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Subject:   Interesting Mathematical Definition of Web 2.0
Date:   2005-10-13 09:50:37
From:   Owen
In our complexity group, Friam.org, we've been discussing whether or not there is an emergent property to Web 2.0. One contender is Reed's Law
http://www.reed.com/dprframeweb/dprframe.asp?section=gfn


Basically a component of Web 2.0 is migration from "Metcalfe's Law" and "Reed's Law". Metcalfe's law states the value of a network varies as the number of pair-wise connections between nodes, (the complete graph of the nodes). This varies as n^2.


Reed's law states the value of a network varies as the number of subgroups within that network. This varies as 2^n, a much, much larger number.


This transition is occurring due to the migration of the web from a publishing technology to a community.


A good article on the idea is "That Sneaky Exponential—Beyond Metcalfe's Law to the Power of Community Building"
http://www.reed.com/Papers/GFN/reedslaw.html


Owen