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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
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SVM-neural
SVM神经网络的回归预测分析---上证开盘指数预测,matlab的经典算法(SVM neural network regression analysis--- Shanghai opening index prediction, matlab classical algorithm)
- 2013-10-20 00:05:32下载
- 积分:1
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Detection-of-radial-plot
关于宽带雷达回波目标基于径向积的检测方法matlab实现程序(About Broadband Radar target detection method based on radial plot matlab implementation program)
- 2020-10-20 20:07:24下载
- 积分:1
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3Dray_tracing
基于matlab做的三维射线追踪的源代码。供大家交流之用。(based on Matlab do 3D ray tracing the source code. For exchange purposes.)
- 2006-12-18 18:07:17下载
- 积分:1
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Kalman_cv
基于CV模型的matlab程序,简单,易于入门(matlab code for kalman filter(based on CV module))
- 2014-12-24 14:45:56下载
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Magnetocardiography
This is the paper hematology pdf paper to implement in matlab
- 2013-12-25 22:32:23下载
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dipole2
It s about 3d 3D DIPOLE ANTENNA DESIGN.
- 2013-11-08 00:03:15下载
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IEEE33
IEEE30节点遗传算法,简单实用,适合初学者学习,可用于配电网重构(Genetic algorithms, simple and practical, suitable for beginners to learn, can be used for distribution network reconfiguration)
- 2015-06-03 10:19:47下载
- 积分:1
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模糊pid算法
模糊控制pid算法,程序化,可以方针,(fuzzy control algorithms, procedures, guidelines,)
- 2005-03-27 20:35:05下载
- 积分:1
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SVM-matlab实现
说明: 分类使用(一个非常简单的实现)支持向量机算法(Classify using (a very simple implementation of) the support vector machine algorithm)
- 2021-04-07 17:00:09下载
- 积分:1