From owner-freebsd-questions@FreeBSD.ORG Wed Nov 10 05:01:09 2010 Return-Path: Delivered-To: freebsd-questions@freebsd.org Received: from mx1.freebsd.org (mx1.freebsd.org [IPv6:2001:4f8:fff6::34]) by hub.freebsd.org (Postfix) with ESMTP id D085C1065674 for ; Wed, 10 Nov 2010 05:01:09 +0000 (UTC) (envelope-from gnrp@physik.tu-berlin.de) Received: from mail.tu-berlin.de (mail.tu-berlin.de [130.149.7.33]) by mx1.freebsd.org (Postfix) with ESMTP id 7B3958FC14 for ; Wed, 10 Nov 2010 05:01:09 +0000 (UTC) X-tubIT-Incoming-IP: 130.149.58.163 Received: from mail.physik-pool.tu-berlin.de ([130.149.58.163] helo=mail.physik.tu-berlin.de) by mail.tu-berlin.de (exim-4.69/mailfrontend-c) with esmtp for id 1PG2o0-0006Yf-4x; Wed, 10 Nov 2010 06:01:08 +0100 Received: from localhost (localhost.physik-pool.tu-berlin.de [127.0.0.1]) by mail.physik.tu-berlin.de (Postfix) with ESMTP id BA10A11401 for ; Wed, 10 Nov 2010 06:01:06 +0100 (CET) X-Virus-Scanned: amavisd-new at physik.tu-berlin.de Received: from mail.physik.tu-berlin.de ([127.0.0.1]) by localhost (mail.physik-pool.TU-Berlin.DE [127.0.0.1]) (amavisd-new, port 10024) with ESMTP id m5xXv9hllt6q for ; Wed, 10 Nov 2010 06:01:04 +0100 (CET) Received: from eselhitler (q827es.in-vpn.de [217.197.85.227]) (using TLSv1 with cipher DHE-RSA-AES128-SHA (128/128 bits)) (No client certificate requested) by mail.physik.tu-berlin.de (Postfix) with ESMTPSA id 4B06D11406 for ; Wed, 10 Nov 2010 06:01:04 +0100 (CET) Date: Wed, 10 Nov 2010 06:01:02 +0100 From: Julian Fagir To: freebsd-questions@freebsd.org Message-ID: <20101110060102.3509f1ae@eselhitler> In-Reply-To: <20101108182717.M66572@sola.nimnet.asn.au> References: <20101106120033.CB14610656D7@hub.freebsd.org> <20101108182717.M66572@sola.nimnet.asn.au> X-Mailer: Claws Mail 3.7.5 (GTK+ 2.14.7; x86_64-unknown-linux-gnu) Mime-Version: 1.0 Content-Type: multipart/signed; boundary="Sig_/YfBX+e=jdxmcjNznKj_69Xw"; protocol="application/pgp-signature"; micalg=PGP-SHA1 X-tubIT-Score: 0.0 () Subject: Re: how to generate pi in c X-BeenThere: freebsd-questions@freebsd.org X-Mailman-Version: 2.1.5 Precedence: list List-Id: User questions List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Wed, 10 Nov 2010 05:01:09 -0000 --Sig_/YfBX+e=jdxmcjNznKj_69Xw Content-Type: text/plain; charset=US-ASCII Content-Transfer-Encoding: quoted-printable Hi, just to get more off-topic... ;-) On Mon, 8 Nov 2010 20:01:19 +1100 (EST) Ian Smith wrote: > And while a square enclosing a circle, it's hardly squaring the circle:=20 > http://en.wikipedia.org/wiki/Squaring_the_circle .. but an interesting=20 > read nonetheless for unrequited seekers of pi-foo :) In our case, it is as possible/exact as computing pi. When computing pi, you resolve to the same problem as you have when 'squaring' a circle: Transcendental numbers over the given field. Just having rational numbers, you can just approximate pi, and as a human or computer, one doesn't have the power to imagine pi or give it an exact valu= e. And I don't know, but doubt there's someone who can imagine anything else t= han rational or at least over Q algebraic numbers. The same with the squared circle: You can approximate it, but over the the field of the constructible numbers, the length is transcendental, so you cannot exactly draw it without further assumptions. Regards, Julian --Sig_/YfBX+e=jdxmcjNznKj_69Xw Content-Type: application/pgp-signature; name=signature.asc Content-Disposition: attachment; filename=signature.asc -----BEGIN PGP SIGNATURE----- Version: GnuPG v1.4.9 (GNU/Linux) iEYEARECAAYFAkzaJw8ACgkQFV4nWcOPv/APZwCfYVatUMk0U7P2aMOR2WngryNw hLcAn1VQ9/sBGNYNC6HW8oJZVnUXuYrl =eM1M -----END PGP SIGNATURE----- --Sig_/YfBX+e=jdxmcjNznKj_69Xw--