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The 80/20 Rule Devoted himself to finding laws in economics, trying to make it into an exact science. Author of the three-volume Trattato di Sociologia Generale First noticed the 80/20 Rule Pareto’s Law of Principle Vilfredo Pareto 1848 - 1923
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Examples of the 80/20 Rule 80% of Pareto’s peas came from 20% of the peapods. 80% of Italy’s land was owned by 20% of the people 80% of profit is produced by 20% of employees. 80% of crime is committed by 20% of the criminals.
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Bell Curve In this example, we see the IQ score and the % of the population. A Bell Curve does not allow IQ under 0 or over 165 in this modell. General rule is that most will be at the center of the curve, while a few will be on the left and right side.
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Power Law In a Bell Curve you don’t allow the very very “unusual” event. The web and number of links follow a power law.
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The web and the distribution of links follow a power law, and that shows us that there are a few hubs that has millions of links, but the average is a much smaller number. (1999) Erdòs and Rènyi, along with Watts and Strogatz, both told us that nodes with k links should decrease exponentially. They both told us that hubs do not exist. If the 80/20 Rule applies, the distribution can be shown as a power law.
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Phase Transition Water to ice. Metal to magnet. From disorder to order. After the transition they follow power laws. (?) How does order emerge from disorder?
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The answer Kenneth Wilson (1936 - ) Renormalization Nobel prize in physics 1982
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