From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: (qmail 11661 invoked by alias); 29 May 2005 19:16:59 -0000 Mailing-List: contact gcc-help@gcc.gnu.org; run by ezmlm Precedence: bulk List-Archive: List-Post: List-Help: Sender: gcc-owner@gcc.gnu.org Received: (qmail 11648 invoked by uid 22791); 29 May 2005 19:16:56 -0000 Received: from smtp-100-sunday.noc.nerim.net (HELO mallaury.noc.nerim.net) (62.4.17.100) by sourceware.org (qpsmtpd/0.30-dev) with ESMTP; Sun, 29 May 2005 19:16:56 +0000 Received: from uniton.integrable-solutions.net (gdr.net1.nerim.net [62.212.99.186]) by mallaury.noc.nerim.net (Postfix) with ESMTP id E7D3562D07; Sun, 29 May 2005 21:16:51 +0200 (CEST) Received: from uniton.integrable-solutions.net (localhost [127.0.0.1]) by uniton.integrable-solutions.net (8.12.10/8.12.10/SuSE Linux 0.7) with ESMTP id j4TKRBKY019281; Sun, 29 May 2005 22:27:12 +0200 Received: (from gdr@localhost) by uniton.integrable-solutions.net (8.12.10/8.12.10/Submit) id j4TKRBj7019280; Sun, 29 May 2005 22:27:11 +0200 To: Georg Bauhaus Cc: Marc Espie , gcc@gcc.gnu.org Subject: Re: Sine and Cosine Accuracy References: <4295DE66.2050701@coyotegulch.com> <20050526154754.GA10785@redhat.com> <4295F374.6070901@coyotegulch.com> <17045.62613.557950.285394@gargle.gargle.HOWL> <20050529155740.D440412D1A@quatramaran.ens.fr> <429A10F4.3040704@futureapps.de> From: Gabriel Dos Reis In-Reply-To: <429A10F4.3040704@futureapps.de> Date: Mon, 30 May 2005 15:19:00 -0000 Message-ID: MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii X-SW-Source: 2005-05/txt/msg01593.txt.bz2 Georg Bauhaus writes: | Marc Espie wrote: | > Sorry for chiming in after all this time, but I can't let this pass. | > Scott, where on earth did you pick up your trig books ? | | Sorry, too, but why one earth do modern time mathematics scholars | think that sine and cosine are bound to have to do with an equally | modern notion of real numbers that clearly exceed what a circle | has to offer? It depends on the mathematical definitions you have for cosine and sine. Standard mathematics make them functions the domain of which contains the real line -- traditional expositions may use power series or differential equatioons (but that does not matter much). The relation to circle is coincidental (happily!), not fundamental. Which is why they do not have narrow scope. Ah, yes, it has nothing to do with people being "scholars". -- Gaby