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Ramanujan Approximation for Circumference of an Ellipse

There’s no elementary formula for the circumference of an ellipse, but there is an elementary approximation that is extremely accurate. An ellipse has...

0 replies - 1026 views - 05/08/13 by John Cook in Articles

Ramanujan’s Most Beautiful Identity

G. H. Hardy called the following equation Ramanujan’s “most beautiful identity.” For |q| < 1, If I understood it, I might say it’s beautiful, but...

1 replies - 3020 views - 10/29/12 by John Cook in Articles