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Oct 4, 2014 at 15:17 history edited polmath CC BY-SA 3.0
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Jun 29, 2012 at 11:56 comment added Patricia Hersh My understanding is that real algebraic geometry is used to study e.g. the positions a robot arm with various joints and segment lengths can take by expressing this as a system of polynomial equations to solve, whereas topologists such as Ghrist have used the notion of configuration space for e.g. studying how several robots could move around a factory floor (perhaps on a set of tracks and/or with obstacles) without bumping into each other.
Aug 23, 2011 at 5:14 history edited S. Carnahan CC BY-SA 3.0
Merged Soumya Sanyal's contribution.
Mar 6, 2011 at 16:40 history edited Mikael Vejdemo-Johansson CC BY-SA 2.5
Added citation for AT in robotics.
Mar 6, 2011 at 16:39 comment added Mikael Vejdemo-Johansson There mere fact that algebraic geometry, too, is used to understand configuration spaces in robotics does not mean that algebraic topological techniques are not also in use.
Mar 5, 2011 at 22:15 comment added Elizabeth S. Q. Goodman The "designing robots" feature has been claimed as "motion planning" by the algebraic geometry answer.
Feb 25, 2011 at 16:12 history edited Thierry Zell CC BY-SA 2.5
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Apr 19, 2010 at 19:32 comment added Paul Siegel Here is a good page on this by an expert: math.upenn.edu/~ghrist/index_files/research.htm. Persistent homology in particular is a rapidly developing locus of applied algebraic topology which has attracted the attention of some big names like Shmuel Weinberger and Stephen Smale.
Nov 29, 2009 at 20:35 history edited Dai Tamaki CC BY-SA 2.5
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Oct 28, 2009 at 6:48 history edited Anton Geraschenko CC BY-SA 2.5
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Oct 26, 2009 at 15:22 history edited Anton Geraschenko CC BY-SA 2.5
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Oct 26, 2009 at 15:14 history edited Anton Geraschenko CC BY-SA 2.5
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Oct 26, 2009 at 5:47 history edited Harrison Brown CC BY-SA 2.5
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Oct 26, 2009 at 5:07 history edited Kim Morrison CC BY-SA 2.5
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Oct 26, 2009 at 4:53 history answered Mikael Vejdemo-Johansson CC BY-SA 2.5