interval methods in Notices of AMS

David G. Hough at validgh dgh
Fri Oct 18 13:39:09 PDT 1996


Date: Fri, 18 Oct 96 13:05:54 MDT
From: vladikacs.utep.edu (Vladik Kreinovich)
To: reliable_computingainterval.usl.edu
Subject: double bubble again: AMS interval exposure

The latest issue of the Notices of the American Mathematical Society
contains a nice and brief exposition of the double bubble result, with
an explicit mention of interval computations, and even with the
explanation of what interval arithmetic is about (pp. 1363-1364;
intervals are mentioned on p. 1364).

P.S. Interval computations are also explicitly mentioned in the new AMS
edited book Problems of Reducing the Exhaustive Search advertised on p.
1386. This is a translation from Russian, with a main emphasis on logic
and Computer Science problems; intervals are mentioned in the last
chapter that surveys applications and ideas developed after the Russian
edition: namely, it mentions that heuristic methods natural for
interval problems can lead to non-trivial heuristics for logic and CS
problems, heuristics that are related to chemical computing, neural
networks, etc.



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