Difference between revisions of "Element"
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| − | An '''element''', also called a '''member''', is an object contained within a [[set]] or | + | An '''element''', also called a '''member''', is an object contained within a [[set]] or class. |
<math>A=\{1,\,2,\,3,\,4\}</math> means set <math>A</math> contains the elements 1, 2, 3 and 4. | <math>A=\{1,\,2,\,3,\,4\}</math> means set <math>A</math> contains the elements 1, 2, 3 and 4. | ||
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Elements can also be sets. 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>: <math>1</math>, <math>2</math>, and the set <math>\{3,\,4\}</math>. | Elements can also be sets. 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>: <math>1</math>, <math>2</math>, and the set <math>\{3,\,4\}</math>. | ||
| − | == | + | == See Also == |
| − | + | * [[Cardinality]] | |
| − | |||
Revision as of 21:22, 1 November 2006
This article is a stub. Help us out by expanding it.
An element, also called a member, is an object contained within a set or class.
means set 
contains the elements 1, 2, 3 and 4.
To show that an element is contained within a set, the 
symbol is used. If 
, then 
.
The opposite of this would be 
, which means the element is not contained within the set.
Elements Within Elements
Elements can also be sets. For example, 
. The elements of 
are not 1, 2, 3, and 4. Actually, there are only three elements of : 
, 
, and the set 
.
