From 6a960a6231f9682d4fc35de6b316e0bc78c4acba Mon Sep 17 00:00:00 2001 From: Bokuan Li Date: Tue, 28 Apr 2026 18:05:37 -0400 Subject: [PATCH] Fixed typo in variation function. --- src/fa/rs/bv.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/fa/rs/bv.tex b/src/fa/rs/bv.tex index 4ec07e8..ecbbaf3 100644 --- a/src/fa/rs/bv.tex +++ b/src/fa/rs/bv.tex @@ -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}