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Search results for: Lie group
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Database of the estimations of the numbers of simplices of triangulation of some classical Lie groups
Open Research DataIt is know that any smooth manifold can be triangulated. The number of simplices of triangulation of a given manifold depends on its topological and combinatorial structure. The data consists of the lower bounds for the numbers of simplices of each dimension of any triangulation of classical Lie groups U(n), SU(n), Sp(n), and SO(n) for n up to 25. Each...
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The Chow Ring of flag manifolds
Open Research DataSchubert calculus is the intersection theory of 19th century. Justifying this calculus is the content of the 15th problem of Hilbert. In the course to establish the foundation of algebraic geometry, Van der Vaerden and A. Weil attributed the problem to the determination of the chow ring of flag manifolds G/P, where G is a compact Lie group and P is...
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Tagged images with LEGO bricks part 2
Open Research DataThe data set conatins tagged images conatining LEGO bricks used for traning LEGO bricks detecting network. The images contain random number of the same LEGO bricks on white background. Only the whole bricks are labeled.
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Tagged images with LEGO bricks
Open Research DataThe data set conatins tagged images conatining LEGO bricks used for traning LEGO bricks detecting network. The dataset contains two types of images: