Symbols:Set Theory/Cardinality
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Cardinality
- $\card S$
The cardinality of the set $S$.
For finite sets, this means the number of elements in $S$.
The $\LaTeX$ code for \(\card {S}\) is \card {S}
.
Variants
$\map n S$ Notation
- $\map n S$
The cardinality of a set $S$ can be denoted:
- $\map n S$
Its $\LaTeX$ code is \map n S
.
$\#$ Notation
- $\# S$
The cardinality of a set $S$ can be denoted:
- $\# S$
Its $\LaTeX$ code is \# S
.
Overline
- $\overline S$
The cardinality of a set $S$ can be denoted:
- $\overline S$
Its $\LaTeX$ code is \overline S
.
Also see
See:
- Symbols:Absolute Value
- Symbols:Complex Modulus
- Symbols:Order of Structure
- Symbols:Order of Group Element
for other uses of this symbol.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Appendix: Table $7$: Common signs and symbols: cardinal number
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Appendix $14$: Symbols