After allowing my computer program to evolve to the value of the fine-structure constant, or more precisely its inverse, which is approximately 137.0359996, I received the following function ...

The Loewner differential equation, introduced by Charles Loewner in 1923, describes the time evolution of a family of conformal (angle-preserving) functions defined on subsets of the complex plane.

When we apply Taylor’s method to the function e x, we get the following equation: The right-hand side of the equation looks much more complicated than the left, but in fact it is much easier to ...

Our physics expert picks his top-five equations, ... misconception is that a constant force makes an object move at a constant speed. What this equation says, ... is called the wave function.

If we ignore gravity, then the pressures over the inlet and outlet areas are constant. Along a streamline on the centerline, the Bernoulli equation and the one-dimensional continuity equation give, ...