Algorithmic complexity, a cornerstone of theoretical computer science, examines the intrinsic resource requirements of computational problems and the limits of what can be efficiently computed. Within ...

The field of polynomial systems occupies a central role in computational mathematics, where the intricate interplay between algebra, geometry, and computational complexity is evident. Research in this ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

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, ...

Kasoa (C/R), Feb. 17, GNA – A young Ghanaian Senior High School (SHS) graduate has discovered a new formula for solving polynomial integration. Polynomial integration is a key principle in calculus ...

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 ...

In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...

The program allows solving polynomial nonlinear equations using several different methods and also compares their efficiency in solving a given problem by showing the time in microseconds spent for ...