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Benno Hansen

Observations: Physics of free kicks: The hidden advantage of long-distance soccer shots - 0 views

www.scientificamerican.com/...post.cfm

physics sports soccer

shared by Benno Hansen on 03 Sep 10 - Cached
  • spinning balls suddenly change trajectory, from a smooth arc to a sharp inward curl
  • spinning balls follow a kind of circular arc as they slow from drag forces and are pushed from a linear path by the so-called Magnus effect
  • For a well-struck soccer ball, the researchers estimate, one might expect a gentle arc followed by a sharp hook at about 50 meters
Benno Hansen

Why Cities Keep Growing, Corporations And People Always Die, And Life Gets Faster | Con... - 0 views

edge.org/...geoffrey-west

cities corporations growth complexity economy urbanism research statistics data physics vidoe Geoffrey West

shared by Benno Hansen on 05 Jan 12 - No Cached
  • you have to innovate faster and faster in order to avoid the collapse
  • The system will collapse, because eventually you would have to be making a major innovation, like you know, IT every six months. Well, that's completely crazy.
  • There's a theorem you can prove that says that if you demand continuous open growth, you have to have continuous cycles of innovation. Well, that's what people believe, and it's the way people have suggested that’s how you get out of the Malthusian paradox. This all agrees within itself but there is a huge catch.
  • ...3 more annotations...
  • We have open-ended growth, increase in pace of life, and the threat of collapse because of the singularity. But there's a big catch about this innovation. Theory says, sure, you can get out of collapse by innovating, but you have to innovate faster and faster.
  • It's great on the one hand that you have this open ended growth. But if you kept going, of course, it doesn't make any sense. Eventually, you run out of resources anyway, but you would collapse
  • One of the bad things about open-ended growth, growing faster than exponentially, is that open-ended growth eventually leads to collapse. It leads to collapse mathematically because of something called finite times singularity.
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