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math.DS2004
Two-system of a Hamiltonian system
M. F. Kondratieva, S. Yu. Sadov
For a Hamiltonian system in R^{2n}, its two-system is defined in the phase space R^{2n} x sp(2n,R). In a sense, it is a combination of the original system and its system in variati…
math.GM2004★ 1 cited
On a necessary and sufficient cyclicity condition for a quadrilateral
Sergey Sadov
A convex quadrilateral with sides a,b,c,d, and diagonals p,q is cyclic iff abp-bcq+cdp-daq=0. This condition, in spite of its simplicity, appears to be unnoted and unexpectedly pro…