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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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c13_tiv2
现在通信系统仿真中的多径信号仿真模型程序(Now communication system simulation program multipath signal model)
- 2010-09-19 10:40:24下载
- 积分:1
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segmentation_code
有效实行数据分类和图像分割的源码, 非常适合学习实用(image and data segmentation)
- 2013-10-01 23:20:12下载
- 积分:1
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signal_tb
MATLAB Signal Processing Toolbox 文档 (MATLAB Signal Processing Toolbox )
- 2013-10-02 09:49:09下载
- 积分:1
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00929583
for master degree seminar good file from ieee site
- 2013-10-04 18:24:00下载
- 积分:1
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20067711495121046
matlab例程,非常好用,便以移植,bianyuxuexi(matlab routines, very easy to use, then to transplant,
bianyuxuexi)
- 2009-04-26 17:04:55下载
- 积分:1
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turbo2
Codigos turbo, funcionando 100
- 2013-07-11 03:01:48下载
- 积分:1
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huofu
matlab中运用hough变换,设定恰当的阈值,将超过阈值的点在三维空间标示出来&将三维参数矩阵根据半径的不同做成不同的帧,制作成视频(hough transform matlab in use, set the appropriate threshold, will exceed the threshold point in three-dimensional space marked out & three-dimensional parameter matrix made of different frames depending on the radius, made into video)
- 2013-12-23 20:39:16下载
- 积分:1
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entropy
哈弗曼编码(huffman code)的通信系统中的仿真(huffman code loseless)
- 2009-10-29 11:06:24下载
- 积分:1
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deploy_001
无线网络节点的部署,还是又障碍物版的,可以方便您编程,节省时间(Deployment of wireless network nodes, or another version of the obstacles can be programmed for your convenience and save time)
- 2011-08-19 22:30:39下载
- 积分:1