### What is the longest math equation in the world?

Many mathematical formulas are infinitely long. In a process known as Taylor Expansion, for example, we see that ex = 1 + x + x2/2 + x3/3! + x4/4! + xn/n! where n!=n*(n-1)*(n-2)*...*3*2*1. This series which is equivalent to ex is infinitely long. There are a great many examples of infinitely long equations: Talyor Series, Fourier Transforms, and Lagrangian Transforms to name a few. Also, most mathematical equations are designed to be generalized and relatively simple. If you want an example of longer mathematical equations, you will probably find them in less generalized states, like in physics. Some long but finite equations are Schrodinger's Wave Equation, Integrals to obscure functions, or higher dimensional equations describing complex shapes.