MINGS1

数据分析与解方程，绘图，插值，拟合，以及一些经典的matlab算法程序(Data analysis and solution of equations, mapping, interpolation, fitting, as well as some classic algorithm matlab program)

this program is about pulse propagation in fiber

星敏感器，磁强计，惯导组合导航的EKF程序(Star sensor, magnetometer, EKF process of inertial integrated navigation)

测试可以跑，根据自己情况修改下函数即可. NSGA-III 首先定义一组参考点。然后随机生成含有 N 个（原文献说最好与参考点个数相同）个体的初始种群，其中 N 是种群大小。接下来，算法进行迭代直至终止条件满足。在第 t 代，算法在当前种群 Pt的基础上，通过随机选择，模拟两点交叉（Simulated Binary Crossover，SBX）和多项式变异 产生子代种群 Qt。Pt和 Qt的大小均为 N。因此，两个种群 Pt和 Qt合并会形成种群大小为 2N 的新的种群 Rt=Pt∪Qt。 为了从种群 Rt中选择最好的 N 个解进入下一代，首先利用基于Pareto支配的非支配排序将 Rt分为若干不同的非支配层（F1，F2等等）。然后，算法构建一个新的种群St，构建方法是从 F1开始，逐次将各非支配层的解加入到 St，直至 St的大小等于 N，或首次大于 N。假设最后可以接受的非支配层是 L层，那么在 L+ 1 层以及之后的那些解就被丢弃掉了，且 St FL中的解已经确定被选择作为 Pt+1中的解。Pt+1中余下的个体需要从 FL中选取，选择的依据是要使种群在目标空间中具有理想的多样性。(The test can run and modify the function according to its own situation. NSGA-III first defines a set of reference points. Then the initial population containing N individuals (preferably the same number of reference points as the original literature) was randomly generated, where N was the size of the population. Next, the algorithm is iterated until the termination condition is satisfied. On the basis of current population Pt, the algorithm simulates two-point crossover (SBX) and polynomial mutation to produce offspring population Qt by random selection.)

说明：  interp1 - 一元函数插值 spline - 样条插值 polyfit - 多项式插值或拟合 lsqnonlin - 最小二乘法 lsqcurvefit - 最小二乘拟合 csape - 各种边界条件的样条插值 csaps - 样条拟合 interp2 - 二元函数插值 griddata - 不规则数据的二元函数插值 *lagrange - 拉格朗日插值法 方程求根 inv - 逆矩阵 eig - 特征值和特征向量 roots - 多项式的根 fzero - 一元函数零点 fsolve - 非线性方程组 solve - 符号方程解 *newton - 牛顿迭代法解非线性方程 *spgs - 大型稀疏方程组Gauss-Seidel迭代 微积分和微分方程 diff - 数值差分 diff - 符号导函数(Interp1 - unary function interpolation)

说明：  matlab科学计算继续上传，一共10个章节，由浅入深，几乎包括了绝大部分的科学计算方法以及仿真。本人把部分算法做了优化，更为完善(matlab scientific computing continue to upload, a total 10 chapters, easy-to-digest, almost, including most of the scientific method of calculation and simulation. I have done a part of algorithm optimization, a more perfect)

SOR FOR MATLAB NOT QUITE CORRECT BUT EASY TO UNDERSTAND

Robot tool box - provides many functions that are useful in robotics including such things as kinematics, dynamics, and trajectory generation(Robot tool box- provides many functions that are useful in robotics including such things as kinematics, dynamics, and trajectory generation)

采用mathcad编程实现的永磁同步电机设计的程序，利用mathcad计算得到的数据导入Ansoft中，利用有限元可以验证解析法实现的电机设计的正确性与有效性。(Mathcad programming using a permanent magnet synchronous motor design programs, data import use mathcad calculated Ansoft, the use of finite element can verify the correctness and validity of the analytical method to achieve the motor design.)

Image Processing using matlab