A customer normally buys a cup of coffee and one doughnut on the way to work in the morning. However, for one day only, the coffee shop has dropped the price of doughnuts by 30 percent. The customer ...

In order for a small-business order to price her products or services correctly, she must be able to understand what impact that price will have on demand. In some cases, demand will rise or fall with ...

Elastic flows and gradient flows in planar curves form a vibrant area of research in geometric analysis, where curves evolve in time under rules dictated by an energy functional. Central to this ...

The relation between Euler's planar elastic curves and vortex filaments evolving by the localized induction equation (LIE) of hydrodynamics was discovered by Hasimoto in 1971. Basic facts about (an ...