Definition:Star Shaped Set
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Let $V$ be a vector space over a field $K$.
Let $W \subseteq V$ be a subset of $V$.
Then $W$ is called a star shaped set if and only if:
- $\forall x \in W: -x \in W$
where $-x$ is the negative of $x$.
Also known as
Sometimes one occurs the hyphenated form, i.e. star-shaped set.
A star shaped set is also known as a balanced set.