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A model for the generation of neural connections at birth led to the study of W, a random, symmetric, nonnegative definite" linear operator defined on a finite, but very large, dimensional Euclidean space ]. A limit law, as the dimension increases, on the eigenvalue spectrum of W was proven, implying that realizations of W (being identified with organisms in a species) appear totally different on the microscopic level and yet have almost identical spectral densities. The present paper considersdoi:10.1137/0137014 fatcat:poa6y3o6v5dhnehxujalj72ciu