^{page 102 note *} “Corso di analica algebrica”, Torino, 1884, pp. 270 and 480. (See “The Mathematical Theory of Probability”, vol. I, by Fisher, Arne. The Macmillan Company, N.Y., 1915, pp. 93–5)Google Scholar.

^{page 102 note †} The useful symbol → stands for “tends to the value.”—See J.I A., vol. li, p. 135.

^{page 104 note *} Geometrically ψ(n)e ^–1/12n and ψ(n)e ^{–1/12[n+t(n)]} are both asymptotic to, but lie on opposite sides of, a line parallel to the axis of n.

^{page 105 note *} If we take n so low as 10, e ^{1/240n 3} = ·0000018, so that we may get a value of log C correct to 5 places.

^{page 106 note *} Since the Note was set up the writer has found that 1/12(n ² + n + ·1) is > 1/12n – t(n) –[1/12(n + 1) – t(n + 1)], where t(n) = 1/360(n³ – n). Hence the factor e ^{1/240n 3} in the lower limit may he replaced by which is both nearer the true value and in closer agreement with that found by higher methods.