File:Essential singularity.png
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DescriptionEssential singularity.png | Hue-luminance plot of exp(1/z), centered on the essential singularity at zero. |
Source | Own work |
Author | Functor Salad |
Visible domain: .
The hue represents the complex argument;
The luminance represents the absolute value. After some experimentation, I chose the following luminance mapping:
This yields a value between -pi/2 and +pi/2, which was then affinely transformed into the required [0,1] range. I chose a slowly-growing function in order to avoid the hue getting drowned by black and white too much.
The resulting color map looks like this:
![](https://upload.wikimedia.org/wikipedia/commons/thumb/7/72/Color_map_fs.png/220px-Color_map_fs.png)
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
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This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 12:32, 20 April 2017 | ![]() | 2,000 × 2,000 (951 KB) | Typometer (talk | contribs) | Reverted to version as of 18:52, 4 September 2007 (UTC) |
06:00, 20 April 2017 | ![]() | 2,000 × 2,000 (835 KB) | SteinsplitterBot (talk | contribs) | Bot: Image rotated by 90° | |
18:52, 4 September 2007 | ![]() | 2,000 × 2,000 (951 KB) | Functor Salad (talk | contribs) | {{Information |Description=Hue-luminance plot of exp(1/z), centered on the essential singularity at zero. |Source=self-made |Date= |Author= Functor Salad }} Visible domain: <math>[-0.7,0.7]\times[-0.7,0.7]</math> The hue represents |
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