SearchOnMath

The heat equation, \(\frac{\partial \varnothing}{\partial t} = D \nabla^2 \varnothing\), uses the Laplacian of \(\varnothing\) to express diffusion through a medium.

A famous irrational number, \(\pi = \frac{C}{d}\) is defined by the ratio of a circle's circumference (\(C\)) to its diameter (\(d\)).

The Schrödinger equation, \(i \hbar \frac{\partial \Psi}{\partial t} = \hat H \Psi\), is a partial differential equation for the wave function \(\Psi\) of quantum mechanics.