http://www.arsmathematica.net/2005/09/15/computing-with-real-numbers/ Dedicated to the mathematical arts. Fri, 29 May 2015 09:17:44 +0000 hourly 1 https://wordpress.org/?v=4.1.41 http://www.arsmathematica.net/2005/09/15/computing-with-real-numbers/#comment-135 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)

]]> http://www.arsmathematica.net/2005/09/15/computing-with-real-numbers/#comment-133 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.

]]> http://www.arsmathematica.net/2005/09/15/computing-with-real-numbers/#comment-129 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.

]]> http://www.arsmathematica.net/2005/09/15/computing-with-real-numbers/#comment-128 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.

]]> http://www.arsmathematica.net/2005/09/15/computing-with-real-numbers/#comment-127 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?

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