Abstract: In this technical note we provide a simple proof of Nehari's theorem on the optimal approximation by $\mathcal {H}_\infty$ functions, based on convex duality.

Rituals seem to be declining in modern life. Finding ways to gather together meaningfully can help us combat loneliness, pain, and division. Decades of research suggest that the quality of our social ...

Pythagoras taught that the planetary spheres moved according to mathematical ratios, forming a cosmic harmony that echoed through the universe. Credit: Samuel Grant, Wikimedia Commons, Public Domain.

Abstract: Grid-tied power converters are widely adopted in renewable energy integration systems. Reliable operation of such power converters is highly desirable, which relies on effective fault ...