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, ...

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Brainteasers are more than just puzzles as they're mental workouts designed to challenge your mind. Brain teasers come in various forms and difficulty levels and offers different levels of difficulty.

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

Abstract: The concepts of Kronecker maps and Sylvester-polynomial matrix equations are proposed. Some properties of the Kronecker maps are deduced. It is shown that many kinds of matrix equations can ...