Difference between revisions of "Difference of two sets"
From Encyclopedia of Mathematics
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An operation on sets. Let $A$ and $B$ be two sets (where the second need not be contained in the first). Then the set of those elements of $A$ that are not elements of $B$ is called the difference of these sets. | An operation on sets. Let $A$ and $B$ be two sets (where the second need not be contained in the first). Then the set of those elements of $A$ that are not elements of $B$ is called the difference of these sets. | ||
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| − | <TR><TD valign="top">[a1]</TD> <TD valign="top"> P. R. Halmos, ''Naive Set Theory'', Springer (1960) ISBN 0-387-90092-6</TD></TR> | + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> P. R. Halmos, ''Naive Set Theory'', Springer (1960) {{ISBN|0-387-90092-6}}</TD></TR> |
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Latest revision as of 05:43, 22 April 2023
An operation on sets. Let $A$ and $B$ be two sets (where the second need not be contained in the first). Then the set of those elements of $A$ that are not elements of $B$ is called the difference of these sets.
The difference between two sets $A$ and $B$ is denoted by $A\setminus B$.
Comments
When $B$ is a subset of $A$, the difference is often termed the complement or relative complement of $B$ in $A$.
See also Symmetric difference of sets.
References
| [a1] | P. R. Halmos, Naive Set Theory, Springer (1960) ISBN 0-387-90092-6 |
How to Cite This Entry:
Difference of two sets. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Difference_of_two_sets&oldid=37123
Difference of two sets. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Difference_of_two_sets&oldid=37123
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article