Fractional Fourier Transform

非线性方程数值解法的数学基础，有牛顿法，割线法等(Mathematical foundations of numerical solution of nonlinear equations, Newton method, secant method)

针对传统的算法如遗传算法、粒子群算法等在TSP问题上求解精确性和求解规模上都还有一定的不足，本文提出了一种基于动态规划思想的粒子群优化算法。该算法用动态规划的方法实现粒子间的信息交互和粒子的进化，并且将粒子群中的粒子按无标度信息指导网络拓扑图的方式进行连接。仿真结果表明该方法能有效地减小误差率，提高解的精确，同时还保持了较低的计算复杂度，具有良好的稳健性。(TSP problem solving for the traditional algorithms such as genetic algorithms, particle swarm optimization accuracy and solving the scale, there is a certain lack of a dynamic programming algorithm-based particle swarm optimization algorithm. The algorithm using dynamic programming method to achieve the evolution of information exchange between the particles and the particles, and particle swarm particle scale-free information guide network topology map to connect. The simulation results show that this method can effectively reduce the error rate and improve the solution precision, while maintaining a low computational complexity, good soundness.)

上三角或下三角矩阵也有大部份的元素不储存值（为0），我们可以将它们使用一维阵列来储存以节省储存空间，而对称矩阵因为对称于对角线，所以可以视为上三角或下三角矩阵来储存。(Upper or lower triangular matrix or a large majority of elements are not stored value (0), we can use them to store a one-dimensional array in order to save storage space, and because the symmetrical diagonal symmetric matrix, it can be regarded as the or lower triangular matrix storage.)

复合材料强度计算的程序，采用与ansys软件集成后计算(Composite material strength calculation procedures, the use of ANSYS software and the integration of computing)

有限元源程序,结构分析软件，可以用于结构工程、近海工程等领域。(Adina FEM Program, can be used in structural engineering, offshore engineering, and so on)

matlab语言写的计算八木天线的程序，可以改变单元的数量，给出各个阵子的电流分布和方向图 (matlab language computing Yagi antenna program, you can change the number of units each time around given the current distribution and orientation map)

数据归一化处理，对数据进行一个标准化处理，将各个不同单位的变量，转换成无量纲的量(Data normalization, a standardization of data processing, will be different units of variables, into dimensionless quantities)

abaqus中的三微裂纹扩展，一起学习下(the abaqus of three micro-crack propagation, with learning under)

说明：  进行PQ分解，计算电力系统潮流的有效方法，应用广泛(PQ decomposition is an effective method for calculating power flow in power system.)

对轨道不平顺采用耿贝尔分布进行拟合优度检验(On track irregularity using Gumbel distribution goodness of fit test)