Definition of "symplectic" [sym•plec•tic]

• Describing the geometry of differentiable manifolds equipped with a closed, nondegenerate 2-form (adjective)

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• "Your symplectic one, though, if it has made an error of one A.U. in its position, will put it one radian ahead or behind in its orbit, but still in its correct orbit."
• "If you can put your equations in Hamiltonian form, you can use a symplectic integrator."
• "I learned of the idea long ago but unfortunately I never really learned how the symplectic integration algorithm works."