File:Jacobi Elliptic Functions (on Jacobi Ellipse).svg
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Size of this PNG preview of this SVG file: 572 × 599 pixels. Other resolutions: 229 × 240 pixels | 458 × 480 pixels | 733 × 768 pixels | 978 × 1,024 pixels | 1,955 × 2,048 pixels | 948 × 993 pixels.
Original file (SVG file, nominally 948 × 993 pixels, file size: 70 KB)
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Summary
| Description |
English: Plot of the Jacobi ellipse (x2+y2/b2=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/(b2) 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:
 
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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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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:24, 26 March 2018 | | 948 × 993 (70 KB) | PAR | Better depiction of dc, ds, and dn. Tangent lines pointing to dc included. |
| 13:29, 26 January 2018 |  | 1,054 × 1,140 (71 KB) | PAR | Use b=Sqrt[2] to give a more familiar value of m=1/2 | |
| 10:56, 25 January 2018 |  | 1,009 × 796 (73 KB) | PAR | remove red u and red arc, add e.g. ss=1 to unit lengths. | |
| 16:59, 18 December 2017 |  | 929 × 780 (77 KB) | PAR | User created page with UploadWizard |
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