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Difference between revisions of "Countably-additive set function"

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An additive [[Set function|set function]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c026/c026720/c0267201.png" /> defined on the algebra <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c026/c026720/c0267202.png" /> of subsets of a set <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c026/c026720/c0267203.png" /> such that
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#REDIRECT[[Set function]]
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<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c026/c026720/c0267204.png" /></td> </tr></table>
 
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for any countable family of non-intersecting sets <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c026/c026720/c0267205.png" /> from <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c026/c026720/c0267206.png" />.
 

Latest revision as of 14:33, 18 September 2012

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How to Cite This Entry:
Countably-additive set function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Countably-additive_set_function&oldid=28013
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
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