Gauss–Legendre algorithm: Difference between revisions

Revision as of 07:56, 12 December 2023

Revision as of 21:14, 14 May 2024

Line 52:

:<math>E(k) = \int_0^{\pi/2}\sqrt {1-k^2 \sin^2\theta}\; d\theta</math>

and

:<math>K(k) = \int_0^{\pi/2}\frac{d\theta}{\sqrt {1-k^2 \sin^2\theta}}.</math>

Gauss knew of these two results.<ref name="brent">{{Citation