Last week, I introduced Emmy Noether, an extraordinary figure in the fields of mathematics and physics. To understand Noether ...

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

Physical security now extends beyond perimeter defense to safeguarding business continuity and operational resilience. Understanding asset criticality and operational dependencies is essential for ...

Abstract: The beamforming optimization for maximizing weighted sum-rate (WSR) in continuous aperture array (CAPA)-based multi-user communications is studied. In particular, the transmit beamformers of ...

Few can deny that the emergence of the four Superman replacements and Ben Reilly revitalized their respective titles, shocking longtime fans while drawing in new ones. Yet, whatever fresh energy they ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...