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Eigenfunctions of integrable planar billiards are studied — in particular, the number of nodal domains, ν of the eigenfunctions with Dirichlet boundary conditions are considered. The billiards for which the time-independent Schrö dinger equation (Helmholtz equation) is separable admit trivial expressions for the number of domains. Here, we discover that for all separable and nonseparable integrable billiards, ν satisfies certain difference equations. This has been possible because the eigenfunctions can be classified in families labelled by the same value ofm mod kn, given a particular k, for a set of quantum numbers, m, n. Further, we observe that the patterns in a family are similar and the algebraic representation of the geometrical nodal patterns is found. Instances of this representation are explained in detail to understand the beauty of the patterns. This paper therefore presents a mathematical connection

元胞自动机沙土模型，matlab仿真代码，非常有参考价值。能成功实现。(The cellular automata sand model matlab simulation code, very valuable reference. Can be successfully realized.)

本代码实现了三种直方图相关的算法，分别为直方图均衡化，直方图规定化，对比受限自适应直方图均衡化。三种方法放在3个不同的文件夹下，直接运行test文件，就可以得到运行结果(This code implements three histogram algorithm, respectively histogram equalization, histogram provides contrast limited adaptive histogram equalization. Three methods on three different folder, run directly test file, you can get the results)

说明：  采用matlab编程实现蚁群算法工具箱，次此程序为matlab蚁群算法工具箱的源代码(The ant colony algorithm toolbox is realized by MATLAB programming, and the source code of the MATLAB ant colony algorithm toolbox is the next.)

说明：  NCO模块的设计函数，用于产生正弦、余弦信号(It s a design functions about NCO module ，which is used for generating sine, cosine signal)

语音信号处理 时域分析 短时能量 短时平均过零率 短时自相关函数( a=wavread( beifeng.wav ) subplot(6,1,1),plot(a) N=32 for i=2:6 h=linspace(1,1,2.^(i-2)*N)； )

这个工具是同伴的图书软件的复杂性管理的模糊系统 ，斯普林格，2010。 一个新的规则为基础的系统类型，称为规则为基础的网络，已与行动建议操作规则库的互联网络，形成一个等效的单规则库。这些行动最近已实现为基于Matlab工具箱，但仅限于个人使用的节点对。此工具自动执行正确网络中的所有节点的基本操作。该工具会让你更容易实现用尽可能少的用户交互的各种规模的规则为基础的网络 (This tool is companion software for the book Complexity Management in Fuzzy Systems , Springer, 2010. A novel type of rule based system, called a rule based network, has been suggested with operations to manipulate networks of interconnected rule bases to form an equivalent single rule base. These operations have recently been implemented as a Matlab based toolbox, but are limited to individual use on pairs of nodes. This tool automatically performs the basic operations correctly on all nodes in a network. The tool will make it much simpler to implement rule based networks of all sizes with as little user interaction as possible. )

含DG的配网无功优化计算研究，包括风力发电和光伏电池微型燃气轮机和燃料电池(Distribution network with DG' s reactive power optimization studies, including micro-wind turbines and photovoltaic cells and fuel cells)

本上传资料为simulink学习教程，通过此教程可以了解一些基本操作。(The upload data to simulink tutorials through this tutorial to learn some of the basic operations.)

基于matlab的系统分析与设计之信号处理 源代码(MATLAB signal processing)