Re:An Introduction to Geometric Algebra
by petters on Thursday December 22, 2016 @04:53PM
(#13240705)
Which NP tasks? ("Some" NP tasks are already possible in polynomial time)
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Re:An Introduction to Geometric Algebra
by trashtoss on Thursday December 22, 2016 @05:03PM
(#13240776)
Seconding the question because I want to see the encodings.
Intuitively this makes sense: in the GA formalism a "single" term requires 2^n fields (where n is the spatial dimension), and "simple" operations like addition and multiplication thus require 2^n (or more) operations to evaluate.
If you could instead somehow do those operations in O(1) time you would clearly pick up a rather nice speedup, but again I'm curious what the problems and encodings (as GA) actually look like.
Re:An Introduction to Geometric Algebra
by trashtoss on Thursday December 22, 2016 @05:56PM
(#13241151)
Actually easy to find, for example here: https://members.loria.fr/RSchott/staceyredujanv08.pdf .
Re:An Introduction to Geometric Algebra
by macawfish on Thursday December 22, 2016 @09:03PM
(#13242206)
Yup, that's what I was thinking of.
Re:An Introduction to Geometric Algebra
by macawfish on Friday December 23, 2016 @09:56AM
(#13244991)
This paper mentions the Hamiltonian cycle problem for graphs: https://members.loria.fr/RSchott/staceyredujanv08.pdf