Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-15 Thread glen e. p. ropella
Thus spake Tom Carter circa 10/14/2009 11:30 PM: > These days, most mathematicians are so comfortable with associativity > that they'll go ahead and include that as part of "the definition" (of, > e.g., a geometric algebra) . . . and then also they won't have a bunch > of theorems that start out,

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-15 Thread glen e. p. ropella
Thus spake Tom Carter circa 10/14/2009 10:49 PM: > Ligature . . . ff is (sometimes) a "single glyph" . . . Yeah, I figured it was something like that. "Clifford" appears in the abstract; so I cut-n-pasted that into the Adobe Reader search box. It showed one of those weird little ctrl-characte

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-14 Thread Tom Carter
Glen - It's probably worth remembering that collections of spatio- temporally located mathematicians will choose to use the "definitions" that give them the amount of "traction" they want. They'll use definitions that are sufficiently general as to cover the cases they're most intereste

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-14 Thread Tom Carter
Glen - Ligature . . . ff is (sometimes) a "single glyph" . . . tom On Oct 14, 2009, at 5:06 PM, glen e. p. ropella wrote: And, more importantly, why do my searches for Clifford fail in Adobe Reader, but succeed in Evince, while reading the following file: http://www.ams.org/bull/2002-39-0

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-14 Thread Carl Tollander
More specifically, http://math.ucr.edu/home/baez/octonions/ Carl Tollander wrote: Look octonions (denizens of Octonia, which borders Philistia?) up in 'This Weeks Finds'John Baez wrote on 'em a bit awhile back... glen e. p. ropella wrote: Thus spake Owen Densmore circa 09-10-10 08:26 PM:

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-14 Thread Roger Critchlow
On Wed, Oct 14, 2009 at 6:06 PM, glen e. p. ropella < g...@agent-based-modeling.com> wrote: > Thus spake Owen Densmore circa 09-10-10 08:26 PM: > > Has anyone read this? > > http://math.ucr.edu/home/baez/octonions/conway_smith/ > > I've not read enough Conway and I'm not sure where to start! > >

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-14 Thread Carl Tollander
Look octonions (denizens of Octonia, which borders Philistia?) up in 'This Weeks Finds'John Baez wrote on 'em a bit awhile back... glen e. p. ropella wrote: Thus spake Owen Densmore circa 09-10-10 08:26 PM: Has anyone read this? http://math.ucr.edu/home/baez/octonions/conway_smith/ I'

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-14 Thread glen e. p. ropella
Thus spake Owen Densmore circa 09-10-10 08:26 PM: > Has anyone read this? > http://math.ucr.edu/home/baez/octonions/conway_smith/ > I've not read enough Conway and I'm not sure where to start! So, is it fair to say that octonions are a geometric algebra, even though they aren't associative? I t

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-12 Thread Roger Critchlow
No, and I cannot help you pick which Conway to read, either. But, if you really want to know about Quaternions, there are several digitized editions of Sir William Rowan Hamilton's Elements of Quaternions available, both the original (1866) single volume prepared by his son and the two volumes edit

Re: [FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-11 Thread Tom Carter
Owen . . . Hmmm . . . several potential issues here . . . If your goal is to "get to know Conway" better, then you really ought to start with ONAG (On Numbers and Games), which is a "classic" of sorts -- a non-standard way of developing number systems (but, if you are thinking about

[FRIAM] On Quaternions and Octonions, by John Conway and Derek Smith

2009-10-10 Thread Owen Densmore
Has anyone read this? http://math.ucr.edu/home/baez/octonions/conway_smith/ I've not read enough Conway and I'm not sure where to start! -- Owen FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John