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RE: Creating a Complex System using XSLT. Step 1: Create Feedb

• To: "'Thomas B. Passin'" <tpassin@c...>, xml-dev@l...
• Subject: RE: Creating a Complex System using XSLT. Step 1: Create Feedback
• From: "Bullard, Claude L (Len)" <clbullar@i...>
• Date: Mon, 13 Oct 2003 10:39:27 -0500

Consider a case where multiple agents/systems are booking 
the rooms in the hotel building, or just look at airline 
booking strategies. Do these exhibit entropy and how does 
one measure it?

Chaotic behavior usually means multiple systems are 
colliding/competing/conflicting over the same resource 
such that ownership/position/meaning are unpredictable. 
Look for hidden couplers.  The self-organization creates 
the plot but chaos occurs between predictions. What 
one knows about the past is unreliable for predicting 
the future but what one knows about the plot tells the 
limit of the range of outcomes.   A range of outcomes 
can be enumerated and for these enumerated values, one 
can prepare responses.  If one can see the setup, one 
can position the response.  To do this, one must operate 
faster than real time and that is not a spooky operation. 
It is a modeling opportunity.  Agent-based simulation and 
human role playing are two forms of modeling.  A very 
lucrative application will be hosting support and analysis 
for MMRPGs designed for business.  Nice way to train too. 

One manages uncertainty; one does not solve it.  Eliminating 
uncertainty eliminates opportunity.  Chaos is the engine of 
evolution.   See Fisher Information.

len


From: Thomas B. Passin [mailto:tpassin@c...]

So try out some of the standard approaches - come up with a use case, 
write a scenario, personalize the system and write a story for it, 
invent some users and walk through their using the thing.

It is easy to have a stylesheet exhibit exponential growth, possibly up 
to some limit.  Just write a recursive template - like one of those 
templates that escapes a character - and pass it a string parameter that 
equals the previous paramter concatenated with itself.  It will run away 
until the stack grows too large, which you could control with some kind 
of a limit on the parameter length.

Exhibiting complex dynamical behavior almost by definition calls for 
modeling or solving or simulating some mathematical system of equations.

Simpler chaotic systems exhibit their dynamical behavior in a 
two-dimnensional phase space, e.g., plotting x(t+1) vs x(t) on the 
horizontal and vertical axes.  A "normal" system will be repesented by a 
point that traversed some smooth path in the phase space plot, a chaotic 
system will have each point be found on (or near) the attractor, but the 
location of one point is apparently unrelated to the location of the 
next point in time, except for being near the attractor.  I wonder if 
this could be simulated by describing an attractor with a polar 
equation, then setting calues of delta(angle), delta(radius) randomly 
for each step.

If so (and it seems plausible to me but I have never looked into it), 
this might suggest some way to proceed with a stylesheet.

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