Chapter7

矩阵转换问题 行与列的个数均为n 的矩阵称为n 阶方阵。假定矩阵中的每个元素的值在0到9之间，则可以将矩阵中的所有元素按行依次排列得到一个“单行矩阵字符串”。(Matrix conversion, the number of rows and columns of the matrix n are called n-order square. Assume that each element of matrix value in the 0 to 9, you can press all the elements of the matrix rows in order of priority for a " single matrix string." )

并联机构 正反解 六自由度并联机构空间运动结算 实例分析(DOF parallel mechanism inverse solution space motion parallel mechanism settled case analysis)

MFC实现快速傅里叶变换（FFT）MFC实现快速傅里叶变换（FFT）(MFC MFC Fast Fourier Transform (FFT) fast Fourier transform (FFT))

计算磁铁在线圈经过时，感生电压和磁铁位置的关系，即电磁感应系数(when a magnet passes by a coil, to calculate the induced voltage)

利用FFT估计正弦信号的频率,要估计一个叠加了高斯白噪声的正弦信号 的频率 ，可以通过对x(n)做傅里叶变换，得到频谱图，找出幅度的最大值对应的频率值 ，进行多次变换，求出均方误差 。改变信噪比SNR，通过仿真可以得出随着信噪比增加，均方误差减小。(Sinusoidal signal using FFT frequency estimation, to estimate a Gaussian white noise superimposed on the frequency of sinusoidal signals, can be achieved by x (n) be the Fourier transform to get spectrum to identify the magnitude of the frequency value corresponding to the maximum , several transformations, find the mean square error. Change the signal to noise ratio SNR, the simulation can be drawn as the SNR increases, the mean square error decreases.)

用LBM结合非平衡外推方法实现的圆柱绕流，柱面边界以非平衡外推方法实现。(LBM combined with the extrapolation method of achieving non-equilibrium flow around a cylinder, cylinder boundary to achieve non-equilibrium extrapolation method.)

说明：  PRP共轭梯度法优化计算，采用FORTRAN语言(PRP conjugate gradient method optimization, the use of FORTRAN language)

这些代码主要是解决数学建模中存在的一些普遍问题的。(These codes mainly deal with some common problems in mathematical modeling)

abaqus三维8节点实体单元Fortran子程序，里面有详细的注释，有单元开发兴趣的同学可以下载学习(The fortran subroutine of the 8 node solid element of ABAQUS, with detailed comments in the unit development interest students can download learning)

混沌理论预测方法，可以进行多步骤预测，方便使用，很用的工具。(chaos a very good sofeward if you have you will find very goog)