Path: csiph.com!x330-a1.tempe.blueboxinc.net!usenet.pasdenom.info!aioe.org!.POSTED!not-for-mail
From: "John B. Matthews" <nospam@nospam.invalid>
Newsgroups: comp.lang.java.programmer
Subject: Re: Arithmetic overflow checking
Date: Tue, 26 Jul 2011 03:04:36 -0400
Organization: The Wasteland
Lines: 25
Message-ID: <nospam-4D1654.03043626072011@news.aioe.org>
References: <015aeb15-57db-48ab-9cd4-77f8448b632f@w24g2000yqw.googlegroups.com> <4e262731$0$314$14726298@news.sunsite.dk> <j059o8$684$1@dont-email.me> <4e26300b$0$309$14726298@news.sunsite.dk> <cdyVp.5929$Vn5.2217@newsfe18.iad> <4e26b4ed$0$2501$db0fefd9@news.zen.co.uk> <f126e0ad-e1e5-47c8-949e-e38b3598d5ff@m5g2000prh.googlegroups.com> <4e28097f$0$2533$da0feed9@news.zen.co.uk> <f9939820-502d-4973-b008-0b62536ab967@m3g2000pre.googlegroups.com> <slrnj2ghv0.6gl.avl@gamma.logic.tuwien.ac.at> <7a23c9d2-508f-4dbd-af91-8cdf2a9764e1@p29g2000pre.googlegroups.com> <j09t06$4bo$1@dont-email.me> <slrnj2jc3u.6gl.avl@gamma.logic.tuwien.ac.at> <IMBWp.68441$5v5.52239@newsfe11.iad> <slrnj2mdoi.6gl.avl@gamma.logic.tuwien.ac.at> <j0g1i4$nus$1@speranza.aioe.org> <ueidnUcxuMPT2LHTnZ2dnUVZ_uKdnZ2d@earthlink.com> <j0j5ie$v55$1@speranza.aioe.org> <slrnj2qjgv.6gl.avl@gamma.logic.tuwien.ac.at> <j0k14r$7rr$1@speranza.aioe.org> <SNhXp.70431$5v5.35598@newsfe11.iad>
NNTP-Posting-Host: LQJtZWzu+iKlBROuDg+IUg.user.speranza.aioe.org
Mime-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 7bit
X-Complaints-To: abuse@aioe.org
User-Agent: MT-NewsWatcher/3.5.3b3 (Intel Mac OS X)
X-Notice: Filtered by postfilter v. 0.8.2
Xref: x330-a1.tempe.blueboxinc.net comp.lang.java.programmer:6566

In article <SNhXp.70431$5v5.35598@newsfe11.iad>,
 David Lamb <dalamb@cs.queensu.ca> wrote:

> On 25/07/2011 11:12 AM, Henderson wrote:
> > Until some enterprising mathematician thinks up something that can 
> > be added and multiplied, but has no sensible correspondence to any 
> > subset of any kind of vectors of real numbers ...
> 
> They're called "Rings":
> http://en.wikipedia.org/wiki/Ring_%28mathematics%29

The interface org.jscience.mathematics.structure.Ring represents just 
such an algebraic structure:

<http://jscience.org/api/org/jscience/mathematics/structure/Ring.html>

Both Complex and Polynomial implement Ring<R>, and there's a an example 
using Polynomial<Complex> here:

<http://sites.google.com/site/drjohnbmatthews/polyroots>

-- 
John B. Matthews
trashgod at gmail dot com
<http://sites.google.com/site/drjohnbmatthews>