Though this idea was never realized beyond certain tests, I have taken this step in my subsequent work in computer-generated music and video in ways inspired by, if distinct from, Whitney's early artworks. This article examines ways in which Whitney's ideas can be applied to musical composition, and in particular to ways in which I have extrapolated principles from these ideas to create an artistic correspondence between abstract animation and computer music. ]]>

where λ > 0, *β* ∈ (0,1) and *Ω* is a bounded domain in ℝ^{ N }, *N* ≥ 1, with smooth boundary *∂Ω*. Here, we assume that *f*: [0, ∞) → (0, ∞) is a *C* ^{1} non-decreasing function and *f*(*s*)/*s* ^{β }is decreasing for *s* large. We establish the uniqueness of the positive solution when λ is large.