Category:Definitions/Symmetric Closures
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This category contains definitions related to Symmetric Closures.
Related results can be found in Category:Symmetric Closures.
Let $\RR$ be a relation on a set $S$.
Definition 1
The symmetric closure of $\RR$ is denoted $\RR^\leftrightarrow$, and is defined as the union of $\RR$ with its inverse:
- $\RR^\leftrightarrow = \RR \cup \RR^{-1}$
Definition 2
The symmetric closure of $\RR$ is denoted $\RR^\leftrightarrow$, and is defined as the smallest symmetric relation on $S$ which contains $\RR$.
Pages in category "Definitions/Symmetric Closures"
The following 3 pages are in this category, out of 3 total.