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File:Inclusion-exclusion-3sets.png

From Wikipedia, the free encyclopedia

Original file(1,200 × 484 pixels, file size: 96 KB, MIME type: image/png)

Summary

Description
The numbers in the diagram indicate how many times the given formula counts that particular portion of the Venn Diagram. In the first picture, for example, an element in the intersection of A, B, and C will be counted 3 times. Each term of the inclusion-exclusion formula gradually refines these numbers until each portion of the Venn Diagram is counted exactly once.
Date (UTC)
Source Own work (Original text: I (Austinmohr (talk)) created this work entirely by myself.)
Author Austinmohr (talk)
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 “Inclusion-exclusion-3sets.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Licensing

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

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Transferred from en.wikipedia to Commons by Shashenka using CommonsHelper.

The original description page was here. All following user names refer to en.wikipedia.
  • 2010-05-07 01:07 Austinmohr 1200×484× (97959 bytes) {{Information |Description = Shows how the inclusion-exclusion principle gradually refines the count so that each portion of the Venn Diagram is counted exactly once. |Source = I (~~~) created this work entirely by myself. |Date =

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7 May 2010

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Date/TimeThumbnailDimensionsUserComment
current19:26, 29 March 2012Thumbnail for version as of 19:26, 29 March 20121,200 × 484 (96 KB)File Upload Bot (Magnus Manske)Transfered from en.wikipedia by User:Shashenka using CommonsHelper
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Basis of this page is in Wikipedia. Text is available under the CC BY-SA 3.0 Unported License. Non-text media are available under their specified licenses. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc. WIKI 2 is an independent company and has no affiliation with Wikimedia Foundation.