Symbols:C/Set Complement
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Set Complement
- $\map \complement S$ or $\map \CC S$
The set complement (or, when the context is established, just complement) of a set $S$ in a universal set $\mathbb U$ is defined as:
- $\map \complement S = \relcomp {\mathbb U} S = \mathbb U \setminus S$
See the definition of Relative Complement for the definition of $\relcomp {\mathbb U} S$.
The $\LaTeX$ code for \(\map \complement S\) is \map \complement S
.
The $\LaTeX$ code for \(\map \CC S\) is \map \CC S
.
Prime Notation
- $S'$
The set complement can be defined and denoted:
- $S' := \mathbb U \setminus S$
The $\LaTeX$ code for \(S'\) is S'
.
Overline Notation
- $\overline S$
The set complement can be defined and denoted:
- $\overline S := \mathbb U \setminus S$
The $\LaTeX$ code for \(\overline S\) is \overline S
.