4 ms·
this infinite sum was featured in a numberphile video a few days ago with a entraining and simple "proof": http://www.youtube.com/watch?v=w-I6XTVZXww http://www
by alternize 13y ago
this infinite sum was featured in a numberphile video a few days ago with a entraining and simple "proof":
http://www.youtube.com/watch?v=w-I6XTVZXww http://www.youtube.com/watch?v=w-I6XTVZXww
and a more advanced explanation & proof in the bonus-video:
http://www.youtube.com/watch?v=E-d9mgo8FGk http://www.youtube.com/watch?v=E-d9mgo8FGk
you should definitely subscribe to numberphile (http://www.youtube.com/user/numberphile http://www.youtube.com/user/numberphile) and their sister channel computerphile (http://www.youtube.com/user/computerphile http://www.youtube.com/user/computerphile) on youtube :)
- DougBTX 13y agoHere's a demonstration of how the "simple" proof breaks down: http://www.quora.com/Mathematics/Theoretically-speaking-how-can-the-sum-of-all-positive-integers-be-1-12 http://www.quora.com/Mathematics/Theoretically-speaking-how-... (via http://kottke.org/14/01/the-sum-of-all-positive-integers http://kottke.org/14/01/the-sum-of-all-positive-integers)