From: Gabriel Dos Reis <gdr@integrable-solutions.net>
To: Georg Bauhaus <bauhaus@futureapps.de>
Cc: Marc Espie <espie@quatramaran.ens.fr>, gcc@gcc.gnu.org
Subject: Re: Sine and Cosine Accuracy
Date: Mon, 30 May 2005 15:19:00 -0000 [thread overview]
Message-ID: <m31x7pn5gg.fsf@uniton.integrable-solutions.net> (raw)
In-Reply-To: <429A10F4.3040704@futureapps.de>
Georg Bauhaus <bauhaus@futureapps.de> 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
next prev parent reply other threads:[~2005-05-29 19:16 UTC|newest]
Thread overview: 86+ messages / expand[flat|nested] mbox.gz Atom feed top
2005-05-26 16:05 Scott Robert Ladd
2005-05-26 16:09 ` Andrew Haley
2005-05-26 16:33 ` Scott Robert Ladd
2005-05-26 17:14 ` Andrew Haley
2005-05-26 17:01 ` Paolo Carlini
2005-05-26 17:23 ` Richard Henderson
2005-05-26 17:24 ` Scott Robert Ladd
2005-05-26 17:27 ` Paul Koning
2005-05-26 17:27 ` Scott Robert Ladd
2005-05-26 17:29 ` Dave Korn
2005-05-26 17:37 ` David Daney
2005-05-26 17:56 ` Dave Korn
2005-05-26 17:40 ` Scott Robert Ladd
2005-05-26 18:12 ` Paul Koning
2005-05-26 18:32 ` Scott Robert Ladd
2005-05-26 18:50 ` Paul Koning
2005-05-26 19:14 ` Andrew Pinski
2005-05-26 19:35 ` Scott Robert Ladd
2005-05-29 6:22 ` Geoffrey Keating
2005-05-31 14:34 ` Paul Koning
2005-05-31 22:58 ` Geoff Keating
2005-05-29 12:07 ` Roger Sayle
2005-05-30 15:34 ` Vincent Lefevre
2005-05-29 2:22 ` Kai Henningsen
2005-05-29 18:16 ` Marc Espie
2005-05-29 20:58 ` Georg Bauhaus
2005-05-30 15:19 ` Marc Espie
2005-05-30 17:26 ` Scott Robert Ladd
2005-05-30 17:18 ` Marc Espie
2005-05-30 18:11 ` Scott Robert Ladd
2005-05-30 17:31 ` Scott Robert Ladd
2005-05-31 3:10 ` chris jefferson
2005-05-31 12:17 ` Andrew Haley
2005-05-31 12:46 ` Scott Robert Ladd
2005-05-31 13:02 ` Andrew Haley
2005-05-31 13:34 ` Vincent Lefevre
2005-05-30 15:19 ` Gabriel Dos Reis [this message]
2005-05-30 15:35 ` Bernhard R. Link
2005-05-30 18:59 ` Scott Robert Ladd
2005-05-30 19:16 ` Georg Bauhaus
2005-05-30 19:17 ` Bernhard R. Link
2005-05-30 19:54 ` Georg Bauhaus
2005-05-30 20:04 ` Gabriel Dos Reis
2005-05-26 17:35 ` Kevin Handy
2005-05-26 17:41 ` Paul Koning
2005-05-26 20:26 ` Joseph S. Myers
2005-05-26 21:15 ` Gabriel Dos Reis
2005-05-26 21:17 ` Scott Robert Ladd
2005-05-26 23:25 ` Gabriel Dos Reis
2005-05-27 0:18 ` Scott Robert Ladd
2005-05-27 0:54 ` Gabriel Dos Reis
2005-05-27 11:29 ` Marcin Dalecki
2005-05-27 9:36 ` Marcin Dalecki
2005-05-27 10:48 ` Marcin Dalecki
2005-05-26 21:33 ` Richard Henderson
2005-05-27 0:05 ` Scott Robert Ladd
2005-05-27 0:43 ` Gabriel Dos Reis
2005-05-27 0:54 ` Scott Robert Ladd
2005-05-28 11:26 ` Russ Allbery
2005-05-27 13:56 ` Vincent Lefevre
2005-05-29 3:36 ` Kai Henningsen
2005-05-26 17:53 Morten Welinder
2005-05-26 18:10 ` Scott Robert Ladd
2005-05-26 18:22 ` Dave Korn
2005-05-26 18:49 ` Scott Robert Ladd
2005-05-26 19:28 ` Dave Korn
2005-05-26 18:38 Morten Welinder
2005-05-26 20:58 ` Andrew Haley
2005-05-26 23:31 Uros Bizjak
2005-05-26 23:52 ` Paul Koning
2005-05-26 23:56 ` Gabriel Dos Reis
2005-05-26 23:57 ` Steven Bosscher
2005-05-27 15:09 ` Olivier Galibert
2005-05-27 15:28 ` Vincent Lefevre
2005-05-27 18:27 ` Marcin Dalecki
2005-05-26 23:59 Menezes, Evandro
2005-05-27 15:19 ` Vincent Lefevre
2005-05-27 0:39 Menezes, Evandro
2005-05-27 0:54 ` Scott Robert Ladd
2005-05-27 0:54 Menezes, Evandro
2005-05-27 0:54 ` Scott Robert Ladd
2005-05-27 12:42 ` Scott Robert Ladd
2005-05-28 4:32 Menezes, Evandro
2005-05-28 5:02 ` Scott Robert Ladd
2005-05-28 10:44 ` Gary Funck
2005-05-28 6:42 Menezes, Evandro
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