ar_spectrum

模拟波动方程的有限元程序，计算波场快照，有程序说明！(Simulation of the wave equation, the finite element program, calculate the wave field snapshot, procedural instructions)

java编写九九乘法表 1*1=1 2*1=2 2*2=4 3*1=3 3*2=6 3*3=9 4*1=4 4*2=8 4*3=12 4*4=16 5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 6*1=6 6*2=12 6*3=18 6*4=24 6*5=30 6*6=36 7*1=7 7*2=14 7*3=21 7*4=28 7*5=35 7*6=42 7*7=49 8*1=8 8*2=16 8*3=24 8*4=32 8*5=40 8*6=48 8*7=56 8*8=64 9*1=9 9*2=18 9*3=27 9*4=36 9*5=45 9*6=54 9*7=63 9*8=72 9*9=81 (Multiplication table 1*1=1 2*1=2 2*2=4 3*1=3 3*2=6 3*3=9 4*1=4 4*2=8 4*3=12 4*4=16 5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 6*1=6 6*2=12 6*3=18 6*4=24 6*5=30 6*6=36 7*1=7 7*2=14 7*3=21 7*4=28 7*5=35 7*6=42 7*7=49 8*1=8 8*2=16 8*3=24 8*4=32 8*5=40 8*6=48 8*7=56 8*8=64 9*1=9 9*2=18 9*3=27 9*4=36 9*5=45 9*6=54 9*7=63 9*8=72 9*9=81 )

说明：  利用GA遗传算法解决欺骗函数最优问题，具体问题描述如下，如有问题请与我联系(The deceptive functions are a family of functions in which there exists low-order building blocks that do not combine to form the higher-order building blocks. Here, a deceptive problem that consists of 25 copies of the order-4 fully deceptive function DF2 is constructed for this paper. DF2 can be described as follows: f(0000)=28 f(0001)=26 f(0010)=24 f(0011)=18 f(0100)=22 f(0101)=6 f(0110)=14 f(0111)=0 f(1000)=20 f(1001)=12 f(1010)=10 f(1011)=2 f(1100)=8 f(1101)=4 f(1110)=6 f(1111)=30 This problem has a maximal function value of 750.)

使用lasso方法，对特征矩阵进行优化特征选择（向量选择），使其达到最优。(Use lasso method, optimize the characteristic matrix feature selection (vector selection), to the optimal.)

说明：  基于结构网格二维Euler方程的Jameson求解方法 自己写的程序，网格是现成的结构网格(Jameson solution method based on two-dimensional Euler equation of structural grid. Write their own procedures, the grid is ready - made structural grid.)

说明：  用于计算非线性有限元分析的程序，该程序可以处理多种工况、多种类型单元组合结构问题。同时，还可以处理固定约束和指定位移的情况。(A program for nonlinear finite element analysis)

处理大规模矩阵，对大规模的矩阵进行分解，即形如分解A=UV(To deal with large-scale matrix, mass matrix decomposition, that is shaped like a decomposition A = UV)

全局最优化方法的程序，是段老师团队原版程序，大家放心使用。(Global optimization method of procedure is the original section of the teacher team program, we ease of use.)

说明：  设计一个函数，其功能是同时求得长度为20的整型数组所有元素中的最大值、最小值和平均值。并用相应的主函数对其进行测试，测试数组可以用随机数填充或者自行定义数据。(The design of a function, its function is to obtain the length of the maximum, minimum and average 20 integer array element. And its main function testing, the test array can be populated with a random number or define your own data.)

用matlab对偶极子电场线描绘，能够和等势线一起画出。改变电荷量就能得到不同的电场线分布。(Electric field line of a diple)