We have

dy dy dt

——— = ——— · ———

dx dt dx

1 (3λt^3 + 2κt^2 + (1 + 6λ)t + 2κ)

= —————— e^(—(t^2/2)) · ————————————————————————————————

√(2π) a(1 + 2κt + 3λt^2)

From the vanishing of the numerator of dy/dx there must result either

one or three real modes for each pair of values for λ and κ, that is,

for each translated curve. To determine what values of λ and κ give

uni-modal curves and what tri-modal it is convenient to consider the

plane of λ and κ.

The Ohio Journal of Science. Vol. XVI., No. 2 (December, 1915) · 第 61 / 76 题