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\section{Seminorms}
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\label{section:seminorms}
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\begin{definition}[Convex]
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\label{definition:convex}
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Let $E$ be a vector space over $K \in \RC$, then $A \subset E$ is \textbf{convex} if for any $x, y \in A$, $\bracs{\lambda x + (1 - \lambda) y| \lambda \in [0, 1]} \subset A$.
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