Fixed typo in variation function.
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Bokuan Li
2026-04-28 18:05:37 -04:00
parent d187feb618
commit 6a960a6231

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@@ -29,7 +29,7 @@
is the \textbf{variation function} of $f$ with respect to $\rho$, and:
\begin{enumerate}
\item $T_{f, \rho}: [a, b] \to [0, \infty]$ is a non-negative, non-decreasing function.
\item If $f \in BV([a, b]; E)$, then for any $[c, d] \subset [a, b]$, $[f]_{\text{var}, \rho} = T_{f, \rho}(d) - T_{f, \rho}(a)$.
\item If $f \in BV([a, b]; E)$, then for any $[c, d] \subset [a, b]$, $[f]_{\text{var}, \rho} = T_{f, \rho}(d) - T_{f, \rho}(c)$.
\end{enumerate}
\end{definition}
\begin{proof}