Consider P₁ ∈ H and P₂ ∈ G where H is the set of HN posters, and G is the set of persons in the general population. Let p(P U) be the probability that a person, P, will produce an utterance, U, using mathematical terms and/or notation. Let q(U) be the probability that U will be better understood in mathematical terms than in plain language.

For any U, p(P₂ U) ≤ q(U) < p(P₁ U)