File:Complex log.jpg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (636 × 636 pixels, file size: 97 KB, MIME type: image/jpeg)

Captions

Captions

Add a one-line explanation of what this file represents
This image was uploaded in the JPEG format even though it consists of non-photographic data. This information could be stored more efficiently or accurately in the PNG or SVG format. If possible, please upload a PNG or SVG version of this image without compression artifacts, derived from a non-JPEG source (or with existing artifacts removed). After doing so, please tag the JPEG version with {{Superseded|NewImage.ext}} and remove this tag. This tag should not be applied to photographs or scans. If this image is a diagram or other image suitable for vectorisation, please tag this image with {{Convert to SVG}} instead of {{BadJPEG}}. If not suitable for vectorisation, use {{Convert to PNG}}. For more information, see {{BadJPEG}}.

Summary

[edit]

This is the color encoding used in the Complex log image above This is the color encoding used in the Complex log image above. Each complex value is represented as a particular color. The arg (polar coordinate angle) of the complex number is encoded as the hue of the color. The modulus of the complex number is encoded as the saturation (intensity) of the color.

Description function Log[z] in the complex plane
Date 3 August 2007 (upload date)
Source Own work
 
This diagram was created with Mathematica.
Author Jan Homann; Color encoding image comment author Hal Lane, September 28, 2009

Licensing

[edit]
Public domain This work has been released into the public domain by its author, I, Jan Homann. This applies worldwide.
In some countries this may not be legally possible; if so:
I, Jan Homann grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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

Date/TimeThumbnailDimensionsUserComment
current13:57, 3 August 2007Thumbnail for version as of 13:57, 3 August 2007636 × 636 (97 KB)Jan Homann (talk | contribs)300x300px|This is the color function used in the picture above This is the color function used in the picture above {{Information |Description=function Log[z] in the complex plane |Source=made with mathematica, own work |D

You cannot overwrite this file.

The following page uses 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:Complex_log.jpg&oldid=866765963"