Logarithmic Density - Mathematics & Logic - Pure Mathematics Dictionary Definition A weighted notion of density for a set A of positive integers defined, when it exists, by the limit as x→∞ of (1 / log x) Σ_{n≤x, n∈A} 1/n; it measures the proportion of A with harmonic weighting rather than counting measure.
Logarithmic Density - Mathematics & Logic - Pure Mathematics Dictionary Definition A weighted notion of density for a set A of positive integers defined, when it exists, by the limit as x→∞ of (1 / log x) Σ_{n≤x, n∈A} 1/n; it measures the proportion of A with harmonic weighting rather than counting measure.