First, we show that the determinant of a given matrix can be expanded by its principal minors together with a set of arbitrary parameters. The enumeration of Hamiltonian cycles and paths in a graph is ...
Area-preserving mappings of an annulus occur as Poincare mappings of Hamiltonian systems; they were studied extensively by G. D. Birkhoff. Recently Aubry and Mather investigated the subclass of ...
Through a Summer Undergraduate Research Fellowship, Jenny Quan is exploring the mathematical principles behind Rubik's cubes.
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