MathDB3 problems
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Conjecture on rank differences and reconstruction performance of LMC and HDA
Let the linear rank and nonlinear rank of a collective-motion trajectory dataset be the ranks associated with its linear and nonlinear approximations, respectively. Let LMC denote…
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The reflective-boundary-condition conjecture for biological swarming models
Reflective-boundary-condition conjecture. This somewhat counterintuitive result is related to the reflective boundary condition implemented in both models, which may impact the mod…
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Vicsek's second-order phase-transition conjecture for collective motion
Vicsek's phase-transition conjecture. The Vicsek model exhibits a second-order phase transition from disordered to ordered motion as a function of the noise and density.