Lambert's W

Lambert's W function is a mathematical tool used to solve equations where a variable appears both inside and outside of an exponential expression, such as \( x e^{x} = y \). It provides the solution for \( x \) in terms of \( y \). Essentially, W helps find the value of \( x \) when the variable is involved in complex exponential relationships, especially in cases that can't be simplified with elementary functions. It’s useful in fields like engineering, physics, and mathematics for solving certain types of transcendental equations efficiently.