[self-interest] Unlimited integer arithmetics?
Randy Smith
randall.smith at sun.com
Thu Aug 22 21:38:17 UTC 2002
>
> Do you thing that unlimited integer arithmetics is (from practical point of
> view) usable? Is not 64-bit integers good enough for every purpouses?
>
Coincidentally, I just did a calculation a few weeks ago whose answer was 10 ^ 3200.
Further coincidence: a friend yesterday bragged to me about how great Mathematica
is. Here is his note, sorry the context will be sensless to you but observe the
numbers:
__________ included e-mail from my friend ______________
Date: Wed, 21 Aug 2002 16:36:40 -0700
From: Raphael Rom <actual e-mail address deleted>
Subject: mathematica is wonderful
To: Randy Smith <Randall.Smith at Sun.COM>
I hjust spent 45 minutes with mathematica. I managed to compute the
actual and approximated sums for N=1000 to N=20000
(20 digits accuray -- these numbers go to 10^-8000!). The ratio
real/approximation is 1+10^-7 , meaning we have a very simple and good
approximation.
Raphi
___________________________________________________
...so sometimes numbers just get really really big. Annoying little devils.
--Randy
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