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Two US high school girls rewrite 2,000 years of mathematics with a new Pythagorean proof once thought untouchable

For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

Curvature is key to the shape and size of the universe

Positive curvature, like that on a sphere, implies a finite universe, while zero curvature, as on a flat plane or negative ...

Quote of the day by Pythagoras: 'There is nothing so easy but that it becomes difficult when you do it...'

Ancient Greek philosopher Pythagoras, renowned for the Pythagorean Theorem, believed numbers unlocked the universe's order.
IEEE

Converse Lyapunov Theorem for Nabla Asymptotic Stability Without Conservativeness

Abstract: This article focuses on the conservativeness issue of the existing Lyapunov method for linear time-invariant (LTI) nabla fractional-order systems and proposes a converse Lyapunov theorem to ...
IEEE

On Landau’s Eigenvalue Theorem for Line-of-Sight MIMO Channels

Abstract: An alternative derivation is provided for the degrees of freedom (DOF) formula on line-of-sight (LOS) channels via Landau’s eigenvalue theorem for bandlimited signals. Compared to other ...