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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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read_grd
采用matlab编程语言，主要功能用于读取grd文件。(read grd document)
- 2011-06-06 11:52:21下载
- 积分：1
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TCR_BS_to_Relay_SNR15_geser
perbaikan terhadap STC untuk pergeseran15 dB
- 2009-02-12 10:54:31下载
- 积分：1
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Lyapunov-solve-K
说明： Lyapunov求解K熵的matlab仿真程序(Solving Lyapunov entropy matlab simulation program K)
- 2011-04-06 15:27:54下载
- 积分：1
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matlab_AHP
说明： 如题，层次分析法的matlab程序
方便实用，尤其是针对不太熟悉matlab程序设计的人(err)
- 2006-04-11 10:39:23下载
- 积分：1
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SVM-classifier
用matlab实现非线性支持向量机分类器对多类进行分类。(Using matlab to achieve non-linear support vector machine classifier for multi-class classification.)
- 2011-05-02 19:16:35下载
- 积分：1
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DIPUM_M_FILE
图像处理权威著作:数字图像处理(MATLAB版)
Digital Image Processing Using MATLAB
M代码 (Image processing authoritative book: Digital Image Processing (MATLAB version) Digital Image Processing Using MATLABM code)
- 2008-06-13 11:05:21下载
- 积分：1
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PDControlQuadrotor_2
design and control of quadrotors
with application to autonomous flying
- 2014-12-14 01:33:58下载
- 积分：1
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MIMO-ofdm
MIMO OFDM 系统的性能仿真 很好用(The performance of MIMO OFDM system simulation is in good condition)
- 2015-01-21 20:11:38下载
- 积分：1
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stock
根据股票每日交易数据，求股票期望收益率和波动率的函数(According to the daily trading data of stocks, the function of stock expected yield and volatility is obtained.)
- 2018-05-11 01:47:22下载
- 积分：1
