venndiagram.html

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<TITLE>Venn diagram</TITLE>
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<H1>Venn diagram</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
A visual depiction of membership in <a href="set.html" tppabs="http://hissa.nist.gov/dads/HTML/set.html"><em>sets</em></a> according to binary properties, using overlapping ovals to divide the plane into regions.  Regions inside an oval have the property the oval represents, while regions outside it do not have the property. Regions are shaded to show combinations of properties (or sets) of interest, or elements are placed in regions corresponding to their properties (or membership).
<P><strong>See also</strong>
<a href="karnaughmap.html" tppabs="http://hissa.nist.gov/dads/HTML/karnaughmap.html"><em>Karnaugh map</em></a>.
<P><em>Note:
Here is an example of a Venn diagram with three properties: male/female, happy/sad, and short/tall.  Some of the combinations, such as sad, tall males and happy, short females are labeled. <BR> <img src="venn.gif" tppabs="http://hissa.nist.gov/dads/Images/venn.gif" height="247" width="316"> <P> John Venn first published these diagrams in 1880, although similar diagrams were used much earlier by Leibniz and Euler.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
<H2>Implementation</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://archives.math.utk.edu/software/msdos/discrete.math/venn/.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://archives.math.utk.edu/software/msdos/discrete.math/venn/.html'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://archives.math.utk.edu/software/msdos/discrete.math/venn/.html">program to display Venn diagrams (.exe, etc.)</A>
<H2>More information</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://infinity.sequoias.cc.ca.us/faculty/woodbury/Stats/Tutorial/Sets_Venn2.htm  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://infinity.sequoias.cc.ca.us/faculty/woodbury/Stats/Tutorial/Sets_Venn2.htm'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://infinity.sequoias.cc.ca.us/faculty/woodbury/Stats/Tutorial/Sets_Venn2.htm">Simple diagrams, examples, and explanations</A>. <A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://sue.csc.uvic.ca/%7Ecos/venn/VennWhatEJC.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://sue.csc.uvic.ca/%7Ecos/venn/VennWhatEJC.html'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://sue.csc.uvic.ca/%7Ecos/venn/VennWhatEJC.html">Formal definition and methods to draw diagrams for N variables</A>. A short biography of <A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://rattler.cameron.edu/EMIS/journals/EJC/Surveys/ds5/VennJohnEJC.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://rattler.cameron.edu/EMIS/journals/EJC/Surveys/ds5/VennJohnEJC.html'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://rattler.cameron.edu/EMIS/journals/EJC/Surveys/ds5/VennJohnEJC.html">John Venn</A>, with extensive references.

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<p>
Entry modified Tue Oct 12 10:48:07 1999.<BR>
HTML page formatted Wed Dec 22 09:36:51 1999.

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