From 88d71d6654744aecb1605cb4e58908cf074edf20 Mon Sep 17 00:00:00 2001 From: Bokuan Li Date: Sat, 16 May 2026 13:06:48 -0400 Subject: [PATCH] Fixed small typos. --- src/fa/rs/rs-bv.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/fa/rs/rs-bv.tex b/src/fa/rs/rs-bv.tex index 3f40dc7..546212b 100644 --- a/src/fa/rs/rs-bv.tex +++ b/src/fa/rs/rs-bv.tex @@ -137,7 +137,7 @@ \limv{n}S(P_n, c_n, f(\cdot, t), \alpha) = \int_a^b f(s, t) \alpha(ds) \] - uniformly for all $t \in [c, d]$. Since $\beta \in BV([c, d]; G)$, + uniformly for all $t \in [c, d]$. Since $f \in C([a, b] \times [c, d]; E)$, $f$ is uniformly continuous by \autoref{proposition:uniform-continuous-compact}, and $\bracs{f(\cdot, t)|t \in [c, d]} \subset C([a, b]; E)$ is uniformly equicontinuous. As $\beta \in BV([c, d]; G)$, \[ \int_c^d\int_a^b f(s, t) \alpha(ds) \beta(dt) = \limv{n}\int_c^d S(P_n, c_n, f(\cdot, t), \alpha) \beta(dt) \]