A mathematical method using swap distance in permutohedrons shows crosslinguistic gestures achieve at least 77% optimality, unlikely by chance, and unifies linguistic principles under optimal assignment.
Let⟨d⟩ ′′ be the new value of⟨d⟩after the probabilities of vertices of the pair(x, y)are swapped and the probabilities of the vertices in the pair(w, z)are also swapped
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How to measure the optimality of word or gesture order with respect to the principle of swap distance minimization
A mathematical method using swap distance in permutohedrons shows crosslinguistic gestures achieve at least 77% optimality, unlikely by chance, and unifies linguistic principles under optimal assignment.