Definition:Symmetric Set/Real Numbers
< Definition:Symmetric Set(Redirected from Definition:Symmetric Set of Real Numbers)
Jump to navigation
Jump to search
Definition
Let $\R$ be the set of real numbers.
Let $S \subseteq \R$ such that:
- $\forall x \in S: -x \in S$
That is, for every element in $S$, its negative is also in $S$.
Then $S$ is a symmetric subset of $\R$, or (if $\R$ is implicit) $S$ is a symmetric set.
Also see
- Definition:Symmetric Set: the definition for a general group, which can be seen to be compatible with this by way of Real Numbers under Addition form Group.