Please note
Nicholas S. Thompson
Research Associate, Redfish Group, Santa Fe, NM ([EMAIL PROTECTED])
Professor of Psychology and Ethology, Clark University ([EMAIL PROTECTED])
----- Original Message -----
From: John F. Kennison
To: [EMAIL PROTECTED];Friam@redfish.com
Cc: Lee N. Rudolph; David Joyce
Sent: 7/28/2007 8:05:04 PM
Subject: RE: algebra and simulation
Nick,
(
One way to view calculus is that it linearizes what would otherwise be a
complicated operation --but the linearization is only valid for an instant
before it is replaced by a different linearization. The basic adaptive system
is one that eventually cycles. Some of my recent research has been to break a
system down into ones that eventually cycle (but not all systems so break down
and I have a long way to go).
---John
-----Original Message-----
From: Nicholas Thompson [mailto:[EMAIL PROTECTED]
Sent: Fri 7/27/2007 11:02 PM
To: Friam@redfish.com
Cc: John F. Kennison; Lee N. Rudolph; David Joyce
Subject: algebra and simulation
..The calculus allowed us to take certain, difficult-to-solve, nonlinear
equations and re-form them into simple linear problems. Is there a mathematics
of complex adaptive social systems that will provide a similar transformation?
Any simulation can be written as an instantiation of a recursive function,
suggesting that a given model run is nothing more than a sequence of
interconnected algebraic equations. But can we say someting more general here?
--- Miller and Page, COMPLEX ADAPTIVE SYSTEMS, Appendix A, p234.
Nicholas S. Thompson
Research Associate, Redfish Group, Santa Fe, NM ([EMAIL PROTECTED])
Professor of Psychology and Ethology, Clark University ([EMAIL PROTECTED])
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