http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/ Dedicated to the mathematical arts. Mon, 08 Sep 2008 04:02:09 +0000 http://wordpress.org/?v=2.5.1 http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-135 hariparameswaran Tue, 20 Sep 2005 18:54:10 +0000 http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-135 While I've just started reading this, I think it probably merits some attention, especially because of the pedigree of the author (Stephen Cook - NP completeness) While I’ve just started reading this, I think it probably merits some attention, especially because of the pedigree of the author (Stephen Cook - NP completeness)

]]> http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-133 Walt Mon, 19 Sep 2005 13:57:56 +0000 http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-133 I think from a theoretical point of view their approach is equivalent to the lazy evaluation approach. Their contrasting with a different model of computation where you can do real arithmetic with infinite precision. I think from a theoretical point of view their approach is equivalent to the lazy evaluation approach. Their contrasting with a different model of computation where you can do real arithmetic with infinite precision.

]]> http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-129 sigfpe Sat, 17 Sep 2005 17:02:43 +0000 http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-129 A more interesting approach, IMHO, is to use lazy evaluation to compute as many digits as required. A more interesting approach, IMHO, is to use lazy evaluation to compute as many digits as required.

]]> http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-128 Walt Sat, 17 Sep 2005 03:32:07 +0000 http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-128 I looked at the paper more closely today, and it's not very impressive. It seems like an introduction to their preferred approach, and not anything particularly new. I looked at the paper more closely today, and it’s not very impressive. It seems like an introduction to their preferred approach, and not anything particularly new.

]]> http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-127 sigfpe Fri, 16 Sep 2005 21:26:34 +0000 http://www.arsmathematica.net/archives/2005/09/15/computing-with-real-numbers/#comment-127 I couldn't figure out what was new about their model of computation. Do you have an explanation? I couldn’t figure out what was new about their model of computation. Do you have an explanation?

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