Difference between revisions of "Intersection of sets"
From Encyclopedia of Mathematics
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| − | One of the basic operations on sets. Suppose one has a finite or infinite collection of sets | + | {{TEX|done}} |
| + | One of the basic operations on sets. Suppose one has a finite or infinite collection of sets $\{A_\alpha\}$ (the subscript $\alpha$ serves to distinguish the elements of the given collection). Then the set of those elements that are contained in all these sets (the set of elements common to all $A_\alpha$) is called the intersection of these sets. | ||
| − | The intersection of these sets is denoted by | + | The intersection of these sets is denoted by $\bigcap A_\alpha$. |
Revision as of 22:20, 11 April 2014
One of the basic operations on sets. Suppose one has a finite or infinite collection of sets $\{A_\alpha\}$ (the subscript $\alpha$ serves to distinguish the elements of the given collection). Then the set of those elements that are contained in all these sets (the set of elements common to all $A_\alpha$) is called the intersection of these sets.
The intersection of these sets is denoted by $\bigcap A_\alpha$.
How to Cite This Entry:
Intersection of sets. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Intersection_of_sets&oldid=16440
Intersection of sets. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Intersection_of_sets&oldid=16440
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article