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AbelTransform.png (500 × 500 pixels, file size: 17 KB, MIME type: image/png)

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Description
English: Geometry of the Abel transform in two dimensions
Date
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Transferred from en.wikipedia to Commons by Maksim.

The original description page was here. All following user names refer to en.wikipedia.
Author en:User:PAR PAR ( en:User_talk:PAR Talk)
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(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.
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This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


It is recommended to name the SVG file “AbelTransform.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Summary

A geometrical interpretation of the Abel transform in two dimensions. An observer (I) looks along a line parallel to the x-axis a distance y above the origin. What the observer sees is the projection (i.e. the integral) of the circularly symmetric function f(r) along the line of sight. The function f(r) is represented in gray in this figure. The observer is assumed to be located infinitely far from the origin so that the limits of integration are ±∞

date/time username edit summary
06:52, 13 February 2005 en:User:PAR
06:51, 13 February 2005 en:User:PAR (Geometry of the Abel transform in two dimensions)

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Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.

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  • (del) (cur) 06:51, 13 February 2005 . . en:User:PAR PAR ( en:User_talk:PAR Talk) . . 500x500 (23480 bytes) (Geometry of the Abel transform in two dimensions)

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13 February 2005

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2311fae4865a085e0e6cf19198a5c5013e891a4a

17,695 byte

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500 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current21:39, 24 September 2007Thumbnail for version as of 21:39, 24 September 2007500 × 500 (17 KB)Sopoforicoptimized with optipng
16:34, 18 March 2006Thumbnail for version as of 16:34, 18 March 2006500 × 500 (23 KB)MaksimLa bildo estas kopiita de wikipedia:en. La originala priskribo estas: {{PD-self}} Geometry of the Abel transform in two dimensions {| border="1" ! date/time || username || edit summary |---- | 06:52, 13 February 2005 || en:User:PAR || <nowiki></no

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