In this video, I demonstrate how to find the remaining roots of a polynomial function when one zero is given. We'll apply the synthetic division tutorial method along with factoring to efficiently ...

This is to announce the online lecture by Cordian Riener (UiT The Artic University of Norway) on the subject of "Symmetries in algorithmic questions in real algebraic geometry", within the Marie-Curie ...

Automorphism structures in polynomial algebras constitute a central theme in modern algebra, concerned with the classification and behaviour of bijective endomorphisms of polynomial rings. In the ...

In this video, we provide essential "math help" by explaining how to "solve" for the zeros of a "polynomial functions". This ...

Abstract: The principles of Multidimensional Polynomial Algebra developed in a companion paper 1 are applied to two T-bar circuits with bubble-no-bubble coding and one double rail circuit with lateral ...

Abstract: Algebraic phase unwrapping gives the exact expression of the unwrapped phase of a complex polynomial. However, in computation of a Sturm sequence, there exist numerical instabilities due to ...

We determine the structure of Leavitt path algebras of polynomial growth and discuss their automorphisms and involutions. The significance of Theorem 2 is that it shows that the extensions in Theorem ...

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 ...

PolyF2 is a tiny, educational project that shows how to implement algebra over the binary field F2 using native integer operations. On top of single polynomials over F2 (PolyF2), it builds PF2Int — a ...

Problems in competitive programming, especially the ones involving enumeration some kind, are often solved by reducing the problem to computing something on polynomials and formal power series. This ...