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4 votes

Applications of rank factorization or full rank decomposition

There are many applications of this which have arisen as a result of the Netflix Prize. For a good set of references on such algorithms see A Comparative Study of Collaborative Filtering Algorithms.
Kelly Davis's user avatar
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34 votes

Theoretical physics: Why not just $\mathbb{R}^4$?

A quick answer... Likely the most well-known and accepted paper in the physics community on this is, no surprise, by Witten Global gravitational anomalies. There he argues, in dimensions higher than 4 …
Kelly Davis's user avatar
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6 votes

Is there a relation between 4-dimensional general relativity and exotic smooth structures on...

I assume by general relativity you mean classical general relativity as opposed to any quantum version of general relativity. With that in mind I will attempt to answer your questions: Are there prop …
Kelly Davis's user avatar
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6 votes

Applications of finite continued fractions

Reverse slam dunk http://lakers.topbuzz.com/gallery/d/272643-1/Kobe+Bryant+reverse+slam+dunk+in+the+2009+preseason.JPG Reverse slam dunking any rational surgery diagram for a three-manifold into an i …
7 votes
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208 views

How do metrics behave under joining along a manifold embedded in the boundary?

How do metrics behave under joining along a manifold embedded in the boundary? This is, more-or-less, part of Problem 4.66 in Kirby's List: Problem 4.66 How do metrics (e.g. Riemannian, Lorentz, …
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