File:JacobiElliptic.HT.svg
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Size of this PNG preview of this SVG file: 748 × 600 pixels. Other resolutions: 299 × 240 pixels | 599 × 480 pixels | 958 × 768 pixels | 1,277 × 1,024 pixels | 2,554 × 2,048 pixels | 970 × 778 pixels.
Original file (SVG file, nominally 970 × 778 pixels, file size: 98 KB)
Summary
| Description |
English: Plot of the degenerate Jacobi curve (x^2+y^2/b^2=1, b=infinity) and the twelve Jacobi Elliptic functions pq(u,1) for a particular value of angle φ. The solid curve is the degenerate ellipse, with m=1 and u=F(φ,1) where F(.,.) is the elliptic integral of the first kind. Since these are the Jacobi functions for m=0 (circular trigonometric functions) but with imaginary arguments, they correspond to the six hyperbolic trigonometric functions. |
| Date | |
| Source | Own work |
| Author | PAR |
| SVG development |  This trigonometry was created with Mathematica. |
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
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:59, 27 December 2017 | | 970 × 778 (98 KB) | wikimediacommons>PAR | User created page with UploadWizard |
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