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Message from discussion Application of Diophantine equations
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I.N. Galidakis  
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 More options Oct 6 2009, 9:59 pm
Newsgroups: sci.math
From: "I.N. Galidakis" <morph...@olympus.mons>
Date: Wed, 7 Oct 2009 00:59:11 +0300
Local: Tues, Oct 6 2009 9:59 pm
Subject: Re: Application of Diophantine equations

Konstantin Smirnov wrote:
> Dear number theorists,
> what you can say about modern applications of Diophantine equations,
> especially having large numbers solutions (>10^10-10^20)? In general,
> number
> theory is a standalone fundamental area, and Diophantine equations can
> be
> investigated only as a part of work in number theory. But can you
> suggest
> any significant applications that use Diophantine equations? If you
> work
> with such applications, please post what type of equations you use in
> this area.

Simple Diophantine equations have an application in video and lighting
technology. One area which I am aware of, is intereference of flickering light
sources and video capturing devices, or more generally, interference between
devices which capture scenery at a fixed rate of frames per second, and lights,
when the scenery is illuminated by lights whose frequency depends on the mains
frequency non-trivially:

http://ioannis.virtualcomposer2000.com/math/video.html

This is one of the solutions to the particular interference problem. The other
involves using ballasts which use lagging techniques to turn flickering lights
on and off in groups of n.

More is available if you Google "stroboscopic effect".

> Thanks
> Konstantin

--
Ioannis

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