From lojban-out@lojban.org Fri Dec 16 13:46:25 2005 Return-Path: X-Sender: lojban-out@lojban.org X-Apparently-To: lojban@yahoogroups.com Received: (qmail 24896 invoked from network); 16 Dec 2005 21:46:25 -0000 Received: from unknown (66.218.66.217) by m21.grp.scd.yahoo.com with QMQP; 16 Dec 2005 21:46:25 -0000 Received: from unknown (HELO chain.digitalkingdom.org) (64.81.49.134) by mta2.grp.scd.yahoo.com with SMTP; 16 Dec 2005 21:46:25 -0000 Received: from lojban-out by chain.digitalkingdom.org with local (Exim 4.54) id 1EnNM6-0004QC-7r for lojban@yahoogroups.com; Fri, 16 Dec 2005 13:43:10 -0800 Received: from chain.digitalkingdom.org ([64.81.49.134]) by chain.digitalkingdom.org with esmtp (Exim 4.54) id 1EnNLQ-0004PW-Ek; Fri, 16 Dec 2005 13:42:30 -0800 Received: with ECARTIS (v1.0.0; list lojban-list); Fri, 16 Dec 2005 13:42:20 -0800 (PST) Received: from nobody by chain.digitalkingdom.org with local (Exim 4.54) id 1EnNL1-0004PL-IW for lojban-list-real@lojban.org; Fri, 16 Dec 2005 13:42:03 -0800 Received: from zproxy.gmail.com ([64.233.162.207]) by chain.digitalkingdom.org with esmtp (Exim 4.54) id 1EnNKy-0004P2-Pm for lojban-list@lojban.org; Fri, 16 Dec 2005 13:42:03 -0800 Received: by zproxy.gmail.com with SMTP id o1so774252nzf for ; Fri, 16 Dec 2005 13:41:59 -0800 (PST) Received: by 10.36.91.14 with SMTP id o14mr3450382nzb; Fri, 16 Dec 2005 13:41:59 -0800 (PST) Received: by 10.36.37.4 with HTTP; Fri, 16 Dec 2005 13:41:59 -0800 (PST) Message-ID: <8f2fd4aa0512161341x2943f639g265dd50c3a1393a7@mail.gmail.com> Date: Fri, 16 Dec 2005 13:41:59 -0800 In-Reply-To: <20051216204017.4986.qmail@web81305.mail.mud.yahoo.com> MIME-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by Ecartis Content-Disposition: inline References: <925d17560512161009tfe500fexec0e892b169883b5@mail.gmail.com> <20051216204017.4986.qmail@web81305.mail.mud.yahoo.com> X-Spam-Score: -2.5 (--) X-archive-position: 10915 X-ecartis-version: Ecartis v1.0.0 Errors-to: lojban-list-bounce@lojban.org X-original-sender: brandon@yrick.com X-list: lojban-list X-Spam-Score: -2.5 (--) To: lojban@yahoogroups.com X-Originating-IP: 64.81.49.134 X-eGroups-Msg-Info: 1:12:0:0 X-eGroups-From: Brandon Wirick From: Brandon Wirick Reply-To: brandon@yrick.com Subject: [lojban] Re: A Proposed Explanation of {gunma} X-Yahoo-Group-Post: member; u=116389790; y=V3fEBN-h8GuKXyeOi92d_UXJQMu2gir7eYR_EGof_ohQ2BmPSg X-Yahoo-Profile: lojban_out X-Yahoo-Message-Num: 25311 > 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. 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.