BeamFreqMode

分别以单精度和双精度数据类型用以下近似算法分别计算π的近似值，要求结果具有4位有效数字(calculate pi with single-precision and double-precision respectively)

说明：  一阶，二阶，三阶，四阶，显式与隐式龙格库塔方程求解常微分方程的matlab代码(Matlab code for solving ordinary differential equations of first, second, third, fourth, explicit and implicit Runge Kutta equations)

这是python一个数学计算库，非常有用，而且python在处理科学计算时经常会用到它(This is a mathematical calculation python library is very useful, but when dealing with scientific computing python often use it)

随机过程基础课程，包含泊松过程、马尔可夫链、鞅等经典方法，清晰详细，有案例讲解(Stochastic Processes basic courses, including Poisson process, Markov chain, martingale and other classical methods, clear and detailed, there is case to explain)

安装32bit-win的spss中PSL所需的所有安装文件，包括PythonPlugInWin32、Python2.5.4、scipy-0.6.0、numpy-1-1.0、PLS.py以及plscommand.xml并附安装说明。 第一步:安装spss17.0 第二步：安装 SPSSStatisticsPythonPlugInWin32_1700.exe 第三步：安装Python2.5.4 第四步：安装scipy-0.6.0和numpy-1-1.0 第五步：复制PLS.py文件到Python安装目录----Python25Libsite-packages 复制plscommand.xml文件到spss安装目录----SPSSIncStatistics17extensions，没有extensions文件夹就新建一个。 第六步：打开软件，导入数据，分析-回归-部分最小平方回归。Ok(Install all the installation files required by PSL in the SPSS of 32bit-win, including PythonPlugInWin32, Python2.5.4, scipy-0.6.0, numpy-1-1.0, PLS.py and plscommand.xml, and attach the installation instructions.)

处理任意两点间多条公交、地铁线路的到达问题此，改程序将一二问综合在一起，方便精简，运行速度快(Treatment between any two many bus, subway lines to reach this issue, change the program integrated with the twelve asked to facilitate streamlined, fast)

利用ANSYS有限元仿真软件对复合材料进行异常检测仿真实验，程序为一损伤样板模型(ANSYS finite element simulation software for composites simulation anomaly detection, the program is a damage model model)

采用拉格朗日算法求解机组组合问题，采用的是5机系统(Lagrange algorithm for unit commitment problem, 5 machine system)

奇异值快速分解程序，相比其他奇异值分解程序，速度快，解的精度高。(Fast singular value decomposition process, compared to other singular value decomposition process, fast, high precision solution.)

实现多项式样条利率期限结构参数求解，方面做国债研究人员借鉴(Polynomial spline interest rate term structure parameters for solving aspects of the bond researchers draw)