POV-Ray : Newsgroups : povray.off-topic : A puzzle : Re: A puzzle Server Time
9 Oct 2024 22:26:56 EDT (-0400)
  Re: A puzzle  
From: Invisible
Date: 24 Oct 2008 05:54:51
Message: <49019b6b$1@news.povray.org>
andrel wrote:

> interest is an exponential function. Taking a logarithm makes it linear.
> after one year you have 10% interest, so in total 1.1 times your 
> starting point. After a half year you will have
> 
> exp( (log(1.1)-log(1)) / 2) or 1.0488 times as much.
> 
> I admit that simply taking the square root of 1.1 would have been 
> simpler, but this formula also works for 4 months. (Ok, that is 
> effectively a cubic root. Let's say that it also works for 100 days ;) ).

Thanks. This is what I was trying to work out.

(I'm not actually interested in compound interest, but rather 
exponential damping. I want to figure out how much damping to apply at a 
different framerate to still achieve the same degree of damping per 
second...)


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