Every finite metric space of strictly negative type admits a canonical signed measure (the microscopic weighting) that maximizes distance energy and equals the derivative of the magnitude function at zero
Sur la définition axiomatique d’une classe d’espace distanciés vectoriellement applicable sur l’espace de Hilbert
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The microscopic weighting on a metric space
Every finite metric space of strictly negative type admits a canonical signed measure (the microscopic weighting) that maximizes distance energy and equals the derivative of the magnitude function at zero