Jacobi_Elliptic_Functions_(on_Jacobi_Ellipse).svg
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Summary
| Description |
English:
Plot of the Jacobi ellipse (
x
2
+
y
2
/b
2
=1,
b
real) and the twelve Jacobi Elliptic functions
pq(u|m)
for particular values of angle φ and parameter
b
. The solid curve is the ellipse, with
m
=1-1/(b
2
) and
u
=
F(φ,m)
where
F(.|.)
is the
elliptic integral
of the first kind. The dotted curve is the unit circle. Tangent lines from the circle and ellipse at x=cd intersecting the x axis at dc are shown in light grey.
|
| Date | |
| Source | Own work |
| Author | PAR |
| SVG development |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication . |
|
The person who associated a work with this deed has dedicated the work to the
public domain
by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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