Ramanujan Factorial Approximation (2012)

johndcook.com
ramanujan-factorial-approximation-(2012)

Ramanujan came up with an approximation for factorial that resembles Stirling’s famous approximation but is much more accurate. As with Stirling’s approximation, the relative error in Ramanujan’s approximation decreases as n gets larger. Typically these approximations are not useful for … Read more

The Ramanujan Machine

ramanujanmachine.com
the-ramanujan-machine

Fundamental constants like e and π are ubiquitous in diverse fields of science, including physics, biology, chemistry, geometry, and abstract mathematics. Nevertheless, for centuries new mathematical formulas relating fundamental constants are scarce and are usually discovered sporadically by mathematical intuition … Read more