The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in the planetary atmosphere. This phenomenon is governed by the Navier-Stokes ...

Abstract: In this paper, a numerical procedure to obtain the pseudo-polynomial characteristic equation of a commensurate time-delay system is proposed. The method is formulated in terms of an ...

Finding the characteristic polynomial of a matrix is a fundamental task in linear algebra, with applications ranging from determining eigenvalues and eigenvectors to analyzing the stability of systems ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

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A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...