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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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