File:JacobiEllipticFunctions.svg
Original file (SVG file, nominally 1,250 × 1,250 pixels, file size: 338 KB)
Captions
Summary
[edit]DescriptionJacobiEllipticFunctions.svg |
English: Plots of the phase for the twelve Jacobi Elliptic functions pq(u,m) as a function complex argument u, with poles and zeroes indicated. The plots are over one full cycle in the real and imaginary directions with the colored portion indicating phase according to the color wheel at the lower right (which replaces the trivial dd function). Regions with amplitude below 1/3 are colored black, roughly indicating the location of a zero, while regions with amplitude above 3 are colored white, roughly indicating the position of a pole. All plots use m=2/3 with K=K(m), K'=K(1-m), K(.) being the complete elliptic integral of the first kind. Arrows at the poles point in direction of zero phase. Right and left arrows imply positive and negative real residues respectively. Up and down arrows imply positive and negative imaginary residues respectively. |
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Date | ||||
Source | Own work | |||
Author | PAR | |||
SVG development InfoField | This diagram was created with Mathematica by PAR.
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Licensing
[edit]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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 12:19, 25 January 2018 | 1,250 × 1,250 (338 KB) | PAR (talk | contribs) | Lable axes in K and K' to conform to notation in the Jacobi elliptic functions article. Add arrows on poles pointing in the zero phase direction. | |
20:59, 10 January 2018 | 1,250 × 1,250 (335 KB) | PAR (talk | contribs) | User created page with UploadWizard |
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Width | 1000pt |
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Height | 1000pt |