From Symmetry to Monotonicity
arXiv:1712.08415 · doi:10.1007/s00283-018-9808-4
Abstract
We offer an alternative and shorter proof to a result by Jan J.Ubøe about monotonicity properties of a one-dimensional function that appeared in the Mathematical Intelligencer in 2015. Our proof is based on reducing the problem to symmetry properties of a two-dimensional surface.
text slightly re-arranged; version accepted for publication in the Mathematical Intelligencer