Wikimedia Commons

File:Gjl-cmap-5-10-1-10-0.jpg

Gjl-cmap-5-10-1-10-0.jpg (300 × 300 pixels, file size: 4 KB, MIME type: image/jpeg)

Captions

Captions

Add a one-line explanation of what this file represents
Description A color map illustrating Visualising Complex Functions
Date
Source Own work
Author Georg-Johann Lay
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Summary

edit
The values indexed s (saturation) control the transition saturated colors→white (resp. gray scale), i.e. intermediate values → infinity.
The values indexed h (value/valenz) control the transition black→bright, i.e. zero → nonzero.
Parameter a controls where the transition takes place: a is just the radius of the circle dividing the two regions (dark/bright, saturated/gray, etc.)
Parameter b controls how sharp the transition is: b small = soft, b large = sharp.
The following images all show the range [-10,10]×[-10,10] and use (radius of rainbow) and (radius of black disc).
edit
  • '"`UNIQ--postMath-00000004-QINU`"'
  • '"`UNIQ--postMath-00000005-QINU`"'
  • '"`UNIQ--postMath-00000006-QINU`"'
  • '"`UNIQ--postMath-00000007-QINU`"' Roles of S and V interchanged

    Roles of S and V interchanged

See also

edit

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current12:26, 25 March 2008Thumbnail for version as of 12:26, 25 March 2008300 × 300 (4 KB)Georg-Johann (talk | contribs){{PS-self}}

You cannot overwrite this file.

File usage on other wikis

The following other wikis use this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Gjl-cmap-5-10-1-10-0.jpg&oldid=473060702"