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We consider geometric and analytical aspects of M-theory on a manifold with boundary Y 11. The
partition function of the C-field requires summing over harmonic forms. When Y 11 is closed Hodge theory...
Using homological duality in consecutive pattern avoidance
pattern avoidance exponential generating function linear differential equations
2010/12/14
Using the approach suggested in [2] we present below a sufficient condition guaranteeing
that two collections of patterns of permutations have the same exponential generating functions for the number...