Let Fn be a free group of rank n with free basis x1, ⋯, xn. Let {y1, ⋯, yk} be a set of k ≤ n elements of Fn, where each yi is represented by a word Yi(x1, ⋯, xn) in the generators xj. Let ∂ yi/∂ xj ...

Ozzy Osbourne’s cause of death revealed after rock legend’s funeral Texas Dems to DC: “Do something — or get out of the way” Out of nowhere, Teslas are suddenly clogging a Calif. neighborhood, locals ...

A strong foundation in mathematics is essential for sharpening the mind, developing a scientific temperament, and building problem-solving skills that benefit individuals in every sphere of life. From ...