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Updated RS integral notation.

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This commit is contained in:
Bokuan Li
2026-01-09 21:26:29 -05:00
parent ee2599c04f
commit af924f6225
2 changed files with 2 additions and 1 deletions
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1
.gitignore vendored
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@@ -1,5 +1,6 @@
plastex/
gerby-website/
plastex-venv/
document/*
*.swp
tags

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src/fa/rs/rs.tex
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@@ -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 $G$.