AI techniques excel at solving complex equations in physics, especially inverse problems

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
IEEE

Diophantine Equation and the Euclidean Algorithm: Methods and Philosophy of the Algebraic Approach to Linear Multivariable Control [Lecture Notes]

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...
Harvard Business Review

Accounting for Climate Change

The first rigorous approach to ESG reporting by Robert S. Kaplan and Karthik Ramanna The August 2021 report of the UN’s Intergovernmental Panel on Climate Change warns that pollution caused by humans ...
IEEE

Application of LaSalle’s Invariance Principle on Polynomial Differential Equations Using Quantifier Elimination

Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...