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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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pacp
wireshark 抓取pacp包进行分析
判断延迟 丢失等(wireshark packet analysis grab pacp judge delayed loss, etc.)
- 2014-01-15 17:51:12下载
- 积分:1
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Dip-project
this is a digital image processing project about edge detection canny second algorithm in .m files
- 2011-05-27 18:15:51下载
- 积分:1
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ookmodulation
模拟启闭载波信号的最佳接收机的情形,包含信号的产生,模拟调制,接收检测,并分析显示出实际和理论的误码率vs SNR,希望对大家有用!(carrier signal simulation includes the best receiver situation, including the selection of signal, analogue modem, receive detection, and analysis show that the practical and theoretical error rate vs. SNR, we want to help!)
- 2006-12-30 10:28:49下载
- 积分:1
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cred
cognitive radio performance matlab code for spectrum sensingg
- 2013-03-26 13:18:33下载
- 积分:1
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Wound-detection-from-image-captured-with-live-cam
Wound detection image captured with live camera
With this code we can automatically identify the wound in human body and its area.
- 2014-12-16 01:55:14下载
- 积分:1
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Single-neuron-adaptive-pid
自适应神经元PID算法,此算法经过仿真验证过,好用。(Adaptive neuron PID algorithm, this algorithm through simulation, works.)
- 2015-01-18 11:52:24下载
- 积分:1
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MAtLabPLOTTING
MAtLab PLOTTING: A SIMPLE EXAMPL TO SHOW THE EASINNESS OF PLOTTING USING MATLAB AND OCTAVE
- 2010-10-15 23:40:13下载
- 积分:1
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k-rbf
说明: 程序是基于K均值聚类的RBF代码,很好的一个例子。(K means clustering procedure is based on the RBF code, a good example.)
- 2011-02-23 19:26:08下载
- 积分:1
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cartrackkalman
car tracking with kalman filterring
- 2013-01-21 19:34:30下载
- 积分:1