From lojban-out@lojban.org Fri Dec 16 15:02:08 2005 Return-Path: X-Sender: lojban-out@lojban.org X-Apparently-To: lojban@yahoogroups.com Received: (qmail 96404 invoked from network); 16 Dec 2005 23:02:08 -0000 Received: from unknown (66.218.66.172) by m33.grp.scd.yahoo.com with QMQP; 16 Dec 2005 23:02:08 -0000 Received: from unknown (HELO chain.digitalkingdom.org) (64.81.49.134) by mta4.grp.scd.yahoo.com with SMTP; 16 Dec 2005 23:02:08 -0000 Received: from lojban-out by chain.digitalkingdom.org with local (Exim 4.54) id 1EnOaP-0005ct-Bj for lojban@yahoogroups.com; Fri, 16 Dec 2005 15:02:05 -0800 Received: from chain.digitalkingdom.org ([64.81.49.134]) by chain.digitalkingdom.org with esmtp (Exim 4.54) id 1EnOYm-0005bj-6b; Fri, 16 Dec 2005 15:00:47 -0800 Received: with ECARTIS (v1.0.0; list lojban-list); Fri, 16 Dec 2005 15:00:12 -0800 (PST) Received: from nobody by chain.digitalkingdom.org with local (Exim 4.54) id 1EnOYJ-0005YS-UA for lojban-list-real@lojban.org; Fri, 16 Dec 2005 14:59:52 -0800 Received: from web81301.mail.mud.yahoo.com ([68.142.199.117]) by chain.digitalkingdom.org with smtp (Exim 4.54) id 1EnOYI-0005YL-O4 for lojban-list@lojban.org; Fri, 16 Dec 2005 14:59:51 -0800 Received: (qmail 74048 invoked by uid 60001); 16 Dec 2005 22:59:47 -0000 Message-ID: <20051216225947.74046.qmail@web81301.mail.mud.yahoo.com> Received: from [70.230.168.167] by web81301.mail.mud.yahoo.com via HTTP; Fri, 16 Dec 2005 14:59:47 PST Date: Fri, 16 Dec 2005 14:59:47 -0800 (PST) In-Reply-To: <8f2fd4aa0512161341x2943f639g265dd50c3a1393a7@mail.gmail.com> MIME-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-Spam-Score: -0.1 (/) X-archive-position: 10918 X-ecartis-version: Ecartis v1.0.0 Errors-to: lojban-list-bounce@lojban.org X-original-sender: clifford-j@sbcglobal.net X-list: lojban-list X-Spam-Score: -1.7 (-) To: lojban@yahoogroups.com X-Originating-IP: 64.81.49.134 X-eGroups-Msg-Info: 1:12:0:0 X-eGroups-From: John E Clifford From: John E Clifford Reply-To: clifford-j@sbcglobal.net Subject: [lojban] Re: A Proposed Explanation of {gunma} X-Yahoo-Group-Post: member; u=116389790; y=qp_REmVV0hf-FCta4-zwDX19-luoCrweT_yzRF1TujnIOCRZeQ X-Yahoo-Profile: lojban_out X-Yahoo-Message-Num: 25314 --- Brandon Wirick wrote: > > Someday I need to find out what is the > meaning in > > Lojban speak of "orthogonal;" I don't get > "at > > right angle to" even as a metaphor (or rather > it > > makes sense as at least two conflicting > metaphors > > and I don't see enough usage to figure which > is > > intended). > > Orthogonality is a concept from linear algebra > that describes a > condition among vectors in an inner-product > space that have > inner-products of zero. In Euclidean space, > orthogonality manifests as > right angles, but it can also apply to sets of > polynomials that have > interesting but hard to visualize > relationships. A zero inner product > means that a projection of one vector in the > direction of the other is > zero; when one vector is scaled, its projection > in the direction of > the other doesn't change, because it's zero. > The metaphor is usually > extended to sets of adjustable things that > don't affect each other > when they are adjusted. I.e., a xorxes says "are independent." Thanks. I am not sure that there was such a thing as linear algebra when last I took maths but I am sure it wasn't in my classes. No wonder the metaphor was obscure to me. To unsubscribe from this list, send mail to lojban-list-request@lojban.org with the subject unsubscribe, or go to http://www.lojban.org/lsg2/, or if you're really stuck, send mail to secretary@lojban.org for help.