In most formulas, one variable is by itself on the left hand side (LHS) of the formula. This variable is the subject of the formula. Changing the subject of the formula is a process of rearranging a ...

Adding to his extensive collection of simple but effective and clear math apps, Esa Helttula has now introduced Polynomial Long Division. Most of Esa's previous apps have been about arithmetic, ...

Let 𝐾 be a number field with algebraic closure K¯, and let 𝑆 be a finite set of places of 𝐾 containing all the infinite ones. Let Γ₀ be a finitely generated subgroup of Gm(K¯), and let Γ⊂Gm(K¯) be ...

For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, where the variable is raised to the fifth power or more. Mathematicians ...

Let $L$ be a finite dimensional Lie algebra over a field $k$ of characteristic zero, $D(L)$ the quotient division ring of $U(L)$. It is shown that the weights of the ...