From phma@oltronics.net Sun Dec 23 20:14:40 2001 Return-Path: X-Sender: phma@ixazon.dynip.com X-Apparently-To: lojban@yahoogroups.com Received: (EGP: mail-8_0_1_3); 24 Dec 2001 04:14:41 -0000 Received: (qmail 32328 invoked from network); 24 Dec 2001 04:14:40 -0000 Received: from unknown (216.115.97.172) by m11.grp.snv.yahoo.com with QMQP; 24 Dec 2001 04:14:40 -0000 Received: from unknown (HELO neofelis.ixazon.lan) (208.150.110.21) by mta2.grp.snv.yahoo.com with SMTP; 24 Dec 2001 04:14:38 -0000 Received: by neofelis.ixazon.lan (Postfix, from userid 500) id 6DA353C4BF; Sun, 23 Dec 2001 23:14:31 -0500 (EST) Content-Type: text/plain; charset="iso-8859-1" To: lojban@yahoogroups.com Subject: ga'omi'ike'i Date: Sun, 23 Dec 2001 23:14:27 -0500 X-Mailer: KMail [version 1.2] MIME-Version: 1.0 Message-Id: <01122323142726.01539@neofelis> Content-Transfer-Encoding: 8bit Sender: phma@ixazon.dynip.com From: Pierre Abbat Reply-To: phma@oltronics.net X-Yahoo-Group-Post: member; u=7781868 According to the Book 18:17, A ga'omi'ike'i B is [A-B,A+B). In complex numbers, it often makes no sense to describe an interval like that. For instance, sum((x^-(n!))/n) converges in the interior of the unit disk, but diverges on a dense subset of its boundary. If {ga'omi'ike'i} meant "including the center but not the outside", then this could be described as 0 ga'omi'i 1, but not 0 ga'omi'ike'i 1 or 0 ga'omi'iga'o 1, except that {0 ga'omi'i 1} does not parse for reasons I do not understand. With the Book's meaning of {ga'omi'ike'i}, it makes no sense to describe such a disk as ga'o or ke'i, since there is no least or greatest endpoint. phma