Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

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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 ...

New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...

Journal of the American Mathematical Society, Vol. 32, No. 3 (JULY 2019), pp. 691-707 (17 pages) Tigran Ananyan and Melvin Hochster, Small subalgebras of polynomial rings and Stillman’s conjecture, ...

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 ...

M.Sc. in Applied Mathematics, Technion (Israel Institute of Technology) Ph.D. in Applied Mathematics, Caltech (California Institute of Technology) [1] A. Melman (2023): “Matrices whose eigenvalues are ...

NCERT Solutions for Class 10 Maths Chapter 2, Polynomials: Practicing NCERT questions will help students build their understanding and problem-solving skills. These questions are also important from ...