Difference between revisions of "Element"

 
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The opposite of this would be <math>\notin</math>, which means the element is not contained within the [[set]].
 
The opposite of this would be <math>\notin</math>, which means the element is not contained within the [[set]].
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=== Elements Within Elements ===
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Elements can also be [[set]]s. For example, <math>B = \{1,\,2,\,\{3,\,4\}\}</math>. The elements of <math>B</math> are not 1, 2, 3, and 4. Actually, there are only three elements of <math>B</math>: 1, 2, and the [[set]] <math>\{3,\,4\}</math>.
  
  
 
==See Also==
 
==See Also==
 
* [[Set]]
 
* [[Set]]

Revision as of 23:39, 30 October 2006

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An element, also called a member, is an object contained within a set or class.

$A=\{1,\,2,\,3,\,4\}$ means set $A$ contains the elements 1, 2, 3 and 4.

To show that an element is contained within a set, the $\in$ symbol is used. If $A=\{2,\,3\}$, then $2\in A$.

The opposite of this would be $\notin$, which means the element is not contained within the set.

Elements Within Elements

Elements can also be sets. For example, $B = \{1,\,2,\,\{3,\,4\}\}$. The elements of $B$ are not 1, 2, 3, and 4. Actually, there are only three elements of $B$: 1, 2, and the set $\{3,\,4\}$.


See Also