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

This repository contains the mathematical framework and computational validation for the Allin-Riemann Theorem, a novel physical derivation of the Riemann Hypothesis. Contrary to the traditional ...

Applications of the residue theorem, Montel's theorem, Cauchy-estimates, solutions to d-bar, Runge's theorem, Cousin I and II, Ahlfors-Schwarz-Pick Lemma, Riemann Mapping Theorem, Möbius ...

The original version of this story appeared in Quanta Magazine. Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that ...

Abstract: A magnetohydrodynamic (MHD) algorithm for global simulations of planetary magnetospheres is developed based on an approximate nonlinear Riemann solver, the so-called Harten-Lax-van ...

Abstract: This article presents a Lyapunov formulation of the small-gain theorem for the finite-time input-to-state stability (FTISS) of an interconnected nonlinear system composed of two or more ...

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