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edited Aug 23 2011 at 5:14 |
math.AT Algebraic Topology
- Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
- It has also been applied to computer vision and pattern recognition algorithms, for instance here.
- Algebraic Topology can be used in robotics. Motion planning and behavioral algorithms for robotics have been studied with topological tools.
- Knot theory is used when dealing with protein folding and other analysis of DNA function. There are enzymes called 'topoisomerases' that change the knottedness of loops of DNA. In fact, when bacteria (which have circular 'chromosomes' called plasmids) reproduce, they make use of an enzyme whose specific role to to unlink Hopf links! There are antibiotics that target this enzyme.
- Model categories have been used in the study of concurrency. See this paper by Gaucher.
- Nash's proof (Ann. of Math, Vol. 54, No.2; 1951) that every finite non-cooperative game has an equilibrium point in mixed strategies is a direct application of Brouwer's fixed point theorem, and spurred a great deal of interest in applications of game theory to economics (cf. this survey article). Game theory itself has applications in computer science and mathematical finance.
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edited Mar 6 2011 at 16:40 |
math.AT Algebraic Topology
- Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
- It has also been applied to computer vision and pattern recognition algorithms, for instance here.
- Algebraic Topology can be used to design robot arms, in particular to see which points in space it can reach given so robotics. Motion planning and so many joints behavioral algorithms for robotics have been studied with such and such an angle of flexibility..topological tools.[Citation Needed: how does this specifically use algebraic topology?]
- Knot theory is used when dealing with protein folding and other analysis of DNA function. There are enzymes called 'topoisomerases' that change the knottedness of loops of DNA. In fact, when bacteria (which have circular 'chromosomes' called plasmids) reproduce, they make use of an enzyme whose specific role to to unlink Hopf links! There are antibiotics that target this enzyme.
- Model categories have been used in the study of concurrency. See this paper by Gaucher.
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edited Feb 25 2011 at 16:12 |
math.AT Algebraic Topology
- Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
- It has also been applied to computer vision and pattern recognition algorithms, for instance here.
- Algebraic Topology can be used to design roboter robot arms, in particular to see which points in space it can reach given so and so many joints with such and such an angle of flexibility... [Citation Needed: how does this specifically use algebraic topology?]
- Knot theory is used when dealing with protein folding and other analysis of DNA function. There are enzymes called 'topoisomerases' that change the knottedness of loops of DNA. In fact, when bacteria (which have circular 'chromosomes' called plasmids) reproduce, they make use of an enzyme whose specific role to to unlink Hopf links! There are antibiotics that target this enzyme.
- Model categories have been used in the study of concurrency. See this paper by Gaucher.
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edited Nov 29 2009 at 20:35 |
math.AT Algebraic Topology
- Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
- It has also been applied to computer vision and pattern recognition algorithms, for instance here.
- Algebraic Topology can be used to design roboter arms, in particular to see which points in space it can reach given so and so many joints with such and such an angle of flexibility...
- Knot theory is used when dealing with protein folding and other analysis of DNA function. There are enzymes called 'topoisomerases' that change the knottedness of loops of DNA. In fact, when bacteria (which have circular 'chromosomes' called plasmids) reproduce, they make use of an enzyme whose specific role to to unlink Hopf links! There are antibiotics that target this enzyme.
- Model categories have been used in the study of concurrency. See this paper by Gaucher.
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edited Oct 28 2009 at 6:48 |
math.AT Algebraic Topology
- Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
- It has also been applied to computer vision and pattern recognition algorithms, for instance here.
- Algebraic Topology can be used to design roboter arms, in particular to see which points in space it can reach given so and so many joints with such and such an angle of flexibility...
- Knot theory is used when dealing with protein folding and other analysis of DNA function. There are enzymes called 'topoisomerases' that change the knottedness of loops of DNA. In fact, when bacteria (which have circular 'chromosomes' called plasmids) reproduce, they make use of an enzyme whose specific role to to unlink Hopf links! There are antibiotics that target this enzyme.
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edited Oct 26 2009 at 15:22 |
math.AT Algebraic Topology
- Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
- It has also been applied to computer vision and pattern recognition algorithms, for instance here.
- Algebraic Topology can be used to design roboter arms, in particular to see which points in space it can reach given so and so many joints with such and such an angle of flexibility...
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edited Oct 26 2009 at 15:14 |
math.AT Algebraic Topology
- Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
- It has also been applied to computer vision and pattern recognition algorithms, for instance here.
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edited Oct 26 2009 at 5:47 |
math.AT Algebraic Topology
Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
It has also been applied to computer vision and pattern recognition algorithms, for instance here.
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edited Oct 26 2009 at 5:07 |
math.AT Algebraic Topology
Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
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answered Oct 26 2009 at 4:53 |
math.AT Algebraic Topology
Algebraic Topology finds applications in sensor network design, coverage analysis for sensor networks, and in expanding data analysis techniques to give better visualizations for large data sets.
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