From nobody@digitalkingdom.org Fri Dec 16 15:00:10 2005
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
DomainKey-Signature: a=rsa-sha1; q=dns; c=nofws;
  s=s1024; d=sbcglobal.net;
  h=Message-ID:Received:Date:From:Subject:To:In-Reply-To:MIME-Version:Content-Type:Content-Transfer-Encoding;
  b=0tF/ntr+caBxHo+GHTHmm3Yg6wTaSxK1hNXilFfJQRGZmM1D9dfhwl3NboJ3IfPR2IWvW+ytaFlVYVho8Xf1MNnCS/CJNf+jGifdw0UtjLsSf4qt0dqdH6euFYyPm7UVphiGhukvnIrx7KPpOd9FNcFTAyfjg+6bfgGgbM6umjo=  ;
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)
From: John E Clifford <clifford-j@sbcglobal.net>
Subject: [lojban] Re: A Proposed Explanation of {gunma}
To: lojban-list@lojban.org
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
Sender: lojban-list-bounce@lojban.org
Errors-to: lojban-list-bounce@lojban.org
X-original-sender: clifford-j@sbcglobal.net
Precedence: bulk
Reply-to: lojban-list@lojban.org
X-list: lojban-list

--- Brandon Wirick <brandon@yrick.com> 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.