POV-Ray : Newsgroups : povray.off-topic : Differential equations FTW! : Re: Differential equations FTW! Server Time
14 Nov 2024 22:23:08 EST (-0500)
  Re: Differential equations FTW!  
From: Invisible
Date: 8 Jan 2008 10:20:14
Message: <478394ae$1@news.povray.org>
scott wrote:

> The wave tank one is easy, for every "pixel" it simply solves the wave 
> equation.
> 
> http://en.wikipedia.org/wiki/Wave_equation
> 
> It may look scary if you don't recognise the symbols

The 2nd partial derrivative of u with respect to t (time?) is equal to 
the square of the wave velocity multiplied by the Laplacian of u.

What the heck is a Laplacian when it's at home?

Oh, wait - it's a second-order differential operator in the N-dimenional 
Euclidian space defined as the divergence of the gradient. Obviously.

._.

Ouch.

Wikipedia - a great reference source, a rubbish way to learn brand new 
concepts. (Indeed, I've seen articles marked for revision *because* 
"Wikipedia is not a how-to". Hmm, what *is* Wikipedia then?)

-- 
http://blog.orphi.me.uk/
http://www.zazzle.com/MathematicalOrchid*


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