于Python有限元程序，包括了计算程序，模型数据(A simple cantilever Python-based finite element program, including a computer program, data model)

细梁的振动，无量纲振动控制方程关于梁的动力响应(Beam power with applications from mechanical aerospace electrical and civil engineering free vibration nondimendional frequency coefficients on the dynamic behaviour of the beam)

Compaq Visual Fortran Error Messages，对于利用CVF编程的programmer是本很好的对照手册。(Compaq Visual Fortran Error Messages, programming, programmer for the use of CVF is a very good control of the manual.)

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.)

利用Python实现特征的MinMax标准化和Z-Score标准化两种特征归一化方法。并用原特征、两种归一化特征分别进行朴素贝叶斯模型训练，比较模型性能。(Two normalization methods of MinMax normalization and Z-Score standardization are implemented by Python. The naive Bayes model is trained with the original features and two normalization features respectively to compare the performance of the model.)