Your question on what F(f,g) is: I think it is ordinary function composition, usually denoted fog (where the o is actually a small circle, not the letter "o"). ie
(fog)(x) = f(g(x)). I'm not entirely sure why the use of "inner" and "outer" entailment refers to this, though. Inner and outer normally refer to products. but I don't see an obvious generalisation from the product concepts to If we specialise functional notation to linear algebra with linear functions f: R^n -> R and g: R -> R^n then f(x) is an inner product when f is represented by a row vector and gof is an outer product when f is as above and g is a column vector Perhaps that's the generalisation being talked about. On Fri, Aug 15, 2008 at 12:02:43AM -0600, Nicholas Thompson wrote: > Roseneers, > > If anybody is still willing to help out in understanding chapter five, of > LIFE ITSELF I have posted a queston at > http://www.sfcomplex.org/mw/index.php?title=Talk:RosenNoodles#More_struggles_with_chapter_five > > Let me know, if you cant get in. > > One of you wrote me a kindly note asking after my mental health , given my > obsessive pursuit of this quest. It's ok. I guess. Like all obsessives, I > don't see that I have much choice: I cannot see how one could possibly > understand a text so complex WITHOUT engaging in the sort of obsessive > collaborative head-bashing that goes on in graduate seminars. And I cant > see how I could have the gall to have opinions on Rosen, or on category > theory, unless I understood the text. And I dont see any seminars on Rosen > within easy reach. So..... onward! > > Thanks for the help given so far. > > Nick > > > Nicholas S. Thompson > Emeritus Professor of Psychology and Ethology, > Clark University ([EMAIL PROTECTED]) > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org -- ---------------------------------------------------------------------------- A/Prof Russell Standish Phone 0425 253119 (mobile) Mathematics UNSW SYDNEY 2052 [EMAIL PROTECTED] Australia http://www.hpcoders.com.au ---------------------------------------------------------------------------- ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org
