the-normal-line-of-the-gear

自己编写的变步长龙格库塔方法解强非线性微分方程(their preparation variable step Changlong lattice-Kutta method to solve nonlinear differential equations)

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.)

最小二乘估值的SVD分解计算方法，本程序可将最小二乘估值问题转化为超定方程组的问题处理，且可用奇异值分解的方法计算最小二乘问题。(Least Squares Estimates of the SVD decomposition method, the valuation process can be transformed into squares overdetermined equations deal with the problem, and can be calculated singular value decomposition least squares problem.)

可用于层次分析法比较评价，主函数输入初始矩阵，调用层次分析函数(It can be used for comparative evaluation of analytic hierarchy process. The main function input the initial matrix and call the analytic hierarchy process function.)

使用奇异值分解来帮助求解最小二乘问题，特别是在方程系数矩阵不满秩的情况下。(SGELSD computes the minimum-norm solution to a real linear least * squares problem: * minimize 2-norm(| b- A*x |) * using the singular value decomposition (SVD) of A. A is an M-by-N * matrix which may be rank-deficient.)

Colonial Competitive Algorithm

说明：  工程中微分方程数值积分经常需要使用的Newmark法(Differential equations numerical integration project often requires the use of the Newmark method)

三次样条插值（简称Spline插值）是通过一系列形值点的一条光滑曲线，数学上通过求解三弯矩方程组得出曲线函数组的过程。本函数中采用第一类边界值(Cubic spline interpolation (referred Spline interpolation) through a series of key points of a smooth curve, mathematically by solving the three-moment equations derived curve function group process. This function uses the first boundary value)

使用车轨空间耦合系统计算出的60km/h的轮轨力时程数据(Wheel-rail force of speed 60km/h )

FFT快速傅里叶变换，用于数字信号处理，大大提高了运行速度，节省内存开销。C语言实现(FFT fast Fourier transform for digital signal processing, greatly improving the speed and save memory overhead. C language)