Abstract: This article concerns the problem of stability analysis of systems with time-varying delay. Recent developments in this direction involves approximation of a second order polynomial function ...

"An expression that remains unchanged even if $${x}$$ and $${y}$$ are swapped"—this is the intuitive image of a symmetric polynomial. $${x + y}$$, $${xy}$$, and $${x^2 + y^2}$$ all remain the same ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2017. Edited by Kenneth A. Ribet, University of California, Berkeley, CA ...

👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms, we will focus on ...

This is an implementation of the method described in the paper "Non-rigid point cloud registration using piece-wise tricubic polynomials as transformation model". This method can be used to register ...

Department and Coordination of the Licentiate in Mathematics, Federal Institute of Education, Science and Technology of Paraíba (IFPB/CG-PB), Campina Grande-PB, Brazil. The quantum harmonic oscillator ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

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 ...

An algorithm for finding the symbolic factors of a multivariate polynomial with integer coefficients is presented. The algorithm is an extension of a technique used by Kronecker in a proof that the ...

Abstract: The optimization of freeform for beam shaping system is mainly concerned with improving optical metrics like beam pattern and uniformity, while quality evaluation of freeform surfaces has ...