United States Naval Academy

Arrow pattern avoidance in permutations: structure and enumeration

Arrow patterns were introduced by Berman and Tenner as a generalization of vincular patterns. They observed that arrow patterns have the potential to bridge the divide between a permutation's cycle notation and its one-line notation; in support of this, they used arrow avoidance...

Unraveling the PFAS Helix: A Statistical Approach

Abstract The extreme persistence of per- and polyfluoroalkyl substances (PFAS) in the environment is rooted in their three-dimensional molecular conformation. The helical twist adopted by perfluoroalkyl chains due to hyperconjugation involving their recalcitrant C–F bonds governs...

Optimizing Dye Removal from Water by Coupling Mg–Al Layered Double Hydroxide Adsorption with UV/H2O2 Oxidation

Abstract Textile dye removal remains challenging because conventional wastewater treatment plants are not specifically designed to eliminate persistent colorants. In this study, calcined Mg–Al layered double hydroxide (LDH) adsorption, UV irradiation, and H₂O₂ oxidation were eval...

Blue-sky thinking about pronunciation research and teaching

Abstract In the fall of 2024, Ron Thomson and Tracey Derwing invited 15 pronunciation scholars representing several subspecialties to participate in a full-day symposium to discuss directions for pronunciation research. To prepare for the symposium, held in conjunction with the P...

When do Ten Points Lie on a Quadric Surface?

Abstract A solution is provided to the Bruxelles Problem, a geometric decision problem originally posed in 1825, that asks for a synthetic construction to determine when ten points in 3-space lie on a quadric surface, a surface given by the vanishing of a degree-2 polynomial. The...