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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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hpfilter
HP filter to detrend time series data. Very useful!
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- 积分：1
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60a
DESIGN CONSTRUCTION AND WORKING OF DC MOTOR
- 2013-11-18 23:25:12下载
- 积分：1
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GridMat
opyright 2013-2014 Fereidoun Ahourai, Mohammad Al Faruque
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see <http://www.gnu.org/licenses/>.
- 2015-07-26 18:35:46下载
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dwtgl
MATLAB实现的小波彩色图像水印的嵌入与提取
运行需要读取原始图片和水印图片(Wavelet transform color image watermark embedding and extraction)
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- 积分：1
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svm
SVM工具箱，matlab源程序，可以用于模式识别，图像识别多个方面(SVM Toolbox)
- 2009-06-08 19:27:41下载
- 积分：1
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MATLAB_gongjuxiang
详细介绍matlab工具箱的使用，介绍的很详细。(Details of the use of matlab toolbox, described in great detail.)
- 2010-12-25 18:13:41下载
- 积分：1
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Matlab
说明： Matlab语言及其在电子信息工程中的应用(Matlab language and its use in electronic information engineering)
- 2009-08-20 21:54:54下载
- 积分：1
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noise_filter
基于小波变换的各种去噪方法算法研究的matlab程序(Based on wavelet transform algorithm for various denoising method of matlab
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- 2011-05-02 18:33:24下载
- 积分：1
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matpower4.2b3
matpower是用于电力市场的一款功能强大的软件，是浙江大学，甘德强教授开发的平台，非常方便！(matpower electricity market for a powerful software, Zhejiang University, Professor PROCEEDINGS development platform, very convenient!)
- 2014-08-27 11:12:11下载
- 积分：1
