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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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SHIYAN
用切比雪夫I型原型通过冲
激响应不变法设计数字低通滤波器
并完成高通转换(Chebyshev type I with a prototype design by the same impulse response digital low-pass filter and a high pass completion of the conversion)
- 2013-12-06 22:19:38下载
- 积分:1
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IT2FLS
Designing Practical Interval Type-2 Fuzzy Logic Systems Made Simple
- 2014-12-08 06:21:17下载
- 积分:1
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fuzzy-control
搭建simulink仿真框图,使用sisotool工具箱对对象传递函数进行PID参数整定。由上面所得到的PID控制器中PD部分的控制经验可获取模糊控制器的控制规则,设计Mamdany型模糊控制器和T-S型模糊控制器。 (Build a simulink simulation diagram, use sisotool toolbox object transfer function PID parameter tuning. PD control experience PID controller portion obtained by the above control rules can get fuzzy controller design Mamdany TS fuzzy controller and fuzzy controller.)
- 2021-04-15 21:18:54下载
- 积分:1
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HCL-Test-Paper-Pattern-(HR-Interview--Techincal-A
HCL Test Paper Pattern (HR Interview, Techincal And Aptitude)
Aptitude is an online round. There were only 2 rounds for us.
1.Aptitude(2 Apps for IT and CSE)
A. General aptitude(60 que in 50 min)
B. Technical Aptitude(Data Structures,C,OS)[25 que in 20 min]
- 2013-11-25 04:56:43下载
- 积分:1
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EM
说明: EM最大期望算法:算法是在概率模型中寻找参数最大似然估计或者最大后验估计的算法,其中概率模型依赖于无法观测的隐藏变量。最大期望经常用在机器学习和计算机视觉的数据聚类领域。(EM algorithm)
- 2012-11-18 18:49:43下载
- 积分:1
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licensedistinguishmatlab
用matlab编写的车牌识别的源程序,可以准确定位到车牌(Prepared using matlab source license plate recognition, can accurately locate the license plate)
- 2009-01-15 21:07:41下载
- 积分:1
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leach
important features of leach
- 2010-07-09 22:14:13下载
- 积分:1
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matlab100example
matlab实用程序百例源码,非常适合matlab初学者(matlab utility hundred cases of source, very suitable for beginners matlab)
- 2011-01-08 13:57:46下载
- 积分:1
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IMM-three
基于三个模型的目标跟踪,中心角速度为0.偏移角速度固定。能够解决轨迹为非线性的目标的跟踪。自带轨迹。(Target tracking based on the three models, the central angular velocity is 0. Offsets the fixed angular velocity. Can solve the trajectory tracking of nonlinear target. Own trajectory.)
- 2011-05-12 16:04:51下载
- 积分:1