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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
- 2014-10-06 20:57:54下载
- 积分：1
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Quantizationmatlab
矢量量化 含说明文档和源码和图像 值得下载(Vector quantization with documentation and source code and image is worth downloading)
- 2007-12-30 21:51:03下载
- 积分：1
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music_SNR_gujiwucha
music算法的性能分析 包括成功概率 估计方差 估计误差 的源代码(music algorithm performance analysis, including probability of success is estimated that the source code of the estimation error variance)
- 2011-09-13 09:54:41下载
- 积分：1
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mras
This is the file for model reference adaptive system.
- 2013-02-23 20:20:08下载
- 积分：1
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test
This program in matlab encrypts the image in frequency domain
- 2013-02-23 20:57:23下载
- 积分：1
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234443222
带有相位噪声的MPSK和MDPSK性能统一分析(Containing phase noise MPSK and MDPSK-performance unified analysis)
- 2013-04-25 16:00:45下载
- 积分：1
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optical_image_encryption_chaotic_baker
image encryption using chaotic baker map and double random phase algorithm
- 2016-03-05 15:41:56下载
- 积分：1
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ArrayCalc2_4_2
fourier,binomial,filters programmes
- 2015-03-12 12:46:10下载
- 积分：1
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chazhi
详细介绍了matlab插值与拟合方法，包括拉格朗日多项式插值、牛顿插值、分段线性插
值、Hermite 插值和三次样条插值和曲线的最小二乘拟合、多项式拟合方法、最小二乘优化所有程序均有相应的说明与应用实例(Details of the matlab interpolation and fitting methods, including Lagrange polynomial interpolation, Newton interpolation, piecewise linear interpolation
Value, Hermite interpolation and cubic spline interpolation and least-squares curve fitting, polynomial fitting method, least squares optimization program has all the appropriate instructions and application examples)
- 2013-12-08 20:21:36下载
- 积分：1
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Matlab-svm
基于Matlab的最小二乘支持向量机的工具箱及其应用_李方方(The least squares support vector machine (SVM) based on Matlab toolbox and its application _ Li Fangfang)
- 2013-12-09 20:38:04下载
- 积分：1
