beijou_v28

经典的可编程添加模块的面向对象的有限元程序代码(C++ code for OOFEM based on multi-systems)

二元二次多项式曲面拟合法的Matlab实现，含有M文件及数据文件示例(Binary quadratic polynomial surface fitting Matlab, contain the M-file and the data file example)

三个MATLAB里实现傅里叶变换FFT的源程序代码，每种代码都进行了作图演示(Three in MATLAB source code to achieve Fourier Transform (FFT), each code have been mapped demo)

曲线拟合的最小二乘法要解决的问题，实际上就是求以下超定方程组的最小二乘解的问题。(Least squares curve fitting to solve the problem, in fact, find the following overdetermined least squares solution for the problem group.)

实现多项式相乘求模运算，并且模多项式是可以改变的，方便，简单(To achieve polynomial multiplication modulo operation, and polynomial model can be changed, convenient and simple)

说明：  用卡尔曼滤波方法对圆周运动进行预测的算法实现(Kalman filtering method using circular motion algorithm to predict)

根据X和Y两组数据，将两组数据在X-Y平面上最小二乘法拟合出圆(According to X and Y two sets of data, the two sets of data in the X-Y plane, the least square method of fitting the circle)

程序算任意点FFT和小波变换,以及可选择多种小波及小波变换后的单频带重够,另算信号的Lipschitz指数,高级数字信号处理!(counting procedures arbitrary point FFT and Wavelet Transform, and the choice of multiple wavelet and the wavelet transform of a single-band heavy enough, and another count signal Lipschitz index advanced digital signal processing!)

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)

说明：  ADAM （Adaptive Moment Estimation）是另外一种自适应学习率算法，它结合动量梯度 下降法，在不同参数方向上采用不同学习率，保留前几次迭代的梯度，能够很好 的适应于稀疏数据。(ADAM (Adaptive Moment Estimation) is another adaptive learning rate algorithm, which combines momentum gradient. The descent method, which uses different learning rates in different parameter directions and retains the gradients of previous iterations, is very good. It is suitable for sparse data.)