From af924f62251f2369d21daa18dbe04d189bdba307 Mon Sep 17 00:00:00 2001 From: Bokuan Li <47512608+Jerry-licious@users.noreply.github.com> Date: Fri, 9 Jan 2026 21:26:29 -0500 Subject: [PATCH] Updated RS integral notation. --- .gitignore | 1 + src/fa/rs/rs.tex | 2 +- 2 files changed, 2 insertions(+), 1 deletion(-) diff --git a/.gitignore b/.gitignore index 3bf579e..081e858 100644 --- a/.gitignore +++ b/.gitignore @@ -1,5 +1,6 @@ plastex/ gerby-website/ +plastex-venv/ document/* *.swp tags diff --git a/src/fa/rs/rs.tex b/src/fa/rs/rs.tex index 5cc54a4..ec98123 100644 --- a/src/fa/rs/rs.tex +++ b/src/fa/rs/rs.tex @@ -18,7 +18,7 @@ Let $f: [a, b] \to E_2$, then $f$ is \textbf{Riemann-Stieltjes integrable} with respect to $G$ if the limit \[ - \int_a^b f dG = \int_a^b f(t)dG(t) = \lim_{(P, c) \in \scp_t([a, b])}S(P, c, f, G) + \int_a^b f dG = \int_a^b f(t)G(dt) = \lim_{(P, c) \in \scp_t([a, b])}S(P, c, f, G) \] exists. In which case, $\int_a^b fdG$ is the \textbf{Riemann-Stieltjes integral} of $G$.