FFT

加步探索法，二分法,黄金分割法,抛物线插值法求解方程的演示(Plus step-by-step exploration of law, black-and-white, golden section method, the parabolic interpolation method for solving equations of presentation)

铁木辛柯梁梁单元有限元程序，可以自动形成刚度阵，质量矩阵(Ironwood oct Ke Liangliang unit finite element program can automatically form stiffness matrix, mass matrix)

说明：  VC实现，天文导航算法及实现 包括数据的获取、加工、处理、保存为文件(VC, astronomy, navigation algorithm and implementation including data acquisition, processing, handling, preservation of documents)

说明：  使用时间序列分析AR方法对油价进行分析，以及预测。采用BIC准则进行判阶，最小二乘法进行参数估计(AR time series analysis using the method of price analysis and forecasting. BIC criteria used sentence order, the least square method for parameter estimation)

格子玻尔兹曼 圆柱绕流 Python编写(lattice boltzmann flow around a cylinder, using Python. very fast because of numpy library)

说明：  本程序基于matlab进行了声波在固体中的仿真模拟。(This procedure carried out based on sound waves in matlab in the simulation of solid.)

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.)

将字符串合并的时候要注意中间的空格，否则可能在合并时出错。我调试了好久才发现(combine the string,essential to focus the length of string)

ABAQUS中用户材料子程序UMAT的开发主要解决两方面的问题：本构模型的建立和积分算法的选择。 本文主要研究非线性材料的UMAT实现方法，并重点研究其迭代算法部分，目前，用户材料子程序UMAT的迭代算法主要是常刚度法，常刚度法的优点在于算法原理较简单，程序编写较方便，缺点是当遇到复杂非线性材料时，其迭代次数较多，收敛速度也较慢，在这个情况下，本文采取的是一种迭代次数较少且收敛速度较快的切线刚度法，具体就是采用FORTRAN语言编制了基于Von-Mises模型的接口程序,并采用切线刚度算法，通过与ABAQUS自带本构关系计算的结果相比较，验证其正确性。(This paper studies the user subroutine UMAT of ABAQUS development methods, the use of FORTRAN language isotropic hardening material model of the interface program, studied the effects of such material is extremely elastic-plastic constitutive relation method. This article UMAT tightly around the secondary development of technology, the first principle of its interface detail, and then for the theory of nonlinear finite element incremental stiffness of the regular tangent stiffness method and the theory of algorithms to do an in-depth analysis of deduced a regular tangent stiffness and rigidity of the law of the specific expression of algorithm theory, and then the preparation of the two algorithms, respectively, of the UMAT program, and finally the establishment of a specific model checking, bringing with ABAQUS elasto-plastic constitutive relation of the calculated results compared to verify the correctness of the two.)

说明：  使用EPTREE可以很好的对，C,C++，Java代码进行解析。绘出函数树图，计算堆栈大小等。 <输出的文件内容> 功能树 INKURUDOFAIRUTSURI 测量若干步骤（有条件汇编） 函数索引（使用堆栈大小为每个功能输出） 使用类名单 全局变量，变结构，对象名单 ＃定义定义列表 清单中所使用 列表名称 信息分布函数的行数(EPTREE can be used for good, C, C++, Java code analysis. Mapping function tree diagram, calculate the stack size. )