In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied...
40 KB (7,832 words) - 21:38, 15 October 2024
named elliptic functions because they come from elliptic integrals. Those integrals are in turn named elliptic because they first were encountered for the...
16 KB (2,442 words) - 01:27, 20 July 2024
to proceed to calculate the elliptic integral. Given Eq. 3 and the Legendre polynomial solution for the elliptic integral: K ( k ) = π 2 ∑ n = 0 ∞ ( (...
43 KB (7,667 words) - 23:25, 23 September 2024
In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum, as...
73 KB (13,085 words) - 01:03, 1 September 2024
Fubini's theorem (redirect from An elegant rearrangement of a conditionally convergent iterated integral)
using the Arctangent Integral, also called Inverse Tangent Integral. The same procedure also works for the Complete Elliptic Integral of the second kind...
41 KB (7,850 words) - 16:24, 1 November 2024
Differential of the first kind (redirect from Hyper-elliptic integral)
to integrals that generalise the elliptic integrals to all curves over the complex numbers. They include for example the hyperelliptic integrals of type...
4 KB (530 words) - 04:59, 21 May 2023
Complete Elliptic integral of τ 1 X 1 ′ = Complete Elliptic integral of 1 − τ 1 2 X 2 = Complete Elliptic integral of τ 2 X 2 ′ = Complete Elliptic integral...
33 KB (6,112 words) - 06:04, 24 September 2024
which has genus zero: see elliptic integral for the origin of the term. However, there is a natural representation of real elliptic curves with shape invariant...
54 KB (8,402 words) - 12:55, 20 September 2024
Arithmetic–geometric mean (category Elliptic functions)
quickly, it provides an efficient way to compute elliptic integrals, which are used, for example, in elliptic filter design. The arithmetic–geometric mean...
17 KB (2,935 words) - 16:03, 13 July 2024
